summaryrefslogtreecommitdiff
path: root/fits.nb
blob: aa28e7a09b734c454333ddca82a330536a9de0c6 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
6167
6168
6169
6170
6171
6172
6173
6174
6175
6176
6177
6178
6179
6180
6181
6182
6183
6184
6185
6186
6187
6188
6189
6190
6191
6192
6193
6194
6195
6196
6197
6198
6199
6200
6201
6202
6203
6204
6205
6206
6207
6208
6209
6210
6211
6212
6213
6214
6215
6216
6217
6218
6219
6220
6221
6222
6223
6224
6225
6226
6227
6228
6229
6230
6231
6232
6233
6234
6235
6236
6237
6238
6239
6240
6241
6242
6243
6244
6245
6246
6247
6248
6249
6250
6251
6252
6253
6254
6255
6256
6257
6258
6259
6260
6261
6262
6263
6264
6265
6266
6267
6268
6269
6270
6271
6272
6273
6274
6275
6276
6277
6278
6279
6280
6281
6282
6283
6284
6285
6286
6287
6288
6289
6290
6291
6292
6293
6294
6295
6296
6297
6298
6299
6300
6301
6302
6303
6304
6305
6306
6307
6308
6309
6310
6311
6312
6313
6314
6315
6316
6317
6318
6319
6320
6321
6322
6323
6324
6325
6326
6327
6328
6329
6330
6331
6332
6333
6334
6335
6336
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
6354
6355
6356
6357
6358
6359
6360
6361
6362
6363
6364
6365
6366
6367
6368
6369
6370
6371
6372
6373
6374
6375
6376
6377
6378
6379
6380
6381
6382
6383
6384
6385
6386
6387
6388
6389
6390
6391
6392
6393
6394
6395
6396
6397
6398
6399
6400
6401
6402
6403
6404
6405
6406
6407
6408
6409
6410
6411
6412
6413
6414
6415
6416
6417
6418
6419
6420
6421
6422
6423
6424
6425
6426
6427
6428
6429
6430
6431
6432
6433
6434
6435
6436
6437
6438
6439
6440
6441
6442
6443
6444
6445
6446
6447
6448
6449
6450
6451
6452
6453
6454
6455
6456
6457
6458
6459
6460
6461
6462
6463
6464
6465
6466
6467
6468
6469
6470
6471
6472
6473
6474
6475
6476
6477
6478
6479
6480
6481
6482
6483
6484
6485
6486
6487
6488
6489
6490
6491
6492
6493
6494
6495
6496
6497
6498
6499
6500
6501
6502
6503
6504
6505
6506
6507
6508
6509
6510
6511
6512
6513
6514
6515
6516
6517
6518
6519
6520
6521
6522
6523
6524
6525
6526
6527
6528
6529
6530
6531
6532
6533
6534
6535
6536
6537
6538
6539
6540
6541
6542
6543
6544
6545
6546
6547
6548
6549
6550
6551
6552
6553
6554
6555
6556
6557
6558
6559
6560
6561
6562
6563
6564
6565
6566
6567
6568
6569
6570
6571
6572
6573
6574
6575
6576
6577
6578
6579
6580
6581
6582
6583
6584
6585
6586
6587
6588
6589
6590
6591
6592
6593
6594
6595
6596
6597
6598
6599
6600
6601
6602
6603
6604
6605
6606
6607
6608
6609
6610
6611
6612
6613
6614
6615
6616
6617
6618
6619
6620
6621
6622
6623
6624
6625
6626
6627
6628
6629
6630
6631
6632
6633
6634
6635
6636
6637
6638
6639
6640
6641
6642
6643
6644
6645
6646
6647
6648
6649
6650
6651
6652
6653
6654
6655
6656
6657
6658
6659
6660
6661
6662
6663
6664
6665
6666
6667
6668
6669
6670
6671
6672
6673
6674
6675
6676
6677
6678
6679
6680
6681
6682
6683
6684
6685
6686
6687
6688
6689
6690
6691
6692
6693
6694
6695
6696
6697
6698
6699
6700
6701
6702
6703
6704
6705
6706
6707
6708
6709
6710
6711
6712
6713
6714
6715
6716
6717
6718
6719
6720
6721
6722
6723
6724
6725
6726
6727
6728
6729
6730
6731
6732
6733
6734
6735
6736
6737
6738
6739
6740
6741
6742
6743
6744
6745
6746
6747
6748
6749
6750
6751
6752
6753
6754
6755
6756
6757
6758
6759
6760
6761
6762
6763
6764
6765
6766
6767
6768
6769
6770
6771
6772
6773
6774
6775
6776
6777
6778
6779
6780
6781
6782
6783
6784
6785
6786
6787
6788
6789
6790
6791
6792
6793
6794
6795
6796
6797
6798
6799
6800
6801
6802
6803
6804
6805
6806
6807
6808
6809
6810
6811
6812
6813
6814
6815
6816
6817
6818
6819
6820
6821
6822
6823
6824
6825
6826
6827
6828
6829
6830
6831
6832
6833
6834
6835
6836
6837
6838
6839
6840
6841
6842
6843
6844
6845
6846
6847
6848
6849
6850
6851
6852
6853
6854
6855
6856
6857
6858
6859
6860
6861
6862
6863
6864
6865
6866
6867
6868
6869
6870
6871
6872
6873
6874
6875
6876
6877
6878
6879
6880
6881
6882
6883
6884
6885
6886
6887
6888
6889
6890
6891
6892
6893
6894
6895
6896
6897
6898
6899
6900
6901
6902
6903
6904
6905
6906
6907
6908
6909
6910
6911
6912
6913
6914
6915
6916
6917
6918
6919
6920
6921
6922
6923
6924
6925
6926
6927
6928
6929
6930
6931
6932
6933
6934
6935
6936
6937
6938
6939
6940
6941
6942
6943
6944
6945
6946
6947
6948
6949
6950
6951
6952
6953
6954
6955
6956
6957
6958
6959
6960
6961
6962
6963
6964
6965
6966
6967
6968
6969
6970
6971
6972
6973
6974
6975
6976
6977
6978
6979
6980
6981
6982
6983
6984
6985
6986
6987
6988
6989
6990
6991
6992
6993
6994
6995
6996
6997
6998
6999
7000
7001
7002
7003
7004
7005
7006
7007
7008
7009
7010
7011
7012
7013
7014
7015
7016
7017
7018
7019
7020
7021
7022
7023
7024
7025
7026
7027
7028
7029
7030
7031
7032
7033
7034
7035
7036
7037
7038
7039
7040
7041
7042
7043
7044
7045
7046
7047
7048
7049
7050
7051
7052
7053
7054
7055
7056
7057
7058
7059
7060
7061
7062
7063
7064
7065
7066
7067
7068
7069
7070
7071
7072
7073
7074
7075
7076
7077
7078
7079
7080
7081
7082
7083
7084
7085
7086
7087
7088
7089
7090
7091
7092
7093
7094
7095
7096
7097
7098
7099
7100
7101
7102
7103
7104
7105
7106
7107
7108
7109
7110
7111
7112
7113
7114
7115
7116
7117
7118
7119
7120
7121
7122
7123
7124
7125
7126
7127
7128
7129
7130
7131
7132
7133
7134
7135
7136
7137
7138
7139
7140
7141
7142
7143
7144
7145
7146
7147
7148
7149
7150
7151
7152
7153
7154
7155
7156
7157
7158
7159
7160
7161
7162
7163
7164
7165
7166
7167
7168
7169
7170
7171
7172
7173
7174
7175
7176
7177
7178
7179
7180
7181
7182
7183
7184
7185
7186
7187
7188
7189
7190
7191
7192
7193
7194
7195
7196
7197
7198
7199
7200
7201
7202
7203
7204
7205
7206
7207
7208
7209
7210
7211
7212
7213
7214
7215
7216
7217
7218
7219
7220
7221
7222
7223
7224
7225
7226
7227
7228
7229
7230
7231
7232
7233
7234
7235
7236
7237
7238
7239
7240
7241
7242
7243
7244
7245
7246
7247
7248
7249
7250
7251
7252
7253
7254
7255
7256
7257
7258
7259
7260
7261
7262
7263
7264
7265
7266
7267
7268
7269
7270
7271
7272
7273
7274
7275
7276
7277
7278
7279
7280
7281
7282
7283
7284
7285
7286
7287
7288
7289
7290
7291
7292
7293
7294
7295
7296
7297
7298
7299
7300
7301
7302
7303
7304
7305
7306
7307
7308
7309
7310
7311
7312
7313
7314
7315
7316
7317
7318
7319
7320
7321
7322
7323
7324
7325
7326
7327
7328
7329
7330
7331
7332
7333
7334
7335
7336
7337
7338
7339
7340
7341
7342
7343
7344
7345
7346
7347
7348
7349
7350
7351
7352
7353
7354
7355
7356
7357
7358
7359
7360
7361
7362
7363
7364
7365
7366
7367
7368
7369
7370
7371
7372
7373
7374
7375
7376
7377
7378
7379
7380
7381
7382
7383
7384
7385
7386
7387
7388
7389
7390
7391
7392
7393
7394
7395
7396
7397
7398
7399
7400
7401
7402
7403
7404
7405
7406
7407
7408
7409
7410
7411
7412
7413
7414
7415
7416
7417
7418
7419
7420
7421
7422
7423
7424
7425
7426
7427
7428
7429
7430
7431
7432
7433
7434
7435
7436
7437
7438
7439
7440
7441
7442
7443
7444
7445
7446
7447
7448
7449
7450
7451
7452
7453
7454
7455
7456
7457
7458
7459
7460
7461
7462
7463
7464
7465
7466
7467
7468
7469
7470
7471
7472
7473
7474
7475
7476
7477
7478
7479
7480
7481
7482
7483
7484
7485
7486
7487
7488
7489
7490
7491
7492
7493
7494
7495
7496
7497
7498
7499
7500
7501
7502
7503
7504
7505
7506
7507
7508
7509
7510
7511
7512
7513
7514
7515
7516
7517
7518
7519
7520
7521
7522
7523
7524
7525
7526
7527
7528
7529
7530
7531
7532
7533
7534
7535
7536
7537
7538
7539
7540
7541
7542
7543
7544
7545
7546
7547
7548
7549
7550
7551
7552
7553
7554
7555
7556
7557
7558
7559
7560
7561
7562
7563
7564
7565
7566
7567
7568
7569
7570
7571
7572
7573
7574
7575
7576
7577
7578
7579
7580
7581
7582
7583
7584
7585
7586
7587
7588
7589
7590
7591
7592
7593
7594
7595
7596
7597
7598
7599
7600
7601
7602
7603
7604
7605
7606
7607
7608
7609
7610
7611
7612
7613
7614
7615
7616
7617
7618
7619
7620
7621
7622
7623
7624
7625
7626
7627
7628
7629
7630
7631
7632
7633
7634
7635
7636
7637
7638
7639
7640
7641
7642
7643
7644
7645
7646
7647
7648
7649
7650
7651
7652
7653
7654
7655
7656
7657
7658
7659
7660
7661
7662
7663
7664
7665
7666
7667
7668
7669
7670
7671
7672
7673
7674
7675
7676
7677
7678
7679
7680
7681
7682
7683
7684
7685
7686
7687
7688
7689
7690
7691
7692
7693
7694
7695
7696
7697
7698
7699
7700
7701
7702
7703
7704
7705
7706
7707
7708
7709
7710
7711
7712
7713
7714
7715
7716
7717
7718
7719
7720
7721
7722
7723
7724
7725
7726
7727
7728
7729
7730
7731
7732
7733
7734
7735
7736
7737
7738
7739
7740
7741
7742
7743
7744
7745
7746
7747
7748
7749
7750
7751
7752
7753
7754
7755
7756
7757
7758
7759
7760
7761
7762
7763
7764
7765
7766
7767
7768
7769
7770
7771
7772
7773
7774
7775
7776
7777
7778
7779
7780
7781
7782
7783
7784
7785
7786
7787
7788
7789
7790
7791
7792
7793
7794
7795
7796
7797
7798
7799
7800
7801
7802
7803
7804
7805
7806
7807
7808
7809
7810
7811
7812
7813
7814
7815
7816
7817
7818
7819
7820
7821
7822
7823
7824
7825
7826
7827
7828
7829
7830
7831
7832
7833
7834
7835
7836
7837
7838
7839
7840
7841
7842
7843
7844
7845
7846
7847
7848
7849
7850
7851
7852
7853
7854
7855
7856
7857
7858
7859
7860
7861
7862
7863
7864
7865
7866
7867
7868
7869
7870
7871
7872
7873
7874
7875
7876
7877
7878
7879
7880
7881
7882
7883
7884
7885
7886
7887
7888
7889
7890
7891
7892
7893
7894
7895
7896
7897
7898
7899
7900
7901
7902
7903
7904
7905
7906
7907
7908
7909
7910
7911
7912
7913
7914
7915
7916
7917
7918
7919
7920
7921
7922
7923
7924
7925
7926
7927
7928
7929
7930
7931
7932
7933
7934
7935
7936
7937
7938
7939
7940
7941
7942
7943
7944
7945
7946
7947
7948
7949
7950
7951
7952
7953
7954
7955
7956
7957
7958
7959
7960
7961
7962
7963
7964
7965
7966
7967
7968
7969
7970
7971
7972
7973
7974
7975
7976
7977
7978
7979
7980
7981
7982
7983
7984
7985
7986
7987
7988
7989
7990
7991
7992
7993
7994
7995
7996
7997
7998
7999
8000
8001
8002
8003
8004
8005
8006
8007
8008
8009
8010
8011
8012
8013
8014
8015
8016
8017
8018
8019
8020
8021
8022
8023
8024
8025
8026
8027
8028
8029
8030
8031
8032
8033
8034
8035
8036
8037
8038
8039
8040
8041
8042
8043
8044
8045
8046
8047
8048
8049
8050
8051
8052
8053
8054
8055
8056
8057
8058
8059
8060
8061
8062
8063
8064
8065
8066
8067
8068
8069
8070
8071
8072
8073
8074
8075
8076
8077
8078
8079
8080
8081
8082
8083
8084
8085
8086
8087
8088
8089
8090
8091
8092
8093
8094
8095
8096
8097
8098
8099
8100
8101
8102
8103
8104
8105
8106
8107
8108
8109
8110
8111
8112
8113
8114
8115
8116
8117
8118
8119
8120
8121
8122
8123
8124
8125
8126
8127
8128
8129
8130
8131
8132
8133
8134
8135
8136
8137
8138
8139
8140
8141
8142
8143
8144
8145
8146
8147
8148
8149
8150
8151
8152
8153
8154
8155
8156
8157
8158
8159
8160
8161
8162
8163
8164
8165
8166
8167
8168
8169
8170
8171
8172
8173
8174
8175
8176
8177
8178
8179
8180
8181
8182
8183
8184
8185
8186
8187
8188
8189
8190
8191
8192
8193
8194
8195
8196
8197
8198
8199
8200
8201
8202
8203
8204
8205
8206
8207
8208
8209
8210
8211
8212
8213
8214
8215
8216
8217
8218
8219
8220
8221
8222
8223
8224
8225
8226
8227
8228
8229
8230
8231
8232
8233
8234
8235
8236
8237
8238
8239
8240
8241
8242
8243
8244
8245
8246
8247
8248
8249
8250
8251
8252
8253
8254
8255
8256
8257
8258
8259
8260
8261
8262
8263
8264
8265
8266
8267
8268
8269
8270
8271
8272
8273
8274
8275
8276
8277
8278
8279
8280
8281
8282
8283
8284
8285
8286
8287
8288
8289
8290
8291
8292
8293
8294
8295
8296
8297
8298
8299
8300
8301
8302
8303
8304
8305
8306
8307
8308
8309
8310
8311
8312
8313
8314
8315
8316
8317
8318
8319
8320
8321
8322
8323
8324
8325
8326
8327
8328
8329
8330
8331
8332
8333
8334
8335
8336
8337
8338
8339
8340
8341
8342
8343
8344
8345
8346
8347
8348
8349
8350
8351
8352
8353
8354
8355
8356
8357
8358
8359
8360
8361
8362
8363
8364
8365
8366
8367
8368
8369
8370
8371
8372
8373
8374
8375
8376
8377
8378
8379
8380
8381
8382
8383
8384
8385
8386
8387
8388
8389
8390
8391
8392
8393
8394
8395
8396
8397
8398
8399
8400
8401
8402
8403
8404
8405
8406
8407
8408
8409
8410
8411
8412
8413
8414
8415
8416
8417
8418
8419
8420
8421
8422
8423
8424
8425
8426
8427
8428
8429
8430
8431
8432
8433
8434
8435
8436
8437
8438
8439
8440
8441
8442
8443
8444
8445
8446
8447
8448
8449
8450
8451
8452
8453
8454
8455
8456
8457
8458
8459
8460
8461
8462
8463
8464
8465
8466
8467
8468
8469
8470
8471
8472
8473
8474
8475
8476
8477
8478
8479
8480
8481
8482
8483
8484
8485
8486
8487
8488
8489
8490
8491
8492
8493
8494
8495
8496
8497
8498
8499
8500
8501
8502
8503
8504
8505
8506
8507
8508
8509
8510
8511
8512
8513
8514
8515
8516
8517
8518
8519
8520
8521
8522
8523
8524
8525
8526
8527
8528
8529
8530
8531
8532
8533
8534
8535
8536
8537
8538
8539
8540
8541
8542
8543
8544
8545
8546
8547
8548
8549
8550
8551
8552
8553
8554
8555
8556
8557
8558
8559
8560
8561
8562
8563
8564
8565
8566
8567
8568
8569
8570
8571
8572
8573
8574
8575
8576
8577
8578
8579
8580
8581
8582
8583
8584
8585
8586
8587
8588
8589
8590
8591
8592
8593
8594
8595
8596
8597
8598
8599
8600
8601
8602
8603
8604
8605
8606
8607
8608
8609
8610
8611
8612
8613
8614
8615
8616
8617
8618
8619
8620
8621
8622
8623
8624
8625
8626
8627
8628
8629
8630
8631
8632
8633
8634
8635
8636
8637
8638
8639
8640
8641
8642
8643
8644
8645
8646
8647
8648
8649
8650
8651
8652
8653
8654
8655
8656
8657
8658
8659
8660
8661
8662
8663
8664
8665
8666
8667
8668
8669
8670
8671
8672
8673
8674
8675
8676
8677
8678
8679
8680
8681
8682
8683
8684
8685
8686
8687
8688
8689
8690
8691
8692
8693
8694
8695
8696
8697
8698
8699
8700
8701
8702
8703
8704
8705
8706
8707
8708
8709
8710
8711
8712
8713
8714
8715
8716
8717
8718
8719
8720
8721
8722
8723
8724
8725
8726
8727
8728
8729
8730
8731
8732
8733
8734
8735
8736
8737
8738
8739
8740
8741
8742
8743
8744
8745
8746
8747
8748
8749
8750
8751
8752
8753
8754
8755
8756
8757
8758
8759
8760
8761
8762
8763
8764
8765
8766
8767
8768
8769
8770
8771
8772
8773
8774
8775
8776
8777
8778
8779
8780
8781
8782
8783
8784
8785
8786
8787
8788
8789
8790
8791
8792
8793
8794
8795
8796
8797
8798
8799
8800
8801
8802
8803
8804
8805
8806
8807
8808
8809
8810
8811
8812
8813
8814
8815
8816
8817
8818
8819
8820
8821
8822
8823
8824
8825
8826
8827
8828
8829
8830
8831
8832
8833
8834
8835
8836
8837
8838
8839
8840
8841
8842
8843
8844
8845
8846
8847
8848
8849
8850
8851
8852
8853
8854
8855
8856
8857
8858
8859
8860
8861
8862
8863
8864
8865
8866
8867
8868
8869
8870
8871
8872
8873
8874
8875
8876
8877
8878
8879
8880
8881
8882
8883
8884
8885
8886
8887
8888
8889
8890
8891
8892
8893
8894
8895
8896
8897
8898
8899
8900
8901
8902
8903
8904
8905
8906
8907
8908
8909
8910
8911
8912
8913
8914
8915
8916
8917
8918
8919
8920
8921
8922
8923
8924
8925
8926
8927
8928
8929
8930
8931
8932
8933
8934
8935
8936
8937
8938
8939
8940
8941
8942
8943
8944
8945
8946
8947
8948
8949
8950
8951
8952
8953
8954
8955
8956
8957
8958
8959
8960
8961
8962
8963
8964
8965
8966
8967
8968
8969
8970
8971
8972
8973
8974
8975
8976
8977
8978
8979
8980
8981
8982
8983
8984
8985
8986
8987
8988
8989
8990
8991
8992
8993
8994
8995
8996
8997
8998
8999
9000
9001
9002
9003
9004
9005
9006
9007
9008
9009
9010
9011
9012
9013
9014
9015
9016
9017
9018
9019
9020
9021
9022
9023
9024
9025
9026
9027
9028
9029
9030
9031
9032
9033
9034
9035
9036
9037
9038
9039
9040
9041
9042
9043
9044
9045
9046
9047
9048
9049
9050
9051
9052
9053
9054
9055
9056
9057
9058
9059
9060
9061
9062
9063
9064
9065
9066
9067
9068
9069
9070
9071
9072
9073
9074
9075
9076
9077
9078
9079
9080
9081
9082
9083
9084
9085
9086
9087
9088
9089
9090
9091
9092
9093
9094
9095
9096
9097
9098
9099
9100
9101
9102
9103
9104
9105
9106
9107
9108
9109
9110
9111
9112
9113
9114
9115
9116
9117
9118
9119
9120
9121
9122
9123
9124
9125
9126
9127
9128
9129
9130
9131
9132
9133
9134
9135
9136
9137
9138
9139
9140
9141
9142
9143
9144
9145
9146
9147
9148
9149
9150
9151
9152
9153
9154
9155
9156
9157
9158
9159
9160
9161
9162
9163
9164
9165
9166
9167
9168
9169
9170
9171
9172
9173
9174
9175
9176
9177
9178
9179
9180
9181
9182
9183
9184
9185
9186
9187
9188
9189
9190
9191
9192
9193
9194
9195
9196
9197
9198
9199
9200
9201
9202
9203
9204
9205
9206
9207
9208
9209
9210
9211
9212
9213
9214
9215
9216
9217
9218
9219
9220
9221
9222
9223
9224
9225
9226
9227
9228
9229
9230
9231
9232
9233
9234
9235
9236
9237
9238
9239
9240
9241
9242
9243
9244
9245
9246
9247
9248
9249
9250
9251
9252
9253
9254
9255
9256
9257
9258
9259
9260
9261
9262
9263
9264
9265
9266
9267
9268
9269
9270
9271
9272
9273
9274
9275
9276
9277
9278
9279
9280
9281
9282
9283
9284
9285
9286
9287
9288
9289
9290
9291
9292
9293
9294
9295
9296
9297
9298
9299
9300
9301
9302
9303
9304
9305
9306
9307
9308
9309
9310
9311
9312
9313
9314
9315
9316
9317
9318
9319
9320
9321
9322
9323
9324
9325
9326
9327
9328
9329
9330
9331
9332
9333
9334
9335
9336
9337
9338
9339
9340
9341
9342
9343
9344
9345
9346
9347
9348
9349
9350
9351
9352
9353
9354
9355
9356
9357
9358
9359
9360
9361
9362
9363
9364
9365
9366
9367
9368
9369
9370
9371
9372
9373
9374
9375
9376
9377
9378
9379
9380
9381
9382
9383
9384
9385
9386
9387
9388
9389
9390
9391
9392
9393
9394
9395
9396
9397
9398
9399
9400
9401
9402
9403
9404
9405
9406
9407
9408
9409
9410
9411
9412
9413
9414
9415
9416
9417
9418
9419
9420
9421
9422
9423
9424
9425
9426
9427
9428
9429
9430
9431
9432
9433
9434
9435
9436
9437
9438
9439
9440
9441
9442
9443
9444
9445
9446
9447
9448
9449
9450
9451
9452
9453
9454
9455
9456
9457
9458
9459
9460
9461
9462
9463
9464
9465
9466
9467
9468
9469
9470
9471
9472
9473
9474
9475
9476
9477
9478
9479
9480
9481
9482
9483
9484
9485
9486
9487
9488
9489
9490
9491
9492
9493
9494
9495
9496
9497
9498
9499
9500
9501
9502
9503
9504
9505
9506
9507
9508
9509
9510
9511
9512
9513
9514
9515
9516
9517
9518
9519
9520
9521
9522
9523
9524
9525
9526
9527
9528
9529
9530
9531
9532
9533
9534
9535
9536
9537
9538
9539
9540
9541
9542
9543
9544
9545
9546
9547
9548
9549
9550
9551
9552
9553
9554
9555
9556
9557
9558
9559
9560
9561
9562
9563
9564
9565
9566
9567
9568
9569
9570
9571
9572
9573
9574
9575
9576
9577
9578
9579
9580
9581
9582
9583
9584
9585
9586
9587
9588
9589
9590
9591
9592
9593
9594
9595
9596
9597
9598
9599
9600
9601
9602
9603
9604
9605
9606
9607
9608
9609
9610
9611
9612
9613
9614
9615
9616
9617
9618
9619
9620
9621
9622
9623
9624
9625
9626
9627
9628
9629
9630
9631
9632
9633
9634
9635
9636
9637
9638
9639
9640
9641
9642
9643
9644
9645
9646
9647
9648
9649
9650
9651
9652
9653
9654
9655
9656
9657
9658
9659
9660
9661
9662
9663
9664
9665
9666
9667
9668
9669
9670
9671
9672
9673
9674
9675
9676
9677
9678
9679
9680
9681
9682
9683
9684
9685
9686
9687
9688
9689
9690
9691
9692
9693
9694
9695
9696
9697
9698
9699
9700
9701
9702
9703
9704
9705
9706
9707
9708
9709
9710
9711
9712
9713
9714
9715
9716
9717
9718
9719
9720
9721
9722
9723
9724
9725
9726
9727
9728
9729
9730
9731
9732
9733
9734
9735
9736
9737
9738
9739
9740
9741
9742
9743
9744
9745
9746
9747
9748
9749
9750
9751
9752
9753
9754
9755
9756
9757
9758
9759
9760
9761
9762
9763
9764
9765
9766
9767
9768
9769
9770
9771
9772
9773
9774
9775
9776
9777
9778
9779
9780
9781
9782
9783
9784
9785
9786
9787
9788
9789
9790
9791
9792
9793
9794
9795
9796
9797
9798
9799
9800
9801
9802
9803
9804
9805
9806
9807
9808
9809
9810
9811
9812
9813
9814
9815
9816
9817
9818
9819
9820
9821
9822
9823
9824
9825
9826
9827
9828
9829
9830
9831
9832
9833
9834
9835
9836
9837
9838
9839
9840
9841
9842
9843
9844
9845
9846
9847
9848
9849
9850
9851
9852
9853
9854
9855
9856
9857
9858
9859
9860
9861
9862
9863
9864
9865
9866
9867
9868
9869
9870
9871
9872
9873
9874
9875
9876
9877
9878
9879
9880
9881
9882
9883
9884
9885
9886
9887
9888
9889
9890
9891
9892
9893
9894
9895
9896
9897
9898
9899
9900
9901
9902
9903
9904
9905
9906
9907
9908
9909
9910
9911
9912
9913
9914
9915
9916
9917
9918
9919
9920
9921
9922
9923
9924
9925
9926
9927
9928
9929
9930
9931
9932
9933
9934
9935
9936
9937
9938
9939
9940
9941
9942
9943
9944
9945
9946
9947
9948
9949
9950
9951
9952
9953
9954
9955
9956
9957
9958
9959
9960
9961
9962
9963
9964
9965
9966
9967
9968
9969
9970
9971
9972
9973
9974
9975
9976
9977
9978
9979
9980
9981
9982
9983
9984
9985
9986
9987
9988
9989
9990
9991
9992
9993
9994
9995
9996
9997
9998
9999
10000
10001
10002
10003
10004
10005
10006
10007
10008
10009
10010
10011
10012
10013
10014
10015
10016
10017
10018
10019
10020
10021
10022
10023
10024
10025
10026
10027
10028
10029
10030
10031
10032
10033
10034
10035
10036
10037
10038
10039
10040
10041
10042
10043
10044
10045
10046
10047
10048
10049
10050
10051
10052
10053
10054
10055
10056
10057
10058
10059
10060
10061
10062
10063
10064
10065
10066
10067
10068
10069
10070
10071
10072
10073
10074
10075
10076
10077
10078
10079
10080
10081
10082
10083
10084
10085
10086
10087
10088
10089
10090
10091
10092
10093
10094
10095
10096
10097
10098
10099
10100
10101
10102
10103
10104
10105
10106
10107
10108
10109
10110
10111
10112
10113
10114
10115
10116
10117
10118
10119
10120
10121
10122
10123
10124
10125
10126
10127
10128
10129
10130
10131
10132
10133
10134
10135
10136
10137
10138
10139
10140
10141
10142
10143
10144
10145
10146
10147
10148
10149
10150
10151
10152
10153
10154
10155
10156
10157
10158
10159
10160
10161
10162
10163
10164
10165
10166
10167
10168
10169
10170
10171
10172
10173
10174
10175
10176
10177
10178
10179
10180
10181
10182
10183
10184
10185
10186
10187
10188
10189
10190
10191
10192
10193
10194
10195
10196
10197
10198
10199
10200
10201
10202
10203
10204
10205
10206
10207
10208
10209
10210
10211
10212
10213
10214
10215
10216
10217
10218
10219
10220
10221
10222
10223
10224
10225
10226
10227
10228
10229
10230
10231
10232
10233
10234
10235
10236
10237
10238
10239
10240
10241
10242
10243
10244
10245
10246
10247
10248
10249
10250
10251
10252
10253
10254
10255
10256
10257
10258
10259
10260
10261
10262
10263
10264
10265
10266
10267
10268
10269
10270
10271
10272
10273
10274
10275
10276
10277
10278
10279
10280
10281
10282
10283
10284
10285
10286
10287
10288
10289
10290
10291
10292
10293
10294
10295
10296
10297
10298
10299
10300
10301
10302
10303
10304
10305
10306
10307
10308
10309
10310
10311
10312
10313
10314
10315
10316
10317
10318
10319
10320
10321
10322
10323
10324
10325
10326
10327
10328
10329
10330
10331
10332
10333
10334
10335
10336
10337
10338
10339
10340
10341
10342
10343
10344
10345
10346
10347
10348
10349
10350
10351
10352
10353
10354
10355
10356
10357
10358
10359
10360
10361
10362
10363
10364
10365
10366
10367
10368
10369
10370
10371
10372
10373
10374
10375
10376
10377
10378
10379
10380
10381
10382
10383
10384
10385
10386
10387
10388
10389
10390
10391
10392
10393
10394
10395
10396
10397
10398
10399
10400
10401
10402
10403
10404
10405
10406
10407
10408
10409
10410
10411
10412
10413
10414
10415
10416
10417
10418
10419
10420
10421
10422
10423
10424
10425
10426
10427
10428
10429
10430
10431
10432
10433
10434
10435
10436
10437
10438
10439
10440
10441
10442
10443
10444
10445
10446
10447
10448
10449
10450
10451
10452
10453
10454
10455
10456
10457
10458
10459
10460
10461
10462
10463
10464
10465
10466
10467
10468
10469
10470
10471
10472
10473
10474
10475
10476
10477
10478
10479
10480
10481
10482
10483
10484
10485
10486
10487
10488
10489
10490
10491
10492
10493
10494
10495
10496
10497
10498
10499
10500
10501
10502
10503
10504
10505
10506
10507
10508
10509
10510
10511
10512
10513
10514
10515
10516
10517
10518
10519
10520
10521
10522
10523
10524
10525
10526
10527
10528
10529
10530
10531
10532
10533
10534
10535
10536
10537
10538
10539
10540
10541
10542
10543
10544
10545
10546
10547
10548
10549
10550
10551
10552
10553
10554
10555
10556
10557
10558
10559
10560
10561
10562
10563
10564
10565
10566
10567
10568
10569
10570
10571
10572
10573
10574
10575
10576
10577
10578
10579
10580
10581
10582
10583
10584
10585
10586
10587
10588
10589
10590
10591
10592
10593
10594
10595
10596
10597
10598
10599
10600
10601
10602
10603
10604
10605
10606
10607
10608
10609
10610
10611
10612
10613
10614
10615
10616
10617
10618
10619
10620
10621
10622
10623
10624
10625
10626
10627
10628
10629
10630
10631
10632
10633
10634
10635
10636
10637
10638
10639
10640
10641
10642
10643
10644
10645
10646
10647
10648
10649
10650
10651
10652
10653
10654
10655
10656
10657
10658
10659
10660
10661
10662
10663
10664
10665
10666
10667
10668
10669
10670
10671
10672
10673
10674
10675
10676
10677
10678
10679
10680
10681
10682
10683
10684
10685
10686
10687
10688
10689
10690
10691
10692
10693
10694
10695
10696
10697
10698
10699
10700
10701
10702
10703
10704
10705
10706
10707
10708
10709
10710
10711
10712
10713
10714
10715
10716
10717
10718
10719
10720
10721
10722
10723
10724
10725
10726
10727
10728
10729
10730
10731
10732
10733
10734
10735
10736
10737
10738
10739
10740
10741
10742
10743
10744
10745
10746
10747
10748
10749
10750
10751
10752
10753
10754
10755
10756
10757
10758
10759
10760
10761
10762
10763
10764
10765
10766
10767
10768
10769
10770
10771
10772
10773
10774
10775
10776
10777
10778
10779
10780
10781
10782
10783
10784
10785
10786
10787
10788
10789
10790
10791
10792
10793
10794
10795
10796
10797
10798
10799
10800
10801
10802
10803
10804
10805
10806
10807
10808
10809
10810
10811
10812
10813
10814
10815
10816
10817
10818
10819
10820
10821
10822
10823
10824
10825
10826
10827
10828
10829
10830
10831
10832
10833
10834
10835
10836
10837
10838
10839
10840
10841
10842
10843
10844
10845
10846
10847
10848
10849
10850
10851
10852
10853
10854
10855
10856
10857
10858
10859
10860
10861
10862
10863
10864
10865
10866
10867
10868
10869
10870
10871
10872
10873
10874
10875
10876
10877
10878
10879
10880
10881
10882
10883
10884
10885
10886
10887
10888
10889
10890
10891
10892
10893
10894
10895
10896
10897
10898
10899
10900
10901
10902
10903
10904
10905
10906
10907
10908
10909
10910
10911
10912
10913
10914
10915
10916
10917
10918
10919
10920
10921
10922
10923
10924
10925
10926
10927
10928
10929
10930
10931
10932
10933
10934
10935
10936
10937
10938
10939
10940
10941
10942
10943
10944
10945
10946
10947
10948
10949
10950
10951
10952
10953
10954
10955
10956
10957
10958
10959
10960
10961
10962
10963
10964
10965
10966
10967
10968
10969
10970
10971
10972
10973
10974
10975
10976
10977
10978
10979
10980
10981
10982
10983
10984
10985
10986
10987
10988
10989
10990
10991
10992
10993
10994
10995
10996
10997
10998
10999
11000
11001
11002
11003
11004
11005
11006
11007
11008
11009
11010
11011
11012
11013
11014
11015
11016
11017
11018
11019
11020
11021
11022
11023
11024
11025
11026
11027
11028
11029
11030
11031
11032
11033
11034
11035
11036
11037
11038
11039
11040
11041
11042
11043
11044
11045
11046
11047
11048
11049
11050
11051
11052
11053
11054
11055
11056
11057
11058
11059
11060
11061
11062
11063
11064
11065
11066
11067
11068
11069
11070
11071
11072
11073
11074
11075
11076
11077
11078
11079
11080
11081
11082
11083
11084
11085
11086
11087
11088
11089
11090
11091
11092
11093
11094
11095
11096
11097
11098
11099
11100
11101
11102
11103
11104
11105
11106
11107
11108
11109
11110
11111
11112
11113
11114
11115
11116
11117
11118
11119
11120
11121
11122
11123
11124
11125
11126
11127
11128
11129
11130
11131
11132
11133
11134
11135
11136
11137
11138
11139
11140
11141
11142
11143
11144
11145
11146
11147
11148
11149
11150
11151
11152
11153
11154
11155
11156
11157
11158
11159
11160
11161
11162
11163
11164
11165
11166
11167
11168
11169
11170
11171
11172
11173
11174
11175
11176
11177
11178
11179
11180
11181
11182
11183
11184
11185
11186
11187
11188
11189
11190
11191
11192
11193
11194
11195
11196
11197
11198
11199
11200
11201
11202
11203
11204
11205
11206
11207
11208
11209
11210
11211
11212
11213
11214
11215
11216
11217
11218
11219
11220
11221
11222
11223
11224
11225
11226
11227
11228
11229
11230
11231
11232
11233
11234
11235
11236
11237
11238
11239
11240
11241
11242
11243
11244
11245
11246
11247
11248
11249
11250
11251
11252
11253
11254
11255
11256
11257
11258
11259
11260
11261
11262
11263
11264
11265
11266
11267
11268
11269
11270
11271
11272
11273
11274
11275
11276
11277
11278
11279
11280
11281
11282
11283
11284
11285
11286
11287
11288
11289
11290
11291
11292
11293
11294
11295
11296
11297
11298
11299
11300
11301
11302
11303
11304
11305
11306
11307
11308
11309
11310
11311
11312
11313
11314
11315
11316
11317
11318
11319
11320
11321
11322
11323
11324
11325
11326
11327
11328
11329
11330
11331
11332
11333
11334
11335
11336
11337
11338
11339
11340
11341
11342
11343
11344
11345
11346
11347
11348
11349
11350
11351
11352
11353
11354
11355
11356
11357
11358
11359
11360
11361
11362
11363
11364
11365
11366
11367
11368
11369
11370
11371
11372
11373
11374
11375
11376
11377
11378
11379
11380
11381
11382
11383
11384
11385
11386
11387
11388
11389
11390
11391
11392
11393
11394
11395
11396
11397
11398
11399
11400
11401
11402
11403
11404
11405
11406
11407
11408
11409
11410
11411
11412
11413
11414
11415
11416
11417
11418
11419
11420
11421
11422
11423
11424
11425
11426
11427
11428
11429
11430
11431
11432
11433
11434
11435
11436
11437
11438
11439
11440
11441
11442
11443
11444
11445
11446
11447
11448
11449
11450
11451
11452
11453
11454
11455
11456
11457
11458
11459
11460
11461
11462
11463
11464
11465
11466
11467
11468
11469
11470
11471
11472
11473
11474
11475
11476
11477
11478
11479
11480
11481
11482
11483
11484
11485
11486
11487
11488
11489
11490
11491
11492
11493
11494
11495
11496
11497
11498
11499
11500
11501
11502
11503
11504
11505
11506
11507
11508
11509
11510
11511
11512
11513
11514
11515
11516
11517
11518
11519
11520
11521
11522
11523
11524
11525
11526
11527
11528
11529
11530
11531
11532
11533
11534
11535
11536
11537
11538
11539
11540
11541
11542
11543
11544
11545
11546
11547
11548
11549
11550
11551
11552
11553
11554
11555
11556
11557
11558
11559
11560
11561
11562
11563
11564
11565
11566
11567
11568
11569
11570
11571
11572
11573
11574
11575
11576
11577
11578
11579
11580
11581
11582
11583
11584
11585
11586
11587
11588
11589
11590
11591
11592
11593
11594
11595
11596
11597
11598
11599
11600
11601
11602
11603
11604
11605
11606
11607
11608
11609
11610
11611
11612
11613
11614
11615
11616
11617
11618
11619
11620
11621
11622
11623
11624
11625
11626
11627
11628
11629
11630
11631
11632
11633
11634
11635
11636
11637
11638
11639
11640
11641
11642
11643
11644
11645
11646
11647
11648
11649
11650
11651
11652
11653
11654
11655
11656
11657
11658
11659
11660
11661
11662
11663
11664
11665
11666
11667
11668
11669
11670
11671
11672
11673
11674
11675
11676
11677
11678
11679
11680
11681
11682
11683
11684
11685
11686
11687
11688
11689
11690
11691
11692
11693
11694
11695
11696
11697
11698
11699
11700
11701
11702
11703
11704
11705
11706
11707
11708
11709
11710
11711
11712
11713
11714
11715
11716
11717
11718
11719
11720
11721
11722
11723
11724
11725
11726
11727
11728
11729
11730
11731
11732
11733
11734
11735
11736
11737
11738
11739
11740
11741
11742
11743
11744
11745
11746
11747
11748
11749
11750
11751
11752
11753
11754
11755
11756
11757
11758
11759
11760
11761
11762
11763
11764
11765
11766
11767
11768
11769
11770
11771
11772
11773
11774
11775
11776
11777
11778
11779
11780
11781
11782
11783
11784
11785
11786
11787
11788
11789
11790
11791
11792
11793
11794
11795
11796
11797
11798
11799
11800
11801
11802
11803
11804
11805
11806
11807
11808
11809
11810
11811
11812
11813
11814
11815
11816
11817
11818
11819
11820
11821
11822
11823
11824
11825
11826
11827
11828
11829
11830
11831
11832
11833
11834
11835
11836
11837
11838
11839
11840
11841
11842
11843
11844
11845
11846
11847
11848
11849
11850
11851
11852
11853
11854
11855
11856
11857
11858
11859
11860
11861
11862
11863
11864
11865
11866
11867
11868
11869
11870
11871
11872
11873
11874
11875
11876
11877
11878
11879
11880
11881
11882
11883
11884
11885
11886
11887
11888
11889
11890
11891
11892
11893
11894
11895
11896
11897
11898
11899
11900
11901
11902
11903
11904
11905
11906
11907
11908
11909
11910
11911
11912
11913
11914
11915
11916
11917
11918
11919
11920
11921
11922
11923
11924
11925
11926
11927
11928
11929
11930
11931
11932
11933
11934
11935
11936
11937
11938
11939
11940
11941
11942
11943
11944
11945
11946
11947
11948
11949
11950
11951
11952
11953
11954
11955
11956
11957
11958
11959
11960
11961
11962
11963
11964
11965
11966
11967
11968
11969
11970
11971
11972
11973
11974
11975
11976
11977
11978
11979
11980
11981
11982
11983
11984
11985
11986
11987
11988
11989
11990
11991
11992
11993
11994
11995
11996
11997
11998
11999
12000
12001
12002
12003
12004
12005
12006
12007
12008
12009
12010
12011
12012
12013
12014
12015
12016
12017
12018
12019
12020
12021
12022
12023
12024
12025
12026
12027
12028
12029
12030
12031
12032
12033
12034
12035
12036
12037
12038
12039
12040
12041
12042
12043
12044
12045
12046
12047
12048
12049
12050
12051
12052
12053
12054
12055
12056
12057
12058
12059
12060
12061
12062
12063
12064
12065
12066
12067
12068
12069
12070
12071
12072
12073
12074
12075
12076
12077
12078
12079
12080
12081
12082
12083
12084
12085
12086
12087
12088
12089
12090
12091
12092
12093
12094
12095
12096
12097
12098
12099
12100
12101
12102
12103
12104
12105
12106
12107
12108
12109
12110
12111
12112
12113
12114
12115
12116
12117
12118
12119
12120
12121
12122
12123
12124
12125
12126
12127
12128
12129
12130
12131
12132
12133
12134
12135
12136
12137
12138
12139
12140
12141
12142
12143
12144
12145
12146
12147
12148
12149
12150
12151
12152
12153
12154
12155
12156
12157
12158
12159
12160
12161
12162
12163
12164
12165
12166
12167
12168
12169
12170
12171
12172
12173
12174
12175
12176
12177
12178
12179
12180
12181
12182
12183
12184
12185
12186
12187
12188
12189
12190
12191
12192
12193
12194
12195
12196
12197
12198
12199
12200
12201
12202
12203
12204
12205
12206
12207
12208
12209
12210
12211
12212
12213
12214
12215
12216
12217
12218
12219
12220
12221
12222
12223
12224
12225
12226
12227
12228
12229
12230
12231
12232
12233
12234
12235
12236
12237
12238
12239
12240
12241
12242
12243
12244
12245
12246
12247
12248
12249
12250
12251
12252
12253
12254
12255
12256
12257
12258
12259
12260
12261
12262
12263
12264
12265
12266
12267
12268
12269
12270
12271
12272
12273
12274
12275
12276
12277
12278
12279
12280
12281
12282
12283
12284
12285
12286
12287
12288
12289
12290
12291
12292
12293
12294
12295
12296
12297
12298
12299
12300
12301
12302
12303
12304
12305
12306
12307
12308
12309
12310
12311
12312
12313
12314
12315
12316
12317
12318
12319
12320
12321
12322
12323
12324
12325
12326
12327
12328
12329
12330
12331
12332
12333
12334
12335
12336
12337
12338
12339
12340
12341
12342
12343
12344
12345
12346
12347
12348
12349
12350
12351
12352
12353
12354
12355
12356
12357
12358
12359
12360
12361
12362
12363
12364
12365
12366
12367
12368
12369
12370
12371
12372
12373
12374
12375
12376
12377
12378
12379
12380
12381
12382
12383
12384
12385
12386
12387
12388
12389
12390
12391
12392
12393
12394
12395
12396
12397
12398
12399
12400
12401
12402
12403
12404
12405
12406
12407
12408
12409
12410
12411
12412
12413
12414
12415
12416
12417
12418
12419
12420
12421
12422
12423
12424
12425
12426
12427
12428
12429
12430
12431
12432
12433
12434
12435
12436
12437
12438
12439
12440
12441
12442
12443
12444
12445
12446
12447
12448
12449
12450
12451
12452
12453
12454
12455
12456
12457
12458
12459
12460
12461
12462
12463
12464
12465
12466
12467
12468
12469
12470
12471
12472
12473
12474
12475
12476
12477
12478
12479
12480
12481
12482
12483
12484
12485
12486
12487
12488
12489
12490
12491
12492
12493
12494
12495
12496
12497
12498
12499
12500
12501
12502
12503
12504
12505
12506
12507
12508
12509
12510
12511
12512
12513
12514
12515
12516
12517
12518
12519
12520
12521
12522
12523
12524
12525
12526
12527
12528
12529
12530
12531
12532
12533
12534
12535
12536
12537
12538
12539
12540
12541
12542
12543
12544
12545
12546
12547
12548
12549
12550
12551
12552
12553
12554
12555
12556
12557
12558
12559
12560
12561
12562
12563
12564
12565
12566
12567
12568
12569
12570
12571
12572
12573
12574
12575
12576
12577
12578
12579
12580
12581
12582
12583
12584
12585
12586
12587
12588
12589
12590
12591
12592
12593
12594
12595
12596
12597
12598
12599
12600
12601
12602
12603
12604
12605
12606
12607
12608
12609
12610
12611
12612
12613
12614
12615
12616
12617
12618
12619
12620
12621
12622
12623
12624
12625
12626
12627
12628
12629
12630
12631
12632
12633
12634
12635
12636
12637
12638
12639
12640
12641
12642
12643
12644
12645
12646
12647
12648
12649
12650
12651
12652
12653
12654
12655
12656
12657
12658
12659
12660
12661
12662
12663
12664
12665
12666
12667
12668
12669
12670
12671
12672
12673
12674
12675
12676
12677
12678
12679
12680
12681
12682
12683
12684
12685
12686
12687
12688
12689
12690
12691
12692
12693
12694
12695
12696
12697
12698
12699
12700
12701
12702
12703
12704
12705
12706
12707
12708
12709
12710
12711
12712
12713
12714
12715
12716
12717
12718
12719
12720
12721
12722
12723
12724
12725
12726
12727
12728
12729
12730
12731
12732
12733
12734
12735
12736
12737
12738
12739
12740
12741
12742
12743
12744
12745
12746
12747
12748
12749
12750
12751
12752
12753
12754
12755
12756
12757
12758
12759
12760
12761
12762
12763
12764
12765
12766
12767
12768
12769
12770
12771
12772
12773
12774
12775
12776
12777
12778
12779
12780
12781
12782
12783
12784
12785
12786
12787
12788
12789
12790
12791
12792
12793
12794
12795
12796
12797
12798
12799
12800
12801
12802
12803
12804
12805
12806
12807
12808
12809
12810
12811
12812
12813
12814
12815
12816
12817
12818
12819
12820
12821
12822
12823
12824
12825
12826
12827
12828
12829
12830
12831
12832
12833
12834
12835
12836
12837
12838
12839
12840
12841
12842
12843
12844
12845
12846
12847
12848
12849
12850
12851
12852
12853
12854
12855
12856
12857
12858
12859
12860
12861
12862
12863
12864
12865
12866
12867
12868
12869
12870
12871
12872
12873
12874
12875
12876
12877
12878
12879
12880
12881
12882
12883
12884
12885
12886
12887
12888
12889
12890
12891
12892
12893
12894
12895
12896
12897
12898
12899
12900
12901
12902
12903
12904
12905
12906
12907
12908
12909
12910
12911
12912
12913
12914
12915
12916
12917
12918
12919
12920
12921
12922
12923
12924
12925
12926
12927
12928
12929
12930
12931
12932
12933
12934
12935
12936
12937
12938
12939
12940
12941
12942
12943
12944
12945
12946
12947
12948
12949
12950
12951
12952
12953
12954
12955
12956
12957
12958
12959
12960
12961
12962
12963
12964
12965
12966
12967
12968
12969
12970
12971
12972
12973
12974
12975
12976
12977
12978
12979
12980
12981
12982
12983
12984
12985
12986
12987
12988
12989
12990
12991
12992
12993
12994
12995
12996
12997
12998
12999
13000
13001
13002
13003
13004
13005
13006
13007
13008
13009
13010
13011
13012
13013
13014
13015
13016
13017
13018
13019
13020
13021
13022
13023
13024
13025
13026
13027
13028
13029
13030
13031
13032
13033
13034
13035
13036
13037
13038
13039
13040
13041
13042
13043
13044
13045
13046
13047
13048
13049
13050
13051
13052
13053
13054
13055
13056
13057
13058
13059
13060
13061
13062
13063
13064
13065
13066
13067
13068
13069
13070
13071
13072
13073
13074
13075
13076
13077
13078
13079
13080
13081
13082
13083
13084
13085
13086
13087
13088
13089
13090
13091
13092
13093
13094
13095
13096
13097
13098
13099
13100
13101
13102
13103
13104
13105
13106
13107
13108
13109
13110
13111
13112
13113
13114
13115
13116
13117
13118
13119
13120
13121
13122
13123
13124
13125
13126
13127
13128
13129
13130
13131
13132
13133
13134
13135
13136
13137
13138
13139
13140
13141
13142
13143
13144
13145
13146
13147
13148
13149
13150
13151
13152
13153
13154
13155
13156
13157
13158
13159
13160
13161
13162
13163
13164
13165
13166
13167
13168
13169
13170
13171
13172
13173
13174
13175
13176
13177
13178
13179
13180
13181
13182
13183
13184
13185
13186
13187
13188
13189
13190
13191
13192
13193
13194
13195
13196
13197
13198
13199
13200
13201
13202
13203
13204
13205
13206
13207
13208
13209
13210
13211
13212
13213
13214
13215
13216
13217
13218
13219
13220
13221
13222
13223
13224
13225
13226
13227
13228
13229
13230
13231
13232
13233
13234
13235
13236
13237
13238
13239
13240
13241
13242
13243
13244
13245
13246
13247
13248
13249
13250
13251
13252
13253
13254
13255
13256
13257
13258
13259
13260
13261
13262
13263
13264
13265
13266
13267
13268
13269
13270
13271
13272
13273
13274
13275
13276
13277
13278
13279
13280
13281
13282
13283
13284
13285
13286
13287
13288
13289
13290
13291
13292
13293
13294
13295
13296
13297
13298
13299
13300
13301
13302
13303
13304
13305
13306
13307
13308
13309
13310
13311
13312
13313
13314
13315
13316
13317
13318
13319
13320
13321
13322
13323
13324
13325
13326
13327
13328
13329
13330
13331
13332
13333
13334
13335
13336
13337
13338
13339
13340
13341
13342
13343
13344
13345
13346
13347
13348
13349
13350
13351
13352
13353
13354
13355
13356
13357
13358
13359
13360
13361
13362
13363
13364
13365
13366
13367
13368
13369
13370
13371
13372
13373
13374
13375
13376
13377
13378
13379
13380
13381
13382
13383
13384
13385
13386
13387
13388
13389
13390
13391
13392
13393
13394
13395
13396
13397
13398
13399
13400
13401
13402
13403
13404
13405
13406
13407
13408
13409
13410
13411
13412
13413
13414
13415
13416
13417
13418
13419
13420
13421
13422
13423
13424
13425
13426
13427
13428
13429
13430
13431
13432
13433
13434
13435
13436
13437
13438
13439
13440
13441
13442
13443
13444
13445
13446
13447
13448
13449
13450
13451
13452
13453
13454
13455
13456
13457
13458
13459
13460
13461
13462
13463
13464
13465
13466
13467
13468
13469
13470
13471
13472
13473
13474
13475
13476
13477
13478
13479
13480
13481
13482
13483
13484
13485
13486
13487
13488
13489
13490
13491
13492
13493
13494
13495
13496
13497
13498
13499
13500
13501
13502
13503
13504
13505
13506
13507
13508
13509
13510
13511
13512
13513
13514
13515
13516
13517
13518
13519
13520
13521
13522
13523
13524
13525
13526
13527
13528
13529
13530
13531
13532
13533
13534
13535
13536
13537
13538
13539
13540
13541
13542
13543
13544
13545
13546
13547
13548
13549
13550
13551
13552
13553
13554
13555
13556
13557
13558
13559
13560
13561
13562
13563
13564
13565
13566
13567
13568
13569
13570
13571
13572
13573
13574
13575
13576
13577
13578
13579
13580
13581
13582
13583
13584
13585
13586
13587
13588
13589
13590
13591
13592
13593
13594
13595
13596
13597
13598
13599
13600
13601
13602
13603
13604
13605
13606
13607
13608
13609
13610
13611
13612
13613
13614
13615
13616
13617
13618
13619
13620
13621
13622
13623
13624
13625
13626
13627
13628
13629
13630
13631
13632
13633
13634
13635
13636
13637
13638
13639
13640
13641
13642
13643
13644
13645
13646
13647
13648
13649
13650
13651
13652
13653
13654
13655
13656
13657
13658
13659
13660
13661
13662
13663
13664
13665
13666
13667
13668
13669
13670
13671
13672
13673
13674
13675
13676
13677
13678
13679
13680
13681
13682
13683
13684
13685
13686
13687
13688
13689
13690
13691
13692
13693
13694
13695
13696
13697
13698
13699
13700
13701
13702
13703
13704
13705
13706
13707
13708
13709
13710
13711
13712
13713
13714
13715
13716
13717
13718
13719
13720
13721
13722
13723
13724
13725
13726
13727
13728
13729
13730
13731
13732
13733
13734
13735
13736
13737
13738
13739
13740
13741
13742
13743
13744
13745
13746
13747
13748
13749
13750
13751
13752
13753
13754
13755
13756
13757
13758
13759
13760
13761
13762
13763
13764
13765
13766
13767
13768
13769
13770
13771
13772
13773
13774
13775
13776
13777
13778
13779
13780
13781
13782
13783
13784
13785
13786
13787
13788
13789
13790
13791
13792
13793
13794
13795
13796
13797
13798
13799
13800
13801
13802
13803
13804
13805
13806
13807
13808
13809
13810
13811
13812
13813
13814
13815
13816
13817
13818
13819
13820
13821
13822
13823
13824
13825
13826
13827
13828
13829
13830
13831
13832
13833
13834
13835
13836
13837
13838
13839
13840
13841
13842
13843
13844
13845
13846
13847
13848
13849
13850
13851
13852
13853
13854
13855
13856
13857
13858
13859
13860
13861
13862
13863
13864
13865
13866
13867
13868
13869
13870
13871
13872
13873
13874
13875
13876
13877
13878
13879
13880
13881
13882
13883
13884
13885
13886
13887
13888
13889
13890
13891
13892
13893
13894
13895
13896
13897
13898
13899
13900
13901
13902
13903
13904
13905
13906
13907
13908
13909
13910
13911
13912
13913
13914
13915
13916
13917
13918
13919
13920
13921
13922
13923
13924
13925
13926
13927
13928
13929
13930
13931
13932
13933
13934
13935
13936
13937
13938
13939
13940
13941
13942
13943
13944
13945
13946
13947
13948
13949
13950
13951
13952
13953
13954
13955
13956
13957
13958
13959
13960
13961
13962
13963
13964
13965
13966
13967
13968
13969
13970
13971
13972
13973
13974
13975
13976
13977
13978
13979
13980
13981
13982
13983
13984
13985
13986
13987
13988
13989
13990
13991
13992
13993
13994
13995
13996
13997
13998
13999
14000
14001
14002
14003
14004
14005
14006
14007
14008
14009
14010
14011
14012
14013
14014
14015
14016
14017
14018
14019
14020
14021
14022
14023
14024
14025
14026
14027
14028
14029
14030
14031
14032
14033
14034
14035
14036
14037
14038
14039
14040
14041
14042
14043
14044
14045
14046
14047
14048
14049
14050
14051
14052
14053
14054
14055
14056
14057
14058
14059
14060
14061
14062
14063
14064
14065
14066
14067
14068
14069
14070
14071
14072
14073
14074
14075
14076
14077
14078
14079
14080
14081
14082
14083
14084
14085
14086
14087
14088
14089
14090
14091
14092
14093
14094
14095
14096
14097
14098
14099
14100
14101
14102
14103
14104
14105
14106
14107
14108
14109
14110
14111
14112
14113
14114
14115
14116
14117
14118
14119
14120
14121
14122
14123
14124
14125
14126
14127
14128
14129
14130
14131
14132
14133
14134
14135
14136
14137
14138
14139
14140
14141
14142
14143
14144
14145
14146
14147
14148
14149
14150
14151
14152
14153
14154
14155
14156
14157
14158
14159
14160
14161
14162
14163
14164
14165
14166
14167
14168
14169
14170
14171
14172
14173
14174
14175
14176
14177
14178
14179
14180
14181
14182
14183
14184
14185
14186
14187
14188
14189
14190
14191
14192
14193
14194
14195
14196
14197
14198
14199
14200
14201
14202
14203
14204
14205
14206
14207
14208
14209
14210
14211
14212
14213
14214
14215
14216
14217
14218
14219
14220
14221
14222
14223
14224
14225
14226
14227
14228
14229
14230
14231
14232
14233
14234
14235
14236
14237
14238
14239
14240
14241
14242
14243
14244
14245
14246
14247
14248
14249
14250
14251
14252
14253
14254
14255
14256
14257
14258
14259
14260
14261
14262
14263
14264
14265
14266
14267
14268
14269
14270
14271
14272
14273
14274
14275
14276
14277
14278
14279
14280
14281
14282
14283
14284
14285
14286
14287
14288
14289
14290
14291
14292
14293
14294
14295
14296
14297
14298
14299
14300
14301
14302
14303
14304
14305
14306
14307
14308
14309
14310
14311
14312
14313
14314
14315
14316
14317
14318
14319
14320
14321
14322
14323
14324
14325
14326
14327
14328
14329
14330
14331
14332
14333
14334
14335
14336
14337
14338
14339
14340
14341
14342
14343
14344
14345
14346
14347
14348
14349
14350
14351
14352
14353
14354
14355
14356
14357
14358
14359
14360
14361
14362
14363
14364
14365
14366
14367
14368
14369
14370
14371
14372
14373
14374
14375
14376
14377
14378
14379
14380
14381
14382
14383
14384
14385
14386
14387
14388
14389
14390
14391
14392
14393
14394
14395
14396
14397
14398
14399
14400
14401
14402
14403
14404
14405
14406
14407
14408
14409
14410
14411
14412
14413
14414
14415
14416
14417
14418
14419
14420
14421
14422
14423
14424
14425
14426
14427
14428
14429
14430
14431
14432
14433
14434
14435
14436
14437
14438
14439
14440
14441
14442
14443
14444
14445
14446
14447
14448
14449
14450
14451
14452
14453
14454
14455
14456
14457
14458
14459
14460
14461
14462
14463
14464
14465
14466
14467
14468
14469
14470
14471
14472
14473
14474
14475
14476
14477
14478
14479
14480
14481
14482
14483
14484
14485
14486
14487
14488
14489
14490
14491
14492
14493
14494
14495
14496
14497
14498
14499
14500
14501
14502
14503
14504
14505
14506
14507
14508
14509
14510
14511
14512
14513
14514
14515
14516
14517
14518
14519
14520
14521
14522
14523
14524
14525
14526
14527
14528
14529
14530
14531
14532
14533
14534
14535
14536
14537
14538
14539
14540
14541
14542
14543
14544
14545
14546
14547
14548
14549
14550
14551
14552
14553
14554
14555
14556
14557
14558
14559
14560
14561
14562
14563
14564
14565
14566
14567
14568
14569
14570
14571
14572
14573
14574
14575
14576
14577
14578
14579
14580
14581
14582
14583
14584
14585
14586
14587
14588
14589
14590
14591
14592
14593
14594
14595
14596
14597
14598
14599
14600
14601
14602
14603
14604
14605
14606
14607
14608
14609
14610
14611
14612
14613
14614
14615
14616
14617
14618
14619
14620
14621
14622
14623
14624
14625
14626
14627
14628
14629
14630
14631
14632
14633
14634
14635
14636
14637
14638
14639
14640
14641
14642
14643
14644
14645
14646
14647
14648
14649
14650
14651
14652
14653
14654
14655
14656
14657
14658
14659
14660
14661
14662
14663
14664
14665
14666
14667
14668
14669
14670
14671
14672
14673
14674
14675
14676
14677
14678
14679
14680
14681
14682
14683
14684
14685
14686
14687
14688
14689
14690
14691
14692
14693
14694
14695
14696
14697
14698
14699
14700
14701
14702
14703
14704
14705
14706
14707
14708
14709
14710
14711
14712
14713
14714
14715
14716
14717
14718
14719
14720
14721
14722
14723
14724
14725
14726
14727
14728
14729
14730
14731
14732
14733
14734
14735
14736
14737
14738
14739
14740
14741
14742
14743
14744
14745
14746
14747
14748
14749
14750
14751
14752
14753
14754
14755
14756
14757
14758
14759
14760
14761
14762
14763
14764
14765
14766
14767
14768
14769
14770
14771
14772
14773
14774
14775
14776
14777
14778
14779
14780
14781
14782
14783
14784
14785
14786
14787
14788
14789
14790
14791
14792
14793
14794
14795
14796
14797
14798
14799
14800
14801
14802
14803
14804
14805
14806
14807
14808
14809
14810
14811
14812
14813
14814
14815
14816
14817
14818
14819
14820
14821
14822
14823
14824
14825
14826
14827
14828
14829
14830
14831
14832
14833
14834
14835
14836
14837
14838
14839
14840
14841
14842
14843
14844
14845
14846
14847
14848
14849
14850
14851
14852
14853
14854
14855
14856
14857
14858
14859
14860
14861
14862
14863
14864
14865
14866
14867
14868
14869
14870
14871
14872
14873
14874
14875
14876
14877
14878
14879
14880
14881
14882
14883
14884
14885
14886
14887
14888
14889
14890
14891
14892
14893
14894
14895
14896
14897
14898
14899
14900
14901
14902
14903
14904
14905
14906
14907
14908
14909
14910
14911
14912
14913
14914
14915
14916
14917
14918
14919
14920
14921
14922
14923
14924
14925
14926
14927
14928
14929
14930
14931
14932
14933
14934
14935
14936
14937
14938
14939
14940
14941
14942
14943
14944
14945
14946
14947
14948
14949
14950
14951
14952
14953
14954
14955
14956
14957
14958
14959
14960
14961
14962
14963
14964
14965
14966
14967
14968
14969
14970
14971
14972
14973
14974
14975
14976
14977
14978
14979
14980
14981
14982
14983
14984
14985
14986
14987
14988
14989
14990
14991
14992
14993
14994
14995
14996
14997
14998
14999
15000
15001
15002
15003
15004
15005
15006
15007
15008
15009
15010
15011
15012
15013
15014
15015
15016
15017
15018
15019
15020
15021
15022
15023
15024
15025
15026
15027
15028
15029
15030
15031
15032
15033
15034
15035
15036
15037
15038
15039
15040
15041
15042
15043
15044
15045
15046
15047
15048
15049
15050
15051
15052
15053
15054
15055
15056
15057
15058
15059
15060
15061
15062
15063
15064
15065
15066
15067
15068
15069
15070
15071
15072
15073
15074
15075
15076
15077
15078
15079
15080
15081
15082
15083
15084
15085
15086
15087
15088
15089
15090
15091
15092
15093
15094
15095
15096
15097
15098
15099
15100
15101
15102
15103
15104
15105
15106
15107
15108
15109
15110
15111
15112
15113
15114
15115
15116
15117
15118
15119
15120
15121
15122
15123
15124
15125
15126
15127
15128
15129
15130
15131
15132
15133
15134
15135
15136
15137
15138
15139
15140
15141
15142
15143
15144
15145
15146
15147
15148
15149
15150
15151
15152
15153
15154
15155
15156
15157
15158
15159
15160
15161
15162
15163
15164
15165
15166
15167
15168
15169
15170
15171
15172
15173
15174
15175
15176
15177
15178
15179
15180
15181
15182
15183
15184
15185
15186
15187
15188
15189
15190
15191
15192
15193
15194
15195
15196
15197
15198
15199
15200
15201
15202
15203
15204
15205
15206
15207
15208
15209
15210
15211
15212
15213
15214
15215
15216
15217
15218
15219
15220
15221
15222
15223
15224
15225
15226
15227
15228
15229
15230
15231
15232
15233
15234
15235
15236
15237
15238
15239
15240
15241
15242
15243
15244
15245
15246
15247
15248
15249
15250
15251
15252
15253
15254
15255
15256
15257
15258
15259
15260
15261
15262
15263
15264
15265
15266
15267
15268
15269
15270
15271
15272
15273
15274
15275
15276
15277
15278
15279
15280
15281
15282
15283
15284
15285
15286
15287
15288
15289
15290
15291
15292
15293
15294
15295
15296
15297
15298
15299
15300
15301
15302
15303
15304
15305
15306
15307
15308
15309
15310
15311
15312
15313
15314
15315
15316
15317
15318
15319
15320
15321
15322
15323
15324
15325
15326
15327
15328
15329
15330
15331
15332
15333
15334
15335
15336
15337
15338
15339
15340
15341
15342
15343
15344
15345
15346
15347
15348
15349
15350
15351
15352
15353
15354
15355
15356
15357
15358
15359
15360
15361
15362
15363
15364
15365
15366
15367
15368
15369
15370
15371
15372
15373
15374
15375
15376
15377
15378
15379
15380
15381
15382
15383
15384
15385
15386
15387
15388
15389
15390
15391
15392
15393
15394
15395
15396
15397
15398
15399
15400
15401
15402
15403
15404
15405
15406
15407
15408
15409
15410
15411
15412
15413
15414
15415
15416
15417
15418
15419
15420
15421
15422
15423
15424
15425
15426
15427
15428
15429
15430
15431
15432
15433
15434
15435
15436
15437
15438
15439
15440
15441
15442
15443
15444
15445
15446
15447
15448
15449
15450
15451
15452
15453
15454
15455
15456
15457
15458
15459
15460
15461
15462
15463
15464
15465
15466
15467
15468
15469
15470
15471
15472
15473
15474
15475
15476
15477
15478
15479
15480
15481
15482
15483
15484
15485
15486
15487
15488
15489
15490
15491
15492
15493
15494
15495
15496
15497
15498
15499
15500
15501
15502
15503
15504
15505
15506
15507
15508
15509
15510
15511
15512
15513
15514
15515
15516
15517
15518
15519
15520
15521
15522
15523
15524
15525
15526
15527
15528
15529
15530
15531
15532
15533
15534
15535
15536
15537
15538
15539
15540
15541
15542
15543
15544
15545
15546
15547
15548
15549
15550
15551
15552
15553
15554
15555
15556
15557
15558
15559
15560
15561
15562
15563
15564
15565
15566
15567
15568
15569
15570
15571
15572
15573
15574
15575
15576
15577
15578
15579
15580
15581
15582
15583
15584
15585
15586
15587
15588
15589
15590
15591
15592
15593
15594
15595
15596
15597
15598
15599
15600
15601
15602
15603
15604
15605
15606
15607
15608
15609
15610
15611
15612
15613
15614
15615
15616
15617
15618
15619
15620
15621
15622
15623
15624
15625
15626
15627
15628
15629
15630
15631
15632
15633
15634
15635
15636
15637
15638
15639
15640
15641
15642
15643
15644
15645
15646
15647
15648
15649
15650
15651
15652
15653
15654
15655
15656
15657
15658
15659
15660
15661
15662
15663
15664
15665
15666
15667
15668
15669
15670
15671
15672
15673
15674
15675
15676
15677
15678
15679
15680
15681
15682
15683
15684
15685
15686
15687
15688
15689
15690
15691
15692
15693
15694
15695
15696
15697
15698
15699
15700
15701
15702
15703
15704
15705
15706
15707
15708
15709
15710
15711
15712
15713
15714
15715
15716
15717
15718
15719
15720
15721
15722
15723
15724
15725
15726
15727
15728
15729
15730
15731
15732
15733
15734
15735
15736
15737
15738
15739
15740
15741
15742
15743
15744
15745
15746
15747
15748
15749
15750
15751
15752
15753
15754
15755
15756
15757
15758
15759
15760
15761
15762
15763
15764
15765
15766
15767
15768
15769
15770
15771
15772
15773
15774
15775
15776
15777
15778
15779
15780
15781
15782
15783
15784
15785
15786
15787
15788
15789
15790
15791
15792
15793
15794
15795
15796
15797
15798
15799
15800
15801
15802
15803
15804
15805
15806
15807
15808
15809
15810
15811
15812
15813
15814
15815
15816
15817
15818
15819
15820
15821
15822
15823
15824
15825
15826
15827
15828
15829
15830
15831
15832
15833
15834
15835
15836
15837
15838
15839
15840
15841
15842
15843
15844
15845
15846
15847
15848
15849
15850
15851
15852
15853
15854
15855
15856
15857
15858
15859
15860
15861
15862
15863
15864
15865
15866
15867
15868
15869
15870
15871
15872
15873
15874
15875
15876
15877
15878
15879
15880
15881
15882
15883
15884
15885
15886
15887
15888
15889
15890
15891
15892
15893
15894
15895
15896
15897
15898
15899
15900
15901
15902
15903
15904
15905
15906
15907
15908
15909
15910
15911
15912
15913
15914
15915
15916
15917
15918
15919
15920
15921
15922
15923
15924
15925
15926
15927
15928
15929
15930
15931
15932
15933
15934
15935
15936
15937
15938
15939
15940
15941
15942
15943
15944
15945
15946
15947
15948
15949
15950
15951
15952
15953
15954
15955
15956
15957
15958
15959
15960
15961
15962
15963
15964
15965
15966
15967
15968
15969
15970
15971
15972
15973
15974
15975
15976
15977
15978
15979
15980
15981
15982
15983
15984
15985
15986
15987
15988
15989
15990
15991
15992
15993
15994
15995
15996
15997
15998
15999
16000
16001
16002
16003
16004
16005
16006
16007
16008
16009
16010
16011
16012
16013
16014
16015
16016
16017
16018
16019
16020
16021
16022
16023
16024
16025
16026
16027
16028
16029
16030
16031
16032
16033
16034
16035
16036
16037
16038
16039
16040
16041
16042
16043
16044
16045
16046
16047
16048
16049
16050
16051
16052
16053
16054
16055
16056
16057
16058
16059
16060
16061
16062
16063
16064
16065
16066
16067
16068
16069
16070
16071
16072
16073
16074
16075
16076
16077
16078
16079
16080
16081
16082
16083
16084
16085
16086
16087
16088
16089
16090
16091
16092
16093
16094
16095
16096
16097
16098
16099
16100
16101
16102
16103
16104
16105
16106
16107
16108
16109
16110
16111
16112
16113
16114
16115
16116
16117
16118
16119
16120
16121
16122
16123
16124
16125
16126
16127
16128
16129
16130
16131
16132
16133
16134
16135
16136
16137
16138
16139
16140
16141
16142
16143
16144
16145
16146
16147
16148
16149
16150
16151
16152
16153
16154
16155
16156
16157
16158
16159
16160
16161
16162
16163
16164
16165
16166
16167
16168
16169
16170
16171
16172
16173
16174
16175
16176
16177
16178
16179
16180
16181
16182
16183
16184
16185
16186
16187
16188
16189
16190
16191
16192
16193
16194
16195
16196
16197
16198
16199
16200
16201
16202
16203
16204
16205
16206
16207
16208
16209
16210
16211
16212
16213
16214
16215
16216
16217
16218
16219
16220
16221
16222
16223
16224
16225
16226
16227
16228
16229
16230
16231
16232
16233
16234
16235
16236
16237
16238
16239
16240
16241
16242
16243
16244
16245
16246
16247
16248
16249
16250
16251
16252
16253
16254
16255
16256
16257
16258
16259
16260
16261
16262
16263
16264
16265
16266
16267
16268
16269
16270
16271
16272
16273
16274
16275
16276
16277
16278
16279
16280
16281
16282
16283
16284
16285
16286
16287
16288
16289
16290
16291
16292
16293
16294
16295
16296
16297
16298
16299
16300
16301
16302
16303
16304
16305
16306
16307
16308
16309
16310
16311
16312
16313
16314
16315
16316
16317
16318
16319
16320
16321
16322
16323
16324
16325
16326
16327
16328
16329
16330
16331
16332
16333
16334
16335
16336
16337
16338
16339
16340
16341
16342
16343
16344
16345
16346
16347
16348
16349
16350
16351
16352
16353
16354
16355
16356
16357
16358
16359
16360
16361
16362
16363
16364
16365
16366
16367
16368
16369
16370
16371
16372
16373
16374
16375
16376
16377
16378
16379
16380
16381
16382
16383
16384
16385
16386
16387
16388
16389
16390
16391
16392
16393
16394
16395
16396
16397
16398
16399
16400
16401
16402
16403
16404
16405
16406
16407
16408
16409
16410
16411
16412
16413
16414
16415
16416
16417
16418
16419
16420
16421
16422
16423
16424
16425
16426
16427
16428
16429
16430
16431
16432
16433
16434
16435
16436
16437
16438
16439
16440
16441
16442
16443
16444
16445
16446
16447
16448
16449
16450
16451
16452
16453
16454
16455
16456
16457
16458
16459
16460
16461
16462
16463
16464
16465
16466
16467
16468
16469
16470
16471
16472
16473
16474
16475
16476
16477
16478
16479
16480
16481
16482
16483
16484
16485
16486
16487
16488
16489
16490
16491
16492
16493
16494
16495
16496
16497
16498
16499
16500
16501
16502
16503
16504
16505
16506
16507
16508
16509
16510
16511
16512
16513
16514
16515
16516
16517
16518
16519
16520
16521
16522
16523
16524
16525
16526
16527
16528
16529
16530
16531
16532
16533
16534
16535
16536
16537
16538
16539
16540
16541
16542
16543
16544
16545
16546
16547
16548
16549
16550
16551
16552
16553
16554
16555
16556
16557
16558
16559
16560
16561
16562
16563
16564
16565
16566
16567
16568
16569
16570
16571
16572
16573
16574
16575
16576
16577
16578
16579
16580
16581
16582
16583
16584
16585
16586
16587
16588
16589
16590
16591
16592
16593
16594
16595
16596
16597
16598
16599
16600
16601
16602
16603
16604
16605
16606
16607
16608
16609
16610
16611
16612
16613
16614
16615
16616
16617
16618
16619
16620
16621
16622
16623
16624
16625
16626
16627
16628
16629
16630
16631
16632
16633
16634
16635
16636
16637
16638
16639
16640
16641
16642
16643
16644
16645
16646
16647
16648
16649
16650
16651
16652
16653
16654
16655
16656
16657
16658
16659
16660
16661
16662
16663
16664
16665
16666
16667
16668
16669
16670
16671
16672
16673
16674
16675
16676
16677
16678
16679
16680
16681
16682
16683
16684
16685
16686
16687
16688
16689
16690
16691
16692
16693
16694
16695
16696
16697
16698
16699
16700
16701
16702
16703
16704
16705
16706
16707
16708
16709
16710
16711
16712
16713
16714
16715
16716
16717
16718
16719
16720
16721
16722
16723
16724
16725
16726
16727
16728
16729
16730
16731
16732
16733
16734
16735
16736
16737
16738
16739
16740
16741
16742
16743
16744
16745
16746
16747
16748
16749
16750
16751
16752
16753
16754
16755
16756
16757
16758
16759
16760
16761
16762
16763
16764
16765
16766
16767
16768
16769
16770
16771
16772
16773
16774
16775
16776
16777
16778
16779
16780
16781
16782
16783
16784
16785
16786
16787
16788
16789
16790
16791
16792
16793
16794
16795
16796
16797
16798
16799
16800
16801
16802
16803
16804
16805
16806
16807
16808
16809
16810
16811
16812
16813
16814
16815
16816
16817
16818
16819
16820
16821
16822
16823
16824
16825
16826
16827
16828
16829
16830
16831
16832
16833
16834
16835
16836
16837
16838
16839
16840
16841
16842
16843
16844
16845
16846
16847
16848
16849
16850
16851
16852
16853
16854
16855
16856
16857
16858
16859
16860
16861
16862
16863
16864
16865
16866
16867
16868
16869
16870
16871
16872
16873
16874
16875
16876
16877
16878
16879
16880
16881
16882
16883
16884
16885
16886
16887
16888
16889
16890
16891
16892
16893
16894
16895
16896
16897
16898
16899
16900
16901
16902
16903
16904
16905
16906
16907
16908
16909
16910
16911
16912
16913
16914
16915
16916
16917
16918
16919
16920
16921
16922
16923
16924
16925
16926
16927
16928
16929
16930
16931
16932
16933
16934
16935
16936
16937
16938
16939
16940
16941
16942
16943
16944
16945
16946
16947
16948
16949
16950
16951
16952
16953
16954
16955
16956
16957
16958
16959
16960
16961
16962
16963
16964
16965
16966
16967
16968
16969
16970
16971
16972
16973
16974
16975
16976
16977
16978
16979
16980
16981
16982
16983
16984
16985
16986
16987
16988
16989
16990
16991
16992
16993
16994
16995
16996
16997
16998
16999
17000
17001
17002
17003
17004
17005
17006
17007
17008
17009
17010
17011
17012
17013
17014
17015
17016
17017
17018
17019
17020
17021
17022
17023
17024
17025
17026
17027
17028
17029
17030
17031
17032
17033
17034
17035
17036
17037
17038
17039
17040
17041
17042
17043
17044
17045
17046
17047
17048
17049
17050
17051
17052
17053
17054
17055
17056
17057
17058
17059
17060
17061
17062
17063
17064
17065
17066
17067
17068
17069
17070
17071
17072
17073
17074
17075
17076
17077
17078
17079
17080
17081
17082
17083
17084
17085
17086
17087
17088
17089
17090
17091
17092
17093
17094
17095
17096
17097
17098
17099
17100
17101
17102
17103
17104
17105
17106
17107
17108
17109
17110
17111
17112
17113
17114
17115
17116
17117
17118
17119
17120
17121
17122
17123
17124
17125
17126
17127
17128
17129
17130
17131
17132
17133
17134
17135
17136
17137
17138
17139
17140
17141
17142
17143
17144
17145
17146
17147
17148
17149
17150
17151
17152
17153
17154
17155
17156
17157
17158
17159
17160
17161
17162
17163
17164
17165
17166
17167
17168
17169
17170
17171
17172
17173
17174
17175
17176
17177
17178
17179
17180
17181
17182
17183
17184
17185
17186
17187
17188
17189
17190
17191
17192
17193
17194
17195
17196
17197
17198
17199
17200
17201
17202
17203
17204
17205
17206
17207
17208
17209
17210
17211
17212
17213
17214
17215
17216
17217
17218
17219
17220
17221
17222
17223
17224
17225
17226
17227
17228
17229
17230
17231
17232
17233
17234
17235
17236
17237
17238
17239
17240
17241
17242
17243
17244
17245
17246
17247
17248
17249
17250
17251
17252
17253
17254
17255
17256
17257
17258
17259
17260
17261
17262
17263
17264
17265
17266
17267
17268
17269
17270
17271
17272
17273
17274
17275
17276
17277
17278
17279
17280
17281
17282
17283
17284
17285
17286
17287
17288
17289
17290
17291
17292
17293
17294
17295
17296
17297
17298
17299
17300
17301
17302
17303
17304
17305
17306
17307
17308
17309
17310
17311
17312
17313
17314
17315
17316
17317
17318
17319
17320
17321
17322
17323
17324
17325
17326
17327
17328
17329
17330
17331
17332
17333
17334
17335
17336
17337
17338
17339
17340
17341
17342
17343
17344
17345
17346
17347
17348
17349
17350
17351
17352
17353
17354
17355
17356
17357
17358
17359
17360
17361
17362
17363
17364
17365
17366
17367
17368
17369
17370
17371
17372
17373
17374
17375
17376
17377
17378
17379
17380
17381
17382
17383
17384
17385
17386
17387
17388
17389
17390
17391
17392
17393
17394
17395
17396
17397
17398
17399
17400
17401
17402
17403
17404
17405
17406
17407
17408
17409
17410
17411
17412
17413
17414
17415
17416
17417
17418
17419
17420
17421
17422
17423
17424
17425
17426
17427
17428
17429
17430
17431
17432
17433
17434
17435
17436
17437
17438
17439
17440
17441
17442
17443
17444
17445
17446
17447
17448
17449
17450
17451
17452
17453
17454
17455
17456
17457
17458
17459
17460
17461
17462
17463
17464
17465
17466
17467
17468
17469
17470
17471
17472
17473
17474
17475
17476
17477
17478
17479
17480
17481
17482
17483
17484
17485
17486
17487
17488
17489
17490
17491
17492
17493
17494
17495
17496
17497
17498
17499
17500
17501
17502
17503
17504
17505
17506
17507
17508
17509
17510
17511
17512
17513
17514
17515
17516
17517
17518
17519
17520
17521
17522
17523
17524
17525
17526
17527
17528
17529
17530
17531
17532
17533
17534
17535
17536
17537
17538
17539
17540
17541
17542
17543
17544
17545
17546
17547
17548
17549
17550
17551
17552
17553
17554
17555
17556
17557
17558
17559
17560
17561
17562
17563
17564
17565
17566
17567
17568
17569
17570
17571
17572
17573
17574
17575
17576
17577
17578
17579
17580
17581
17582
17583
17584
17585
17586
17587
17588
17589
17590
17591
17592
17593
17594
17595
17596
17597
17598
17599
17600
17601
17602
17603
17604
17605
17606
17607
17608
17609
17610
17611
17612
17613
17614
17615
17616
17617
17618
17619
17620
17621
17622
17623
17624
17625
17626
17627
17628
17629
17630
17631
17632
17633
17634
17635
17636
17637
17638
17639
17640
17641
17642
17643
17644
17645
17646
17647
17648
17649
17650
17651
17652
17653
17654
17655
17656
17657
17658
17659
17660
17661
17662
17663
17664
17665
17666
17667
17668
17669
17670
17671
17672
17673
17674
17675
17676
17677
17678
17679
17680
17681
17682
17683
17684
17685
17686
17687
17688
17689
17690
17691
17692
17693
17694
17695
17696
17697
17698
17699
17700
17701
17702
17703
17704
17705
17706
17707
17708
17709
17710
17711
17712
17713
17714
17715
17716
17717
17718
17719
17720
17721
17722
17723
17724
17725
17726
17727
17728
17729
17730
17731
17732
17733
17734
17735
17736
17737
17738
17739
17740
17741
17742
17743
17744
17745
17746
17747
17748
17749
17750
17751
17752
17753
17754
17755
17756
17757
17758
17759
17760
17761
17762
17763
17764
17765
17766
17767
17768
17769
17770
17771
17772
17773
17774
17775
17776
17777
17778
17779
17780
17781
17782
17783
17784
17785
17786
17787
17788
17789
17790
17791
17792
17793
17794
17795
17796
17797
17798
17799
17800
17801
17802
17803
17804
17805
17806
17807
17808
17809
17810
17811
17812
17813
17814
17815
17816
17817
17818
17819
17820
17821
17822
17823
17824
17825
17826
17827
17828
17829
17830
17831
17832
17833
17834
17835
17836
17837
17838
17839
17840
17841
17842
17843
17844
17845
17846
17847
17848
17849
17850
17851
17852
17853
17854
17855
17856
17857
17858
17859
17860
17861
17862
17863
17864
17865
17866
17867
17868
17869
17870
17871
17872
17873
17874
17875
17876
17877
17878
17879
17880
17881
17882
17883
17884
17885
17886
17887
17888
17889
17890
17891
17892
17893
17894
17895
17896
17897
17898
17899
17900
17901
17902
17903
17904
17905
17906
17907
17908
17909
17910
17911
17912
17913
17914
17915
17916
17917
17918
17919
17920
17921
17922
17923
17924
17925
17926
17927
17928
17929
17930
17931
17932
17933
17934
17935
17936
17937
17938
17939
17940
17941
17942
17943
17944
17945
17946
17947
17948
17949
17950
17951
17952
17953
17954
17955
17956
17957
17958
17959
17960
17961
17962
17963
17964
17965
17966
17967
17968
17969
17970
17971
17972
17973
17974
17975
17976
17977
17978
17979
17980
17981
17982
17983
17984
17985
17986
17987
17988
17989
17990
17991
17992
17993
17994
17995
17996
17997
17998
17999
18000
18001
18002
18003
18004
18005
18006
18007
18008
18009
18010
18011
18012
18013
18014
18015
18016
18017
18018
18019
18020
18021
18022
18023
18024
18025
18026
18027
18028
18029
18030
18031
18032
18033
18034
18035
18036
18037
18038
18039
18040
18041
18042
18043
18044
18045
18046
18047
18048
18049
18050
18051
18052
18053
18054
18055
18056
18057
18058
18059
18060
18061
18062
18063
18064
18065
18066
18067
18068
18069
18070
18071
18072
18073
18074
18075
18076
18077
18078
18079
18080
18081
18082
18083
18084
18085
18086
18087
18088
18089
18090
18091
18092
18093
18094
18095
18096
18097
18098
18099
18100
18101
18102
18103
18104
18105
18106
18107
18108
18109
18110
18111
18112
18113
18114
18115
18116
18117
18118
18119
18120
18121
18122
18123
18124
18125
18126
18127
18128
18129
18130
18131
18132
18133
18134
18135
18136
18137
18138
18139
18140
18141
18142
18143
18144
18145
18146
18147
18148
18149
18150
18151
18152
18153
18154
18155
18156
18157
18158
18159
18160
18161
18162
18163
18164
18165
18166
18167
18168
18169
18170
18171
18172
18173
18174
18175
18176
18177
18178
18179
18180
18181
18182
18183
18184
18185
18186
18187
18188
18189
18190
18191
18192
18193
18194
18195
18196
18197
18198
18199
18200
18201
18202
18203
18204
18205
18206
18207
18208
18209
18210
18211
18212
18213
18214
18215
18216
18217
18218
18219
18220
18221
18222
18223
18224
18225
18226
18227
18228
18229
18230
18231
18232
18233
18234
18235
18236
18237
18238
18239
18240
18241
18242
18243
18244
18245
18246
18247
18248
18249
18250
18251
18252
18253
18254
18255
18256
18257
18258
18259
18260
18261
18262
18263
18264
18265
18266
18267
18268
18269
18270
18271
18272
18273
18274
18275
18276
18277
18278
18279
18280
18281
18282
18283
18284
18285
18286
18287
18288
18289
18290
18291
18292
18293
18294
18295
18296
18297
18298
18299
18300
18301
18302
18303
18304
18305
18306
18307
18308
18309
18310
18311
18312
18313
18314
18315
18316
18317
18318
18319
18320
18321
18322
18323
18324
18325
18326
18327
18328
18329
18330
18331
18332
18333
18334
18335
18336
18337
18338
18339
18340
18341
18342
18343
18344
18345
18346
18347
18348
18349
18350
18351
18352
18353
18354
18355
18356
18357
18358
18359
18360
18361
18362
18363
18364
18365
18366
18367
18368
18369
18370
18371
18372
18373
18374
18375
18376
18377
18378
18379
18380
18381
18382
18383
18384
18385
18386
18387
18388
18389
18390
18391
18392
18393
18394
18395
18396
18397
18398
18399
18400
18401
18402
18403
18404
18405
18406
18407
18408
18409
18410
18411
18412
18413
18414
18415
18416
18417
18418
18419
18420
18421
18422
18423
18424
18425
18426
18427
18428
18429
18430
18431
18432
18433
18434
18435
18436
18437
18438
18439
18440
18441
18442
18443
18444
18445
18446
18447
18448
18449
18450
18451
18452
18453
18454
18455
18456
18457
18458
18459
18460
18461
18462
18463
18464
18465
18466
18467
18468
18469
18470
18471
18472
18473
18474
18475
18476
18477
18478
18479
18480
18481
18482
18483
18484
18485
18486
18487
18488
18489
18490
18491
18492
18493
18494
18495
18496
18497
18498
18499
18500
18501
18502
18503
18504
18505
18506
18507
18508
18509
18510
18511
18512
18513
18514
18515
18516
18517
18518
18519
18520
18521
18522
18523
18524
18525
18526
18527
18528
18529
18530
18531
18532
18533
18534
18535
18536
18537
18538
18539
18540
18541
18542
18543
18544
18545
18546
18547
18548
18549
18550
18551
18552
18553
18554
18555
18556
18557
18558
18559
18560
18561
18562
18563
18564
18565
18566
18567
18568
18569
18570
18571
18572
18573
18574
18575
18576
18577
18578
18579
18580
18581
18582
18583
18584
18585
18586
18587
18588
18589
18590
18591
18592
18593
18594
18595
18596
18597
18598
18599
18600
18601
18602
18603
18604
18605
18606
18607
18608
18609
18610
18611
18612
18613
18614
18615
18616
18617
18618
18619
18620
18621
18622
18623
18624
18625
18626
18627
18628
18629
18630
18631
18632
18633
18634
18635
18636
18637
18638
18639
18640
18641
18642
18643
18644
18645
18646
18647
18648
18649
18650
18651
18652
18653
18654
18655
18656
18657
18658
18659
18660
18661
18662
18663
18664
18665
18666
18667
18668
18669
18670
18671
18672
18673
18674
18675
18676
18677
18678
18679
18680
18681
18682
18683
18684
18685
18686
18687
18688
18689
18690
18691
18692
18693
18694
18695
18696
18697
18698
18699
18700
18701
18702
18703
18704
18705
18706
18707
18708
18709
18710
18711
18712
18713
18714
18715
18716
18717
18718
18719
18720
18721
18722
18723
18724
18725
18726
18727
18728
18729
18730
18731
18732
18733
18734
18735
18736
18737
18738
18739
18740
18741
18742
18743
18744
18745
18746
18747
18748
18749
18750
18751
18752
18753
18754
18755
18756
18757
18758
18759
18760
18761
18762
18763
18764
18765
18766
18767
18768
18769
18770
18771
18772
18773
18774
18775
18776
18777
18778
18779
18780
18781
18782
18783
18784
18785
18786
18787
18788
18789
18790
18791
18792
18793
18794
18795
18796
18797
18798
18799
18800
18801
18802
18803
18804
18805
18806
18807
18808
18809
18810
18811
18812
18813
18814
18815
18816
18817
18818
18819
18820
18821
18822
18823
18824
18825
18826
18827
18828
18829
18830
18831
18832
18833
18834
18835
18836
18837
18838
18839
18840
18841
18842
18843
18844
18845
18846
18847
18848
18849
18850
18851
18852
18853
18854
18855
18856
18857
18858
18859
18860
18861
18862
18863
18864
18865
18866
18867
18868
18869
18870
18871
18872
18873
18874
18875
18876
18877
18878
18879
18880
18881
18882
18883
18884
18885
18886
18887
18888
18889
18890
18891
18892
18893
18894
18895
18896
18897
18898
18899
18900
18901
18902
18903
18904
18905
18906
18907
18908
18909
18910
18911
18912
18913
18914
18915
18916
18917
18918
18919
18920
18921
18922
18923
18924
18925
18926
18927
18928
18929
18930
18931
18932
18933
18934
18935
18936
18937
18938
18939
18940
18941
18942
18943
18944
18945
18946
18947
18948
18949
18950
18951
18952
18953
18954
18955
18956
18957
18958
18959
18960
18961
18962
18963
18964
18965
18966
18967
18968
18969
18970
18971
18972
18973
18974
18975
18976
18977
18978
18979
18980
18981
18982
18983
18984
18985
18986
18987
18988
18989
18990
18991
18992
18993
18994
18995
18996
18997
18998
18999
19000
19001
19002
19003
19004
19005
19006
19007
19008
19009
19010
19011
19012
19013
19014
19015
19016
19017
19018
19019
19020
19021
19022
19023
19024
19025
19026
19027
19028
19029
19030
19031
19032
19033
19034
19035
19036
19037
19038
19039
19040
19041
19042
19043
19044
19045
19046
19047
19048
19049
19050
19051
19052
19053
19054
19055
19056
19057
19058
19059
19060
19061
19062
19063
19064
19065
19066
19067
19068
19069
19070
19071
19072
19073
19074
19075
19076
19077
19078
19079
19080
19081
19082
19083
19084
19085
19086
19087
19088
19089
19090
19091
19092
19093
19094
19095
19096
19097
19098
19099
19100
19101
19102
19103
19104
19105
19106
19107
19108
19109
19110
19111
19112
19113
19114
19115
19116
19117
19118
19119
19120
19121
19122
19123
19124
19125
19126
19127
19128
19129
19130
19131
19132
19133
19134
19135
19136
19137
19138
19139
19140
19141
19142
19143
19144
19145
19146
19147
19148
19149
19150
19151
19152
19153
19154
19155
19156
19157
19158
19159
19160
19161
19162
19163
19164
19165
19166
19167
19168
19169
19170
19171
19172
19173
19174
19175
19176
19177
19178
19179
19180
19181
19182
19183
19184
19185
19186
19187
19188
19189
19190
19191
19192
19193
19194
19195
19196
19197
19198
19199
19200
19201
19202
19203
19204
19205
19206
19207
19208
19209
19210
19211
19212
19213
19214
19215
19216
19217
19218
19219
19220
19221
19222
19223
19224
19225
19226
19227
19228
19229
19230
19231
19232
19233
19234
19235
19236
19237
19238
19239
19240
19241
19242
19243
19244
19245
19246
19247
19248
19249
19250
19251
19252
19253
19254
19255
19256
19257
19258
19259
19260
19261
19262
19263
19264
19265
19266
19267
19268
19269
19270
19271
19272
19273
19274
19275
19276
19277
19278
19279
19280
19281
19282
19283
19284
19285
19286
19287
19288
19289
19290
19291
19292
19293
19294
19295
19296
19297
19298
19299
19300
19301
19302
19303
19304
19305
19306
19307
19308
19309
19310
19311
19312
19313
19314
19315
19316
19317
19318
19319
19320
19321
19322
19323
19324
19325
19326
19327
19328
19329
19330
19331
19332
19333
19334
19335
19336
19337
19338
19339
19340
19341
19342
19343
19344
19345
19346
19347
19348
19349
19350
19351
19352
19353
19354
19355
19356
19357
19358
19359
19360
19361
19362
19363
19364
19365
19366
19367
19368
19369
19370
19371
19372
19373
19374
19375
19376
19377
19378
19379
19380
19381
19382
19383
19384
19385
19386
19387
19388
19389
19390
19391
19392
19393
19394
19395
19396
19397
19398
19399
19400
19401
19402
19403
19404
19405
19406
19407
19408
19409
19410
19411
19412
19413
19414
19415
19416
19417
19418
19419
19420
19421
19422
19423
19424
19425
19426
19427
19428
19429
19430
19431
19432
19433
19434
19435
19436
19437
19438
19439
19440
19441
19442
19443
19444
19445
19446
19447
19448
19449
19450
19451
19452
19453
19454
19455
19456
19457
19458
19459
19460
19461
19462
19463
19464
19465
19466
19467
19468
19469
19470
19471
19472
19473
19474
19475
19476
19477
19478
19479
19480
19481
19482
19483
19484
19485
19486
19487
19488
19489
19490
19491
19492
19493
19494
19495
19496
19497
19498
19499
19500
19501
19502
19503
19504
19505
19506
19507
19508
19509
19510
19511
19512
19513
19514
19515
19516
19517
19518
19519
19520
19521
19522
19523
19524
19525
19526
19527
19528
19529
19530
19531
19532
19533
19534
19535
19536
19537
19538
19539
19540
19541
19542
19543
19544
19545
19546
19547
19548
19549
19550
19551
19552
19553
19554
19555
19556
19557
19558
19559
19560
19561
19562
19563
19564
19565
19566
19567
19568
19569
19570
19571
19572
19573
19574
19575
19576
19577
19578
19579
19580
19581
19582
19583
19584
19585
19586
19587
19588
19589
19590
19591
19592
19593
19594
19595
19596
19597
19598
19599
19600
19601
19602
19603
19604
19605
19606
19607
19608
19609
19610
19611
19612
19613
19614
19615
19616
19617
19618
19619
19620
19621
19622
19623
19624
19625
19626
19627
19628
19629
19630
19631
19632
19633
19634
19635
19636
19637
19638
19639
19640
19641
19642
19643
19644
19645
19646
19647
19648
19649
19650
19651
19652
19653
19654
19655
19656
19657
19658
19659
19660
19661
19662
19663
19664
19665
19666
19667
19668
19669
19670
19671
19672
19673
19674
19675
19676
19677
19678
19679
19680
19681
19682
19683
19684
19685
19686
19687
19688
19689
19690
19691
19692
19693
19694
19695
19696
19697
19698
19699
19700
19701
19702
19703
19704
19705
19706
19707
19708
19709
19710
19711
19712
19713
19714
19715
19716
19717
19718
19719
19720
19721
19722
19723
19724
19725
19726
19727
19728
19729
19730
19731
19732
19733
19734
19735
19736
19737
19738
19739
19740
19741
19742
19743
19744
19745
19746
19747
19748
19749
19750
19751
19752
19753
19754
19755
19756
19757
19758
19759
19760
19761
19762
19763
19764
19765
19766
19767
19768
19769
19770
19771
19772
19773
19774
19775
19776
19777
19778
19779
19780
19781
19782
19783
19784
19785
19786
19787
19788
19789
19790
19791
19792
19793
19794
19795
19796
19797
19798
19799
19800
19801
19802
19803
19804
19805
19806
19807
19808
19809
19810
19811
19812
19813
19814
19815
19816
19817
19818
19819
19820
19821
19822
19823
19824
19825
19826
19827
19828
19829
19830
19831
19832
19833
19834
19835
19836
19837
19838
19839
19840
19841
19842
19843
19844
19845
19846
19847
19848
19849
19850
19851
19852
19853
19854
19855
19856
19857
19858
19859
19860
19861
19862
19863
19864
19865
19866
19867
19868
19869
19870
19871
19872
19873
19874
19875
19876
19877
19878
19879
19880
19881
19882
19883
19884
19885
19886
19887
19888
19889
19890
19891
19892
19893
19894
19895
19896
19897
19898
19899
19900
19901
19902
19903
19904
19905
19906
19907
19908
19909
19910
19911
19912
19913
19914
19915
19916
19917
19918
19919
19920
19921
19922
19923
19924
19925
19926
19927
19928
19929
19930
19931
19932
19933
19934
19935
19936
19937
19938
19939
19940
19941
19942
19943
19944
19945
19946
19947
19948
19949
19950
19951
19952
19953
19954
19955
19956
19957
19958
19959
19960
19961
19962
19963
19964
19965
19966
19967
19968
19969
19970
19971
19972
19973
19974
19975
19976
19977
19978
19979
19980
19981
19982
19983
19984
19985
19986
19987
19988
19989
19990
19991
19992
19993
19994
19995
19996
19997
19998
19999
20000
20001
20002
20003
20004
20005
20006
20007
20008
20009
20010
20011
20012
20013
20014
20015
20016
20017
20018
20019
20020
20021
20022
20023
20024
20025
20026
20027
20028
20029
20030
20031
20032
20033
20034
20035
20036
20037
20038
20039
20040
20041
20042
20043
20044
20045
20046
20047
20048
20049
20050
20051
20052
20053
20054
20055
20056
20057
20058
20059
20060
20061
20062
20063
20064
20065
20066
20067
20068
20069
20070
20071
20072
20073
20074
20075
20076
20077
20078
20079
20080
20081
20082
20083
20084
20085
20086
20087
20088
20089
20090
20091
20092
20093
20094
20095
20096
20097
20098
20099
20100
20101
20102
20103
20104
20105
20106
20107
20108
20109
20110
20111
20112
20113
20114
20115
20116
20117
20118
20119
20120
20121
20122
20123
20124
20125
20126
20127
20128
20129
20130
20131
20132
20133
20134
20135
20136
20137
20138
20139
20140
20141
20142
20143
20144
20145
20146
20147
20148
20149
20150
20151
20152
20153
20154
20155
20156
20157
20158
20159
20160
20161
20162
20163
20164
20165
20166
20167
20168
20169
20170
20171
20172
20173
20174
20175
20176
20177
20178
20179
20180
20181
20182
20183
20184
20185
20186
20187
20188
20189
20190
20191
20192
20193
20194
20195
20196
20197
20198
20199
20200
20201
20202
20203
20204
20205
20206
20207
20208
20209
20210
20211
20212
20213
20214
20215
20216
20217
20218
20219
20220
20221
20222
20223
20224
20225
20226
20227
20228
20229
20230
20231
20232
20233
20234
20235
20236
20237
20238
20239
20240
20241
20242
20243
20244
20245
20246
20247
20248
20249
20250
20251
20252
20253
20254
20255
20256
20257
20258
20259
20260
20261
20262
20263
20264
20265
20266
20267
20268
20269
20270
20271
20272
20273
20274
20275
20276
20277
20278
20279
20280
20281
20282
20283
20284
20285
20286
20287
20288
20289
20290
20291
20292
20293
20294
20295
20296
20297
20298
20299
20300
20301
20302
20303
20304
20305
20306
20307
20308
20309
20310
20311
20312
20313
20314
20315
20316
20317
20318
20319
20320
20321
20322
20323
20324
20325
20326
20327
20328
20329
20330
20331
20332
20333
20334
20335
20336
20337
20338
20339
20340
20341
20342
20343
20344
20345
20346
20347
20348
20349
20350
20351
20352
20353
20354
20355
20356
20357
20358
20359
20360
20361
20362
20363
20364
20365
20366
20367
20368
20369
20370
20371
20372
20373
20374
20375
20376
20377
20378
20379
20380
20381
20382
20383
20384
20385
20386
20387
20388
20389
20390
20391
20392
20393
20394
20395
20396
20397
20398
20399
20400
20401
20402
20403
20404
20405
20406
20407
20408
20409
20410
20411
20412
20413
20414
20415
20416
20417
20418
20419
20420
20421
20422
20423
20424
20425
20426
20427
20428
20429
20430
20431
20432
20433
20434
20435
20436
20437
20438
20439
20440
20441
20442
20443
20444
20445
20446
20447
20448
20449
20450
20451
20452
20453
20454
20455
20456
20457
20458
20459
20460
20461
20462
20463
20464
20465
20466
20467
20468
20469
20470
20471
20472
20473
20474
20475
20476
20477
20478
20479
20480
20481
20482
20483
20484
20485
20486
20487
20488
20489
20490
20491
20492
20493
20494
20495
20496
20497
20498
20499
20500
20501
20502
20503
20504
20505
20506
20507
20508
20509
20510
20511
20512
20513
20514
20515
20516
20517
20518
20519
20520
20521
20522
20523
20524
20525
20526
20527
20528
20529
20530
20531
20532
20533
20534
20535
20536
20537
20538
20539
20540
20541
20542
20543
20544
20545
20546
20547
20548
20549
20550
20551
20552
20553
20554
20555
20556
20557
20558
20559
20560
20561
20562
20563
20564
20565
20566
20567
20568
20569
20570
20571
20572
20573
20574
20575
20576
20577
20578
20579
20580
20581
20582
20583
20584
20585
20586
20587
20588
20589
20590
20591
20592
20593
20594
20595
20596
20597
20598
20599
20600
20601
20602
20603
20604
20605
20606
20607
20608
20609
20610
20611
20612
20613
20614
20615
20616
20617
20618
20619
20620
20621
20622
20623
20624
20625
20626
20627
20628
20629
20630
20631
20632
20633
20634
20635
20636
20637
20638
20639
20640
20641
20642
20643
20644
20645
20646
20647
20648
20649
20650
20651
20652
20653
20654
20655
20656
20657
20658
20659
20660
20661
20662
20663
20664
20665
20666
20667
20668
20669
20670
20671
20672
20673
20674
20675
20676
20677
20678
20679
20680
20681
20682
20683
20684
20685
20686
20687
20688
20689
20690
20691
20692
20693
20694
20695
20696
20697
20698
20699
20700
20701
20702
20703
20704
20705
20706
20707
20708
20709
20710
20711
20712
20713
20714
20715
20716
20717
20718
20719
20720
20721
20722
20723
20724
20725
20726
20727
20728
20729
20730
20731
20732
20733
20734
20735
20736
20737
20738
20739
20740
20741
20742
20743
20744
20745
20746
20747
20748
20749
20750
20751
20752
20753
20754
20755
20756
20757
20758
20759
20760
20761
20762
20763
20764
20765
20766
20767
20768
20769
20770
20771
20772
20773
20774
20775
20776
20777
20778
20779
20780
20781
20782
20783
20784
20785
20786
20787
20788
20789
20790
20791
20792
20793
20794
20795
20796
20797
20798
20799
20800
20801
20802
20803
20804
20805
20806
20807
20808
20809
20810
20811
20812
20813
20814
20815
20816
20817
20818
20819
20820
20821
20822
20823
20824
20825
20826
20827
20828
20829
20830
20831
20832
20833
20834
20835
20836
20837
20838
20839
20840
20841
20842
20843
20844
20845
20846
20847
20848
20849
20850
20851
20852
20853
20854
20855
20856
20857
20858
20859
20860
20861
20862
20863
20864
20865
20866
20867
20868
20869
20870
20871
20872
20873
20874
20875
20876
20877
20878
20879
20880
20881
20882
20883
20884
20885
20886
20887
20888
20889
20890
20891
20892
20893
20894
20895
20896
20897
20898
20899
20900
20901
20902
20903
20904
20905
20906
20907
20908
20909
20910
20911
20912
20913
20914
20915
20916
20917
20918
20919
20920
20921
20922
20923
20924
20925
20926
20927
20928
20929
20930
20931
20932
20933
20934
20935
20936
20937
20938
20939
20940
20941
20942
20943
20944
20945
20946
20947
20948
20949
20950
20951
20952
20953
20954
20955
20956
20957
20958
20959
20960
20961
20962
20963
20964
20965
20966
20967
20968
20969
20970
20971
20972
20973
20974
20975
20976
20977
20978
20979
20980
20981
20982
20983
20984
20985
20986
20987
20988
20989
20990
20991
20992
20993
20994
20995
20996
20997
20998
20999
21000
21001
21002
21003
21004
21005
21006
21007
21008
21009
21010
21011
21012
21013
21014
21015
21016
21017
21018
21019
21020
21021
21022
21023
21024
21025
21026
21027
21028
21029
21030
21031
21032
21033
21034
21035
21036
21037
21038
21039
21040
21041
21042
21043
21044
21045
21046
21047
21048
21049
21050
21051
21052
21053
21054
21055
21056
21057
21058
21059
21060
21061
21062
21063
21064
21065
21066
21067
21068
21069
21070
21071
21072
21073
21074
21075
21076
21077
21078
21079
21080
21081
21082
21083
21084
21085
21086
21087
21088
21089
21090
21091
21092
21093
21094
21095
21096
21097
21098
21099
21100
21101
21102
21103
21104
21105
21106
21107
21108
21109
21110
21111
21112
21113
21114
21115
21116
21117
21118
21119
21120
21121
21122
21123
21124
21125
21126
21127
21128
21129
21130
21131
21132
21133
21134
21135
21136
21137
21138
21139
21140
21141
21142
21143
21144
21145
21146
21147
21148
21149
21150
21151
21152
21153
21154
21155
21156
21157
21158
21159
21160
21161
21162
21163
21164
21165
21166
21167
21168
21169
21170
21171
21172
21173
21174
21175
21176
21177
21178
21179
21180
21181
21182
21183
21184
21185
21186
21187
21188
21189
21190
21191
21192
21193
21194
21195
21196
21197
21198
21199
21200
21201
21202
21203
21204
21205
21206
21207
21208
21209
21210
21211
21212
21213
21214
21215
21216
21217
21218
21219
21220
21221
21222
21223
21224
21225
21226
21227
21228
21229
21230
21231
21232
21233
21234
21235
21236
21237
21238
21239
21240
21241
21242
21243
21244
21245
21246
21247
21248
21249
21250
21251
21252
21253
21254
21255
21256
21257
21258
21259
21260
21261
21262
21263
21264
21265
21266
21267
21268
21269
21270
21271
21272
21273
21274
21275
21276
21277
21278
21279
21280
21281
21282
21283
21284
21285
21286
21287
21288
21289
21290
21291
21292
21293
21294
21295
21296
21297
21298
21299
21300
21301
21302
21303
21304
21305
21306
21307
21308
21309
21310
21311
21312
21313
21314
21315
21316
21317
21318
21319
21320
21321
21322
21323
21324
21325
21326
21327
21328
21329
21330
21331
21332
21333
21334
21335
21336
21337
21338
21339
21340
21341
21342
21343
21344
21345
21346
21347
21348
21349
21350
21351
21352
21353
21354
21355
21356
21357
21358
21359
21360
21361
21362
21363
21364
21365
21366
21367
21368
21369
21370
21371
21372
21373
21374
21375
21376
21377
21378
21379
21380
21381
21382
21383
21384
21385
21386
21387
21388
21389
21390
21391
21392
21393
21394
21395
21396
21397
21398
21399
21400
21401
21402
21403
21404
21405
21406
21407
21408
21409
21410
21411
21412
21413
21414
21415
21416
21417
21418
21419
21420
21421
21422
21423
21424
21425
21426
21427
21428
21429
21430
21431
21432
21433
21434
21435
21436
21437
21438
21439
21440
21441
21442
21443
21444
21445
21446
21447
21448
21449
21450
21451
21452
21453
21454
21455
21456
21457
21458
21459
21460
21461
21462
21463
21464
21465
21466
21467
21468
21469
21470
21471
21472
21473
21474
21475
21476
21477
21478
21479
21480
21481
21482
21483
21484
21485
21486
21487
21488
21489
21490
21491
21492
21493
21494
21495
21496
21497
21498
21499
21500
21501
21502
21503
21504
21505
21506
21507
21508
21509
21510
21511
21512
21513
21514
21515
21516
21517
21518
21519
21520
21521
21522
21523
21524
21525
21526
21527
21528
21529
21530
21531
21532
21533
21534
21535
21536
21537
21538
21539
21540
21541
21542
21543
21544
21545
21546
21547
21548
21549
21550
21551
21552
21553
21554
21555
21556
21557
21558
21559
21560
21561
21562
21563
21564
21565
21566
21567
21568
21569
21570
21571
21572
21573
21574
21575
21576
21577
21578
21579
21580
21581
21582
21583
21584
21585
21586
21587
21588
21589
21590
21591
21592
21593
21594
21595
21596
21597
21598
21599
21600
21601
21602
21603
21604
21605
21606
21607
21608
21609
21610
21611
21612
21613
21614
21615
21616
21617
21618
21619
21620
21621
21622
21623
21624
21625
21626
21627
21628
21629
21630
21631
21632
21633
21634
21635
21636
21637
21638
21639
21640
21641
21642
21643
21644
21645
21646
21647
21648
21649
21650
21651
21652
21653
21654
21655
21656
21657
21658
21659
21660
21661
21662
21663
21664
21665
21666
21667
21668
21669
21670
21671
21672
21673
21674
21675
21676
21677
21678
21679
21680
21681
21682
21683
21684
21685
21686
21687
21688
21689
21690
21691
21692
21693
21694
21695
21696
21697
21698
21699
21700
21701
21702
21703
21704
21705
21706
21707
21708
21709
21710
21711
21712
21713
21714
21715
21716
21717
21718
21719
21720
21721
21722
21723
21724
21725
21726
21727
21728
21729
21730
21731
21732
21733
21734
21735
21736
21737
21738
21739
21740
21741
21742
21743
21744
21745
21746
21747
21748
21749
21750
21751
21752
21753
21754
21755
21756
21757
21758
21759
21760
21761
21762
21763
21764
21765
21766
21767
21768
21769
21770
21771
21772
21773
21774
21775
21776
21777
21778
21779
21780
21781
21782
21783
21784
21785
21786
21787
21788
21789
21790
21791
21792
21793
21794
21795
21796
21797
21798
21799
21800
21801
21802
21803
21804
21805
21806
21807
21808
21809
21810
21811
21812
21813
21814
21815
21816
21817
21818
21819
21820
21821
21822
21823
21824
21825
21826
21827
21828
21829
21830
21831
21832
21833
21834
21835
21836
21837
21838
21839
21840
21841
21842
21843
21844
21845
21846
21847
21848
21849
21850
21851
21852
21853
21854
21855
21856
21857
21858
21859
21860
21861
21862
21863
21864
21865
21866
21867
21868
21869
21870
21871
21872
21873
21874
21875
21876
21877
21878
21879
21880
21881
21882
21883
21884
21885
21886
21887
21888
21889
21890
21891
21892
21893
21894
21895
21896
21897
21898
21899
21900
21901
21902
21903
21904
21905
21906
21907
21908
21909
21910
21911
21912
21913
21914
21915
21916
21917
21918
21919
21920
21921
21922
21923
21924
21925
21926
21927
21928
21929
21930
21931
21932
21933
21934
21935
21936
21937
21938
21939
21940
21941
21942
21943
21944
21945
21946
21947
21948
21949
21950
21951
21952
21953
21954
21955
21956
21957
21958
21959
21960
21961
21962
21963
21964
21965
21966
21967
21968
21969
21970
21971
21972
21973
21974
21975
21976
21977
21978
21979
21980
21981
21982
21983
21984
21985
21986
21987
21988
21989
21990
21991
21992
21993
21994
21995
21996
21997
21998
21999
22000
22001
22002
22003
22004
22005
22006
22007
22008
22009
22010
22011
22012
22013
22014
22015
22016
22017
22018
22019
22020
22021
22022
22023
22024
22025
22026
22027
22028
22029
22030
22031
22032
22033
22034
22035
22036
22037
22038
22039
22040
22041
22042
22043
22044
22045
22046
22047
22048
22049
22050
22051
22052
22053
22054
22055
22056
22057
22058
22059
22060
22061
22062
22063
22064
22065
22066
22067
22068
22069
22070
22071
22072
22073
22074
22075
22076
22077
22078
22079
22080
22081
22082
22083
22084
22085
22086
22087
22088
22089
22090
22091
22092
22093
22094
22095
22096
22097
22098
22099
22100
22101
22102
22103
22104
22105
22106
22107
22108
22109
22110
22111
22112
22113
22114
22115
22116
22117
22118
22119
22120
22121
22122
22123
22124
22125
22126
22127
22128
22129
22130
22131
22132
22133
22134
22135
22136
22137
22138
22139
22140
22141
22142
22143
22144
22145
22146
22147
22148
22149
22150
22151
22152
22153
22154
22155
22156
22157
22158
22159
22160
22161
22162
22163
22164
22165
22166
22167
22168
22169
22170
22171
22172
22173
22174
22175
22176
22177
22178
22179
22180
22181
22182
22183
22184
22185
22186
22187
22188
22189
22190
22191
22192
22193
22194
22195
22196
22197
22198
22199
22200
22201
22202
22203
22204
22205
22206
22207
22208
22209
22210
22211
22212
22213
22214
22215
22216
22217
22218
22219
22220
22221
22222
22223
22224
22225
22226
22227
22228
22229
22230
22231
22232
22233
22234
22235
22236
22237
22238
22239
22240
22241
22242
22243
22244
22245
22246
22247
22248
22249
22250
22251
22252
22253
22254
22255
22256
22257
22258
22259
22260
22261
22262
22263
22264
22265
22266
22267
22268
22269
22270
22271
22272
22273
22274
22275
22276
22277
22278
22279
22280
22281
22282
22283
22284
22285
22286
22287
22288
22289
22290
22291
22292
22293
22294
22295
22296
22297
22298
22299
22300
22301
22302
22303
22304
22305
22306
22307
22308
22309
22310
22311
22312
22313
22314
22315
22316
22317
22318
22319
22320
22321
22322
22323
22324
22325
22326
22327
22328
22329
22330
22331
22332
22333
22334
22335
22336
22337
22338
22339
22340
22341
22342
22343
22344
22345
22346
22347
22348
22349
22350
22351
22352
22353
22354
22355
22356
22357
22358
22359
22360
22361
22362
22363
22364
22365
22366
22367
22368
22369
22370
22371
22372
22373
22374
22375
22376
22377
22378
22379
22380
22381
22382
22383
22384
22385
22386
22387
22388
22389
22390
22391
22392
22393
22394
22395
22396
22397
22398
22399
22400
22401
22402
22403
22404
22405
22406
22407
22408
22409
22410
22411
22412
22413
22414
22415
22416
22417
22418
22419
22420
22421
22422
22423
22424
22425
22426
22427
22428
22429
22430
22431
22432
22433
22434
22435
22436
22437
22438
22439
22440
22441
22442
22443
22444
22445
22446
22447
22448
22449
22450
22451
22452
22453
22454
22455
22456
22457
22458
22459
22460
22461
22462
22463
22464
22465
22466
22467
22468
22469
22470
22471
22472
22473
22474
22475
22476
22477
22478
22479
22480
22481
22482
22483
22484
22485
22486
22487
22488
22489
22490
22491
22492
22493
22494
22495
22496
22497
22498
22499
22500
22501
22502
22503
22504
22505
22506
22507
22508
22509
22510
22511
22512
22513
22514
22515
22516
22517
22518
22519
22520
22521
22522
22523
22524
22525
22526
22527
22528
22529
22530
22531
22532
22533
22534
22535
22536
22537
22538
22539
22540
22541
22542
22543
22544
22545
22546
22547
22548
22549
22550
22551
22552
22553
22554
22555
22556
22557
22558
22559
22560
22561
22562
22563
22564
22565
22566
22567
22568
22569
22570
22571
22572
22573
22574
22575
22576
22577
22578
22579
22580
22581
22582
22583
22584
22585
22586
22587
22588
22589
22590
22591
22592
22593
22594
22595
22596
22597
22598
22599
22600
22601
22602
22603
22604
22605
22606
22607
22608
22609
22610
22611
22612
22613
22614
22615
22616
22617
22618
22619
22620
22621
22622
22623
22624
22625
22626
22627
22628
22629
22630
22631
22632
22633
22634
22635
22636
22637
22638
22639
22640
22641
22642
22643
22644
22645
22646
22647
22648
22649
22650
22651
22652
22653
22654
22655
22656
22657
22658
22659
22660
22661
22662
22663
22664
22665
22666
22667
22668
22669
22670
22671
22672
22673
22674
22675
22676
22677
22678
22679
22680
22681
22682
22683
22684
22685
22686
22687
22688
22689
22690
22691
22692
22693
22694
22695
22696
22697
22698
22699
22700
22701
22702
22703
22704
22705
22706
22707
22708
22709
22710
22711
22712
22713
22714
22715
22716
22717
22718
22719
22720
22721
22722
22723
22724
22725
22726
22727
22728
22729
22730
22731
22732
22733
22734
22735
22736
22737
22738
22739
22740
22741
22742
22743
22744
22745
22746
22747
22748
22749
22750
22751
22752
22753
22754
22755
22756
22757
22758
22759
22760
22761
22762
22763
22764
22765
22766
22767
22768
22769
22770
22771
22772
22773
22774
22775
22776
22777
22778
22779
22780
22781
22782
22783
22784
22785
22786
22787
22788
22789
22790
22791
22792
22793
22794
22795
22796
22797
22798
22799
22800
22801
22802
22803
22804
22805
22806
22807
22808
22809
22810
22811
22812
22813
22814
22815
22816
22817
22818
22819
22820
22821
22822
22823
22824
22825
22826
22827
22828
22829
22830
22831
22832
22833
22834
22835
22836
22837
22838
22839
22840
22841
22842
22843
22844
22845
22846
22847
22848
22849
22850
22851
22852
22853
22854
22855
22856
22857
22858
22859
22860
22861
22862
22863
22864
22865
22866
22867
22868
22869
22870
22871
22872
22873
22874
22875
22876
22877
22878
22879
22880
22881
22882
22883
22884
22885
22886
22887
22888
22889
22890
22891
22892
22893
22894
22895
22896
22897
22898
22899
22900
22901
22902
22903
22904
22905
22906
22907
22908
22909
22910
22911
22912
22913
22914
22915
22916
22917
22918
22919
22920
22921
22922
22923
22924
22925
22926
22927
22928
22929
22930
22931
22932
22933
22934
22935
22936
22937
22938
22939
22940
22941
22942
22943
22944
22945
22946
22947
22948
22949
22950
22951
22952
22953
22954
22955
22956
22957
22958
22959
22960
22961
22962
22963
22964
22965
22966
22967
22968
22969
22970
22971
22972
22973
22974
22975
22976
22977
22978
22979
22980
22981
22982
22983
22984
22985
22986
22987
22988
22989
22990
22991
22992
22993
22994
22995
22996
22997
22998
22999
23000
23001
23002
23003
23004
23005
23006
23007
23008
23009
23010
23011
23012
23013
23014
23015
23016
23017
23018
23019
23020
23021
23022
23023
23024
23025
23026
23027
23028
23029
23030
23031
23032
23033
23034
23035
23036
23037
23038
23039
23040
23041
23042
23043
23044
23045
23046
23047
23048
23049
23050
23051
23052
23053
23054
23055
23056
23057
23058
23059
23060
23061
23062
23063
23064
23065
23066
23067
23068
23069
23070
23071
23072
23073
23074
23075
23076
23077
23078
23079
23080
23081
23082
23083
23084
23085
23086
23087
23088
23089
23090
23091
23092
23093
23094
23095
23096
23097
23098
23099
23100
23101
23102
23103
23104
23105
23106
23107
23108
23109
23110
23111
23112
23113
23114
23115
23116
23117
23118
23119
23120
23121
23122
23123
23124
23125
23126
23127
23128
23129
23130
23131
23132
23133
23134
23135
23136
23137
23138
23139
23140
23141
23142
23143
23144
23145
23146
23147
23148
23149
23150
23151
23152
23153
23154
23155
23156
23157
23158
23159
23160
23161
23162
23163
23164
23165
23166
23167
23168
23169
23170
23171
23172
23173
23174
23175
23176
23177
23178
23179
23180
23181
23182
23183
23184
23185
23186
23187
23188
23189
23190
23191
23192
23193
23194
23195
23196
23197
23198
23199
23200
23201
23202
23203
23204
23205
23206
23207
23208
23209
23210
23211
23212
23213
23214
23215
23216
23217
23218
23219
23220
23221
23222
23223
23224
23225
23226
23227
23228
23229
23230
23231
23232
23233
23234
23235
23236
23237
23238
23239
23240
23241
23242
23243
23244
23245
23246
23247
23248
23249
23250
23251
23252
23253
23254
23255
23256
23257
23258
23259
23260
23261
23262
23263
23264
23265
23266
23267
23268
23269
23270
23271
23272
23273
23274
23275
23276
23277
23278
23279
23280
23281
23282
23283
23284
23285
23286
23287
23288
23289
23290
23291
23292
23293
23294
23295
23296
23297
23298
23299
23300
23301
23302
23303
23304
23305
23306
23307
23308
23309
23310
23311
23312
23313
23314
23315
23316
23317
23318
23319
23320
23321
23322
23323
23324
23325
23326
23327
23328
23329
23330
23331
23332
23333
23334
23335
23336
23337
23338
23339
23340
23341
23342
23343
23344
23345
23346
23347
23348
23349
23350
23351
23352
23353
23354
23355
23356
23357
23358
23359
23360
23361
23362
23363
23364
23365
23366
23367
23368
23369
23370
23371
23372
23373
23374
23375
23376
23377
23378
23379
23380
23381
23382
23383
23384
23385
23386
23387
23388
23389
23390
23391
23392
23393
23394
23395
23396
23397
23398
23399
23400
23401
23402
23403
23404
23405
23406
23407
23408
23409
23410
23411
23412
23413
23414
23415
23416
23417
23418
23419
23420
23421
23422
23423
23424
23425
23426
23427
23428
23429
23430
23431
23432
23433
23434
23435
23436
23437
23438
23439
23440
23441
23442
23443
23444
23445
23446
23447
23448
23449
23450
23451
23452
23453
23454
23455
23456
23457
23458
23459
23460
23461
23462
23463
23464
23465
23466
23467
23468
23469
23470
23471
23472
23473
23474
23475
23476
23477
23478
23479
23480
23481
23482
23483
23484
23485
23486
23487
23488
23489
23490
23491
23492
23493
23494
23495
23496
23497
23498
23499
23500
23501
23502
23503
23504
23505
23506
23507
23508
23509
23510
23511
23512
23513
23514
23515
23516
23517
23518
23519
23520
23521
23522
23523
23524
23525
23526
23527
23528
23529
23530
23531
23532
23533
23534
23535
23536
23537
23538
23539
23540
23541
23542
23543
23544
23545
23546
23547
23548
23549
23550
23551
23552
23553
23554
23555
23556
23557
23558
23559
23560
23561
23562
23563
23564
23565
23566
23567
23568
23569
23570
23571
23572
23573
23574
23575
23576
23577
23578
23579
23580
23581
23582
23583
23584
23585
23586
23587
23588
23589
23590
23591
23592
23593
23594
23595
23596
23597
23598
23599
23600
23601
23602
23603
23604
23605
23606
23607
23608
23609
23610
23611
23612
23613
23614
23615
23616
23617
23618
23619
23620
23621
23622
23623
23624
23625
23626
23627
23628
23629
23630
23631
23632
23633
23634
23635
23636
23637
23638
23639
23640
23641
23642
23643
23644
23645
23646
23647
23648
23649
23650
23651
23652
23653
23654
23655
23656
23657
23658
23659
23660
23661
23662
23663
23664
23665
23666
23667
23668
23669
23670
23671
23672
23673
23674
23675
23676
23677
23678
23679
23680
23681
23682
23683
23684
23685
23686
23687
23688
23689
23690
23691
23692
23693
23694
23695
23696
23697
23698
23699
23700
23701
23702
23703
23704
23705
23706
23707
23708
23709
23710
23711
23712
23713
23714
23715
23716
23717
23718
23719
23720
23721
23722
23723
23724
23725
23726
23727
23728
23729
23730
23731
23732
23733
23734
23735
23736
23737
23738
23739
23740
23741
23742
23743
23744
23745
23746
23747
23748
23749
23750
23751
23752
23753
23754
23755
23756
23757
23758
23759
23760
23761
23762
23763
23764
23765
23766
23767
23768
23769
23770
23771
23772
23773
23774
23775
23776
23777
23778
23779
23780
23781
23782
23783
23784
23785
23786
23787
23788
23789
23790
23791
23792
23793
23794
23795
23796
23797
23798
23799
23800
23801
23802
23803
23804
23805
23806
23807
23808
23809
23810
23811
23812
23813
23814
23815
23816
23817
23818
23819
23820
23821
23822
23823
23824
23825
23826
23827
23828
23829
23830
23831
23832
23833
23834
23835
23836
23837
23838
23839
23840
23841
23842
23843
23844
23845
23846
23847
23848
23849
23850
23851
23852
23853
23854
23855
23856
23857
23858
23859
23860
23861
23862
23863
23864
23865
23866
23867
23868
23869
23870
23871
23872
23873
23874
23875
23876
23877
23878
23879
23880
23881
23882
23883
23884
23885
23886
23887
23888
23889
23890
23891
23892
23893
23894
23895
23896
23897
23898
23899
23900
23901
23902
23903
23904
23905
23906
23907
23908
23909
23910
23911
23912
23913
23914
23915
23916
23917
23918
23919
23920
23921
23922
23923
23924
23925
23926
23927
23928
23929
23930
23931
23932
23933
23934
23935
23936
23937
23938
23939
23940
23941
23942
23943
23944
23945
23946
23947
23948
23949
23950
23951
23952
23953
23954
23955
23956
23957
23958
23959
23960
23961
23962
23963
23964
23965
23966
23967
23968
23969
23970
23971
23972
23973
23974
23975
23976
23977
23978
23979
23980
23981
23982
23983
23984
23985
23986
23987
23988
23989
23990
23991
23992
23993
23994
23995
23996
23997
23998
23999
24000
24001
24002
24003
24004
24005
24006
24007
24008
24009
24010
24011
24012
24013
24014
24015
24016
24017
24018
24019
24020
24021
24022
24023
24024
24025
24026
24027
24028
24029
24030
24031
24032
24033
24034
24035
24036
24037
24038
24039
24040
24041
24042
24043
24044
24045
24046
24047
24048
24049
24050
24051
24052
24053
24054
24055
24056
24057
24058
24059
24060
24061
24062
24063
24064
24065
24066
24067
24068
24069
24070
24071
24072
24073
24074
24075
24076
24077
24078
24079
24080
24081
24082
24083
24084
24085
24086
24087
24088
24089
24090
24091
24092
24093
24094
24095
24096
24097
24098
24099
24100
24101
24102
24103
24104
24105
24106
24107
24108
24109
24110
24111
24112
24113
24114
24115
24116
24117
24118
24119
24120
24121
24122
24123
24124
24125
24126
24127
24128
24129
24130
24131
24132
24133
24134
24135
24136
24137
24138
24139
24140
24141
24142
24143
24144
24145
24146
24147
24148
24149
24150
24151
24152
24153
24154
24155
24156
24157
24158
24159
24160
24161
24162
24163
24164
24165
24166
24167
24168
24169
24170
24171
24172
24173
24174
24175
24176
24177
24178
24179
24180
24181
24182
24183
24184
24185
24186
24187
24188
24189
24190
24191
24192
24193
24194
24195
24196
24197
24198
24199
24200
24201
24202
24203
24204
24205
24206
24207
24208
24209
24210
24211
24212
24213
24214
24215
24216
24217
24218
24219
24220
24221
24222
24223
24224
24225
24226
24227
24228
24229
24230
24231
24232
24233
24234
24235
24236
24237
24238
24239
24240
24241
24242
24243
24244
24245
24246
24247
24248
24249
24250
24251
24252
24253
24254
24255
24256
24257
24258
24259
24260
24261
24262
24263
24264
24265
24266
24267
24268
24269
24270
24271
24272
24273
24274
24275
24276
24277
24278
24279
24280
24281
24282
24283
24284
24285
24286
24287
24288
24289
24290
24291
24292
24293
24294
24295
24296
24297
24298
24299
24300
24301
24302
24303
24304
24305
24306
24307
24308
24309
24310
24311
24312
24313
24314
24315
24316
24317
24318
24319
24320
24321
24322
24323
24324
24325
24326
24327
24328
24329
24330
24331
24332
24333
24334
24335
24336
24337
24338
24339
24340
24341
24342
24343
24344
24345
24346
24347
24348
24349
24350
24351
24352
24353
24354
24355
24356
24357
24358
24359
24360
24361
24362
24363
24364
24365
24366
24367
24368
24369
24370
24371
24372
24373
24374
24375
24376
24377
24378
24379
24380
24381
24382
24383
24384
24385
24386
24387
24388
24389
24390
24391
24392
24393
24394
24395
24396
24397
24398
24399
24400
24401
24402
24403
24404
24405
24406
24407
24408
24409
24410
24411
24412
24413
24414
24415
24416
24417
24418
24419
24420
24421
24422
24423
24424
24425
24426
24427
24428
24429
24430
24431
24432
24433
24434
24435
24436
24437
24438
24439
24440
24441
24442
24443
24444
24445
24446
24447
24448
24449
24450
24451
24452
24453
24454
24455
24456
24457
24458
24459
24460
24461
24462
24463
24464
24465
24466
24467
24468
24469
24470
24471
24472
24473
24474
24475
24476
24477
24478
24479
24480
24481
24482
24483
24484
24485
24486
24487
24488
24489
24490
24491
24492
24493
24494
24495
24496
24497
24498
24499
24500
24501
24502
24503
24504
24505
24506
24507
24508
24509
24510
24511
24512
24513
24514
24515
24516
24517
24518
24519
24520
24521
24522
24523
24524
24525
24526
24527
24528
24529
24530
24531
24532
24533
24534
24535
24536
24537
24538
24539
24540
24541
24542
24543
24544
24545
24546
24547
24548
24549
24550
24551
24552
24553
24554
24555
24556
24557
24558
24559
24560
24561
24562
24563
24564
24565
24566
24567
24568
24569
24570
24571
24572
24573
24574
24575
24576
24577
24578
24579
24580
24581
24582
24583
24584
24585
24586
24587
24588
24589
24590
24591
24592
24593
24594
24595
24596
24597
24598
24599
24600
24601
24602
24603
24604
24605
24606
24607
24608
24609
24610
24611
24612
24613
24614
24615
24616
24617
24618
24619
24620
24621
24622
24623
24624
24625
24626
24627
24628
24629
24630
24631
24632
24633
24634
24635
24636
24637
24638
24639
24640
24641
24642
24643
24644
24645
24646
24647
24648
24649
24650
24651
24652
24653
24654
24655
24656
24657
24658
24659
24660
24661
24662
24663
24664
24665
24666
24667
24668
24669
24670
24671
24672
24673
24674
24675
24676
24677
24678
24679
24680
24681
24682
24683
24684
24685
24686
24687
24688
24689
24690
24691
24692
24693
24694
24695
24696
24697
24698
24699
24700
24701
24702
24703
24704
24705
24706
24707
24708
24709
24710
24711
24712
24713
24714
24715
24716
24717
24718
24719
24720
24721
24722
24723
24724
24725
24726
24727
24728
24729
24730
24731
24732
24733
24734
24735
24736
24737
24738
24739
24740
24741
24742
24743
24744
24745
24746
24747
24748
24749
24750
24751
24752
24753
24754
24755
24756
24757
24758
24759
24760
24761
24762
24763
24764
24765
24766
24767
24768
24769
24770
24771
24772
24773
24774
24775
24776
24777
24778
24779
24780
24781
24782
24783
24784
24785
24786
24787
24788
24789
24790
24791
24792
24793
24794
24795
24796
24797
24798
24799
24800
24801
24802
24803
24804
24805
24806
24807
24808
24809
24810
24811
24812
24813
24814
24815
24816
24817
24818
24819
24820
24821
24822
24823
24824
24825
24826
24827
24828
24829
24830
24831
24832
24833
24834
24835
24836
24837
24838
24839
24840
24841
24842
24843
24844
24845
24846
24847
24848
24849
24850
24851
24852
24853
24854
24855
24856
24857
24858
24859
24860
24861
24862
24863
24864
24865
24866
24867
24868
24869
24870
24871
24872
24873
24874
24875
24876
24877
24878
24879
24880
24881
24882
24883
24884
24885
24886
24887
24888
24889
24890
24891
24892
24893
24894
24895
24896
24897
24898
24899
24900
24901
24902
24903
24904
24905
24906
24907
24908
24909
24910
24911
24912
24913
24914
24915
24916
24917
24918
24919
24920
24921
24922
24923
24924
24925
24926
24927
24928
24929
24930
24931
24932
24933
24934
24935
24936
24937
24938
24939
24940
24941
24942
24943
24944
24945
24946
24947
24948
24949
24950
24951
24952
24953
24954
24955
24956
24957
24958
24959
24960
24961
24962
24963
24964
24965
24966
24967
24968
24969
24970
24971
24972
24973
24974
24975
24976
24977
24978
24979
24980
24981
24982
24983
24984
24985
24986
24987
24988
24989
24990
24991
24992
24993
24994
24995
24996
24997
24998
24999
25000
25001
25002
25003
25004
25005
25006
25007
25008
25009
25010
25011
25012
25013
25014
25015
25016
25017
25018
25019
25020
25021
25022
25023
25024
25025
25026
25027
25028
25029
25030
25031
25032
25033
25034
25035
25036
25037
25038
25039
25040
25041
25042
25043
25044
25045
25046
25047
25048
25049
25050
25051
25052
25053
25054
25055
25056
25057
25058
25059
25060
25061
25062
25063
25064
25065
25066
25067
25068
25069
25070
25071
25072
25073
25074
25075
25076
25077
25078
25079
25080
25081
25082
25083
25084
25085
25086
25087
25088
25089
25090
25091
25092
25093
25094
25095
25096
25097
25098
25099
25100
25101
25102
25103
25104
25105
25106
25107
25108
25109
25110
25111
25112
25113
25114
25115
25116
25117
25118
25119
25120
25121
25122
25123
25124
25125
25126
25127
25128
25129
25130
25131
25132
25133
25134
25135
25136
25137
25138
25139
25140
25141
25142
25143
25144
25145
25146
25147
25148
25149
25150
25151
25152
25153
25154
25155
25156
25157
25158
25159
25160
25161
25162
25163
25164
25165
25166
25167
25168
25169
25170
25171
25172
25173
25174
25175
25176
25177
25178
25179
25180
25181
25182
25183
25184
25185
25186
25187
25188
25189
25190
25191
25192
25193
25194
25195
25196
25197
25198
25199
25200
25201
25202
25203
25204
25205
25206
25207
25208
25209
25210
25211
25212
25213
25214
25215
25216
25217
25218
25219
25220
25221
25222
25223
25224
25225
25226
25227
25228
25229
25230
25231
25232
25233
25234
25235
25236
25237
25238
25239
25240
25241
25242
25243
25244
25245
25246
25247
25248
25249
25250
25251
25252
25253
25254
25255
25256
25257
25258
25259
25260
25261
25262
25263
25264
25265
25266
25267
25268
25269
25270
25271
25272
25273
25274
25275
25276
25277
25278
25279
25280
25281
25282
25283
25284
25285
25286
25287
25288
25289
25290
25291
25292
25293
25294
25295
25296
25297
25298
25299
25300
25301
25302
25303
25304
25305
25306
25307
25308
25309
25310
25311
25312
25313
25314
25315
25316
25317
25318
25319
25320
25321
25322
25323
25324
25325
25326
25327
25328
25329
25330
25331
25332
25333
25334
25335
25336
25337
25338
25339
25340
25341
25342
25343
25344
25345
25346
25347
25348
25349
25350
25351
25352
25353
25354
25355
25356
25357
25358
25359
25360
25361
25362
25363
25364
25365
25366
25367
25368
25369
25370
25371
25372
25373
25374
25375
25376
25377
25378
25379
25380
25381
25382
25383
25384
25385
25386
25387
25388
25389
25390
25391
25392
25393
25394
25395
25396
25397
25398
25399
25400
25401
25402
25403
25404
25405
25406
25407
25408
25409
25410
25411
25412
25413
25414
25415
25416
25417
25418
25419
25420
25421
25422
25423
25424
25425
25426
25427
25428
25429
25430
25431
25432
25433
25434
25435
25436
25437
25438
25439
25440
25441
25442
25443
25444
25445
25446
25447
25448
25449
25450
25451
25452
25453
25454
25455
25456
25457
25458
25459
25460
25461
25462
25463
25464
25465
25466
25467
25468
25469
25470
25471
25472
25473
25474
25475
25476
25477
25478
25479
25480
25481
25482
25483
25484
25485
25486
25487
25488
25489
25490
25491
25492
25493
25494
25495
25496
25497
25498
25499
25500
25501
25502
25503
25504
25505
25506
25507
25508
25509
25510
25511
25512
25513
25514
25515
25516
25517
25518
25519
25520
25521
25522
25523
25524
25525
25526
25527
25528
25529
25530
25531
25532
25533
25534
25535
25536
25537
25538
25539
25540
25541
25542
25543
25544
25545
25546
25547
25548
25549
25550
25551
25552
25553
25554
25555
25556
25557
25558
25559
25560
25561
25562
25563
25564
25565
25566
25567
25568
25569
25570
25571
25572
25573
25574
25575
25576
25577
25578
25579
25580
25581
25582
25583
25584
25585
25586
25587
25588
25589
25590
25591
25592
25593
25594
25595
25596
25597
25598
25599
25600
25601
25602
25603
25604
25605
25606
25607
25608
25609
25610
25611
25612
25613
25614
25615
25616
25617
25618
25619
25620
25621
25622
25623
25624
25625
25626
25627
25628
25629
25630
25631
25632
25633
25634
25635
25636
25637
25638
25639
25640
25641
25642
25643
25644
25645
25646
25647
25648
25649
25650
25651
25652
25653
25654
25655
25656
25657
25658
25659
25660
25661
25662
25663
25664
25665
25666
25667
25668
25669
25670
25671
25672
25673
25674
25675
25676
25677
25678
25679
25680
25681
25682
25683
25684
25685
25686
25687
25688
25689
25690
25691
25692
25693
25694
25695
25696
25697
25698
25699
25700
25701
25702
25703
25704
25705
25706
25707
25708
25709
25710
25711
25712
25713
25714
25715
25716
25717
25718
25719
25720
25721
25722
25723
25724
25725
25726
25727
25728
25729
25730
25731
25732
25733
25734
25735
25736
25737
25738
25739
25740
25741
25742
25743
25744
25745
25746
25747
25748
25749
25750
25751
25752
25753
25754
25755
25756
25757
25758
25759
25760
25761
25762
25763
25764
25765
25766
25767
25768
25769
25770
25771
25772
25773
25774
25775
25776
25777
25778
25779
25780
25781
25782
25783
25784
25785
25786
25787
25788
25789
25790
25791
25792
25793
25794
25795
25796
25797
25798
25799
25800
25801
25802
25803
25804
25805
25806
25807
25808
25809
25810
25811
25812
25813
25814
25815
25816
25817
25818
25819
25820
25821
25822
25823
25824
25825
25826
25827
25828
25829
25830
25831
25832
25833
25834
25835
25836
25837
25838
25839
25840
25841
25842
25843
25844
25845
25846
25847
25848
25849
25850
25851
25852
25853
25854
25855
25856
25857
25858
25859
25860
25861
25862
25863
25864
25865
25866
25867
25868
25869
25870
25871
25872
25873
25874
25875
25876
25877
25878
25879
25880
25881
25882
25883
25884
25885
25886
25887
25888
25889
25890
25891
25892
25893
25894
25895
25896
25897
25898
25899
25900
25901
25902
25903
25904
25905
25906
25907
25908
25909
25910
25911
25912
25913
25914
25915
25916
25917
25918
25919
25920
25921
25922
25923
25924
25925
25926
25927
25928
25929
25930
25931
25932
25933
25934
25935
25936
25937
25938
25939
25940
25941
25942
25943
25944
25945
25946
25947
25948
25949
25950
25951
25952
25953
25954
25955
25956
25957
25958
25959
25960
25961
25962
25963
25964
25965
25966
25967
25968
25969
25970
25971
25972
25973
25974
25975
25976
25977
25978
25979
25980
25981
25982
25983
25984
25985
25986
25987
25988
25989
25990
25991
25992
25993
25994
25995
25996
25997
25998
25999
26000
26001
26002
26003
26004
26005
26006
26007
26008
26009
26010
26011
26012
26013
26014
26015
26016
26017
26018
26019
26020
26021
26022
26023
26024
26025
26026
26027
26028
26029
26030
26031
26032
26033
26034
26035
26036
26037
26038
26039
26040
26041
26042
26043
26044
26045
26046
26047
26048
26049
26050
26051
26052
26053
26054
26055
26056
26057
26058
26059
26060
26061
26062
26063
26064
26065
26066
26067
26068
26069
26070
26071
26072
26073
26074
26075
26076
26077
26078
26079
26080
26081
26082
26083
26084
26085
26086
26087
26088
26089
26090
26091
26092
26093
26094
26095
26096
26097
26098
26099
26100
26101
26102
26103
26104
26105
26106
26107
26108
26109
26110
26111
26112
26113
26114
26115
26116
26117
26118
26119
26120
26121
26122
26123
26124
26125
26126
26127
26128
26129
26130
26131
26132
26133
26134
26135
26136
26137
26138
26139
26140
26141
26142
26143
26144
26145
26146
26147
26148
26149
26150
26151
26152
26153
26154
26155
26156
26157
26158
26159
26160
26161
26162
26163
26164
26165
26166
26167
26168
26169
26170
26171
26172
26173
26174
26175
26176
26177
26178
26179
26180
26181
26182
26183
26184
26185
26186
26187
26188
26189
26190
26191
26192
26193
26194
26195
26196
26197
26198
26199
26200
26201
26202
26203
26204
26205
26206
26207
26208
26209
26210
26211
26212
26213
26214
26215
26216
26217
26218
26219
26220
26221
26222
26223
26224
26225
26226
26227
26228
26229
26230
26231
26232
26233
26234
26235
26236
26237
26238
26239
26240
26241
26242
26243
26244
26245
26246
26247
26248
26249
26250
26251
26252
26253
26254
26255
26256
26257
26258
26259
26260
26261
26262
26263
26264
26265
26266
26267
26268
26269
26270
26271
26272
26273
26274
26275
26276
26277
26278
26279
26280
26281
26282
26283
26284
26285
26286
26287
26288
26289
26290
26291
26292
26293
26294
26295
26296
26297
26298
26299
26300
26301
26302
26303
26304
26305
26306
26307
26308
26309
26310
26311
26312
26313
26314
26315
26316
26317
26318
26319
26320
26321
26322
26323
26324
26325
26326
26327
26328
26329
26330
26331
26332
26333
26334
26335
26336
26337
26338
26339
26340
26341
26342
26343
26344
26345
26346
26347
26348
26349
26350
26351
26352
26353
26354
26355
26356
26357
26358
26359
26360
26361
26362
26363
26364
26365
26366
26367
26368
26369
26370
26371
26372
26373
26374
26375
26376
26377
26378
26379
26380
26381
26382
26383
26384
26385
26386
26387
26388
26389
26390
26391
26392
26393
26394
26395
26396
26397
26398
26399
26400
26401
26402
26403
26404
26405
26406
26407
26408
26409
26410
26411
26412
26413
26414
26415
26416
26417
26418
26419
26420
26421
26422
26423
26424
26425
26426
26427
26428
26429
26430
26431
26432
26433
26434
26435
26436
26437
26438
26439
26440
26441
26442
26443
26444
26445
26446
26447
26448
26449
26450
26451
26452
26453
26454
26455
26456
26457
26458
26459
26460
26461
26462
26463
26464
26465
26466
26467
26468
26469
26470
26471
26472
26473
26474
26475
26476
26477
26478
26479
26480
26481
26482
26483
26484
26485
26486
26487
26488
26489
26490
26491
26492
26493
26494
26495
26496
26497
26498
26499
26500
26501
26502
26503
26504
26505
26506
26507
26508
26509
26510
26511
26512
26513
26514
26515
26516
26517
26518
26519
26520
26521
26522
26523
26524
26525
26526
26527
26528
26529
26530
26531
26532
26533
26534
26535
26536
26537
26538
26539
26540
26541
26542
26543
26544
26545
26546
26547
26548
26549
26550
26551
26552
26553
26554
26555
26556
26557
26558
26559
26560
26561
26562
26563
26564
26565
26566
26567
26568
26569
26570
26571
26572
26573
26574
26575
26576
26577
26578
26579
26580
26581
26582
26583
26584
26585
26586
26587
26588
26589
26590
26591
26592
26593
26594
26595
26596
26597
26598
26599
26600
26601
26602
26603
26604
26605
26606
26607
26608
26609
26610
26611
26612
26613
26614
26615
26616
26617
26618
26619
26620
26621
26622
26623
26624
26625
26626
26627
26628
26629
26630
26631
26632
26633
26634
26635
26636
26637
26638
26639
26640
26641
26642
26643
26644
26645
26646
26647
26648
26649
26650
26651
26652
26653
26654
26655
26656
26657
26658
26659
26660
26661
26662
26663
26664
26665
26666
26667
26668
26669
26670
26671
26672
26673
26674
26675
26676
26677
26678
26679
26680
26681
26682
26683
26684
26685
26686
26687
26688
26689
26690
26691
26692
26693
26694
26695
26696
26697
26698
26699
26700
26701
26702
26703
26704
26705
26706
26707
26708
26709
26710
26711
26712
26713
26714
26715
26716
26717
26718
26719
26720
26721
26722
26723
26724
26725
26726
26727
26728
26729
26730
26731
26732
26733
26734
26735
26736
26737
26738
26739
26740
26741
26742
26743
26744
26745
26746
26747
26748
26749
26750
26751
26752
26753
26754
26755
26756
26757
26758
26759
26760
26761
26762
26763
26764
26765
26766
26767
26768
26769
26770
26771
26772
26773
26774
26775
26776
26777
26778
26779
26780
26781
26782
26783
26784
26785
26786
26787
26788
26789
26790
26791
26792
26793
26794
26795
26796
26797
26798
26799
26800
26801
26802
26803
26804
26805
26806
26807
26808
26809
26810
26811
26812
26813
26814
26815
26816
26817
26818
26819
26820
26821
26822
26823
26824
26825
26826
26827
26828
26829
26830
26831
26832
26833
26834
26835
26836
26837
26838
26839
26840
26841
26842
26843
26844
26845
26846
26847
26848
26849
26850
26851
26852
26853
26854
26855
26856
26857
26858
26859
26860
26861
26862
26863
26864
26865
26866
26867
26868
26869
26870
26871
26872
26873
26874
26875
26876
26877
26878
26879
26880
26881
26882
26883
26884
26885
26886
26887
26888
26889
26890
26891
26892
26893
26894
26895
26896
26897
26898
26899
26900
26901
26902
26903
26904
26905
26906
26907
26908
26909
26910
26911
26912
26913
26914
26915
26916
26917
26918
26919
26920
26921
26922
26923
26924
26925
26926
26927
26928
26929
26930
26931
26932
26933
26934
26935
26936
26937
26938
26939
26940
26941
26942
26943
26944
26945
26946
26947
26948
26949
26950
26951
26952
26953
26954
26955
26956
26957
26958
26959
26960
26961
26962
26963
26964
26965
26966
26967
26968
26969
26970
26971
26972
26973
26974
26975
26976
26977
26978
26979
26980
26981
26982
26983
26984
26985
26986
26987
26988
26989
26990
26991
26992
26993
26994
26995
26996
26997
26998
26999
27000
27001
27002
27003
27004
27005
27006
27007
27008
27009
27010
27011
27012
27013
27014
27015
27016
27017
27018
27019
27020
27021
27022
27023
27024
27025
27026
27027
27028
27029
27030
27031
27032
27033
27034
27035
27036
27037
27038
27039
27040
27041
27042
27043
27044
27045
27046
27047
27048
27049
27050
27051
27052
27053
27054
27055
27056
27057
27058
27059
27060
27061
27062
27063
27064
27065
27066
27067
27068
27069
27070
27071
27072
27073
27074
27075
27076
27077
27078
27079
27080
27081
27082
27083
27084
27085
27086
27087
27088
27089
27090
27091
27092
27093
27094
27095
27096
27097
27098
27099
27100
27101
27102
27103
27104
27105
27106
27107
27108
27109
27110
27111
27112
27113
27114
27115
27116
27117
27118
27119
27120
27121
27122
27123
27124
27125
27126
27127
27128
27129
27130
27131
27132
27133
27134
27135
27136
27137
27138
27139
27140
27141
27142
27143
27144
27145
27146
27147
27148
27149
27150
27151
27152
27153
27154
27155
27156
27157
27158
27159
27160
27161
27162
27163
27164
27165
27166
27167
27168
27169
27170
27171
27172
27173
27174
27175
27176
27177
27178
27179
27180
27181
27182
27183
27184
27185
27186
27187
27188
27189
27190
27191
27192
27193
27194
27195
27196
27197
27198
27199
27200
27201
27202
27203
27204
27205
27206
27207
27208
27209
27210
27211
27212
27213
27214
27215
27216
27217
27218
27219
27220
27221
27222
27223
27224
27225
27226
27227
27228
(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Wolfram 14.2' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       154,          7]
NotebookDataLength[   1530793,      27220]
NotebookOptionsPosition[   1524362,      27105]
NotebookOutlinePosition[   1524757,      27121]
CellTagsIndexPosition[   1524714,      27118]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[
 RowBox[{
  RowBox[{"polyBasis", "[", "m_", "]"}], ":=", 
  RowBox[{"Map", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"LegendreP", "[", 
      RowBox[{"#", ",", 
       RowBox[{"2.0", 
        RowBox[{"(", 
         RowBox[{"x", "-", "0.5"}], ")"}]}]}], "]"}], "&"}], ",", 
    RowBox[{"Range", "[", 
     RowBox[{"0", ",", 
      RowBox[{"m", "-", "1"}]}], "]"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.948208602754331*^9, 3.948208630602086*^9}},
 CellLabel->"In[1]:=",ExpressionUUID->"2bf7a7a4-5fb8-45e5-93d8-d867014a08f2"],

