#n= 1000 k= 14 p= 0.5
#sigma: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
#sample size array: [10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200]
learned_dic: {1: 0, 2: 1, 3: 0, 4: 3, 5: 3, 6: 3, 7: 5, 8: 7, 9: 8, 10: 7, 11: 10, 12: 11, 13: 11, 14: 13, 24: 25, 33: 21, 43: 23, 85: 18, 90: 19, 99: 22, 125: 21, 126: 22, 132: 28, 149: 25, 151: 18, 153: 22, 159: 22, 166: 24, 168: 22, 174: 19, 175: 24, 181: 19, 182: 24, 198: 22, 204: 23, 231: 18, 244: 26, 250: 20, 251: 22, 263: 26, 278: 20, 282: 17, 283: 22, 286: 21, 298: 24, 301: 24, 302: 19, 313: 23, 320: 21, 323: 19, 324: 22, 336: 19, 339: 23, 368: 25, 386: 25, 387: 25, 388: 26, 397: 22, 402: 19, 405: 22, 412: 23, 418: 26, 430: 22, 441: 22, 447: 30, 472: 20, 484: 23, 490: 27, 494: 24, 503: 22, 521: 23, 522: 25, 523: 28, 525: 20, 530: 21, 537: 21, 538: 23, 552: 20, 557: 21, 580: 24, 601: 27, 606: 21, 611: 21, 632: 24, 637: 24, 645: 17, 650: 25, 669: 26, 671: 23, 690: 25, 694: 24, 702: 25, 706: 20, 711: 21, 712: 25, 722: 22, 737: 20, 748: 21, 751: 22, 758: 23, 765: 20, 769: 24, 778: 28, 786: 23, 789: 18, 807: 24, 827: 20, 841: 23, 842: 21, 857: 20, 868: 19, 873: 23, 876: 23, 878: 20, 884: 24, 891: 21, 908: 23, 909: 23, 911: 29, 925: 19, 936: 23, 940: 25, 956: 19, 972: 25, 976: 20, 979: 23, 989: 19, 994: 24, 998: 20}
learned_list: [1, 3, 2, 4, 5, 6, 7, 8, 10, 9, 11, 12, 13, 14, 282, 645, 85, 151, 231, 789, 90, 174, 181, 302, 323, 336, 402, 868, 925, 956, 989, 250, 278, 472, 525, 552, 706, 737, 765, 827, 857, 878, 976, 998, 33, 125, 286, 320, 530, 537, 557, 606, 611, 711, 748, 842, 891, 99, 126, 153, 159, 168, 198, 251, 283, 324, 397, 405, 430, 441, 503, 722, 751, 43, 204, 313, 339, 412, 484, 521, 538, 671, 758, 786, 841, 873, 876, 908, 909, 936, 979, 166, 175, 182, 298, 301, 494, 580, 632, 637, 694, 769, 807, 884, 994, 24, 149, 368, 386, 387, 522, 650, 690, 702, 712, 940, 972, 244, 263, 388, 418, 669, 490, 601, 132, 523, 778, 911, 447]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 4, 7: 4, 8: 7, 9: 7, 10: 9, 11: 9, 12: 10, 13: 12, 14: 12, 18: 23, 19: 25, 24: 25, 28: 28, 32: 26, 52: 21, 55: 24, 56: 25, 70: 23, 85: 25, 109: 21, 120: 20, 127: 23, 128: 25, 129: 21, 147: 21, 158: 23, 159: 22, 161: 18, 167: 20, 168: 18, 175: 22, 181: 21, 197: 23, 208: 23, 215: 25, 232: 22, 233: 26, 240: 23, 244: 20, 248: 21, 263: 25, 264: 18, 265: 25, 280: 23, 285: 22, 304: 25, 314: 20, 325: 19, 327: 29, 330: 22, 344: 22, 359: 26, 367: 26, 368: 25, 407: 23, 408: 22, 416: 23, 417: 23, 421: 28, 432: 19, 438: 24, 443: 20, 445: 21, 453: 26, 467: 20, 471: 21, 476: 23, 479: 22, 497: 17, 505: 28, 526: 23, 529: 23, 540: 24, 543: 28, 552: 24, 553: 19, 559: 25, 561: 22, 580: 19, 585: 23, 596: 28, 610: 17, 613: 17, 614: 19, 617: 19, 631: 22, 632: 21, 635: 23, 665: 23, 669: 15, 675: 23, 676: 22, 693: 24, 694: 21, 700: 24, 706: 25, 724: 19, 737: 26, 759: 28, 772: 25, 785: 25, 798: 20, 800: 20, 824: 25, 825: 23, 827: 23, 829: 27, 837: 29, 841: 23, 852: 23, 856: 23, 858: 21, 863: 28, 866: 22, 868: 26, 879: 21, 880: 21, 896: 24, 898: 20, 905: 24, 914: 21, 924: 17, 925: 22, 930: 29, 936: 16, 939: 20, 969: 23, 976: 21, 981: 19, 984: 26, 989: 28, 992: 19}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 669, 936, 497, 610, 613, 924, 161, 168, 264, 325, 432, 553, 580, 614, 617, 724, 981, 992, 120, 167, 244, 314, 443, 467, 798, 800, 898, 939, 52, 109, 129, 147, 181, 248, 445, 471, 632, 694, 858, 879, 880, 914, 976, 159, 175, 232, 285, 330, 344, 408, 479, 561, 631, 676, 866, 925, 18, 70, 127, 158, 197, 208, 240, 280, 407, 416, 417, 476, 526, 529, 585, 635, 665, 675, 825, 827, 841, 852, 856, 969, 55, 438, 540, 552, 693, 700, 896, 905, 19, 24, 56, 85, 128, 215, 263, 265, 304, 368, 559, 706, 772, 785, 824, 32, 233, 359, 367, 453, 737, 868, 984, 829, 28, 421, 505, 543, 596, 759, 863, 989, 327, 837, 930]
