#n= 1000 k= 10 p= 0.5
#sigma: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
#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: 0, 3: 2, 4: 2, 5: 5, 6: 3, 7: 4, 8: 7, 9: 8, 10: 9, 17: 21, 19: 19, 22: 20, 25: 17, 26: 16, 30: 17, 37: 19, 39: 21, 46: 21, 50: 18, 68: 18, 74: 20, 88: 17, 93: 20, 95: 23, 97: 20, 110: 19, 119: 22, 125: 18, 130: 21, 131: 18, 139: 19, 142: 19, 144: 16, 184: 20, 191: 15, 200: 20, 201: 16, 215: 20, 217: 19, 223: 23, 229: 17, 237: 24, 264: 17, 282: 19, 284: 20, 285: 15, 288: 22, 289: 20, 290: 21, 293: 23, 294: 20, 299: 23, 300: 21, 304: 22, 309: 21, 317: 19, 333: 19, 337: 19, 339: 17, 349: 17, 353: 18, 361: 14, 362: 22, 371: 26, 376: 23, 385: 25, 386: 21, 391: 20, 392: 18, 393: 18, 397: 21, 409: 23, 410: 15, 415: 20, 420: 18, 421: 22, 426: 16, 432: 18, 434: 20, 435: 11, 449: 16, 470: 18, 501: 22, 516: 18, 526: 21, 535: 15, 545: 22, 552: 18, 562: 21, 569: 20, 575: 17, 587: 19, 590: 18, 593: 18, 602: 19, 616: 18, 619: 18, 635: 16, 638: 16, 657: 21, 669: 20, 672: 19, 680: 21, 690: 27, 710: 27, 712: 25, 717: 22, 726: 17, 731: 17, 735: 22, 754: 16, 758: 18, 776: 18, 786: 24, 792: 23, 794: 17, 796: 20, 812: 16, 820: 21, 821: 18, 832: 19, 845: 13, 856: 18, 865: 15, 872: 26, 896: 21, 900: 18, 901: 18, 921: 18, 932: 14, 933: 19, 935: 19, 937: 24, 947: 21, 983: 21, 989: 17, 995: 22, 999: 13}
learned_list: [1, 2, 3, 4, 6, 7, 5, 8, 9, 10, 435, 845, 999, 361, 932, 191, 285, 410, 535, 865, 26, 144, 201, 426, 449, 635, 638, 754, 812, 25, 30, 88, 229, 264, 339, 349, 575, 726, 731, 794, 989, 50, 68, 125, 131, 353, 392, 393, 420, 432, 470, 516, 552, 590, 593, 616, 619, 758, 776, 821, 856, 900, 901, 921, 19, 37, 110, 139, 142, 217, 282, 317, 333, 337, 587, 602, 672, 832, 933, 935, 22, 74, 93, 97, 184, 200, 215, 284, 289, 294, 391, 415, 434, 569, 669, 796, 17, 39, 46, 130, 290, 300, 309, 386, 397, 526, 562, 657, 680, 820, 896, 947, 983, 119, 288, 304, 362, 421, 501, 545, 717, 735, 995, 95, 223, 293, 299, 376, 409, 792, 237, 786, 937, 385, 712, 371, 872, 690, 710]
learned_dic: {1: 2, 2: 0, 3: 0, 4: 3, 5: 4, 6: 3, 7: 6, 8: 7, 9: 8, 10: 8, 12: 20, 14: 18, 20: 19, 33: 15, 42: 22, 61: 16, 84: 16, 87: 19, 88: 12, 98: 18, 125: 16, 130: 19, 132: 17, 144: 19, 152: 20, 160: 20, 162: 20, 166: 17, 167: 22, 191: 18, 193: 20, 215: 18, 223: 21, 227: 18, 247: 22, 261: 20, 264: 22, 276: 16, 286: 19, 289: 16, 291: 17, 303: 22, 329: 17, 331: 14, 332: 15, 347: 12, 348: 17, 355: 16, 359: 16, 365: 25, 373: 18, 387: 20, 389: 17, 392: 14, 396: 18, 398: 18, 403: 20, 413: 15, 417: 17, 420: 20, 425: 23, 427: 18, 434: 14, 436: 22, 441: 15, 447: 14, 456: 22, 459: 15, 464: 20, 467: 16, 473: 17, 481: 23, 503: 17, 519: 16, 520: 15, 537: 16, 538: 22, 552: 17, 560: 18, 564: 22, 572: 19, 573: 17, 583: 24, 607: 15, 611: 21, 621: 12, 628: 18, 633: 24, 644: 22, 645: 22, 652: 19, 663: 17, 667: 20, 670: 15, 681: 20, 683: 17, 694: 14, 697: 18, 699: 17, 704: 19, 722: 21, 725: 25, 732: 20, 733: 16, 747: 17, 754: 17, 780: 17, 784: 19, 786: 17, 831: 17, 849: 21, 852: 15, 856: 19, 861: 22, 862: 21, 865: 19, 873: 26, 901: 15, 922: 17, 927: 26, 941: 19, 944: 20, 970: 22, 971: 22, 993: 18}