Cell[BoxData[
 RowBox[{
  RowBox[{"edgeBasis", "[", "m_", "]"}], ":=", 
  RowBox[{"Map", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"(", 
      RowBox[{"Abs", "[", 
       RowBox[{"x", "-", 
        RowBox[{"#", "/", 
         RowBox[{"(", 
          RowBox[{"m", "-", "1"}], ")"}]}]}], "]"}], ")"}], "&"}], ",", 
    RowBox[{"Range", "[", 
     RowBox[{"0", ",", 
      RowBox[{"m", "-", "1"}]}], "]"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.948119521796258*^9, 3.948119527674906*^9}, {
  3.9481195633012466`*^9, 3.9481195659801826`*^9}, {3.948119914147265*^9, 
  3.948120012039339*^9}, {3.948120104674686*^9, 3.948120112218534*^9}, {
  3.948120146260414*^9, 3.948120149652207*^9}, {3.9481203905183697`*^9, 
  3.9481204000139303`*^9}, {3.9481243585199614`*^9, 3.9481243588162127`*^9}, {
  3.94813222387157*^9, 3.9481322295417624`*^9}, {3.9482086102233753`*^9, 
  3.948208620368788*^9}},
 CellLabel->"In[2]:=",ExpressionUUID->"5af352c6-8896-4a1b-b393-d7f34eecf643"],