learned_dic: {1: 0, 2: 0, 3: 1, 4: 3, 5: 4, 6: 5, 7: 6, 8: 3, 9: 7, 10: 9, 11: 9, 12: 11, 13: 11, 14: 12, 27: 19, 36: 20, 39: 23, 47: 25, 65: 25, 67: 21, 88: 22, 93: 23, 111: 19, 112: 18, 127: 19, 149: 22, 159: 21, 164: 17, 165: 24, 191: 23, 206: 22, 241: 20, 263: 18, 289: 21, 302: 19, 306: 27, 315: 20, 333: 19, 342: 28, 366: 22, 384: 21, 387: 21, 400: 26, 402: 24, 404: 23, 422: 20, 423: 20, 429: 19, 457: 22, 464: 22, 467: 24, 472: 24, 476: 20, 482: 22, 502: 20, 508: 26, 524: 21, 525: 16, 530: 22, 541: 23, 545: 24, 546: 17, 556: 18, 558: 23, 563: 19, 568: 25, 570: 26, 574: 24, 576: 23, 579: 27, 593: 24, 595: 26, 602: 20, 605: 25, 613: 22, 620: 19, 643: 26, 646: 23, 654: 19, 674: 23, 676: 23, 680: 24, 681: 19, 687: 20, 693: 20, 696: 22, 709: 23, 712: 17, 728: 22, 734: 22, 738: 22, 746: 26, 753: 18, 758: 23, 770: 19, 777: 21, 778: 22, 799: 22, 819: 26, 835: 17, 841: 18, 845: 23, 862: 24, 868: 20, 876: 28, 879: 24, 886: 21, 894: 22, 913: 21, 918: 21, 932: 25, 947: 23, 955: 19, 962: 21, 963: 24, 964: 19, 967: 23, 969: 25, 983: 19, 985: 24}
learned_list: [1, 2, 3, 4, 8, 5, 6, 7, 9, 10, 11, 12, 13, 14, 525, 164, 546, 712, 835, 112, 263, 556, 753, 841, 27, 111, 127, 302, 333, 429, 563, 620, 654, 681, 770, 955, 964, 983, 36, 241, 315, 422, 423, 476, 502, 602, 687, 693, 868, 67, 159, 289, 384, 387, 524, 777, 886, 913, 918, 962, 88, 149, 206, 366, 457, 464, 482, 530, 613, 696, 728, 734, 738, 778, 799, 894, 39, 93, 191, 404, 541, 558, 576, 646, 674, 676, 709, 758, 845, 947, 967, 165, 402, 467, 472, 545, 574, 593, 680, 862, 879, 963, 985, 47, 65, 568, 605, 932, 969, 400, 508, 570, 595, 643, 746, 819, 306, 579, 342, 876]
learned_dic: {1: 0, 2: 1, 3: 0, 4: 3, 5: 4, 6: 4, 7: 4, 8: 7, 9: 8, 10: 8, 11: 8, 12: 8, 13: 12, 14: 13, 32: 25, 35: 20, 39: 22, 53: 21, 75: 23, 77: 19, 96: 24, 99: 27, 100: 22, 107: 22, 114: 26, 133: 23, 136: 20, 140: 30, 144: 24, 153: 25, 157: 27, 160: 21, 175: 19, 180: 26, 186: 24, 190: 28, 205: 27, 216: 25, 220: 21, 221: 23, 222: 24, 238: 21, 242: 25, 245: 21, 248: 26, 251: 22, 253: 23, 254: 25, 256: 22, 263: 22, 297: 21, 312: 22, 314: 20, 327: 20, 330: 21, 340: 29, 343: 18, 345: 29, 350: 15, 375: 23, 380: 22, 382: 21, 384: 26, 385: 26, 387: 24, 400: 22, 409: 19, 432: 19, 459: 20, 476: 20, 484: 25, 497: 27, 517: 22, 523: 23, 525: 25, 535: 23, 549: 25, 554: 23, 555: 19, 557: 23, 569: 27, 580: 23, 592: 23, 593: 23, 595: 21, 602: 21, 603: 27, 618: 22, 624: 22, 629: 20, 630: 24, 632: 22, 635: 23, 639: 24, 653: 23, 656: 26, 675: 21, 683: 20, 685: 22, 698: 27, 702: 24, 708: 24, 728: 21, 729: 19, 732: 24, 734: 23, 739: 28, 748: 24, 753: 18, 755: 22, 761: 26, 772: 24, 773: 29, 774: 20, 778: 21, 782: 25, 802: 28, 803: 25, 824: 19, 829: 24, 832: 26, 842: 17, 844: 24, 845: 28, 864: 23, 866: 17, 867: 24, 880: 26, 885: 20, 886: 22, 893: 24, 902: 29, 905: 22, 907: 22, 924: 23, 936: 18, 937: 23, 941: 28, 948: 21, 949: 25, 959: 22, 971: 27, 978: 21, 992: 31, 1000: 25}
learned_list: [1, 3, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 350, 842, 866, 343, 753, 936, 77, 175, 409, 432, 555, 729, 824, 35, 136, 314, 327, 459, 476, 629, 683, 774, 885, 53, 160, 220, 238, 245, 297, 330, 382, 595, 602, 675, 728, 778, 948, 978, 39, 100, 107, 251, 256, 263, 312, 380, 400, 517, 618, 624, 632, 685, 755, 886, 905, 907, 959, 75, 133, 221, 253, 375, 523, 535, 554, 557, 580, 592, 593, 635, 653, 734, 864, 924, 937, 96, 144, 186, 222, 387, 630, 639, 702, 708, 732, 748, 772, 829, 844, 867, 893, 32, 153, 216, 242, 254, 484, 525, 549, 782, 803, 949, 