learned_list: [2, 3, 1, 4, 6, 5, 7, 8, 9, 10, 88, 347, 621, 331, 392, 434, 447, 694, 33, 332, 413, 441, 459, 520, 607, 670, 852, 901, 61, 84, 125, 276, 289, 355, 359, 467, 519, 537, 733, 132, 166, 291, 329, 348, 389, 417, 473, 503, 552, 573, 663, 683, 699, 747, 754, 780, 786, 831, 922, 14, 98, 191, 215, 227, 373, 396, 398, 427, 560, 628, 697, 993, 20, 87, 130, 144, 286, 572, 652, 704, 784, 856, 865, 941, 12, 152, 160, 162, 193, 261, 387, 403, 420, 464, 667, 681, 732, 944, 223, 611, 722, 849, 862, 42, 167, 247, 264, 303, 436, 456, 538, 564, 644, 645, 861, 970, 971, 425, 481, 583, 633, 365, 725, 873, 927]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 4, 7: 4, 8: 7, 9: 8, 10: 9, 12: 14, 16: 20, 34: 24, 37: 23, 46: 24, 56: 17, 68: 18, 74: 19, 75: 19, 76: 15, 82: 15, 100: 19, 104: 18, 116: 18, 120: 20, 149: 19, 156: 19, 164: 22, 169: 21, 174: 16, 179: 25, 192: 15, 193: 16, 197: 20, 224: 18, 246: 15, 255: 20, 267: 18, 277: 17, 288: 16, 293: 22, 304: 17, 328: 19, 332: 14, 336: 16, 340: 16, 343: 18, 345: 19, 348: 19, 371: 16, 379: 22, 410: 18, 412: 16, 413: 18, 426: 16, 434: 14, 464: 18, 470: 15, 474: 19, 477: 19, 482: 20, 490: 13, 493: 20, 496: 19, 506: 21, 514: 15, 521: 21, 530: 15, 532: 17, 546: 18, 554: 21, 556: 15, 558: 20, 565: 17, 570: 20, 579: 19, 582: 17, 584: 17, 588: 17, 589: 23, 607: 15, 617: 18, 627: 16, 634: 16, 636: 18, 641: 20, 651: 16, 659: 23, 660: 21, 663: 14, 671: 17, 713: 16, 717: 23, 720: 17, 724: 15, 743: 21, 753: 16, 754: 18, 765: 13, 782: 17, 785: 18, 800: 17, 803: 19, 807: 22, 837: 15, 838: 17, 841: 18, 842: 17, 846: 25, 856: 17, 871: 14, 883: 16, 884: 21, 890: 16, 892: 16, 907: 14, 919: 20, 931: 16, 932: 21, 975: 22, 996: 17}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 490, 765, 12, 332, 434, 663, 871, 907, 76, 82, 192, 246, 470, 514, 530, 556, 607, 724, 837, 174, 193, 288, 336, 340, 371, 412, 426, 627, 634, 651, 713, 753, 883, 890, 892, 931, 56, 277, 304, 532, 565, 582, 584, 588, 671, 720, 782, 800, 838, 842, 856, 996, 68, 104, 116, 224, 267, 343, 410, 413, 464, 546, 617, 636, 754, 785, 841, 74, 75, 100, 149, 156, 328, 345, 348, 474, 477, 496, 579, 803, 16, 120, 197, 255, 482, 493, 558, 570, 641, 919, 169, 506, 521, 554, 660, 743, 884, 932, 164, 293, 379, 807, 975, 37, 589, 659, 717, 34, 46, 179, 846]
learned_dic: {1: 0, 2: 1, 3: 3, 4: 2, 5: 2, 6: 5, 7: 6, 8: 7, 9: 7, 10: 9, 20: 20, 22: 21, 24: 22, 25: 20, 26: 27, 43: 13, 55: 21, 61: 22, 68: 17, 72: 20, 76: 19, 78: 19, 89: 20, 102: 19, 103: 15, 104: 25, 109: 18, 111: 22, 115: 17, 118: 18, 127: 17, 130: 22, 139: 17, 140: 19, 151: 22, 155: 21, 174: 22, 175: 14, 186: 17, 189: 17, 196: 23, 211: 17, 219: 18, 224: 25, 231: 23, 232: 15, 239: 19, 244: 14, 245: 22, 254: 17, 265: 18, 273: 24, 280: 16, 285: 23, 293: 18, 309: 16, 310: 15, 343: 22, 352: 20, 369: 16, 370: 20, 373: 21, 374: 23, 377: 20, 386: 23, 388: 18, 392: 16, 393: 21, 395: 18, 416: 20, 435: 20, 441: 19, 443: 15, 446: 21, 447: 16, 455: 20, 464: 15, 480: 18, 494: 18, 501: 19, 513: 24, 516: 16, 523: 19, 531: 19, 537: 19, 538: 21, 549: 13, 563: 18, 565: 14, 571: 16, 575: 19, 586: 13, 591: 14, 593: 19, 603: 20, 613: 12, 620: 26, 621: 18, 625: 19, 627: 20, 651: 16, 661: 16, 667: 21, 669: 23, 675: 24, 680: 27, 692: 23, 701: 22, 706: 18, 708: 21, 730: 20, 731: 16, 737: 19, 747: 17, 751: 19, 753: 20, 755: 18, 760: 24, 778: 19, 782: 20, 789: 15, 790: 20, 793: 23, 809: 15, 829: 17, 830: 16, 849: 19, 851: 18, 865: 22, 866: 21, 878: 15, 890: 16, 918: 18, 927: 16, 929: 19, 938: 20, 944: 22, 955: 22, 971: 18, 980: 20, 982: 22, 987: 18}