Cell[BoxData[
 RowBox[{
  RowBox[{"rawdat", "=", 
   RowBox[{
   "Import", 
    "[", "\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
poly_fits.dat\>\"", "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.9481307166422443`*^9, 3.948130754169201*^9}, {
  3.9481309111456833`*^9, 3.948130912383401*^9}, {3.948174686216248*^9, 
  3.9481746867275467`*^9}, {3.9481968999131937`*^9, 3.948196900701874*^9}, {
  3.9482030689210777`*^9, 3.9482030693756723`*^9}, {3.9482664554211397`*^9, 
  3.94826646086629*^9}},
 CellLabel->"In[3]:=",ExpressionUUID->"b6f65d11-1714-42cd-b279-8e2c0eb8fe70"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"testdata", "=", 
   RowBox[{"Partition", "[", 
    RowBox[{
     RowBox[{"rawdat", "[", 
      RowBox[{"[", "1", "]"}], "]"}], ",", "2"}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"as", "=", 
   RowBox[{"rawdat", "[", 
    RowBox[{"[", 
     RowBox[{"2", ";;"}], "]"}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Length", "[", "as", "]"}]}], "Input",
 CellChangeTimes->{{3.9481307549726753`*^9, 3.9481308081074133`*^9}, {
  3.948212743256954*^9, 3.9482127504710007`*^9}, {3.948213380672443*^9, 
  3.9482133987286167`*^9}, {3.948213737030558*^9, 3.9482137384782457`*^9}},
 CellLabel->"In[4]:=",ExpressionUUID->"788c910c-c901-4771-95a4-a21a3056ef4d"],

Cell[BoxData["151"], "Output",
 CellChangeTimes->{{3.948213738736652*^9, 3.9482137656802483`*^9}, 
   3.948213799433106*^9, {3.948213830637289*^9, 3.948213862914049*^9}, 
   3.948213954104781*^9, 3.948214070848398*^9, {3.948214140176289*^9, 
   3.9482141627821407`*^9}, {3.948214213854001*^9, 3.948214235407702*^9}, 
   3.94821429469254*^9, {3.9482144155725527`*^9, 3.9482144427783203`*^9}, 
   3.9482144906687393`*^9, {3.948214737639249*^9, 3.948214758107476*^9}, {
   3.948214843752248*^9, 3.94821486996375*^9}, 3.948214986299719*^9, 
   3.948215064371868*^9, 3.948215243484837*^9, 3.948215284252746*^9, {
   3.948215412866062*^9, 3.9482154414215593`*^9}, 3.948215498299708*^9, 
   3.948215547566144*^9, 3.9482155945391006`*^9, 3.9482157073937883`*^9, 
   3.948215745320282*^9, 3.94821595049752*^9, 3.948216167110209*^9, 
   3.948216685496647*^9, 3.948216927674919*^9, 3.94821706281322*^9, {
   3.948217301485436*^9, 3.9482173091962633`*^9}, 3.9482187159347763`*^9, 
   3.9482188272097473`*^9, 3.948219448542448*^9, 3.948220231895987*^9, 
   3.948220264865803*^9, 3.948220573173201*^9, 3.948220687762651*^9, 
   3.948220972226074*^9, 3.948221443252694*^9, 3.948221695538033*^9, 
   3.948221998665936*^9, 3.9482221087576323`*^9, 3.9482222090225887`*^9, 
   3.9482222522593613`*^9, 3.948222652533906*^9, 3.948222940411882*^9, 
   3.948223427004236*^9, 3.948223783260468*^9, 3.948260859491197*^9, {
   3.948260919112976*^9, 3.948260923013983*^9}, 3.9482619180749407`*^9, 
   3.948273880274291*^9},
 CellLabel->"Out[6]=",ExpressionUUID->"a5455d1f-2200-4eb8-b7ac-87cfed829af8"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"dataOnly", "=", 
  RowBox[{"ListPlot", "[", 
   RowBox[{"testdata", ",", 
    RowBox[{"PlotStyle", "->", "Black"}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"-", "1.5"}], ",", "1.5"}], "}"}]}], ",", 
    RowBox[{"ImageSize", "->", "300"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.948261248158375*^9, 3.9482612593668957`*^9}, {
  3.948261369932403*^9, 3.948261372307385*^9}, {3.948262696713688*^9, 
  3.9482627016733522`*^9}},
 CellLabel->"In[7]:=",ExpressionUUID->"cbba3901-f3bc-435c-9c36-ae44b4230e6a"],

Cell[BoxData[
 GraphicsBox[{{}, 
   InterpretationBox[{
     TagBox[
      TagBox[
       {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2], 
        PointBox[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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         "]]},
       Annotation[#, "Charting`Private`Tag#1"]& ],
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{
           Annotation[{
             Directive[
              PointSize[0.012833333333333334`], 
              AbsoluteThickness[2], 
              GrayLevel[0]], 
             Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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              "]]}, "Charting`Private`Tag#1"]}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, "PlotRange" -> {{0, 1.}, {-1.5, 1.5}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {300, 300/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, "PlotRange" -> {{0, 1.}, {-1.5, 1.5}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {300, 300/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              PointSize[0.012833333333333334`], 
              AbsoluteThickness[2], 
              GrayLevel[0]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           ListPlot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{
       Annotation[{
         Directive[
          PointSize[0.012833333333333334`], 
          AbsoluteThickness[2], 
          GrayLevel[0]], 
         Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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          "]]}, "Charting`Private`Tag#1"]}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, "PlotRange" -> {{0, 1.}, {-1.5, 1.5}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {300, 300/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        ListPlot, "GroupHighlight" -> False|>|>, 
     "DynamicHighlight"]], {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImageSize->300,
  Method->{
   "AxisPadding" -> Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "DefaultPlotStyle" -> {
      Directive[
       RGBColor[0.24, 0.6, 0.8], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.95, 0.627, 0.1425], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.455, 0.7, 0.21], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.922526, 0.385626, 0.209179], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.578, 0.51, 0.85], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.772079, 0.431554, 0.102387], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.4, 0.64, 1.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[1., 0.75, 0.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.8, 0.4, 0.76], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.637, 0.65, 0.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.915, 0.3325, 0.2125], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.736782672705901, 0.358, 0.5030266573755369], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965], 
       AbsoluteThickness[2]]}, "DomainPadding" -> Scaled[0.02], 
    "PointSizeFunction" -> "SmallPointSize", "RangePadding" -> Scaled[0.05], 
    "OptimizePlotMarkers" -> True, "IncludeHighlighting" -> "CurrentPoint", 
    "HighlightStyle" -> Automatic, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 1.}, {-1.5, 1.5}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {0, 0}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.94826125958193*^9, 3.948261372822441*^9, 3.948261919055586*^9, {
   3.948262699276074*^9, 3.948262701872097*^9}, 3.948273880901355*^9},
 CellLabel->"Out[7]=",ExpressionUUID->"78929829-92ad-4661-b73b-c0d85ddb98cb"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"truthOnly", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"Sin", "[", 
      RowBox[{"2", "\[Pi]", " ", "x"}], "]"}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
    RowBox[{"PlotPoints", "->", "100"}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"-", "1.5"}], ",", "1.5"}], "}"}]}], ",", 
    RowBox[{"ImageSize", "->", "300"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.948261225687996*^9, 3.948261238816614*^9}, {
  3.948261377452162*^9, 3.948261383060684*^9}, {3.948262705554737*^9, 
  3.9482627057549877`*^9}},
 CellLabel->"In[8]:=",ExpressionUUID->"28259c60-740d-4dce-ab83-46e9aa5aaa2d"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{{{}, {}, 
       TagBox[
        {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
         LineBox[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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              "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0., 0.9999999898989899}, {-1.5, 1.5}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {300, 300/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{0., 0.9999999898989899}, {-1.5, 1.5}}, 
          "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0},
           "ImageSize" -> {300, 300/GoldenRatio}, "Axes" -> {True, True}, 
          "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
          "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             RGBColor[0.24, 0.6, 0.8], 
             AbsoluteThickness[2]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              (Identity[#]& )[
               Part[#, 1]], 
              (Identity[#]& )[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
         "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{{{{}, {}, 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.24, 0.6, 0.8], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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          "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{0., 0.9999999898989899}, {-1.5, 1.5}}, 
       "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
       "ImageSize" -> {300, 300/GoldenRatio}, "Axes" -> {True, True}, 
       "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          RGBColor[0.24, 0.6, 0.8], 
          AbsoluteThickness[2]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {}, "GCFlag" -> False|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->300,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0., 0.9999999898989899}, {-1.5, 1.5}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {0, 0}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948261218376964*^9, 3.948261239077613*^9}, 
   3.9482613835910263`*^9, 3.9482627060342903`*^9, 3.948273881445201*^9},
 CellLabel->"Out[8]=",ExpressionUUID->"8e055139-6bd8-4751-84b0-d76ee0bd2474"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"dataAndTruth", "=", 
  RowBox[{"Show", "[", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"Sin", "[", 
        RowBox[{"2", "\[Pi]", " ", "x"}], "]"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
      RowBox[{"PlotPoints", "->", "100"}], ",", 
      RowBox[{"PlotRange", "->", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "1.5"}], ",", "1.5"}], "}"}]}]}], "]"}], ",", 
    RowBox[{"ListPlot", "[", 
     RowBox[{"testdata", ",", 
      RowBox[{"PlotStyle", "->", "Black"}]}], "]"}], ",", 
    RowBox[{"ImageSize", "->", "300"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.948209166983004*^9, 3.948209177360331*^9}, {
  3.948212486614019*^9, 3.948212490612102*^9}, {3.948261269328219*^9, 
  3.948261280512623*^9}, {3.94826138642839*^9, 3.94826139046032*^9}, {
  3.948262708914226*^9, 3.948262709162466*^9}},
 CellLabel->"In[9]:=",ExpressionUUID->"93081125-f7f5-4ec1-8522-2663d9863e0b"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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               "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0., 0.9999999898989899}, {-1.5, 1.5}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0., 0.9999999898989899}, {-1.5, 1.5}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0., 0.9999999898989899}, {-1.5, 1.5}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
          PointBox[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->300,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0., 0.9999999898989899}, {-1.5, 1.5}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {0, 0}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948209169640115*^9, 3.948209177672391*^9}, 
   3.948212491303617*^9, 3.948212723256804*^9, 3.948212755546177*^9, 
   3.9482129451866426`*^9, 3.948213385190954*^9, 3.948213464586896*^9, {
   3.948213535810399*^9, 3.948213579224333*^9}, {3.948213680818624*^9, 
   3.948213766301342*^9}, 3.948213800231462*^9, {3.9482138315979633`*^9, 
   3.948213863759679*^9}, 3.948213954711218*^9, 3.948214071537027*^9, {
   3.9482141409980183`*^9, 3.948214163369894*^9}, {3.9482142143585567`*^9, 
   3.9482142359958477`*^9}, 3.948214295489464*^9, {3.948214416123187*^9, 
   3.948214443510972*^9}, 3.948214491218445*^9, {3.9482147382234*^9, 
   3.948214758639926*^9}, {3.948214844277807*^9, 3.948214870543174*^9}, 
   3.9482149868765078`*^9, 3.948215065319427*^9, 3.948215244797098*^9, 
   3.948215284837975*^9, {3.94821541350979*^9, 3.9482154420909357`*^9}, 
   3.948215498903605*^9, 3.948215548194723*^9, 3.948215595220462*^9, 
   3.9482157080276117`*^9, 3.948215745844039*^9, 3.94821595117552*^9, 
   3.94821616772834*^9, 3.9482166862968483`*^9, 3.948216928289578*^9, 
   3.948217063714057*^9, {3.948217302079777*^9, 3.9482173098439617`*^9}, 
   3.948218716751873*^9, 3.948218827912368*^9, 3.948219449217574*^9, 
   3.9482202325622463`*^9, 3.94822026547016*^9, 3.9482205739370203`*^9, 
   3.948220688463863*^9, 3.9482209729685993`*^9, 3.9482216961959887`*^9, 
   3.9482219993874283`*^9, 3.948222253069086*^9, 3.948260860389288*^9, {
   3.948261269960252*^9, 3.948261280838236*^9}, 3.9482613908586397`*^9, 
   3.948262709673897*^9, 3.948273881694083*^9},
 CellLabel->"Out[9]=",ExpressionUUID->"6aba4807-4f56-4e4c-91f9-44245b663beb"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"basisPlot", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{"Evaluate", "[", 
     RowBox[{"polyBasis", "[", "6", "]"}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"-", "1.5"}], ",", "1.5"}], "}"}]}], ",", 
    RowBox[{"ImageSize", "->", "300"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.948261632439481*^9, 3.948261661903262*^9}, {
  3.948261774758247*^9, 3.9482617749885273`*^9}, {3.948262713474251*^9, 
  3.9482627137705584`*^9}},
 CellLabel->"In[10]:=",ExpressionUUID->"28c5ddb2-5548-4f43-9824-c5195899a516"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{{{}, {}, 
       TagBox[
        {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
         LineBox[CompressedData["
1:eJxTTMoPSmViYGAwAWIQ7ZX64uKBl6F2DGDwwX6BqH9bl2SLPYzfyLFZvVNy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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ], 
       TagBox[
        {RGBColor[0.95, 0.627, 0.1425], AbsoluteThickness[2], Opacity[1.], 
         LineBox[CompressedData["
1:eJwt1H0w1HkcB3CPk3J5SjVbIaLzVEluVereFVciXTaGLnmq1FGXnBvUXdIs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          "]]},
        Annotation[#, "Charting`Private`Tag#2"]& ], 
       TagBox[
        {RGBColor[0.455, 0.7, 0.21], AbsoluteThickness[2], Opacity[1.], 
         LineBox[CompressedData["
1:eJw12Gk4Vd3bAHBTEqWIPEqmkCRJokHuDKmEyNxTVFKoZCoUSQ8KGSoh81BJ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          "]]},
        Annotation[#, "Charting`Private`Tag#3"]& ], 
       TagBox[
        {RGBColor[0.922526, 0.385626, 0.209179], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwlmXk01N//x60tki1kK7JlC5UQ8lJUshSiVPMR2aWULS2yZEuFSqVslRaU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          "]]},
        Annotation[#, "Charting`Private`Tag#4"]& ], 
       TagBox[
        {RGBColor[0.578, 0.51, 0.85], AbsoluteThickness[2], Opacity[1.], 
         LineBox[CompressedData["
1:eJwtmnk0VP//x22fKCGishWKZCmplJJX1rKTNSGJ0iZJJamsKdmSJElCypJ9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          "]]},
        Annotation[#, "Charting`Private`Tag#5"]& ], 
       TagBox[
        {RGBColor[0.772079, 0.431554, 0.102387], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwlWnk4Vd/3liRTQipjqaTI9JGUlKXImMpQKESkMmVqUBSFFKESksoUkTIP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          "]]},
        Annotation[#, "Charting`Private`Tag#6"]& ]}, {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJxTTMoPSmViYGAwAWIQ7ZX64uKBl6F2DGDwwX6BqH9bl2SLPYzfyLFZvVNy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              "]]}, "Charting`Private`Tag#1"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.95, 0.627, 0.1425], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwt1H0w1HkcB3CPk3J5SjVbIaLzVEluVereFVciXTaGLnmq1FGXnBvUXdIs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              "]]}, "Charting`Private`Tag#2"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.455, 0.7, 0.21], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJw12Gk4Vd3bAHBTEqWIPEqmkCRJokHuDKmEyNxTVFKoZCoUSQ8KGSoh81BJ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              "]]}, "Charting`Private`Tag#3"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.922526, 0.385626, 0.209179], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwlmXk01N//x60tki1kK7JlC5UQ8lJUshSiVPMR2aWULS2yZEuFSqVslRaU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              "]]}, "Charting`Private`Tag#4"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.578, 0.51, 0.85], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwtmnk0VP//x22fKCGishWKZCmplJJX1rKTNSGJ0iZJJamsKdmSJElCypJ9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              "]]}, "Charting`Private`Tag#5"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.772079, 0.431554, 0.102387], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwlWnk4Vd/3liRTQipjqaTI9JGUlKXImMpQKESkMmVqUBSFFKESksoUkTIP
ZdhmMrv3nnPdQ4jrmi4qGZL0O9/n9w/P+5y91l7vu9Zee+3nudsuXDW/yMnB
wdFO/vnff+OLY93V46e1G0pMS1f+zSAuXQmvAXF1aEqlnG8umkF73yQkFYrr
gWmS8UfmlRlk0k4veCVuCc+F3TxEsWlk5bxQ+VTcGQy0sBbj3Cn0VeWB7mNx
P7hpmPpjxGcSJW88GfZIPAS61Qp2ee8bRbfb4+vPfA4B/hta5oq/WOhM6CDn
jnOhcNviUPPeQhYSmPO+W54UBh8ERLvk1FjoJi32JnvrQ9B4unEkfu8IMntG
uJ6Qi4JUW6n1t/WGUTBP4a6H4rFwnKXUPKg5gBQMnoQXeMWCptVo6NHqfkQJ
vTre2xQLNHltEyODfiS7WvG98vXnsKz2lFfP6itq/JuuTKPEwf3OLfLf7vQi
gdm4fVsjX0AnX+w+MzYdJXy9pVu88hqieM/faTvUjY5I2aT3n34DI12PS8fw
LjRxdv8ang9vgD3Pp/XSuwttYfs7fVBKBu4d+e/vmXWiq1c0dnL0JUPaPr5c
vkNtSMQ5993bA6kgU2gpIWLYiKxtUnK//0gHU7ffokVuJWim15IvVeItMBUi
BderFaMwe56LFrpv4dIqf99jS4Wo0OmqREnsWxgaG/ilHZOPBD0Ph97enwHD
lilnAtKzUMM9xlnuwEwY1XAS6LzyGKnlCHNL8WQDb/h4VX5sNnxRbnBoV80G
gf7kM65xOeCQf7P8jk02xBnczayN/QiPSwa8vmVng2F5652PuvkwVv2hN8P0
PYy8ub6is70YXmNG+f89y4H27uwR15gK4P8XbGuwJRcg1nQjW6oBEq5Y2Svq
58K8y9PG+OAGkKUpOgh75kKri8yjByMNoJ1Fd+qtzAVPJ4W0fe8b4VNWXHGp
ch64OX6J7FNqhikLdoVJRx58dhX4ThdqBXVe+mHtoTxoCGr7zufaCreqaqpU
5/Mg3qPPIqK2FdbKx1dv3JIPF6M8I697t8G2lSP1Ax75cIfzcgt3Uzucfhff
6ruuAKKPtg037u6CJLt7x122FYAA0y1t6mQXDIl4tFvvK4AdH+AVut4FVwOP
dh62KwClW8/sXOq64KH5FGXthwKQ2Jvd12jdDZXLR4mXxwvhwWuPDmE/Cuw0
mx6riygC2PhO9JMnDSTuGhy8lFIEbS2u63SjaCD0ITmCr7QIkoTUHvt+oMES
j4Wy2VARzKyPvP1lggZd1aW+/QeKYU3nkzvmjhjcUg1eWRwpBtuMlJkd2jhc
tSdOJv0pBgMz7wfa1jg4R+5NAeESSMAjl7h8cDg5NqIbdqgEvJcla+PScZBN
Nn644VkJ4Ha9v/E1dOhYLyqqrFMKDwb2J4t8okPdYY+L3adLYQB4x4Q76FDm
1lji51YKaV6hGrVDdEhrumlTHlcK/X9bFPfz98DNu19fG06Vwvvp7rO3rXvA
44PG90nOMlAcPVfM79YDF3qjj0SLlcG9FpFXJwN7wHT/USamWwYXs45bzib3
wPaZDHmnxDLQY4hIFjJ7YLM0x23uvDI4ZQEvxn71gICJTVtWQxlgmMg2GhcD
FjL4r37/XgY/j86Fd+xgQJu9V1GgwSeYlh84aWPPgBsdmpDw6xPE29SN8zUy
QFC5eOQLz2fgEOW59K+LAemPVSP/SH2GpSSx3NJeBnQf38WwP/YZxgVH4/2+
M2BPq6jvzrjPcNvgc7TcZgJqFWLErbI/Q9KF3F06MgRYP+KvDq/6DJ0bVm5s
lScg1IhzHZv1GcxjD2qoHiRgoGkmo2B/OfwULqEk2xBwfZebKdOkHPw/tNOn
HQgQeMCa3ehQDp90L9zmukyApv5XHf/wcnBbNxz14BoBXW+tR7OTyiF4ae76
3G0CXNbQHvfllYOJI3Vqzz0CntW3EMAoh8NZC9dnHxOgIKsf7D1VDjtVbnGE
PiOg+n7NrrRVFcATor12MIGAqaNlftwKFWB/r8Z/NpWAkNS9kge0K6DmZve5
nEwCJDhza66YV8Df4YZMlRwCDGreCrbfqgDe05WX44oI6JfZVrwSVQHH1u22
uFVGgF9Q0jnVtApY817/qXwFAXyDmzkvlFaAu0aIQzoiIAWevXvWWgF/UpQX
J2oJOPBG8GTDQAWod11/9reBgI6Vh3PzsxXQ9MLLva+ZgD+VQUfPSlWCjMV+
9K+dgKfSy2MRqpWQuZCYo9dFwO7AG9GVepXQmvO16gyFgKq+n/tmrCthu889
FQ0aAacPefbJeFRCicPM/mGMAPbL8XvmwZUgn+8hbE8n4N4fZ/mQ55WgVyM/
l9FDgNi5wc7irErYK7FXqopBQO7nc9dHKysBrgegNIIAfQm6lDilEuoaezdb
9xLQ529eZ8wi/R3ks+8lsQ+j/UrAUiWkH0lvUeojgFfTSOijYBXYxMvHnSRx
ckJ9ycD2KljW/buoQ2KNRbAT3l8FQm8v7uEkcZtV+WpdkyoI8om8+Iz051Sq
ke13vgq+1N8Z+EXuv7Sp4FSGbxVkSyh1y5E45rrSAv1BFRw47+YjT8Yrh797
xZtUBZ9mvi8tk/wq98nqaeVVQUSKdWoKToDl8zcT7vVVwNcsk7yZ1GPil8ST
1z1V8ODg+z3nqQQEWcbt72JXwYazhwNudhOwuUi4f9UqBK83c3xx6iTANvKP
JXMTgp9aE03TbQSkOo+0Nioi8E6MOqpHlt7ooc6jWUcRtMjk33FuIkBx46dP
EdYIXqZP15ysJ/WZSlX19ERwnl1hxl1DQGlDZOapEAS6Za6+4ZUEHL3u8Hxj
HoKyn31B34sJCD9hLLDYgOCFcMA8nk9Au5z6faIXAc+uPOFHHwjImbxf1rm6
GrDFQWOrdFLPJKuMWJVqkCtV0n4eTYBNeNu30IPVkHrY1GrsIQEBfkekbxyr
hs/TOzX4QgioOb4n1uZcNXhFa5iX3yDg+N+V4C0PqkHgFcWKsCXAc9y3cv1T
Ej9pms0+TcATbGyR41U1MNbOuR0/QQD+gXJ1uKAalgQcfnMCAY72GXbv+qth
w/XRz8e2kOfJWPLFi/FqkKFLu6dvJCBDI4b26Fc1fBu6yY0LkPUoeMvEg68G
FP6DpYIlBlxHpppqGjUwn6c8c5bGgEiZOdGKxzUQYRsg+fIuAz4KuJ76kFAD
KXYJgfp+ZH9a7I94nVYDGf7ajc2XGbCpu5kz+FMNLPLYrbEwY0BKcNL3YyM1
8GDPNr5QGQaUDOm2dR6qhdgbp5Wel/YAbhj847FBLfC7nc4VyO6B+Y9Vm46b
10LRIW8Dh6Qe2H9b07H5Ui0o8vx+lRTUA2UbVOarn9bCyHChmJdBD3zSk5Ap
GKsFx2H5m4XkfVCR8d03NrYOWJLd95UbcOgTUH5h/qYOfPVLimILcVj2casS
yq6DTKUR4msKDoeBxfMY1cGDaU1C/A4OVfTeV6ETdRD1WNlJex8OiKep6bpO
PdyU59956TUGta6vJG3Y9fBpue1rkh0NCsfd3Ozn60Etr5OqaEyD9MsHy504
GsDxOYUnS4MGoS70s56iDZDRN93usp4GhheEE+8faoCz5+uFlxEVOm1CxT5G
NsDnsV2JudJU6DP02LhaqRHadq481G/rhjm5w+s/eDSBl3n+6/DlduD8/V5I
cmcLsKytRp2watD451Bi8bEN+OMSlvybk6EtRL2jUaET+trL6m2YH9HWmMnf
WdNdwGdQPjVzpQ5VOd7NKpjtgq99ybPWT+uQ/d4NNuWLXaC3LJ+Z+bkOJeEH
y9o4u4Ey9z13jq8eiUk/uj6zqRsu7fQJNMuuRyLZu2fVoRuoPV+2/xxuQGvq
L7JRdDfwa77wUznajNKf/37ZHNsN4SlJ5VsuNSO9S49Nul90ww7r1WXfI5rR
Pb7i7KG0bgicbL91CGtGK6e4rqwpI+eSCy40L5cvaPFr6ojxIMn7aE/6wfst
aHJhoB9TpUD/C/dvTW/bUMml6FpjDQocKxRfzvnShoLo2hlIi/wuM/3FfaoN
bSp95ZGlT4HXobvlAtTb0dHr55YDbCnwc4dOAL26HSX+wsVlwymgInCc15PS
gQx/tFv6DFCgfm7R3cC9C21wDDwwyqSAB6jrdN/uQv1dilK2E+R+JqVqBhFd
yC8vYvjYHAV23/xqsZDVhd5cNfIR56eCY82BN5dYXWh+qj66WoNKxl97Ifhc
N0qfKG8RjKLCiaoJMRcNCvKMP7nD9RkViqZMHHbrUtB+veHbDQlUECoySsFP
UlDLKz6lgDQqHLuE/Z6/TEE/TtlEj5dRIfawiYd+IgVpl85b1A9TwVD5BSH5
m4J4nB/lbB2nAtXj7rGXXFREEdqy5vY0Feap/9lwC1HRRddjJf/9psLVAzpX
3shRUaR0rNgbQRpcLuwq7DOnIsb9/776a9Ig1/W+W1AmFaWqNuzDtGnQKLnD
ryyfity/Wkep6tFAYTSX1VtORRz7g2D0BA0GRnWWmZ1UJDfRkWLpTAMn1B/9
b56K/E65u6hE08D4aEGjxREaEpTOnGEyaaBbfsrxUiMN6Zy5/3V4nAbvv9x/
FtJOQz7R51uHpmnQdrr7VTSNhvBVYpmDizRQyW7UuDpEQ69Z4fZ9AhgU7ZNy
tPxLQ8p5ru1UdQxKri8tFKtgyGFcv5yiicHScNaJvH0Yerp9R1a3NgbxP/b6
JmhhaD62N6TTEINwwVlZNQMMVfkfP9Rqi4GW3J1dEXYYMtVVfl8bgoG2lEwh
NQxDdwL4XtQ8xKBl692R7AgM5RWzwqqjMPD98GT0agyGRHe/uVCVgEH7dZZt
3QsM9QkISXzOwUDdzVs65j2GBPXZaz/lYyAocrgfy8WQzt3mudISDKYXNvrx
FmEo/UdQd3E1Btni/tsPVmDIHf8Rnk/DoOOS6duaVgy9Xt9xPY+BwaNnt+Sv
d2KoyzDbObcfA5HDs4/EqBhSL7+g82EMg4gYNCFHYGj5DXXh3TIGygX8uq6j
GFJm5I5krsJhj3kk/niC1EckkprBjUPLv6vmb6YwVB+il5suhMNqp1reyFkM
RV4pdkmWxcHgcMHbyBUMTeh8COdXwIGTl55wZhWODMTeZl9XwWHnDn5Lfi4c
cTbFTh8/iMMjsVjFfbw4cngdKVQGOPhd4zmZzY+jqmshajuO4cCzoVWXTxBH
/rJ+13+fxGHtgkzuIxEc4X/cEpxP42A/e3zPe1EcqVOdPneexSE9YjGkZBOO
vgdbrLy9iEOs29u+xxI4OmFjIiPsRvqPKR20kcLRe1XdowFeOFB+u3YIbcGR
y4BamPltHK6b3faFbTiqL1F4VxmEww4Nh/9Kt+Noe9T2lt1hOFgdnB8Rl8VR
0EUJ9rMIHBgnMmIv7cTR10Migv9iSD6SYzrJcjg6KMqn6hpHvluWjkzX7cJR
wuQqc+wlDlemDJMpu3E0X/vbV4e8N2SeJ59tk8eRZeKP5+8zcBDb80cmXwFH
Bd7jpZtycOC7Kb4QtAdH642+MYLzcTjzpWVQSxFH7jKMP+wSHDIm2d++kbhl
oUvaugIH7e3uKz5KONrd2Qx1NTioS+kenCFxWEa1o3ITTr5Dbr04o4wjZmDZ
/RdtOLzl2yOTReIjp/PeclHI+NX9KSwSv1Z813SVjoP/nRdF61VwtLw6eZzo
w2FJq6NlB4nP9sbz6w/h0P7nkvj/cFlBtFL+KHkv3mlIX0fiTY8enJSawkEn
z8J7mPTn63jX+8FP8l32+vH9dBJ3Hbjx7OcCDmPuywOnSKwsdLXY7i8OyRb7
I8bIeCNHXejNnHTIfTL80I3EE1X2v/fy0OH4xaJBBsnXMO6M5Jt1dKjlcovd
S+K3HicO822gQ89zPOsmqRfnMf3z18TokLCDtjOL1NNBSjt4UJoOHC9OrGsg
9ZZqVWoo2U0H3zXv1RCZn1upO0e3KdPBti/z1isyf3R/ad7He+ngaWh19H/5
fbp7namTNh1QXOLFSrIevv/jutqhS4fdv0tajch6OUFfjtE0ooPQYFxjzVYc
8Yaxaest6WBUZxDjR9abix1z/pYNHbQo61xzyXqsV+8TY9nTgT8weBoTI+tp
uNW24gq5vn9mHYus53md98zLd+lw3sXIYIMAjirSJ1/eCKFDUUd0IUael3s8
ihZhD+lweoXnSdhaHAl25dSkPaPDxxy1wkJOHMmd//i6P5MO7MTxrYcWMcSu
nT49lUOHchfuFJ85DBXIqaxbzqeDyMa48vifGNKezr0tXkEH01fj3R/YGDoT
mG9t2UWHJpnQzXyDGJL69mO9E0YHlcHNi8V9GBrSU2vyJujwu7876RQDQ54C
hfuimXQILmo3NKdgKOxlkUjLIh1oagFND+owVPyptA229cDPpDSn6lQM3ZJe
vH9CjpzT2u6pnntN9rfgA1p2e3qgac3WLSNkP2wz/JR1a18PtPz649tI9ksm
/XNYsVEPqFsZlaJAsn/OV+rs8emBDFnN7U8tMUTYrCxo3uiBtNMfJ7adxFBy
pXauYUAPrNMu00wxwpBiKJJ2CesBg7VaYZ7aGNITrVlKTuyBIZWa53q7MOSn
Vl+0qa4HHDNKnjDnaMhFXSb5SXMPGJcd3DoyTUPWGgERAh09oOv0jk4ZpSGt
g+oXOBk90Fa3MnWNQUOcR9PXT0+T38Oti3rLaSjaLMS1QYIBm698mFQKpKFs
Lz0ZPx8GlG+xu/HfTypK8knmn7nBgFNwgntijIoe+y3PXwlkwO3rn//EDFCR
182i9vPhDHjqdVovu42K9gfJ3jZ5zYDRS9I3+DOoqD6aC9/ewgD5MR/Gk9NU
NPCxPqJ7GwFD+chuOZOCuqa42Gq7CPBHH460JVFQteKx47GKBBinPXsQ+YSC
krMbBKz2E3A/X9il/xYFXchofNx3nAAjftOs5uMUxHrVHD1KviN8Vg3p1Ex1
o6nItmd/yXdr1ZSGWqxsN/rjSnspf6sXXPiHNnZ2dSBLDbsnynd7obddxvF0
cQfKWcUK2xvSCwncE18aXnQg+4QF78NRvcDV7m908UIHqmmQMDRL7YVsM1vr
lJ/t6IGM46+bLb3Al/g2VmZ9O9qATx1vluiDwQL5UNqBVrTnyNoVl/I+EHsT
fH/RogkZpG67lL+5H1Y7hmpE7KhAN6TPb/9mOwCG/u6tMaJpSJF9mp9uOghs
1aYj4RqpsGH9d576pUHISIx3o5HvdC70MndH0jeIWsLSs7magDikZzjw+htQ
nMz3sHY1ke9l9mBiyjdoduTzFTRpgrMlh0VEMr9BqWB5m+yTJsj/MODHUfAN
ZrnMbC5KNYN90o6DX5u+wb0cCJBU+QJl/u/r42a/gUS6ol2EXitELVjYmc9/
g8/anWt3XmwFp2vLc+t+k/YrvpWZoa0g6G26K3TlG6zQJPFLja1w8fLMQ1/e
ISjO3hTXqd8GIlZ7T57aOgQb+gb1ZHXbwU29nMFrMgRO6hNVUvKdUN2F5ZSZ
DoG58WvezfqdsNHj+91Lp4ZgnqbTvXChE9DbnXINp4dg1y8nL/ekTtiwOcYn
yGEIPI9Zxaxf2wXlv535F64NAWtiaY3x9S7gR4KHmclDsGRj9jjMuBsczskL
PUsbAms1aUkLq24oXtAdPpIxBFdL/WyEnbvhvKr/wzfvh0DiIlfZhcBuKEwZ
xs6WDMFshkieVW43nAsp8+xuJf3PlxwJEqLAe6MLyVXzQ3Dpm57x7SYKqCtu
04bfQ3An/mvN+24KVAkO9qI/Q6B8+Vh4Ry8Fuqh2m2s4huFY+K7+iRkK/LKz
iarjG4YQ/X1lgZupoO1zKqB5yzBsOcOM4HKmQleitjVFfxg8I8wszv2kgk3g
3zlzo2HIP+a8tmGJCkPnK55RTYahWuHz8tbVNPgle7CTdmoY1s46RGRtoIF4
7j59+tlh0PKKP8enToMLdYrqfZ7DEHrFcvGPNw3mJiWEWHHDcODQmJbrEA1i
X402Jb0Yho0Vemb+5Fy692TRXYukYQgrf//r2ncaeBeYzlSnDENgPE/t/hUa
TN0M6niZMwymHfeD+sQwGFnDijSrHYakJfWVVGMMQkoL9HgahiHAcWQw7BQG
O67cXa5qGgbt6KhmqzMYOLaJuSu2D8OeUemwakcMvj41MVnbMwxnA/h7cm5g
gG3N562cIvcz0Zoaf4OBX3dgje/3YWBYDjolpmOw4b6xv8LsMPxS2n9hfxYG
ZqzhsfjFYVg6ZN6jUUDOpTmbmn1WM2Gd5rmvxnUYuNsP35XnZoLPpjP19k0Y
8Avl7R/kYYJHzdyifSsGRr5GmaaCTFjfzaciS8WgQTMgbLc4ExKepgnUfMPA
edJQe0CSCVfqQl5rjGCw+tXG+edbmKDtsMMggZxDj3DkXlwty4RuHrHarTMY
VDZ+0+tXZoJyuuI77T8Y2N78uBz7H7mf8NQB0RUM/sjfLjJRZ0LNNnJq5sBB
87Go7CdNJrjmv5CVIufUYguD1bF6TBA7p5Rdsh6HcJOyUCkDJpzZ/KqhQRgH
W115nrdGTDCy9VCt20DOqXv515WcYEJMqsG38M04YAoB0dpmZHwqC9Jm4ji8
2z4l3GTBhPcXzePXSuJwQqRzU481E1KfNCnBFhy28em8cDjHBAkZxpHqrTj8
WpUvOW7HhDWxoUEq23B4+eOpzNIFJrCW1rv37MDBc3x12r2LTNhgeUBIZCcO
R7/57eS/zARph5h2TTlyLuo6oyDlwYRBDvo9i904lDc35aRfZYLzfSefY/I4
RFUfUFHyIfPx+pzrTnLOdizLyi/2Y4Luk3cusyRWz5NQ177BhG97tJ1y95Bz
87uIkkZ/JlzrlbC1UcSBeLN84GQAEzoSDEx/kPhjvEc5/Q4TogR61G4o4RAc
3X/YIZgJT0IneCZJbPngZPXYfSZ8nstsPa6Mw+671Ue9w5jwQ1jvRhKJ/1z/
r+F3OMn34N+1BIk7PFMN7kUwofap1K015Nyf4rKhhS+KCV/Wz3/ZQmI/+5Dj
z2KYIOk4NruTxAZn5joknzGhT9julwSJJU64mKU/Z4JsSHPTX9Lf1DE6VTGB
CX9+ZLl2kLj6sOGZ4kQmHAiNYESS+Nm+Tz2HX5H1o8sprEliFyWFc41vmKAu
/3EdlYxfc+fLrydSmbAof7DtLIkFpAUc6OlMyFa1Neoi+Q+KBg6dz2SCvgoW
TM6TUCgw7TyWRcYr4e0TQuoXxnV+1CuH5DfPLVZH6nt2ufPK749MkBu8eXWG
zIfSLx12cD4TlLiLrvGSmIOd78lXxATT8rxdwmT+qMPbfzwtYcI7f5973LvI
ub33ma/kJybwMNfeHyfzf7z12k3FKiY0mMu43iTrY2sda6momgnieYvGsttx
+PnZKvBwHROsAk82Vsrg8CJb896JZib0i78J/iSNg3tqNhe9hQlNCQYVklLk
3J0o+eB8OxNsWe1hbhI4sB7+jfCiMOG25aka6iYcPgV7Cv6mMcFFzUqRLYpD
pP9ATDCdCS0uZtI/RXBQu1Lz/GkfE16eKXzQKIjDXcPQN0UsJiQnl2s/WUO+
m+wv26qOM4EtIXN8+2pyrr9mIp4zyYS9nithKeR5bEkRfpb2nayX92mBruT5
Ff3zKuzpEhPCTY8fkvuOgYtwsK7gX7I/fJm5t3sKg0+7nDke/WMCp6b0uNgE
BvaWCreCuUZAjXtqXf0wBu8+lHh4CY4At0lWjC5OvtPrXiiwhUbA/UtCdgkF
A1MiYPTShhEgCvt7Nndi8JNb1/G82AhY6Wd4pJP96pBDp+WJ7SPALJKxYZVi
0CUypqWoMQISG/2dBZ5jsF2+dTHzwAjkBKaaOMRgcA0+Fu/QGgHBfknN1AgM
JNz9VCR1RqB5H9/O78FkP2vg2MFnPAJtBdn7ijwwWLwhzjdmR9o3J3B/PYKB
cdRyo5PDCBw04lEVPoTBq/SB+wMXRmCL7z67vRoYHO1++xe/NAKDFyrrjihg
EKmg9qPBm7RntbSECWOw7atxT1roCLDk5NQK+mjwqFYr93T4CKhePKapgtHg
Z6Zi2NqIEShp2bwlvp0GtT6C6m4xpH//ydBdVTRw5qFEq70cgbL1cXPGr2nw
bq+NQU3eCJw9sND46iwNhMSNt/gWjkC4Atv5ixkN/FcOzsmWjICzxZvlAUMa
GH+RSgsvH4Hk4KTtHRo0mLQfXDnZSOLlY1EfhWmg/OhSSX/vCPDtcjK8V0eF
uKvWj2P6R0DOSBPZf6LCP0sj56PfRkBgr4qdXC55H2/dI5LBIvPFqS11I5EK
3sXTHh4/RkBoQZF/qxcVigav7VzmZoEDfwJvJHmfH9wfEiuuxoKnlgoqv89Q
AL8grvFKnQV8n8ZVpE0o4Bv1kS6znwUFgY/DVYACOSM9ErsPsWD6sozl1l0U
2BKrlKKhz4LE9ZOMPfPdwPkD/2BxlgV5Alv+LMd0Q2u2fNPjeyxoZuRcfvup
Cy7jVZeFQ1kw6O4S8Pp9F3BxWvI9f8AC0cmihLBXXaBtc8c0KZJF6sq9Rja4
C/LWUqnZcSzQOXvrYqxBF8Q6Bww2ZbMg5kX3ndTUTrDd0vl7FZUFHLrW0X15
7SAo7lNcjrGg2kt++/zjdqjZsNH7Wg8Lys7GcU64toMc77mxsa8sOMS9ldNR
th1mZll45xgLbIX87aOet8G9LyuFr1bI+JzSVZe8WuGdn7KnpsIonDqg5VMh
8AXmWh4PeQWPgvslvb35X+sggcvez1x2DA4Yx6e8+ZYPG/qLUznrxyAoLPee
3414tCYw2FLTexySD/9Opl6qRhxZ9rlDIhPQIz/FbChoQ41suuebjRMQ9O9E
Lx+rDUWqminbik3A4LCmwAHxdrS5TPcDJj0BQqkGtUZ325Fy0+73zbsn4OYZ
zR86xh3IduRnxkftCbgcmS/yX28n+rTtwetbrhMgEPXF5JRvN7pzkcN+v8cE
lGmIDGyN6EZ6Wf7Sv65OwLsTG4e/pnajLlX3JI9rExAi+ueOLKUbjYFZokPQ
BCTfyW3BVShok71knH7cBCRM5F18O0pBPom5j0VqJ+CQ0TXDJwY0VLqc+KC2
fgLCXWXPeNjS0LJ9WLBP0wRUcDwPVPOmoQc77K5R2ki+z1xO30ikoaQcPrun
9Amod3apG5mkoYaqi4oiUxMgVtbDqfAIQ2LDkq3CYpNwefpLJrsAR3bH1jbU
SEyCmNMft0f1OErN/FnlLT0JMpbfxvhwHCm6fyno3j4Ji7s4DhQu4ujI3PXE
J0qT4Lfjo/nLQ3TkupZyRVh3EtKDmvUSq+iock84j7DnJOQsrH9AyepBGrTN
7U+9JiGGyha5XtKD8gIyn4j6TgLHoSi5pdoelNreKCF2cxJst71XSOvtQeFX
1yhtvTcJ79o9HvjyM5B54T0zpbhJUFy/X5/pzECt50Q25SZMgoNWpvatqwyk
x5VKqL6cBNFjKl+m/Blo/+kaJ/XkSRjjvk91j2IgqYV/17SyJyHIx8KroZiB
Rg8GJhpVTQKt1Vqg5C8DOQwLnG+tJvmnjZ8S5CYQEZG0w7RuEgyHb20+Ikig
tr7ynFPNkxDpNXth3xYCFdxZqrKiTEKFQd4Ni0ME2rPr0X0GbRLqL/ia3dIl
UHqnuOE5OmkfISd5y5hA8TKa3fZ9k3DzxenC1dYECqi9MXyRNQle18qdNL0J
NOe69t3oGMmHO1lh+w0CeW6Id78yOQl5pzMNhwII5OhcMuf+fRJ6sKLy0Qdk
fAL6n6d/kvaPjmYpPiaQZTF2x2tuEhIYq7YaPiWQPvfcWr8lMn/rflNWJRGo
+mNI29wyuX9S/7s3yQTStBJ9cuPfJPAom2lseEsgxXd7JW5zscErVCDj1gcC
vT1V17/MzQaOO7u3euYTaMtv87Q7vGwQY90I1CgmkLCxj+I9QTYYqitsOlZB
oOSa9fwHhdmg859yWCcikKrmh/EfG9gw9u6bkVwdgVCecXPWJhI3m0sbNRLo
xO6xDEdxNlSnXanY/4VAX9+EhopLkfbmY0M/WgnkvnmHc/cWNghRXI/f6CDQ
n6jqow+3scG6z6WoqYtAj7jttx2RZUOZnCI+RCGQ+J0//xbl2HBgN9O9mUag
d3MJ/XnybHDY8HTvTZxABzw0Ki8rkv4GRUZ+0AnUxKS+lFEh99eSPrSPQaAz
tt63ev5jw6D3kdkjBIFYVEGbGHXyu/d4/eZeAl0zydlvuJ8NQRRrtxISc9UZ
beI4yIbk3Jxk6T4CPTs4+qv0ELm+rHeLKYm3F4RQrwIZj0DJGz0S58tvL9h1
lPSvN9K3msQ6KShmQI/U8yY7+hHpr1PM7mq8AclPZLdPD7m/fcyS6Uljcv1E
+6EpMr7ptQmKa03ZsHv31LvmHgIF3t3Hj06y4buW51VXko/AAmX8ujkbLjNE
jCgYgZI8vZqVT7NBde7a9D8qWZ+sdZksKzLeQn6x2W4CfbZ7H/r6LBsWbbfd
ed9JICPM0PmMHenf7WvP7nYC9RxnHRV0IP05w6BrC4HmtbZx3LlI5i9ClaZV
T6DQwqr+fZdJPTmWVVqqCSS6x7ZyypUN4Z0jm6QqCbRXIv6WnRfJ/9XABV6y
XmqfqNts9CX1M53dl55HIHNeyv72a2R8SNFrVQ6BvBYF5g7dJutP58qvVakE
+nc1m/orkA2n3DXep5P1GzVqUJATROrrVZnKE0+gHPzeVakwUr/Ovj0bIgg0
XrQ4/ieGjI9/OUTBi0A3FeOaC5+xQSZFf1vnZQLxpO/NdIsj41kRylZzJJDc
M0/n3pds6JoUs9xnRqAL3sz+zxlkPZvONsgoE+jHWHClTxZZP5kn7hfJEijI
YWuSQg55HrbwdnJJEujNybM2ifn/y3/cAIPsF31KXVT/ClKvHQfumPYy0JtJ
4cDViA3vdvxcHdLFQBeyLOQe15B8utxzAhsYaFyWfjO5kQ3N9q8uf/rIQPOS
/dJNXSR/GcEkkzsM9JmxtekUlQ15hg36sd4MFBjv6EVgZD3MiG5+TfY/rg0j
tVMEmb+babt+GTGQMB/7kugImQ/9jj+pwgxEa1ISfj1K6mHi1TTFyUAJoVc/
75og87OEFy7M9qAtq2YFtGZIPiXaEwZYD1Jc/J3v+Jv0t7HtLSW2B+mz1i5/
XDcFPFhbkdXaHsSbbvT2gNAUHIBodO0XHbU5RpyoFZkC6xNaLSe+0ZHFV8EU
bPMUCA3QKaqf6ciBtlF/eRu5PmPF/MNlOrpduyPGSGMKdK7PlBwvw5F20EVN
6gHSnnGU908yjji1M4dstaYghu4s6fAQR+GfFPZ56UyBV32Vq6kNjuLy/iPi
jKcgofu+zIc5DOW9Blmm/RRc/juF6cpgaPbW7FpHxymovrFo3MqFIQ2rzMmv
TlOwiIR38YzTUPn69YX0y1NQNvGCJyWPhhqD+o+0+pD7P8zcbHiIhnovBJ4v
CJsCB8HHmqrHqGgL/Ker8nAKDPt/3JmWpSIHyRG5nAjS3jNu2o6LSvaH49Nv
Y6bg1ICV5slaCvquJxX4IpGMX0l7xvcgBXHvKk8M+kj6N5MXfCjZjYxWX73z
N28Kkv+TuqE534UiB7ZfuFVI8tsfnxvX1YWEEx7J+5WR/nyt/c6EdCEp3rNl
l2pJvTLjNzZ1diK1yUXsBE5ip5HJicPtyC5XQ1h6hdR737a85edNqOTsomAX
xzQINeB1oNSEBLk/C9xfPQ3V5QIvsuoaUbXtYZ5xnmk4lWIXNT3VgLbz6f0r
2jANMdZhVbsP1COWs9nUcflp8JLaPFGcWo08Jdy/BFhOg86hcyVVz/NRY4NS
k4rVNMi8SS7gjshDW71n6odspoFDm/MVvvwRdTX5VBuen4agUiENHpSN1K75
l4q6kvY7u4uiN6aihc6wtzl3yfUcYXy7uoVQUGhKcF/2NDjcQ++Twwth3Y21
xo4fyO+8awNKK4og8bKHCCt3GpITjQSSfxZDoYlm2kzRNAzyfu2adCoDlnB3
PSci97s6XP/MthJMXnPwyFOn4ft2pYVsah1sKj0fde0PyZ83Y/12vAPS3jWc
WfpL+gv6V58U1QmqiXu23uWYgep0qga/bBcYBS7khq+ZAYdf+SVcA10QoBvd
/XL9DLzblMu56hwFhjqrRGt3zICYiu8nTzcMPoxJvxQ8TtrX/tN5+70Xwl+F
OvSfINcnTxzScO0DZ/OpnR/NZkCVvzPKj9kHUhUVeaZWM3CqVvDYH+IrPIo+
1xh5YQbKRI1uQ9cAXNZ48YPPfwbYwh+/8U9/g+0hooZrM2bA+um/S7baLFg5
ELCO/m4Gvu+5YBEQxgLG1DAl4/0MLC9MOfzpIOd0q0I7/fwZ0JGuWNzsOAr/
FMx9QytmIDbpbwXl4Rj0dUe/Xk2dgYQiu9WR5BxYFrbgRMVmoKcfZ1VpTUKs
1nn5tJ4ZCF/QMj/9aBJM3ioXHe2fgV+btvR/2M2GzzfbvwSPz4BzeOerja5T
EKe0L9qMPQOD8x7P3MunwHsoyXLbzAzEHAg/Ib9uGnYfdx+o/kWubxDTwPKn
gWsVLT1mYQak+E1m67lIu2ItV4elGSja7x0vaT0DFa5pKqp/ST32/ufGIHnF
b+Wf+/dvBtL///fL8H97WYBK
              "]]}, "Charting`Private`Tag#6"]}}, {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {300, 300/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.772079, 0.431554, 0.102387], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.578, 0.51, 0.85], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.922526, 0.385626, 0.209179], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.455, 0.7, 0.21], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.95, 0.627, 0.1425], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
          "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0},
           "ImageSize" -> {300, 300/GoldenRatio}, "Axes" -> {True, True}, 
          "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
          "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             RGBColor[0.772079, 0.431554, 0.102387], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.578, 0.51, 0.85], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.922526, 0.385626, 0.209179], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.455, 0.7, 0.21], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.95, 0.627, 0.1425], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.24, 0.6, 0.8], 
             AbsoluteThickness[2]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              (Identity[#]& )[
               Part[#, 1]], 
              (Identity[#]& )[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
         "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{{{{}, {}, 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.24, 0.6, 0.8], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJxTTMoPSmViYGAwAWIQ7ZX64uKBl6F2DGDwwX6BqH9bl2SLPYzfyLFZvVNy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          "]]}, "Charting`Private`Tag#1"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.95, 0.627, 0.1425], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwt1H0w1HkcB3CPk3J5SjVbIaLzVEluVereFVciXTaGLnmq1FGXnBvUXdIs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          "]]}, "Charting`Private`Tag#2"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.455, 0.7, 0.21], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJw12Gk4Vd3bAHBTEqWIPEqmkCRJokHuDKmEyNxTVFKoZCoUSQ8KGSoh81BJ
CJFKaqlQyTyfaa99kGTakpJM7/5/eD+d63edve+17rXuNVxb4eSFw658PDw8
4rw8PP/7NXUdbK3+bquf9cbw7cICBQJGq72wtDZcFbv0cXScgq2ZyWll0sag
KZyvQXApONjY/Sxd2gYkhpZJ1X2gwP7U1Js70qeAdGk/9OwGBZzNN4xipP3A
D8xPzC6nIEvyUESUdBikJc7y2yuOQahQ2fpI6QQYqTmwX8ViBBwcs4vHfzwA
ofWpajf8B0FkIfToPtlikNn6eWCb8FdQthob/BBdDoY9DgYf27ng37QDkidf
QX179Mccfg5IlYsRvLwIKkOkeo/Id0NFr1FDs957+K48nqoj2QrvPdLXOI7U
wKLOZX2mM3XwS2X38qLzH+GZzCuLvVaVwDddsGKNcj0ErJ2dvHb8PugsHK+w
ftoAHvsQn+qaR6ghTLupTq0ZNr5rj+Mbr0Ry8cPT+WMtYFbz94ORZy0ansJE
p2Yb5LwYfpSr34AeDL2uF41thwtvQIm83IpE1+ZR/f0dsAp4zdsvdKBb7s9P
Zyl1AbT4zGr0d6Hfewr63UK64aKVhNLyHQxU9WA41T+sGyjXmHcyBgx0XUjd
OiKyGwT3mdxVPsBAoi2F73LvdsOiC/7tqo4MpOL8NIPI64Zddt11vwIYyC64
1MGmpRvSQmMC818w0PNXLxpAoQc2m7WLBmxhIj+tmvJVH3rgfknNn9JVLHRa
Wz7r9qcekPXzXykny0IOOkHRS5t6gDmReStCmYV27dQ+ycfogTmFwynG2izE
Z/hg+dhYD3w32bUu2IqF4qzCPGpXM8C5QH4YR7HQEy9jeT8fBtQRutbnplko
zSdLhPJngNOSHD1lHjaK8Zv97R7MgE1UaFiPIBt5BZQ3Ot9kwKWRnM0aEmyk
e03pysEMBpQXuf+8p8FGNXECXYr1DPhiKrzF/iQb4ac10a0KTPCkksKyatmo
ZVRgRGs9E87GautFfmGjavW9ZgnqTBBsNY0418pGWU9ql9rrMkHOoL9VkcNG
Jx/VxbDNmNDUUG9iMclGA+mf4r75M0H9zum8LAUOGr3VcHeukQmDHT1GWwM4
iPiydNKpnQlD3/JNPYM5qEnY3Ka6hwk3Mib7cq9z0NObjRL/9TEh4/fvxvlb
HOQV1nRPaJoJZoeLQ3yzOWjySkvSSiUWPH0x5ujwmYNmPDpSN1xmwemdj78v
lySQjc6x2xohLOi8n7jzkDSBCnkHIraGscB0dmtb5FoCOSVPee+OZcGJ+iud
48oEele7er9VDgs0okE9QodAN+RPTAbUs8A1M2l1kx2BVnaNmn1azQYp8ai/
bXcJdC77kmGjHBv02h0UriQRqObcgm6bEhs8krpiZVMJdIlfbB1bgw2jqni3
fQ6BGJra05QhG+54KY3ElRAoM/ryQ6mzbAi6ExIp20CgjQaL50+/ZkOCfMDH
kgUClTwpWN9TzYYvNivy+Pkx0pawtDpQxwaGk/S0pSBGet+SH2xsZUPcZPAk
cylGFjFqB8cH2OCicnt/oTRGPgzz5EBxDpTmYldjLYx+G068G5LiwLtt4ef0
t2F0pTBx+N+1HChIT/2qtR2jsBCsr6/KAVVq9WYRfYwSlb2/8ulzIDTZRS7w
AEavvBO0brlzoEVg7UVTZ4z0WduPznly4NNkc87wCYzeG3PCPf04kFT50/DG
KYzqpVQYliEcaP4Ywyxyx4j95kWI5D0OPBkUOfPSFyMeYVZDRjUHBI01f72P
wGhfjsKZUikCdp2QHih6TOebLKpSJ0OA+Me04qAnGMnHzvQzFQj4Gfw926QQ
o7+BnScF1AnABMHTUIxRkVWkk/0eAlzP73icVoHRSt4ftnNuBBi/KUqz/UC3
N8WREPckYIl23URXDUYjI/XtKr4EdM7keVvXYVTX88DKMpiA9Ksfv+/+jFFg
iYN57m36f8tLH3qaMMLO1cYHKgmQVb0ro8LAqMG2iN8JEdBavGfBkYnRy4Mp
731qCIi++UI4koXRHV2/PWlNBKhv4k3r4WC0d7mqHtVLgLSRwOPdvRhpLZKc
4R8kwMh6tsW0DyPZGd7Kf0YJ8Ct/o2jdj9GfAZau4RQB/B5pe2wHMCp4G7f1
ngiGhuzPrnJDGCWXB03kr8DgsXNp56Jhev6euJe+lcQgrvTP+W+0nRKNNg/K
YYgbipZKG8VIzHNKbZc2hi3GfbZfxjGad+n/fmgHBhNXL5HoHxgNObY+PqWP
wbW77vveCYxq9haoxO7H0PK0Wb7oJ0b+a50VuUcxWKhZBRj8xuikpaYd+wQG
p9V8Id20Lf7jjeo+jeHo7SLCbQojle+5Pxq9MGhITD4O/oORuMxF5c8XMSzI
xa3kncZozsLEseYyhtfPlLpDaHeUD1ZXhmFYcx7cL/zFqPrbq8nnkRjKEmp0
SdoFq6NVS2Mx6BgZO5vNYHT92qb4vGQMCtu2vlo1i5Fn2fyHnHQMwQE5w360
HQeap9JzMNQYLvVvoq1p5uOcUIhh57nmZN85jGRCjO7GlWI49kV1M6K9+JnE
x6gKDG6lQbKC8xhN9H/9G/4ag6/sl9P7aRNSLzRCqzG4i0sIRdCuN715MqgW
g2WMPR+i/TzYMdG/HoNi3D3bn7SzStTqfZoxTEo18a5bwOhW38zc+Q4MT9fz
LragHbCqcYs7A4PjWw1XP9ouBzJcTxEYJlh2Mom0LYIu3Hfuw3DzWqB6Ge2d
xXsajwxiECxMvPeFtkqvGK/dKIYAp6f2mLaYZJ+21QSGzqRqnzHas/vK3cym
MGg5NA78oT14OTxt3ywG/8yOsnnaQ3Yb3bJ5SCg538VYoH18fCWfHD8JHe/b
HGZpd0XOpqYtImEi47PmJO2D675uWy1Ewh/e1ye+0a6uamxOEqY9/Gi4k7aO
XYW75DISBo7GNCHahVQG/93lJLy38RR+SFsx8kb6CnES7rQfyAynnazopRsr
QYIdQy7mBG3RKodWESkShE6Pt2+nHWZrcDZSmoSnga99RWhPj21YtFiGBEOJ
0HMMenw9b4pnhsmSUL/N4G0O7X6Fme18CiTsIWbcztBusWk4N6dMx6s5/rmX
nl+TsXLBK6ok2PCKhNynXXUjPeuPGgkJtcUxB2nnVXp2/NxMQn/v4PNsul5k
bOw9vbVImNwV3LyX9p1REKK06XzXLDX8StffVXkxvaEdJLR4SWutoj35arrz
jB4JT74mFefR9eph3Xvhqz4JPtwVEdq0bSPKckkjEtrOT+zeQ9e7+oitSLc5
CeMMX4YcvV5e2pihKEsStJZPOYXQ68nojaGvvjUJHtffezB+YXQkdjProQMJ
FYpaksGTGEVqLinwcyHhpanf8+v0+pW4v+CkepqE5As7zlfQ6zuL97c4240E
zzaTgn6Kjt/We9nIk4TfVjsrNccwGvCrMhUPJOHS9rB1N+j9xIfzbL72Cp2v
WfSyuO/0+tyb/yzwKglumczg24N0fKnE1dz/6P7NW/0Ip/cjo1cXhopjSVDL
zV23id7PsuYUo8wfkNAU1fbcr4fO77S0Pm8eCbFXjwkod2P0omn5RHk+Cfol
mozmToyaMmcdZYpJuNZYLCnZTrdn0LVh+BXdX2oF81gjnW9E5OebzSTMtzjF
D1bT/R0LCdZrI+Fv7nkjA4SRt/2lLeMdJIyU1wQlvMHopqrLfXsmCY/iD15X
q8Sool7PXeUrCWGbq3okyujzYPm4UM1fEnhENpT15mLU9ibqxoE5Or43R0ow
h57fc8qCzQv0eHuRL5Sy6P2q/gg/U4ALyVvb8q3TaIfXzlGiXHBqP2UbkIDR
ipmUiTXruHAtwOQL+z+63vK3eWcrc6HQrr+/LBSjeIcWSkWVCyYNLTsiQjBa
XrFodMsmLrCD792TuULXu7fXt326XDj9t1FihQ9GS7/tZfse5MIqx5kt4vT5
2nCPPDJtzgWvp9d50o/S+4fxFcZVSy7opzoIrzuCkUhOSVekLRd0do03y9ti
JHxsTWumMxeiEpoU+0wxEmofr/3iy4VPhfu+XafPewGUWrwujQvxvhuHNRZj
xNQz3o8zuPAnvdUV0/eL4soRMiWbC0IRd02ieOjxr9gtLp7HBdE4j53N0wQq
LcJ+PM/o/MJchyVH6PtT2rqdnI9csJmP9UlsJtDLwIKaxJ9csNhYInnqDoFi
p6yPHf7NBT7hJusTsQRyuTj7a9k0FxweLf7jEEXQ+ZuvD5/nwpBUk4/udQK5
ulGRvkt64RGRt6XUm0Di9lsPWcr1QtTf2I6kQwQ6q/2aseRgL8ye3Vi8ZTGB
qls6C1+a94JQecO723wEkjw/HnLGkn6ecvccmeMg9FBZpda2F/gMku/dnuSg
lVLxPteO98IT85o1qVwOej19SmTqYi80LTuyuKCSg0SQ6O7+rF5I3BD071s3
Dio4cDLr7W86fnPK1LNyNtJWV9CH6V7wKXJOkS9mo7eiJAvN9ILsi46oyHz6
vtx+TOodTx/YmDXbmGew0eQxx9gPwn0gf1UwJu0GG+n7WAZ9ku0DlYWgWEdH
+vkUfYc2kz7g84/qNKfv87+GV68YSOyDwd3r/eQ2slBC+rePaff7QEs7xbdp
HQttPVQeYp1Gv3981ai/DAt5PzOnqrP7QNBRzaJyGQuNBlxrSi3sg2dN1Z9m
KSb6umjgltX7Pqj8nJcZUMZEnXKlS96M9kHi/LGOgzpM9Nx6H3+CcT/sdznr
eHwjA4XsD88sH+iHjDuqVUNzXUiBY9qTG/4VelSX6ZTEd6CdumEJ0loDcG7/
pVyc0oqOyjZP87YPwHavo4LB4o3oV31Mr1foN3hclRr0CdWiZAEnv8NKg7Cn
zkAlKr4KrSSe5/DVDEKWmNPJvcH5aFFwqM0O7++wR2xf5sPxRODJdyruFR8C
rzH16LztL8EnpThG/P0QxHcecfVsrIM3G28KiXkOQ4fUirAvcy0gZuqjfl10
BJa+zg/pvd4F7E0t7YFVI1A19zLbqoMNJRmg1O80Cm4C7dc0w7lwrFhHbO38
KIimau6VruiHa+HZoewnY1Dxye/iGbtBKBpcmypqRoG62K9PouQw3EwPP05Y
UPBAoHjjlvFhOHV4VPmpFQX9LubhdjwjIFNVVWJuT8F7V921T+RHICru37pb
JynouVSN/U6MgJvO/R/CgRQ0ND0qTu4bAcUwif2LH1Fw0rbmsvTQKMxvD1rW
/ZiCP+9EKlP+jgJjtK/tUQEFdim647IiYxBvX3bMpJQCr1g9A031MVhQO+wb
XkXBirCZi5c8x4DdGpfB307B3wfmard/jsHLiCmX9k4KFJtY3QYCFCTsct6Q
20PBPy4WQb8kKDj4UKPckKDAsoXMd9WhoDKg8XPodwq0XlYmudP9TNy0Lc5q
hIIsODe7JYoC7940GwWKgi4tPoe5FApUzc7h6kkKUo6yfqbR/RDg7XgQP0WB
xl1Zbe9GCsjnuzyO/6UgfpvJ2f10O1UeuZs15ygoNzp8X5GOkyQn8ut/30H+
/3vI/wE08GxS
          "]]}, "Charting`Private`Tag#3"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.922526, 0.385626, 0.209179], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwlmXk01N//x60tki1kK7JlC5UQ8lJUshSiVPMR2aWULS2yZEuFSqVslRaU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          "]]}, "Charting`Private`Tag#4"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.578, 0.51, 0.85], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwtmnk0VP//x22fKCGishWKZCmplJJX1rKTNSGJ0iZJJamsKdmSJElCypJ9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          "]]}, "Charting`Private`Tag#5"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.772079, 0.431554, 0.102387], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwlWnk4Vd/3liRTQipjqaTI9JGUlKXImMpQKESkMmVqUBSFFKESksoUkTIP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          "]]}, "Charting`Private`Tag#6"]}}, {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
       "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
       "ImageSize" -> {300, 300/GoldenRatio}, "Axes" -> {True, True}, 
       "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          RGBColor[0.772079, 0.431554, 0.102387], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.578, 0.51, 0.85], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.922526, 0.385626, 0.209179], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.455, 0.7, 0.21], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.95, 0.627, 0.1425], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.24, 0.6, 0.8], 
          AbsoluteThickness[2]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {}, "GCFlag" -> False|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->300,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0., 0.9999999795918367}, {-1.5, 1.5}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {0, 0}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948261641863297*^9, 3.948261662286827*^9}, 
   3.948261775329072*^9, 3.948262714084161*^9, 3.948273882180984*^9},
 CellLabel->"Out[10]=",ExpressionUUID->"bd7062d2-2ab1-4ceb-a4ac-bd6a0bb3c342"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"underfit", "=", 
  RowBox[{"Show", "[", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{"as", "[", 
         RowBox[{"[", "2", "]"}], "]"}], ".", 
        RowBox[{"polyBasis", "[", 
         RowBox[{"Length", "[", 
          RowBox[{"as", "[", 
           RowBox[{"[", "2", "]"}], "]"}], "]"}], "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
      RowBox[{"PlotRange", "->", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "1.5"}], ",", "1.5"}], "}"}]}], ",", 
      RowBox[{"ImageSize", "->", "200"}]}], "]"}], ",", 
    RowBox[{"ListPlot", "[", 
     RowBox[{"testdata", ",", 
      RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]}]], "Input",
 CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQA2IQnf0xzL4s663jka/zPUH0C5W7H0H0PmvmTyD6avvZ
vEog7XwyPR9Ey55+Ph9Ex6zlWwCiPULtdoNoz28/9oBoSW2RQyDaTUIWTFs9
+fkYRO8SW/kUrN/rzaIqIN0zr3opiBZ8yLqkG0hnvLgPphNeb6qYDqSv/NOt
BNE9BpbpM0D0z2VgWjtGOGUmkK4s100F0TEGYuqzgPTMxw5geuLH6/ZzgPS1
eCYnEH1umtbkeUB6zfZ2MB33pXIpiNY0/LYSRC836NoOouf8fLgTRPPoaewD
0RbP3PaD6E93q5YtAtm79A6YftS45gSI9t3AfxJEq95ZeX0bkDbsrHwAor9+
vvccRB9q9XkBogHSF7/7
  "],
 CellLabel->"In[11]:=",ExpressionUUID->"64b9d7b0-4d42-4971-a779-d26a172dddb6"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwVkn0803kcwC0KeTVPHa+RmNTRA646Pcz1IRVHqi3lvBKSZ6WU16GuqwlJ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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwVkn0803kcwC0KeTVPHa+RmNTRA646Pcz1IRVHqi3lvBKSZ6WU16GuqwlJ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               "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {200, 200/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {200, 200/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwVkn0803kcwC0KeTVPHa+RmNTRA646Pcz1IRVHqi3lvBKSZ6WU16GuqwlJ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           "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {200, 200/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
          PointBox[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->200,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0., 0.9999999795918367}, {-1.5, 1.5}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {0, 0}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948130859956072*^9, 3.948130955099884*^9}, {
   3.948132240485457*^9, 3.948132250365382*^9}, {3.948132417484611*^9, 
   3.9481324376701603`*^9}, 3.94813260750077*^9, {3.948132688345565*^9, 
   3.948132711310553*^9}, 3.9481327881911793`*^9, {3.9481329628023453`*^9, 
   3.94813298206507*^9}, 3.9481331151859083`*^9, 3.948133145872796*^9, 
   3.9481331931940002`*^9, {3.9481332275257883`*^9, 3.948133248903883*^9}, {
   3.948134412219392*^9, 3.948134424786851*^9}, {3.948134704214121*^9, 
   3.9481347225143414`*^9}, 3.9481349678419323`*^9, 3.948135406718172*^9, {
   3.948135659826041*^9, 3.948135691759862*^9}, {3.9481357472695427`*^9, 
   3.948135770136162*^9}, 3.9481358244100657`*^9, 3.948136618752692*^9, 
   3.948137070588904*^9, {3.948137311093301*^9, 3.948137353352693*^9}, 
   3.948137434492918*^9, {3.948137472737005*^9, 3.948137518400502*^9}, 
   3.94813761059442*^9, {3.9481377242665577`*^9, 3.948137728731876*^9}, {
   3.9481377687762547`*^9, 3.948137808158538*^9}, 3.948137839999218*^9, {
   3.948137915198165*^9, 3.948137961831544*^9}, {3.948138010326825*^9, 
   3.9481380852616253`*^9}, {3.948138171771494*^9, 3.948138194121057*^9}, 
   3.9481382402556753`*^9, {3.948138284976859*^9, 3.948138289201264*^9}, 
   3.948138338382262*^9, 3.948138452037212*^9, 3.948138831793432*^9, 
   3.948139774880522*^9, 3.948139820496393*^9, 3.94813985677387*^9, 
   3.948139978928771*^9, 3.948140059803281*^9, {3.948174674816235*^9, 
   3.9481747521108837`*^9}, {3.9481748303781557`*^9, 3.948174848938978*^9}, 
   3.948174890171731*^9, {3.9481966706451263`*^9, 3.948196686422773*^9}, {
   3.948196875236083*^9, 3.948196902019807*^9}, 3.9481969739781933`*^9, 
   3.9481976022397013`*^9, {3.948197800339579*^9, 3.9481978288297443`*^9}, {
   3.9481981796803493`*^9, 3.948198191489132*^9}, 3.9481982842694187`*^9, {
   3.948198363814533*^9, 3.948198377004696*^9}, 3.948198683700901*^9, {
   3.948198849423388*^9, 3.9481988579656677`*^9}, 3.948199156625474*^9, 
   3.948200294200665*^9, {3.948200333776299*^9, 3.9482003592210293`*^9}, 
   3.9482005409998617`*^9, 3.948200612532401*^9, 3.94820077040834*^9, {
   3.948202039827796*^9, 3.948202050853188*^9}, {3.948202160022916*^9, 
   3.948202217691124*^9}, 3.948202534118414*^9, 3.948202566044837*^9, 
   3.9482026765669737`*^9, {3.948202730993918*^9, 3.9482027416889687`*^9}, {
   3.9482027777348948`*^9, 3.948202828596582*^9}, 3.948202901444715*^9, {
   3.948203071508376*^9, 3.948203086602746*^9}, {3.9482031578164377`*^9, 
   3.948203188109548*^9}, 3.94820324138935*^9, 3.9482033583968287`*^9, 
   3.948203561784759*^9, 3.948203809688518*^9, 3.948203900671369*^9, 
   3.948203945907057*^9, {3.948204328724403*^9, 3.9482043509986877`*^9}, 
   3.948204396359221*^9, 3.948208664017036*^9, 3.948212725553124*^9, 
   3.948212756362286*^9, 3.948212945832109*^9, 3.948213404575058*^9, 
   3.948213465945064*^9, {3.9482135365433607`*^9, 3.948213584239078*^9}, {
   3.948213681718358*^9, 3.948213711811696*^9}, {3.948213754575872*^9, 
   3.948213767097454*^9}, 3.948213800757132*^9, 3.948213832286895*^9, 
   3.948213864484755*^9, 3.948213955416234*^9, 3.948214073340837*^9, {
   3.948214141721271*^9, 3.9482141642726307`*^9}, {3.9482142153665943`*^9, 
   3.948214236601804*^9}, 3.948214296091261*^9, {3.948214417436174*^9, 
   3.9482144442260513`*^9}, 3.948214492030055*^9, {3.948214739282619*^9, 
   3.9482147598821497`*^9}, {3.948214845642569*^9, 3.9482148714456873`*^9}, 
   3.9482149877530203`*^9, 3.9482150661617327`*^9, 3.948215245547389*^9, 
   3.948215286314043*^9, {3.948215415279436*^9, 3.9482154433516397`*^9}, 
   3.948215499945406*^9, 3.948215549606299*^9, 3.9482155967996073`*^9, 
   3.9482157093554487`*^9, 3.94821574645588*^9, 3.948215951954851*^9, 
   3.9482166874286633`*^9, 3.948216929600135*^9, 3.948217064444757*^9, {
   3.9482173029676113`*^9, 3.948217310467286*^9}, 3.948218717666687*^9, 
   3.948218828967826*^9, 3.948219450185462*^9, 3.948220233797722*^9, 
   3.948220266647156*^9, 3.948220575535624*^9, 3.9482207005843573`*^9, 
   3.948220984475416*^9, {3.948221746067596*^9, 3.9482217619438553`*^9}, {
   3.948222009167244*^9, 3.948222028298908*^9}, 3.948260864460042*^9, {
   3.948263106647544*^9, 3.9482631721112423`*^9}, 3.948263234899865*^9, 
   3.948273884419683*^9},
 CellLabel->"Out[11]=",ExpressionUUID->"076474d4-f1aa-4668-a0f1-b95f7dd8be21"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"goodfit", "=", 
  RowBox[{"Show", "[", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{"as", "[", 
         RowBox[{"[", "7", "]"}], "]"}], ".", 
        RowBox[{"polyBasis", "[", 
         RowBox[{"Length", "[", 
          RowBox[{"as", "[", 
           RowBox[{"[", "7", "]"}], "]"}], "]"}], "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
      RowBox[{"PlotRange", "->", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "1.5"}], ",", "1.5"}], "}"}]}], ",", 
      RowBox[{"ImageSize", "->", "200"}]}], "]"}], ",", 
    RowBox[{"ListPlot", "[", 
     RowBox[{"testdata", ",", 
      RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]}]], "Input",
 CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQB2IQnf0xzL4s663jka/zPUH0C5W7H0H0PmvmTyD6avvZ
vEog7XwyPR9Ey55+Ph9Ex6zlWwCiPULtdoNoz28/9oBoSW2RQyDaTUIWTFs9
+fkYRO8SW/kUrN/rzaIqIN0zr3opiBZ8yLqkG0hnvLgPphNeb6qYDqSv/NOt
BNE9BpbpM0D0z2VgWjtGOGUmkK4s100F0TEGYuqzgPTMxw5geuLH6/ZzgPS1
eCYnEH1umtbkeUB6zfZ2MB33pXIpiNY0/LYSRC836NoOouf8fLgTRPPoaewD
0RbP3PaD6E93q5YtAtm79A6YftS45gSI9t3AfxJEq95ZeX0bkJa/YfMIRKtp
7nkBouXM74Ppo4+/hm4Hma/lHAaiAefvxtQ=
  "],
 CellLabel->"In[12]:=",ExpressionUUID->"6320da01-8775-4d5d-a006-6ebc2cd45cdf"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwVl3k8VO8XxxElRIQQFVFE1DclVEfWUMhSSknWUiRrJYmylLVSZE0iKVsh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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwVl3k8VO8XxxElRIQQFVFE1DclVEfWUMhSSknWUiRrJYmylLVSZE0iKVsh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               "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {200, 200/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {200, 200/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwVl3k8VO8XxxElRIQQFVFE1DclVEfWUMhSSknWUiRrJYmylLVSZE0iKVsh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           "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {200, 200/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
          PointBox[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8
VfZ3FarfL/h3wl7IeqOw9cbN9pe2aClwHrxtbwWW32W/yuzS6q+OD+w72TIn
sGUesK9aIK9oEf/QXhKs/rD9J/HEVX/mvbJvzf85Lf/nMfuXyzinPzd+bS8G
1n/KnnXu/N9bTF7ZL7vROfdG51n7+uPrpghs/gA174K9h/K26WEqn+wvKvBe
AiJ744SLdRK2b6HmX7af6vV2q+bl1/b+oSBw1f7rUqPrAi2v7aeD7btmf8Z8
RZLipNf2D0DGz71h//Wvy5a1oQ+h9t+y77NV4Pyi/cw+bt/T6H1Pb9tzWPT1
it1+CHXPXftq95tbOfZetr/zSfc+ENm/8HafqGW62X4S2H0P7KsjZRaWntxh
v1YY5KCH9tUv1xl9K7m8H+LeR/aTU9JOLwjdu/8rWPsj+yOlW+vrBB7tFwC7
/7E9gzfbzt8SL/ebeDQD0RP73t7nZ6+kvdkfAfbPU/sps/9L/9Z4vb84Sb0s
Sf2ZfWXl8fLtR97th/jvmb2l9Ox6Wc83+3fXnN5ec/q5/RrHM3Xx697svw72
7wt75/2TW93r3uz/PQ2k4aW97cL7ggLr3u6H+P+VvXzNX1XBfc/3W4GcI/za
/uuLQEFhgzf7IeHx2v6Fj9lGOfsn+ytBxm9/Y5/WHXs9ve/efnBodr61T3fe
7nXF/ub+gyDl0e/sk8/0NLhYXdkPCa/39iK+n3VaSw/th6S2D/YxJx8w+SyZ
aA8A0XlEJQ==
          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8
VfZ3FarfL/h3wl7IeqOw9cbN9pe2aClwHrxtbwWW32W/yuzS6q+OD+w72TIn
sGUesK9aIK9oEf/QXhKs/rD9J/HEVX/mvbJvzf85Lf/nMfuXyzinPzd+bS8G
1n/KnnXu/N9bTF7ZL7vROfdG51n7+uPrpghs/gA174K9h/K26WEqn+wvKvBe
AiJ744SLdRK2b6HmX7af6vV2q+bl1/b+oSBw1f7rUqPrAi2v7aeD7btmf8Z8
RZLipNf2D0DGz71h//Wvy5a1oQ+h9t+y77NV4Pyi/cw+bt/T6H1Pb9tzWPT1
it1+CHXPXftq95tbOfZetr/zSfc+ENm/8HafqGW62X4S2H0P7KsjZRaWntxh
v1YY5KCH9tUv1xl9K7m8H+LeR/aTU9JOLwjdu/8rWPsj+yOlW+vrBB7tFwC7
/7E9gzfbzt8SL/ebeDQD0RP73t7nZ6+kvdkfAfbPU/sps/9L/9Z4vb84Sb0s
Sf2ZfWXl8fLtR97th/jvmb2l9Ox6Wc83+3fXnN5ec/q5/RrHM3Xx697svw72
7wt75/2TW93r3uz/PQ2k4aW97cL7ggLr3u6H+P+VvXzNX1XBfc/3W4GcI/za
/uuLQEFhgzf7IeHx2v6Fj9lGOfsn+ytBxm9/Y5/WHXs9ve/efnBodr61T3fe
7nXF/ub+gyDl0e/sk8/0NLhYXdkPCa/39iK+n3VaSw/th6S2D/YxJx8w+SyZ
aA8A0XlEJQ==
           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->200,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0., 0.9999999795918367}, {-1.5, 1.5}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {0, 0}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948130859956072*^9, 3.948130955099884*^9}, {
   3.948132240485457*^9, 3.948132250365382*^9}, {3.948132417484611*^9, 
   3.9481324376701603`*^9}, 3.94813260750077*^9, {3.948132688345565*^9, 
   3.948132711310553*^9}, 3.9481327881911793`*^9, {3.9481329628023453`*^9, 
   3.94813298206507*^9}, 3.9481331151859083`*^9, 3.948133145872796*^9, 
   3.9481331931940002`*^9, {3.9481332275257883`*^9, 3.948133248903883*^9}, {
   3.948134412219392*^9, 3.948134424786851*^9}, {3.948134704214121*^9, 
   3.9481347225143414`*^9}, 3.9481349678419323`*^9, 3.948135406718172*^9, {
   3.948135659826041*^9, 3.948135691759862*^9}, {3.9481357472695427`*^9, 
   3.948135770136162*^9}, 3.9481358244100657`*^9, 3.948136618752692*^9, 
   3.948137070588904*^9, {3.948137311093301*^9, 3.948137353352693*^9}, 
   3.948137434492918*^9, {3.948137472737005*^9, 3.948137518400502*^9}, 
   3.94813761059442*^9, {3.9481377242665577`*^9, 3.948137728731876*^9}, {
   3.9481377687762547`*^9, 3.948137808158538*^9}, 3.948137839999218*^9, {
   3.948137915198165*^9, 3.948137961831544*^9}, {3.948138010326825*^9, 
   3.9481380852616253`*^9}, {3.948138171771494*^9, 3.948138194121057*^9}, 
   3.9481382402556753`*^9, {3.948138284976859*^9, 3.948138289201264*^9}, 
   3.948138338382262*^9, 3.948138452037212*^9, 3.948138831793432*^9, 
   3.948139774880522*^9, 3.948139820496393*^9, 3.94813985677387*^9, 
   3.948139978928771*^9, 3.948140059803281*^9, {3.948174674816235*^9, 
   3.9481747521108837`*^9}, {3.9481748303781557`*^9, 3.948174848938978*^9}, 
   3.948174890171731*^9, {3.9481966706451263`*^9, 3.948196686422773*^9}, {
   3.948196875236083*^9, 3.948196902019807*^9}, 3.9481969739781933`*^9, 
   3.9481976022397013`*^9, {3.948197800339579*^9, 3.9481978288297443`*^9}, {
   3.9481981796803493`*^9, 3.948198191489132*^9}, 3.9481982842694187`*^9, {
   3.948198363814533*^9, 3.948198377004696*^9}, 3.948198683700901*^9, {
   3.948198849423388*^9, 3.9481988579656677`*^9}, 3.948199156625474*^9, 
   3.948200294200665*^9, {3.948200333776299*^9, 3.9482003592210293`*^9}, 
   3.9482005409998617`*^9, 3.948200612532401*^9, 3.94820077040834*^9, {
   3.948202039827796*^9, 3.948202050853188*^9}, {3.948202160022916*^9, 
   3.948202217691124*^9}, 3.948202534118414*^9, 3.948202566044837*^9, 
   3.9482026765669737`*^9, {3.948202730993918*^9, 3.9482027416889687`*^9}, {
   3.9482027777348948`*^9, 3.948202828596582*^9}, 3.948202901444715*^9, {
   3.948203071508376*^9, 3.948203086602746*^9}, {3.9482031578164377`*^9, 
   3.948203188109548*^9}, 3.94820324138935*^9, 3.9482033583968287`*^9, 
   3.948203561784759*^9, 3.948203809688518*^9, 3.948203900671369*^9, 
   3.948203945907057*^9, {3.948204328724403*^9, 3.9482043509986877`*^9}, 
   3.948204396359221*^9, 3.948208664017036*^9, 3.948212725553124*^9, 
   3.948212756362286*^9, 3.948212945832109*^9, 3.948213404575058*^9, 
   3.948213465945064*^9, {3.9482135365433607`*^9, 3.948213584239078*^9}, {
   3.948213681718358*^9, 3.948213711811696*^9}, {3.948213754575872*^9, 
   3.948213767097454*^9}, 3.948213800757132*^9, 3.948213832286895*^9, 
   3.948213864484755*^9, 3.948213955416234*^9, 3.948214073340837*^9, {
   3.948214141721271*^9, 3.9482141642726307`*^9}, {3.9482142153665943`*^9, 
   3.948214236601804*^9}, 3.948214296091261*^9, {3.948214417436174*^9, 
   3.9482144442260513`*^9}, 3.948214492030055*^9, {3.948214739282619*^9, 
   3.9482147598821497`*^9}, {3.948214845642569*^9, 3.9482148714456873`*^9}, 
   3.9482149877530203`*^9, 3.9482150661617327`*^9, 3.948215245547389*^9, 
   3.948215286314043*^9, {3.948215415279436*^9, 3.9482154433516397`*^9}, 
   3.948215499945406*^9, 3.948215549606299*^9, 3.9482155967996073`*^9, 
   3.9482157093554487`*^9, 3.94821574645588*^9, 3.948215951954851*^9, 
   3.9482166874286633`*^9, 3.948216929600135*^9, 3.948217064444757*^9, {
   3.9482173029676113`*^9, 3.948217310467286*^9}, 3.948218717666687*^9, 
   3.948218828967826*^9, 3.948219450185462*^9, 3.948220233797722*^9, 
   3.948220266647156*^9, 3.948220575535624*^9, 3.9482207005843573`*^9, 
   3.948220984475416*^9, {3.948221746067596*^9, 3.9482217619438553`*^9}, {
   3.948222009167244*^9, 3.948222028298908*^9}, 3.948260864460042*^9, {
   3.948263106647544*^9, 3.948263186399065*^9}, 3.948263239350268*^9, 
   3.9482641144511223`*^9, 3.948273884720285*^9},
 CellLabel->"Out[12]=",ExpressionUUID->"fe02788d-4433-4cdf-9696-f7c15350355e"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"overfit", "=", 
  RowBox[{"Show", "[", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{"as", "[", 
         RowBox[{"[", "40", "]"}], "]"}], ".", 
        RowBox[{"polyBasis", "[", 
         RowBox[{"Length", "[", 
          RowBox[{"as", "[", 
           RowBox[{"[", "40", "]"}], "]"}], "]"}], "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"x", ",", 
        RowBox[{"-", "0.01"}], ",", "1.01"}], "}"}], ",", 
      RowBox[{"PlotRange", "->", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "1.5"}], ",", "1.5"}], "}"}]}], ",", 
      RowBox[{"ImageSize", "->", "200"}]}], "]"}], ",", 
    RowBox[{"ListPlot", "[", 
     RowBox[{"testdata", ",", 
      RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.948263198213752*^9, 3.9482632423275013`*^9}},
 CellLabel->"In[13]:=",ExpressionUUID->"8d4e6581-f6b8-48df-a676-75ca341189cb"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJw91HswXFccB/AVCSuZptUKldqNHfWobEs3YSw6P/XW8WrYQUo2CVKPtDHC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           "]], LineBox[CompressedData["
1:eJwl2nk0lH0UB3BJpSwJabFToSJJUrx+VESLpSTZCYmIFpWQhIRkKQnZQqiQ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           "]], LineBox[CompressedData["
1:eJw91AtME3ccB/A6rcAGikx0uBGRZ93qxjJAAfXXhU3lJQou0gYnOgR0w+Em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           "]], 
          LineBox[{{0.2274357840091331, -1.5}, {
           0.22845711757329445`, -0.6596526294015348}, {
           0.228766670039666, -0.41775287548080087`}, {
           0.22907622250603754`, -0.17968426831066608`}, {
           0.22969532743878066`, 0.28392762457951903`}, {0.23093353730426686`,
            1.154547672253102}, {0.2312430897706384, 1.3592054788023233`}, {
           0.23146199455766062`, 1.5}}], 
          LineBox[{{0.7683643775763283, -1.5}, {
           0.769464052188425, -0.7170458249747753}, {
           0.7697747248936619, -0.4812377947382629}, {
           0.770085397598899, -0.24000932788476348`}, {0.7707067430093733, 
           0.257745458278805}, {0.7719494338303217, 1.3069023774005473`}, {
           0.772163619361177, 1.5}}], 
          LineBox[{{0.17918683361774038`, -1.5}, {0.17940114813221017`, 
           0.19569045677781105`}, {0.17957497589648194`, 1.5}}], 
          LineBox[{{0.20480559282111652`, 1.5}, {0.20497357434840288`, 
           1.141712399199605}, {0.20528933863447268`, 0.4875885806977749}, {
           0.20592086720661232`, -0.7606186862103641}, {
           0.20623663149268212`, -1.3538519740104675`}, {
           0.20631728754849274`, -1.5}}], 
          LineBox[{{0.7937377979987668, 1.5}, {0.7942329801687005, 
           0.4809434609487653}, {0.7951016981464956, -1.5}}], 
          LineBox[{{0.9487174737719553, 1.5}, {0.9487174984074719, -1.5}}], 
          LineBox[{{0.8203995070298541, -1.5}, {0.8207641018186177, 1.5}}], 
          LineBox[{{0.12820123817440757`, -1.5}, {0.12821853871347585`, 
           1.5}}], LineBox[{{0.8974258506462982, 1.5}, {
           0.897428296289234, -1.5}}], 
          LineBox[{{0.8717889238572433, -1.5}, {0.8718056552880726, 1.5}}], 
          LineBox[{{0.1538318985587292, 1.5}, {0.1539218291802326, -1.5}}], 
          LineBox[{{0.9230744860757909, -1.5}, {0.9230747666946868, 1.5}}], 
          LineBox[{{0.0769329321195628, -1.5}, {0.07693324681202197, 1.5}}], 
          LineBox[{{0.025641799832890052`, -1.5}, {0.02564180140268605, 
           1.5}}], LineBox[{{0.8460851422012122, 1.5}, {
           0.8461698400227062, -1.5}}], 
          LineBox[{{0.974356956636989, -1.5}, {0.974356958090271, 1.5}}], 
          LineBox[{{0.10256394552615894`, 1.5}, {
           0.10256665742977616`, -1.5}}], 
          LineBox[{{0.051283937188745694`, 1.5}, {0.0512839638924238, -1.5}}],
           LineBox[{{0.9999950888928224, 1.5}, {0.999995088931057, -1.5}}], 
          LineBox[{{5.127784053150571*^-7, 1.5}, {
           5.128174016368954*^-7, -1.5}}]},
         Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJw91HswXFccB/AVCSuZptUKldqNHfWobEs3YSw6P/XW8WrYQUo2CVKPtDHC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               "]], 
              Line[CompressedData["
1:eJwl2nk0lH0UB3BJpSwJabFToSJJUrx+VESLpSTZCYmIFpWQhIRkKQnZQqiQ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               "]], 
              Line[CompressedData["
1:eJw91AtME3ccB/A6rcAGikx0uBGRZ93qxjJAAfXXhU3lJQou0gYnOgR0w+Em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               "]], 
              Line[{{0.2274357840091331, -1.5}, {
               0.22845711757329445`, -0.6596526294015348}, {
               0.228766670039666, -0.41775287548080087`}, {
               0.22907622250603754`, -0.17968426831066608`}, {
               0.22969532743878066`, 0.28392762457951903`}, {
               0.23093353730426686`, 1.154547672253102}, {0.2312430897706384, 
               1.3592054788023233`}, {0.23146199455766062`, 1.5}}], 
              