1000, 114, 180, 248, 384, 385, 656, 761, 832, 880, 99, 157, 205, 497, 569, 603, 698, 971, 190, 739, 802, 845, 941, 340, 345, 773, 902, 140, 992]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 5, 6: 3, 7: 3, 8: 7, 9: 7, 10: 9, 11: 8, 12: 11, 13: 11, 14: 11, 21: 20, 44: 21, 54: 22, 55: 21, 69: 21, 80: 20, 82: 18, 84: 23, 101: 23, 106: 22, 115: 23, 120: 24, 141: 26, 161: 27, 165: 25, 172: 24, 178: 22, 179: 21, 183: 23, 194: 16, 204: 21, 214: 25, 219: 26, 229: 20, 238: 23, 251: 19, 275: 23, 279: 25, 280: 23, 285: 27, 293: 23, 295: 21, 322: 23, 328: 21, 331: 27, 332: 17, 344: 22, 351: 20, 367: 23, 372: 22, 374: 25, 377: 23, 405: 20, 417: 23, 418: 25, 445: 23, 452: 26, 457: 22, 461: 21, 468: 20, 472: 24, 482: 21, 485: 19, 489: 25, 514: 18, 519: 22, 522: 25, 531: 26, 540: 22, 541: 20, 543: 30, 547: 22, 548: 18, 564: 19, 572: 19, 579: 22, 587: 24, 591: 24, 608: 31, 618: 23, 637: 26, 639: 23, 654: 24, 658: 27, 677: 24, 686: 24, 687: 22, 692: 19, 698: 23, 704: 21, 708: 23, 715: 24, 717: 20, 724: 19, 728: 17, 731: 23, 736: 18, 745: 17, 753: 19, 758: 20, 761: 25, 764: 21, 769: 24, 781: 21, 782: 23, 804: 24, 810: 22, 816: 20, 826: 19, 833: 23, 873: 23, 876: 19, 892: 20, 895: 21, 903: 26, 917: 20, 921: 22, 923: 21, 938: 21, 940: 21, 967: 26, 972: 24, 986: 24, 997: 22, 1000: 18}
learned_list: [1, 2, 3, 4, 6, 7, 5, 8, 9, 11, 10, 12, 13, 14, 194, 332, 728, 745, 82, 514, 548, 736, 1000, 251, 485, 564, 572, 692, 724, 753, 826, 876, 21, 80, 229, 351, 405, 468, 541, 717, 758, 816, 892, 917, 44, 55, 69, 179, 204, 295, 328, 461, 482, 704, 764, 781, 895, 923, 938, 940, 54, 106, 178, 344, 372, 457, 519, 540, 547, 579, 687, 810, 921, 997, 84, 101, 115, 183, 238, 275, 280, 293, 322, 367, 377, 417, 445, 618, 639, 698, 708, 731, 782, 833, 873, 120, 172, 472, 587, 591, 654, 677, 686, 715, 769, 804, 972, 986, 165, 214, 279, 374, 418, 489, 522, 761, 141, 219, 452, 531, 637, 903, 967, 161, 285, 331, 658, 543, 608]
learned_dic: {1: 0, 2: 2, 3: 1, 4: 1, 5: 2, 6: 5, 7: 5, 8: 8, 9: 5, 10: 7, 11: 10, 12: 10, 13: 10, 14: 13, 21: 22, 30: 18, 35: 25, 37: 21, 45: 22, 47: 23, 54: 19, 55: 22, 87: 21, 92: 23, 93: 25, 94: 26, 110: 21, 113: 25, 116: 23, 122: 23, 125: 26, 129: 22, 143: 19, 161: 21, 168: 28, 190: 25, 200: 26, 207: 20, 216: 19, 217: 25, 220: 22, 228: 24, 230: 23, 239: 29, 252: 28, 260: 22, 268: 25, 275: 23, 281: 20, 289: 26, 298: 21, 332: 17, 368: 32, 369: 25, 375: 25, 378: 21, 387: 22, 389: 22, 396: 17, 399: 31, 402: 23, 409: 26, 427: 19, 433: 23, 439: 19, 456: 18, 461: 22, 485: 24, 491: 21, 502: 24, 511: 20, 512: 21, 514: 28, 522: 22, 524: 23, 526: 20, 542: 20, 562: 27, 580: 29, 584: 26, 585: 20, 596: 22, 598: 20, 599: 25, 600: 23, 606: 21, 613: 19, 619: 21, 628: 25, 629: 27, 664: 25, 678: 23, 679: 24, 682: 24, 691: 24, 698: 21, 707: 22, 708: 25, 718: 21, 723: 25, 726: 24, 734: 26, 742: 21, 746: 26, 766: 24, 781: 21, 784: 18, 785: 17, 806: 22, 810: 28, 811: 18, 812: 22, 815: 25, 825: 20, 830: 22, 836: 23, 843: 24, 844: 19, 856: 21, 861: 22, 877: 20, 893: 21, 897: 20, 921: 24, 936: 25, 937: 24, 948: 24, 971: 22, 974: 20, 978: 18, 988: 19}
learned_list: [1, 3, 4, 2, 5, 6, 7, 9, 10, 8, 11, 12, 13, 14, 332, 396, 785, 30, 456, 784, 811, 978, 54, 143, 216, 427, 439, 613, 844, 988, 207, 281, 511, 526, 542, 585, 598, 825, 877, 897, 974, 37, 87, 110, 161, 298, 378, 491, 512, 606, 619, 698, 718, 742, 781, 856, 893, 21, 45, 55, 129, 220, 260, 387, 389, 461, 522, 596, 707, 806, 812, 830, 861, 971, 47, 92, 116, 122, 230, 275, 402, 433, 524, 600, 678, 836, 228, 485, 502, 679, 682, 691, 726, 766, 843, 921, 937, 948, 35, 93, 113, 190, 217, 268, 369, 375, 599, 628, 664, 708, 723, 815, 936, 94, 125, 200, 289, 409, 584, 