learned_list: [1, 2, 4, 5, 3, 6, 7, 8, 9, 10, 613, 43, 549, 586, 175, 244, 565, 591, 103, 232, 310, 443, 464, 789, 809, 878, 280, 309, 369, 392, 447, 516, 571, 651, 661, 731, 830, 890, 927, 68, 115, 127, 139, 186, 189, 211, 254, 747, 829, 109, 118, 219, 265, 293, 388, 395, 480, 494, 563, 621, 706, 755, 851, 918, 971, 987, 76, 78, 102, 140, 239, 441, 501, 523, 531, 537, 575, 593, 625, 737, 751, 778, 849, 929, 20, 25, 72, 89, 352, 370, 377, 416, 435, 455, 603, 627, 730, 753, 782, 790, 938, 980, 22, 55, 155, 373, 393, 446, 538, 667, 708, 866, 24, 61, 111, 130, 151, 174, 245, 343, 701, 865, 944, 955, 982, 196, 231, 285, 374, 386, 669, 692, 793, 273, 513, 675, 760, 104, 224, 620, 26, 680]
learned_dic: {1: 0, 2: 0, 3: 3, 4: 1, 5: 3, 6: 5, 7: 6, 8: 6, 9: 7, 10: 9, 17: 19, 18: 20, 35: 19, 44: 18, 55: 20, 79: 14, 100: 17, 101: 16, 103: 21, 115: 21, 126: 16, 129: 23, 132: 15, 133: 19, 143: 19, 151: 20, 152: 17, 155: 16, 174: 14, 178: 21, 181: 20, 193: 22, 201: 22, 203: 23, 250: 17, 256: 19, 257: 20, 271: 19, 277: 20, 288: 25, 305: 15, 314: 28, 320: 19, 325: 19, 328: 16, 337: 20, 348: 22, 350: 14, 356: 22, 369: 19, 377: 23, 386: 22, 394: 19, 404: 18, 410: 18, 415: 20, 417: 17, 419: 19, 428: 16, 429: 18, 431: 22, 440: 19, 443: 20, 449: 20, 451: 18, 463: 20, 473: 16, 475: 17, 483: 21, 492: 21, 505: 20, 509: 25, 511: 23, 512: 19, 521: 16, 522: 23, 530: 23, 531: 19, 532: 21, 568: 23, 573: 22, 577: 24, 589: 17, 591: 20, 596: 21, 601: 16, 605: 21, 609: 13, 610: 15, 613: 25, 631: 17, 642: 15, 644: 14, 649: 19, 652: 19, 678: 21, 681: 14, 686: 23, 695: 17, 703: 15, 705: 19, 708: 23, 718: 17, 721: 20, 723: 17, 732: 22, 743: 18, 744: 25, 769: 18, 770: 23, 784: 18, 790: 17, 795: 16, 825: 22, 826: 28, 829: 22, 832: 25, 834: 16, 850: 13, 853: 23, 859: 19, 879: 21, 883: 16, 888: 15, 907: 22, 919: 23, 920: 18, 936: 16, 940: 18, 951: 25, 952: 17, 963: 18, 964: 21, 970: 21, 971: 19, 987: 27, 1000: 21}
learned_list: [1, 2, 4, 3, 5, 6, 7, 8, 9, 10, 609, 850, 79, 174, 350, 644, 681, 132, 305, 610, 642, 703, 888, 101, 126, 155, 328, 428, 473, 521, 601, 795, 834, 883, 936, 100, 152, 250, 417, 475, 589, 631, 695, 718, 723, 790, 952, 44, 404, 410, 429, 451, 743, 769, 784, 920, 940, 963, 17, 35, 133, 143, 256, 271, 320, 325, 369, 394, 419, 440, 512, 531, 649, 652, 705, 859, 971, 18, 55, 151, 181, 257, 277, 337, 415, 443, 449, 463, 505, 591, 721, 103, 115, 178, 483, 492, 532, 596, 605, 678, 879, 964, 970, 1000, 193, 201, 348, 356, 386, 431, 573, 732, 825, 829, 907, 129, 203, 377, 511, 522, 530, 568, 686, 708, 770, 853, 919, 577, 288, 509, 613, 744, 832, 951, 987, 314, 826]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 5, 7: 5, 8: 5, 9: 8, 10: 9, 13: 17, 19: 21, 22: 18, 28: 19, 38: 14, 51: 17, 53: 19, 57: 16, 63: 14, 64: 17, 77: 16, 78: 23, 81: 20, 90: 24, 92: 28, 106: 21, 107: 21, 110: 19, 113: 16, 118: 27, 122: 20, 128: 23, 131: 22, 142: 20, 146: 20, 158: 21, 160: 16, 165: 20, 169: 20, 170: 19, 174: 26, 183: 20, 194: 16, 198: 22, 200: 17, 202: 21, 223: 23, 230: 17, 236: 17, 237: 22, 242: 20, 244: 15, 252: 21, 254: 20, 260: 18, 261: 20, 266: 24, 269: 20, 296: 18, 297: 20, 308: 19, 310: 18, 324: 20, 338: 22, 351: 24, 360: 25, 367: 17, 379: 24, 382: 19, 388: 22, 396: 21, 408: 23, 418: 20, 422: 20, 441: 23, 447: 21, 450: 18, 454: 25, 455: 