              Line[{{0.7683643775763283, -1.5}, {
               0.769464052188425, -0.7170458249747753}, {
               0.7697747248936619, -0.4812377947382629}, {
               0.770085397598899, -0.24000932788476348`}, {0.7707067430093733,
                0.257745458278805}, {0.7719494338303217, 
               1.3069023774005473`}, {0.772163619361177, 1.5}}], 
              
              Line[{{0.17918683361774038`, -1.5}, {0.17940114813221017`, 
               0.19569045677781105`}, {0.17957497589648194`, 1.5}}], 
              
              Line[{{0.20480559282111652`, 1.5}, {0.20497357434840288`, 
               1.141712399199605}, {0.20528933863447268`, 
               0.4875885806977749}, {
               0.20592086720661232`, -0.7606186862103641}, {
               0.20623663149268212`, -1.3538519740104675`}, {
               0.20631728754849274`, -1.5}}], 
              
              Line[{{0.7937377979987668, 1.5}, {0.7942329801687005, 
               0.4809434609487653}, {0.7951016981464956, -1.5}}], 
              Line[{{0.9487174737719553, 1.5}, {0.9487174984074719, -1.5}}], 
              Line[{{0.8203995070298541, -1.5}, {0.8207641018186177, 1.5}}], 
              
              Line[{{0.12820123817440757`, -1.5}, {0.12821853871347585`, 
               1.5}}], 
              Line[{{0.8974258506462982, 1.5}, {0.897428296289234, -1.5}}], 
              Line[{{0.8717889238572433, -1.5}, {0.8718056552880726, 1.5}}], 
              Line[{{0.1538318985587292, 1.5}, {0.1539218291802326, -1.5}}], 
              Line[{{0.9230744860757909, -1.5}, {0.9230747666946868, 1.5}}], 
              Line[{{0.0769329321195628, -1.5}, {0.07693324681202197, 1.5}}], 
              
              
              Line[{{0.025641799832890052`, -1.5}, {0.02564180140268605, 
               1.5}}], 
              Line[{{0.8460851422012122, 1.5}, {0.8461698400227062, -1.5}}], 
              Line[{{0.974356956636989, -1.5}, {0.974356958090271, 1.5}}], 
              
              Line[{{0.10256394552615894`, 1.5}, {
               0.10256665742977616`, -1.5}}], 
              
              Line[{{0.051283937188745694`, 1.5}, {
               0.0512839638924238, -1.5}}], 
              Line[{{0.9999950888928224, 1.5}, {0.999995088931057, -1.5}}], 
              
              Line[{{5.127784053150571*^-7, 1.5}, {
               5.128174016368954*^-7, -1.5}}]}, 
             "Charting`Private`Tag#1"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{-0.00999997918367347, 
             1.0099999791836736`}, {-1.5, 1.5}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {200, 200/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{-0.00999997918367347, 1.0099999791836736`}, {-1.5,
             1.5}}, "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {200, 200/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJw91HswXFccB/AVCSuZptUKldqNHfWobEs3YSw6P/XW8WrYQUo2CVKPtDHC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           "]], 
          Line[CompressedData["
1:eJwl2nk0lH0UB3BJpSwJabFToSJJUrx+VESLpSTZCYmIFpWQhIRkKQnZQqiQ
rbL9xk5kD1lnBoNRmpEtitfc6Z/O53zvvc99lnlmOidxm2tn7VhZWFi2rmZh
Yfy9P3LxfOn3NsQCf+ZRs7nF4bWDDBMEp6hziOWdGNeLYYatFMta5pD8Apko
RWWY2JGQO4estFPzP/0CbyoIm0NhUZcDdWYYVt8i7DSHCMMyZj0LDCcKzmvM
IZrCj31OLO2Meccub55DBs2uXSEcDBOpQbmzyFf4wFvhTQwT2vw9Z1Gu04x3
lgDkgUnHZhEvu8euFnHoV2yun0FHjVQXrKQYFtPf+3gGXU9Z+krfy7CPjbrW
DGpTf3iLTxnqU6SKplHk3ZAqI12Yp6X45DcKqnMM+nqOYfWZBfQb+WzR0T9+
Ecz6mT6FXArW9O23hXr192enkDbd+zenB8y7aMtNR0jd/PPD+3D8hY4SGlJ6
qnJ/wQ+8xtiJhiRl5zeMPYV9Cg5E/EJLDm4SlakMs3zmFviJpj/qjR1+CzmN
794PNLFWLisnB3K8hzyBulOoh+OLwduufqSiPOIlg7ut4N6PD8dQ5r6jW2id
4OGRpVGU6C3Wb98H8yLfeI2iUKF+B8NRyEt9AijIwdjIZ98/yEf16oeRxRtF
rTTWDkau9st2GJ2f5eUUZmfYJ1xszTA6rUlvjeSCfOpPxhA6+qz5xQY+sNbT
c0Po8NB78wdbwZpTq4aQvEKI5Lww9HspFJCRcIt29og05Hzeu8mIX1Tqlpkc
uPXVDxLa4LJGpf0A1EdV5pHQqtIhlpOHITeYvk9C8xwVNQQ1yAcUDEho0iQx
5NBxsICPFAmNZHifzdKB+i89rCTUN2+2dace5N1oiIjaTqgMxBpCLpFZR0R1
UdtSeE0gz+bNIyI8MnflsSXkKa7JRFSo2LmPxQ6s+zmKiN49zJ9xdwSrEp8S
0eu2iOKf16D/QNcTIooRd3tgewtsHBpGRGGueid6PaBecPoFET3CslxnfcDW
M6+JyJubs73OH+rve+UT0U1zajQKZp6vez0ROb2rsygMA6vXkYnIZjFth2wU
1BuZsJCQ8Ul/6utYsA6vBAnpvbyUsz0J/KzjBAlpjWm4h6dB/w0/NxJSPSSm
yv4O8tVsCSQU6ba9TOwDOLmmkYSob/nVDxdC/arUfyT0Qmz9cUcC+L2OA3nl
eq+u8a2G+pTuJDI6/vzfidgvkJfzD5DR1PqpU40dYFNRiyGkc/zH1+HvUM+V
mzS08jxS9P4NgF08RoeQ7u+ec3LjYDn5u8Moo6/SNOwf9PMXfxhBLFvK+tNZ
v8H5PF5NQUYGnyzL1zHMcvWpEQWx1by7NLUJ8gC8TEFW2c+dDHdBvlfGdAwJ
+F6+t1UP3OeyfQI5l1j/kzcEr21ynUBVs6b3dS6CXW7WTCA3J/2HHpfAGtLX
fqBGw8PBfbfBVzTzfiLJpwe4ZjzB4dMsk8ijXvYply/YXfjMJJJSk4hUCwG/
9yVOIl8pjtjERPBDffov9N16jfDnVLAK2kpD8nHL8a2ZsP+lSiUa6ueZTmYt
gFzuhisNKZ6a3CFYBO59GkxDQf5jaQcwuPFeKg0pL/Rl2taDLdK/0dBTxa69
Xk0w70n/BA1RXFqznreDtzew0NF/GQ3yWd1Qf/kqPx09G6rOrekHnyrdRUcT
wgTFQTLUcxYdoqOjxkWFc6NgW8sTdBQdka/M8xPslXmejn41ZhVJT0H/TLQN
HXUrVMdkz4GF+K7RUUV0r4fSP/Dvybt09G6JblLK2snol97zkI6ibNlVjrMz
zLKuNoiOfL6ICDZwga9WhNGRo/zBRQM+qG8Ufk5HhlGneru3gmV7XtCR2l/r
YksRsMyfaDqStrkTS5GEfqLninnrQu85y4BZHaLo6K9squm0HLixNIKORiKL
Ve4pgqcfPKGjpj+tgqxHwJWfAujok+XYYiCC+bP23nSUXL3Uu1ET8trwm3QU
smdzSdRJMF3tCh25h++JE9YHx9w0oyOrOQ3PlPNgq8O6dHTS3Nhsjyn4zDM1
OjpQ6aKaawXzu0Jk6UhIxl/osD3k33YL0tHap7F/sRPY330dHfWY1JV8dYf6
wsN9NFRFGIgz9ATfrqyioaxdM569D8AXRd/R0IMp8f/GQ8Bmt27TkHTQvVK2
1zBPn7CKhnhp4a+C05nz/1X+Qn/Pp3vxZoG7v/j+Qs3i3/4T+wxWyl+cRO6f
5cpUmsGz5v0/UdUYqez6IjjQ5NYEytKdj//D0sUw765dEyg6n/u+z1pwWlUn
FTn5qKDQTWDO74eoiHfrc5whBY4mL44hqxPaBOI5sLF1PAVlRnuYrb8INnQx
paDp8Xfz+y3AYre2UVBgyKb9Dx3ALGnRIyintSdppxeYMJUyjBYkuNR0fcGe
+5yG0fGbqMf9EVi6WmEYdQuk8NaFg5XFa4bQsqnzQ8c0cNXjJTLSfp8gGvkW
HOrdQkYRS63FxTnM+RtSyGhXktI0ZzHYYUmPjFynHMIOEsDbr0mTUdGx2L0W
1eDEx6xkpEtZts1uBpPrikko+pDCqu4OcNxUDAmRA21fsfSAd7fcI6G9PVGH
ZQbBjTYWJOS+p/6bwTB419ujJETwXHTzGAdfz5Be+f5skuV+PQm2MOchoXjX
CK3pebANeZiIxsqryEJL4Ks5rUSkwDfnrbm6G+6nLIGIPG1lBF3YwRbGOURU
U2D6MYoLfH3vyvchz7rQc5gXnJj2nIhMjAm/RreAiRVBRJSSMRXMIwyu8XxA
RD8XdkgflgC7Nt8lIqXTF6qspcBxBTeIyOfVY6ugveAsmWtE9GWy+G/ufnDy
zqtExK8+Gd2rBOZ+7UhEFuFiB9lUwUqxK04nn23dqwHmXLdSP3XA3/m8Flhs
0IWIVP0/rvc+Ba4SXDleQOd4apo+mJJ/h4hapISONp8HqyffJ6Ltd3UH5kzA
R3ofEZHtFx8PMSswy4VwIsoSzBPQsQPf4YwjovmrI7lujmDjqTdEdLRsi17M
NfDa5ZXv85CNJycqboI7pSuJqNPK89HEXXCLXRsRieVmSfLfB/e8Xfl+zzfk
M7N7DCbLrCWhpVTN+Seh4OnT20hIe+72s8JIsKKeLAn1vuxrXBcPFqq5QEKf
BPbUxr8GD3O4ktCzyLvlBzPAvpKPSUj3iUDhpXzm9QkrJaEKH/0E/AUs1yFL
RpmXq9xuz4F1O0WH0KNh3qvc/8BNH9SGkK21tX0q63eG/fzMh5CI6ZJJOxd4
7UDMEArXVT6+bweYU4BvGLk0BKjVyICnzeWH0Untb8rm+8DqGmeGEdvR67LB
R8Bsuf7D6M7BdwKj+uBcJdrK78/cBR5vI7DR2fUjSGGfDsdmM7BDhfgI+iFN
WT56GRzxUH8E1acqLny/Cr5aaz+C0iQeTrteB5tpeo4gSyGx8XgvsOP3lBGk
+tJl6OBDcMjIxxG0VaC0vzEQXLHlywhq22jSthAJHh6YGEHZIemN4S/B3M6L
Iyhk/VyNdAK4kW8DBWmtflZslAluSdpBQZI+5IKf2WBff3kKYvknn+NXAE7z
UKGg/rv3MwWLwcY+mhRUNPs1JZcAVojSpaAXN4QSdGrAYiUrv3du0hxfEhvA
9lPmFKTv/Dnydivzeh22pSBZ6rpQ7i7m/Yi8QkEbLhsFpvaBs5adKYgylOKr
SmZevwduFFRp9duzfRSsuP0mBSX2a9x2/Mm8Xo23KMjLJMxt1W9waIw7BZl0
DThFz4MzH634kKGs/b4l8N+olXr+1ntWNat74H433KCgj7qU08fWgwOVV45n
0qh/mMANFulZ2WdJp3jnf/zgwvyVfZNqd/IWbQNHNa6cz3HNsCUlUbD8LksK
GqtYoObtACvWGFNQsLpdl/xusMMHAwqSK2uufL8PPPxDh4LaVI7k7D4I/uKl
QUG3PqfEvTkCdryiTEEl+XdvJWmCyfYr98tSYdha5BR4g9/K9wtrjq5urD7Y
m5ebgnTeSko9NwXzxM4wnr9QPl5r5n5JYyMoLG1+OdQenCnfO4I6k752B7qB
bdnwCLKNvh3k+aiH+T71HUHe/g0/L+WBA4iLw0hitVIP8RM434w6jKp9EmvM
y8CuFd3DiNPzVsKFenCHZcEwenld1ODUIHjhmsswyre8ka/A0cvwWN3QELrQ
35+YzQN22dA+hBZMtJ/sFQD73a4YQhpGwva7xMGT/Su/z5tO127ZfggsxHtp
CI0fFry36hK4bj2NjH4kJ0mKOYB1Q4fIiMYh3ajmDOY81kVGs/2Kwp63wWKH
MRmx+eri2WDw2gPhZCT25cHqH/lg588qZLTjAPu7DUVgzbv7yUgqLtRQBoPN
taXISM4lNtW+Hpy0jo+MVHkLTpD6wRzvqSv//jEZC+5c2wfX68oLEjKrdFGc
4QCH3w0hIcu9M318m8BSFg9IyH5plZyBIDj9uSMJ3UwWbGnYB1bRO0JCdziS
71AVwReiVt6v925Ki68/Au6MECMhX62D17WOg3/HrSGhMKouf7kxOPdpAxE9
O/etZNAc/FawhIhelJjaLdmAs9TfEVF8qEOhijNYSSd45d+TCr7GhQ/AgqzH
iSgnln3VtwCGfe6v3k9EeWxPM34Hg988Eiaios7YBfkoqJ8SoQ6iWo+CuLeZ
4O/NKoPIYqPxa+Uc8L/E9YNo+vVCRnUB2HpP5wAS+4o+DhLAN22cBpCH6JdW
vi6Y37U/oB/x5F/tTuyDfDZJpx+90d44KEsG91Zx9KMON8MfJ36Ct8uE9CG5
qoG1nqv7Gf3EXK9eVGX8gGv9evDGf0q9yPSnJH8UN8PqXny/elCgwBXxnG1g
5+KVzxHZ4bfK8D6GrQKzpb6j51zsbqfNGGaJuRHeifYmZ97+bs0wsVRQpRNV
KJ3xtr/MsJia6PA3NGkZEexzHeZFOSp+Q9q5Qmn5gQwTtvk1t6O/Rvt7hQpg
3gWFvy0oYqKdlFEE9mBPbkEyPu5jSgQwFtNuQUYZxTP6DWDK+93NKGdRk8ef
BPba69SILiWaaP7kGoD3gZJSLTIR28YuxAe+fPh1DdJP7PpycitY15S3Bqkl
GuqnS4A/Gs1Voa2JuqaXDoHFQgYqELcYl0iEKrhu3KICrUlsIBI0wJ+4yeVo
KkHbXuQ0OGyORkCNCUfdvlsx+9Xty1CF6CpFdnswQfZFKfqcgGeVnMBXM5tK
UFqCquezW2D1fINi9Ep0Ua3SA8x/7VURepbwedXUfTCNj/YZPUhQeqQXBN5r
m/kJ3RGd0fF+Cpbex/sJuSTkcb5/BnaVfPAR2Yleb+59CT5+eq4QmSXIR2xI
YM7LvVmIzor+MjycAma3/FOAdBLeb3HIAM+f9y9ASgm7X1Xngdn25+WjvaLj
ltOfwCEC5/ORZMIbCckycJXOUh7aLmo/YlAJtq3JykM8CTvSfeqY5xdgn4fW
iQ45Zn9l+sHOPLQUnyQ70Mbc//1ELpoWsaJxdoP7/n3KRRPxInkq/WBtuye5
iCzSf8uRDD7d7pCLuuNjlV+OgocPnspFzSImi7U/wEJ3FXNRTfzWslk683wC
duSiEpEun51z4PQTgrkoL/75McO/YJekrbkoU8Rw7cNVgwxH3BHKRYnxvPUf
1oITs3floiiR1mAiB1hd6lAuehL/VHfjJrBa2Zlc5Ceiu0lNAJxs4JiLPOI5
O64KgrNKQnKRq0hDVKwYmO17fi66HP/44pedYBdvci6yENEW+rMbLPJwcx4y
jF87KCUPziw+k4dOilQnGR0ECywG5SGN+Ie2/kfALbxf85BcPAuVfJxZv94y
H+0Uwe82nQTb+GXlI6F4r2vqeuA6btYCtD5+YfrVRebx7uUXoBqRbxm5FmAH
jk2FyC8h26L2EnhXtmshWkq0raM5gzsNlT+iqddNscd8wfwk8ifUk5F8dDwT
zDHqWoJe7Paa+5cN5tUbKkGGby+84y0Ae3GcL0VN7zgFVDH4tf/Blc9Ltvt4
aDuYO3EIo/vyBis/l8EvKTsISPXDnnOf+hlWv//eiIAKc4klpFHIw9sKCOjG
gWK32R+QP58mE5B8/vNdHFMME3J0uctRZsHJMMW/DCd+ULIsR4qxEckpLETG
+80m2K8cRfQu/5VbzbBYU+qbckQTdL7weQ3kjxzrypGeWc+HY+wMJ6aUUcpR
VtwJzqYNDKs3PGKtQJz9+fbGXJArvhOsQI7CEuXkjTDvE69CBao3fyrozMsw
oTlZswJJx/+9NcdPhO/P40YVKGDgSsuDLQz7sJIuVaBhka7dnNsZJgZYu1Sg
Y5bH/aOEIPfKuVWBkhM+DIqJQv/ip7sViIUocuStOOxDtveoQBZiIc8O7gCP
p92uQKVWfybxLjh+jL1bBRJKstc5KQPzbJ5drkAepPbXHXsgDxM1qUDd4hpL
FnIw32xeuwIdsskyHpeHeupGxQoUlSyYd+MA2NB45XynyYFcSweh/m3VUjk6
Kzl7OVAZ/Ed7oBx9uHSpglcFfLLnczniSWkRevUf9Ge7hJcjl+H/bkupQ67+
z7YcNe542/rhKFjcW7Ec7bHbuldVE3yfukxAQan+ATUnmNdPtZaAxkamiPon
wd+vBRFQqv3X53Z6MN/gKhsBfS3RFpU6C7nSsysYzfBWpY8ZguOCCGVIExcV
O5mA/yoalCLnzUqasubMfeaCStBzpw9Nk5bgNp7iYjSyJZ3kZgeOCVz6jLhc
JJ0OOIAruHg/o4NV8dPTjmB9ZaFPyN/1+bo7ruBdP/kL0c56X1nve+CakNgP
6IzoUiHyBk/2X85Bt27dVV/1AHyT1TgLVYu7nvMLAOdsOZyB7DzM7waFM/00
Mg6l7lGujnoDdj3XFIm/PsjTNc4Et2gdiMEzXXLd294z8+5ziVjTb+dEXC74
TmlfGh7p4930uhRs4SiQi3eG/jTLbmd6XTjGZ4YdKK6d4HGveAK+dWT4msJ3
8PzNG+W4mtLjWzAALn2+rRLbobr04nHwUX2DGpxKS56uXQY/uKDZiL1V95qZ
sJIYDlYZb8RGgQWVP9jAc2WPv+K1YnURmzaATSQITXjAyWDhNScJnv/K8824
8GOPtdJGyL0DRpuxvd5PeVN+yH9432/BarHu0T8FwCf+q2jBAqPLy/e3gUc7
WFtxjTdvc4oI9NeYe7Xi+C+xSofEIdc69LEVuwvsjK+XBEcWTbbiXVmHnCel
oV71uVEbXvpD6PDZA7nz94A23Kl5UpVPjmF1vqT8NpwV3v46VR5y4eHBNhzQ
b8ahfABy8Vj2dmwhQ7n+5SDDYuewXDtWunWtx0yZYWLYybPtmLt8XuPXEeh3
OHSjHY9y+mY8+A/q1z4Ib8cEY45N/Oqwj77k+3YcnfLsTtpRhhM7t9e0Y1ea
MFFZE3KibV871lZ9c6LhBOTWy7/asVigfLb5SZjPNs7SgefbPwvQTsN8WfGN
HbhF9Ji3rx70/3qzvQOnOzWO8J+FfJu3ZAf2+Xj+zBtDhgkKqTId2Hj1YP7h
CzDPQ1S2A8vrOQg1XoR87NeK2WPpDy3MYJ7C9r0dmEjxmKBZgIuTpTrwJwW2
cw+toT41VKwDh3k/KdpsC/NahgQ6sMMXAYl0e3Bt+oYOrC6Q+PjIFej/NrzY
jrfayNAbncAzCdR2THufa2zpAvVd5M52XPdHhUB3hby/kNCOEzWrpfxugEV3
pbfjO+G6TwXcweYqT9qxjIy1hco96N8foN+OWW9Rq796gd92rNyvHsINWSsf
cMfChnYcZBzw188f+rnXlbZhm5SNtlsCmeaIbMNHaNENGUHgFInLbZj66G1M
01PwUtP6NlzRrshqHQG2D+huxTGiZVd+PwO/jkptxSc/tihvjQF/4VRpxZmU
mU7rFHDS3fMt+LT2E+c9b8CurPwt+GfGDraZDHBWYXIzlnc+tz8wG1wxEN6E
C3/nBGcVgaffmzfiSpar6ostYPZ5Yi22tVndVdUOTjxhWIvXVsU4h3aCFTfV
1+CTj+pjxPvAfps+VeMfY1b7JwbAV2sVqvGTk/O1+SSwz0x2FW7hkpo5McrM
83Mr8fVrZcGbqMx55cqVmK/1vETvD3DJfxUV2OiZn57LFHO+O7Ecz88IUg7N
MPdNv1WOX17I81w1D7Y6tLEc920nZzz7x3zedfQJ2NvzrroFC5lhnjs0jEUH
eLqkVoOtGk9iTEDpzvQ14Oj57DJsk4TYitnBRGuxMsy2uivGj4OZO8aV4lRb
l/263GCx6ztKsVbNmrotm5h5x6cSPCb1yoLEB2afuFiCgx4rzmQKgJU52Evw
nomG4JvbwNKPKotx4+lLEmpC4MD3IcXYJWvh0zpRsHr9pWLMwxOh1yrO3Fdc
pxjnuslQYnaA9f+oFmPDdoKnrRRYPgwV4xlFYz653UyLGxTjqKhfGXN7mfsO
uRVj5fkA9fJ9YBp7cjHuuSjSFaTAzMtJxdizuMDZ8CDzeAf3l2AR4TNsIsrg
sOCwEoy9h2NGjzA9vFyCrYj39n/4D0wwu1+KWY/y1XmoM+dzbCzDKa8zLY4f
Y+67ZuX6aq45OsOlxbwfFywxpth/D+7SBt9Zw0PAgXWuEkmnwGMRdwh49272
z4664E/nxgm4IThBT9EAnKhpU4659Zo8a42YedrVCsz34Qan30Xm+ZxarMBb
+bbFqZsxr39+eCUW77pU/NkanB77rQrvOrz+lLst837P+Vbj3bFZPQqXmXnH
oRqsaPnnz9urzPPN+1iLD5fHP3a4xry/vr51WE3y+Lad18F1Vwzr8YnRUOX4
28znYS1XAza5tuN2mC94PvhrE7ZsrV97xp+5/8mvzdj2wLWo9YHM+XeutGDn
uc8Fvk/AV+Nut2Kf+3rTN6PBQpvz2vGbpx5uF7OY/VKh3fgdXXSVwAfm+b+Q
/45zzlWHteUx5+3t+I6LtvDknPoM/qsq0oubElIn/6sCsxwo6sfT2S1OEj3g
GKO7JPxnk/viQB/4eEgDCS/dEAyOHQTbqwqT8Tpl+0z+EbBLbRkZbycsjq2l
gT0+zA9h9ZZd9hNrhuD6/zhMwTNSPe132MFfGm5TcOb9JxprOcADNvkUzL9v
WkicB0x4KjOK6wPeBGXxghN5bUax94DJvMpmsIjUy1E8+qS83Wg7WHWIdQzH
jdzUGBYCs987OIb1/5POdhMFV/nZj+GiH6FBITvAbW2VY/ja8aPz26TA+Rto
Y3hH3IzdGxlwYOz2cRx6ykyjQg7Mme84jo+93pittx/cpxA2jucXKoT6D4Cp
83nj2CZTZn5OGXxEd3Ycb2Htt/NXAdt081Nx48Wwdl418LuE/VR8cP1cluwx
Zj/RjoqpVplCxZrg3IteVBz/yTxIWxtswRVJxed4Ns1/Owl+9jeNitkdquwu
nQF7Sn+m4lJ8u52mB+6MqKfi61v2aHifZV7P/7qpWOraQBbHefDYnhEq7qsJ
F3p5AexnRaPicBHNoF0mYLnBP1Ss5T4/l2cG5n+3agIvfn1rp2EJ7mlYN4Fz
dlq2N1mDk49xTmA7L14NM1vw360bJ/D2b9VZ4/ZMG/BM4Ka9d4VuXwErzKzk
D/32BrFdZZ7Peu4JrNw3OBfuAo6I2jCBfxyItBN1Yz4/KWsmcFKwVvu7G8x9
jyxTsdHQH/Uj7uAgmzkq5lB5n1V7B2y4c5KKCRFWQufvgX1Chqj4FpUviOwF
5k7uouLdR2vnrvmAzVy/UPHgSw+7f77gvawlVPyMLtse5A+OsXlHxf8Sn2Wl
BoHjSh9Tce78CaEDT8C7Wtyp2F5/8THhKViNZEPFLcvWdr3PwCYKylTsf2Fz
u8MLcE2IOBUfya5Tn30JvrN9AxWnWOwT2pQA3r3u+zi+Xfq3TSsDrF14bRzP
7i67xvGOef/IBuP4ZvR9zpYscGb6gXHseoNV62I+c/8zs2PYUYb9sxMGs4h4
jOGxqPrz8hVgFyXTMWzPFjw1XQWO9lMdw5cGufZ6fwFv5WEZw2bP+RLCvoEb
/4WM4h7Wbyrnu8G+A26j+KJrVPe2XrBryIVRbHRqG+9rInjDi52juONTT9bl
IbCjAPcoPrsr7tReCvh4+hwF660S9S+YYObHmyi4yYUo7jHJ/Ly5FFPw6b6k
MjU6830xlkHBX3Quma6eZt6/ypcUrP1xx3ztLLhkQzAF1+ygPAv5A97+1YuC
NSPe7Df4C6YIXKfgqmWHps3LzOdv+jIFH3Xe7dSzaphhd1dLCib0TKxLYAMH
RBlTMNJ+n3JpHdjH9RwFlxW4aEhvALes06dgVUn5gR+cYHk7XQouCqN7fNgI
jg9bsfJS7hZ3XrBh+Ep9odPN/CObwW3OhhR88PtBg+Ut4Jo9JhScrzX3s3I7
WKTFmoIV8j8FBQqDqRZOFJwj7iF1Rgx8s9edguWeqlRtkgQraPtR8Lu/f606
dzLnpUVS8B7Hsn8x0uDJuZSV923X/RjLPcz9VD5RsLSmxqEdcmCy61cKTstl
7RiTZ9Y/H6bgHWJVru8PgAXS/1Fw8hN/rutK4J7XW0ex+KJWptJhcKPfwVGc
6MB+YlEFnKxpOIpFOuuHsBpYm3hzFG//cFpY5ziYM6B4FEeLcBdxnQBH+5BG
8ZaQZqM2Heb+B9aPYf7LZ8NM9cC5L83HMJew8WoXE3Ah57ZxrOoj5b3aHHxU
QHscOw7NzkdbMucdvzOOazKeT1bagoW+945jH6X279uugV20sqh4Wk83p/oh
eKzJ7QeWyBPeYxoAflf+9gc2EPiZSgsEq34Z+YGz+oJjBUPBTY0Xf+LLV+oD
3KLB6eZoEkc1Rq9aFwsOq7k9iav2OXjGvQKfSsqexGKza6/XJoNTjYV/4R7f
4+bC78FujyZ/YXYKX3duNviPIA8NH9IZOqudy7CPvYk0DT/b6Kt94yO4mmRE
wxXXDSrZi8DrtzjTMP2bmFp8CfTvDPalYd04fKC+HKy84S0Ney6HZllUMZ8/
1jIafmtjITNdAw7d3ELDPdWyKY/rwdWHSTTMLvNPRLQR5nNcptOwUkjjy/wm
sPJzFjq2/RXLf7IV6u1LuOk44qzT08F2ML1DkI7LC45suNUJDumSomPa1g3+
G75Dv1ypAh2LeH5fTuiFXPK+Kh2fHkz3ODgA3rhFk449jt6Z+UKE+p/ep+k4
PfWEq9UQ5LwfztJxF/uWiZkR8P70C3S89irFLngM6q0tTelYsbmAKDYBFm0z
p2MbBX/Twp9gnb8WdBz+3LDzFI25T8+KCfOSBqQp8EOHlfpJ098N7jMw/3qK
CR0L4QotznnIw4KN6PiURER50gJzP0GDlX39rVUP/QOzGZ5c2XdM/mPjMrhD
4SgdHznNvec86wjDv6jKdNyQPRHfzwZ+aSRHx2Z89bz26xhmOeQusXJ897SA
yfXg6JOb6din5+GCOyfUr/m2lo551axdlrnBGlvmaPjgGiEjHn7w1cZ2Gq5x
+FMfLQBW1CTQsHFj53/i28BuDxjPQ2T4TgURmC9z3puGuedcXhaJgdVn7Wg4
weQ01zFJMKvL6ZXnTXzdzDlp6J/5s5mGDf2HHfp2Q77+0NQvPDJW3mcrC543
K1x5nnM8q24pgAfDlH9hPbWpyBeqYLfAXZOYmNS8Tgwx+xv6f+Lra97fS9cA
xwdE/lz5PF2+9FkL3FC58AP3mfQr9OozvVQ0gV3KitIunQNPv3WYwMvi0dt/
nAc/it08gSXGz7L+M4F9XfKcqfjK7bpWETvI5VlWft8t9KRqvrnM7J+pGsMh
ag8/73ME54m4juGcNWpJ6tegP+hx7SiejcxztbkL3nTBm4ID58KGqfeg/sxN
OQreZupifMMbfL5hcASrSsio+z0EO7zTGsFN/mvzOQPACnf/DmOr8SGp54Ew
b8+a/GH8MCd+Y9oTcPWA9DDm5/d8KBcG9T+cKUM47fbFucIIsCJKG8Jf1PgH
a19AfYWU7BA2S6af1Y8Bf/OaJuOfa5pruuOgPihy5fc5z9fHWeNJkP+5ZUrG
Tlq3DDJSwKzNu8m4BltNO7yBegn6PxIWP3z6hXQm8/otd5CwZ+6hI2PvIP8t
mEPCXXsk+99kg59ffkrCCqncPpdzwUurbpBwqMiChFQB+Nl6UxIefzFSTfkI
to49QcLHN7U6pBWBV7crk3BiUAmHfSkcL+aLHAkvrk7P2kkAl8XIkLCRV6TB
SAXYxmTFH2a9p1Oqof+byEo9p6vjC9s6yF8vHiLhy+Pnj+xoYN4/1pXjVdho
9A99Bd8+trKPcN9en9ctYNvGmyR85/xWyUvtMM88I5KE25tW10h0gm2HP5Kw
nPYvB3I38/n1J5Hw4/IejuRe8IUIHjIePlKTZT0AbubWJGP1/A8G4iSYr//X
m4xjZV9NE4eYnzeTlfsxmxb4IpECudHO1UP4rNjNI1bjYD/jM0OYne+Uz+Ak
eEMnfQhfClGSTKBD//L608O4bI1EjcU05LJ33w7jm/PzHAN/IJ8ovzuCm92G
s179BRPcxkbw7olmA/NlqNdbb0bBxP60F31sFEa+74HBKD5TaSjZu5FhQuSa
6+M4XVW9JoaXAu9LdzYqZivcc8VkM+ReuTFUXJTOmv19O7i1tXUC7wrNOdK9
E+ad5bSbxA/WxfW/kIb+Vh2eX7jP55HPhT3gtcmlv3DEDYuaTsb/s2FJ1GgN
peElY86z31QgjyqbWXm/SzpcaTNgWD1QBE9jcoQ11caQYTENuY0zeHKVqdNv
I4aJxuIWM5iNeMaZ3wzy/bvnZ/BGvROTKRYMW/1aPDqLt5epXztoDccTlQmZ
xfJxB9yM7GH/l1zb5rAKh+wUxQGOP+1jNoe1PHbduO0EXqp9NYdNntyLCL4G
58d4xeH/ARGXpVU=
           "]], 
          Line[CompressedData["
1:eJw91AtME3ccB/A6rcAGikx0uBGRZ93qxjJAAfXXhU3lJQou0gYnOgR0w+Em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           "]], 
          
          Line[{{0.2274357840091331, -1.5}, {
           0.22845711757329445`, -0.6596526294015348}, {
           0.228766670039666, -0.41775287548080087`}, {
           0.22907622250603754`, -0.17968426831066608`}, {
           0.22969532743878066`, 0.28392762457951903`}, {0.23093353730426686`,
            1.154547672253102}, {0.2312430897706384, 1.3592054788023233`}, {
           0.23146199455766062`, 1.5}}], 
          
          Line[{{0.7683643775763283, -1.5}, {
           0.769464052188425, -0.7170458249747753}, {
           0.7697747248936619, -0.4812377947382629}, {
           0.770085397598899, -0.24000932788476348`}, {0.7707067430093733, 
           0.257745458278805}, {0.7719494338303217, 1.3069023774005473`}, {
           0.772163619361177, 1.5}}], 
          
          Line[{{0.17918683361774038`, -1.5}, {0.17940114813221017`, 
           0.19569045677781105`}, {0.17957497589648194`, 1.5}}], 
          
          Line[{{0.20480559282111652`, 1.5}, {0.20497357434840288`, 
           1.141712399199605}, {0.20528933863447268`, 0.4875885806977749}, {
           0.20592086720661232`, -0.7606186862103641}, {
           0.20623663149268212`, -1.3538519740104675`}, {
           0.20631728754849274`, -1.5}}], 
          
          Line[{{0.7937377979987668, 1.5}, {0.7942329801687005, 
           0.4809434609487653}, {0.7951016981464956, -1.5}}], 
          Line[{{0.9487174737719553, 1.5}, {0.9487174984074719, -1.5}}], 
          Line[{{0.8203995070298541, -1.5}, {0.8207641018186177, 1.5}}], 
          Line[{{0.12820123817440757`, -1.5}, {0.12821853871347585`, 1.5}}], 
          Line[{{0.8974258506462982, 1.5}, {0.897428296289234, -1.5}}], 
          Line[{{0.8717889238572433, -1.5}, {0.8718056552880726, 1.5}}], 
          Line[{{0.1538318985587292, 1.5}, {0.1539218291802326, -1.5}}], 
          Line[{{0.9230744860757909, -1.5}, {0.9230747666946868, 1.5}}], 
          Line[{{0.0769329321195628, -1.5}, {0.07693324681202197, 1.5}}], 
          Line[{{0.025641799832890052`, -1.5}, {0.02564180140268605, 1.5}}], 
          Line[{{0.8460851422012122, 1.5}, {0.8461698400227062, -1.5}}], 
          Line[{{0.974356956636989, -1.5}, {0.974356958090271, 1.5}}], 
          Line[{{0.10256394552615894`, 1.5}, {0.10256665742977616`, -1.5}}], 
          Line[{{0.051283937188745694`, 1.5}, {0.0512839638924238, -1.5}}], 
          Line[{{0.9999950888928224, 1.5}, {0.999995088931057, -1.5}}], 
          
          Line[{{5.127784053150571*^-7, 1.5}, {
           5.128174016368954*^-7, -1.5}}]}, 
         "Charting`Private`Tag#1"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{-0.00999997918367347, 1.0099999791836736`}, {-1.5, 
         1.5}}, "Frame" -> {{False, False}, {False, False}}, 
        "AxesOrigin" -> {0, 0}, "ImageSize" -> {200, 200/GoldenRatio}, 
        "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
        GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
          PointBox[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8
VfZ3FarfL/h3wl7IeqOw9cbN9pe2aClwHrxtbwWW32W/yuzS6q+OD+w72TIn
sGUesK9aIK9oEf/QXhKs/rD9J/HEVX/mvbJvzf85Lf/nMfuXyzinPzd+bS8G
1n/KnnXu/N9bTF7ZL7vROfdG51n7+uPrpghs/gA174K9h/K26WEqn+wvKvBe
AiJ744SLdRK2b6HmX7af6vV2q+bl1/b+oSBw1f7rUqPrAi2v7aeD7btmf8Z8
RZLipNf2D0DGz71h//Wvy5a1oQ+h9t+y77NV4Pyi/cw+bt/T6H1Pb9tzWPT1
it1+CHXPXftq95tbOfZetr/zSfc+ENm/8HafqGW62X4S2H0P7KsjZRaWntxh
v1YY5KCH9tUv1xl9K7m8H+LeR/aTU9JOLwjdu/8rWPsj+yOlW+vrBB7tFwC7
/7E9gzfbzt8SL/ebeDQD0RP73t7nZ6+kvdkfAfbPU/sps/9L/9Z4vb84Sb0s
Sf2ZfWXl8fLtR97th/jvmb2l9Ox6Wc83+3fXnN5ec/q5/RrHM3Xx697svw72
7wt75/2TW93r3uz/PQ2k4aW97cL7ggLr3u6H+P+VvXzNX1XBfc/3W4GcI/za
/uuLQEFhgzf7IeHx2v6Fj9lGOfsn+ytBxm9/Y5/WHXs9ve/efnBodr61T3fe
7nXF/ub+gyDl0e/sk8/0NLhYXdkPCa/39iK+n3VaSw/th6S2D/YxJx8w+SyZ
aA8A0XlEJQ==
          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->200,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-0.00999997918367347, 1.0099999791836736`}, {-1.5, 1.5}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {0, 0}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948263202100992*^9, 3.9482632430956593`*^9}, 
   3.9482738852959003`*^9},
 CellLabel->"Out[13]=",ExpressionUUID->"e068285f-6324-4bb0-9a30-479c6b4173d2"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Length", "[", 
  RowBox[{"as", "[", 
   RowBox[{"[", 
    RowBox[{"-", "31"}], "]"}], "]"}], "]"}]], "Input",
 CellChangeTimes->{{3.948274025275671*^9, 3.948274142941441*^9}},
 CellLabel->"In[49]:=",ExpressionUUID->"40855202-d9c2-46f6-ae45-c3c37ee795d0"],