734, 746, 562, 629, 168, 252, 514, 810, 239, 580, 399, 368]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 7, 10: 9, 11: 10, 12: 11, 13: 11, 14: 12, 26: 22, 33: 26, 46: 17, 47: 20, 48: 21, 51: 22, 56: 22, 65: 25, 74: 29, 80: 25, 81: 23, 94: 20, 99: 28, 101: 26, 106: 19, 107: 23, 131: 24, 133: 25, 154: 28, 159: 27, 164: 16, 170: 22, 172: 25, 178: 23, 182: 31, 194: 29, 204: 23, 224: 22, 228: 21, 235: 24, 251: 21, 256: 19, 263: 23, 269: 21, 290: 23, 292: 27, 297: 26, 318: 18, 335: 25, 342: 24, 343: 24, 350: 25, 357: 23, 360: 21, 368: 20, 382: 27, 401: 26, 403: 25, 410: 27, 418: 24, 429: 30, 434: 15, 442: 21, 443: 22, 447: 22, 449: 19, 457: 24, 459: 23, 461: 25, 509: 18, 511: 26, 519: 18, 523: 26, 524: 21, 536: 24, 540: 25, 541: 25, 543: 30, 547: 22, 548: 25, 549: 23, 558: 22, 561: 23, 568: 22, 580: 20, 582: 21, 584: 17, 594: 23, 597: 22, 605: 20, 617: 23, 620: 20, 638: 21, 640: 22, 671: 21, 679: 24, 695: 23, 703: 21, 706: 23, 731: 20, 744: 18, 754: 24, 756: 23, 759: 24, 766: 20, 770: 25, 775: 21, 777: 24, 783: 24, 795: 24, 801: 25, 812: 24, 819: 26, 836: 23, 837: 21, 843: 19, 848: 23, 849: 16, 860: 22, 862: 21, 873: 22, 877: 22, 892: 25, 908: 23, 915: 19, 930: 23, 937: 25, 944: 26, 949: 18, 962: 17, 964: 24}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 434, 164, 849, 46, 584, 962, 318, 509, 519, 744, 949, 106, 256, 449, 843, 915, 47, 94, 368, 580, 605, 620, 731, 766, 48, 228, 251, 269, 360, 442, 524, 582, 638, 671, 703, 775, 837, 862, 26, 51, 56, 170, 224, 443, 447, 547, 558, 568, 597, 640, 860, 873, 877, 81, 107, 178, 204, 263, 290, 357, 459, 549, 561, 594, 617, 695, 706, 756, 836, 848, 908, 930, 131, 235, 342, 343, 418, 457, 536, 679, 754, 759, 777, 783, 795, 812, 964, 65, 80, 133, 172, 335, 350, 403, 461, 540, 541, 548, 770, 801, 892, 937, 33, 101, 297, 401, 511, 523, 819, 944, 159, 292, 382, 410, 99, 154, 74, 194, 429, 543, 182]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 5, 6: 1, 7: 5, 8: 7, 9: 8, 10: 10, 11: 9, 12: 10, 13: 10, 14: 12, 16: 22, 31: 22, 32: 27, 35: 25, 37: 27, 55: 22, 63: 25, 69: 20, 72: 22, 76: 25, 77: 26, 83: 20, 98: 22, 112: 22, 113: 18, 121: 21, 124: 22, 128: 21, 135: 24, 136: 20, 147: 21, 152: 30, 154: 21, 157: 25, 172: 21, 182: 23, 213: 24, 220: 21, 229: 21, 234: 24, 236: 25, 247: 20, 255: 20, 260: 19, 262: 24, 263: 22, 264: 20, 266: 22, 273: 28, 274: 30, 277: 19, 291: 24, 301: 23, 318: 23, 346: 19, 347: 18, 359: 28, 384: 18, 387: 27, 388: 25, 403: 26, 415: 25, 417: 28, 419: 21, 421: 24, 422: 21, 426: 26, 432: 17, 446: 18, 450: 21, 451: 23, 455: 25, 460: 20, 462: 25, 471: 24, 485: 26, 486: 22, 497: 27, 507: 15, 512: 24, 514: 25, 522: 20, 536: 19, 555: 26, 565: 22, 570: 23, 576: 21, 581: 21, 586: 22, 589: 15, 597: 21, 615: 24, 626: 20, 627: 19, 646: 24, 647: 22, 654: 21, 663: 21, 676: 25, 710: 20, 724: 27, 725: 19, 726: 18, 734: 20, 739: 19, 783: 19, 797: 25, 800: 19, 802: 24, 817: 22, 835: 28, 857: 23, 858: 18, 872: 21, 911: 24, 915: 19, 924: 21, 930: 25, 937: 23, 954: 19, 956: 22, 961: 23, 964: 26, 968: 24, 969: 22, 973: 26, 985: 25, 986: 18, 990: 22}
learned_list: [1, 2, 6, 3, 4, 5, 7, 8, 9, 11, 10, 12, 13, 14, 507, 589, 432, 113, 347, 384, 446, 726, 858, 986, 260, 277, 346, 536, 627, 725, 739, 783, 800, 915, 954, 69, 83, 136, 247, 255, 264, 460, 522, 626, 710, 734, 121, 128, 147, 154, 172, 220, 229, 419, 422, 450, 576, 581, 597, 654, 663, 872, 924, 16, 31, 55, 72, 98, 112, 124, 263, 266, 486, 565, 586, 647, 817, 956, 969, 990, 182, 301, 318, 451, 570, 857, 937, 961, 135, 213, 234, 262, 291, 421, 471, 512, 615, 646, 802, 911, 968, 35, 63, 76, 157, 236, 388, 415, 455, 462, 514, 676, 797, 930, 985, 77, 403, 426, 485, 555, 964, 973, 32, 37, 387, 497, 724, 273, 359, 417, 835, 152, 274]