14, 456: 26, 460: 20, 475: 21, 490: 26, 501: 19, 507: 19, 512: 17, 513: 22, 518: 20, 520: 25, 531: 20, 533: 21, 540: 22, 545: 21, 548: 14, 549: 19, 561: 21, 565: 18, 568: 28, 571: 24, 574: 22, 583: 26, 586: 18, 592: 18, 599: 18, 600: 17, 604: 23, 607: 22, 608: 18, 614: 19, 617: 21, 620: 23, 670: 21, 673: 21, 679: 24, 698: 20, 701: 18, 713: 24, 714: 20, 723: 22, 735: 21, 757: 20, 758: 27, 759: 16, 763: 19, 785: 19, 786: 21, 806: 17, 808: 22, 811: 20, 816: 25, 817: 21, 825: 27, 829: 23, 832: 16, 834: 14, 846: 23, 871: 17, 872: 27, 874: 23, 876: 21, 879: 28, 881: 21, 911: 20, 912: 22, 931: 22, 936: 21, 942: 23, 946: 19, 948: 24, 954: 21, 959: 17, 966: 22, 990: 19, 991: 25, 993: 16, 995: 20}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 38, 63, 455, 548, 834, 244, 57, 77, 113, 160, 194, 759, 832, 993, 13, 51, 64, 200, 230, 236, 367, 512, 600, 806, 871, 959, 22, 260, 296, 310, 450, 565, 586, 592, 599, 608, 701, 28, 53, 110, 170, 308, 382, 501, 507, 549, 614, 763, 785, 946, 990, 81, 122, 142, 146, 165, 169, 183, 242, 254, 261, 269, 297, 324, 418, 422, 460, 518, 531, 698, 714, 757, 811, 911, 995, 19, 106, 107, 158, 202, 252, 396, 447, 475, 533, 545, 561, 617, 670, 673, 735, 786, 817, 876, 881, 936, 954, 131, 198, 237, 338, 388, 513, 540, 574, 607, 723, 808, 912, 931, 966, 78, 128, 223, 408, 441, 604, 620, 829, 846, 874, 942, 90, 266, 351, 379, 571, 679, 713, 948, 360, 454, 520, 816, 991, 174, 456, 490, 583, 118, 758, 825, 872, 92, 568, 879]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 1, 5: 4, 6: 4, 7: 7, 8: 6, 9: 6, 10: 9, 17: 21, 23: 16, 28: 16, 34: 27, 39: 21, 43: 18, 45: 24, 48: 22, 52: 16, 53: 26, 58: 18, 68: 22, 70: 16, 73: 20, 75: 20, 82: 19, 88: 24, 97: 20, 103: 17, 104: 19, 106: 25, 111: 22, 113: 20, 114: 24, 120: 20, 123: 18, 124: 17, 125: 21, 133: 17, 144: 19, 153: 21, 155: 20, 162: 17, 165: 21, 169: 24, 188: 18, 189: 14, 198: 20, 202: 17, 222: 20, 226: 13, 227: 19, 229: 20, 237: 20, 249: 25, 259: 24, 263: 17, 277: 18, 282: 21, 285: 26, 296: 16, 299: 16, 310: 17, 315: 22, 323: 19, 340: 20, 349: 17, 352: 14, 353: 24, 356: 16, 360: 18, 387: 19, 392: 18, 399: 22, 408: 20, 429: 20, 432: 15, 436: 14, 441: 18, 446: 19, 457: 24, 462: 15, 495: 21, 496: 18, 499: 17, 503: 19, 515: 23, 522: 19, 527: 18, 536: 16, 546: 21, 553: 24, 554: 19, 562: 21, 577: 16, 578: 24, 585: 23, 594: 19, 597: 22, 599: 18, 600: 19, 612: 15, 621: 21, 633: 20, 645: 20, 652: 22, 655: 28, 658: 15, 659: 19, 674: 23, 685: 18, 702: 23, 707: 27, 711: 23, 718: 25, 729: 23, 733: 15, 736: 22, 747: 19, 750: 20, 765: 20, 773: 16, 786: 22, 807: 15, 813: 22, 819: 21, 823: 19, 827: 17, 848: 25, 859: 25, 866: 18, 874: 20, 886: 20, 887: 26, 891: 21, 892: 20, 911: 19, 915: 25, 934: 25, 936: 24, 938: 16, 955: 23, 959: 17, 961: 19, 966: 21, 981: 19, 996: 19}
learned_list: [1, 2, 4, 3, 5, 6, 8, 9, 7, 10, 226, 189, 352, 436, 432, 462, 612, 658, 733, 807, 23, 28, 52, 70, 296, 299, 356, 536, 577, 773, 938, 103, 124, 133, 162, 202, 263, 310, 349, 499, 827, 959, 43, 58, 123, 188, 277, 360, 392, 441, 496, 527, 599, 685, 866, 82, 104, 144, 227, 323, 387, 446, 503, 522, 554, 594, 600, 659, 747, 823, 911, 961, 981, 996, 73, 75, 97, 113, 120, 155, 198, 222, 229, 237, 340, 408, 429, 633, 645, 750, 765, 874, 886, 892, 17, 39, 125, 153, 165, 282, 495, 546, 562, 621, 819, 891, 966, 48, 68, 111, 315, 399, 597, 652, 736, 786, 813, 515, 585, 674, 702, 711, 729, 955, 45, 88, 114, 169, 259, 353, 457, 553, 578, 936, 106, 249, 718, 848, 859, 915, 934, 53, 285, 887, 34, 707, 655]