Cell[BoxData["80"], "Output",
 CellChangeTimes->{{3.948274026529709*^9, 3.948274143213243*^9}},
 CellLabel->"Out[49]=",ExpressionUUID->"a961f55f-4340-44b4-8a5e-96fef706b7c0"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"overparamfit", "=", 
  RowBox[{"Show", "[", 
   RowBox[{
    RowBox[{"Plot", "[", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{"as", "[", 
         RowBox[{"[", 
          RowBox[{"-", "31"}], "]"}], "]"}], ".", 
        RowBox[{"polyBasis", "[", 
         RowBox[{"Length", "[", 
          RowBox[{"as", "[", 
           RowBox[{"[", 
            RowBox[{"-", "31"}], "]"}], "]"}], "]"}], "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
      RowBox[{"PlotRange", "->", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "1.5"}], ",", "1.5"}], "}"}]}], ",", 
      RowBox[{"ImageSize", "->", "200"}]}], "]"}], ",", 
    RowBox[{"ListPlot", "[", 
     RowBox[{"testdata", ",", 
      RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.94827391272864*^9, 3.948273951753463*^9}, {
  3.948274065228917*^9, 3.948274148605711*^9}},
 CellLabel->"In[50]:=",ExpressionUUID->"af4110b9-8b7d-44d5-a091-88eb1c487999"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwUV3k4lW8TllSSJElIkiiVJC0kuW1JRSlkSX5IlC1JUtkSslNJKiT7mn1f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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwUV3k4lW8TllSSJElIkiiVJC0kuW1JRSlkSX5IlC1JUtkSslNJKiT7mn1f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               "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {200, 200/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {200, 200/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwUV3k4lW8TllSSJElIkiiVJC0kuW1JRSlkSX5IlC1JUtkSslNJKiT7mn1f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           "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0., 0.9999999795918367}, {-1.5, 1.5}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {200, 200/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
          PointBox[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8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               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQO1ISmtesIr9vMtcZRa4jjLfu7zaH+/Q+vtZcH8
VfZ3FarfL/h3wl7IeqOw9cbN9pe2aClwHrxtbwWW32W/yuzS6q+OD+w72TIn
sGUesK9aIK9oEf/QXhKs/rD9J/HEVX/mvbJvzf85Lf/nMfuXyzinPzd+bS8G
1n/KnnXu/N9bTF7ZL7vROfdG51n7+uPrpghs/gA174K9h/K26WEqn+wvKvBe
AiJ744SLdRK2b6HmX7af6vV2q+bl1/b+oSBw1f7rUqPrAi2v7aeD7btmf8Z8
RZLipNf2D0DGz71h//Wvy5a1oQ+h9t+y77NV4Pyi/cw+bt/T6H1Pb9tzWPT1
it1+CHXPXftq95tbOfZetr/zSfc+ENm/8HafqGW62X4S2H0P7KsjZRaWntxh
v1YY5KCH9tUv1xl9K7m8H+LeR/aTU9JOLwjdu/8rWPsj+yOlW+vrBB7tFwC7
/7E9gzfbzt8SL/ebeDQD0RP73t7nZ6+kvdkfAfbPU/sps/9L/9Z4vb84Sb0s
Sf2ZfWXl8fLtR97th/jvmb2l9Ox6Wc83+3fXnN5ec/q5/RrHM3Xx697svw72
7wt75/2TW93r3uz/PQ2k4aW97cL7ggLr3u6H+P+VvXzNX1XBfc/3W4GcI/za
/uuLQEFhgzf7IeHx2v6Fj9lGOfsn+ytBxm9/Y5/WHXs9ve/efnBodr61T3fe
7nXF/ub+gyDl0e/sk8/0NLhYXdkPCa/39iK+n3VaSw/th6S2D/YxJx8w+SyZ
aA8A0XlEJQ==
           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-0.961513265556092, 1.1338716436605}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->200,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0., 0.9999999795918367}, {-1.5, 1.5}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {0, 0}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948273942078746*^9, 3.948273952675535*^9}, {
  3.948274067409328*^9, 3.948274149377993*^9}},
 CellLabel->"Out[50]=",ExpressionUUID->"eaa9a4dd-4bdb-4a04-9840-d5957524e949"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"biasVarianceCurve", "=", 
  RowBox[{"ListLogPlot", "[", 
   RowBox[{
    RowBox[{
     RowBox[{
      RowBox[{
       FractionBox["1", "2000"], 
       RowBox[{"Sum", "[", 
        RowBox[{
         SuperscriptBox[
          RowBox[{"(", 
           RowBox[{
            RowBox[{"#", ".", 
             RowBox[{"polyBasis", "[", 
              RowBox[{"Length", "[", "#", "]"}], "]"}]}], "-", 
            RowBox[{"Sin", "[", 
             RowBox[{"2", "\[Pi]", " ", "x"}], "]"}]}], ")"}], "2"], ",", 
         RowBox[{"{", 
          RowBox[{"x", ",", "0", ",", "1", ",", 
           RowBox[{"1", "/", "2000"}]}], "}"}]}], "]"}]}], "&"}], "/@", 
     RowBox[{"Join", "[", 
      RowBox[{"as", "[", 
       RowBox[{"[", 
        RowBox[{";;", 
         RowBox[{"Length", "[", "testdata", "]"}]}], "]"}], "]"}], "]"}]}], ",", 
    RowBox[{"Joined", "->", "True"}], ",", 
    RowBox[{"PlotRange", "->", "All"}], ",", 
    RowBox[{"ImageSize", "->", "250"}], ",", 
    RowBox[{"AxesLabel", "->", 
     RowBox[{"{", 
      RowBox[{"N", ",", "\"\<MSE\>\""}], "}"}]}], ",", 
    RowBox[{"LabelStyle", "->", "Black"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.948263809614846*^9, 3.948263827126871*^9}, {
  3.9482638768818827`*^9, 3.9482638802986298`*^9}, {3.9482640225523043`*^9, 
  3.948264089290145*^9}, {3.9482644010883017`*^9, 3.948264402230794*^9}, {
  3.9482644325136557`*^9, 3.948264433328302*^9}, {3.948264522108773*^9, 
  3.9482645225078363`*^9}},
 CellLabel->"In[25]:=",ExpressionUUID->"f6f545cf-927d-43c1-af6d-713c7a209a9d"],

Cell[BoxData[
 GraphicsBox[{{}, 
   InterpretationBox[{
     TagBox[{{}, {}, 
       TagBox[
        {RGBColor[0.24, 0.6, 0.8], PointSize[0.012833333333333334`], 
         AbsoluteThickness[2], LineBox[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQEf7AVcUljbtJ/thwo4XGyZfed+008on8OB2WBi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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ]},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{}, {}, 
           Annotation[{
             Hue[0.67, 0.6, 0.6], 
             Directive[
              PointSize[0.012833333333333334`], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQEf7AVcUljbtJ/thwo4XGyZfed+008on8OB2WBi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              "]]}, "Charting`Private`Tag#1"]}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0.1875000000000004, 40.}, {-8.876302173878349, 
             33.80594718198427}}, "Frame" -> {{False, False}, {False, False}},
             "AxesOrigin" -> {0.1875000000000004, -8.876302173878349}, 
            "ImageSize" -> {250, 250/GoldenRatio}, "Axes" -> {True, True}, 
            "LabelStyle" -> {
              GrayLevel[0]}, "AspectRatio" -> GoldenRatio^(-1), 
            "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Exp[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
            "Primitives" -> {}, "GCFlag" -> False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListLogPlot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0.1875000000000004, 40.}, {-8.876302173878349, 
            33.80594718198427}}, "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0.1875000000000004, -8.876302173878349}, 
           "ImageSize" -> {250, 250/GoldenRatio}, "Axes" -> {True, True}, 
           "LabelStyle" -> {
             GrayLevel[0]}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              PointSize[0.012833333333333334`], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Exp[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
           "Primitives" -> {}, "GCFlag" -> False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           ListLogPlot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{}, {}, 
       Annotation[{
         Hue[0.67, 0.6, 0.6], 
         Directive[
          PointSize[0.012833333333333334`], 
          RGBColor[0.24, 0.6, 0.8], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJxTTMoPSmViYGDQAGIQDQEf7AVcUljbtJ/thwo4XGyZfed+008on8OB2WBi
0OMyGF/AQdlz25vFniIHIHwRh8f58Ts3OMP4Eg5HztdsD5cRh/JlHN4yThZz
k4XxFRx27j4p7ssL4ys5WGqfr3RcLQblqzh4d/c4WM2B8dUcFj792ssbC+Nr
OGx8z1uWHgPjazm0fc9OubhYFMrXcQiTu63LugjG13Pgc9wksxwub+DwqnTX
TJUiGN/QISwk5GenAYxv5MDc7sC31B7GN3ZwZZjefd0Kxjdx2CistsuYGcY3
deha/2L39p9CUL6Zw+WCtf+t8wSgfHOHazoBHOXWglC+hYNyUXfxtNccUL6l
w7xbjWKPDsH4Vg46RoJn7ks+gIa3tQOn7uyfcnZ/7SF8G4fzfvvzRNdyOED4
tg4SFrn+lyMFoXw7h9i8ZaqfGoSgfHuHlT5bN1QVykP5Dg7ztnCwqK5XgPAb
HBxyf4Vrx9eqQuUdHVYIL2P2NlGHyjs6fI77PvnyJgOovJPDDB95xq1RhlB5
J4dubW6b+R2mUHlnh9P3N80IWGcOlXd2iP5qrS16wwoq7+LQWPbLTfO5gwMA
XeWlqg==
          "]]}, "Charting`Private`Tag#1"]}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0.1875000000000004, 40.}, {-8.876302173878349, 
         33.80594718198427}}, "Frame" -> {{False, False}, {False, False}}, 
        "AxesOrigin" -> {0.1875000000000004, -8.876302173878349}, 
        "ImageSize" -> {250, 250/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {
          GrayLevel[0]}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           PointSize[0.012833333333333334`], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Exp[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
        "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        ListLogPlot, "GroupHighlight" -> False|>|>, 
     "DynamicHighlight"]], {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{
    FormBox[
     TagBox["N", HoldForm], TraditionalForm], 
    FormBox[
     TagBox["\"MSE\"", HoldForm], TraditionalForm]},
  AxesOrigin->{0.1875000000000004, -8.876302173878349},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{
     Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision -> 
      15.954589770191003`, RotateLabel -> 0], 
     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImageSize->250,
  LabelStyle->GrayLevel[0],
  Method->{
   "AxisPadding" -> Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "DefaultPlotStyle" -> {
      Directive[
       RGBColor[0.24, 0.6, 0.8], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.95, 0.627, 0.1425], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.455, 0.7, 0.21], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.922526, 0.385626, 0.209179], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.578, 0.51, 0.85], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.772079, 0.431554, 0.102387], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.4, 0.64, 1.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[1., 0.75, 0.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.8, 0.4, 0.76], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.637, 0.65, 0.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.915, 0.3325, 0.2125], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.736782672705901, 0.358, 0.5030266573755369], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965], 
       AbsoluteThickness[2]]}, "DomainPadding" -> Scaled[0.02], 
    "PointSizeFunction" -> "SmallPointSize", "RangePadding" -> Scaled[0.05], 
    "OptimizePlotMarkers" -> True, "IncludeHighlighting" -> "CurrentSet", 
    "HighlightStyle" -> Automatic, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Exp[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Exp[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0.1875000000000004, 40.}, {-8.876302173878349, 
   33.80594718198427}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Ticks->FrontEndValueCache[{Automatic, 
     Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision -> 
      15.954589770191003`, RotateLabel -> 0]}, {Automatic, {{0., 
       FormBox["1", TraditionalForm], {0.01, 0.}}, {13.815510557964274`, 
       FormBox[
        TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> SuperscriptBox],
         TraditionalForm], {0.01, 0.}}, {27.631021115928547`, 
       FormBox[
        TemplateBox[{"10", "12"}, "Superscript", SyntaxForm -> 
         SuperscriptBox], TraditionalForm], {0.01, 
       0.}}, {-27.631021115928547`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-25.328436022934504`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-23.025850929940457`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-20.72326583694641, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-18.420680743952367`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-16.11809565095832, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-13.815510557964274`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-11.512925464970229`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-9.210340371976182, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-6.907755278982137, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.605170185988091, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.3025850929940455`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      2.302585092994046, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.605170185988092, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.907755278982137, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      9.210340371976184, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      11.512925464970229`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      16.11809565095832, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      18.420680743952367`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      20.72326583694641, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      23.025850929940457`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      25.328436022934504`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      29.933606208922594`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      32.23619130191664, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      34.538776394910684`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      36.841361487904734`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      39.14394658089878, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      41.44653167389282, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}}}]]], "Output",
 CellChangeTimes->{{3.948263812698069*^9, 3.948263832514358*^9}, 
   3.9482638859955683`*^9, 3.948264033645093*^9, {3.948264084133428*^9, 
   3.948264094565215*^9}, 3.948264407583634*^9, 3.948264438687293*^9, 
   3.948264527768785*^9, 3.948273998661524*^9},
 CellLabel->"Out[25]=",ExpressionUUID->"97c48afc-a508-455f-a069-6e9a7516ab1b"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Sin", "[", 
        RowBox[{"2", "\[Pi]", " ", "x"}], "]"}], ",", 
       RowBox[{
        RowBox[{"as", "[", 
         RowBox[{"[", "6", "]"}], "]"}], ".", 
        RowBox[{"polyBasis", "[", 
         RowBox[{"Length", "[", 
          RowBox[{"as", "[", 
           RowBox[{"[", "6", "]"}], "]"}], "]"}], "]"}]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
     RowBox[{"PlotPoints", "->", "100"}]}], "]"}], ",", 
   RowBox[{"ListPlot", "[", 
    RowBox[{"testdata", ",", 
     RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.948213988664893*^9, 3.9482139963387823`*^9}, {
  3.948214827908*^9, 3.948214829794883*^9}, {3.9482207855700827`*^9, 
  3.948220788321418*^9}, {3.9482210994223557`*^9, 3.9482211008293333`*^9}},
 CellLabel->
  "In[745]:=",ExpressionUUID->"bbf26ddc-fe38-479d-a3c9-6d8e7eb05a56"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC
tixlqScp+8wg2XfmPdtcS7Lzu/7y+X7em3n3nnvuuecNGcdLh89wsLGxzbKz
sS39HYyPqRDNNNY9NT5R6cjroVt+wnCkt28jfPhqI+WtfxDCy0XC8/rUwaxz
L5+6/kkYWVhofddnCEJt13QF9C/B2xdXuF70WULBgQXzYb0AmGFueR7Zdxqs
eHYrJOk9hAQBvu6IvitwxDriXC68gbnY6ZCHfYGwQnL39RntdDB6/eBaacET
EEz2HfPbXQRi66kMevVrULQKyM/gL4On85HMOOt4OD6zc89ADB2GjIsNfTOT
QMmIw7iksQ7MnJ/21GekwZ6W/Zw9oQ2g7aHdnyDwCVZxqu30cG8B6ZAzR3Vz
s8GgznrvO/kOCF3ePbBG9TNY2psZaUEXNOX0vQvoygPaOdfG7Llu+MjQvrHZ
qRBsudUFgkN7gW6wr2Zr8zfYujlqUnG2D4ZGRuS6iovgku36HbOeJGR59Y1X
shdDS1xYstk3CliPY+qvH/sBe1PvmHrzDECN3acrbWklYMQjvyirMggTtu4b
Tgz+BNUtAq72m4fgwfBo73uDUjBynYyLEx8G5y/rvggGlsHpA5/aqluHYcjj
yzW/u2XgY7w2u7VjGC4rWe2kHpSBiYC6S3/3MPi/vpf7/XkZSJW8uDlHDUNE
0Ey2Z1oZ+G3ZqcE7MQz5hxozm5vKoOIIX1QhPwsE+yNTElTKQUmKUR+qxYJs
cb43uu3loPKqmT/rIQso4+cij3vKoUL5zaTyYxasuyx3v48qB1fm1cr4JywI
rACf++PlkK6VuiX8BQsO+3laNvNUwA7VyIa971gw2tq23Eu9Aipq1F5Z57Jg
a2yGe+rdCugWmi3tbGaBY9Vuki28AsJfrQ9a08aCZ1MV9laRFeDmsV3WvIMF
C4f6zGZjKiAhL04ovYcF1exr5UyzKkBI3/zhsSEWuJwObOptq4CDDo0rD86z
IEne2mCdeiWk+FmveyOJIHdSbvfqXZWQbJ793l0KQXHZxE7+3ZWwaq3kET0Z
BK0Xnm6Z21MJmh5v5ZplEaxM/y3WalcJc6nXwiaVEHjttEQvb1fC9f7KfU2a
CIxMDr2SqK0EtRcX/+20QmAhLh21qqESONlaBGhHEJwYQI/4WishxF/cxNEG
gff9h3dm+yqh4N072WA7BCkM2uWW6UroOn7YL9sBgfDR/aYvZapgeE98WJ4L
gs7zZv/WelRB5aBx5PFABHtMzwvc8KoClfT6gbogBKkKd2W7/KrAPF9R0DQE
gS/583BiSBVcci/8rByKQOSMfrr6qyow80+NbApHYOaw65x5aRWsSCiyLX+B
IBNsAtKrquCkcpGD5EsEYlJez4Rrq0CM85/apVcI+tqyShpbqyB4X8J2/jcI
bh7bJnNmrAr4nj7IVIpHkGMt33xdshqCTry8xJaGYN0O49HODdXgV2a4UjUd
wW0RJx4jhWr4IFHgczIDwaHfb3esUK+GecHihJxPCAYsJCOfmVRDJ2Pg7N7P
CKT3rzZPv1INCbsmXdmKEIQZcnzrLK+GX52v/iujI6goPX2UolXD8ZiNmnEM
BCvMf/5FddXQEaHi7luDINTqrtJiWzXk3f7AL1eH4O4ZwReSY9UgPZsw7/gH
QfCdtZ52a2kg3/c3+1YrghI+fyFHKRq0ZY/TdNoQcEW0JZ+XpYENf/bkBHbQ
89gu7600UNpnftWxA88nSf5glAENTLwSpGS7cTwq1RR/X6DB3stFm8xIBEUH
n/xsuUQDyUS6AhOb7feEQ48nDVicMztvUggCWr9Ejd2ggdMP35tp/QhuDOty
/xdJg7/tynnjgwi+ecTGij2ngSuXiOLNIQTzE+w60jE0WLjN+LBiGIH/Qsnl
bYl4vL1v6OIsBH5C+zr3F9DgweGC79IjCPIjP/odKaKBRqBtbAz2zBrBNfY/
afC0/u59sVGcH9I1+13oNGDjDn7AM4bzUdWmIKyHBp+0ZFRrxnF+W55+VspH
h38SM1NckwiczHKpnJV0aPtk0OKAfVifVztehA7amyTa87G3bUvvuClFB9eP
Z43PTyGgVswqaKnTYeuFlhfp0wj+sB/wU9hFh/zzIjfnsH9OxVaL7qaD8eYv
IXtnEMQx91we30OH85fkJxqwjxU/LvhoR4cVSNW6exbna16fwMuTdJhm2w3S
cwh2ZexyCHWiQ2pBhMlx7NWv27nOutEhbztXIQ2b46mqjdUVOtzWk5Tnnkcw
ei8oycCbDiNhHhma2DQfxQNSt+lQlUzIxWAXul+PFbhDh5CPWSursJOdGWOz
9/Dn9zRITGPfOeIV1fiUDgI1cY/3L+D4mJf3/4qmA41mvOCJ7WS4TifnDR1U
AgTDorH1VIs7HyXRwWcvD0cn9lYFEfWbaXTw3r+dtYi9TupcsFsWHUy7A2Yk
F3H+ihY0HP9CBwNDprwW9jS/oOK+r3SoLz97xQqb4jzlr1lMh8eDix0u2H9m
smibSumwWSvDJRC7ZHSZjGgVHZxOe4k/x/5EHb3CVYPjr2rBTMaO7fj4c6ye
DuGhUFeA/fDP4pquZjoku+l1VmDfqD58gd5Bh9KFwwKN2C4l7wu/9uL18fSy
68G2K5gS/NhPh3i55NIhbJNP+05Fs+gQFDxs9Rd7R9LrrLvjdHi7QY9jBlsu
dpT72hQdfie+pc9jr44ysj0zTwex1v++LmKzl+6r38zOgKC4iIolextcXYjl
ZMD+GcmppfvR19ebxJYx8HjyjJe+76xm2aGHPAw4QzplLT2vPXvUZxkfA3KX
S+kPYx9RkXh3XYAB5+kUa2m8VSlGVX+FGGBeUVy4NB/DTW4TF4UZYBabmlyJ
nR8Xtb5nNQMuiiR/KcRWXf99r90aBjTy5jFTsD+8GHCvEWdAvU+LxgtsKZHV
0SbrGPDruvC7IOxnEbt/EOsZsMXspKrb4lI9iRBJ28iAyWhI08ZWDOuqspNn
gJi2gNzS+tLuqwUt38wAi5T/nOfw+os+/j3msBXPT7HMPBs7/4lcsoAqA/LV
AkbuY5+I8jqVr86AHXNeJ09jJ7wSY6zSZMB9D403vNhmb87fKdJmQNx+Nvcm
nJ+st/m6rrr48/vE+ROxdyQeT/1lyICsfL0EbexfmbFhPgcYEKvPcDTD++NC
9qi+vAUD5mfcwnmwBT8bTNdaMkCl1ze4BO8368JeZ+WjDMhUGa7fjs38pWDc
cZoB62PL2Bbw/g0r95m7d5YBH3KO303G3lpVkbXrPAN0S+60WGF71bhseOzG
gLdP8nvjcD1Y3pqxaOTDALYF/UBZXC8+trN/HvVjgHqp9jniHz4Pug67vb7B
gIMCbOK22M+Zf1snAxngnMPVfnsCgcLorvzkcAY88qP/+4rrU9V4qIfNIwbI
bhjW2ovt/q9ZgesJA/QChffRcD37MusfZf+CAbX/ntLrcb0zWfbdc2U8AwYz
Ll+oQAiGeISVvyYwQGpzkZABdgTf6Z7zSQzQOHz81mdcTxtXch/+kYbjuTqx
/CWut+ckTLd55TGg6OJLZIrrc6hKTX8LjQEXHDdF6zARRAcb9tjVMKDhaF3E
qz5cP5pzWpvqGBDxfGvMTC8eb1A0vaGRAYeR+GRGD4530+mcum4GZIS1ZCzr
QvD41r+blf8YoHxgk7F1C66Hf875mk3jeK+MehnVjCBLqeVK+Sx+vv9JnoYm
BL/ribOlbDVwOVtB7lAjgjWKoeY/VtSATizpolSP4FWthFjB+ho4NoRrGg3H
e1P4f1oyNeCn58WeVI3gqz8bX97GGnDn1Wkur8L7Sb5vPlehBuwyjtVwV+Lz
1y+t55NaDQgWnG84W4rg/Ub99OQ9NUAcXH2wmkCQ5nl2T7RbDQizGx5Rxuf7
0CE22gGPGtD+8td2JhXB5i3RRzg9a6Aw+o30r48I4vuqnVx8aqBkceecdTKO
l/X2QN2gGshgtTHt3yMI2cVV1P2iBppoDTFsuP+wn3urqfSzBpzvPdKMxv1N
dKP2947SGrA486RfGvc/jdn1Jk8qauCBzDOH97fweeTKaztPr4GX19njE2/g
9W5396I314CA+qXAR94INIog68pIDZi/7CucuYiAP6hNuVCiFnLXuPZutEDw
VnxEyGl9LYgNL++4eBDvn3SOcT6ZWuj0KPiSuR/ByeZNecfka2H3QC/vTjNc
X1UuG8+q1AJl+URewRCBbduyE1p7asHJ0dMpXgPHa4fKwy/utTDLbVLLLYpA
t//2aPbPWlDa/RRdqWUB1OSKbiurhRt62d7HGCzQyxvQTqrA10+abdOnscAw
9HBIDL0WUk8dk1tewQKTzRskQppqYW/S413Xv7PA8vx3I5vhWgiSKF4jnMGC
c/2LUdOr68D57Ka4jnsseNTvr6vrVAfXhIVD/9NlQZFt4+jw2To4m0sdOaDN
Alap+vuY83UQWnCFJ3QXC8wSBvjm3erA9IyL1JQaCzhO2zYV+NSBaLn12q+b
WODZqu6p+bAO6JyLl7pXssCWPpCkkV8HNiaF7K+6hmF9jq2I0srfcDztvccf
/2Gokgj1/JDxG1KOlhz6kzwEBxrJzLn99SDHR6+c/z4IvA4KPtlT9eCjKd6+
9sMA9N3+WjYX9QeaLrPz5oT0w6y7RtwHowa4o9au6a9KgdrMImdfXwOYe9E/
WTQzYXfTtOFUYCMw9CdGN3v2we3AeoFL25qg7ETMZbKxB8gybgcvehNUrnKZ
2mXcDSFNa3S6/Jth2ek0DeTXCdNg+2/Dphbwu25RGWfRBg/0h3dN/GwBh0sT
+drVTXBM0Ilb6XIrFJw5f8+uqx7MvLbZjQq3wRWZq4htQy0IaGx+EJ7RBmfT
RYwLyqqA9yuX2cNj7fCHf2/mvfslIN+l8VB6th1O/hPzC3qUB9cZe06IfOgA
Keunp6wM3sLvsB/BIwqd4Pqsn+JcFUtMzzyIXe/dCaMBraeOPPhMFBwyvblQ
3QnoxdkT6RtLCMG/W+Pl13dBMrv3H4X2SmLBn/sB29UuUJUp+RotVEs0qoz3
Gld0gXOv1LsZnj+EgRrfrTrxbvhLbvvP50MTYSq+ulvYvRvW3+OeM/VtIzr3
770TXdQNvGpie8u8OolTqY9ePhDqgZAumxYFsW4iYKzKU+1MD3xTqliVVt5D
bA1WeyyV0wP223iPPjXrI3zm73p+4+uFnSaLpx/+ZhJpsf9+ljn0goLifIGx
LkV4Pgo/JpHRCydH43nIa/1Eg/OaXKllfeCTuPVMVsYAUXGvwsrFug8IfvOf
zLxBIrH5iaPs+z54MtJm+ePdECEjdGh7+Ewf7LaRfm4YOEwovk+Zr8Lv1eIz
WcgkZJhQ017+i2++D+7cdgs0Dx0mDJy/WYcu9kF325sTBx4OE46EsncQFxPO
trLadV4OE/GXeAt8BZkQ+uVSR8mnYUKeUaznvIEJ61wlEgM6hwmlR9vN9cyY
kLlwq+fZDhZRMRDf8mIfE783XFc9pckizhmtvjhuzgSn6tGTm3VYRMLkWGjC
QSZsSrpun6XPIqRPZJTyH2HCiOKn+lRzFrFaScmw6SQTOFIjHuo4soiFEmmt
y1eZENgv3ETcYxGv1keUV3oxQW+bfKNxOIvQ9l60lfNmwgKtILM8gkV4K7Vf
a/RlwpqjeeMVT1nE+KOXObo38f1Zq9Oy3rAI6oSoKt89JtzYFVQvmcUiaqf4
FOJjmSAl9q/IspFFJM7ea2S+xeM98OeVWzOL8F/gC938jgnFP7qf3GllEfJc
/ANp75lwenKuMauTRfgI8X/MS2bCIj0+dYLC85HnV6FnM0FR9JnL+mkW4WbJ
v2umjAmlXLlnOMUQYWh9n9KpYMLO+rjQLnFEiB3lfxFQyYTDA40/v0ogovgE
/wwXjQmjBz+G4PdrQuQCf6FQHRPyI37JE/KIKLzJryfXxoRq845Stu2IWJHG
b3JolAmGx3yqVh9CRJiAacL9MRy/yalXqRaI4HMN5iofZ0LjU6enRpaI4Fde
KNL/xwRlqdh5F2tECCYjTfVZJhTuWZmUeBwRwgm1SqLcJJxyvmRTcg4REq+f
C7WKkTBol+UZHYCIV/O/XcXWkgBep0SnbiJinf1/VVYSJFz7rtZmeRsR69eF
3a2WJEFaYriJOxgR0tF+7MQGfN0x7IFlGCJkn50Yf6tMwg9zoaqnTxChHC7b
4KxHgkiovkxOIo5PpufcN30SHkkfz0cfEGH3u0RG1JAEs+d8GxSSEXF37RmX
EmMS1hfVHn/8ERG9Ce/ZZfaRoPUi9bp5Jh4fIa/cfIQEL6fLdjb5iMjq9rJQ
tSGh+AhfnVsBIiq4S73u2pJQrzAqFlSIiKl9zt93HCOBo8ya/8M3RFg1JlpH
OpDwosDnYX0xjteowi3ziyRMz66b/FWBiI2rfRLeuZBw/FmjdkElIrR2llfO
uJIgLFhknlqFiHPXz4smuZMQlEyvDaMhooQ3OYXbiwT7XDk3pVpE+G9Q+vPt
Jgmi+2h1HE2IiDT2mxW5TcLXNd/r6rCTz1VKuwaSYF7Z9zquGRGNaRcvSoSQ
IFd875lmKyI0tD+yed8jwcSvmHd/ByIGLbcoqT4j4SSS+svbh4hd0uEeHlEk
HKheJfURO2SI9TnzOQldpmb25ky8HsEZRmovSVj10HbVHRLPN1f9hHosCStb
x5z6+hHx9vaT+CtvSbDyGFfwHkAE68DEQFYcCeVhQ4s8g4gIJXOvabwnQePy
e6bsECK+iWk92p6M45dq9MyYhfOtL7rhagoJnlskRsuwbTNnJXM/kpB6J/GE
GULEuOnX5B3pJBQkFXvsHUGEgp9eyc5sHE/TbdcUxxDxuG3PpOY3EhZqP0xF
TiCiIylxty9BwodWT78pbGUvnqD8IhIOEndWHvuHiFLBipXaP0joOHXBY+0k
IuZgv6JOGQlPOgMFbk8hwpQ/zd2/nIQtCUyZBuxnjYKfCyvwfEdOmyhOI0LV
g2G4u5qEB+uiKyuwz8ZZ2uvWkuCXcSn57wzOH7fsdzfqSGh5I31QaxYRbNoi
A99+4/mrlXLfwH5Z98cLGki4z933YRGberPza0AjCSNXrJ7unkPEDpfnnEVN
JIh1JkX6YDO47CL0Wkm4ajX1cxBbsib/z802Ep55D0zLzCPiQoyE5Pd2Eg7X
ZoM1NveOtiT9LhzPhJ9sediHOXRHbnWTYKG0zJ/EjqW93lHcQ0LejDDv6gWc
j84OPwyYJMj/CbF1xl4/+ZsRQ+L8s5E0eITNcce0fYoioVHlOPkFmyn6bdBy
gATvSD2TduzyBLXptEESdJpKndgXEfFxR+KyFcMk6AcjnQ3YEb8kVp9hkfDL
MIehh+1pHSFThEjYNCAqbY9ty+TaJjGK881LWOkato6Xj47XGN7P/yWMhmNL
LWOZ1oyTML6CcSUem+OZo43yBAk9reGZn7GZcg1Od/7hfFbsSi7DrsjZd7l7
koRbxM+TDdhpxkUBu6dJCH2kzcDvq8Tjeo0Hz2dIqPumP4ffZ4mrZ5Kix2dJ
aAtv6JlYGs+E5IcD8yQYX54LmV0aT/DjnKQFEqo4MvoWsKVFlv/gYqPgIOfY
In6fJrje+zFOslPAOFlcv3Sd0hhpy+egwG2LjPPS5ytLnAZFuChwTRbMXvr+
NKumKXduCpR17xUuPf9x7/5lVcsoUPGJurk0Pi/P4lWbeChYK6LBtjR+O66d
Mrd5KUj/e0p7aX66T1K2tq2goHbjBrWl+cvISuvs4qfgTsPV3ndL48l+Yhop
QMGY64nDS/GjDHltWIIUHHVr8/PCrqq77mS6kgKp0L8Ox7EzTo95xP9HQXnU
e/al9XkyfjZgUZiCuVdj9jLY3oEt9+1WU+BX0naVDRvelSSuXEPBismoxs94
/Teoa+ZcFKMANrlsjMBe9iO1+Jc4BTwl1Oaz2LTuZ23+6yiYsCDP82F/usw3
2CBJgXrmpXfNOB+fctycUpOiQOto6nP8Pk0c33B+Vb8MBRtlbXK1sAdPaZse
2YSvL//9zRjnP2003TpDgYJqlucfDuxPt2Sd+BQpEHswlPQV7yfftwIB35Up
6Mm8EqSMzdPVkb1FjYKIf548CO/XIXer4rvqFNjT7BdfYDPYyuk9GhSk/Gf6
yQA7SvrTwIudFAgWg/kDvP/lHYKkl+2mYET8jMVyXC9yzXNa7HQp+GVrKhSH
64mxJvNZOlBw85blay1sJ2ETgaMGFKybnth2BteftyV8Myl7KQjOMdgQO44I
lUydHDZTCtpcZC9sxi6KcXU/YkaBMXEuMAPXs3YvOnPBnIJ6Ry3FL6P4vNwc
WWdxGK+XzphpKq6HKSIl4QmWFAjZNkrKYWtxTJjOWlEwaur8IxrXz6Mt1kXx
NhREv30fGDCM69eDtamTx3F+ieY2bcX1+L+xtyExzhRw/VHrk8X1Pba9Vn/s
HAV3Xzo3+uD6r1LJOb/nAgX9RqyYql5EHIg/c2XEhQLbQunYiz2IuG+92cHw
MgXDXW63H3bi9S7I0Oz3p2BmVW25Gz5/5gKJIY3HOP9WPC65h8+3YnH28suR
FGzfEmmVgs+/O+kG7zOeUHDbvpytHJ+Pwi0/7ZWj8HrVrUhbKEPEZrUq2sZX
FNyoO2Vv+RMR1p2NGcIJON9MCiXiviIiXWfMcyQP7w92KqAen+eeteoWWwso
8Mkv/fQlBcfj3NUtLoV4PWOKOaPx+f8rcqqP/IbXX/4Amw3uD1oHFqw7fuD8
Oh97Jv8dzo8XfJq0agq21mSMyEcjwnFCdj6li4I3523ConA/8u2AbyxXDwUG
YokBMkGIWPuBbmjfS4EzaOon4f6l1s43TJCkIGpP+OZPuN8xKKKv8RiiIJC9
71GSDz7/7/mq7Zik4EfE6qatrrj/kGY4F/H3A/l7Gc+Tw4jQ85XjExfsh6GJ
8IIG3I+9qvNN8xDqB50plq74QXzehshNbBDuh++PsnKe7sP9waDv7eA1/WCs
W3zW0wgR8blyMWYb+mF0XHC8DPd3Z8z9an/v7IdyCfUYuijuVw50PRPV7AeF
izl5aDXu9yz2HrPV6gfZH89GBVbhemS9qrdFpx8OrBjKMhLC9zukTHTr98PG
BsmQl8vx/VdbxEb39UOCBtOXNcki0l9rnxRw6AejZIsbig0sYnpkdtD4Lh7P
JTEhDtxP7zi0/sSt0H54XZpYmfOARXim6zEKw/rB8fSxb864Hx9xDc5Wf9AP
uR/y9vwKwf31gOB1mcf9YCMlTbpeZxGNvTKC8y/7YZ2qXbDzBRbxpXGvSnZ6
PzAYCurchiziWlGk54aGfvjv7se7Y6xh4tHVdcUZygNwNKB5fZj0MKHjTbe8
4z8ABXT54L8GQ0SQw5VkoboBOLfG1UxVY5DIvbLVnVNhEHIPvDwRyj9AeP9e
5QvXBmFthlOkbgdFNKwdMNlSPQgyclK2/66TxK+0gWOnJYdAYV+lTNQ6JvHG
laOdy2UISpdfmjmV2kuICPPJ2X4fgj1jRne28vYQ67h0M8ZXDkPm36vvTd26
iKKWU2z6zsNgEH+qRkOng/jLlvHkz+dhsKNVG8bntRDCFiLPG5axgO3z83/H
tzYS1SEXHcKOs6CkbNv+Nzq/CbEVQy7BH1nAkvUfn/ZhEGxX7HXVOBFsQAdK
+5PKiNplzBtmtggOzV6+cfJiEbGdes6Zkojg0kfv/YlWmcSNOk8b/iQE3QIx
2peEMolf3w6luCYj2OvJ0b+9IoOwfspjqZKKYFSX+ZSADMLbwDtu6f9EoTGd
90OPpBEFr2z0i74iqGt+PLidPZnQtxANqK9DYJWSb61h85YI0xmr3VGP4C4V
knenKpao3USTf/4HP5/rRmeTfizhuBBMs2tCYM1ltXfC9jURlDIh2dmO4PuY
5a4TnNFEKXd94UA/ghMx0gFNNo+IlaMZK80HEZjxfbV2NIggbFvvO6UOITi6
1XK67mg4QX0y4ndHCNRPDvIOcYYRKxyyj038RaB4ritwme0t4vC+iHTrfwiM
hiLWrrK7Qbzc4cL5ZRLBJmbBmCiXL6EsIJviO4PgFk1LU9zWg/CcWlxomUVg
6aDyVIXrAlHY03J49zwC2+wKmrLtKYKL/jnh9QICrt5XQQdtLYj9+ZEzS7+j
OziurXbk9fj2P2KYO68=
           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ], 
        TagBox[
         {RGBColor[0.95, 0.627, 0.1425], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwV13c8Vf8bAHCElJkoO4QUmU3kseqbUYlCop+ioVRIslIZoZDs0UA2IdGU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           "]]},
         Annotation[#, "Charting`Private`Tag#2"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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               "]]}, "Charting`Private`Tag#1"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwV13c8Vf8bAHCElJkoO4QUmU3kseqbUYlCop+ioVRIslIZoZDs0UA2IdGU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               "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1}, {-1.0035751170662475`, 
              1.0134996122307918`}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 1}, {-1.0035751170662475`, 
             1.0134996122307918`}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.95, 0.627, 0.1425], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]}, "Charting`Private`Tag#1"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwV13c8Vf8bAHCElJkoO4QUmU3kseqbUYlCop+ioVRIslIZoZDs0UA2IdGU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           "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 1}, {-1.0035751170662475`, 1.0134996122307918`}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[2], 
         PointBox[CompressedData["
1:eJw1lQs0VHkcxx09tDWtPKJEQ8mjUXpI7SpfJ6TVY3uwOkokRCuUSha1tSKc
baO0yrZKD7Q9VJSc2n8erUhCyCMaM2aMmXvHYLXKo517Z/qfc8899/z//9//
+/t+P/9zzfzDtwRqamhoBCgf5v1ljP9ktOHIhlziTbZcbrobD5p37+Tos0Ko
vs8hY+6NnaUJ1dDixipKtLJwgL61pvbbf9Tz12A0YPi0YnYHFoXvWVvdlgcn
yjKrNfadev1d7P4q5rxGXxPY6Zn3oTH3qmebFV+9vwBOz6WfTlzgw9XQ52Cd
6yNI6hePmUCorvcYttm7Mk+s6YF+xX7jiv1PoPXUeb22rgBDs5n6BObJRVmW
zmKEOTj7d9Q8g+ey6aLQdRL4seeVYuPwco+QBCEOn91g3xJQhpXWHtmZlBTB
7PnlKJJvSfxoJYa3zGtyw6fnmGCxTa/RRYH1rJ4KZIxeHzp/n4IjU/7MCyR6
HT85J1Wu1lcJQVeES1hgH+Zkht6vtHiJ332i10RsVKj1VuPzwoSbv+6gMHHg
cEL5k1ewk2cZryqn1Ppf43Kw6JruuT4kXne67Wtdi6gjld4pwQr8zPZTi0he
UHvq9n5E17EOYXsaJyjNXo4DbH/1sI6VcKaN0fhx1P24N6lHSw2/lu9OI4Dt
9w3yGsbx/50nh4/1JqZD1P5lNjUluhc/sP034Cq35DTJo/G9JzMaoXfGMC41
RIy1rB+NWHZsVartRQm2HmcTg9nzoWOH1srU/ryFsCDnSreVHK5K9Ztkb6G/
PbRxJE2i9qsZESPpHRyjLixvYRUhyv7SivSpX/JtQcwJy17bC2JYT9ir7KAV
36RxGnJchWo/2xC5edWUqo52zFrMbkCifyBv/rV3an/fwdTGQLNNVgsuI8ew
HQ3243kG019iBut3O0y9wjSX/FQGnaRoxlHE7+Pp3LB5gcksn++RUDJDtn5+
EcYVHlUm8B69wnl56eIiHGXz4MO0ap22w8gpEqNczY3l4+zKgHw59wmJYvPh
I6+gdKVjWhU5qDztklknprzetPADp45EsHl1oty+h28yWEEOGzOCOxHeXxhg
LW8mqvwE0D2/YI5tRh0JV3abGSrAYIYknDLlE1WeArgd/XnoTl0LCWaW6wqh
65V8r3iigKjyFWLqTt2HBkIR2aV0O+OREJXHjIWaW0VElXcXUlxqYi56dRFv
xh6fLsSOTxgZy6eJL5t/Fx5Ti/u7XaRkhzLtdE0R5PrW2X+Iu8k2lgcRch2q
h81mU8RTuVo/VwTLBdzi98UKspnlQ4RDq0PrOTyKbLRnAhZjSsulK/6tNHFn
eRHDqGRf/KvvaOLGyB8Qw6tAzC2ooYgzy083hl1t4+7kKIgTg0tGN5YkRsYt
alIQFU/dGBBlyntnKcjqIf4v2o4SfPjY6Kf1mSIqviSI6zLzaN7WRxxOC1ec
FkqQbOL2rKafJireerA0ZHrx7UlyYmcupjlJPQjSCvxTZ1RBVPz1QMcttW7f
RBlZUCzJTlkoRZleYYL+OClR8ShFkw3/gd8imliw10cKYZLHpFJfGeGxfMrQ
VkTZhQ12EyumfLQMnXTx0hVEQsxZXmXIF4TEpKdLiRmDG5fC3bKkc1V5QmLC
8kshMzJ+aRYRECNdBlgKg8nubkv8+MSA5ZnGNLtbo802nUQvd5A3YS+NDm96
TNraTrRZvml07kHptAdvCMeRMUiO6/5v84we8ImKdzmCSGfUG70G8jUTb6Ec
M+dJL9581UJU/PfiN71qc638v4kW0653L7Ie+p7a7XpFfR968Z/Yb3hkJBeq
v4UCFrs8fPpzCvA/GBY1IA==
          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.009166666666666668], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJw1lQs0VHkcxx09tDWtPKJEQ8mjUXpI7SpfJ6TVY3uwOkokRCuUSha1tSKc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               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-1.08419068206993, 1.1473559044268}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.009166666666666668], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-1.08419068206993, 1.1473559044268}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.009166666666666668], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.009166666666666668], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJw1lQs0VHkcxx09tDWtPKJEQ8mjUXpI7SpfJ6TVY3uwOkokRCuUSha1tSKc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           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-1.08419068206993, 1.1473559044268}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.009166666666666668], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 1}, {-1.0035751170662475`, 1.0134996122307918`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948213994969796*^9, 3.9482139966890163`*^9}, {
   3.948214142879798*^9, 3.948214165094673*^9}, 3.948214217594067*^9, 
   3.9482144192622843`*^9, 3.948214453154975*^9, 3.948214492847686*^9, {
   3.9482147396119413`*^9, 3.94821476010004*^9}, {3.948214830526528*^9, 
   3.948214872389887*^9}, 3.948214991782102*^9, 3.948215066612277*^9, 
   3.9482152899014597`*^9, {3.9482154154528913`*^9, 3.948215444456829*^9}, 
   3.9482155029840813`*^9, 3.948215550746167*^9, 3.948215599013854*^9, 
   3.94821571049916*^9, 3.9482157469104633`*^9, 3.948215954001536*^9, 
   3.948216688197689*^9, 3.9482169301247*^9, 3.948217065146929*^9, {
   3.948217303888566*^9, 3.948217311258853*^9}, 3.948218718323791*^9, 
   3.948218831786192*^9, 3.948219451217712*^9, 3.9482202409039307`*^9, 
   3.94822027523696*^9, 3.94822057705947*^9, 3.948220790555211*^9, 
   3.948221101331315*^9},
 CellLabel->
  "Out[745]=",ExpressionUUID->"259cf64a-f845-402c-9036-7198c08c5ee1"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Sin", "[", 
        RowBox[{"2", "\[Pi]", " ", "x"}], "]"}], ",", 
       RowBox[{
        RowBox[{"as", "[", 
         RowBox[{"[", "100", "]"}], "]"}], ".", 
        RowBox[{"polyBasis", "[", 
         RowBox[{"Length", "[", 
          RowBox[{"as", "[", 
           RowBox[{"[", "100", "]"}], "]"}], "]"}], "]"}]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
     RowBox[{"PlotPoints", "->", "100"}]}], "]"}], ",", 
   RowBox[{"ListPlot", "[", 
    RowBox[{"testdata", ",", 
     RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]], "Input",
 CellLabel->
  "In[768]:=",ExpressionUUID->"ee92f7cf-efbe-4a88-99e0-b631a8475400"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ], 
        TagBox[
         {RGBColor[0.95, 0.627, 0.1425], AbsoluteThickness[2], Opacity[1.], 
          LineBox[{{0.20136647375992411`, 3.8764267748218493`}, {
           0.20143266050618266`, 3.56414794921875}, {0.20209486738003835`, 
           0.65509033203125}, {0.20225740484651955`, -0.00885009765625}, {
           0.20241994231300076`, -0.650146484375}, {
           0.20274501724596314`, -1.85748291015625}, {
           0.20290755471244432`, -2.426025390625}, {
           0.20307009217892552`, -2.96942138671875}, {
           0.20336250492214264`, -3.8679023580550345`}}], 
          LineBox[CompressedData["
1:eJxTTMoPSmViYGAQBWIQbSsn+rXk8in7Q3vnnyr7yHcgJ7n55pO7p+yBUgwL
hLkOLOgXCLB4DOEzdLAfuLJ77rHuFxB+wg+WA9YiOzYbfYbwHZb/38919E1v
A8dpML/h/rP9dh8rWa7wQvgMIrf2F8myV6sLQ/kGu/bfKlXMOCcL5cvdt1+p
FuYkYwzhO7j8tN/2XdVWxALCP8D51/7Qia/mPLYQ/oMwBoc7WVN1/7hB+ceY
HV5ap2p88Yby01kdvvGYKr8JgLrnHZuDwPorEneioOZf4nSQbVgifCUear8S
t4NWYAnfmRQIPyGJx8FMyYXzSCaEr9DG6+D8WZhlTx7UvPl8Du/OixmuKTht
v3taJdcbJn4HAP0Hd0Y=
           "]], LineBox[CompressedData["
1:eJxM13dcze/7OPBIpJQkISErWVFWSFdIGkZC0pItbyMkSagkWUlCQkNpSyqk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           "]], 
          LineBox[{{0.7960904824015622, 3.8764267748218493`}, {
           0.796197167785655, 3.68341064453125}, {0.7963505983341082, 
           3.38232421875}, {0.7966574594310145, 2.7252197265625}, {
           0.7968108899794677, 2.362548828125}, {0.796964320527921, 
           1.98388671875}, {0.7972711816248275, 1.1702880859375}, {
           0.7978849038186403, -0.66961669921875}, {
           0.7980353201151107, -1.16168212890625}, {
           0.7981857364115812, -1.6680908203125}, {
           0.7984865690045222, -2.72125244140625}, {
           0.7987956644325789, -3.8679023580550345`}}], 
          LineBox[{{0.1914995742147114, -3.8679023580550345`}, {
           0.19166510911681145`, -1.892578125}, {0.1918306608352754, 
           0.0267333984375}, {0.19216176427220322`, 3.6824951171875}, {
           0.19218030503929434`, 3.8764267748218493`}}], 
          LineBox[{{0.8077519870371465, -3.8679023580550345`}, {
           0.8078379165382934, -3.140869140625}, {
           0.8081642862838345, -0.2183837890625}, {0.8085808480170638, 
           3.8764267748218493`}}], 
          LineBox[{{0.8179984673829503, 3.8764267748218493`}, {
           0.8181076578567175, 1.0343017578125}, {
           0.8182599370633639, -3.065185546875}, {
           0.8182883393764847, -3.8679023580550345`}}], 
          LineBox[{{0.1817272939045522, 3.8764267748218493`}, {
           0.18187421944202753`, -0.86737060546875}, {
           0.18197036793643573`, -3.8679023580550345`}}], 
          LineBox[{{2.030298062808626*^-8, 3.8764267748218493`}, {
           2.0302981142416047`*^-8, -3.8679023580550345`}}], 
          LineBox[{{0.16160688209592633`, 3.8764267748218493`}, {
           0.16163097286854014`, -3.8679023580550345`}}], 
          LineBox[{{0.8383660245607678, 3.8764267748218493`}, {
           0.838393435482106, -3.8679023580550345`}}], 
          LineBox[{{0.040404812626239045`, 3.8764267748218493`}, {
           0.04040481262628517, -3.8679023580550345`}}], 
          LineBox[{{0.06060612820967904, 3.8764267748218493`}, {
           0.060606128212474, -3.8679023580550345`}}], 
          LineBox[{{0.12121286969220597`, 3.8764267748218493`}, {
           0.12121297045055318`, -3.8679023580550345`}}], 
          LineBox[{{0.14141432691195624`, 3.8764267748218493`}, {
           0.14141611092447323`, -3.8679023580550345`}}], 
          LineBox[{{0.8888879763425114, -3.8679023580550345`}, {
           0.8888879986566915, 3.8764267748218493`}}], 
          LineBox[{{0.909089884503758, -3.8679023580550345`}, {
           0.9090898852965099, 3.8764267748218493`}}], 
          LineBox[{{0.9494937890155924, -3.8679023580550345`}, {
           0.949493789015964, 3.8764267748218493`}}], 
          LineBox[{{0.9898997032140703, -3.8679023580550345`}, {
           0.9898997032140712, 3.8764267748218493`}}], 
          LineBox[{{0.9913981145155889, 3.8764267748218493`}, {
           0.9913981145155897, -3.8679023580550345`}}], 
          LineBox[{{0.010097845527341894`, -3.8679023580550345`}, {
           0.010097845527342685`, 3.8764267748218493`}}], 
          LineBox[{{0.05050554956806521, -3.8679023580550345`}, {
           0.05050554956843197, 3.8764267748218493`}}], 
          LineBox[{{0.13131507176938365`, -3.8679023580550345`}, {
           0.13131552039764222`, 3.8764267748218493`}}], 
          LineBox[{{0.1716737437907254, -3.8679023580550345`}, {
           0.17175251519678683`, 3.8764267748218493`}}], 
          LineBox[{{0.8282439451250548, -3.8679023580550345`}, {
           0.8283370975032753, 3.8764267748218493`}}], 
          LineBox[{{0.8989868892992502, 3.8764267748218493`}, {
           0.8989868935746002, -3.8679023580550345`}}], 
          LineBox[{{0.9191904573885733, 3.8764267748218493`}, {
           0.9191904575129046, -3.8679023580550345`}}], 
          LineBox[{{0.9292928684757547, -3.8679023580550345`}, {
           0.929292868496807, 3.8764267748218493`}}], 
          LineBox[{{0.003016925718033778, -3.8679023580550345`}, {
           0.00301692571803387, 3.8764267748218493`}}], 
          LineBox[{{0.9393902233313263, 3.8764267748218493`}, {
           0.9393902233340417, -3.8679023580550345`}}], 
          LineBox[{{0.9595934491090583, 3.8764267748218493`}, {
           0.9595934491091024, -3.8679023580550345`}}], 
          LineBox[{{0.020203926277660295`, 3.8764267748218493`}, {
           0.020203926277661162`, -3.8679023580550345`}}], 
          LineBox[{{0.08081201015494414, 3.8764267748218493`}, {
           0.0808120102760749, -3.8679023580550345`}}], 
          LineBox[{{0.10101347727951923`, 3.8764267748218493`}, {
           0.10101348129456393`, -3.8679023580550345`}}], 
          LineBox[{{0.848478403613854, -3.8679023580550345`}, {
           0.848485988291281, 3.8764267748218493`}}], 
          LineBox[{{0.8686831772023542, -3.8679023580550345`}, {
           0.8686836615502448, 3.8764267748218493`}}], 
          LineBox[{{0.030304159056050994`, -3.8679023580550345`}, {
           0.03030415905605674, 3.8764267748218493`}}], 
          LineBox[{{0.07070771185263316, -3.8679023580550345`}, {
           0.07070771187210757, 3.8764267748218493`}}], 
          LineBox[{{0.09090939977898825, -3.8679023580550345`}, {
           0.09090940050518982, 3.8764267748218493`}}], 
          LineBox[{{0.11111194514631374`, -3.8679023580550345`}, {
           0.11111196631474306`, 3.8764267748218493`}}], 
          LineBox[{{0.15151162663690868`, -3.8679023580550345`}, {
           0.15151830166368094`, 3.8764267748218493`}}], 
          LineBox[{{0.8585838882479911, 3.8764267748218493`}, {
           0.8585858722962403, -3.8679023580550345`}}], 
          LineBox[{{0.8787870644346589, 3.8764267748218493`}, {
           0.8787871711715828, -3.8679023580550345`}}], 
          LineBox[{{0.97979736494493, 3.8764267748218493`}, {
           0.9797973649449309, -3.8679023580550345`}}], 
          LineBox[{{0.008668904437078993, 3.8764267748218493`}, {
           0.00866890443707975, -3.8679023580550345`}}], 
          LineBox[{{0.9969622198172121, -3.8679023580550345`}, {
           0.9969622198172122, 3.8764267748218493`}}], 
          LineBox[{{0.9696956836069869, -3.8679023580550345`}, {
           0.9696956836069928, 3.8764267748218493`}}]},
         Annotation[#, "Charting`Private`Tag#2"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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               "]]}, "Charting`Private`Tag#1"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              
              Line[{{0.20136647375992411`, 3.8764267748218493`}, {
               0.20143266050618266`, 3.56414794921875}, {0.20209486738003835`,
                0.65509033203125}, {
               0.20225740484651955`, -0.00885009765625}, {
               0.20241994231300076`, -0.650146484375}, {
               0.20274501724596314`, -1.85748291015625}, {
               0.20290755471244432`, -2.426025390625}, {
               0.20307009217892552`, -2.96942138671875}, {
               0.20336250492214264`, -3.8679023580550345`}}], 
              Line[CompressedData["
1:eJxTTMoPSmViYGAQBWIQbSsn+rXk8in7Q3vnnyr7yHcgJ7n55pO7p+yBUgwL
hLkOLOgXCLB4DOEzdLAfuLJ77rHuFxB+wg+WA9YiOzYbfYbwHZb/38919E1v
A8dpML/h/rP9dh8rWa7wQvgMIrf2F8myV6sLQ/kGu/bfKlXMOCcL5cvdt1+p
FuYkYwzhO7j8tN/2XdVWxALCP8D51/7Qia/mPLYQ/oMwBoc7WVN1/7hB+ceY
HV5ap2p88Yby01kdvvGYKr8JgLrnHZuDwPorEneioOZf4nSQbVgifCUear8S
t4NWYAnfmRQIPyGJx8FMyYXzSCaEr9DG6+D8WZhlTx7UvPl8Du/OixmuKTht
v3taJdcbJn4HAP0Hd0Y=
               "]], 
              Line[CompressedData["
1:eJxM13dcze/7OPBIpJQkISErWVFWSFdIGkZC0pItbyMkSagkWUlCQkNpSyqk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               "]], 
              
              Line[{{0.7960904824015622, 3.8764267748218493`}, {
               0.796197167785655, 3.68341064453125}, {0.7963505983341082, 
               3.38232421875}, {0.7966574594310145, 2.7252197265625}, {
               0.7968108899794677, 2.362548828125}, {0.796964320527921, 
               1.98388671875}, {0.7972711816248275, 1.1702880859375}, {
               0.7978849038186403, -0.66961669921875}, {
               0.7980353201151107, -1.16168212890625}, {
               0.7981857364115812, -1.6680908203125}, {
               0.7984865690045222, -2.72125244140625}, {
               0.7987956644325789, -3.8679023580550345`}}], 
              
              Line[{{0.1914995742147114, -3.8679023580550345`}, {
               0.19166510911681145`, -1.892578125}, {0.1918306608352754, 
               0.0267333984375}, {0.19216176427220322`, 3.6824951171875}, {
               0.19218030503929434`, 3.8764267748218493`}}], 
              
              Line[{{0.8077519870371465, -3.8679023580550345`}, {
               0.8078379165382934, -3.140869140625}, {
               0.8081642862838345, -0.2183837890625}, {0.8085808480170638, 
               3.8764267748218493`}}], 
              
              Line[{{0.8179984673829503, 3.8764267748218493`}, {
               0.8181076578567175, 1.0343017578125}, {
               0.8182599370633639, -3.065185546875}, {
               0.8182883393764847, -3.8679023580550345`}}], 
              
              Line[{{0.1817272939045522, 3.8764267748218493`}, {
               0.18187421944202753`, -0.86737060546875}, {
               0.18197036793643573`, -3.8679023580550345`}}], 
              
              Line[{{2.030298062808626*^-8, 3.8764267748218493`}, {
               2.0302981142416047`*^-8, -3.8679023580550345`}}], 
              
              Line[{{0.16160688209592633`, 3.8764267748218493`}, {
               0.16163097286854014`, -3.8679023580550345`}}], 
              
              Line[{{0.8383660245607678, 3.8764267748218493`}, {
               0.838393435482106, -3.8679023580550345`}}], 
              Line[{{0.040404812626239045`, 3.8764267748218493`}, {
               0.04040481262628517, -3.8679023580550345`}}], 
              
              Line[{{0.06060612820967904, 3.8764267748218493`}, {
               0.060606128212474, -3.8679023580550345`}}], 
              
              Line[{{0.12121286969220597`, 3.8764267748218493`}, {
               0.12121297045055318`, -3.8679023580550345`}}], 
              
              Line[{{0.14141432691195624`, 3.8764267748218493`}, {
               0.14141611092447323`, -3.8679023580550345`}}], 
              
              Line[{{0.8888879763425114, -3.8679023580550345`}, {
               0.8888879986566915, 3.8764267748218493`}}], 
              
              Line[{{0.909089884503758, -3.8679023580550345`}, {
               0.9090898852965099, 3.8764267748218493`}}], 
              
              Line[{{0.9494937890155924, -3.8679023580550345`}, {
               0.949493789015964, 3.8764267748218493`}}], 
              
              Line[{{0.9898997032140703, -3.8679023580550345`}, {
               0.9898997032140712, 3.8764267748218493`}}], 
              
              Line[{{0.9913981145155889, 3.8764267748218493`}, {
               0.9913981145155897, -3.8679023580550345`}}], 
              
              Line[{{0.010097845527341894`, -3.8679023580550345`}, {
               0.010097845527342685`, 3.8764267748218493`}}], 
              
              Line[{{0.05050554956806521, -3.8679023580550345`}, {
               0.05050554956843197, 3.8764267748218493`}}], 
              
              Line[{{0.13131507176938365`, -3.8679023580550345`}, {
               0.13131552039764222`, 3.8764267748218493`}}], 
              
              Line[{{0.1716737437907254, -3.8679023580550345`}, {
               0.17175251519678683`, 3.8764267748218493`}}], 
              
              Line[{{0.8282439451250548, -3.8679023580550345`}, {
               0.8283370975032753, 3.8764267748218493`}}], 
              
              Line[{{0.8989868892992502, 3.8764267748218493`}, {
               0.8989868935746002, -3.8679023580550345`}}], 
              
              Line[{{0.9191904573885733, 3.8764267748218493`}, {
               0.9191904575129046, -3.8679023580550345`}}], 
              
              Line[{{0.9292928684757547, -3.8679023580550345`}, {
               0.929292868496807, 3.8764267748218493`}}], 
              
              Line[{{0.003016925718033778, -3.8679023580550345`}, {
               0.00301692571803387, 3.8764267748218493`}}], 
              
              Line[{{0.9393902233313263, 3.8764267748218493`}, {
               0.9393902233340417, -3.8679023580550345`}}], 
              
              Line[{{0.9595934491090583, 3.8764267748218493`}, {
               0.9595934491091024, -3.8679023580550345`}}], 
              
              Line[{{0.020203926277660295`, 3.8764267748218493`}, {
               0.020203926277661162`, -3.8679023580550345`}}], 
              
              Line[{{0.08081201015494414, 3.8764267748218493`}, {
               0.0808120102760749, -3.8679023580550345`}}], 
              
              Line[{{0.10101347727951923`, 3.8764267748218493`}, {
               0.10101348129456393`, -3.8679023580550345`}}], 
              
              Line[{{0.848478403613854, -3.8679023580550345`}, {
               0.848485988291281, 3.8764267748218493`}}], 
              
              Line[{{0.8686831772023542, -3.8679023580550345`}, {
               0.8686836615502448, 3.8764267748218493`}}], 
              
              Line[{{0.030304159056050994`, -3.8679023580550345`}, {
               0.03030415905605674, 3.8764267748218493`}}], 
              
              Line[{{0.07070771185263316, -3.8679023580550345`}, {
               0.07070771187210757, 3.8764267748218493`}}], 
              
              Line[{{0.09090939977898825, -3.8679023580550345`}, {
               0.09090940050518982, 3.8764267748218493`}}], 
              
              Line[{{0.11111194514631374`, -3.8679023580550345`}, {
               0.11111196631474306`, 3.8764267748218493`}}], 
              
              Line[{{0.15151162663690868`, -3.8679023580550345`}, {
               0.15151830166368094`, 3.8764267748218493`}}], 
              
              Line[{{0.8585838882479911, 3.8764267748218493`}, {
               0.8585858722962403, -3.8679023580550345`}}], 
              
              Line[{{0.8787870644346589, 3.8764267748218493`}, {
               0.8787871711715828, -3.8679023580550345`}}], 
              
              Line[{{0.97979736494493, 3.8764267748218493`}, {
               0.9797973649449309, -3.8679023580550345`}}], 
              
              Line[{{0.008668904437078993, 3.8764267748218493`}, {
               0.00866890443707975, -3.8679023580550345`}}], 
              
              Line[{{0.9969622198172121, -3.8679023580550345`}, {
               0.9969622198172122, 3.8764267748218493`}}], 
              