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learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 4, 7: 6, 8: 6, 9: 8, 10: 9, 11: 9, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 7, 10: 9, 11: 10, 12: 11, 13: 11, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 5, 8: 7, 9: 7, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9, 11: 9, 12: 10, 13: 12, 14: 12}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9, 11: 10, 12: 11, 13: 11, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 7, 9: 7, 10: 9, 11: 9, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 7, 10: 9, 11: 9, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9, 11: 9, 12: 11, 13: 11, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
#beta =  0.4 

#mean of distances:
 Ld= [np.float64(3758.1), np.float64(1292.85), np.float64(167.7), np.float64(70.4), np.float64(12.75), np.float64(8.5), np.float64(3.25), np.float64(4.05), np.float64(3.1), np.float64(3.5), np.float64(3.6), np.float64(3.3), np.float64(3.1), np.float64(3.5), np.float64(3.1)] 

#variance of distances:
 Lv= [np.float64(845.7177070394116), np.float64(263.7195527449567), np.float64(57.684139934647554), np.float64(35.845362322063366), np.float64(4.473533279187716), np.float64(3.4641016151377544), np.float64(1.1236102527122116), np.float64(1.2338962679253065), np.float64(0.8306623862918074), np.float64(0.6708203932499369), np.float64(0.66332495807108), np.float64(1.1874342087037917), np.float64(1.1357816691600546), np.float64(0.806225774829855), np.float64(0.5385164807134505)] 

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learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 841: 14}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 841]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 12}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 7, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
#beta =  0.6000000000000001 

#mean of distances:
 Ld= [np.float64(4242.85), np.float64(1455.4), np.float64(154.15), np.float64(64.85), np.float64(8.25), np.float64(4.05), np.float64(1.15), np.float64(0.6), np.float64(0.4), np.float64(0.35), np.float64(0.65), np.float64(0.2), np.float64(0.1), np.float64(0.5), np.float64(0.1)] 

#variance of distances:
 Lv= [np.float64(582.2739497006543), np.float64(271.423359348454), np.float64(58.83623458380048), np.float64(28.758520476547467), np.float64(7.704706353911225), np.float64(3.764638096816213), np.float64(1.5008331019803633), np.float64(0.8), np.float64(0.48989794855663565), np.float64(0.5499999999999999), np.float64(0.634428877022476), np.float64(0.4000000000000001), np.float64(0.30000000000000004), np.float64(0.6708203932499369), np.float64(0.30000000000000004)] 

learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 16: 25, 18: 21, 24: 27, 25: 24, 26: 25, 43: 25, 54: 30, 58: 26, 59: 27, 66: 26, 78: 23, 81: 22, 93: 23, 97: 26, 98: 22, 110: 18, 118: 21, 123: 24, 129: 20, 135: 29, 146: 26, 148: 18, 152: 19, 170: 25, 188: 20, 190: 22, 194: 22, 223: 26, 234: 23, 243: 27, 247: 19, 252: 26, 255: 26, 256: 28, 258: 24, 259: 22, 267: 23, 271: 27, 272: 23, 273: 24, 285: 28, 287: 26, 299: 18, 303: 27, 306: 26, 314: 19, 344: 21, 353: 21, 363: 26, 367: 24, 369: 27, 376: 20, 377: 24, 381: 27, 387: 26, 391: 19, 395: 25, 420: 25, 423: 27, 426: 25, 431: 28, 437: 28, 447: 23, 454: 21, 465: 21, 482: 24, 484: 26, 505: 25, 506: 22, 510: 26, 519: 23, 524: 18, 537: 24, 545: 26, 548: 17, 551: 24, 553: 27, 564: 26, 591: 22, 605: 26, 617: 22, 622: 23, 646: 27, 650: 22, 671: 27, 679: 23, 682: 25, 692: 27, 695: 22, 696: 27, 704: 23, 