learned_dic: {1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 5, 7: 6, 8: 8, 9: 6, 10: 8, 15: 16, 18: 18, 51: 18, 73: 21, 82: 15, 93: 26, 94: 22, 100: 17, 126: 20, 128: 21, 156: 20, 158: 20, 162: 23, 166: 27, 173: 21, 174: 21, 186: 15, 199: 20, 205: 26, 207: 16, 208: 17, 212: 15, 230: 18, 255: 14, 258: 21, 265: 19, 272: 15, 274: 16, 280: 19, 284: 15, 296: 16, 298: 24, 313: 19, 335: 20, 357: 17, 365: 21, 378: 16, 383: 21, 387: 17, 388: 20, 402: 19, 413: 19, 430: 20, 444: 18, 447: 18, 448: 19, 451: 15, 480: 17, 492: 20, 506: 23, 523: 16, 536: 20, 540: 21, 542: 20, 546: 16, 549: 17, 556: 23, 557: 16, 561: 18, 565: 16, 566: 16, 573: 17, 586: 17, 596: 18, 603: 20, 613: 18, 616: 23, 618: 18, 620: 18, 627: 15, 642: 19, 654: 25, 659: 17, 661: 22, 665: 18, 668: 20, 695: 21, 697: 16, 698: 26, 701: 24, 714: 21, 723: 20, 726: 17, 729: 18, 730: 19, 733: 18, 737: 22, 739: 16, 748: 16, 753: 18, 764: 20, 772: 19, 779: 22, 788: 18, 790: 15, 791: 16, 805: 18, 820: 22, 828: 30, 836: 18, 846: 18, 847: 18, 857: 19, 876: 17, 878: 18, 882: 22, 893: 20, 895: 17, 911: 17, 912: 14, 920: 18, 922: 19, 923: 18, 925: 11, 936: 18, 949: 15, 951: 17, 955: 23, 962: 22, 975: 19, 979: 16}
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learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 5, 8: 6, 9: 7, 10: 9, 250: 10, 406: 10, 791: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 250, 406, 791]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 4, 7: 6, 8: 6, 9: 7, 10: 9, 944: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 944]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 7, 10: 9, 214: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 214]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 8, 10: 8, 208: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 208]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 2, 6: 5, 7: 6, 8: 7, 9: 7, 10: 8}
learned_list: [1, 2, 3, 5, 4, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 9, 558: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 558]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9, 505: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 505]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9, 272: 10, 915: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 272, 915]
learned_dic: {1: 0, 2: 0, 3: 1, 4: 2, 5: 3, 6: 4, 7: 6, 8: 7, 9: 7, 10: 9, 26: 10, 261: 10, 370: 10, 556: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 26, 261, 370, 556]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 8, 915: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 915]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 2, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 2, 5: 4, 6: 5, 7: 5, 8: 7, 9: 7, 10: 9, 603: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 603]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 3, 6: 4, 7: 6, 8: 6, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 4, 7: 5, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 4, 6: 4, 7: 6, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 4, 7: 6, 8: 6, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 