              Line[{{0.9696956836069869, -3.8679023580550345`}, {
               0.9696956836069928, 3.8764267748218493`}}]}, 
             "Charting`Private`Tag#2"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1}, {-3.8679023580550345`, 
              3.8764267748218493`}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 1}, {-3.8679023580550345`, 
             3.8764267748218493`}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.95, 0.627, 0.1425], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC
tixlqScp+8wg2XfmPdtcS7Lzu/7y+X7em3n3nnvuuecNGcdLh89wsLGxzbKz
sS39HYyPqRDNNNY9NT5R6cjroVt+wnCkt28jfPhqI+WtfxDCy0XC8/rUwaxz
L5+6/kkYWVhofddnCEJt13QF9C/B2xdXuF70WULBgQXzYb0AmGFueR7Zdxqs
eHYrJOk9hAQBvu6IvitwxDriXC68gbnY6ZCHfYGwQnL39RntdDB6/eBaacET
EEz2HfPbXQRi66kMevVrULQKyM/gL4On85HMOOt4OD6zc89ADB2GjIsNfTOT
QMmIw7iksQ7MnJ/21GekwZ6W/Zw9oQ2g7aHdnyDwCVZxqu30cG8B6ZAzR3Vz
s8GgznrvO/kOCF3ePbBG9TNY2psZaUEXNOX0vQvoygPaOdfG7Llu+MjQvrHZ
qRBsudUFgkN7gW6wr2Zr8zfYujlqUnG2D4ZGRuS6iovgku36HbOeJGR59Y1X
shdDS1xYstk3CliPY+qvH/sBe1PvmHrzDECN3acrbWklYMQjvyirMggTtu4b
Tgz+BNUtAq72m4fgwfBo73uDUjBynYyLEx8G5y/rvggGlsHpA5/aqluHYcjj
yzW/u2XgY7w2u7VjGC4rWe2kHpSBiYC6S3/3MPi/vpf7/XkZSJW8uDlHDUNE
0Ey2Z1oZ+G3ZqcE7MQz5hxozm5vKoOIIX1QhPwsE+yNTElTKQUmKUR+qxYJs
cb43uu3loPKqmT/rIQso4+cij3vKoUL5zaTyYxasuyx3v48qB1fm1cr4JywI
rACf++PlkK6VuiX8BQsO+3laNvNUwA7VyIa971gw2tq23Eu9Aipq1F5Z57Jg
a2yGe+rdCugWmi3tbGaBY9Vuki28AsJfrQ9a08aCZ1MV9laRFeDmsV3WvIMF
C4f6zGZjKiAhL04ovYcF1exr5UyzKkBI3/zhsSEWuJwObOptq4CDDo0rD86z
IEne2mCdeiWk+FmveyOJIHdSbvfqXZWQbJ793l0KQXHZxE7+3ZWwaq3kET0Z
BK0Xnm6Z21MJmh5v5ZplEaxM/y3WalcJc6nXwiaVEHjttEQvb1fC9f7KfU2a
CIxMDr2SqK0EtRcX/+20QmAhLh21qqESONlaBGhHEJwYQI/4WishxF/cxNEG
gff9h3dm+yqh4N072WA7BCkM2uWW6UroOn7YL9sBgfDR/aYvZapgeE98WJ4L
gs7zZv/WelRB5aBx5PFABHtMzwvc8KoClfT6gbogBKkKd2W7/KrAPF9R0DQE
gS/583BiSBVcci/8rByKQOSMfrr6qyow80+NbApHYOaw65x5aRWsSCiyLX+B
IBNsAtKrquCkcpGD5EsEYlJez4Rrq0CM85/apVcI+tqyShpbqyB4X8J2/jcI
bh7bJnNmrAr4nj7IVIpHkGMt33xdshqCTry8xJaGYN0O49HODdXgV2a4UjUd
wW0RJx4jhWr4IFHgczIDwaHfb3esUK+GecHihJxPCAYsJCOfmVRDJ2Pg7N7P
CKT3rzZPv1INCbsmXdmKEIQZcnzrLK+GX52v/iujI6goPX2UolXD8ZiNmnEM
BCvMf/5FddXQEaHi7luDINTqrtJiWzXk3f7AL1eH4O4ZwReSY9UgPZsw7/gH
QfCdtZ52a2kg3/c3+1YrghI+fyFHKRq0ZY/TdNoQcEW0JZ+XpYENf/bkBHbQ
89gu7600UNpnftWxA88nSf5glAENTLwSpGS7cTwq1RR/X6DB3stFm8xIBEUH
n/xsuUQDyUS6AhOb7feEQ48nDVicMztvUggCWr9Ejd2ggdMP35tp/QhuDOty
/xdJg7/tynnjgwi+ecTGij2ngSuXiOLNIQTzE+w60jE0WLjN+LBiGIH/Qsnl
bYl4vL1v6OIsBH5C+zr3F9DgweGC79IjCPIjP/odKaKBRqBtbAz2zBrBNfY/
afC0/u59sVGcH9I1+13oNGDjDn7AM4bzUdWmIKyHBp+0ZFRrxnF+W55+VspH
h38SM1NckwiczHKpnJV0aPtk0OKAfVifVztehA7amyTa87G3bUvvuClFB9eP
Z43PTyGgVswqaKnTYeuFlhfp0wj+sB/wU9hFh/zzIjfnsH9OxVaL7qaD8eYv
IXtnEMQx91we30OH85fkJxqwjxU/LvhoR4cVSNW6exbna16fwMuTdJhm2w3S
cwh2ZexyCHWiQ2pBhMlx7NWv27nOutEhbztXIQ2b46mqjdUVOtzWk5Tnnkcw
ei8oycCbDiNhHhma2DQfxQNSt+lQlUzIxWAXul+PFbhDh5CPWSursJOdGWOz
9/Dn9zRITGPfOeIV1fiUDgI1cY/3L+D4mJf3/4qmA41mvOCJ7WS4TifnDR1U
AgTDorH1VIs7HyXRwWcvD0cn9lYFEfWbaXTw3r+dtYi9TupcsFsWHUy7A2Yk
F3H+ihY0HP9CBwNDprwW9jS/oOK+r3SoLz97xQqb4jzlr1lMh8eDix0u2H9m
smibSumwWSvDJRC7ZHSZjGgVHZxOe4k/x/5EHb3CVYPjr2rBTMaO7fj4c6ye
DuGhUFeA/fDP4pquZjoku+l1VmDfqD58gd5Bh9KFwwKN2C4l7wu/9uL18fSy
68G2K5gS/NhPh3i55NIhbJNP+05Fs+gQFDxs9Rd7R9LrrLvjdHi7QY9jBlsu
dpT72hQdfie+pc9jr44ysj0zTwex1v++LmKzl+6r38zOgKC4iIolextcXYjl
ZMD+GcmppfvR19ebxJYx8HjyjJe+76xm2aGHPAw4QzplLT2vPXvUZxkfA3KX
S+kPYx9RkXh3XYAB5+kUa2m8VSlGVX+FGGBeUVy4NB/DTW4TF4UZYBabmlyJ
nR8Xtb5nNQMuiiR/KcRWXf99r90aBjTy5jFTsD+8GHCvEWdAvU+LxgtsKZHV
0SbrGPDruvC7IOxnEbt/EOsZsMXspKrb4lI9iRBJ28iAyWhI08ZWDOuqspNn
gJi2gNzS+tLuqwUt38wAi5T/nOfw+os+/j3msBXPT7HMPBs7/4lcsoAqA/LV
AkbuY5+I8jqVr86AHXNeJ09jJ7wSY6zSZMB9D403vNhmb87fKdJmQNx+Nvcm
nJ+st/m6rrr48/vE+ROxdyQeT/1lyICsfL0EbexfmbFhPgcYEKvPcDTD++NC
9qi+vAUD5mfcwnmwBT8bTNdaMkCl1ze4BO8368JeZ+WjDMhUGa7fjs38pWDc
cZoB62PL2Bbw/g0r95m7d5YBH3KO303G3lpVkbXrPAN0S+60WGF71bhseOzG
gLdP8nvjcD1Y3pqxaOTDALYF/UBZXC8+trN/HvVjgHqp9jniHz4Pug67vb7B
gIMCbOK22M+Zf1snAxngnMPVfnsCgcLorvzkcAY88qP/+4rrU9V4qIfNIwbI
bhjW2ovt/q9ZgesJA/QChffRcD37MusfZf+CAbX/ntLrcb0zWfbdc2U8AwYz
Ll+oQAiGeISVvyYwQGpzkZABdgTf6Z7zSQzQOHz81mdcTxtXch/+kYbjuTqx
/CWut+ckTLd55TGg6OJLZIrrc6hKTX8LjQEXHDdF6zARRAcb9tjVMKDhaF3E
qz5cP5pzWpvqGBDxfGvMTC8eb1A0vaGRAYeR+GRGD4530+mcum4GZIS1ZCzr
QvD41r+blf8YoHxgk7F1C66Hf875mk3jeK+MehnVjCBLqeVK+Sx+vv9JnoYm
BL/ribOlbDVwOVtB7lAjgjWKoeY/VtSATizpolSP4FWthFjB+ho4NoRrGg3H
e1P4f1oyNeCn58WeVI3gqz8bX97GGnDn1Wkur8L7Sb5vPlehBuwyjtVwV+Lz
1y+t55NaDQgWnG84W4rg/Ub99OQ9NUAcXH2wmkCQ5nl2T7RbDQizGx5Rxuf7
0CE22gGPGtD+8td2JhXB5i3RRzg9a6Aw+o30r48I4vuqnVx8aqBkceecdTKO
l/X2QN2gGshgtTHt3yMI2cVV1P2iBppoDTFsuP+wn3urqfSzBpzvPdKMxv1N
dKP2947SGrA486RfGvc/jdn1Jk8qauCBzDOH97fweeTKaztPr4GX19njE2/g
9W5396I314CA+qXAR94INIog68pIDZi/7CucuYiAP6hNuVCiFnLXuPZutEDw
VnxEyGl9LYgNL++4eBDvn3SOcT6ZWuj0KPiSuR/ByeZNecfka2H3QC/vTjNc
X1UuG8+q1AJl+URewRCBbduyE1p7asHJ0dMpXgPHa4fKwy/utTDLbVLLLYpA
t//2aPbPWlDa/RRdqWUB1OSKbiurhRt62d7HGCzQyxvQTqrA10+abdOnscAw
9HBIDL0WUk8dk1tewQKTzRskQppqYW/S413Xv7PA8vx3I5vhWgiSKF4jnMGC
c/2LUdOr68D57Ka4jnsseNTvr6vrVAfXhIVD/9NlQZFt4+jw2To4m0sdOaDN
Alap+vuY83UQWnCFJ3QXC8wSBvjm3erA9IyL1JQaCzhO2zYV+NSBaLn12q+b
WODZqu6p+bAO6JyLl7pXssCWPpCkkV8HNiaF7K+6hmF9jq2I0srfcDztvccf
/2Gokgj1/JDxG1KOlhz6kzwEBxrJzLn99SDHR6+c/z4IvA4KPtlT9eCjKd6+
9sMA9N3+WjYX9QeaLrPz5oT0w6y7RtwHowa4o9au6a9KgdrMImdfXwOYe9E/
WTQzYXfTtOFUYCMw9CdGN3v2we3AeoFL25qg7ETMZbKxB8gybgcvehNUrnKZ
2mXcDSFNa3S6/Jth2ek0DeTXCdNg+2/Dphbwu25RGWfRBg/0h3dN/GwBh0sT
+drVTXBM0Ilb6XIrFJw5f8+uqx7MvLbZjQq3wRWZq4htQy0IaGx+EJ7RBmfT
RYwLyqqA9yuX2cNj7fCHf2/mvfslIN+l8VB6th1O/hPzC3qUB9cZe06IfOgA
Keunp6wM3sLvsB/BIwqd4Pqsn+JcFUtMzzyIXe/dCaMBraeOPPhMFBwyvblQ
3QnoxdkT6RtLCMG/W+Pl13dBMrv3H4X2SmLBn/sB29UuUJUp+RotVEs0qoz3
Gld0gXOv1LsZnj+EgRrfrTrxbvhLbvvP50MTYSq+ulvYvRvW3+OeM/VtIzr3
770TXdQNvGpie8u8OolTqY9ePhDqgZAumxYFsW4iYKzKU+1MD3xTqliVVt5D
bA1WeyyV0wP223iPPjXrI3zm73p+4+uFnSaLpx/+ZhJpsf9+ljn0goLifIGx
LkV4Pgo/JpHRCydH43nIa/1Eg/OaXKllfeCTuPVMVsYAUXGvwsrFug8IfvOf
zLxBIrH5iaPs+z54MtJm+ePdECEjdGh7+Ewf7LaRfm4YOEwovk+Zr8Lv1eIz
WcgkZJhQ017+i2++D+7cdgs0Dx0mDJy/WYcu9kF325sTBx4OE46EsncQFxPO
trLadV4OE/GXeAt8BZkQ+uVSR8mnYUKeUaznvIEJ61wlEgM6hwmlR9vN9cyY
kLlwq+fZDhZRMRDf8mIfE783XFc9pckizhmtvjhuzgSn6tGTm3VYRMLkWGjC
QSZsSrpun6XPIqRPZJTyH2HCiOKn+lRzFrFaScmw6SQTOFIjHuo4soiFEmmt
y1eZENgv3ETcYxGv1keUV3oxQW+bfKNxOIvQ9l60lfNmwgKtILM8gkV4K7Vf
a/RlwpqjeeMVT1nE+KOXObo38f1Zq9Oy3rAI6oSoKt89JtzYFVQvmcUiaqf4
FOJjmSAl9q/IspFFJM7ea2S+xeM98OeVWzOL8F/gC938jgnFP7qf3GllEfJc
/ANp75lwenKuMauTRfgI8X/MS2bCIj0+dYLC85HnV6FnM0FR9JnL+mkW4WbJ
v2umjAmlXLlnOMUQYWh9n9KpYMLO+rjQLnFEiB3lfxFQyYTDA40/v0ogovgE
/wwXjQmjBz+G4PdrQuQCf6FQHRPyI37JE/KIKLzJryfXxoRq845Stu2IWJHG
b3JolAmGx3yqVh9CRJiAacL9MRy/yalXqRaI4HMN5iofZ0LjU6enRpaI4Fde
KNL/xwRlqdh5F2tECCYjTfVZJhTuWZmUeBwRwgm1SqLcJJxyvmRTcg4REq+f
C7WKkTBol+UZHYCIV/O/XcXWkgBep0SnbiJinf1/VVYSJFz7rtZmeRsR69eF
3a2WJEFaYriJOxgR0tF+7MQGfN0x7IFlGCJkn50Yf6tMwg9zoaqnTxChHC7b
4KxHgkiovkxOIo5PpufcN30SHkkfz0cfEGH3u0RG1JAEs+d8GxSSEXF37RmX
EmMS1hfVHn/8ERG9Ce/ZZfaRoPUi9bp5Jh4fIa/cfIQEL6fLdjb5iMjq9rJQ
tSGh+AhfnVsBIiq4S73u2pJQrzAqFlSIiKl9zt93HCOBo8ya/8M3RFg1JlpH
OpDwosDnYX0xjteowi3ziyRMz66b/FWBiI2rfRLeuZBw/FmjdkElIrR2llfO
uJIgLFhknlqFiHPXz4smuZMQlEyvDaMhooQ3OYXbiwT7XDk3pVpE+G9Q+vPt
Jgmi+2h1HE2IiDT2mxW5TcLXNd/r6rCTz1VKuwaSYF7Z9zquGRGNaRcvSoSQ
IFd875lmKyI0tD+yed8jwcSvmHd/ByIGLbcoqT4j4SSS+svbh4hd0uEeHlEk
HKheJfURO2SI9TnzOQldpmb25ky8HsEZRmovSVj10HbVHRLPN1f9hHosCStb
x5z6+hHx9vaT+CtvSbDyGFfwHkAE68DEQFYcCeVhQ4s8g4gIJXOvabwnQePy
e6bsECK+iWk92p6M45dq9MyYhfOtL7rhagoJnlskRsuwbTNnJXM/kpB6J/GE
GULEuOnX5B3pJBQkFXvsHUGEgp9eyc5sHE/TbdcUxxDxuG3PpOY3EhZqP0xF
TiCiIylxty9BwodWT78pbGUvnqD8IhIOEndWHvuHiFLBipXaP0joOHXBY+0k
IuZgv6JOGQlPOgMFbk8hwpQ/zd2/nIQtCUyZBuxnjYKfCyvwfEdOmyhOI0LV
g2G4u5qEB+uiKyuwz8ZZ2uvWkuCXcSn57wzOH7fsdzfqSGh5I31QaxYRbNoi
A99+4/mrlXLfwH5Z98cLGki4z933YRGberPza0AjCSNXrJ7unkPEDpfnnEVN
JIh1JkX6YDO47CL0Wkm4ajX1cxBbsib/z802Ep55D0zLzCPiQoyE5Pd2Eg7X
ZoM1NveOtiT9LhzPhJ9sediHOXRHbnWTYKG0zJ/EjqW93lHcQ0LejDDv6gWc
j84OPwyYJMj/CbF1xl4/+ZsRQ+L8s5E0eITNcce0fYoioVHlOPkFmyn6bdBy
gATvSD2TduzyBLXptEESdJpKndgXEfFxR+KyFcMk6AcjnQ3YEb8kVp9hkfDL
MIehh+1pHSFThEjYNCAqbY9ty+TaJjGK881LWOkato6Xj47XGN7P/yWMhmNL
LWOZ1oyTML6CcSUem+OZo43yBAk9reGZn7GZcg1Od/7hfFbsSi7DrsjZd7l7
koRbxM+TDdhpxkUBu6dJCH2kzcDvq8Tjeo0Hz2dIqPumP4ffZ4mrZ5Kix2dJ
aAtv6JlYGs+E5IcD8yQYX54LmV0aT/DjnKQFEqo4MvoWsKVFlv/gYqPgIOfY
In6fJrje+zFOslPAOFlcv3Sd0hhpy+egwG2LjPPS5ytLnAZFuChwTRbMXvr+
NKumKXduCpR17xUuPf9x7/5lVcsoUPGJurk0Pi/P4lWbeChYK6LBtjR+O66d
Mrd5KUj/e0p7aX66T1K2tq2goHbjBrWl+cvISuvs4qfgTsPV3ndL48l+Yhop
QMGY64nDS/GjDHltWIIUHHVr8/PCrqq77mS6kgKp0L8Ox7EzTo95xP9HQXnU
e/al9XkyfjZgUZiCuVdj9jLY3oEt9+1WU+BX0naVDRvelSSuXEPBismoxs94
/Teoa+ZcFKMANrlsjMBe9iO1+Jc4BTwl1Oaz2LTuZ23+6yiYsCDP82F/usw3
2CBJgXrmpXfNOB+fctycUpOiQOto6nP8Pk0c33B+Vb8MBRtlbXK1sAdPaZse
2YSvL//9zRjnP2003TpDgYJqlucfDuxPt2Sd+BQpEHswlPQV7yfftwIB35Up
6Mm8EqSMzdPVkb1FjYKIf548CO/XIXer4rvqFNjT7BdfYDPYyuk9GhSk/Gf6
yQA7SvrTwIudFAgWg/kDvP/lHYKkl+2mYET8jMVyXC9yzXNa7HQp+GVrKhSH
64mxJvNZOlBw85blay1sJ2ETgaMGFKybnth2BteftyV8Myl7KQjOMdgQO44I
lUydHDZTCtpcZC9sxi6KcXU/YkaBMXEuMAPXs3YvOnPBnIJ6Ry3FL6P4vNwc
WWdxGK+XzphpKq6HKSIl4QmWFAjZNkrKYWtxTJjOWlEwaur8IxrXz6Mt1kXx
NhREv30fGDCM69eDtamTx3F+ieY2bcX1+L+xtyExzhRw/VHrk8X1Pba9Vn/s
HAV3Xzo3+uD6r1LJOb/nAgX9RqyYql5EHIg/c2XEhQLbQunYiz2IuG+92cHw
MgXDXW63H3bi9S7I0Oz3p2BmVW25Gz5/5gKJIY3HOP9WPC65h8+3YnH28suR
FGzfEmmVgs+/O+kG7zOeUHDbvpytHJ+Pwi0/7ZWj8HrVrUhbKEPEZrUq2sZX
FNyoO2Vv+RMR1p2NGcIJON9MCiXiviIiXWfMcyQP7w92KqAen+eeteoWWwso
8Mkv/fQlBcfj3NUtLoV4PWOKOaPx+f8rcqqP/IbXX/4Amw3uD1oHFqw7fuD8
Oh97Jv8dzo8XfJq0agq21mSMyEcjwnFCdj6li4I3523ConA/8u2AbyxXDwUG
YokBMkGIWPuBbmjfS4EzaOon4f6l1s43TJCkIGpP+OZPuN8xKKKv8RiiIJC9
71GSDz7/7/mq7Zik4EfE6qatrrj/kGY4F/H3A/l7Gc+Tw4jQ85XjExfsh6GJ
8IIG3I+9qvNN8xDqB50plq74QXzehshNbBDuh++PsnKe7sP9waDv7eA1/WCs
W3zW0wgR8blyMWYb+mF0XHC8DPd3Z8z9an/v7IdyCfUYuijuVw50PRPV7AeF
izl5aDXu9yz2HrPV6gfZH89GBVbhemS9qrdFpx8OrBjKMhLC9zukTHTr98PG
BsmQl8vx/VdbxEb39UOCBtOXNcki0l9rnxRw6AejZIsbig0sYnpkdtD4Lh7P
JTEhDtxP7zi0/sSt0H54XZpYmfOARXim6zEKw/rB8fSxb864Hx9xDc5Wf9AP
uR/y9vwKwf31gOB1mcf9YCMlTbpeZxGNvTKC8y/7YZ2qXbDzBRbxpXGvSnZ6
PzAYCurchiziWlGk54aGfvjv7se7Y6xh4tHVdcUZygNwNKB5fZj0MKHjTbe8
4z8ABXT54L8GQ0SQw5VkoboBOLfG1UxVY5DIvbLVnVNhEHIPvDwRyj9AeP9e
5QvXBmFthlOkbgdFNKwdMNlSPQgyclK2/66TxK+0gWOnJYdAYV+lTNQ6JvHG
laOdy2UISpdfmjmV2kuICPPJ2X4fgj1jRne28vYQ67h0M8ZXDkPm36vvTd26
iKKWU2z6zsNgEH+qRkOng/jLlvHkz+dhsKNVG8bntRDCFiLPG5axgO3z83/H
tzYS1SEXHcKOs6CkbNv+Nzq/CbEVQy7BH1nAkvUfn/ZhEGxX7HXVOBFsQAdK
+5PKiNplzBtmtggOzV6+cfJiEbGdes6Zkojg0kfv/YlWmcSNOk8b/iQE3QIx
2peEMolf3w6luCYj2OvJ0b+9IoOwfspjqZKKYFSX+ZSADMLbwDtu6f9EoTGd
90OPpBEFr2z0i74iqGt+PLidPZnQtxANqK9DYJWSb61h85YI0xmr3VGP4C4V
knenKpao3USTf/4HP5/rRmeTfizhuBBMs2tCYM1ltXfC9jURlDIh2dmO4PuY
5a4TnNFEKXd94UA/ghMx0gFNNo+IlaMZK80HEZjxfbV2NIggbFvvO6UOITi6
1XK67mg4QX0y4ndHCNRPDvIOcYYRKxyyj038RaB4ritwme0t4vC+iHTrfwiM
hiLWrrK7Qbzc4cL5ZRLBJmbBmCiXL6EsIJviO4PgFk1LU9zWg/CcWlxomUVg
6aDyVIXrAlHY03J49zwC2+wKmrLtKYKL/jnh9QICrt5XQQdtLYj9+ZEzS7+j
OziurXbk9fj2P2KYO68=
           "]]}, "Charting`Private`Tag#1"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          
          Line[{{0.20136647375992411`, 3.8764267748218493`}, {
           0.20143266050618266`, 3.56414794921875}, {0.20209486738003835`, 
           0.65509033203125}, {0.20225740484651955`, -0.00885009765625}, {
           0.20241994231300076`, -0.650146484375}, {
           0.20274501724596314`, -1.85748291015625}, {
           0.20290755471244432`, -2.426025390625}, {
           0.20307009217892552`, -2.96942138671875}, {
           0.20336250492214264`, -3.8679023580550345`}}], 
          Line[CompressedData["
1:eJxTTMoPSmViYGAQBWIQbSsn+rXk8in7Q3vnnyr7yHcgJ7n55pO7p+yBUgwL
hLkOLOgXCLB4DOEzdLAfuLJ77rHuFxB+wg+WA9YiOzYbfYbwHZb/38919E1v
A8dpML/h/rP9dh8rWa7wQvgMIrf2F8myV6sLQ/kGu/bfKlXMOCcL5cvdt1+p
FuYkYwzhO7j8tN/2XdVWxALCP8D51/7Qia/mPLYQ/oMwBoc7WVN1/7hB+ceY
HV5ap2p88Yby01kdvvGYKr8JgLrnHZuDwPorEneioOZf4nSQbVgifCUear8S
t4NWYAnfmRQIPyGJx8FMyYXzSCaEr9DG6+D8WZhlTx7UvPl8Du/OixmuKTht
v3taJdcbJn4HAP0Hd0Y=
           "]], 
          Line[CompressedData["
1:eJxM13dcze/7OPBIpJQkISErWVFWSFdIGkZC0pItbyMkSagkWUlCQkNpSyqk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           "]], 
          
          Line[{{0.7960904824015622, 3.8764267748218493`}, {0.796197167785655,
            3.68341064453125}, {0.7963505983341082, 3.38232421875}, {
           0.7966574594310145, 2.7252197265625}, {0.7968108899794677, 
           2.362548828125}, {0.796964320527921, 1.98388671875}, {
           0.7972711816248275, 1.1702880859375}, {
           0.7978849038186403, -0.66961669921875}, {
           0.7980353201151107, -1.16168212890625}, {
           0.7981857364115812, -1.6680908203125}, {
           0.7984865690045222, -2.72125244140625}, {
           0.7987956644325789, -3.8679023580550345`}}], 
          
          Line[{{0.1914995742147114, -3.8679023580550345`}, {
           0.19166510911681145`, -1.892578125}, {0.1918306608352754, 
           0.0267333984375}, {0.19216176427220322`, 3.6824951171875}, {
           0.19218030503929434`, 3.8764267748218493`}}], 
          
          Line[{{0.8077519870371465, -3.8679023580550345`}, {
           0.8078379165382934, -3.140869140625}, {
           0.8081642862838345, -0.2183837890625}, {0.8085808480170638, 
           3.8764267748218493`}}], 
          
          Line[{{0.8179984673829503, 3.8764267748218493`}, {
           0.8181076578567175, 1.0343017578125}, {
           0.8182599370633639, -3.065185546875}, {
           0.8182883393764847, -3.8679023580550345`}}], 
          
          Line[{{0.1817272939045522, 3.8764267748218493`}, {
           0.18187421944202753`, -0.86737060546875}, {
           0.18197036793643573`, -3.8679023580550345`}}], 
          
          Line[{{2.030298062808626*^-8, 3.8764267748218493`}, {
           2.0302981142416047`*^-8, -3.8679023580550345`}}], 
          
          Line[{{0.16160688209592633`, 3.8764267748218493`}, {
           0.16163097286854014`, -3.8679023580550345`}}], 
          
          Line[{{0.8383660245607678, 3.8764267748218493`}, {
           0.838393435482106, -3.8679023580550345`}}], 
          
          Line[{{0.040404812626239045`, 3.8764267748218493`}, {
           0.04040481262628517, -3.8679023580550345`}}], 
          
          Line[{{0.06060612820967904, 3.8764267748218493`}, {
           0.060606128212474, -3.8679023580550345`}}], 
          
          Line[{{0.12121286969220597`, 3.8764267748218493`}, {
           0.12121297045055318`, -3.8679023580550345`}}], 
          
          Line[{{0.14141432691195624`, 3.8764267748218493`}, {
           0.14141611092447323`, -3.8679023580550345`}}], 
          
          Line[{{0.8888879763425114, -3.8679023580550345`}, {
           0.8888879986566915, 3.8764267748218493`}}], 
          
          Line[{{0.909089884503758, -3.8679023580550345`}, {
           0.9090898852965099, 3.8764267748218493`}}], 
          
          Line[{{0.9494937890155924, -3.8679023580550345`}, {
           0.949493789015964, 3.8764267748218493`}}], 
          
          Line[{{0.9898997032140703, -3.8679023580550345`}, {
           0.9898997032140712, 3.8764267748218493`}}], 
          
          Line[{{0.9913981145155889, 3.8764267748218493`}, {
           0.9913981145155897, -3.8679023580550345`}}], 
          
          Line[{{0.010097845527341894`, -3.8679023580550345`}, {
           0.010097845527342685`, 3.8764267748218493`}}], 
          
          Line[{{0.05050554956806521, -3.8679023580550345`}, {
           0.05050554956843197, 3.8764267748218493`}}], 
          
          Line[{{0.13131507176938365`, -3.8679023580550345`}, {
           0.13131552039764222`, 3.8764267748218493`}}], 
          
          Line[{{0.1716737437907254, -3.8679023580550345`}, {
           0.17175251519678683`, 3.8764267748218493`}}], 
          
          Line[{{0.8282439451250548, -3.8679023580550345`}, {
           0.8283370975032753, 3.8764267748218493`}}], 
          
          Line[{{0.8989868892992502, 3.8764267748218493`}, {
           0.8989868935746002, -3.8679023580550345`}}], 
          
          Line[{{0.9191904573885733, 3.8764267748218493`}, {
           0.9191904575129046, -3.8679023580550345`}}], 
          
          Line[{{0.9292928684757547, -3.8679023580550345`}, {
           0.929292868496807, 3.8764267748218493`}}], 
          
          Line[{{0.003016925718033778, -3.8679023580550345`}, {
           0.00301692571803387, 3.8764267748218493`}}], 
          
          Line[{{0.9393902233313263, 3.8764267748218493`}, {
           0.9393902233340417, -3.8679023580550345`}}], 
          
          Line[{{0.9595934491090583, 3.8764267748218493`}, {
           0.9595934491091024, -3.8679023580550345`}}], 
          
          Line[{{0.020203926277660295`, 3.8764267748218493`}, {
           0.020203926277661162`, -3.8679023580550345`}}], 
          
          Line[{{0.08081201015494414, 3.8764267748218493`}, {
           0.0808120102760749, -3.8679023580550345`}}], 
          
          Line[{{0.10101347727951923`, 3.8764267748218493`}, {
           0.10101348129456393`, -3.8679023580550345`}}], 
          
          Line[{{0.848478403613854, -3.8679023580550345`}, {0.848485988291281,
            3.8764267748218493`}}], 
          
          Line[{{0.8686831772023542, -3.8679023580550345`}, {
           0.8686836615502448, 3.8764267748218493`}}], 
          
          Line[{{0.030304159056050994`, -3.8679023580550345`}, {
           0.03030415905605674, 3.8764267748218493`}}], 
          
          Line[{{0.07070771185263316, -3.8679023580550345`}, {
           0.07070771187210757, 3.8764267748218493`}}], 
          
          Line[{{0.09090939977898825, -3.8679023580550345`}, {
           0.09090940050518982, 3.8764267748218493`}}], 
          
          Line[{{0.11111194514631374`, -3.8679023580550345`}, {
           0.11111196631474306`, 3.8764267748218493`}}], 
          
          Line[{{0.15151162663690868`, -3.8679023580550345`}, {
           0.15151830166368094`, 3.8764267748218493`}}], 
          Line[{{0.8585838882479911, 3.8764267748218493`}, {
           0.8585858722962403, -3.8679023580550345`}}], 
          
          Line[{{0.8787870644346589, 3.8764267748218493`}, {
           0.8787871711715828, -3.8679023580550345`}}], 
          
          Line[{{0.97979736494493, 3.8764267748218493`}, {
           0.9797973649449309, -3.8679023580550345`}}], 
          
          Line[{{0.008668904437078993, 3.8764267748218493`}, {
           0.00866890443707975, -3.8679023580550345`}}], 
          
          Line[{{0.9969622198172121, -3.8679023580550345`}, {
           0.9969622198172122, 3.8764267748218493`}}], 
          
          Line[{{0.9696956836069869, -3.8679023580550345`}, {
           0.9696956836069928, 3.8764267748218493`}}]}, 
         "Charting`Private`Tag#2"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 1}, {-3.8679023580550345`, 3.8764267748218493`}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[2], 
         PointBox[CompressedData["
1:eJw1lQ00lFkcxi2VtuRriS3lSF8Sqay2lMcWW0ebHTpFysZEqZzEETvreydN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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.009166666666666668], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJw1lQ00lFkcxi2VtuRriS3lSF8Sqay2lMcWW0ebHTpFysZEqZzEETvreydN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               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-1.23502430230689, 1.16023779609497}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.009166666666666668], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-1.23502430230689, 1.16023779609497}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.009166666666666668], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.009166666666666668], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJw1lQ00lFkcxi2VtuRriS3lSF8Sqay2lMcWW0ebHTpFysZEqZzEETvreydN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           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-1.23502430230689, 1.16023779609497}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.009166666666666668], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 1}, {-3.8679023580550345`, 3.8764267748218493`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.9482220612863827`*^9, 3.948222067343527*^9}},
 CellLabel->
  "Out[768]=",ExpressionUUID->"3e3e6643-166f-47a6-a8d0-c67de6c2e4be"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{
    FractionBox["1", "1000"], 
    RowBox[{"Sum", "[", 
     RowBox[{
      SuperscriptBox[
       RowBox[{"(", 
        RowBox[{
         RowBox[{"#", ".", 
          RowBox[{"polyBasis", "[", 
           RowBox[{"Length", "[", "#", "]"}], "]"}]}], "-", 
         RowBox[{"Sin", "[", 
          RowBox[{"2", "\[Pi]", " ", "x"}], "]"}]}], ")"}], "2"], ",", 
      RowBox[{"{", 
       RowBox[{"x", ",", "0", ",", "1", ",", 
        RowBox[{"1", "/", "1000"}]}], "}"}]}], "]"}]}], "&"}], "/@", 
  RowBox[{"{", 
   RowBox[{
    RowBox[{"as", "[", 
     RowBox[{"[", "6", "]"}], "]"}], ",", 
    RowBox[{"as", "[", 
     RowBox[{"[", 
      RowBox[{"-", "1"}], "]"}], "]"}]}], "}"}]}]], "Input",
 CellChangeTimes->{{3.94822171756528*^9, 3.948221730141535*^9}},
 CellLabel->
  "In[767]:=",ExpressionUUID->"0e06d7b5-aef2-4721-9794-4d08e86b51b0"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{"0.0001747748010822166`", ",", "0.007238437881124538`"}], 
  "}"}]], "Output",
 CellChangeTimes->{3.948221776710291*^9, 3.948222062852532*^9},
 CellLabel->
  "Out[767]=",ExpressionUUID->"d9e07b9d-4c99-4596-8430-98b40a9824db"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"biasVarianceCurve2", "=", 
  RowBox[{"ListLogPlot", "[", 
   RowBox[{
    RowBox[{
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{"Length", "[", "#", "]"}], ",", 
        RowBox[{
         FractionBox["1", "1000"], 
         RowBox[{"Sum", "[", 
          RowBox[{
           SuperscriptBox[
            RowBox[{"(", 
             RowBox[{
              RowBox[{"#", ".", 
               RowBox[{"polyBasis", "[", 
                RowBox[{"Length", "[", "#", "]"}], "]"}]}], "-", 
              RowBox[{"Sin", "[", 
               RowBox[{"2", "\[Pi]", " ", "x"}], "]"}]}], ")"}], "2"], ",", 
           RowBox[{"{", 
            RowBox[{"x", ",", "0", ",", "1", ",", 
             RowBox[{"1", "/", "1000"}]}], "}"}]}], "]"}]}]}], "}"}], "&"}], "/@", 
     RowBox[{"Join", "[", 
      RowBox[{
       RowBox[{"as", "[", 
        RowBox[{"[", 
         RowBox[{";;", 
          RowBox[{"Length", "[", "testdata", "]"}]}], "]"}], "]"}], ",", 
       RowBox[{"Reverse", "@", 
        RowBox[{"as", "[", 
         RowBox[{"[", 
          RowBox[{
           RowBox[{
            RowBox[{"Length", "[", "testdata", "]"}], "+", "1"}], ";;"}], 
          "]"}], "]"}]}]}], "]"}]}], ",", 
    RowBox[{"Joined", "->", "True"}], ",", 
    RowBox[{"PlotRange", "->", "All"}], ",", 
    RowBox[{"ImageSize", "->", "250"}], ",", 
    RowBox[{"AxesLabel", "->", 
     RowBox[{"{", 
      RowBox[{"N", ",", "\"\<MSE\>\""}], "}"}]}], ",", 
    RowBox[{"LabelStyle", "->", "Black"}], ",", 
    RowBox[{"Prolog", "->", 
     RowBox[{"Line", "[", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{"40", ",", 
          RowBox[{"Log", "[", 
           RowBox[{"4", " ", 
            SuperscriptBox["10", 
             RowBox[{"-", "1"}]]}], "]"}]}], "}"}], ",", 
        RowBox[{"{", 
         RowBox[{"40", ",", 
          RowBox[{"Log", "[", 
           SuperscriptBox["10", "18"], "]"}]}], "}"}]}], "}"}], "]"}]}], ",", 
    
    RowBox[{"Epilog", "->", 
     RowBox[{"Text", "[", 
      RowBox[{"\"\<\!\(\*StyleBox[\"M\",FontSlant->\"Italic\"]\)\>\"", ",", 
       RowBox[{"{", 
        RowBox[{"40", ",", 
         RowBox[{"Log", "[", 
          RowBox[{"1", " ", 
           SuperscriptBox["10", 
            RowBox[{"-", "2"}]]}], "]"}]}], "}"}]}], "]"}]}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQBmIQvW+/+up5WW8dWbrXbwHRF7onHQTRBdWch0D08la3
4yD6or3HCRDtx5R1E0R/W1IApiOV3WXmA+lAO3NZEK35I0h0EZDmi2OWANHa
9r62IHqdW7IDiD6w/u6SPUCaiTl0JYju3nZsLYjms7qzCUSXZffsAtEbts/c
DaJb/V1OgOh3XjNPgWiDFYGXQHQw+8KrIHpl+4kHINrjkM1TEB0RJfISRO/s
aXsPoo0uL/sMor90rAfTBtqcP0F0QdLt3yD66NWzjHuBdLX+ZyYQnWbMzg6i
RRRvcYBo3jp1XhC9e/YbMA0AEeSiIg==
  "],
 CellLabel->"In[75]:=",ExpressionUUID->"7c9d6eb3-c96d-4f11-913b-3d4f12b217fa"],