708: 20, 712: 19, 730: 20, 741: 21, 750: 24, 761: 19, 764: 22, 770: 23, 778: 27, 781: 22, 782: 22, 783: 19, 789: 25, 802: 23, 808: 29, 816: 23, 817: 21, 818: 30, 819: 20, 824: 22, 827: 19, 839: 21, 844: 23, 853: 21, 889: 29, 892: 24, 894: 20, 897: 19, 932: 29, 933: 23, 936: 25, 939: 21, 941: 30, 942: 24, 943: 27, 962: 19, 966: 29, 967: 19, 969: 29, 970: 21, 987: 23, 993: 25, 994: 19, 999: 24}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 548, 110, 148, 299, 524, 152, 247, 314, 391, 712, 761, 783, 827, 897, 962, 967, 994, 129, 188, 376, 708, 730, 819, 894, 18, 118, 344, 353, 454, 465, 741, 817, 839, 853, 939, 970, 81, 98, 190, 194, 259, 506, 591, 617, 650, 695, 764, 781, 782, 824, 78, 93, 234, 267, 272, 447, 519, 622, 679, 704, 770, 802, 816, 844, 933, 987, 25, 123, 258, 273, 367, 377, 482, 537, 551, 750, 892, 942, 999, 16, 26, 43, 170, 395, 420, 426, 505, 682, 789, 936, 993, 58, 66, 97, 146, 223, 252, 255, 287, 306, 363, 387, 484, 510, 545, 564, 605, 24, 59, 243, 271, 303, 369, 381, 423, 553, 646, 671, 692, 696, 778, 943, 256, 285, 431, 437, 135, 808, 889, 932, 966, 969, 54, 818, 941]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 8, 11: 10, 12: 10, 13: 12, 14: 13, 28: 22, 29: 24, 49: 23, 61: 21, 62: 23, 64: 30, 66: 21, 94: 26, 98: 20, 99: 23, 102: 24, 109: 25, 115: 25, 119: 22, 138: 24, 151: 23, 156: 22, 158: 21, 162: 21, 163: 23, 164: 19, 213: 25, 216: 20, 222: 19, 224: 20, 234: 26, 240: 23, 250: 18, 257: 26, 258: 21, 279: 19, 281: 23, 285: 22, 287: 23, 288: 28, 292: 21, 307: 22, 311: 19, 313: 24, 330: 28, 360: 18, 363: 27, 370: 18, 404: 16, 409: 24, 413: 26, 423: 19, 425: 23, 433: 23, 438: 25, 441: 24, 447: 28, 449: 23, 450: 18, 465: 25, 468: 22, 473: 22, 489: 20, 495: 19, 498: 19, 503: 22, 505: 20, 509: 21, 517: 23, 532: 24, 537: 27, 548: 25, 550: 25, 560: 28, 579: 21, 587: 27, 613: 22, 618: 25, 635: 23, 656: 21, 659: 21, 678: 25, 680: 21, 688: 22, 696: 20, 710: 25, 715: 21, 719: 19, 724: 22, 732: 20, 749: 23, 763: 20, 776: 26, 783: 26, 786: 21, 788: 26, 790: 20, 791: 20, 797: 26, 800: 23, 805: 25, 813: 24, 823: 22, 827: 22, 831: 25, 837: 21, 838: 21, 840: 24, 860: 23, 862: 20, 865: 27, 867: 20, 869: 20, 878: 19, 880: 27, 907: 23, 910: 27, 912: 17, 914: 23, 937: 26, 940: 28, 958: 17, 960: 20, 961: 17, 968: 21, 970: 24, 994: 16}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 404, 994, 912, 958, 961, 250, 360, 370, 450, 164, 222, 279, 311, 423, 495, 498, 719, 878, 98, 216, 224, 489, 505, 696, 732, 763, 790, 791, 862, 867, 869, 960, 61, 66, 158, 162, 258, 292, 509, 579, 656, 659, 680, 715, 786, 837, 838, 968, 28, 119, 156, 285, 307, 468, 473, 503, 613, 688, 724, 823, 827, 49, 62, 99, 151, 163, 240, 281, 287, 425, 433, 449, 517, 635, 749, 800, 860, 907, 914, 29, 102, 138, 313, 409, 441, 532, 813, 840, 970, 109, 115, 213, 438, 465, 548, 550, 618, 678, 710, 805, 831, 94, 234, 257, 413, 776, 783, 788, 797, 937, 363, 537, 587, 865, 880, 910, 288, 330, 447, 560, 940, 64]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 17: 21, 19: 23, 25: 19, 29: 22, 33: 24, 43: 23, 46: 25, 58: 22, 59: 23, 60: 27, 72: 22, 84: 22, 87: 23, 99: 19, 101: 22, 102: 28, 106: 21, 112: 21, 114: 22, 127: 21, 128: 22, 130: 23, 141: 26, 158: 26, 177: 23, 180: 24, 184: 24, 203: 22, 234: 21, 237: 24, 239: 25, 245: 27, 266: 22, 279: 24, 285: 22, 289: 20, 305: 18, 311: 20, 316: 24, 350: 24, 352: 20, 367: 27, 380: 25, 383: 24, 389: 28, 392: 22, 395: 25, 398: 26, 400: 25, 418: 22, 419: 25, 431: 19, 432: 22, 436: 24, 450: 26, 453: 24, 454: 25, 463: 22, 465: 25, 472: 20, 480: 25, 490: 17, 495: 30, 498: 25, 520: 19, 534: 21, 539: 23, 543: 22, 553: 25, 561: 17, 562: 19, 574: 19, 576: 24, 582: 20, 