2, 5: 3, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 5, 7: 5, 8: 6, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 7, 9: 7, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 5, 7: 5, 8: 5, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 5, 7: 5, 8: 7, 9: 8, 10: 8, 54: 10, 414: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 54, 414]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 7, 9: 7, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 1, 4: 3, 5: 3, 6: 5, 7: 5, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 1, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 4, 7: 5, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 5, 8: 7, 9: 7, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 7, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 2, 5: 4, 6: 5, 7: 5, 8: 7, 9: 7, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 4, 7: 5, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 7, 9: 7, 10: 8, 906: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 906]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 924: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 924]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 6, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 4, 7: 5, 8: 7, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 2, 5: 4, 6: 4, 7: 6, 8: 6, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 3, 6: 5, 7: 5, 8: 6, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 1, 4: 2, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 3, 6: 5, 7: 5, 8: 7, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 4, 7: 6, 8: 7, 9: 7, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 2, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 4, 7: 6, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 4, 7: 6, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 3, 6: 5, 7: 6, 8: 6, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 4, 7: 5, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 4, 7: 6, 8: 6, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 1, 4: 2, 5: 4, 6: 5, 7: 5, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
#beta =  0.4 

#mean of distances:
 Ld= [np.float64(4229.9), np.float64(1450.0), np.float64(173.1), np.float64(76.1), np.float64(16.25), np.float64(6.25), np.float64(3.0), np.float64(2.65), np.float64(2.8), np.float64(2.65), np.float64(2.4), np.float64(2.4), np.float64(1.9), np.float64(1.7), np.float64(2.1)] 

#variance of distances:
 Lv= [np.float64(735.4931270922931), np.float64(391.7116286249363), np.float64(49.52363072312045), np.float64(24.165885044831278), np.float64(8.620469824783333), np.float64(4.331570154112709), np.float64(1.0954451150103321), np.float64(1.0012492197250393), np.float64(1.16619037896906), np.float64(1.184271928232701), np.float64(0.9165151389911679), np.float64(0.8), np.float64(1.044030650891055), np.float64(1.0049875621120892), np.float64(0.7)] 