Cell[BoxData[
 GraphicsBox[{{}, 
   InterpretationBox[{
     TagBox[{{}, {}, 
       TagBox[
        {RGBColor[0.24, 0.6, 0.8], PointSize[0.009166666666666668], 
         AbsoluteThickness[2], LineBox[CompressedData["
1:eJw91Ak41Hkcx/H/skS1GyqlHFPKWRY5cs5HkpU0rsGMa45selrHUNJhG5Xy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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ]},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{}, {}, 
           Annotation[{
             Hue[0.67, 0.6, 0.6], 
             Directive[
              PointSize[0.009166666666666668], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJw91Ak41Hkcx/H/skS1GyqlHFPKWRY5cs5HkpU0rsGMa45selrHUNJhG5Xy
tGsfnkeptNKpQo5UuwlDobu0bamksRvaEtXTOqJt28f/O57H43n5/t6/L/Of
Z+ZIkoLj1BiGKfj8/f/P8a83XH/ti6VZ1j0N7C+QN/jS2XTLCGst8ApzAi2S
yTpI7PpzsaPPNMW4p2FMXeQbxiXPRPG6jmY7wxmsDWGty6uYaETmoM590Kt9
MnkubDLKZkwo1Wc9D5F8rbnTD5LNYMT59LItimwBsaRl9xyVrTC5a8i97Oh0
1gvQ23Tjctdhsg1EsiUdmaq5LQSmh5ZPTCHbYVPQ7plrbcn2kMxqLM7kkheh
Pj219ldXsgOUe9WSjdXJjujuEwqLRvRYOyFT413P1EQd1s6YV2wt47npsl6M
79LMkxJeabF2QZbspdb5JrIrbhwWNS6fpWRfbzcsa/ilbtTjI3fc7siZnVyv
Xq6FcXtAzF1TeV2gy9oTd+zOrP5brseai00/vuTIZCasAVvZgtmcCs645UCO
1CJNkDGfnXuBuVXi4+Ngzs694HS/dv3dalt2vgRpHXH3qoR27HwJhl+nNhVm
O7Jzb7x46v5FwBlndu6NBOM/onTbXdn5UtS2tvib94K1H2q2j2HUaQp73g+P
Tz2ocyczyzFyd8fEsU7l+P8vX459ma289gesGX+4VMQaNZuqj79+cn88Cum7
YGbBmlmBuybzEjZ9nMLOV2AomzP2Yow1EwDdPX5vm7LZ5yMPwHuuzPc0mVmJ
x+u2xko7ab4SnnGaIauUNOfh26xigT/DPn85D/Eal+vsv6T3QyC83+lp+Uez
RiBKn9U1VIno/Of57caiER5rRSBOmj5VNoVQH4QDMR6NhmQEQd44UGsQQX0Q
rvS8H7tK9ymCkCJc7OMppj4Y/NHARGsp9cGQ5ce9cCLLg7EhSaBjqOqD0eAh
M+xQ9SGYm+SQe0tIfQjOC3pO56j+/hBYfOVtsZnOK0Jg3O/erJ1OfSg4T161
VGykPhQnSnb/nHeS+lBsdm669ugY9aG4tbX9X6Nz1PPR7Dl10YXT1POR+n7X
VWUV9XwsvOjZkV9JPR+jjmPD2WepD0OXIsvhNt2PMOgmpPZ3l1AfhuEi9a+P
kBVh0Izfyi0nM+G4l9mSe3Q/9eHYuX9qkWsh9eHgTjLwyz9IfTj2bFp40vAQ
9RFweb3riiyP+ghsMexLWbOX+gjs4hT0OmdSHwGBnnz/9j3UC+Dr0XV242bq
Baji9x632kG9ABrnrYzDUqgXoFK/vsxmPfVC+G0t7V6XRr3w8/tlu/8lslwI
3oel7fGq5yfEHcfKqv2rqI9EeNqp6TVLqY+Eedpqt0KyPBLbEloeHiArIhHU
mZVnTGaiUO88v43vTn0UcnZ9k9ntSX0UtI2Oe600oz4K96c9adGxpD4aR00K
l7UaUR+NU31eBtVkeTTMBibntllQH41o+218N2vqY/DkUVJwzALqY+D9U846
74XUx+Afd1l5P92niEFtXnqXE5mJhc/EhOels6mPxc7uhLIsA+pjkX5E/kFt
JvWxsM/7/kQSnWdEGDOW9vvSeY4I+j01u41M6T4RfjfRmJBhxVokwk37Eu02
B7pfhCzmGPPahXWxCPuyYy2fkRUiDNpuM7hJr69ShPxLW3pMyIwY/o81Els8
aL8Y1RW8Y5ZkiFEy29J8I50XiWFx8ZxlKlkuhvAvV0W1ar8YaW9P2Iy40X4x
jrfmuZ2j+5RibDBulYJL+yWIfSiNiCBzJDibNLT2mi/tl6BGw9q024/2S7Cm
Xed6YwDtlyDIEXacFbRfgubG0dVbVJ+XEiT2ftC6GUT7JWCeD5QHqz4/pVjc
fXCSejDtlyL8jWZIJxlSaA/Gp/xAvUiKZ8NvhnLJcinU9AoaDel8sRRf5xtr
ZobSfimS9e+ph5OVUhRcGtCcLqD9q/BbhkHrp8/z/wCmd69O
              "]]}, "Charting`Private`Tag#1"]}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 160.}, {-8.876053103180046, 
              33.805886718807834`}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, -8.876053103180046}, 
            "ImageSize" -> {250, 250/GoldenRatio}, "Axes" -> {True, True}, 
            "LabelStyle" -> {
              GrayLevel[0]}, "AspectRatio" -> GoldenRatio^(-1), 
            "DefaultStyle" -> {
              Directive[
               PointSize[0.009166666666666668], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Exp[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
            "Primitives" -> {}, "GCFlag" -> False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListLogPlot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 160.}, {-8.876053103180046, 
             33.805886718807834`}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, -8.876053103180046}, 
           "ImageSize" -> {250, 250/GoldenRatio}, "Axes" -> {True, True}, 
           "LabelStyle" -> {
             GrayLevel[0]}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              PointSize[0.009166666666666668], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Exp[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
           "Primitives" -> {}, "GCFlag" -> False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           ListLogPlot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{}, {}, 
       Annotation[{
         Hue[0.67, 0.6, 0.6], 
         Directive[
          PointSize[0.009166666666666668], 
          RGBColor[0.24, 0.6, 0.8], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJw91Ak41Hkcx/H/skS1GyqlHFPKWRY5cs5HkpU0rsGMa45selrHUNJhG5Xy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          "]]}, "Charting`Private`Tag#1"]}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 160.}, {-8.876053103180046, 33.805886718807834`}},
         "Frame" -> {{False, False}, {False, False}}, 
        "AxesOrigin" -> {0, -8.876053103180046}, 
        "ImageSize" -> {250, 250/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {
          GrayLevel[0]}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           PointSize[0.009166666666666668], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Exp[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
        "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        ListLogPlot, "GroupHighlight" -> False|>|>, 
     "DynamicHighlight"]], {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{
    FormBox[
     TagBox["N", HoldForm], TraditionalForm], 
    FormBox[
     TagBox["\"MSE\"", HoldForm], TraditionalForm]},
  AxesOrigin->{0, -8.876053103180046},
  DisplayFunction->Identity,
  Epilog->InsetBox[
    FormBox[
    "\"\\!\\(\\*StyleBox[\\\"M\\\",FontSlant->\\\"Italic\\\"]\\)\"", 
     TraditionalForm], 
    NCache[{40, -Log[100]}, {40, -4.605170185988092}]],
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{
     Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision -> 
      15.954589770191003`, RotateLabel -> 0], 
     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImageSize->250,
  LabelStyle->GrayLevel[0],
  Method->{
   "AxisPadding" -> Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "DefaultPlotStyle" -> {
      Directive[
       RGBColor[0.24, 0.6, 0.8], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.95, 0.627, 0.1425], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.455, 0.7, 0.21], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.922526, 0.385626, 0.209179], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.578, 0.51, 0.85], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.772079, 0.431554, 0.102387], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.4, 0.64, 1.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[1., 0.75, 0.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.8, 0.4, 0.76], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.637, 0.65, 0.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.915, 0.3325, 0.2125], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.736782672705901, 0.358, 0.5030266573755369], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965], 
       AbsoluteThickness[2]]}, "DomainPadding" -> Scaled[0.02], 
    "PointSizeFunction" -> "SmallPointSize", "RangePadding" -> Scaled[0.05], 
    "OptimizePlotMarkers" -> True, "IncludeHighlighting" -> "CurrentSet", 
    "HighlightStyle" -> Automatic, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Exp[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Exp[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 160.}, {-8.876053103180046, 33.805886718807834`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Prolog->LineBox[
    NCache[{{40, -Log[
         Rational[5, 2]]}, {40, 
       Log[1000000000000000000]}}, {{40, -0.9162907318741551}, {
      40, 41.44653167389282}}]],
  Ticks->FrontEndValueCache[{Automatic, 
     Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision -> 
      15.954589770191003`, RotateLabel -> 0]}, {Automatic, {{0., 
       FormBox["1", TraditionalForm], {0.01, 0.}}, {13.815510557964274`, 
       FormBox[
        TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> SuperscriptBox],
         TraditionalForm], {0.01, 0.}}, {27.631021115928547`, 
       FormBox[
        TemplateBox[{"10", "12"}, "Superscript", SyntaxForm -> 
         SuperscriptBox], TraditionalForm], {0.01, 
       0.}}, {-27.631021115928547`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-25.328436022934504`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-23.025850929940457`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-20.72326583694641, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-18.420680743952367`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-16.11809565095832, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-13.815510557964274`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-11.512925464970229`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-9.210340371976182, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-6.907755278982137, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.605170185988091, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.3025850929940455`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      2.302585092994046, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      4.605170185988092, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      6.907755278982137, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      9.210340371976184, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      11.512925464970229`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      16.11809565095832, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      18.420680743952367`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      20.72326583694641, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      23.025850929940457`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      25.328436022934504`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      29.933606208922594`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      32.23619130191664, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      34.538776394910684`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      36.841361487904734`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      39.14394658089878, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
      41.44653167389282, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}}}]]], "Output",
 CellChangeTimes->{
  3.948213620594811*^9, {3.9482136559246073`*^9, 3.948213712831036*^9}, {
   3.948213757099923*^9, 3.9482138329013443`*^9}, {3.948213956791308*^9, 
   3.948213964720673*^9}, {3.948214143746353*^9, 3.948214168562085*^9}, 
   3.948214218457143*^9, 3.948214421717812*^9, 3.94821445497476*^9, {
   3.948214494842857*^9, 3.948214507633852*^9}, {3.9482147431504593`*^9, 
   3.948214769850012*^9}, {3.948214858458247*^9, 3.948214877048462*^9}, 
   3.9482149982918377`*^9, 3.948215071890522*^9, 3.948215291995104*^9, 
   3.948215419190838*^9, 3.9482154574113894`*^9, 3.948215516937271*^9, 
   3.948215559907177*^9, 3.9482156094636087`*^9, 3.9482157148321657`*^9, 
   3.948215748564295*^9, 3.9482159561652412`*^9, 3.948216694895289*^9, 
   3.9482169379998913`*^9, 3.948217066547081*^9, 3.948217312809943*^9, 
   3.948218719836681*^9, 3.948218833488612*^9, 3.948219455257349*^9, 
   3.948220242289995*^9, 3.9482202798556633`*^9, 3.948220620297542*^9, 
   3.948220757553961*^9, {3.948220926295884*^9, 3.948220951198298*^9}, 
   3.94822105768297*^9, 3.948221596008532*^9, 3.948222092860569*^9, 
   3.948222160512904*^9, 3.948260896298966*^9, 3.9482609695374937`*^9, 
   3.9482619704036713`*^9, {3.9482750112208643`*^9, 3.948275040866067*^9}, 
   3.948275077650091*^9, 3.948275117481819*^9, 3.948275188884832*^9, 
   3.948275307230934*^9, 3.948275396037715*^9, 3.948275520683762*^9, 
   3.948275594593666*^9, {3.948275637196106*^9, 3.948275665184217*^9}, 
   3.948275703371668*^9, 3.948275757839251*^9, 3.948275805212986*^9, 
   3.948275847617524*^9},
 CellLabel->"Out[75]=",ExpressionUUID->"1cb0d51f-f5b2-4f14-a301-4582947dec07"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{"Sin", "[", 
       RowBox[{"2", "\[Pi]", " ", "x"}], "]"}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
     RowBox[{"PlotPoints", "->", "100"}]}], "]"}], ",", 
   RowBox[{"ListPlot", "[", 
    RowBox[{"testdata", ",", 
     RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.948209166983004*^9, 3.948209177360331*^9}, {
  3.948212486614019*^9, 3.948212490612102*^9}},
 CellLabel->
  "In[783]:=",ExpressionUUID->"9112ed8c-b092-4553-8c70-b3cf97baaf69"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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               "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1}, {-0.9999999998982306, 
              0.9999999004695188}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 1}, {-0.9999999998982306, 0.9999999004695188}},
            "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 1}, {-0.9999999998982306, 0.9999999004695188}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[2], 
         PointBox[CompressedData["
1:eJw1lQs0VHkcx0XF6bEsUkrZEq3aivJaOr5iWbXl1VKmlbajhx5kifRw1uaI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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.009166666666666668], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJw1lQs0VHkcx0XF6bEsUkrZEq3aivJaOr5iWbXl1VKmlbajhx5kifRw1uaI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               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-1.01951506244093, 1.14604361453345}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.009166666666666668], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-1.01951506244093, 1.14604361453345}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.009166666666666668], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.009166666666666668], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJw1lQs0VHkcx0XF6bEsUkrZEq3aivJaOr5iWbXl1VKmlbajhx5kifRw1uaI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           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-1.01951506244093, 1.14604361453345}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.009166666666666668], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 1}, {-0.9999999998982306, 0.9999999004695188}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948209169640115*^9, 3.948209177672391*^9}, 
   3.948212491303617*^9, 3.948212723256804*^9, 3.948212755546177*^9, 
   3.9482129451866426`*^9, 3.948213385190954*^9, 3.948213464586896*^9, {
   3.948213535810399*^9, 3.948213579224333*^9}, {3.948213680818624*^9, 
   3.948213766301342*^9}, 3.948213800231462*^9, {3.9482138315979633`*^9, 
   3.948213863759679*^9}, 3.948213954711218*^9, 3.948214071537027*^9, {
   3.9482141409980183`*^9, 3.948214163369894*^9}, {3.9482142143585567`*^9, 
   3.9482142359958477`*^9}, 3.948214295489464*^9, {3.948214416123187*^9, 
   3.948214443510972*^9}, 3.948214491218445*^9, {3.9482147382234*^9, 
   3.948214758639926*^9}, {3.948214844277807*^9, 3.948214870543174*^9}, 
   3.9482149868765078`*^9, 3.948215065319427*^9, 3.948215244797098*^9, 
   3.948215284837975*^9, {3.94821541350979*^9, 3.9482154420909357`*^9}, 
   3.948215498903605*^9, 3.948215548194723*^9, 3.948215595220462*^9, 
   3.9482157080276117`*^9, 3.948215745844039*^9, 3.94821595117552*^9, 
   3.94821616772834*^9, 3.9482166862968483`*^9, 3.948216928289578*^9, 
   3.948217063714057*^9, {3.948217302079777*^9, 3.9482173098439617`*^9}, 
   3.948218716751873*^9, 3.948218827912368*^9, 3.948219449217574*^9, 
   3.9482202325622463`*^9, 3.94822026547016*^9, 3.9482205739370203`*^9, 
   3.948220688463863*^9, 3.9482209729685993`*^9, 3.9482216961959887`*^9, 
   3.9482219993874283`*^9, 3.948222253069086*^9},
 CellLabel->
  "Out[783]=",ExpressionUUID->"128a43ca-5a2f-4258-a468-df2dc1caa86b"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Sin", "[", 
        RowBox[{"2", "\[Pi]", " ", "x"}], "]"}], ",", 
       RowBox[{
        RowBox[{"Last", "[", "as", "]"}], ".", 
        RowBox[{"edgeBasis", "[", 
         RowBox[{"Length", "[", 
          RowBox[{"Last", "[", "as", "]"}], "]"}], "]"}]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
     RowBox[{"PlotPoints", "->", "100"}]}], "]"}], ",", 
   RowBox[{"ListPlot", "[", 
    RowBox[{"testdata", ",", 
     RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]], "Input",
 CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQBWIQnf0xzL4s663jka/zPUH0C5W7H0H0PmvmTyD6avvZ
vEog7XwyPR9Ey55+Ph9Ex6zlWwCiPULtdoNoz28/9oBoSW2RQyDaTUIWTFs9
+fkYRO8SW/kUrN/rzaIqIN0zr3opiBZ8yLqkG0hnvLgPphNeb6qYDqSv/NOt
BNE9BpbpM0D0z2VgWjtGOGUmkK4s100F0TEGYuqzgPTMxw5geuLH6/ZzgPS1
eCYnEH1umtbkeUB6zfZ2MB33pXIpiNY0/LYSRC836NoOouf8fLgTRPPoaewD
0RbP3PaD6E93q5YtAtm79A6YftS45gSI9t3AfxJEX7v3+QWITuxxewmiASfQ
tiU=
  "],
 CellLabel->
  "In[820]:=",ExpressionUUID->"048b0258-5171-4ae8-971c-7cda8b5e5a39"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ], 
        TagBox[
         {RGBColor[0.95, 0.627, 0.1425], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwVl3k4lV0Xxr2oFEqKyhySWUmlxEKSUImSFCmRlAZJMktmSZJkComSzGTK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           "]]},
         Annotation[#, "Charting`Private`Tag#2"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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               "]]}, "Charting`Private`Tag#1"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwVl3k4lV0Xxr2oFEqKyhySWUmlxEKSUImSFCmRlAZJMktmSZJkComSzGTK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               "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1}, {-1.1438996465971876`, 
              0.9999999004695188}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 1}, {-1.1438996465971876`, 
             0.9999999004695188}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.95, 0.627, 0.1425], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]}, "Charting`Private`Tag#1"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwVl3k4lV0Xxr2oFEqKyhySWUmlxEKSUImSFCmRlAZJMktmSZJkComSzGTK
ljHzdMzzGZ4zcY6j0CTf8/3l+l3P2mvd6177bHvvvHrH0ombi4tLhpeL6/9/
mVmpbaJFx/TuNovo+AQ3oVb7o/NkihzM+mWsvHdtQjGtIjGVlH0Qu1+tbvBM
E5r/92/8LeUo/MwyOqYp04QyXt/nfU2xAv3g+6fpNY3oN6aW+ILiCC76vY7n
lxpQtiA/MZZyH2yqoqP33ahHf9N/hT6jBEPppXU1Q6m1yHV30pMhnScwr694
Yq1LLRr+dPixdNwT+CZ/YlBLsxaVVfn4FeiFANdc5Pzz5i/oNmHlfverUDjr
t3GXObsGTa3jvrLJNAIqUkVi6vSrUf3tDTrP8mOgZlLO4QPpM9qzmKs9xPsM
OuqN5oY+fUZvfMwOSF98BnXZTt5rvT4jPaPmxCGeWPh5OyfeUeAzEjuzLv56
YSw4rCq3Su4vR32uEZFh6+NgXlpTMy60FBmlPX3YUh0P0w76vD5KRego3/3E
TeR4eDL96MXh5UJk6G5TeV7gJfg6lMj+bixEBsZyf6iXXsJ2BwWDRw6FSI9V
4c/37yUE1m7/y1IvQIf0yCEn9F9BenUhm7ohD2m/b81+7vIKXKrlNl7P/oi0
hQtaRmJfgXZ1gipm8BEdwB6td515BYpVvjfIXrlIK2bT08jHiVBRYUKaxt4j
9cnD8e2NryGwbHpwpP4dUjORKdsy9xr2lFkt2ti/Q6rFawYviiTBfGnzluFf
WUgltGfbrFMSWJTmWQzuyULK82XaWjFJUFcifedcx1ukbJt8wbc8CfaUxj0l
XH+LlBoDvRsnkyCwZE2eFc9bpKjunCywLhkCT73jMwrKRIqJZjVnNZKhZ0LU
DhEz0G7uvRMp55Phrlt40WGjDKQw+EdK7X0yOETftN27Lh3J+T/PPHkiBaYT
HG10xZKRLM2z4eW9FAgsN/5Pa+I1krW8RJ54nQL6A0q5yumJSEZht8JtRgrI
bJn/s00hAUl11XyIiUqF6We+bxb2PkfbpWiF3Z1pEKhqnfRGwQ9FS16IOLmY
Blyplf62Zl6IS7LtSrvEG+DaJOkocvc+oovnCbfcxJnRcl70viOaENA+PMWb
DlwPJUKErztC/oa/yYOZOJ+t3DRiHA4Wa59cbprMAP3JU0uBsW/g5coLLNM6
C/T7Ojxyk4pg9lj9Ue+iD2D+tUEh3boBTK+/JA0U5kPjG8HBYXYn6NzToWcL
FsOpokzD/BECyIQ6XdArLwW+gWVrg5ujELGOyNi29zOEH3WNudk6CYaizREj
Op+BoHkt1G58Ev7K5yomG38GUVl7/9PsSbht6O4sdekzpHNZ3t4nMgVWftxE
+TA8/suhU38cpkDyu+zI3onPIK+9fmPUzykomnRsMYuogBuiBOOBF9PgOnfc
WTC+AoQ29hqeSp0G+b8qa7rTKuDjmi69luxpSNjxw9CytAJWf7QcqKycBp+z
T2ptpiogvr9aIXVqGo61ZZU57a8EFPt2rZPKDIyUUd4GzFTCJv77zT/qZ8Bo
42mzSGYluM+KZ3S0z0Chc8VC/GIlzHQ2+mQRZiB0W5RB7voqyI4V3XsWmwGt
R3umCHur4JBoVXLJeiK86X0dOqVTBanLVz2jhImwQZlHnXGsCvhG+M84ihNh
ZnTAd/VCFfQl263dokaEmCM+YsqPq8Bl53/33C2I8Cue/FUrugq6uXPNTC8Q
4drcyRuQUAWKZEsF2atE0EmTqTibWwUr2VljvfeJkL0UcflyaRVcDj9Z/sGX
CMKnv691ra2CthtLsUEhRKCtNp0L6KuCeFUT472viGBlo7ESMV4Fi4IcmfXp
RKgtTMyKx6rgEvv1n+n3RFBez23+Zr4K6noMByuKiPDyys3vH35XwWjYy/+u
lROBq4qQVMpbDT/K0qVEqohwS1jPEG2shq3kjzrNX4hg2CD0nCBbDVb69Q8U
m4jwSdxbe0q1Gm7d7owb+UaE7R6kKfqBaghNGS6I7CACW75cfdW0Gpp/suiz
/URICb3YoXS/Go4XidsXEYmwfCJ7XUBDNajLPjA+zEWCvB4df6VrNSDBq7jN
XIcEHhvDX/x3uwbEIgNSGHok0DUnvB95WANqQkM7IwxJ0NVyqz8iqgZOSoSq
Np8gwXxtqiKjuAaitcgG+jYk2P9ptS/3vy+wci39ltYDEtRGNOxWffMFJpu2
10sUkKDb0KxXfbQWasLWu83JksE8db/0BLkW5rM7SkcVyPBtWdotil0L6s3P
/rYok6Eu7wcfjRfBG17R6ExNMhSKpulnaCB4HiT78bwhGeIY8wVbQhDc89Gh
f71CBuUTZsf/bqsDxTtuTgnpZHDx1L9tJVkHt2L2fArOIkP22/0vc2XrIOXT
9x9335NB9p80yUatDqRmHz0xKySDWMkP/zLDOlh/I/QtVx0Z+CXTym+71cH0
1TczrlNkMDV9MdHkXgdij68q2ZDIEP4wnFfSqw4uZey6d4xKBt4+d8v2x3Uw
NvWRS4ZNhr+hx1m7E+vg66UK6YF/ZJidn981U18Hb6177UCKAjwNir3jLbhe
tV4H+k4KiL108B3uqAPE0+v4YhcF9l5P3E3orQOz0R5nXSUKmBzq6eserIOh
wp4bVFUKXObn828fqwPmjSP3KjUo4DkBSi3TdRDyt07lmiYF3gUVBNQy6qBo
Z1t65UEK1FhRlavYdWBceuritcMUIOySHiz7UQeDxv0im3QpwN0Wo/rpXx38
ujkeec2QAvbCt0eShb+CZTnLY9NJCvTsY0ZbX/0KEVMHJasfUqDEk/K9/b96
4NJscxPupID8+VvVmuvqQeWth89SNwXiD35//FqgHo5ulY4Y7cP1/eQSvr6t
HkKW7mdlDlPgsLfEHm61euCplhzTJFOg3s/qlrZNPawcvWdi9Qev9+QrOSu/
Hvitt8vFK2Fg4GSSx19aD4ot9Xu8VDEoPtZ9372yHo5pu+ld0sAgfu0Et35j
PQSL1V+Q34+BTfhPmbGReuCbuhlbqo/BVJSG3eY1DbDBBa0QzmPAiksd8LvY
AILezsMioRhsxETOtjs0gEhntd1sOAZqh2L6tjs3wBaZzaT6KAxuTfl3l9xt
AInm6rk7zzFgqDi00kMaQFl4M09bCgbURtkv5wobwCq3Ws2/BIO125N13pY1
gMOKUMnZcgwUbm6pmq9qAGcLZ22VSgycN/N+jmpqgJtLQkeHazEg21EKv442
gI+hs41mGwbTSzlZamsaIW1UKBibxoDLVEbOZ0Mj5Kg5830hYSCdmpjxbVMj
fAysfvoCw8D+aESao1gjfFZwTtSfxcA/4T/JIulGqHlULbmNjUEq/VHyP/lG
qO0QejvHwaDmyMIOc+VGqJd2Vmz8gcH4M9fE1xqN0ORe/SlpGYO/RKIoVQvn
JqF9935jIH7g4kutw42wbSjN6PcqBocj+rc8hkaw5RkykF1LBdtxs7huo0ZI
19gEpgJUGFZUi15ji6+fZu9jyFPhp8+7DVaXG2GdoOJeYRUqbOuWjEi/1ggW
hxzUD++lgvWDjaE6dxph8nmPYqQuFQhf2QH3njTCsmGRpLI1FXpti+9P5DeC
2jv3da5hVGizdPPsLmkEJnLp3v2UCvWmio++VjRCwaj9K0ocFUoPp/m/q28E
TSGz3VfSqJAgFhnhNtgIBj5yx23KcL2jV96srDTCiTOEUGMSFUgXNrdLnmyC
Oyv718oBDRZt7sraM5vg87lfvONLNHg6xyG/M2yBdFRx71oIA65XSFRsDP4G
lCS1n58ZTCjdwf9Gb7IVWFEqh3xd5oB2LFEkjtQKPxRv+p6/PQcS7ruiKbRW
WGrKRZoecxDcBo+iv7cCL5eyMT1gDix9PKxG+dpgm4eilfWrOeCMT6zz3NcG
ppd2ue1pngP59Tf9W7XbwOTXtUL+jjmw2f/zh4ReG5xOyPqO9c5B3VNhYoNJ
G1zukfNOnZiDWL3jNZvt2+CBkWzYhsU5UE8vvPspvA2yVaUzyHIsuNqhS+WK
aYP3rfZkpMSChJ9tdmdftEG+c9ruZA0W/LOgmP5JbYP6dMn8Mzos6PxPbNeJ
kjbo3CpRXWvJAi71nOSUijYYKLr477UNC7RstYTnv7TB0Klkgwf2LEgpPrWa
8K0NyOFi31RcWXDLMXiEPNEGK3+3DyQGsSD9mZCFNqkN+JJstnuEsYBQndoc
RWsD/oOJF08/ZQEfTVl3aq4NthCG0pRfsEBna0WJ5vc26H77SyUkkQW39Y8p
h/5sg63rJJmOSSzIvNWXPrLSBidc9XMNU1iwoWn2aSBfO7TvCVPkSmeBHucR
L0GwHYTic6mTGSxwl1zns3tLOxgtd2Z/ecuC0Qc7Xbok26Huy9ZdPjks+KBg
bSixrx1qTTN3LuWzoHx5l+5W7XbIOBL0tbSQBfXfFg8K6LZDoLrDlfvFLBh3
fan217gdjgtLZcyXsUCogLB93LYdBkZeyzBrWOB50Iqd/LgdGC7PpafbWGBk
YpEi3tcOwmGBkm0YC6ZvmC6J3esApwb7HWlSbDA+cUPQ3xPnzv3nHsuw4ZNi
uPyMTwdcGxJ47izLBm9qk2VOKM7MKj4NBTaIOBkU7EvpgLtbtv1EamwwddB2
MW/pgPuO3YMzR9hQZq0w6ifZCTE8+vG7LrJB4sAxzrRsJ0QKbutZb8eGxyLX
+IwUOyFiG4ufZc8GC0LGgQ37OiFKJSW4/CobGGckXySY4Outfrofd2WDzMmt
5gX3OyHpbeGZG4/YEHmUu3a6tRNyj+7c9OkVG9paHC/Qujrh7HiJyr3XbNhg
3vSD3d8Jvz2MTfYnsyHibLjK6kQnHM++GfQljQ3hThtfSy50wghf+ffOd2z4
Rr+jtWu5E3wzTITictiw7nZvt+rfTth9eEzV+gMbQj3j1x5Z2wUPb3I5T+ax
ISRMzMNWrAv4ukyHWSVsaOT33XRVugvfzxM/isvYwBs7kXtDvgvOrd7Z/PAz
G54kps94qXdByp6XpqtVeLwEt1/gvi441rr7ekMNG3gyHLeHa3cB7UpVcFgt
7s8HhdOvDLtg34upmk31bKhXC2ekHe+CQRX3kf4GNnAX00OyzbvAr5F36VUT
GwwPmO3MP9MF7w+3PfjczIagqryaMusuaH/4PPdNIxvq9DbafLnYBYxSm6kw
PB9Xw53vjQ5dwLsgvfVuHRsC2zWVCa5dcPRWvp8+rqfudHzT2J0ucPzwoFgR
18tFWHQgeeD9Y0eoQhVsCBiveLXg3wVVDu0WM3j//nN6aza/6ALNczS5xx/Z
4LPJbPpkdRds1ZNta0hig6eVY0ILfzdwNiWIHsfnd820nFYm1A1vFWk9hx6y
wdJgvU6WSDdYGRyOUn3ABg2NgqlA6W5od59c3XyPDbQNfxQP7+uG5AEF+rgL
Gy7Wx1Xn2XaDefLnancbNujvrZ9+/qEbyhRGHNIO/n8+sSL5cj3gqyvxcXGR
BcqRMx22Cj2g/su5v/o7C7qiNZ+sU+oBrLToTxCHBaJxhAUH9R6wUD1uvnGO
Bdkp23u2HOoBKXH3OQUyC5qL0iMfneqBip8tGjZ9LFg3Xrhq9KgHWCX3S6vw
32ve5H+fOT498OZO7XhgHgssZixvp/n3gLXK+jXHc1mQiP0YXw7ugZrMtHP9
71igyNGuyo3pgYjnrUtM/PwwWfvVQyirB1TvSB+SjGLBLJ+w6pfsHhhWdr1C
CmdBLL8j6caHHniKlUZ8CGXBsNAay4b8Hli0Mx3d/5gFLuInNDwre+Cr+QOf
U49YICCVhMnW9IAHX93brQ9ZUCjDTO2u7QHFxg0dox4s+LnrqYBSYw/E6aRL
XL+Ln5+Kkw0DzT2gv8wwUrvNAn0VDZ/HrT3wo3i/2/ebLIjY00sf6+oBO+X2
LwHXWZAUcpRk24t/n7ixfNOJBbmjZeMj/Xi+53x7bRxZUK2hOGgz2AN7juW4
Gl1hQceTpO6h4R5QePiUvc8OP79GBFqtx3rgr9vF/H3nWTCnHlA/MNEDrdeU
3PadYcHGEceyfiKu37KJoXmMBVLqg/mWlB4wOfHigyawQCPY5H0vtQe26V9x
0TyE+62mltw9i89HbYWyV40FcUFLge1LPcC1fv/MHhG8vz7x7dVSvbDVc2uX
atkc5Hs4Gyfd7gVji/4c+cVZEHgyoVoj3gcP1nYUkc4yQY/+mFPa1AeD2mJB
b4bo8Jzuq6d3rR8CbY4/dX1DgzqbYc6ccz9c0/hhIJNEA1bLvnepN/rBeG3G
0kA8DUyzGfwrt/thXenvywaRNOB2tBmpftQPEZvyNbc/oIHH+D6PQ8/64Xnz
1uEmUxrYdDM+aFX1Q5wWUXbnEhVC9YztyDX94MH/bGhwHr9ffMoQikf9YEXU
iY5mUmFztM3D7439IBz7cnF5Gr+fmDQbFXf3wwumybeudiro1GdMaVD6ISOz
wM03gwpSZTYiKkIEyBTyqxgyp0Kl58CGT8IEoH8MDKIep8JZbUsuDRECHD/+
xHTZkAoR1WZMTTECUP2ixkUPUeHHV72vh+UJsI/5mst6FxWeBVeX1ygQ4Glo
aquTDBWUj2nn6SkRYHxnRtwDcSo0ri3LqFMhgOqXrIsholS4/G3vK0N1Au7f
e/mXm6nwOyI/unEPAQa/f5zLwu9v8WYqj433EWDns4Ly0nVU0BB8//DbfgIE
KJcENHLj/XXJu5lqE+DVRLBIPg8VnGIzrnYcJsCRvC9eE7xU4LKUsjmli+v1
Xh4TwO+H+we2HbU0JMCB7Tczb/JRIX1sww5bcwIwLS01lASp8IA233jDAf/+
TeZEFq5PKNetinmVAFMJtnn926iQe5NR4OZEgGdO8Zt4dlBhmkVKuudKgBlu
vsEreH+mi4N3H3kQIFqXfVUa71+G+4tERDgBRou/+CYpUaFDPMLjfSEB/FJt
C2OPUKE2wb9JsoQAO5j/iVXh983CzR6iL8oIUKD9IZikh/e/7nKFXxUBiP3L
1gcMqHDpu9Zfy0YCmG14uTJ2jAqzbdPBK0ME2Pyw23T3aSr+jtB+YblKgGQL
I8qXK1Q4NUwt+ntyAFp51MWYoVRwG+V9nmMxAC6vtPrVwqkQPb7zrqXVAIiq
6ETfjcD9nL6o/t5mAOwsTf4tRlHBmN6da+U4AIvpV4lcz6mg+/vz21yvAZDW
e5Urmozr+Ut4fM5nADp6Ux0vpFDB+x/nCpf/ANx1ypJISaVCBbeqjHXwAFRF
F8XsTKeCFn96yn8xA2A51u6u+o4KqhLhL23eDkCQF5eOYQEVzKTeefBkD4C6
wLofTwqp4CpTb5X/fgB63gh+aimiwnv5v5t58wdArEVM+mQpFeTU7sYUVAxA
uch+HptKKhhqPHWzrR6Aix90apKqqOCwN9d8Te0A/Dli+GCimgpp+8kbLjYM
wIlrp6lXa6kgpmcTtrZrAIjFN9rdGqhwSP+Bc1HPADw2vvuksJEKNoZxxy71
D4DaqKfu9yb8/m7cwVM8PAAe/z0p8PpGhTITOvHSGO7fy0iX6lb8vWC6tn7d
5AA0Kj7f+a+NCt/N5TKKp3E/al6N6ndQQfi0fqAdaQCELNJeBHdSYe8Zu8t8
2ADsl28buttFBQsrb70S2gAcio793YbznXOvJO2ZA3Dgh7Xkrm4qxJwv/cvH
GgCNS5L6ATh/utA7VjI/ACqNpKsjOHdcZFXZfx8ARdXckH09VFjvoPio9OcA
yP890E7FOb7UOWnvnwHIDDtP1unF9+f6d9X5KwOgtMVr5RnOB4p3/nvPPQiy
ypUa2n1UuMYrHpwqMAjyNjrx4f1UqHsv+DRUZhAkS8FOaZAKDzkL6TYmg7D5
lgnbdYwKlMdfvv19NQg/xi5sYVFwv+3lvAqSBmHQe7feCQx/Xx2O2H01dRBq
dyy6ZOHczDkb2pI5CP7nY2ttqfh8HWaPxn0aBL7+5hstNHz+euJodwNer21f
XTp+vs3/8iqzZA2CUYWgmxUHjx+YvLaGg+s7P/YqH+crRUZbK74Pwsri+/r1
C1TocxG6L/lrEHr2GW2vw7lkKGcPjWcIzhd4N6j+oIJn2eBHvx1D4JJN3bF2
mQp/7mplvjcagtj4r80Vf3F/3lS/UDs+BPPWdKrgChWMOg1Dik8MgfWOzesd
cY5ROuNSc2oIJNMczAT/UUGW6KbeYzMEn3JWu6+sUuG40KL0uYtDIOy6m1OO
8y09382jdkPgoXpaWICLBmVJkT9IV4dAuyjtbDnOJlY5Vcu3hqCnSndkAzcN
3ILU83zvDMEeP6ffl3GOKyhL/c99CF7DU/EynMf5GwP5Hw6BQ+O43WUeGvx3
2Mw99tEQ1IbyBpTirODS5yjiOwQKJ1TT1/PS4E7jtLF00BBwOn2IJTjHL1zX
zgoeAsvYtzzr19CgQoatpBQ6BJWW7fL2OE+c8hTPDx8CMZHvx0pw5vZbEdgX
NQT+Q2LX+dbSYPfHJ/8+Px0C7LVhuB3O5iP880dih8DkkuuHYpzvrXsx8zVu
CHKl4trWraNBwn6xfuOXQ2BzUSScD69f7ZjR2P5qCF65/HcnAPd7+rliuUXS
EHQ9mDu3hM9HmXXgte2bITCMbZIj4/vpS7bV5dsfhkC96QFCLVQgb3vKfPll
CAQ1Bpc88fNK8/cqD4UyBPXcr5wowlTIn1m1sKMNAZ/vWcnH/Hi+1tXUAcYQ
GC1uHpDC/z/IJa4ebGYPQRs12shmEYOtB1Zv5vzC/e94LNc+hMHivX/9NwSH
YTTh9kxhCgYV9L9vWVrD8FvZ2M5XAQPdkV9HfwYPg5bV4tkthynwOHhA8I7G
CDCOlEvuP0QC6rc1Dp7dIyAhDIVJa2ZAebMnv2rfCHi2EozG/kzDrQtY+Qxh
BNoCXUfEF6Zhnt4seHJ0BHzZL7lTJ6fh94bwajnKCIx2zJ5983kaNp7csK33
9wg8C0v69fbGNBzo3dilojAK/34xQ2yTp8BrR8CjGcVRyHPZVjAWNgXVV9jy
r1RGwX7IcPiSxxToL3T7cO8dhcrS18qXT06B6ZbnSiM6o3D3zvFux9VJsD+3
JST0zChg5Mztbo6TEDqy7ciM7yhUdV/4GKAyATJjXEcjA0YhzrS77eL2Caga
p5/Y93gUbjQZMQ6umYC5qerzIWGjIFGtoTQ/OQ5nscv3leJGwSd7TY5D3DjI
fc/JvZczCsp+RZkGv8ag5kdskVjuKPD/VKiXxMbAeulRRUPeKEy4p8z86huD
yF9mzSLFoxDlEiZTnDcGC6vsmcqaUZi2skuTdRiDOgHtHdx9o5CqvD6Jp2UU
bDfulPlIGAWPd/6VUyWj8GPTht1nh0bBUObHcHX6KOzeMq6VPT4KqyJT2zy8
R6Fua5PO6alRGIw9e9DiOr5eNN/w58woZPO3WaueHYWYHYEWptRROPdf2Uuy
2igoit84/50+Ciq+ymV1YqNQL2FpnzI7CjzLbwgp60bhkpSO0zH2KPTdE/nh
9WMEFqXlb7E4eL7ZyC3nZkYgZqfg/Vc/RuHvm5TrIoMjoCi39Eh/eRSWE19X
ineOwCWFb2Fxf3E9kS/sFKtHYGl3UYzOKl4nOLZAvXgEYpWSXpL/G4N836f/
7f8wAg2qt94eWDcGKbfD3hm8GgHlfUJodDPuo6XPnO39EfgFNkuyu8ega4ej
31OVEeCKvwppSmPgsi9XVl1uBNbSboXvUB2D3+acli6xEfzeGCQmtHcMRAID
hIU2jIDqdK7eyuExMMWSc+Jow2AfuBI6dGoM6osJva/eDUNDXea2aM8xKDcz
VsiUHoanBnPai01j4Oen1F2+ZQgubry2RsV9HDp56+VLuwhg6qlhyxGegIe6
jTfcOvpAUEvpaUzhBIxrd2wbmsLfBZkSsYdLJoCTGWLvN9QDZ4WEXmBlE0AX
gHdy3T2QMruUqFeN77PpIs27+LtF9V1jFqtpAkjhr06uT+0Bc1GHmlNjE0Ac
vhqsY9sDUT8TmBvXTkI9Z2EC8HdgvnMkq4pvEhqbnG5GJ3ZDH8GP48w/CXWv
h38Oh3WDWNG15VohPN6gdou7czfk3tDkuSOOf38ecSJLrhu6hnatFZfC1zv9
HZwX7oaFYzvWt8jg8YfuXNPl7obDslybpBUmoWLmbMDgdBe0jXaKde+ZhLy9
MmV8aV3AMvkq6bNvEkrXvDA897QLhD+Xyuw+MAnvR9b0ZPh2ge2LZIUAHXx9
EJNxGH+X+//3TElFbxLKz9l7hZl2Qeadx6pD+ni8Uu8awiH83W52Q1PDGM/f
Wy7jtr0LNlZd2j9mgse/U8qvXIe/uxUttMPMJqH4UYrO2uVOsE44qrPvFL7+
5KZWS6wTvHkP6k1ZTEJKT7HjrYFOSHNXNoiymgRngWNDi8WdUD8taXTQehLE
TIZMA2I7Yf0XXtNnFychAf3ZG2fWCUl+O54J2k+Cg/PZzBsqnaCsp06IcpgE
bcFPwgb8nWCKztuHO03CN1v77+y2Doj+musedGcSBhfrSk+adoBQs0Xy/eBJ
4FYNPbj+RDts706ZPf9xEowShXQDjVtBYUbrmcyfSeC7t8vktkET+PUY24u8
n4K6sXojTZFKIEQ2hMwrTkPgQhZvRVg8/Pr9NF3Kaxp/N2fmRZ4pRNUWJwL/
dU7D1tWYg9ltDWjjD/UsBakZuGrF7+Q6043++a55yvVgBgLhlkJw/CAa3vOd
fKxtBo7oXT0cVjmODDX5g/p3EMFI6Chfxug0mjz3zF9VnAh1vkmadyjTyPvR
Ft8QCSIcoXMu6c5Po+I68YcHpXGuTy8aWTOD5E6ruiXLE+Ggxz9b4b0ziPfW
yQuOGkRQHa78FBw2g5rfPdv73YgIm9P3WDlrEdHV1i0a5sZEiBQI99MCIvo3
+0r13XEi8D6ayuE2JaIDWum7z5sSYa1lzN+0y0SUU18oWX2aCDy8s++GIoko
fKp3fbAtETjXc36azBDRiR1bicJ3idCpIZWmEkNCEth7rnP3iDC4e911w0QS
YhXrSr9yJ0KX9LzGhUwSijO/fkn8Ac6b6r+GlpPQeEDVoJw3EQbYTpSZSRLK
Nz+96ORDhD7qqfyfNBIK3EHe8t6XCL1TBx9u+k5Cu0oEz6gGEKG/e/163XVk
9DMg887tQCKMtSz0Wm0mozbzgzGFQUQYQmNJruJkdBtzaNd6gscXfFJN1CAj
/ZJFumcIri8nYTH/EBltCYzkqwwlwvCbgNqmo2SEmUvv/hNGhEXXzjFhEzKq
2FF6TDeCCGaf9x85bU5GkZjJtYBIIqTzpKVEWZDRpZKJx1+jiDB/eu1Ky1ky
+u/kurpjMURIog1+0bcjI8KOlMmwZ/h3LZDyu0JG2dieldZYIugH5fhXOpGR
aaDt4VMviIDt8ALN22QUX/Kp1DqRCNpmO77KBZCRc6Bhf+JrIjx9FbTTIZiM
Dp0c4owmEYFGogelhJHRJMalcTmVCNG+VYYisWS0W+zsh+uZRBj/dLFxbQYZ
VQX+TvXKI4KPUFoLvZ6Mpk8eD0uqI0LVgGxXwVoKsn+YaDX4lQjX2kewwQ0U
NJ5OlxZuIMKmr7GrKxspaPh7VEVEExFs8/7tMd9GQT2ve+hebfh+CR59QdtN
QXWUC+bnCUQ4tifuws4TFJTud2vzVhruf+R/lLgoCrry6Xny000k+AnTfx4I
YcgzaUmdLESC2yqOh5a3Yigy7GL9YWESEEUxT68dGCq+sotO3UqChjkmx1sW
Q7yilQcMxUiQkLxMDdDC0Hv/6d4leRIYLG8kRNhgaP60Bp/DYRJE5evmpabj
8brxyeU6JOBKqqNLvcPQDuVf6oK6JPAIObo7/QOGDHkbzlUBCewuncjMLMZQ
fIX1263HSKC+4VxiTiOe/131gZvGJMhaHBpQbMXQlziZtq/HSbB9xnZLbieG
sFuM+dumJOCucIjJG8SQ9k5/vdbTJBhxuvWkiIYh842kXukzJDhzhv1Vcw5D
V/4cd/K0xPs54r5awsH7HdgcLXeOBHlbvLzLf2Mord5T2tuaBFKrvz8fXMVQ
ScFYcc95vF+G32IFDxWNR7wb8bMlgdfX4LvVAlQ077nBjXCRBOy8tflHNlPR
mmt3uFTsSHA9MYL5RYSKxM4QXgTZk2Ct+Hr79h1UpK53aPfwZRJodZV+kBKn
IkOVtCr1KyRwDXJYvCdBRdbbeU6FXCVBupaAQZMkFQUsdHhoOpFgTbLj8E0Z
KmoLN1RydyaBaaqG3/udVLRVumKi6DoJYt/82UmRpaJcs7fGe11JIJP14qb9
LioiZD3avucOCY58avhnoUxFyucVatQekeAuktt1QIuKBqsDeJSe4vMmke5x
meD6QjTjpMtIUKt6jf/lHSp6tBLuUctPhtyy8KTLTVSUn77U9M2BDMI3nS6d
FKEhj+cxF8ULyeBt2UlhXKShrtKft+4XkWEDJUpT0o6Gdg9f9W8vJsPTh6YB
p+1paFTqYIZPGRnSU1q2lzrQkH7eFDZWRYYe7KuZnxMNCbbscU9pIoOCT3nR
pjs0lP23L1xyjAxdb9/4aT2mIS4Z3aQH42S4eMC+zTmYhi4czfnYOUGG6W8S
214/oSGBSJ8uv2kyLM29LlwJpSH3bfJbJylkkNOOJzVH0ZCe5oM3afO43o7w
Exde0lDiuanCJQ4ZuC8fT4hKoCGO14n6U9/JEM1ZQ/ryioaykCTl3yIZ0kSD
fWWTaGjDyWbly39wPQ5+Bcw0Ghq6vq1cei0FJBbvifi/pyFnrTiawzqclxfW
pHygoSUuQfFMPgoI/7q/VJlLQ6GdYSdJ6ymw7c8PbOgjDYkmcQfK81NAaOXB
0GIe3q+zX7GTAAXWrS61bMmnoQP7fpKzBSmQwg41NiqgoeZV9220jRSIq4zt
IxfSkHXH3AklIQqEBifZhxTTEJbo4uu6mQK3T2YxdpXSkKcTKf+jMAWubcv3
bC6joZf/hreoi1DA+OPXmHWVNETY0zihKYbX76fVRiAa6vl1d42xOgUU3EMC
4kZoqC2q7ewtawrYFNZyZQnSUc5o/FX5dxSoitp0oeo+HXm1TK33zqYA9jPg
1oMHdGRaqlzUnUMBMef5gD0P6Yj1tG7VOxfXp9+bne1NRwcMZlN6CyhguRj3
Iy6Ijppzjg75V1Hgh71o7M1ndJQYH+NPqKaAfEfoW4XndOQaNLJL+QsFrA8t
l8/E0dHGi3c8BhAFarcMT5xPoKNzG5M3qzZRIPrbaxWjVDoieyyYjXRTQFlT
skXiIx2VX9H9rt5LgUtvno4O5dFR+KnwpCd9FEgU+DcXl09HqopSdI0BCvzF
JreuL6aj+2MnQkNHKdCcnH51sYKOjL7Fq42PUYBr/WbPwio6Ei2bIuydoIC6
Z1DEzRo6qop5IDcxRYEki6uFM4iOon3q2jRn8PVf+hpSvtKRvQu/ezgRX69y
dOh8Ax3tOWe9Y5JEAc3EEoZwEx1xG2bU7aPg3z/YLc430xFBffZ6BEaBxvxt
UuRWOsoWP7hpikqB2NJe46EO3N/FDrtIBu5v3bHEL310FPf+5+9pNgW0htR0
IifpaOcmi/0xv/F5rfkXKLdER8rvPq50/KEAkR0sQf5JR5o665r5V/D9Mbq+
IusPHRler7WOWKVAYIEIe9d/DHQVqXo94cUg64KanaIAA2XdWV/tvRED1qdL
h9RkGUihp17/uiwG0dbVnAOnGEjl+X5zfVMMOnK8rppmM1AbI2vstRkGtc29
asYfGMjFaOvN7+YY5FGUfxnkMVD28kJE9mkM4uQmnh0qZiAZ+8IWgXMYPh+D
L4q1DLRVReXoyGW8XsKG7esGGehfo8xh9wf4Oz00pbNhDROlSMW2tntiwPtu
MRHxMZGO16rNLi8MfjaculbNz0ReKpMPh70xGP/vvz/Fm5no+/PkMr1ADHL9
nBQzJZmIZi+6lz8KgyMP1IMD9zNR309+xax0DJyv1WnrOjFRzp+oYSwDg+0u
FM+1Lkzk+48/QuktBm03N5R1uzKRAq8AI/8dvv7+2b1X7zLRo00CeZW5ePxj
mlKYDxOdEo6+9Pcj7keIoIuFPxPJiggIwicMAiM0s3cEMVGHmMDtxgIMFmJ9
ZfNCmUhGQWBPdykGhDdC4r3PmWhRMXp6czkGT97uv5AUz0RtKgLPz37G4HCO
7SvHV0z0Rj3a4FUFBvO5AQOqSUzksVdgYaQS9zc/a8tSChOd0IrOlKjG4Fpx
6xn0homkDgpYXa7BQKqc9Sw8k4kWDkXzZH7BYOnlZY932UzUckSglFyL+9lB
Mxb7iPsL0dd21+Hx3O47nhUw0V1DARHXrxgoav9h8pQykZiJgCe7AQPzLMHn
czVMdNtKQPv3N3yevppjdV1MdNQ6mnakDd8/xdWf9vcz0fYLAq8D2jGooRkF
5g4xUb29wG/eLnw+Z8/vip9mIhFXgZpN/RgoqPneub7ARDWBAvq7JjAonmji
2Sg6izbkC5hYcHA/9S6oXrSbRaox8kPX9amQ9+dlyC+POXS0yONvrQEV1q6X
yS1/NIdsCY07RY9S4ZZobtd9/zkULuZ0q/EYFTT31m5jhc0hcva7/3aaUaHR
GftATJpDKUhBdfQcFcZ7D3S1180hAY5ikPlNKsi8HxJNE2Ahua2Pst/eooJv
2RWdi5tZ6PDB1vbfblRg1DMvbxdlIRe/G6If7uJ6Jlbfx0mzUOP63I9rPKlw
ZIuiTpgmC/nKqgzWBlLB1t/r8l0bFnpxzOePyGMqfn5yP1GzY6Fcl3YZt2Aq
bH8d/Z5xhYWG82/eFA+lAlaSzrl2k4W0dPK4vKKo4EH/FnzBn4XM7P/u6o6m
wuiS5XvRYBa6GmRuphCD1+Od6OgPY6HYltmXhFgqcEtzRE49Z6EcxpFqlTgq
uKr6HOZPYKFawafTj19QoefQmsvfklj4+T+xZjSeClvrtkZnprMQ00pNZW8C
FQi1R1JLclhIWybm3r1XVGCN7hQ3z2eh0FnW56JEKmxYXvuaXMpCMiGFRprJ
VNDX6I0XqWehs+X77Pel4368cYp+OI7X2374+f5cKgQGxvjobGajuAnj5UO1
VFA3nL7Q4M1Gh687NBhiVPhGNIiiK8wjqWVCTyoVn8/kAQdf5XnEHXZi8icN
51GV/ZvU51FrtuavfCbuX5/IlNb+eWSD8WqIc/B69XTNwKPz6IHTh6Tvf6gQ
mvl8VNRhHhU6LtzL2kwDk6szSkav51H8d+eAVWEaGNkP/htMmUdewWPRtltp
YGjb3n8jfR7B28YcoW00OGBZ5vcsZx51ERMmfCVooGgY0TtaNo+YV3ROnNtN
g7Wyex/d65tHCg5PZNbq0qBxJvBbGj8HlZuXjdnq0WC4vOy7zCYOOnYISygA
GsxHMaTeCnPQNWETwQuGNNh64OyDnB0clNHI//vjcRpcidwtW7ibgySUXvSf
saTBimaXz9ejHPRRpDEm24oGQnw8OUePc9Bh7sUTf87SQH7iYF+TKQddGLOu
yzpPA/OwDMW2MxyU8FTs0/IlGrwe8xjou8xBCt5mLub2NCgs/MB1zpGDypx9
5TIu0wCFTKoMOXMQASZfm16lAV3D5PGYGwdtXsgITb2O9/9EXIPsw0Hpk30G
Cy40OH7BwtY5gIP2tPOsGLvS4LJ6SAjtMQehz1oVyTdp4M5TVegaykGnspzu
z9+iwUY4Y/4jjIMmYxPUj93G/XrjdU09goPc/Fror+/QgGv1ja9LJAdFWys5
HHWnwXItK288moPEj9qKJ96nwYKUaJNoDAflakQNznrg+vx1JyyecVAr35x5
wkMaTOtFCzY956C11YWH6L40aK1Vuv0pAe8/Z+aHrj8N6qTOhFJfcdCueOHC
uAC8X3+vtJ2vOcjIzUPhyGMaFOu1dL1M5qAgae0tz8JokFR7TcM/nYP+BqNZ
/AoH7rVv5k/lclD9jv9a3V/QgPt0zPf7HzkorMDwXWE8DeKmfJcS8zhIeKzJ
TvUVDUq5bP8S8zlISbOjSy6FBj8Nt/I9LOEg6+nhQuFsGjxuCZd+U8NBBUcW
POYr8Xo9906xuzjo6qL8yscZGjQTj+Y9+85Btae803lJ+HriZfvOHxwk9r77
qB2ZBhokHyH+JQ7qs/WO3EilQQqpxCP0JwcZ1nVvuzeL6yXL6fqtcJBclLfm
gWUaSGE8Xa7rFhBZpud6nQAdAukN7GPiC0jfexf/jo10KKVPZQRLLKCUfu/8
e5vowKD/sfoquYDOhu5alBWmgzVjX8URmQXUyPR+HLKNDnuYbwP37VpAWeW7
Uk1l6TAyG7x5p8YC4hLy0X8rRwfhuTcN9nsW0KUbPaQ/8nQ4Plf9IGXvAtoq
4aP8aTcdyue+j2zTWkBPgno+b1KjQzTLMXPjoQXkZO7TRzhIh0PzR/f9NVxA
P0/NJIgeosP6nbt75I0WUOSZ4xdtDtOBcGaD28ljCyjfegt57Agdbpf0ZKcd
x/u58Oi9pB4ddMglR1tMFlD/xalbl4EOfCKvptknFpCz/bG9Gfp0GDzm7bfd
DM/v8HGRaECHdE87MQNzPL/j5ir5o3S4m6P/+cbJBSTh/NDf2YgO8QXcunKm
eD2XCcP3x+jwvqzyDAWvb3Dz6DqGMd5P9V3nHIMFRHD70K5iQoeWr7t9buji
9e5uinU7gfvTMvlMBe8v8sHYdo4ZHbgJ5pUFuD8SXgYTmifpIDrK03VPFc/v
nZPhcYoOctNVxH2KuP6A+8o/LehgPKsoUCGNx0fyH1k9h+vhXXO5buMCKkjT
uSzoQAep/V94e2fx+WdkyJ2+Qoe9Oh47XtDw3/PbdbTYq3TQN1BRP0fmoJ/v
++9udaKDy8nX50fG8PiSm4/FXemQ6/Qgd6YNj29JfqfkgfufoGax8J6Dfs3/
YR4Lp4PNcmryFicOOmAhZR8UQYcbO9EapgMHeRTo99RE0uGR2fSd+kscNO8W
UrrvKR3i3sga3TvLQTTGRr+dcXToOJ4z24WfX8PknRtXkumgl1ioGynLQRXD
x/eUFuD6DzVMcU3Po4d1Lzxkh+hA96bJsWzn0fMHEvWFqgzwClj2UMT/Px7x
6rYK82WA4ljupaYRJppYp/xgxo8Bmrvz10zj9w3/V08SdAIYoHW/KP93AxPV
lR8aYQcxQJ+/gmtPPhMdW3xrbxPGACOdpqykx/j9zN3rhlIcA2yTp2bvqDCR
w62dAe05DPC9uNVPzI+B/vvrk77rA8452xT2uzNQZtTg14BcBjz5LtZ9+joD
kXOjeLU+MSAyaufOkDMMdIO+GJFSzIDwavUm9i4Gcndui3f7woAU8ROCTV10
9MThfu6mfgZ8G/NLvSNDR73mkY8cCQxQnwo++EWEjqQOZZh8HmBAHDGidwM/
HX3e3I3ZDzPgNv3lmuxFGmLUK8vlTzBg6/Int/E2GjpYYLDw3xQDvH+XrFOu
o6EnyTZfz00zAFupzHiIv+8kPUIvrxAZUMXbPCCcTkMWu4jJ5jQGuApP6p54
QEOpm3+5ptMZ0CFCHkpwxfOvbDr8g8EAvR2Me+TLNBQ8qDucPMcAAZmldwGm
+Huw/mwOm8UAT7m/0Ak0JFFw0/PoPAOmFbhHxfbT0I3kx8decRhgrszn4aJM
Q+Vhr7cyFxjAxy/3QVCWhng8Ckl6P3D9TZEdJ6RxPQ4txXGLDJAPWGCHSOD1
tRctDv9kgOH3rwf+ieL6GRZPI1YYcG3MoZHFT0Oug9cvTfzD67/8RlVej+ev
91fZy8WE0NN7+K+vxfMl57UOczMhoWH1zBQX7oc531pFPiZ8+5g21b1IRYx8
5N8szAQp3/HfhVNUVH5f/S6PIhMmJWz23i+hokPrrR30lZhQp3D012QhFdWk
+Vn4KTMhbY/6V9N8Kqpv7dizrMoEGyPeM7IfqKhL+iaHsRfPf7Pwbm8aFWHt
Oe59Okx4X8VXqBFJRdvkdz7IOM0EZ5tK9VkHKvIibPGGh0yYfSGm6rSRiuLU
Tu995cWE4sjtqq/5qehjaCSN9YgJ7kGiqp18VDSp/d/5NF8m/LgtrLqfh4qM
Uln7VoKYwG26QXXNTwwJObfOVUUzYSPXb5V3Mxh6v+x/5UAmEzRvjahQSjFU
b1G1PeYtXu/qkMqOYgyNfVjspmQxoeLCgMrJAgxtvHRL72UOEw4f71Up+4Ah
j7oL4j/ymHBEtlUlJA1D+hFaA0WfmWA5XKGyKxxDtsQ70esr8Xrd5SoXQjB0
X+fj0StVTCA0lao8fYyh7LmdxUJfcH9KClUWfTFUZ2x3w6WWCWK5+SpK3hga
eZMoU4eYMJyep2L3EEMClpue3alnwtWY9ypN9zCk8NHUuKWBCbIh2Sq/bmMI
eENXpJrw+fhkqajdwpCN3ddSz2bcX/dMlSs3MORe/vdmVwsTXG6kq7x0xlDU
Jm05hVYmKDikqbQ6YijL5f6oXxsTFvJUc6quYKj2a/7zgXYmWEc9kwvCeUiM
YaLWiftxY+HNcZwVJA/svN3FBL1vG+Y34+wp/fhXfjc+XwU5/XEHDInKi+Xu
6WNCF8lq+i7OZ9VM+bWG8P7tymSSLmOoD3I7D88wYemMV8asHYa6rrlamiwy
QfXwv8znthhqzmdcdJSchdgNG7LHrPD5CH6fSZWahRgbJm8Ozl9u/bk+LD0L
4dkdju44lyoLeJyUnQV/w2c71+Ocka0WfXD3LLh4b009YIkh37S7Nfx7Z0Gb
IRX/3AJDmjFLEqVGs0Bs3ff4+EkMqc/9y2Qdm4XJbSIzwjgrma9TUjo+C9NO
SzBpjiGZDdv3p52Yhb7/Klc8cBYMPXQy/NQs1BzSe5RphiGan6/fJRtc3weT
uysnMPTGjXuS99YsHIiwsy8xxtCeWCkVW7dZsH+nbuiNc33xYa+C27Pw5Ovq
LgOcsWV3Ydt7s9DxK2Ou6xiu5zHJuMBzFhxcMV+GEYZqEhoLLgTh/ZrdSd55
FEOnKqf/5j+ehcLr+gE0QwxNj/09wfsE1xe82bEAZ96d+8n5obMgVVOirIuz
2cd323mjZ6FK9WeljQGGRlFoUH4C3q9g0PAzwNAtYmYXT+IscClb1ljj/I8X
iV94PQvyxnLpkjjLmi6X8aTMwl3/pusf9XC/b23huZA6C3FJCWbuOBs/07DI
T8P9KL+ucQjn4SKzVJ70WRjv097ChfMNwnWGTcYs/GWtX27WxdDvpeCD+Zn4
fB9arLmpg6HoHelPeLJm4T2vo5q1NoYK7Yel8rNxfVLhfqqaGPpJM7HiyZsF
U6s+yZFdGIrkd0q3+TQLztPkY42yGJJQD5r7lI/747bsViCN/x7uV4bZFM1C
eZhEbcgODIWuKNV8Kp8F5Rpne01BDIkI8++y+ToLG3b9SYv6QUGTEwdfJNTj
ekU9337kUFD2h2v/DTTMQj4fJ6edRUEHDGonzjTPguUsVshPpyDru/cSzNpx
vSV99VETFJTQNbQOBmbB2DAXi2qmoO1RWYxd9FnwvXxBPTqRgiR49Qq/C83B
9OvPX6KPUJD3C3+KufAcSOSrTd4+REEjskgse8scnKp/+8/iAJ7PQD/ERnQO
ahnPQGQPBQkFGNp+EZ+DFB2Xr6lyFLTmtzFvmMIcHJnY3pS/gYJY7NM2Ykfm
IFbGu6NnmIzMA2Kf3tedgzat+dniATL6uLG3vkNvDrhPOAu+7CMjFzVLtQCD
OXC9Z3nqQgcZEV3PcpON58CoXrlnBpHREMUm79OZOfjhONa/kE1GdWNXuAyu
z4FezpGxrQ/I6NzWEutglzk4LCM+rOJORgxz3k9NN+ZA9PUvguEdMtpSm33B
9Ba+PrK86+4NMnq/tFwQ7TYHRJ6X7WHOZHRE48Ta7ttz0ON7/1uaIxk5pzOL
re7NQf7tPfUddmT0Z/jI+gT3OUijbkQkWzKK3Rxzefj+HDxxmKv+fZ6MdplO
lYk9mAP3kfaKzefIqOrxHgE7zzm4aplbpmhJRqerg66+eTgHFu3hxXCajMjf
+ypmvObA0Oh6gbU5GXmpym+S954D7Xm3n+RjZCTo9MDJ2QfP71soytAlo8zU
5ur3vnNQx/ddi72fjA4MbhNm+s0B78v9Vj/UyMjheFXtncA5iPlU9eyfJBmV
Kq1uexSC+z/ZyLflHwnZssLbop7NQbn+yG+dWhJiK4zKdMXOwVKH+A6DchJ6
clnloVAcXv+C/UHjfBL61NMp9zJ+Durvke5bpJEQV4mwX9rrOejLnJu95k9C
OQ9TNIrezgGDl3vqqR4J/eAqjB/8PAdSrcoNU7VEJHxGJHFoLQv8r+vaqrRN
I/qHA47qfCzQztvUn/91GtVx26iHrGcBY37GTLNyGt0uTWrUFGCBpXeo7qH3
06htmwzn6WYWyD/tljkeOo2CJpVNjSRYMFh8hXrVcBrZHDQXSZZkQfjyPgfs
0DRSj3Wb5kixQP/I2pEbe6fRuEGh55udLMhrym27KzONtN/tf/tbgQV/C6kX
V/5Oofmb+n8L9+Lxf/npWg+mUEvjlZZ1+1jwPqRwVOfaFEqTDI6z18LrbzrX
YWg1hcy7mxQFDrLgx860Aou9UyhH0+zc9SN4/uN7PG/NTSL/qFsytbosEOol
XL8/PonOkp8ytwILom0fXfBun0TcCT1B9QYsMHerPxL+YRLZ/zqXL3mcBT/j
zvJkOU2i/ZYPH3mYsOCaxK8fuWcnkcDHRKP2EyxofJeKFR2dRFWXxka9zFmQ
XoG1op2T6HnZ33fdJ1mw1TCqulloErlslLqncJoFHu0anzpXJxBchyN+FiyY
PktII7AmkGidwzrCGRZItJru1uqbQHPbH/cpW+H9H7ZY41I0gRrvvU0NOssC
k4/nSMmxE8hdDtuncZ4FXk8d3vCcnkCdoTcdIi/h9Sw9t/W3j6PR8FTzNjsW
HFH8LXfw0ziiRXZrb7jMApt/fnuSY8YR97N9myOvsICcG3LC8cw4OvDqz9cI
Zxb08Lz0+T44htJzouQi7uL+lJVMbSGOIvdvH7GwJ/j+2MHJOftzGG3fMHsr
JA/XM31Te1B+AHHdt9PT5GFD4MvtWxpKWlHfWszf1IYNPXcvMJ+uKUf7aYk8
H3PYwGVnn+WSFg7+/R7nBT7gnCDN1pCIhuZai49uufj6julDy6+fgfVLPqs9
n9ign1xErTd9AV6GXpllxTjzafmdMU6C6pTzBnVf2OBwT+LsZ6ksMDgjGjDQ
zwaLd7HA2FAEkUcW+g4MsEGog6b41rsI+nZ3KSQOsmF6QV/4EqMIrv4L6bId
YYOMPofc2VoMTz4uSk5PsiF27ExkUXgptKwZqGHQcf2btwx4ra0AIU6hkDkT
r3/oZu1ezwqwGY++9mmWDXWXG3IYlAqgFRsJ3GXj+T7d977UVAkbHEovLv7A
400I0vpPqsHSLLbAeokN87dV1//6Xg3JB27xVCyzYU/Ck4UixxpQFZT/6P0b
r0/SapI7+gU8fq7+G/uD97Phaf548ReoIY1Z6q7g/eylvHopWwu83Z+z0/7h
+s7rBp2Kq4WTVS9+r66yodD/pes6bgT/A2eNxYc=
           "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 1}, {-1.1438996465971876`, 0.9999999004695188}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
          PointBox[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQPLCqwCs5uP7lddv3BP26dV9jL6ZZM0zx21NwHz
d9lv1o0yK9z8yD7UuZL3qekR+0scXdUffj2Dyp+ynyykt8drxjv7cqDslOsX
7C3sOJrsEt7Zp4PVX7G/mSZ0sZ3pub1LJViBvUDEr+c27C/slcD6b9lHMNZd
Y7t7014QJBtwzz7Evz7v1tWzUPMe2D8XO3qBR/zo/nwNkIZH9p56rz0eOj/Z
Hwc2/4n9JhuGUPn3z/f7ggWe2k/tEp8+59jL/RD7nttbz+zJcpj7br8x0PQ4
55f2901kLs73/bRfG2z/K/t9FbN4biq92C91Khtowxv7WSYXdh2wfbYf4p53
9nP0m/gCXt3dDwmtD/b8Pbs/v2Hcbw8Aa7udpA==
          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQPLCqwCs5uP7lddv3BP26dV9jL6ZZM0zx21NwHz
d9lv1o0yK9z8yD7UuZL3qekR+0scXdUffj2Dyp+ynyykt8drxjv7cqDslOsX
7C3sOJrsEt7Zp4PVX7G/mSZ0sZ3pub1LJViBvUDEr+c27C/slcD6b9lHMNZd
Y7t7014QJBtwzz7Evz7v1tWzUPMe2D8XO3qBR/zo/nwNkIZH9p56rz0eOj/Z
Hwc2/4n9JhuGUPn3z/f7ggWe2k/tEp8+59jL/RD7nttbz+zJcpj7br8x0PQ4
55f2901kLs73/bRfG2z/K/t9FbN4biq92C91Khtowxv7WSYXdh2wfbYf4p53
9nP0m/gCXt3dDwmtD/b8Pbs/v2Hcbw8Aa7udpA==
               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-1.14395124133744, 0.956090323962217}},
              "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-1.14395124133744, 0.956090323962217}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQPLCqwCs5uP7lddv3BP26dV9jL6ZZM0zx21NwHz
d9lv1o0yK9z8yD7UuZL3qekR+0scXdUffj2Dyp+ynyykt8drxjv7cqDslOsX
7C3sOJrsEt7Zp4PVX7G/mSZ0sZ3pub1LJViBvUDEr+c27C/slcD6b9lHMNZd
Y7t7014QJBtwzz7Evz7v1tWzUPMe2D8XO3qBR/zo/nwNkIZH9p56rz0eOj/Z
Hwc2/4n9JhuGUPn3z/f7ggWe2k/tEp8+59jL/RD7nttbz+zJcpj7br8x0PQ4
55f2901kLs73/bRfG2z/K/t9FbN4biq92C91Khtowxv7WSYXdh2wfbYf4p53
9nP0m/gCXt3dDwmtD/b8Pbs/v2Hcbw8Aa7udpA==
           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-1.14395124133744, 0.956090323962217}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 1}, {-1.1438996465971876`, 0.9999999004695188}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948130859956072*^9, 3.948130955099884*^9}, {
   3.948132240485457*^9, 3.948132250365382*^9}, {3.948132417484611*^9, 
   3.9481324376701603`*^9}, 3.94813260750077*^9, {3.948132688345565*^9, 
   3.948132711310553*^9}, 3.9481327881911793`*^9, {3.9481329628023453`*^9, 
   3.94813298206507*^9}, 3.9481331151859083`*^9, 3.948133145872796*^9, 
   3.9481331931940002`*^9, {3.9481332275257883`*^9, 3.948133248903883*^9}, {
   3.948134412219392*^9, 3.948134424786851*^9}, {3.948134704214121*^9, 
   3.9481347225143414`*^9}, 3.9481349678419323`*^9, 3.948135406718172*^9, {
   3.948135659826041*^9, 3.948135691759862*^9}, {3.9481357472695427`*^9, 
   3.948135770136162*^9}, 3.9481358244100657`*^9, 3.948136618752692*^9, 
   3.948137070588904*^9, {3.948137311093301*^9, 3.948137353352693*^9}, 
   3.948137434492918*^9, {3.948137472737005*^9, 3.948137518400502*^9}, 
   3.94813761059442*^9, {3.9481377242665577`*^9, 3.948137728731876*^9}, {
   3.9481377687762547`*^9, 3.948137808158538*^9}, 3.948137839999218*^9, {
   3.948137915198165*^9, 3.948137961831544*^9}, {3.948138010326825*^9, 
   3.9481380852616253`*^9}, {3.948138171771494*^9, 3.948138194121057*^9}, 
   3.9481382402556753`*^9, {3.948138284976859*^9, 3.948138289201264*^9}, 
   3.948138338382262*^9, 3.948138452037212*^9, 3.948138831793432*^9, 
   3.948139774880522*^9, 3.948139820496393*^9, 3.94813985677387*^9, 
   3.948139978928771*^9, 3.948140059803281*^9, {3.948174674816235*^9, 
   3.9481747521108837`*^9}, {3.9481748303781557`*^9, 3.948174848938978*^9}, 
   3.948174890171731*^9, {3.9481966706451263`*^9, 3.948196686422773*^9}, {
   3.948196875236083*^9, 3.948196902019807*^9}, 3.9481969739781933`*^9, 
   3.9481976022397013`*^9, {3.948197800339579*^9, 3.9481978288297443`*^9}, {
   3.9481981796803493`*^9, 3.948198191489132*^9}, 3.9481982842694187`*^9, {
   3.948198363814533*^9, 3.948198377004696*^9}, 3.948198683700901*^9, {
   3.948198849423388*^9, 3.9481988579656677`*^9}, 3.948199156625474*^9, 
   3.948200294200665*^9, {3.948200333776299*^9, 3.9482003592210293`*^9}, 
   3.9482005409998617`*^9, 3.948200612532401*^9, 3.94820077040834*^9, {
   3.948202039827796*^9, 3.948202050853188*^9}, {3.948202160022916*^9, 
   3.948202217691124*^9}, 3.948202534118414*^9, 3.948202566044837*^9, 
   3.9482026765669737`*^9, {3.948202730993918*^9, 3.9482027416889687`*^9}, {
   3.9482027777348948`*^9, 3.948202828596582*^9}, 3.948202901444715*^9, {
   3.948203071508376*^9, 3.948203086602746*^9}, {3.9482031578164377`*^9, 
   3.948203188109548*^9}, 3.94820324138935*^9, 3.9482033583968287`*^9, 
   3.948203561784759*^9, 3.948203809688518*^9, 3.948203900671369*^9, 
   3.948203945907057*^9, {3.948204328724403*^9, 3.9482043509986877`*^9}, 
   3.948204396359221*^9, 3.948208664017036*^9, 3.948212725553124*^9, 
   3.948212756362286*^9, 3.948212945832109*^9, 3.948213404575058*^9, 
   3.948213465945064*^9, {3.9482135365433607`*^9, 3.948213584239078*^9}, {
   3.948213681718358*^9, 3.948213711811696*^9}, {3.948213754575872*^9, 
   3.948213767097454*^9}, 3.948213800757132*^9, 3.948213832286895*^9, 
   3.948213864484755*^9, 3.948213955416234*^9, 3.948214073340837*^9, {
   3.948214141721271*^9, 3.9482141642726307`*^9}, {3.9482142153665943`*^9, 
   3.948214236601804*^9}, 3.948214296091261*^9, {3.948214417436174*^9, 
   3.9482144442260513`*^9}, 3.948214492030055*^9, {3.948214739282619*^9, 
   3.9482147598821497`*^9}, {3.948214845642569*^9, 3.9482148714456873`*^9}, 
   3.9482149877530203`*^9, 3.9482150661617327`*^9, 3.948215245547389*^9, 
   3.948215286314043*^9, {3.948215415279436*^9, 3.9482154433516397`*^9}, 
   3.948215499945406*^9, 3.948215549606299*^9, 3.9482155967996073`*^9, 
   3.9482157093554487`*^9, 3.94821574645588*^9, 3.948215951954851*^9, 
   3.9482166874286633`*^9, 3.948216929600135*^9, 3.948217064444757*^9, {
   3.9482173029676113`*^9, 3.948217310467286*^9}, 3.948218717666687*^9, 
   3.948218828967826*^9, 3.948219450185462*^9, 3.948220233797722*^9, 
   3.948220266647156*^9, 3.948220575535624*^9, 3.9482207005843573`*^9, 
   3.948220984475416*^9, {3.948221746067596*^9, 3.9482217619438553`*^9}, {
   3.948222009167244*^9, 3.948222028298908*^9}, 3.948222282933627*^9, 
   3.9482226568284893`*^9, 3.948223788584064*^9},
 CellLabel->
  "Out[820]=",ExpressionUUID->"e4b6b211-4660-48b8-8c93-495e75216299"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Sin", "[", 
        RowBox[{"2", "\[Pi]", " ", "x"}], "]"}], ",", 
       RowBox[{
        RowBox[{"as", "[", 
         RowBox[{"[", "6", "]"}], "]"}], ".", 
        RowBox[{"edgeBasis", "[", 
         RowBox[{"Length", "[", 
          RowBox[{"as", "[", 
           RowBox[{"[", "6", "]"}], "]"}], "]"}], "]"}]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
     RowBox[{"PlotPoints", "->", "100"}]}], "]"}], ",", 
   RowBox[{"ListPlot", "[", 
    RowBox[{"testdata", ",", 
     RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.948213988664893*^9, 3.9482139963387823`*^9}, {
  3.948214827908*^9, 3.948214829794883*^9}, {3.9482207855700827`*^9, 
  3.948220788321418*^9}, {3.9482210994223557`*^9, 3.9482211008293333`*^9}, {
  3.948222286701174*^9, 3.948222288125085*^9}},
 CellLabel->
  "In[821]:=",ExpressionUUID->"644bc450-35b3-4346-a518-939a37f73a1e"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ], 
        TagBox[
         {RGBColor[0.95, 0.627, 0.1425], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwVV3k8lN37VrZK5C1K0YaUJRUikVukJJUoFG9Roi+VbUglScguSzV2qVDK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           "]]},
         Annotation[#, "Charting`Private`Tag#2"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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               "]]}, "Charting`Private`Tag#1"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwVV3k8lN37VrZK5C1K0YaUJRUikVukJJUoFG9Roi+VbUglScguSzV2qVDK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               "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1}, {-1.1161250534244, 1.0117921659143296`}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 1}, {-1.1161250534244, 1.0117921659143296`}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.95, 0.627, 0.1425], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]}, "Charting`Private`Tag#1"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwVV3k8lN37VrZK5C1K0YaUJRUikVukJJUoFG9Roi+VbUglScguSzV2qVDK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           "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 1}, {-1.1161250534244, 1.0117921659143296`}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
          PointBox[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQPLCqwCs5uP7lddv3BP26dV9jL6ZZM0zx21NwHz
d9lv1o0yK9z8yD7UuZL3qekR+0scXdUffj2Dyp+ynyykt8drxjv7cqDslOsX
7C3sOJrsEt7Zp4PVX7G/mSZ0sZ3pub1LJViBvUDEr+c27C/slcD6b9lHMNZd
Y7t7014QJBtwzz7Evz7v1tWzUPMe2D8XO3qBR/zo/nwNkIZH9p56rz0eOj/Z
Hwc2/4n9JhuGUPn3z/f7ggWe2k/tEp8+59jL/RD7nttbz+zJcpj7br8x0PQ4
55f2901kLs73/bRfG2z/K/t9FbN4biq92C91Khtowxv7WSYXdh2wfbYf4p53
9nP0m/gCXt3dDwmtD/b8Pbs/v2Hcbw8Aa7udpA==
          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQPLCqwCs5uP7lddv3BP26dV9jL6ZZM0zx21NwHz
d9lv1o0yK9z8yD7UuZL3qekR+0scXdUffj2Dyp+ynyykt8drxjv7cqDslOsX
7C3sOJrsEt7Zp4PVX7G/mSZ0sZ3pub1LJViBvUDEr+c27C/slcD6b9lHMNZd
Y7t7014QJBtwzz7Evz7v1tWzUPMe2D8XO3qBR/zo/nwNkIZH9p56rz0eOj/Z
Hwc2/4n9JhuGUPn3z/f7ggWe2k/tEp8+59jL/RD7nttbz+zJcpj7br8x0PQ4
55f2901kLs73/bRfG2z/K/t9FbN4biq92C91Khtowxv7WSYXdh2wfbYf4p53
9nP0m/gCXt3dDwmtD/b8Pbs/v2Hcbw8Aa7udpA==
               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-1.14395124133744, 0.956090323962217}},
              "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-1.14395124133744, 0.956090323962217}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQPLCqwCs5uP7lddv3BP26dV9jL6ZZM0zx21NwHz
d9lv1o0yK9z8yD7UuZL3qekR+0scXdUffj2Dyp+ynyykt8drxjv7cqDslOsX
7C3sOJrsEt7Zp4PVX7G/mSZ0sZ3pub1LJViBvUDEr+c27C/slcD6b9lHMNZd
Y7t7014QJBtwzz7Evz7v1tWzUPMe2D8XO3qBR/zo/nwNkIZH9p56rz0eOj/Z
Hwc2/4n9JhuGUPn3z/f7ggWe2k/tEp8+59jL/RD7nttbz+zJcpj7br8x0PQ4
55f2901kLs73/bRfG2z/K/t9FbN4biq92C91Khtowxv7WSYXdh2wfbYf4p53
9nP0m/gCXt3dDwmtD/b8Pbs/v2Hcbw8Aa7udpA==
           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-1.14395124133744, 0.956090323962217}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 1}, {-1.1161250534244, 1.0117921659143296`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948213994969796*^9, 3.9482139966890163`*^9}, {
   3.948214142879798*^9, 3.948214165094673*^9}, 3.948214217594067*^9, 
   3.9482144192622843`*^9, 3.948214453154975*^9, 3.948214492847686*^9, {
   3.9482147396119413`*^9, 3.94821476010004*^9}, {3.948214830526528*^9, 
   3.948214872389887*^9}, 3.948214991782102*^9, 3.948215066612277*^9, 
   3.9482152899014597`*^9, {3.9482154154528913`*^9, 3.948215444456829*^9}, 
   3.9482155029840813`*^9, 3.948215550746167*^9, 3.948215599013854*^9, 
   3.94821571049916*^9, 3.9482157469104633`*^9, 3.948215954001536*^9, 
   3.948216688197689*^9, 3.9482169301247*^9, 3.948217065146929*^9, {
   3.948217303888566*^9, 3.948217311258853*^9}, 3.948218718323791*^9, 
   3.948218831786192*^9, 3.948219451217712*^9, 3.9482202409039307`*^9, 
   3.94822027523696*^9, 3.94822057705947*^9, 3.948220790555211*^9, 
   3.948221101331315*^9, 3.948222288644733*^9, 3.9482226575976152`*^9, 
   3.948223789286808*^9},
 CellLabel->
  "Out[821]=",ExpressionUUID->"f13c5692-112d-4db3-b926-5a0e63510020"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Sin", "[", 
        RowBox[{"2", "\[Pi]", " ", "x"}], "]"}], ",", 
       RowBox[{
        RowBox[{"as", "[", 
         RowBox[{"[", "100", "]"}], "]"}], ".", 
        RowBox[{"edgeBasis", "[", 
         RowBox[{"Length", "[", 
          RowBox[{"as", "[", 
           RowBox[{"[", "100", "]"}], "]"}], "]"}], "]"}]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
     RowBox[{"PlotPoints", "->", "100"}]}], "]"}], ",", 
   RowBox[{"ListPlot", "[", 
    RowBox[{"testdata", ",", 
     RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.94822229178967*^9, 3.9482222928851557`*^9}},
 CellLabel->
  "In[822]:=",ExpressionUUID->"77011a3f-25f7-4ebc-8867-077913d64174"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC
tixlqScp+8wg2XfmPdtcS7Lzu/7y+X7em3n3nnvuuecNGcdLh89wsLGxzbKz
sS39HYyPqRDNNNY9NT5R6cjroVt+wnCkt28jfPhqI+WtfxDCy0XC8/rUwaxz
L5+6/kkYWVhofddnCEJt13QF9C/B2xdXuF70WULBgQXzYb0AmGFueR7Zdxqs
eHYrJOk9hAQBvu6IvitwxDriXC68gbnY6ZCHfYGwQnL39RntdDB6/eBaacET
EEz2HfPbXQRi66kMevVrULQKyM/gL4On85HMOOt4OD6zc89ADB2GjIsNfTOT
QMmIw7iksQ7MnJ/21GekwZ6W/Zw9oQ2g7aHdnyDwCVZxqu30cG8B6ZAzR3Vz
s8GgznrvO/kOCF3ePbBG9TNY2psZaUEXNOX0vQvoygPaOdfG7Llu+MjQvrHZ
qRBsudUFgkN7gW6wr2Zr8zfYujlqUnG2D4ZGRuS6iovgku36HbOeJGR59Y1X
shdDS1xYstk3CliPY+qvH/sBe1PvmHrzDECN3acrbWklYMQjvyirMggTtu4b
Tgz+BNUtAq72m4fgwfBo73uDUjBynYyLEx8G5y/rvggGlsHpA5/aqluHYcjj
yzW/u2XgY7w2u7VjGC4rWe2kHpSBiYC6S3/3MPi/vpf7/XkZSJW8uDlHDUNE
0Ey2Z1oZ+G3ZqcE7MQz5hxozm5vKoOIIX1QhPwsE+yNTElTKQUmKUR+qxYJs
cb43uu3loPKqmT/rIQso4+cij3vKoUL5zaTyYxasuyx3v48qB1fm1cr4JywI
rACf++PlkK6VuiX8BQsO+3laNvNUwA7VyIa971gw2tq23Eu9Aipq1F5Z57Jg
a2yGe+rdCugWmi3tbGaBY9Vuki28AsJfrQ9a08aCZ1MV9laRFeDmsV3WvIMF
C4f6zGZjKiAhL04ovYcF1exr5UyzKkBI3/zhsSEWuJwObOptq4CDDo0rD86z
IEne2mCdeiWk+FmveyOJIHdSbvfqXZWQbJ793l0KQXHZxE7+3ZWwaq3kET0Z
BK0Xnm6Z21MJmh5v5ZplEaxM/y3WalcJc6nXwiaVEHjttEQvb1fC9f7KfU2a
CIxMDr2SqK0EtRcX/+20QmAhLh21qqESONlaBGhHEJwYQI/4WishxF/cxNEG
gff9h3dm+yqh4N072WA7BCkM2uWW6UroOn7YL9sBgfDR/aYvZapgeE98WJ4L
gs7zZv/WelRB5aBx5PFABHtMzwvc8KoClfT6gbogBKkKd2W7/KrAPF9R0DQE
gS/583BiSBVcci/8rByKQOSMfrr6qyow80+NbApHYOaw65x5aRWsSCiyLX+B
IBNsAtKrquCkcpGD5EsEYlJez4Rrq0CM85/apVcI+tqyShpbqyB4X8J2/jcI
bh7bJnNmrAr4nj7IVIpHkGMt33xdshqCTry8xJaGYN0O49HODdXgV2a4UjUd
wW0RJx4jhWr4IFHgczIDwaHfb3esUK+GecHihJxPCAYsJCOfmVRDJ2Pg7N7P
CKT3rzZPv1INCbsmXdmKEIQZcnzrLK+GX52v/iujI6goPX2UolXD8ZiNmnEM
BCvMf/5FddXQEaHi7luDINTqrtJiWzXk3f7AL1eH4O4ZwReSY9UgPZsw7/gH
QfCdtZ52a2kg3/c3+1YrghI+fyFHKRq0ZY/TdNoQcEW0JZ+XpYENf/bkBHbQ
89gu7600UNpnftWxA88nSf5glAENTLwSpGS7cTwq1RR/X6DB3stFm8xIBEUH
n/xsuUQDyUS6AhOb7feEQ48nDVicMztvUggCWr9Ejd2ggdMP35tp/QhuDOty
/xdJg7/tynnjgwi+ecTGij2ngSuXiOLNIQTzE+w60jE0WLjN+LBiGIH/Qsnl
bYl4vL1v6OIsBH5C+zr3F9DgweGC79IjCPIjP/odKaKBRqBtbAz2zBrBNfY/
afC0/u59sVGcH9I1+13oNGDjDn7AM4bzUdWmIKyHBp+0ZFRrxnF+W55+VspH
h38SM1NckwiczHKpnJV0aPtk0OKAfVifVztehA7amyTa87G3bUvvuClFB9eP
Z43PTyGgVswqaKnTYeuFlhfp0wj+sB/wU9hFh/zzIjfnsH9OxVaL7qaD8eYv
IXtnEMQx91we30OH85fkJxqwjxU/LvhoR4cVSNW6exbna16fwMuTdJhm2w3S
cwh2ZexyCHWiQ2pBhMlx7NWv27nOutEhbztXIQ2b46mqjdUVOtzWk5Tnnkcw
ei8oycCbDiNhHhma2DQfxQNSt+lQlUzIxWAXul+PFbhDh5CPWSursJOdGWOz
9/Dn9zRITGPfOeIV1fiUDgI1cY/3L+D4mJf3/4qmA41mvOCJ7WS4TifnDR1U
AgTDorH1VIs7HyXRwWcvD0cn9lYFEfWbaXTw3r+dtYi9TupcsFsWHUy7A2Yk
F3H+ihY0HP9CBwNDprwW9jS/oOK+r3SoLz97xQqb4jzlr1lMh8eDix0u2H9m
smibSumwWSvDJRC7ZHSZjGgVHZxOe4k/x/5EHb3CVYPjr2rBTMaO7fj4c6ye
DuGhUFeA/fDP4pquZjoku+l1VmDfqD58gd5Bh9KFwwKN2C4l7wu/9uL18fSy
68G2K5gS/NhPh3i55NIhbJNP+05Fs+gQFDxs9Rd7R9LrrLvjdHi7QY9jBlsu
dpT72hQdfie+pc9jr44ysj0zTwex1v++LmKzl+6r38zOgKC4iIolextcXYjl
ZMD+GcmppfvR19ebxJYx8HjyjJe+76xm2aGHPAw4QzplLT2vPXvUZxkfA3KX
S+kPYx9RkXh3XYAB5+kUa2m8VSlGVX+FGGBeUVy4NB/DTW4TF4UZYBabmlyJ
nR8Xtb5nNQMuiiR/KcRWXf99r90aBjTy5jFTsD+8GHCvEWdAvU+LxgtsKZHV
0SbrGPDruvC7IOxnEbt/EOsZsMXspKrb4lI9iRBJ28iAyWhI08ZWDOuqspNn
gJi2gNzS+tLuqwUt38wAi5T/nOfw+os+/j3msBXPT7HMPBs7/4lcsoAqA/LV
AkbuY5+I8jqVr86AHXNeJ09jJ7wSY6zSZMB9D403vNhmb87fKdJmQNx+Nvcm
nJ+st/m6rrr48/vE+ROxdyQeT/1lyICsfL0EbexfmbFhPgcYEKvPcDTD++NC
9qi+vAUD5mfcwnmwBT8bTNdaMkCl1ze4BO8368JeZ+WjDMhUGa7fjs38pWDc
cZoB62PL2Bbw/g0r95m7d5YBH3KO303G3lpVkbXrPAN0S+60WGF71bhseOzG
gLdP8nvjcD1Y3pqxaOTDALYF/UBZXC8+trN/HvVjgHqp9jniHz4Pug67vb7B
gIMCbOK22M+Zf1snAxngnMPVfnsCgcLorvzkcAY88qP/+4rrU9V4qIfNIwbI
bhjW2ovt/q9ZgesJA/QChffRcD37MusfZf+CAbX/ntLrcb0zWfbdc2U8AwYz
Ll+oQAiGeISVvyYwQGpzkZABdgTf6Z7zSQzQOHz81mdcTxtXch/+kYbjuTqx
/CWut+ckTLd55TGg6OJLZIrrc6hKTX8LjQEXHDdF6zARRAcb9tjVMKDhaF3E
qz5cP5pzWpvqGBDxfGvMTC8eb1A0vaGRAYeR+GRGD4530+mcum4GZIS1ZCzr
QvD41r+blf8YoHxgk7F1C66Hf875mk3jeK+MehnVjCBLqeVK+Sx+vv9JnoYm
BL/ribOlbDVwOVtB7lAjgjWKoeY/VtSATizpolSP4FWthFjB+ho4NoRrGg3H
e1P4f1oyNeCn58WeVI3gqz8bX97GGnDn1Wkur8L7Sb5vPlehBuwyjtVwV+Lz
1y+t55NaDQgWnG84W4rg/Ub99OQ9NUAcXH2wmkCQ5nl2T7RbDQizGx5Rxuf7
0CE22gGPGtD+8td2JhXB5i3RRzg9a6Aw+o30r48I4vuqnVx8aqBkceecdTKO
l/X2QN2gGshgtTHt3yMI2cVV1P2iBppoDTFsuP+wn3urqfSzBpzvPdKMxv1N
dKP2947SGrA486RfGvc/jdn1Jk8qauCBzDOH97fweeTKaztPr4GX19njE2/g
9W5396I314CA+qXAR94INIog68pIDZi/7CucuYiAP6hNuVCiFnLXuPZutEDw
VnxEyGl9LYgNL++4eBDvn3SOcT6ZWuj0KPiSuR/ByeZNecfka2H3QC/vTjNc
X1UuG8+q1AJl+URewRCBbduyE1p7asHJ0dMpXgPHa4fKwy/utTDLbVLLLYpA
t//2aPbPWlDa/RRdqWUB1OSKbiurhRt62d7HGCzQyxvQTqrA10+abdOnscAw
9HBIDL0WUk8dk1tewQKTzRskQppqYW/S413Xv7PA8vx3I5vhWgiSKF4jnMGC
c/2LUdOr68D57Ka4jnsseNTvr6vrVAfXhIVD/9NlQZFt4+jw2To4m0sdOaDN
Alap+vuY83UQWnCFJ3QXC8wSBvjm3erA9IyL1JQaCzhO2zYV+NSBaLn12q+b
WODZqu6p+bAO6JyLl7pXssCWPpCkkV8HNiaF7K+6hmF9jq2I0srfcDztvccf
/2Gokgj1/JDxG1KOlhz6kzwEBxrJzLn99SDHR6+c/z4IvA4KPtlT9eCjKd6+
9sMA9N3+WjYX9QeaLrPz5oT0w6y7RtwHowa4o9au6a9KgdrMImdfXwOYe9E/
WTQzYXfTtOFUYCMw9CdGN3v2we3AeoFL25qg7ETMZbKxB8gybgcvehNUrnKZ
2mXcDSFNa3S6/Jth2ek0DeTXCdNg+2/Dphbwu25RGWfRBg/0h3dN/GwBh0sT
+drVTXBM0Ilb6XIrFJw5f8+uqx7MvLbZjQq3wRWZq4htQy0IaGx+EJ7RBmfT
RYwLyqqA9yuX2cNj7fCHf2/mvfslIN+l8VB6th1O/hPzC3qUB9cZe06IfOgA
Keunp6wM3sLvsB/BIwqd4Pqsn+JcFUtMzzyIXe/dCaMBraeOPPhMFBwyvblQ
3QnoxdkT6RtLCMG/W+Pl13dBMrv3H4X2SmLBn/sB29UuUJUp+RotVEs0qoz3
Gld0gXOv1LsZnj+EgRrfrTrxbvhLbvvP50MTYSq+ulvYvRvW3+OeM/VtIzr3
770TXdQNvGpie8u8OolTqY9ePhDqgZAumxYFsW4iYKzKU+1MD3xTqliVVt5D
bA1WeyyV0wP223iPPjXrI3zm73p+4+uFnSaLpx/+ZhJpsf9+ljn0goLifIGx
LkV4Pgo/JpHRCydH43nIa/1Eg/OaXKllfeCTuPVMVsYAUXGvwsrFug8IfvOf
zLxBIrH5iaPs+z54MtJm+ePdECEjdGh7+Ewf7LaRfm4YOEwovk+Zr8Lv1eIz
WcgkZJhQ017+i2++D+7cdgs0Dx0mDJy/WYcu9kF325sTBx4OE46EsncQFxPO
trLadV4OE/GXeAt8BZkQ+uVSR8mnYUKeUaznvIEJ61wlEgM6hwmlR9vN9cyY
kLlwq+fZDhZRMRDf8mIfE783XFc9pckizhmtvjhuzgSn6tGTm3VYRMLkWGjC
QSZsSrpun6XPIqRPZJTyH2HCiOKn+lRzFrFaScmw6SQTOFIjHuo4soiFEmmt
y1eZENgv3ETcYxGv1keUV3oxQW+bfKNxOIvQ9l60lfNmwgKtILM8gkV4K7Vf
a/RlwpqjeeMVT1nE+KOXObo38f1Zq9Oy3rAI6oSoKt89JtzYFVQvmcUiaqf4
FOJjmSAl9q/IspFFJM7ea2S+xeM98OeVWzOL8F/gC938jgnFP7qf3GllEfJc
/ANp75lwenKuMauTRfgI8X/MS2bCIj0+dYLC85HnV6FnM0FR9JnL+mkW4WbJ
v2umjAmlXLlnOMUQYWh9n9KpYMLO+rjQLnFEiB3lfxFQyYTDA40/v0ogovgE
/wwXjQmjBz+G4PdrQuQCf6FQHRPyI37JE/KIKLzJryfXxoRq845Stu2IWJHG
b3JolAmGx3yqVh9CRJiAacL9MRy/yalXqRaI4HMN5iofZ0LjU6enRpaI4Fde
KNL/xwRlqdh5F2tECCYjTfVZJhTuWZmUeBwRwgm1SqLcJJxyvmRTcg4REq+f
C7WKkTBol+UZHYCIV/O/XcXWkgBep0SnbiJinf1/VVYSJFz7rtZmeRsR69eF
3a2WJEFaYriJOxgR0tF+7MQGfN0x7IFlGCJkn50Yf6tMwg9zoaqnTxChHC7b
4KxHgkiovkxOIo5PpufcN30SHkkfz0cfEGH3u0RG1JAEs+d8GxSSEXF37RmX
EmMS1hfVHn/8ERG9Ce/ZZfaRoPUi9bp5Jh4fIa/cfIQEL6fLdjb5iMjq9rJQ
tSGh+AhfnVsBIiq4S73u2pJQrzAqFlSIiKl9zt93HCOBo8ya/8M3RFg1JlpH
OpDwosDnYX0xjteowi3ziyRMz66b/FWBiI2rfRLeuZBw/FmjdkElIrR2llfO
uJIgLFhknlqFiHPXz4smuZMQlEyvDaMhooQ3OYXbiwT7XDk3pVpE+G9Q+vPt
Jgmi+2h1HE2IiDT2mxW5TcLXNd/r6rCTz1VKuwaSYF7Z9zquGRGNaRcvSoSQ
IFd875lmKyI0tD+yed8jwcSvmHd/ByIGLbcoqT4j4SSS+svbh4hd0uEeHlEk
HKheJfURO2SI9TnzOQldpmb25ky8HsEZRmovSVj10HbVHRLPN1f9hHosCStb
x5z6+hHx9vaT+CtvSbDyGFfwHkAE68DEQFYcCeVhQ4s8g4gIJXOvabwnQePy
e6bsECK+iWk92p6M45dq9MyYhfOtL7rhagoJnlskRsuwbTNnJXM/kpB6J/GE
GULEuOnX5B3pJBQkFXvsHUGEgp9eyc5sHE/TbdcUxxDxuG3PpOY3EhZqP0xF
TiCiIylxty9BwodWT78pbGUvnqD8IhIOEndWHvuHiFLBipXaP0joOHXBY+0k
IuZgv6JOGQlPOgMFbk8hwpQ/zd2/nIQtCUyZBuxnjYKfCyvwfEdOmyhOI0LV
g2G4u5qEB+uiKyuwz8ZZ2uvWkuCXcSn57wzOH7fsdzfqSGh5I31QaxYRbNoi
A99+4/mrlXLfwH5Z98cLGki4z933YRGberPza0AjCSNXrJ7unkPEDpfnnEVN
JIh1JkX6YDO47CL0Wkm4ajX1cxBbsib/z802Ep55D0zLzCPiQoyE5Pd2Eg7X
ZoM1NveOtiT9LhzPhJ9sediHOXRHbnWTYKG0zJ/EjqW93lHcQ0LejDDv6gWc
j84OPwyYJMj/CbF1xl4/+ZsRQ+L8s5E0eITNcce0fYoioVHlOPkFmyn6bdBy
gATvSD2TduzyBLXptEESdJpKndgXEfFxR+KyFcMk6AcjnQ3YEb8kVp9hkfDL
MIehh+1pHSFThEjYNCAqbY9ty+TaJjGK881LWOkato6Xj47XGN7P/yWMhmNL
LWOZ1oyTML6CcSUem+OZo43yBAk9reGZn7GZcg1Od/7hfFbsSi7DrsjZd7l7
koRbxM+TDdhpxkUBu6dJCH2kzcDvq8Tjeo0Hz2dIqPumP4ffZ4mrZ5Kix2dJ
aAtv6JlYGs+E5IcD8yQYX54LmV0aT/DjnKQFEqo4MvoWsKVFlv/gYqPgIOfY
In6fJrje+zFOslPAOFlcv3Sd0hhpy+egwG2LjPPS5ytLnAZFuChwTRbMXvr+
NKumKXduCpR17xUuPf9x7/5lVcsoUPGJurk0Pi/P4lWbeChYK6LBtjR+O66d
Mrd5KUj/e0p7aX66T1K2tq2goHbjBrWl+cvISuvs4qfgTsPV3ndL48l+Yhop
QMGY64nDS/GjDHltWIIUHHVr8/PCrqq77mS6kgKp0L8Ox7EzTo95xP9HQXnU
e/al9XkyfjZgUZiCuVdj9jLY3oEt9+1WU+BX0naVDRvelSSuXEPBismoxs94
/Teoa+ZcFKMANrlsjMBe9iO1+Jc4BTwl1Oaz2LTuZ23+6yiYsCDP82F/usw3
2CBJgXrmpXfNOB+fctycUpOiQOto6nP8Pk0c33B+Vb8MBRtlbXK1sAdPaZse
2YSvL//9zRjnP2003TpDgYJqlucfDuxPt2Sd+BQpEHswlPQV7yfftwIB35Up
6Mm8EqSMzdPVkb1FjYKIf548CO/XIXer4rvqFNjT7BdfYDPYyuk9GhSk/Gf6
yQA7SvrTwIudFAgWg/kDvP/lHYKkl+2mYET8jMVyXC9yzXNa7HQp+GVrKhSH
64mxJvNZOlBw85blay1sJ2ETgaMGFKybnth2BteftyV8Myl7KQjOMdgQO44I
lUydHDZTCtpcZC9sxi6KcXU/YkaBMXEuMAPXs3YvOnPBnIJ6Ry3FL6P4vNwc
WWdxGK+XzphpKq6HKSIl4QmWFAjZNkrKYWtxTJjOWlEwaur8IxrXz6Mt1kXx
NhREv30fGDCM69eDtamTx3F+ieY2bcX1+L+xtyExzhRw/VHrk8X1Pba9Vn/s
HAV3Xzo3+uD6r1LJOb/nAgX9RqyYql5EHIg/c2XEhQLbQunYiz2IuG+92cHw
MgXDXW63H3bi9S7I0Oz3p2BmVW25Gz5/5gKJIY3HOP9WPC65h8+3YnH28suR
FGzfEmmVgs+/O+kG7zOeUHDbvpytHJ+Pwi0/7ZWj8HrVrUhbKEPEZrUq2sZX
FNyoO2Vv+RMR1p2NGcIJON9MCiXiviIiXWfMcyQP7w92KqAen+eeteoWWwso
8Mkv/fQlBcfj3NUtLoV4PWOKOaPx+f8rcqqP/IbXX/4Amw3uD1oHFqw7fuD8
Oh97Jv8dzo8XfJq0agq21mSMyEcjwnFCdj6li4I3523ConA/8u2AbyxXDwUG
YokBMkGIWPuBbmjfS4EzaOon4f6l1s43TJCkIGpP+OZPuN8xKKKv8RiiIJC9
71GSDz7/7/mq7Zik4EfE6qatrrj/kGY4F/H3A/l7Gc+Tw4jQ85XjExfsh6GJ
8IIG3I+9qvNN8xDqB50plq74QXzehshNbBDuh++PsnKe7sP9waDv7eA1/WCs
W3zW0wgR8blyMWYb+mF0XHC8DPd3Z8z9an/v7IdyCfUYuijuVw50PRPV7AeF
izl5aDXu9yz2HrPV6gfZH89GBVbhemS9qrdFpx8OrBjKMhLC9zukTHTr98PG
BsmQl8vx/VdbxEb39UOCBtOXNcki0l9rnxRw6AejZIsbig0sYnpkdtD4Lh7P
JTEhDtxP7zi0/sSt0H54XZpYmfOARXim6zEKw/rB8fSxb864Hx9xDc5Wf9AP
uR/y9vwKwf31gOB1mcf9YCMlTbpeZxGNvTKC8y/7YZ2qXbDzBRbxpXGvSnZ6
PzAYCurchiziWlGk54aGfvjv7se7Y6xh4tHVdcUZygNwNKB5fZj0MKHjTbe8
4z8ABXT54L8GQ0SQw5VkoboBOLfG1UxVY5DIvbLVnVNhEHIPvDwRyj9AeP9e
5QvXBmFthlOkbgdFNKwdMNlSPQgyclK2/66TxK+0gWOnJYdAYV+lTNQ6JvHG
laOdy2UISpdfmjmV2kuICPPJ2X4fgj1jRne28vYQ67h0M8ZXDkPm36vvTd26
iKKWU2z6zsNgEH+qRkOng/jLlvHkz+dhsKNVG8bntRDCFiLPG5axgO3z83/H
tzYS1SEXHcKOs6CkbNv+Nzq/CbEVQy7BH1nAkvUfn/ZhEGxX7HXVOBFsQAdK
+5PKiNplzBtmtggOzV6+cfJiEbGdes6Zkojg0kfv/YlWmcSNOk8b/iQE3QIx
2peEMolf3w6luCYj2OvJ0b+9IoOwfspjqZKKYFSX+ZSADMLbwDtu6f9EoTGd
90OPpBEFr2z0i74iqGt+PLidPZnQtxANqK9DYJWSb61h85YI0xmr3VGP4C4V
knenKpao3USTf/4HP5/rRmeTfizhuBBMs2tCYM1ltXfC9jURlDIh2dmO4PuY
5a4TnNFEKXd94UA/ghMx0gFNNo+IlaMZK80HEZjxfbV2NIggbFvvO6UOITi6
1XK67mg4QX0y4ndHCNRPDvIOcYYRKxyyj038RaB4ritwme0t4vC+iHTrfwiM
hiLWrrK7Qbzc4cL5ZRLBJmbBmCiXL6EsIJviO4PgFk1LU9zWg/CcWlxomUVg
6aDyVIXrAlHY03J49zwC2+wKmrLtKYKL/jnh9QICrt5XQQdtLYj9+ZEzS7+j
OziurXbk9fj2P2KYO68=
           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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               "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1}, {-0.9999999998982306, 
              0.9999999004695188}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 1}, {-0.9999999998982306, 0.9999999004695188}},
            "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 1}, {-0.9999999998982306, 0.9999999004695188}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
          PointBox[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQPLCqwCs5uP7lddv3BP26dV9jL6ZZM0zx21NwHz
d9lv1o0yK9z8yD7UuZL3qekR+0scXdUffj2Dyp+ynyykt8drxjv7cqDslOsX
7C3sOJrsEt7Zp4PVX7G/mSZ0sZ3pub1LJViBvUDEr+c27C/slcD6b9lHMNZd
Y7t7014QJBtwzz7Evz7v1tWzUPMe2D8XO3qBR/zo/nwNkIZH9p56rz0eOj/Z
Hwc2/4n9JhuGUPn3z/f7ggWe2k/tEp8+59jL/RD7nttbz+zJcpj7br8x0PQ4
55f2901kLs73/bRfG2z/K/t9FbN4biq92C91Khtowxv7WSYXdh2wfbYf4p53
9nP0m/gCXt3dDwmtD/b8Pbs/v2Hcbw8Aa7udpA==
          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQPLCqwCs5uP7lddv3BP26dV9jL6ZZM0zx21NwHz
d9lv1o0yK9z8yD7UuZL3qekR+0scXdUffj2Dyp+ynyykt8drxjv7cqDslOsX
7C3sOJrsEt7Zp4PVX7G/mSZ0sZ3pub1LJViBvUDEr+c27C/slcD6b9lHMNZd
Y7t7014QJBtwzz7Evz7v1tWzUPMe2D8XO3qBR/zo/nwNkIZH9p56rz0eOj/Z
Hwc2/4n9JhuGUPn3z/f7ggWe2k/tEp8+59jL/RD7nttbz+zJcpj7br8x0PQ4
55f2901kLs73/bRfG2z/K/t9FbN4biq92C91Khtowxv7WSYXdh2wfbYf4p53
9nP0m/gCXt3dDwmtD/b8Pbs/v2Hcbw8Aa7udpA==
               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-1.14395124133744, 0.956090323962217}},
              "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-1.14395124133744, 0.956090323962217}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQPLCqwCs5uP7lddv3BP26dV9jL6ZZM0zx21NwHz
d9lv1o0yK9z8yD7UuZL3qekR+0scXdUffj2Dyp+ynyykt8drxjv7cqDslOsX
7C3sOJrsEt7Zp4PVX7G/mSZ0sZ3pub1LJViBvUDEr+c27C/slcD6b9lHMNZd
Y7t7014QJBtwzz7Evz7v1tWzUPMe2D8XO3qBR/zo/nwNkIZH9p56rz0eOj/Z
Hwc2/4n9JhuGUPn3z/f7ggWe2k/tEp8+59jL/RD7nttbz+zJcpj7br8x0PQ4
55f2901kLs73/bRfG2z/K/t9FbN4biq92C91Khtowxv7WSYXdh2wfbYf4p53
9nP0m/gCXt3dDwmtD/b8Pbs/v2Hcbw8Aa7udpA==
           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-1.14395124133744, 0.956090323962217}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 1}, {-0.9999999998982306, 0.9999999004695188}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.9482220612863827`*^9, 3.948222067343527*^9}, 
   3.94822229358637*^9, 3.9482226590037193`*^9, 3.9482237900652733`*^9},
 CellLabel->
  "Out[822]=",ExpressionUUID->"82a5d709-d14e-409d-9dc3-a3709bead9b5"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{
    FractionBox["1", "1000"], 
    RowBox[{"Sum", "[", 
     RowBox[{
      SuperscriptBox[
       RowBox[{"(", 
        RowBox[{
         RowBox[{"#", ".", 
          RowBox[{"polyBasis", "[", 
           RowBox[{"Length", "[", "#", "]"}], "]"}]}], "-", 
         RowBox[{"Sin", "[", 
          RowBox[{"2", "\[Pi]", " ", "x"}], "]"}]}], ")"}], "2"], ",", 
      RowBox[{"{", 
       RowBox[{"x", ",", "0", ",", "1", ",", 
        RowBox[{"1", "/", "1000"}]}], "}"}]}], "]"}]}], "&"}], "/@", 
  RowBox[{"{", 
   RowBox[{
    RowBox[{"as", "[", 
     RowBox[{"[", "6", "]"}], "]"}], ",", 
    RowBox[{"as", "[", 
     RowBox[{"[", 
      RowBox[{"-", "1"}], "]"}], "]"}]}], "}"}]}]], "Input",
 CellChangeTimes->{{3.94822171756528*^9, 3.948221730141535*^9}},
 CellLabel->
  "In[823]:=",ExpressionUUID->"ce01a5ff-e386-49cd-932e-f969de5ec286"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{"13.934410692114641`", ",", "11.654385034908975`"}], 
  "}"}]], "Output",
 CellChangeTimes->{3.948221776710291*^9, 3.948222062852532*^9, 
  3.948222659606792*^9, 3.948223791155074*^9},
 CellLabel->
  "Out[823]=",ExpressionUUID->"2b9abaf1-daa3-4fd3-8c60-190b388e81e3"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListPlot", "[", 
  RowBox[{
   RowBox[{
    RowBox[{
     RowBox[{
      FractionBox["1", "1000"], 
      RowBox[{"Sum", "[", 
       RowBox[{
        SuperscriptBox[
         RowBox[{"(", 
          RowBox[{
           RowBox[{"#", ".", 
            RowBox[{"edgeBasis", "[", 
             RowBox[{"Length", "[", "#", "]"}], "]"}]}], "-", 
           RowBox[{"Sin", "[", 
            RowBox[{"2", "\[Pi]", " ", "x"}], "]"}]}], ")"}], "2"], ",", 
        RowBox[{"{", 
         RowBox[{"x", ",", "0", ",", "1", ",", 
          RowBox[{"1", "/", "1000"}]}], "}"}]}], "]"}]}], "&"}], "/@", 
    RowBox[{"Join", "[", 
     RowBox[{
      RowBox[{"as", "[", 
       RowBox[{"[", 
        RowBox[{"2", ";;", 
         RowBox[{"Length", "[", "testdata", "]"}]}], "]"}], "]"}], ",", 
      RowBox[{"Reverse", "[", 
       RowBox[{"as", "[", 
        RowBox[{"[", 
         RowBox[{
          RowBox[{"1", "+", 
           RowBox[{"Length", "[", "testdata", "]"}]}], ";;"}], "]"}], "]"}], 
       "]"}]}], "]"}]}], ",", 
   RowBox[{"Joined", "->", "True"}], ",", 
   RowBox[{"PlotRange", "->", "All"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.948213593242156*^9, 3.9482136694857197`*^9}, {
   3.948213772579567*^9, 3.948213776296318*^9}, {3.948213818203815*^9, 
   3.94821382625779*^9}, {3.9482139633127813`*^9, 3.948213963520137*^9}, {
   3.948214498223065*^9, 3.948214505726357*^9}, {3.948220586592793*^9, 
   3.9482206081052313`*^9}, {3.948220906413961*^9, 3.948220931102378*^9}, {
   3.9482222982139797`*^9, 3.9482222992537203`*^9}, {3.9482223918543463`*^9, 
   3.948222403353589*^9}, 3.948222437972485*^9, {3.9482226707816668`*^9, 
   3.948222680565151*^9}, {3.948222992219144*^9, 3.94822299264189*^9}},
 CellLabel->
  "In[824]:=",ExpressionUUID->"defda054-10ca-447b-b647-94d42a909770"],