584: 23, 590: 21, 612: 24, 615: 24, 616: 28, 618: 24, 637: 22, 650: 32, 654: 22, 662: 24, 671: 24, 677: 30, 689: 25, 694: 22, 697: 22, 705: 23, 713: 24, 719: 24, 729: 23, 736: 27, 744: 22, 764: 22, 765: 24, 771: 23, 794: 23, 795: 20, 799: 19, 800: 25, 810: 26, 811: 24, 823: 22, 827: 23, 831: 23, 833: 21, 839: 22, 853: 26, 858: 23, 876: 22, 886: 24, 889: 21, 910: 19, 912: 26, 913: 22, 916: 21, 920: 22, 930: 19, 938: 26, 939: 23, 941: 22, 943: 26, 961: 23, 966: 27, 976: 28, 981: 23, 999: 29}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 490, 561, 305, 25, 99, 431, 520, 562, 574, 799, 910, 930, 289, 311, 352, 472, 582, 795, 17, 106, 112, 127, 234, 534, 590, 833, 889, 916, 29, 58, 72, 84, 101, 114, 128, 203, 266, 285, 392, 418, 432, 463, 543, 637, 654, 694, 697, 744, 764, 823, 839, 876, 913, 920, 941, 19, 43, 59, 87, 130, 177, 539, 584, 705, 729, 771, 794, 827, 831, 858, 939, 961, 981, 33, 180, 184, 237, 279, 316, 350, 383, 436, 453, 576, 612, 615, 618, 662, 671, 713, 719, 765, 811, 886, 46, 239, 380, 395, 400, 419, 454, 465, 480, 498, 553, 689, 800, 141, 158, 398, 450, 810, 853, 912, 938, 943, 60, 245, 367, 736, 966, 102, 389, 616, 976, 999, 495, 677, 650]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 4, 7: 5, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 11, 14: 13, 16: 18, 20: 31, 36: 21, 43: 21, 47: 22, 64: 20, 75: 24, 90: 21, 94: 24, 102: 20, 106: 26, 110: 28, 120: 23, 122: 21, 124: 27, 125: 23, 127: 28, 134: 20, 138: 24, 143: 18, 158: 29, 163: 23, 186: 21, 188: 19, 194: 27, 196: 28, 205: 24, 211: 21, 225: 25, 236: 29, 238: 23, 246: 22, 249: 25, 253: 22, 264: 26, 269: 20, 270: 26, 273: 21, 284: 27, 286: 21, 302: 19, 321: 28, 329: 19, 333: 23, 338: 25, 345: 19, 347: 28, 349: 26, 354: 21, 356: 29, 357: 25, 359: 20, 373: 25, 378: 28, 389: 22, 392: 22, 412: 24, 423: 19, 447: 23, 458: 22, 459: 23, 463: 27, 464: 25, 469: 24, 470: 23, 478: 20, 479: 25, 502: 22, 535: 29, 541: 24, 544: 24, 548: 26, 550: 27, 553: 25, 556: 23, 558: 21, 559: 29, 561: 23, 573: 21, 591: 20, 613: 30, 616: 24, 623: 27, 626: 24, 634: 24, 652: 22, 653: 23, 684: 21, 685: 18, 688: 26, 692: 27, 707: 25, 712: 29, 728: 22, 748: 21, 759: 21, 761: 24, 769: 24, 777: 24, 789: 28, 798: 20, 823: 25, 825: 28, 834: 20, 836: 22, 841: 26, 856: 29, 858: 27, 862: 19, 865: 23, 882: 25, 884: 28, 887: 21, 902: 21, 906: 23, 907: 24, 908: 25, 909: 20, 919: 24, 922: 23, 924: 21, 930: 20, 933: 28, 949: 25, 957: 22, 958: 27, 959: 23, 965: 23, 969: 24, 973: 22, 975: 25, 979: 29, 986: 24, 991: 20, 995: 28, 1000: 25}
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learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 551: 14}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 551]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 98: 14}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 98]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 354: 14}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 354]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 12}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 179: 14}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 179]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 153: 14}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 153]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 627: 14}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 627]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
#beta =  0.8 

#mean of distances:
 Ld= [np.float64(4125.2), np.float64(1518.05), np.float64(137.55), np.float64(74.05), np.float64(7.05), np.float64(2.45), np.float64(0.55), np.float64(0.3), np.float64(0.1), np.float64(0.0), np.float64(0.2), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0)] 