Cell[BoxData[
 GraphicsBox[{{}, 
   InterpretationBox[{
     TagBox[{{}, {}, 
       TagBox[
        {RGBColor[0.24, 0.6, 0.8], PointSize[0.012833333333333334`], 
         AbsoluteThickness[2], LineBox[CompressedData["
1:eJxTTMoPSmViYGDQBGIQDQEf7P//m7/pssZpe6iAw2aeyBwrPRifw2G/5+Wg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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ]},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{}, {}, 
           Annotation[{
             Hue[0.67, 0.6, 0.6], 
             Directive[
              PointSize[0.012833333333333334`], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJxTTMoPSmViYGDQBGIQDQEf7P//m7/pssZpe6iAw2aeyBwrPRifw2G/5+Wg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              "]]}, "Charting`Private`Tag#1"]}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0.166666666666667, 41.}, {
              0, 0.21234827318594326`}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0.166666666666667, 0}, 
            "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
            "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
            "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0.166666666666667, 41.}, {
             0, 0.21234827318594326`}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0.166666666666667, 0}, 
           "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
           "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
           "DefaultStyle" -> {
             Directive[
              PointSize[0.012833333333333334`], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           ListPlot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{}, {}, 
       Annotation[{
         Hue[0.67, 0.6, 0.6], 
         Directive[
          PointSize[0.012833333333333334`], 
          RGBColor[0.24, 0.6, 0.8], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJxTTMoPSmViYGDQBGIQDQEf7P//m7/pssZpe6iAw2aeyBwrPRifw2G/5+Wg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          "]]}, "Charting`Private`Tag#1"]}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0.166666666666667, 41.}, {0, 0.21234827318594326`}}, 
        "Frame" -> {{False, False}, {False, False}}, 
        "AxesOrigin" -> {0.166666666666667, 0}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           PointSize[0.012833333333333334`], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        ListPlot, "GroupHighlight" -> False|>|>, 
     "DynamicHighlight"]], {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0.166666666666667, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "AxisPadding" -> Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "DefaultPlotStyle" -> {
      Directive[
       RGBColor[0.24, 0.6, 0.8], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.95, 0.627, 0.1425], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.455, 0.7, 0.21], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.922526, 0.385626, 0.209179], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.578, 0.51, 0.85], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.772079, 0.431554, 0.102387], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.4, 0.64, 1.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[1., 0.75, 0.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.8, 0.4, 0.76], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.637, 0.65, 0.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.915, 0.3325, 0.2125], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.736782672705901, 0.358, 0.5030266573755369], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965], 
       AbsoluteThickness[2]]}, "DomainPadding" -> Scaled[0.02], 
    "PointSizeFunction" -> "SmallPointSize", "RangePadding" -> Scaled[0.05], 
    "OptimizePlotMarkers" -> True, "IncludeHighlighting" -> "CurrentSet", 
    "HighlightStyle" -> Automatic, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0.166666666666667, 41.}, {0, 0.21234827318594326`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.948213620594811*^9, {3.9482136559246073`*^9, 3.948213712831036*^9}, {
   3.948213757099923*^9, 3.9482138329013443`*^9}, {3.948213956791308*^9, 
   3.948213964720673*^9}, {3.948214143746353*^9, 3.948214168562085*^9}, 
   3.948214218457143*^9, 3.948214421717812*^9, 3.94821445497476*^9, {
   3.948214494842857*^9, 3.948214507633852*^9}, {3.9482147431504593`*^9, 
   3.948214769850012*^9}, {3.948214858458247*^9, 3.948214877048462*^9}, 
   3.9482149982918377`*^9, 3.948215071890522*^9, 3.948215291995104*^9, 
   3.948215419190838*^9, 3.9482154574113894`*^9, 3.948215516937271*^9, 
   3.948215559907177*^9, 3.9482156094636087`*^9, 3.9482157148321657`*^9, 
   3.948215748564295*^9, 3.9482159561652412`*^9, 3.948216694895289*^9, 
   3.9482169379998913`*^9, 3.948217066547081*^9, 3.948217312809943*^9, 
   3.948218719836681*^9, 3.948218833488612*^9, 3.948219455257349*^9, 
   3.948220242289995*^9, 3.9482202798556633`*^9, 3.948220620297542*^9, 
   3.948220757553961*^9, {3.948220926295884*^9, 3.948220951198298*^9}, 
   3.94822105768297*^9, 3.948221596008532*^9, 3.948222092860569*^9, 
   3.948222160512904*^9, 3.948222301127252*^9, {3.948222395212304*^9, 
   3.948222398388495*^9}, 3.9482224523692837`*^9, {3.9482226612870626`*^9, 
   3.94822268173533*^9}, {3.948222966217083*^9, 3.948222994947028*^9}, 
   3.948223432791651*^9, 3.9482237959548273`*^9},
 CellLabel->
  "Out[824]=",ExpressionUUID->"890b6588-ab8c-4d16-ae4b-440a9b9a42e2"]
}, Open  ]],

Cell[BoxData[{
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
figs/fit_data.pdf\>\"", ",", "dataOnly"}], "]"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
figs/fit_truth.pdf\>\"", ",", "truthOnly"}], "]"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
figs/fit_data_truth.pdf\>\"", ",", "dataAndTruth"}], "]"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
figs/fit_basis_poly.pdf\>\"", ",", "basisPlot"}], "]"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
figs/fit_underfit_poly.pdf\>\"", ",", "underfit"}], "]"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
figs/fit_goodfit_poly.pdf\>\"", ",", "goodfit"}], "]"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
figs/fit_overfit_poly.pdf\>\"", ",", "overfit"}], "]"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
figs/fit_overparamfit_poly.pdf\>\"", ",", "overparamfit"}], "]"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
figs/fit_bias-variance_poly.pdf\>\"", ",", "biasVarianceCurve"}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
figs/fit_bias-variance2_poly.pdf\>\"", ",", "biasVarianceCurve2"}], "]"}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.948261396853858*^9, 3.948261456102914*^9}, {
  3.948262002062767*^9, 3.948262010053669*^9}, {3.948263254535993*^9, 
  3.948263278400828*^9}, {3.948264466456936*^9, 3.9482644798256807`*^9}, {
  3.948273980266115*^9, 3.948273987450266*^9}, {3.9482758400977917`*^9, 
  3.9482758469938517`*^9}},
 CellLabel->"In[76]:=",ExpressionUUID->"89df9a87-bbde-4eed-acbd-026f71c05d25"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Sin", "[", 
        RowBox[{"2", "\[Pi]", " ", "x"}], "]"}], ",", 
       RowBox[{"as2", ".", 
        RowBox[{"polyBasis", "[", 
         RowBox[{"Length", "[", "as2", "]"}], "]"}]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
     RowBox[{"PlotPoints", "->", "100"}]}], "]"}], ",", 
   RowBox[{"ListPlot", "[", 
    RowBox[{"testdata", ",", 
     RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.94813081071697*^9, 3.9481308929987507`*^9}, {
  3.948132238910755*^9, 3.9481322401010427`*^9}, {3.948137334422831*^9, 
  3.948137339243318*^9}, {3.948137727243544*^9, 3.948137728458662*^9}, {
  3.9481379459479103`*^9, 3.948137959780064*^9}, {3.948138000630261*^9, 
  3.948138000909213*^9}, {3.9481382718091097`*^9, 3.9481382852840242`*^9}, {
  3.948139799384047*^9, 3.948139819863104*^9}, {3.948174624183724*^9, 
  3.94817463099712*^9}, {3.9481988535912323`*^9, 3.948198857437357*^9}, {
  3.948200761787176*^9, 3.9482007652179623`*^9}, {3.948202784605001*^9, 
  3.948202793420834*^9}, {3.9482043446934032`*^9, 3.948204346027783*^9}, {
  3.948208638748238*^9, 3.9482086560741987`*^9}, {3.948212760335553*^9, 
  3.948212764762075*^9}},
 CellLabel->
  "In[673]:=",ExpressionUUID->"f1af494d-9d96-4899-b3af-8673ddf60d9f"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ], 
        TagBox[
         {RGBColor[0.95, 0.627, 0.1425], AbsoluteThickness[2], Opacity[1.], 
          LineBox[{{1.0101010101010102`*^-8, -0.21771422406513696`}, {
           0.0001518098798729466, -0.4626529879167549}, {
           0.0003036096587357922, -0.7031573873000363}, {
           0.0006072092164614833, -1.1710632712104034`}, {
           0.0012144083319128656`, -2.0558409438427083`}, {
           0.0013662081107757114`, -2.2666853763827732`}, {
           0.0015180078896385569`, -2.4734848894797445`}, {
           0.001821607447364248, -2.8751360490156816`}, {
           0.0024288065628156304`, -3.631932706619294}, {
           0.0025160813800331407`, -3.7352907005546028`}}], 
          LineBox[CompressedData["
1:eJwU13c8Vt8fAHCEiJBUoiRJVkVFiq8PJckoya4kipSEZGS0JCTKrEiRUfYm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           "]], 
          LineBox[{{0.998768370279168, -3.7352907005546028`}, {
           0.9988206318833852, -3.593923554979681}, {
           0.9989891115999002, -3.1277254768670146`}, {
           0.9993260710329301, -2.163343239695526}, {
           0.999494550749445, -1.6648549717558263`}, {
           0.99966303046596, -1.1552964193175979`}, {
           0.9998315101824748, -0.6345113368858013}, {
           0.9999999898989899, -0.1023417753306548}}]},
         Annotation[#, "Charting`Private`Tag#2"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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               "]]}, "Charting`Private`Tag#1"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              
              Line[{{1.0101010101010102`*^-8, -0.21771422406513696`}, {
               0.0001518098798729466, -0.4626529879167549}, {
               0.0003036096587357922, -0.7031573873000363}, {
               0.0006072092164614833, -1.1710632712104034`}, {
               0.0012144083319128656`, -2.0558409438427083`}, {
               0.0013662081107757114`, -2.2666853763827732`}, {
               0.0015180078896385569`, -2.4734848894797445`}, {
               0.001821607447364248, -2.8751360490156816`}, {
               0.0024288065628156304`, -3.631932706619294}, {
               0.0025160813800331407`, -3.7352907005546028`}}], 
              Line[CompressedData["
1:eJwU13c8Vt8fAHCEiJBUoiRJVkVFiq8PJckoya4kipSEZGS0JCTKrEiRUfYm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               "]], 
              
              Line[{{0.998768370279168, -3.7352907005546028`}, {
               0.9988206318833852, -3.593923554979681}, {
               0.9989891115999002, -3.1277254768670146`}, {
               0.9993260710329301, -2.163343239695526}, {
               0.999494550749445, -1.6648549717558263`}, {
               0.99966303046596, -1.1552964193175979`}, {
               0.9998315101824748, -0.6345113368858013}, {
               0.9999999898989899, -0.1023417753306548}}]}, 
             "Charting`Private`Tag#2"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1}, {-3.7352907005546028`, 
              1.5102688619759503`}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 1}, {-3.7352907005546028`, 
             1.5102688619759503`}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.95, 0.627, 0.1425], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC
tixlqScp+8wg2XfmPdtcS7Lzu/7y+X7em3n3nnvuuecNGcdLh89wsLGxzbKz
sS39HYyPqRDNNNY9NT5R6cjroVt+wnCkt28jfPhqI+WtfxDCy0XC8/rUwaxz
L5+6/kkYWVhofddnCEJt13QF9C/B2xdXuF70WULBgQXzYb0AmGFueR7Zdxqs
eHYrJOk9hAQBvu6IvitwxDriXC68gbnY6ZCHfYGwQnL39RntdDB6/eBaacET
EEz2HfPbXQRi66kMevVrULQKyM/gL4On85HMOOt4OD6zc89ADB2GjIsNfTOT
QMmIw7iksQ7MnJ/21GekwZ6W/Zw9oQ2g7aHdnyDwCVZxqu30cG8B6ZAzR3Vz
s8GgznrvO/kOCF3ePbBG9TNY2psZaUEXNOX0vQvoygPaOdfG7Llu+MjQvrHZ
qRBsudUFgkN7gW6wr2Zr8zfYujlqUnG2D4ZGRuS6iovgku36HbOeJGR59Y1X
shdDS1xYstk3CliPY+qvH/sBe1PvmHrzDECN3acrbWklYMQjvyirMggTtu4b
Tgz+BNUtAq72m4fgwfBo73uDUjBynYyLEx8G5y/rvggGlsHpA5/aqluHYcjj
yzW/u2XgY7w2u7VjGC4rWe2kHpSBiYC6S3/3MPi/vpf7/XkZSJW8uDlHDUNE
0Ey2Z1oZ+G3ZqcE7MQz5hxozm5vKoOIIX1QhPwsE+yNTElTKQUmKUR+qxYJs
cb43uu3loPKqmT/rIQso4+cij3vKoUL5zaTyYxasuyx3v48qB1fm1cr4JywI
rACf++PlkK6VuiX8BQsO+3laNvNUwA7VyIa971gw2tq23Eu9Aipq1F5Z57Jg
a2yGe+rdCugWmi3tbGaBY9Vuki28AsJfrQ9a08aCZ1MV9laRFeDmsV3WvIMF
C4f6zGZjKiAhL04ovYcF1exr5UyzKkBI3/zhsSEWuJwObOptq4CDDo0rD86z
IEne2mCdeiWk+FmveyOJIHdSbvfqXZWQbJ793l0KQXHZxE7+3ZWwaq3kET0Z
BK0Xnm6Z21MJmh5v5ZplEaxM/y3WalcJc6nXwiaVEHjttEQvb1fC9f7KfU2a
CIxMDr2SqK0EtRcX/+20QmAhLh21qqESONlaBGhHEJwYQI/4WishxF/cxNEG
gff9h3dm+yqh4N072WA7BCkM2uWW6UroOn7YL9sBgfDR/aYvZapgeE98WJ4L
gs7zZv/WelRB5aBx5PFABHtMzwvc8KoClfT6gbogBKkKd2W7/KrAPF9R0DQE
gS/583BiSBVcci/8rByKQOSMfrr6qyow80+NbApHYOaw65x5aRWsSCiyLX+B
IBNsAtKrquCkcpGD5EsEYlJez4Rrq0CM85/apVcI+tqyShpbqyB4X8J2/jcI
bh7bJnNmrAr4nj7IVIpHkGMt33xdshqCTry8xJaGYN0O49HODdXgV2a4UjUd
wW0RJx4jhWr4IFHgczIDwaHfb3esUK+GecHihJxPCAYsJCOfmVRDJ2Pg7N7P
CKT3rzZPv1INCbsmXdmKEIQZcnzrLK+GX52v/iujI6goPX2UolXD8ZiNmnEM
BCvMf/5FddXQEaHi7luDINTqrtJiWzXk3f7AL1eH4O4ZwReSY9UgPZsw7/gH
QfCdtZ52a2kg3/c3+1YrghI+fyFHKRq0ZY/TdNoQcEW0JZ+XpYENf/bkBHbQ
89gu7600UNpnftWxA88nSf5glAENTLwSpGS7cTwq1RR/X6DB3stFm8xIBEUH
n/xsuUQDyUS6AhOb7feEQ48nDVicMztvUggCWr9Ejd2ggdMP35tp/QhuDOty
/xdJg7/tynnjgwi+ecTGij2ngSuXiOLNIQTzE+w60jE0WLjN+LBiGIH/Qsnl
bYl4vL1v6OIsBH5C+zr3F9DgweGC79IjCPIjP/odKaKBRqBtbAz2zBrBNfY/
afC0/u59sVGcH9I1+13oNGDjDn7AM4bzUdWmIKyHBp+0ZFRrxnF+W55+VspH
h38SM1NckwiczHKpnJV0aPtk0OKAfVifVztehA7amyTa87G3bUvvuClFB9eP
Z43PTyGgVswqaKnTYeuFlhfp0wj+sB/wU9hFh/zzIjfnsH9OxVaL7qaD8eYv
IXtnEMQx91we30OH85fkJxqwjxU/LvhoR4cVSNW6exbna16fwMuTdJhm2w3S
cwh2ZexyCHWiQ2pBhMlx7NWv27nOutEhbztXIQ2b46mqjdUVOtzWk5Tnnkcw
ei8oycCbDiNhHhma2DQfxQNSt+lQlUzIxWAXul+PFbhDh5CPWSursJOdGWOz
9/Dn9zRITGPfOeIV1fiUDgI1cY/3L+D4mJf3/4qmA41mvOCJ7WS4TifnDR1U
AgTDorH1VIs7HyXRwWcvD0cn9lYFEfWbaXTw3r+dtYi9TupcsFsWHUy7A2Yk
F3H+ihY0HP9CBwNDprwW9jS/oOK+r3SoLz97xQqb4jzlr1lMh8eDix0u2H9m
smibSumwWSvDJRC7ZHSZjGgVHZxOe4k/x/5EHb3CVYPjr2rBTMaO7fj4c6ye
DuGhUFeA/fDP4pquZjoku+l1VmDfqD58gd5Bh9KFwwKN2C4l7wu/9uL18fSy
68G2K5gS/NhPh3i55NIhbJNP+05Fs+gQFDxs9Rd7R9LrrLvjdHi7QY9jBlsu
dpT72hQdfie+pc9jr44ysj0zTwex1v++LmKzl+6r38zOgKC4iIolextcXYjl
ZMD+GcmppfvR19ebxJYx8HjyjJe+76xm2aGHPAw4QzplLT2vPXvUZxkfA3KX
S+kPYx9RkXh3XYAB5+kUa2m8VSlGVX+FGGBeUVy4NB/DTW4TF4UZYBabmlyJ
nR8Xtb5nNQMuiiR/KcRWXf99r90aBjTy5jFTsD+8GHCvEWdAvU+LxgtsKZHV
0SbrGPDruvC7IOxnEbt/EOsZsMXspKrb4lI9iRBJ28iAyWhI08ZWDOuqspNn
gJi2gNzS+tLuqwUt38wAi5T/nOfw+os+/j3msBXPT7HMPBs7/4lcsoAqA/LV
AkbuY5+I8jqVr86AHXNeJ09jJ7wSY6zSZMB9D403vNhmb87fKdJmQNx+Nvcm
nJ+st/m6rrr48/vE+ROxdyQeT/1lyICsfL0EbexfmbFhPgcYEKvPcDTD++NC
9qi+vAUD5mfcwnmwBT8bTNdaMkCl1ze4BO8368JeZ+WjDMhUGa7fjs38pWDc
cZoB62PL2Bbw/g0r95m7d5YBH3KO303G3lpVkbXrPAN0S+60WGF71bhseOzG
gLdP8nvjcD1Y3pqxaOTDALYF/UBZXC8+trN/HvVjgHqp9jniHz4Pug67vb7B
gIMCbOK22M+Zf1snAxngnMPVfnsCgcLorvzkcAY88qP/+4rrU9V4qIfNIwbI
bhjW2ovt/q9ZgesJA/QChffRcD37MusfZf+CAbX/ntLrcb0zWfbdc2U8AwYz
Ll+oQAiGeISVvyYwQGpzkZABdgTf6Z7zSQzQOHz81mdcTxtXch/+kYbjuTqx
/CWut+ckTLd55TGg6OJLZIrrc6hKTX8LjQEXHDdF6zARRAcb9tjVMKDhaF3E
qz5cP5pzWpvqGBDxfGvMTC8eb1A0vaGRAYeR+GRGD4530+mcum4GZIS1ZCzr
QvD41r+blf8YoHxgk7F1C66Hf875mk3jeK+MehnVjCBLqeVK+Sx+vv9JnoYm
BL/ribOlbDVwOVtB7lAjgjWKoeY/VtSATizpolSP4FWthFjB+ho4NoRrGg3H
e1P4f1oyNeCn58WeVI3gqz8bX97GGnDn1Wkur8L7Sb5vPlehBuwyjtVwV+Lz
1y+t55NaDQgWnG84W4rg/Ub99OQ9NUAcXH2wmkCQ5nl2T7RbDQizGx5Rxuf7
0CE22gGPGtD+8td2JhXB5i3RRzg9a6Aw+o30r48I4vuqnVx8aqBkceecdTKO
l/X2QN2gGshgtTHt3yMI2cVV1P2iBppoDTFsuP+wn3urqfSzBpzvPdKMxv1N
dKP2947SGrA486RfGvc/jdn1Jk8qauCBzDOH97fweeTKaztPr4GX19njE2/g
9W5396I314CA+qXAR94INIog68pIDZi/7CucuYiAP6hNuVCiFnLXuPZutEDw
VnxEyGl9LYgNL++4eBDvn3SOcT6ZWuj0KPiSuR/ByeZNecfka2H3QC/vTjNc
X1UuG8+q1AJl+URewRCBbduyE1p7asHJ0dMpXgPHa4fKwy/utTDLbVLLLYpA
t//2aPbPWlDa/RRdqWUB1OSKbiurhRt62d7HGCzQyxvQTqrA10+abdOnscAw
9HBIDL0WUk8dk1tewQKTzRskQppqYW/S413Xv7PA8vx3I5vhWgiSKF4jnMGC
c/2LUdOr68D57Ka4jnsseNTvr6vrVAfXhIVD/9NlQZFt4+jw2To4m0sdOaDN
Alap+vuY83UQWnCFJ3QXC8wSBvjm3erA9IyL1JQaCzhO2zYV+NSBaLn12q+b
WODZqu6p+bAO6JyLl7pXssCWPpCkkV8HNiaF7K+6hmF9jq2I0srfcDztvccf
/2Gokgj1/JDxG1KOlhz6kzwEBxrJzLn99SDHR6+c/z4IvA4KPtlT9eCjKd6+
9sMA9N3+WjYX9QeaLrPz5oT0w6y7RtwHowa4o9au6a9KgdrMImdfXwOYe9E/
WTQzYXfTtOFUYCMw9CdGN3v2we3AeoFL25qg7ETMZbKxB8gybgcvehNUrnKZ
2mXcDSFNa3S6/Jth2ek0DeTXCdNg+2/Dphbwu25RGWfRBg/0h3dN/GwBh0sT
+drVTXBM0Ilb6XIrFJw5f8+uqx7MvLbZjQq3wRWZq4htQy0IaGx+EJ7RBmfT
RYwLyqqA9yuX2cNj7fCHf2/mvfslIN+l8VB6th1O/hPzC3qUB9cZe06IfOgA
Keunp6wM3sLvsB/BIwqd4Pqsn+JcFUtMzzyIXe/dCaMBraeOPPhMFBwyvblQ
3QnoxdkT6RtLCMG/W+Pl13dBMrv3H4X2SmLBn/sB29UuUJUp+RotVEs0qoz3
Gld0gXOv1LsZnj+EgRrfrTrxbvhLbvvP50MTYSq+ulvYvRvW3+OeM/VtIzr3
770TXdQNvGpie8u8OolTqY9ePhDqgZAumxYFsW4iYKzKU+1MD3xTqliVVt5D
bA1WeyyV0wP223iPPjXrI3zm73p+4+uFnSaLpx/+ZhJpsf9+ljn0goLifIGx
LkV4Pgo/JpHRCydH43nIa/1Eg/OaXKllfeCTuPVMVsYAUXGvwsrFug8IfvOf
zLxBIrH5iaPs+z54MtJm+ePdECEjdGh7+Ewf7LaRfm4YOEwovk+Zr8Lv1eIz
WcgkZJhQ017+i2++D+7cdgs0Dx0mDJy/WYcu9kF325sTBx4OE46EsncQFxPO
trLadV4OE/GXeAt8BZkQ+uVSR8mnYUKeUaznvIEJ61wlEgM6hwmlR9vN9cyY
kLlwq+fZDhZRMRDf8mIfE783XFc9pckizhmtvjhuzgSn6tGTm3VYRMLkWGjC
QSZsSrpun6XPIqRPZJTyH2HCiOKn+lRzFrFaScmw6SQTOFIjHuo4soiFEmmt
y1eZENgv3ETcYxGv1keUV3oxQW+bfKNxOIvQ9l60lfNmwgKtILM8gkV4K7Vf
a/RlwpqjeeMVT1nE+KOXObo38f1Zq9Oy3rAI6oSoKt89JtzYFVQvmcUiaqf4
FOJjmSAl9q/IspFFJM7ea2S+xeM98OeVWzOL8F/gC938jgnFP7qf3GllEfJc
/ANp75lwenKuMauTRfgI8X/MS2bCIj0+dYLC85HnV6FnM0FR9JnL+mkW4WbJ
v2umjAmlXLlnOMUQYWh9n9KpYMLO+rjQLnFEiB3lfxFQyYTDA40/v0ogovgE
/wwXjQmjBz+G4PdrQuQCf6FQHRPyI37JE/KIKLzJryfXxoRq845Stu2IWJHG
b3JolAmGx3yqVh9CRJiAacL9MRy/yalXqRaI4HMN5iofZ0LjU6enRpaI4Fde
KNL/xwRlqdh5F2tECCYjTfVZJhTuWZmUeBwRwgm1SqLcJJxyvmRTcg4REq+f
C7WKkTBol+UZHYCIV/O/XcXWkgBep0SnbiJinf1/VVYSJFz7rtZmeRsR69eF
3a2WJEFaYriJOxgR0tF+7MQGfN0x7IFlGCJkn50Yf6tMwg9zoaqnTxChHC7b
4KxHgkiovkxOIo5PpufcN30SHkkfz0cfEGH3u0RG1JAEs+d8GxSSEXF37RmX
EmMS1hfVHn/8ERG9Ce/ZZfaRoPUi9bp5Jh4fIa/cfIQEL6fLdjb5iMjq9rJQ
tSGh+AhfnVsBIiq4S73u2pJQrzAqFlSIiKl9zt93HCOBo8ya/8M3RFg1JlpH
OpDwosDnYX0xjteowi3ziyRMz66b/FWBiI2rfRLeuZBw/FmjdkElIrR2llfO
uJIgLFhknlqFiHPXz4smuZMQlEyvDaMhooQ3OYXbiwT7XDk3pVpE+G9Q+vPt
Jgmi+2h1HE2IiDT2mxW5TcLXNd/r6rCTz1VKuwaSYF7Z9zquGRGNaRcvSoSQ
IFd875lmKyI0tD+yed8jwcSvmHd/ByIGLbcoqT4j4SSS+svbh4hd0uEeHlEk
HKheJfURO2SI9TnzOQldpmb25ky8HsEZRmovSVj10HbVHRLPN1f9hHosCStb
x5z6+hHx9vaT+CtvSbDyGFfwHkAE68DEQFYcCeVhQ4s8g4gIJXOvabwnQePy
e6bsECK+iWk92p6M45dq9MyYhfOtL7rhagoJnlskRsuwbTNnJXM/kpB6J/GE
GULEuOnX5B3pJBQkFXvsHUGEgp9eyc5sHE/TbdcUxxDxuG3PpOY3EhZqP0xF
TiCiIylxty9BwodWT78pbGUvnqD8IhIOEndWHvuHiFLBipXaP0joOHXBY+0k
IuZgv6JOGQlPOgMFbk8hwpQ/zd2/nIQtCUyZBuxnjYKfCyvwfEdOmyhOI0LV
g2G4u5qEB+uiKyuwz8ZZ2uvWkuCXcSn57wzOH7fsdzfqSGh5I31QaxYRbNoi
A99+4/mrlXLfwH5Z98cLGki4z933YRGberPza0AjCSNXrJ7unkPEDpfnnEVN
JIh1JkX6YDO47CL0Wkm4ajX1cxBbsib/z802Ep55D0zLzCPiQoyE5Pd2Eg7X
ZoM1NveOtiT9LhzPhJ9sediHOXRHbnWTYKG0zJ/EjqW93lHcQ0LejDDv6gWc
j84OPwyYJMj/CbF1xl4/+ZsRQ+L8s5E0eITNcce0fYoioVHlOPkFmyn6bdBy
gATvSD2TduzyBLXptEESdJpKndgXEfFxR+KyFcMk6AcjnQ3YEb8kVp9hkfDL
MIehh+1pHSFThEjYNCAqbY9ty+TaJjGK881LWOkato6Xj47XGN7P/yWMhmNL
LWOZ1oyTML6CcSUem+OZo43yBAk9reGZn7GZcg1Od/7hfFbsSi7DrsjZd7l7
koRbxM+TDdhpxkUBu6dJCH2kzcDvq8Tjeo0Hz2dIqPumP4ffZ4mrZ5Kix2dJ
aAtv6JlYGs+E5IcD8yQYX54LmV0aT/DjnKQFEqo4MvoWsKVFlv/gYqPgIOfY
In6fJrje+zFOslPAOFlcv3Sd0hhpy+egwG2LjPPS5ytLnAZFuChwTRbMXvr+
NKumKXduCpR17xUuPf9x7/5lVcsoUPGJurk0Pi/P4lWbeChYK6LBtjR+O66d
Mrd5KUj/e0p7aX66T1K2tq2goHbjBrWl+cvISuvs4qfgTsPV3ndL48l+Yhop
QMGY64nDS/GjDHltWIIUHHVr8/PCrqq77mS6kgKp0L8Ox7EzTo95xP9HQXnU
e/al9XkyfjZgUZiCuVdj9jLY3oEt9+1WU+BX0naVDRvelSSuXEPBismoxs94
/Teoa+ZcFKMANrlsjMBe9iO1+Jc4BTwl1Oaz2LTuZ23+6yiYsCDP82F/usw3
2CBJgXrmpXfNOB+fctycUpOiQOto6nP8Pk0c33B+Vb8MBRtlbXK1sAdPaZse
2YSvL//9zRjnP2003TpDgYJqlucfDuxPt2Sd+BQpEHswlPQV7yfftwIB35Up
6Mm8EqSMzdPVkb1FjYKIf548CO/XIXer4rvqFNjT7BdfYDPYyuk9GhSk/Gf6
yQA7SvrTwIudFAgWg/kDvP/lHYKkl+2mYET8jMVyXC9yzXNa7HQp+GVrKhSH
64mxJvNZOlBw85blay1sJ2ETgaMGFKybnth2BteftyV8Myl7KQjOMdgQO44I
lUydHDZTCtpcZC9sxi6KcXU/YkaBMXEuMAPXs3YvOnPBnIJ6Ry3FL6P4vNwc
WWdxGK+XzphpKq6HKSIl4QmWFAjZNkrKYWtxTJjOWlEwaur8IxrXz6Mt1kXx
NhREv30fGDCM69eDtamTx3F+ieY2bcX1+L+xtyExzhRw/VHrk8X1Pba9Vn/s
HAV3Xzo3+uD6r1LJOb/nAgX9RqyYql5EHIg/c2XEhQLbQunYiz2IuG+92cHw
MgXDXW63H3bi9S7I0Oz3p2BmVW25Gz5/5gKJIY3HOP9WPC65h8+3YnH28suR
FGzfEmmVgs+/O+kG7zOeUHDbvpytHJ+Pwi0/7ZWj8HrVrUhbKEPEZrUq2sZX
FNyoO2Vv+RMR1p2NGcIJON9MCiXiviIiXWfMcyQP7w92KqAen+eeteoWWwso
8Mkv/fQlBcfj3NUtLoV4PWOKOaPx+f8rcqqP/IbXX/4Amw3uD1oHFqw7fuD8
Oh97Jv8dzo8XfJq0agq21mSMyEcjwnFCdj6li4I3523ConA/8u2AbyxXDwUG
YokBMkGIWPuBbmjfS4EzaOon4f6l1s43TJCkIGpP+OZPuN8xKKKv8RiiIJC9
71GSDz7/7/mq7Zik4EfE6qatrrj/kGY4F/H3A/l7Gc+Tw4jQ85XjExfsh6GJ
8IIG3I+9qvNN8xDqB50plq74QXzehshNbBDuh++PsnKe7sP9waDv7eA1/WCs
W3zW0wgR8blyMWYb+mF0XHC8DPd3Z8z9an/v7IdyCfUYuijuVw50PRPV7AeF
izl5aDXu9yz2HrPV6gfZH89GBVbhemS9qrdFpx8OrBjKMhLC9zukTHTr98PG
BsmQl8vx/VdbxEb39UOCBtOXNcki0l9rnxRw6AejZIsbig0sYnpkdtD4Lh7P
JTEhDtxP7zi0/sSt0H54XZpYmfOARXim6zEKw/rB8fSxb864Hx9xDc5Wf9AP
uR/y9vwKwf31gOB1mcf9YCMlTbpeZxGNvTKC8y/7YZ2qXbDzBRbxpXGvSnZ6
PzAYCurchiziWlGk54aGfvjv7se7Y6xh4tHVdcUZygNwNKB5fZj0MKHjTbe8
4z8ABXT54L8GQ0SQw5VkoboBOLfG1UxVY5DIvbLVnVNhEHIPvDwRyj9AeP9e
5QvXBmFthlOkbgdFNKwdMNlSPQgyclK2/66TxK+0gWOnJYdAYV+lTNQ6JvHG
laOdy2UISpdfmjmV2kuICPPJ2X4fgj1jRne28vYQ67h0M8ZXDkPm36vvTd26
iKKWU2z6zsNgEH+qRkOng/jLlvHkz+dhsKNVG8bntRDCFiLPG5axgO3z83/H
tzYS1SEXHcKOs6CkbNv+Nzq/CbEVQy7BH1nAkvUfn/ZhEGxX7HXVOBFsQAdK
+5PKiNplzBtmtggOzV6+cfJiEbGdes6Zkojg0kfv/YlWmcSNOk8b/iQE3QIx
2peEMolf3w6luCYj2OvJ0b+9IoOwfspjqZKKYFSX+ZSADMLbwDtu6f9EoTGd
90OPpBEFr2z0i74iqGt+PLidPZnQtxANqK9DYJWSb61h85YI0xmr3VGP4C4V
knenKpao3USTf/4HP5/rRmeTfizhuBBMs2tCYM1ltXfC9jURlDIh2dmO4PuY
5a4TnNFEKXd94UA/ghMx0gFNNo+IlaMZK80HEZjxfbV2NIggbFvvO6UOITi6
1XK67mg4QX0y4ndHCNRPDvIOcYYRKxyyj038RaB4ritwme0t4vC+iHTrfwiM
hiLWrrK7Qbzc4cL5ZRLBJmbBmCiXL6EsIJviO4PgFk1LU9zWg/CcWlxomUVg
6aDyVIXrAlHY03J49zwC2+wKmrLtKYKL/jnh9QICrt5XQQdtLYj9+ZEzS7+j
OziurXbk9fj2P2KYO68=
           "]]}, "Charting`Private`Tag#1"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          
          Line[{{1.0101010101010102`*^-8, -0.21771422406513696`}, {
           0.0001518098798729466, -0.4626529879167549}, {
           0.0003036096587357922, -0.7031573873000363}, {
           0.0006072092164614833, -1.1710632712104034`}, {
           0.0012144083319128656`, -2.0558409438427083`}, {
           0.0013662081107757114`, -2.2666853763827732`}, {
           0.0015180078896385569`, -2.4734848894797445`}, {
           0.001821607447364248, -2.8751360490156816`}, {
           0.0024288065628156304`, -3.631932706619294}, {
           0.0025160813800331407`, -3.7352907005546028`}}], 
          Line[CompressedData["
1:eJwU13c8Vt8fAHCEiJBUoiRJVkVFiq8PJckoya4kipSEZGS0JCTKrEiRUfYm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           "]], 
          
          Line[{{0.998768370279168, -3.7352907005546028`}, {
           0.9988206318833852, -3.593923554979681}, {
           0.9989891115999002, -3.1277254768670146`}, {
           0.9993260710329301, -2.163343239695526}, {
           0.999494550749445, -1.6648549717558263`}, {
           0.99966303046596, -1.1552964193175979`}, {
           0.9998315101824748, -0.6345113368858013}, {
           0.9999999898989899, -0.1023417753306548}}]}, 
         "Charting`Private`Tag#2"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 1}, {-3.7352907005546028`, 1.5102688619759503`}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
          PointBox[CompressedData["
1:eJxTTMoPSmViYGAQBWIQDQNHwhdOfH3r2P5ZM0Fgpb3xsfwTyyTO2kP4O+2n
r1RV63vzwN4YDA7bN6441XK96jVU/qT9hzyx2qutH+0hpl2wz+JO2mSU/wmq
/rL9f+FEOamv7+3TwOCafcikintHPZ9C9d+0N3qgIqC764n92TMgcMc+8Nq9
wvlHbkLNe2D/paH204pnx6Hue2gfdExrK5v39f0Q8x/bt4qv1L6g/GA/RP8T
e67f7Cm1NS/3Q+x7Zv/txs0fnNlv90PMe2G/RnHTK6FPH6DmvbQ//eBn57wj
b6Dmvbb/L8By0PjhK6h5b+yVztcd37nqKdS8d/YuPqu7l987BzXvg73Sc+4V
RjIn9wMAczGnxw==
          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJxTTMoPSmViYGAQBWIQDQNHwhdOfH3r2P5ZM0Fgpb3xsfwTyyTO2kP4O+2n
r1RV63vzwN4YDA7bN6441XK96jVU/qT9hzyx2qutH+0hpl2wz+JO2mSU/wmq
/rL9f+FEOamv7+3TwOCafcikintHPZ9C9d+0N3qgIqC764n92TMgcMc+8Nq9
wvlHbkLNe2D/paH204pnx6Hue2gfdExrK5v39f0Q8x/bt4qv1L6g/GA/RP8T
e67f7Cm1NS/3Q+x7Zv/txs0fnNlv90PMe2G/RnHTK6FPH6DmvbQ//eBn57wj
b6Dmvbb/L8By0PjhK6h5b+yVztcd37nqKdS8d/YuPqu7l987BzXvg73Sc+4V
RjIn9wMAczGnxw==
               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-1.05910007169778, 1.15214795761923}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-1.05910007169778, 1.15214795761923}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJxTTMoPSmViYGAQBWIQDQNHwhdOfH3r2P5ZM0Fgpb3xsfwTyyTO2kP4O+2n
r1RV63vzwN4YDA7bN6441XK96jVU/qT9hzyx2qutH+0hpl2wz+JO2mSU/wmq
/rL9f+FEOamv7+3TwOCafcikintHPZ9C9d+0N3qgIqC764n92TMgcMc+8Nq9
wvlHbkLNe2D/paH204pnx6Hue2gfdExrK5v39f0Q8x/bt4qv1L6g/GA/RP8T
e67f7Cm1NS/3Q+x7Zv/txs0fnNlv90PMe2G/RnHTK6FPH6DmvbQ//eBn57wj
b6Dmvbb/L8By0PjhK6h5b+yVztcd37nqKdS8d/YuPqu7l987BzXvg73Sc+4V
RjIn9wMAczGnxw==
           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-1.05910007169778, 1.15214795761923}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 1}, {-3.7352907005546028`, 1.5102688619759503`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948130859956072*^9, 3.948130955099884*^9}, {
   3.948132240485457*^9, 3.948132250365382*^9}, {3.948132417484611*^9, 
   3.9481324376701603`*^9}, 3.94813260750077*^9, {3.948132688345565*^9, 
   3.948132711310553*^9}, 3.9481327881911793`*^9, {3.9481329628023453`*^9, 
   3.94813298206507*^9}, 3.9481331151859083`*^9, 3.948133145872796*^9, 
   3.9481331931940002`*^9, {3.9481332275257883`*^9, 3.948133248903883*^9}, {
   3.948134412219392*^9, 3.948134424786851*^9}, {3.948134704214121*^9, 
   3.9481347225143414`*^9}, 3.9481349678419323`*^9, 3.948135406718172*^9, {
   3.948135659826041*^9, 3.948135691759862*^9}, {3.9481357472695427`*^9, 
   3.948135770136162*^9}, 3.9481358244100657`*^9, 3.948136618752692*^9, 
   3.948137070588904*^9, {3.948137311093301*^9, 3.948137353352693*^9}, 
   3.948137434492918*^9, {3.948137472737005*^9, 3.948137518400502*^9}, 
   3.94813761059442*^9, {3.9481377242665577`*^9, 3.948137728731876*^9}, {
   3.9481377687762547`*^9, 3.948137808158538*^9}, 3.948137839999218*^9, {
   3.948137915198165*^9, 3.948137961831544*^9}, {3.948138010326825*^9, 
   3.9481380852616253`*^9}, {3.948138171771494*^9, 3.948138194121057*^9}, 
   3.9481382402556753`*^9, {3.948138284976859*^9, 3.948138289201264*^9}, 
   3.948138338382262*^9, 3.948138452037212*^9, 3.948138831793432*^9, 
   3.948139774880522*^9, 3.948139820496393*^9, 3.94813985677387*^9, 
   3.948139978928771*^9, 3.948140059803281*^9, {3.948174674816235*^9, 
   3.9481747521108837`*^9}, {3.9481748303781557`*^9, 3.948174848938978*^9}, 
   3.948174890171731*^9, {3.9481966706451263`*^9, 3.948196686422773*^9}, {
   3.948196875236083*^9, 3.948196902019807*^9}, 3.9481969739781933`*^9, 
   3.9481976022397013`*^9, {3.948197800339579*^9, 3.9481978288297443`*^9}, {
   3.9481981796803493`*^9, 3.948198191489132*^9}, 3.9481982842694187`*^9, {
   3.948198363814533*^9, 3.948198377004696*^9}, 3.948198683700901*^9, {
   3.948198849423388*^9, 3.9481988579656677`*^9}, 3.948199156625474*^9, 
   3.948200294200665*^9, {3.948200333776299*^9, 3.9482003592210293`*^9}, 
   3.9482005409998617`*^9, 3.948200612532401*^9, 3.94820077040834*^9, {
   3.948202039827796*^9, 3.948202050853188*^9}, {3.948202160022916*^9, 
   3.948202217691124*^9}, 3.948202534118414*^9, 3.948202566044837*^9, 
   3.9482026765669737`*^9, {3.948202730993918*^9, 3.9482027416889687`*^9}, {
   3.9482027777348948`*^9, 3.948202828596582*^9}, 3.948202901444715*^9, {
   3.948203071508376*^9, 3.948203086602746*^9}, {3.9482031578164377`*^9, 
   3.948203188109548*^9}, 3.94820324138935*^9, 3.9482033583968287`*^9, 
   3.948203561784759*^9, 3.948203809688518*^9, 3.948203900671369*^9, 
   3.948203945907057*^9, {3.948204328724403*^9, 3.9482043509986877`*^9}, 
   3.948204396359221*^9, 3.948208664017036*^9, 3.948212725553124*^9, {
   3.9482127611527967`*^9, 3.948212765142497*^9}, 3.9482129468182383`*^9, 
   3.94821375804025*^9, 3.948217075400269*^9, 3.948217321226605*^9},
 CellLabel->
  "Out[673]=",ExpressionUUID->"958a8029-3a5b-4cb5-8c98-6c2d8a901d8d"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Sin", "[", 
        RowBox[{"2", "\[Pi]", " ", "x"}], "]"}], ",", 
       RowBox[{"as3", ".", 
        RowBox[{"polyBasis", "[", 
         RowBox[{"Length", "[", "as3", "]"}], "]"}]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
     RowBox[{"PlotPoints", "->", "100"}]}], "]"}], ",", 
   RowBox[{"ListPlot", "[", 
    RowBox[{"testdata", ",", 
     RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.948212771631604*^9, 3.948212773879702*^9}},
 CellLabel->
  "In[279]:=",ExpressionUUID->"28a73a8c-aea0-47e2-b622-44374c6b6c73"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ], 
        TagBox[
         {RGBColor[0.95, 0.627, 0.1425], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwUl3k8VO8Xx6WUIiktQqVIKi2WEOVDybdQEUlIUkpSCamkkhCSbJUt2bKT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           "]]},
         Annotation[#, "Charting`Private`Tag#2"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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               "]]}, "Charting`Private`Tag#1"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwUl3k8VO8Xx6WUIiktQqVIKi2WEOVDybdQEUlIUkpSCamkkhCSbJUt2bKT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               "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1}, {-1.1243953648319711`, 
              1.1133368204166956`}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 1}, {-1.1243953648319711`, 
             1.1133368204166956`}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.95, 0.627, 0.1425], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]}, "Charting`Private`Tag#1"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwUl3k8VO8Xx6WUIiktQqVIKi2WEOVDybdQEUlIUkpSCamkkhCSbJUt2bKT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           "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 1}, {-1.1243953648319711`, 1.1133368204166956`}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
          PointBox[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQOcm89Wtxw8vV91/cI9bZ9W2W9fnMDQeviavQmY
v8t+Q7ZK8vnYp/ahzpW8T02P2Hs98Uq8VfcWKn/KXvRVDdu6rR/ty4GyU65f
sF/14PlvVv0P9ulg9Vfs25mijC3uvLV3qQQrsN9Rptw6je2pvRJY/y37F8Ya
VeWXb9kLgmQD7tmfd9zYnLruNNS8B/a5cy/PO+B5aX++BkjDI/u9tUunKS24
tT8ObP4Te2632wrabK/2+4IFntpzfIs9E6z5fj/Evuf2d9YZNbP8/rjfGGh6
nPNL+2WBN7i8pr/drw22/5W9fpxjGGvxm/1Sp7KBNryx1+w3kuH6+mQ/xD3v
7P0r9Q9PCbm5HxJaH+xtvi+OMNPdtR8A48Oe5g==
          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQOcm89Wtxw8vV91/cI9bZ9W2W9fnMDQeviavQmY
v8t+Q7ZK8vnYp/ahzpW8T02P2Hs98Uq8VfcWKn/KXvRVDdu6rR/ty4GyU65f
sF/14PlvVv0P9ulg9Vfs25mijC3uvLV3qQQrsN9Rptw6je2pvRJY/y37F8Ya
VeWXb9kLgmQD7tmfd9zYnLruNNS8B/a5cy/PO+B5aX++BkjDI/u9tUunKS24
tT8ObP4Te2632wrabK/2+4IFntpzfIs9E6z5fj/Evuf2d9YZNbP8/rjfGGh6
nPNL+2WBN7i8pr/drw22/5W9fpxjGGvxm/1Sp7KBNryx1+w3kuH6+mQ/xD3v
7P0r9Q9PCbm5HxJaH+xtvi+OMNPdtR8A48Oe5g==
               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-1.12378360032283, 1.10685541662554}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-1.12378360032283, 1.10685541662554}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQOcm89Wtxw8vV91/cI9bZ9W2W9fnMDQeviavQmY
v8t+Q7ZK8vnYp/ahzpW8T02P2Hs98Uq8VfcWKn/KXvRVDdu6rR/ty4GyU65f
sF/14PlvVv0P9ulg9Vfs25mijC3uvLV3qQQrsN9Rptw6je2pvRJY/y37F8Ya
VeWXb9kLgmQD7tmfd9zYnLruNNS8B/a5cy/PO+B5aX++BkjDI/u9tUunKS24
tT8ObP4Te2632wrabK/2+4IFntpzfIs9E6z5fj/Evuf2d9YZNbP8/rjfGGh6
nPNL+2WBN7i8pr/drw22/5W9fpxjGGvxm/1Sp7KBNryx1+w3kuH6+mQ/xD3v
7P0r9Q9PCbm5HxJaH+xtvi+OMNPdtR8A48Oe5g==
           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-1.12378360032283, 1.10685541662554}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 1}, {-1.1243953648319711`, 1.1133368204166956`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.948212774434971*^9, 3.94821295061209*^9},
 CellLabel->
  "Out[279]=",ExpressionUUID->"de41f093-c137-461b-9d53-da822c3f3f15"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"rawdat2", "=", 
   RowBox[{
   "Import", 
    "[", "\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
test_abs.dat\>\"", "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.9481307166422443`*^9, 3.948130754169201*^9}, {
  3.9481309111456833`*^9, 3.948130912383401*^9}, {3.948174686216248*^9, 
  3.9481746867275467`*^9}, {3.9481968999131937`*^9, 3.948196900701874*^9}, {
  3.9482030689210777`*^9, 3.9482030693756723`*^9}, {3.9482091122766037`*^9, 
  3.948209115812999*^9}},
 CellLabel->
  "In[234]:=",ExpressionUUID->"b480bdb4-aea4-4095-b875-8b69fc641458"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"testdata2", "=", 
   RowBox[{"Partition", "[", 
    RowBox[{
     RowBox[{"rawdat2", "[", 
      RowBox[{"[", "1", "]"}], "]"}], ",", "2"}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"as2", "=", 
   RowBox[{"rawdat2", "[", 
    RowBox[{"[", "2", "]"}], "]"}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.9481307549726753`*^9, 3.9481308081074133`*^9}, {
  3.948209116877947*^9, 3.948209120380921*^9}},
 CellLabel->
  "In[235]:=",ExpressionUUID->"e6f0b190-e1d7-423d-9ac0-1bea376c509f"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Sin", "[", 
        RowBox[{"2", "\[Pi]", " ", "x"}], "]"}], ",", 
       RowBox[{"as2", ".", 
        RowBox[{"edgeBasis", "[", 
         RowBox[{"Length", "[", "as2", "]"}], "]"}]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "1"}], "}"}], ",", 
     RowBox[{"PlotPoints", "->", "100"}]}], "]"}], ",", 
   RowBox[{"ListPlot", "[", 
    RowBox[{"testdata2", ",", 
     RowBox[{"PlotStyle", "->", "Black"}]}], "]"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.94813081071697*^9, 3.9481308929987507`*^9}, {
  3.948132238910755*^9, 3.9481322401010427`*^9}, {3.948137334422831*^9, 
  3.948137339243318*^9}, {3.948137727243544*^9, 3.948137728458662*^9}, {
  3.9481379459479103`*^9, 3.948137959780064*^9}, {3.948138000630261*^9, 
  3.948138000909213*^9}, {3.9481382718091097`*^9, 3.9481382852840242`*^9}, {
  3.948139799384047*^9, 3.948139819863104*^9}, {3.948174624183724*^9, 
  3.94817463099712*^9}, {3.9481988535912323`*^9, 3.948198857437357*^9}, {
  3.948200761787176*^9, 3.9482007652179623`*^9}, {3.948202784605001*^9, 
  3.948202793420834*^9}, {3.9482037010354137`*^9, 3.9482037274748287`*^9}, {
  3.948208664739813*^9, 3.948208670714889*^9}, {3.948209124044997*^9, 
  3.948209135221654*^9}},
 CellLabel->
  "In[239]:=",ExpressionUUID->"22daee6f-134b-4508-8577-f887ddf00b51"],

Cell[BoxData[
 GraphicsBox[{
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.24, 0.6, 0.8], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ], 
        TagBox[
         {RGBColor[0.95, 0.627, 0.1425], AbsoluteThickness[2], Opacity[1.], 
          LineBox[CompressedData["
1:eJwUW3k41N8XnqRISNpRJEmSrULCsdXXViRJKalkKUmRhKKSLGWvhETWJBSV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           "]]},
         Annotation[#, "Charting`Private`Tag#2"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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               "]]}, "Charting`Private`Tag#1"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwUW3k41N8XnqRISNpRJEmSrULCsdXXViRJKalkKUmRhKKSLGWvhETWJBSV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               "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1}, {-1.0635690452216409`, 
              0.9999999004695188}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.95, 0.627, 0.1425], 
               AbsoluteThickness[2]], 
              Directive[
               Opacity[1.], 
               RGBColor[0.24, 0.6, 0.8], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 1}, {-1.0635690452216409`, 
             0.9999999004695188}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.95, 0.627, 0.1425], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.24, 0.6, 0.8], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               (Identity[#]& )[
                Part[#, 1]], 
               (Identity[#]& )[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwV2Xk8VF8UAHBrka2fIpJQSKhsLZYcayEtIqSUpLQgSrKVylJUUiqllCRC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           "]]}, "Charting`Private`Tag#1"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwUW3k41N8XnqRISNpRJEmSrULCsdXXViRJKalkKUmRhKKSLGWvhETWJBSV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           "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 1}, {-1.0635690452216409`, 0.9999999004695188}}, 
        "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.95, 0.627, 0.1425], 
           AbsoluteThickness[2]], 
          Directive[
           Opacity[1.], 
           RGBColor[0.24, 0.6, 0.8], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            (Identity[#]& )[
             Part[#, 1]], 
            (Identity[#]& )[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]], {{}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
          PointBox[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQMtHTmpekfn2quuX7in7dMq+wmTDyxuqb1kbwLm
77I/oLv3VEfjc/tQ50rep6ZH7KtunnFgkHsDlT9lbz5Zxizy/Bv7cqDslOsX
7BPuti74ePKdfTpY/RV71RcfnhkmvrF3qQQrsPdXWhCQHf3KXgms/5a9r/c8
pYkr7tgLgmQD7tnHLOtmn8RzEGreA/tzn4yPvCk/uz9fA6Thkb3LRTPz4m+X
9seBzX9iv6awMWrqs6f7fcECT+1nnY5cwLbww36Ifc/tW75nXYxe8Ga/MdD0
OOeX9pedzO7/n/lqvzbY/lf2r2e8uXj42/v9UqeygTa8sT98iGlD8d1H+yHu
eWfvqdeUqv7g6n5IaH2wf/2t9v+0tZv2AwBCPagc
          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]], 
              Point[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQMtHTmpekfn2quuX7in7dMq+wmTDyxuqb1kbwLm
77I/oLv3VEfjc/tQ50rep6ZH7KtunnFgkHsDlT9lbz5Zxizy/Bv7cqDslOsX
7BPuti74ePKdfTpY/RV71RcfnhkmvrF3qQQrsPdXWhCQHf3KXgms/5a9r/c8
pYkr7tgLgmQD7tnHLOtmn8RzEGreA/tzn4yPvCk/uz9fA6Thkb3LRTPz4m+X
9seBzX9iv6awMWrqs6f7fcECT+1nnY5cwLbww36Ifc/tW75nXYxe8Ga/MdD0
OOeX9pedzO7/n/lqvzbY/lf2r2e8uXj42/v9UqeygTa8sT98iGlD8d1H+yHu
eWfvqdeUqv7g6n5IaH2wf/2t9v+0tZv2AwBCPagc
               "]]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0, 1.}, {-1.03931296002404, 0.962151349564845}},
              "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
             GoldenRatio^(-1), "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                AbsoluteThickness[2], 
                GrayLevel[0]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 (Identity[#]& )[
                  Part[#, 1]], 
                 (Identity[#]& )[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {
                 Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 1.}, {-1.03931296002404, 0.962151349564845}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               AbsoluteThickness[2], 
               GrayLevel[0]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                (Identity[#]& )[
                 Part[#, 1]], 
                (Identity[#]& )[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           AbsoluteThickness[2], 
           GrayLevel[0]], 
          Point[CompressedData["
1:eJxTTMoPSmViYGAQAWIQDQMtHTmpekfn2quuX7in7dMq+wmTDyxuqb1kbwLm
77I/oLv3VEfjc/tQ50rep6ZH7KtunnFgkHsDlT9lbz5Zxizy/Bv7cqDslOsX
7BPuti74ePKdfTpY/RV71RcfnhkmvrF3qQQrsPdXWhCQHf3KXgms/5a9r/c8
pYkr7tgLgmQD7tnHLOtmn8RzEGreA/tzn4yPvCk/uz9fA6Thkb3LRTPz4m+X
9seBzX9iv6awMWrqs6f7fcECT+1nnY5cwLbww36Ifc/tW75nXYxe8Ga/MdD0
OOeX9pedzO7/n/lqvzbY/lf2r2e8uXj42/v9UqeygTa8sT98iGlD8d1H+yHu
eWfvqdeUqv7g6n5IaH2wf/2t9v+0tZv2AwBCPagc
           "]]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0, 1.}, {-1.03931296002404, 0.962151349564845}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            AbsoluteThickness[2], 
            GrayLevel[0]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             (Identity[#]& )[
              Part[#, 1]], 
             (Identity[#]& )[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {
             Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 1}, {-1.0635690452216409`, 0.9999999004695188}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.948130859956072*^9, 3.948130955099884*^9}, {
   3.948132240485457*^9, 3.948132250365382*^9}, {3.948132417484611*^9, 
   3.9481324376701603`*^9}, 3.94813260750077*^9, {3.948132688345565*^9, 
   3.948132711310553*^9}, 3.9481327881911793`*^9, {3.9481329628023453`*^9, 
   3.94813298206507*^9}, 3.9481331151859083`*^9, 3.948133145872796*^9, 
   3.9481331931940002`*^9, {3.9481332275257883`*^9, 3.948133248903883*^9}, {
   3.948134412219392*^9, 3.948134424786851*^9}, {3.948134704214121*^9, 
   3.9481347225143414`*^9}, 3.9481349678419323`*^9, 3.948135406718172*^9, {
   3.948135659826041*^9, 3.948135691759862*^9}, {3.9481357472695427`*^9, 
   3.948135770136162*^9}, 3.9481358244100657`*^9, 3.948136618752692*^9, 
   3.948137070588904*^9, {3.948137311093301*^9, 3.948137353352693*^9}, 
   3.948137434492918*^9, {3.948137472737005*^9, 3.948137518400502*^9}, 
   3.94813761059442*^9, {3.9481377242665577`*^9, 3.948137728731876*^9}, {
   3.9481377687762547`*^9, 3.948137808158538*^9}, 3.948137839999218*^9, {
   3.948137915198165*^9, 3.948137961831544*^9}, {3.948138010326825*^9, 
   3.9481380852616253`*^9}, {3.948138171771494*^9, 3.948138194121057*^9}, 
   3.9481382402556753`*^9, {3.948138284976859*^9, 3.948138289201264*^9}, 
   3.948138338382262*^9, 3.948138452037212*^9, 3.948138831793432*^9, 
   3.948139774880522*^9, 3.948139820496393*^9, 3.94813985677387*^9, 
   3.948139978928771*^9, 3.948140059803281*^9, {3.948174674816235*^9, 
   3.9481747521108837`*^9}, {3.9481748303781557`*^9, 3.948174848938978*^9}, 
   3.948174890171731*^9, {3.9481966706451263`*^9, 3.948196686422773*^9}, {
   3.948196875236083*^9, 3.948196902019807*^9}, 3.9481969739781933`*^9, 
   3.9481976022397013`*^9, {3.948197800339579*^9, 3.9481978288297443`*^9}, {
   3.9481981796803493`*^9, 3.948198191489132*^9}, 3.9481982842694187`*^9, {
   3.948198363814533*^9, 3.948198377004696*^9}, 3.948198683700901*^9, {
   3.948198849423388*^9, 3.9481988579656677`*^9}, 3.948199156625474*^9, 
   3.948200294200665*^9, {3.948200333776299*^9, 3.9482003592210293`*^9}, 
   3.9482005409998617`*^9, 3.948200612532401*^9, 3.94820077040834*^9, {
   3.948202039827796*^9, 3.948202050853188*^9}, {3.948202160022916*^9, 
   3.948202217691124*^9}, 3.948202534118414*^9, 3.948202566044837*^9, 
   3.9482026765669737`*^9, {3.948202730993918*^9, 3.9482027416889687`*^9}, {
   3.9482027777348948`*^9, 3.948202828596582*^9}, 3.948202901444715*^9, {
   3.948203071508376*^9, 3.948203086602746*^9}, {3.9482031578164377`*^9, 
   3.948203188109548*^9}, 3.94820324138935*^9, 3.9482033583968287`*^9, 
   3.948203692886952*^9, 3.948203727956418*^9, {3.948203800673265*^9, 
   3.948203839248075*^9}, {3.948209127124799*^9, 3.948209135596053*^9}},
 CellLabel->
  "Out[239]=",ExpressionUUID->"d4b981b1-8a57-45b0-a635-08df48bc2861"]
}, Open  ]]
},
WindowSize->{1440, 796.5},
WindowMargins->{{0, Automatic}, {Automatic, 0}},
FrontEndVersion->"14.2 for Linux x86 (64-bit) (December 26, 2024)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"14a32005-7b59-4d87-b0bd-3b9bb1b1dbdc"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[554, 20, 544, 15, 23, "Input",ExpressionUUID->"2bf7a7a4-5fb8-45e5-93d8-d867014a08f2"],
Cell[1101, 37, 971, 22, 23, "Input",ExpressionUUID->"5af352c6-8896-4a1b-b393-d7f34eecf643"],
Cell[2075, 61, 596, 12, 23, "Input",ExpressionUUID->"b6f65d11-1714-42cd-b279-8e2c0eb8fe70"],
Cell[CellGroupData[{
Cell[2696, 77, 710, 16, 57, "Input",ExpressionUUID->"788c910c-c901-4771-95a4-a21a3056ef4d"],
Cell[3409, 95, 1574, 22, 25, "Output",ExpressionUUID->"a5455d1f-2200-4eb8-b7ac-87cfed829af8"]
}, Open  ]],
Cell[CellGroupData[{
Cell[5020, 122, 576, 13, 23, "Input",ExpressionUUID->"cbba3901-f3bc-435c-9c36-ae44b4230e6a"],
Cell[5599, 137, 10272, 233, 150, "Output",ExpressionUUID->"78929829-92ad-4661-b73b-c0d85ddb98cb"]
}, Open  ]],
Cell[CellGroupData[{
Cell[15908, 375, 728, 18, 23, "Input",ExpressionUUID->"28259c60-740d-4dce-ab83-46e9aa5aaa2d"],
Cell[16639, 395, 36941, 651, 150, "Output",ExpressionUUID->"8e055139-6bd8-4751-84b0-d76ee0bd2474"]
}, Open  ]],
Cell[CellGroupData[{
Cell[53617, 1051, 1011, 24, 23, "Input",ExpressionUUID->"93081125-f7f5-4ec1-8522-2663d9863e0b"],
Cell[54631, 1077, 45693, 819, 150, "Output",ExpressionUUID->"6aba4807-4f56-4e4c-91f9-44245b663beb"]
}, Open  ]],
Cell[CellGroupData[{
Cell[100361, 1901, 666, 16, 23, "Input",ExpressionUUID->"28c5ddb2-5548-4f43-9824-c5195899a516"],
Cell[101030, 1919, 146040, 2516, 150, "Output",ExpressionUUID->"bd7062d2-2ab1-4ceb-a4ac-bd6a0bb3c342"]
}, Open  ]],
Cell[CellGroupData[{
Cell[247107, 4440, 1305, 33, 23, "Input",ExpressionUUID->"64b9d7b0-4d42-4971-a779-d26a172dddb6"],
Cell[248415, 4475, 22662, 433, 102, "Output",ExpressionUUID->"076474d4-f1aa-4668-a0f1-b95f7dd8be21"]
}, Open  ]],
Cell[CellGroupData[{
Cell[271114, 4913, 1320, 33, 23, "Input",ExpressionUUID->"6320da01-8775-4d5d-a006-6ebc2cd45cdf"],
Cell[272437, 4948, 44278, 787, 102, "Output",ExpressionUUID->"fe02788d-4433-4cdf-9696-f7c15350355e"]
}, Open  ]],
Cell[CellGroupData[{
Cell[316752, 5740, 974, 26, 23, "Input",ExpressionUUID->"8d4e6581-f6b8-48df-a676-75ca341189cb"],
Cell[317729, 5768, 68968, 1224, 104, "Output",ExpressionUUID->"e068285f-6324-4bb0-9a30-479c6b4173d2"]
}, Open  ]],
Cell[CellGroupData[{
Cell[386734, 6997, 278, 6, 23, "Input",ExpressionUUID->"40855202-d9c2-46f6-ae45-c3c37ee795d0"],
Cell[387015, 7005, 174, 2, 25, "Output",ExpressionUUID->"a961f55f-4340-44b4-8a5e-96fef706b7c0"]
}, Open  ]],
Cell[CellGroupData[{
Cell[387226, 7012, 1049, 28, 23, "Input",ExpressionUUID->"af4110b9-8b7d-44d5-a091-88eb1c487999"],
Cell[388278, 7042, 145116, 2452, 102, "Output",ExpressionUUID->"eaa9a4dd-4bdb-4a04-9840-d5957524e949"]
}, Open  ]],
Cell[CellGroupData[{
Cell[533431, 9499, 1555, 38, 45, "Input",ExpressionUUID->"f6f545cf-927d-43c1-af6d-713c7a209a9d"],
Cell[534989, 9539, 14508, 338, 133, "Output",ExpressionUUID->"97c48afc-a508-455f-a069-6e9a7516ab1b"]
}, Open  ]],
Cell[CellGroupData[{
Cell[549534, 9882, 1023, 26, 23, "Input",ExpressionUUID->"bbf26ddc-fe38-479d-a3c9-6d8e7eb05a56"],
Cell[550560, 9910, 79640, 1394, 171, "Output",ExpressionUUID->"259cf64a-f845-402c-9036-7198c08c5ee1"]
}, Open  ]],
Cell[CellGroupData[{
Cell[630237, 11309, 812, 23, 23, "Input",ExpressionUUID->"ee92f7cf-efbe-4a88-99e0-b631a8475400"],
Cell[631052, 11334, 187767, 3242, 176, "Output",ExpressionUUID->"3e3e6643-166f-47a6-a8d0-c67de6c2e4be"]
}, Open  ]],
Cell[CellGroupData[{
Cell[818856, 14581, 887, 27, 45, "Input",ExpressionUUID->"0e06d7b5-aef2-4721-9794-4d08e86b51b0"],
Cell[819746, 14610, 264, 6, 26, "Output",ExpressionUUID->"d9e07b9d-4c99-4596-8430-98b40a9824db"]
}, Open  ]],
Cell[CellGroupData[{
Cell[820047, 14621, 2799, 77, 73, "Input",ExpressionUUID->"7c9d6eb3-c96d-4f11-913b-3d4f12b217fa"],
Cell[822849, 14700, 20203, 434, 133, "Output",ExpressionUUID->"1cb0d51f-f5b2-4f14-a301-4582947dec07"]
}, Open  ]],
Cell[CellGroupData[{
Cell[843089, 15139, 650, 17, 23, "Input",ExpressionUUID->"9112ed8c-b092-4553-8c70-b3cf97baaf69"],
Cell[843742, 15158, 48762, 871, 171, "Output",ExpressionUUID->"128a43ca-5a2f-4258-a468-df2dc1caa86b"]
}, Open  ]],
Cell[CellGroupData[{
Cell[892541, 16034, 1166, 30, 23, "Input",ExpressionUUID->"048b0258-5171-4ae8-971c-7cda8b5e5a39"],
Cell[893710, 16066, 113415, 1937, 171, "Output",ExpressionUUID->"e4b6b211-4660-48b8-8c93-495e75216299"]
}, Open  ]],
Cell[CellGroupData[{
Cell[1007162, 18008, 1072, 27, 23, "Input",ExpressionUUID->"644bc450-35b3-4346-a518-939a37f73a1e"],
Cell[1008237, 18037, 64148, 1138, 171, "Output",ExpressionUUID->"f13c5692-112d-4db3-b926-5a0e63510020"]
}, Open  ]],
Cell[CellGroupData[{
Cell[1072422, 19180, 879, 24, 23, "Input",ExpressionUUID->"77011a3f-25f7-4ebc-8867-077913d64174"],
Cell[1073304, 19206, 43162, 781, 171, "Output",ExpressionUUID->"82a5d709-d14e-409d-9dc3-a3709bead9b5"]
}, Open  ]],
Cell[CellGroupData[{
Cell[1116503, 19992, 887, 27, 45, "Input",ExpressionUUID->"ce01a5ff-e386-49cd-932e-f969de5ec286"],
Cell[1117393, 20021, 306, 7, 26, "Output",ExpressionUUID->"2b9abaf1-daa3-4fd3-8c60-190b388e81e3"]
}, Open  ]],
Cell[CellGroupData[{
Cell[1117736, 20033, 1808, 44, 45, "Input",ExpressionUUID->"defda054-10ca-447b-b647-94d42a909770"],
Cell[1119547, 20079, 11393, 253, 179, "Output",ExpressionUUID->"890b6588-ab8c-4d16-ae4b-440a9b9a42e2"]
}, Open  ]],
Cell[1130955, 20335, 2457, 48, 176, "Input",ExpressionUUID->"89df9a87-bbde-4eed-acbd-026f71c05d25"],
Cell[CellGroupData[{
Cell[1133437, 20387, 1434, 30, 23, "Input",ExpressionUUID->"f1af494d-9d96-4899-b3af-8673ddf60d9f"],
Cell[1134874, 20419, 122458, 2096, 179, "Output",ExpressionUUID->"958a8029-3a5b-4cb5-8c98-6c2d8a901d8d"]
}, Open  ]],
Cell[CellGroupData[{
Cell[1257369, 22520, 744, 20, 23, "Input",ExpressionUUID->"28a73a8c-aea0-47e2-b622-44374c6b6c73"],
Cell[1258116, 22542, 144539, 2459, 171, "Output",ExpressionUUID->"de41f093-c137-461b-9d53-da822c3f3f15"]
}, Open  ]],
Cell[1402670, 25004, 602, 13, 23, "Input",ExpressionUUID->"b480bdb4-aea4-4095-b875-8b69fc641458"],
Cell[1403275, 25019, 535, 14, 40, "Input",ExpressionUUID->"e6f0b190-e1d7-423d-9ac0-1bea376c509f"],
Cell[CellGroupData[{
Cell[1403835, 25037, 1435, 30, 23, "Input",ExpressionUUID->"22daee6f-134b-4508-8577-f887ddf00b51"],
Cell[1405273, 25069, 119073, 2033, 171, "Output",ExpressionUUID->"d4b981b1-8a57-45b0-a635-08df48bc2861"]
}, Open  ]]
}
]
*)