#variance of distances:
 Lv= [np.float64(581.2145989219472), np.float64(259.5338561729471), np.float64(42.30333911170606), np.float64(46.43729643293201), np.float64(5.641143501099755), np.float64(3.10201547384922), np.float64(0.5220153254455275), np.float64(0.45825756949558405), np.float64(0.30000000000000004), np.float64(0.0), np.float64(0.4000000000000001), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0)] 

learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 28: 23, 34: 25, 36: 25, 37: 25, 53: 23, 59: 27, 68: 25, 76: 24, 77: 29, 94: 28, 96: 23, 103: 20, 127: 21, 139: 22, 145: 24, 155: 25, 160: 22, 171: 27, 186: 17, 193: 27, 198: 25, 217: 22, 219: 20, 229: 24, 235: 25, 239: 22, 246: 26, 251: 25, 255: 19, 260: 24, 264: 22, 288: 27, 296: 27, 297: 19, 298: 21, 306: 23, 328: 21, 334: 25, 338: 20, 340: 22, 348: 27, 350: 32, 353: 23, 357: 23, 358: 26, 359: 21, 374: 26, 389: 26, 406: 25, 416: 22, 427: 22, 438: 22, 443: 24, 447: 24, 452: 15, 460: 21, 465: 26, 471: 24, 504: 21, 505: 19, 506: 25, 510: 28, 528: 19, 529: 28, 530: 25, 548: 20, 552: 21, 555: 19, 564: 25, 569: 18, 570: 24, 585: 23, 602: 23, 611: 20, 619: 22, 630: 21, 639: 23, 652: 24, 661: 22, 671: 20, 688: 21, 696: 23, 716: 19, 729: 18, 747: 29, 751: 25, 757: 22, 758: 22, 769: 21, 770: 31, 774: 25, 783: 25, 784: 19, 792: 22, 806: 23, 813: 31, 814: 24, 818: 25, 820: 20, 824: 18, 829: 25, 830: 25, 832: 21, 833: 20, 837: 23, 858: 22, 880: 22, 884: 24, 887: 21, 893: 26, 895: 22, 903: 24, 916: 24, 920: 19, 921: 25, 927: 23, 931: 28, 933: 23, 934: 17, 936: 25, 937: 22, 946: 21, 952: 24, 960: 27, 961: 19, 962: 25, 966: 28, 975: 23, 980: 20, 983: 23, 984: 25, 985: 24, 993: 25}
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learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
#beta =  1.0 

#mean of distances:
 Ld= [np.float64(4142.5), np.float64(1493.7), np.float64(152.05), np.float64(69.55), np.float64(9.5), np.float64(4.35), np.float64(0.65), np.float64(0.0), np.float64(0.05), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0)] 

#variance of distances:
 Lv= [np.float64(474.7316083852012), np.float64(212.7901783447723), np.float64(52.539723067408715), np.float64(25.093275991787124), np.float64(7.755643106796495), np.float64(2.4295061226512686), np.float64(0.9759610647971567), np.float64(0.0), np.float64(0.15000000000000002), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0)] 

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learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 454: 14}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 454]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13, 366: 14}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 366]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 11: 10, 12: 11, 13: 12, 14: 13}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
#beta =  1.2000000000000002 

#mean of distances:
 Ld= [np.float64(4578.3), np.float64(1590.9), np.float64(159.2), np.float64(65.85), np.float64(8.25), np.float64(4.9), np.float64(0.7), np.float64(0.25), np.float64(0.0), np.float64(0.05), np.float64(0.05), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0)] 

#variance of distances:
 Lv= [np.float64(636.1583214892344), np.float64(204.89897510724643), np.float64(82.31196753814113), np.float64(27.708347117791057), np.float64(5.446329038903177), np.float64(3.659234892706397), np.float64(1.5033296378372907), np.float64(0.4609772228646444), np.float64(0.0), np.float64(0.15000000000000002), np.float64(0.15000000000000002), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0)] 