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learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 7, 10: 9, 339: 10, 444: 10, 482: 10, 499: 10, 828: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 339, 444, 482, 499, 828]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 175: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 175]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 964: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 964]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 231: 10, 513: 10, 549: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 231, 513, 549]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 7, 10: 9, 639: 10, 682: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 639, 682]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 491: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 491]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9, 509: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 509]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 8}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 9, 100: 10, 789: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 100, 789]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 539: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 539]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 659: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 659]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 949: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 949]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 648: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 648]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9, 598: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 598]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9, 304: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 304]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 9, 212: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 212]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 7, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 877: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 877]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 730: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 730]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9, 788: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 788]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 8, 817: 10}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 817]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 4, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 0, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 3, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 6, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 2, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 5, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
learned_dic: {1: 0, 2: 1, 3: 2, 4: 3, 5: 4, 6: 5, 7: 6, 8: 7, 9: 8, 10: 9}
learned_list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
#beta =  0.6000000000000001 

#mean of distances:
 Ld= [np.float64(3892.95), np.float64(1573.65), np.float64(183.95), np.float64(83.2), np.float64(16.75), np.float64(3.8), np.float64(1.0), np.float64(1.05), np.float64(0.2), np.float64(0.4), np.float64(0.1), np.float64(0.3), np.float64(0.6), np.float64(0.2), np.float64(0.0)] 

#variance of distances:
 Lv= [np.float64(589.8579680736711), np.float64(306.86618011765324), np.float64(75.52233113457237), np.float64(36.83150825040973), np.float64(11.758507558359605), np.float64(3.682390527904394), np.float64(1.746424919657298), np.float64(0.8200609733428362), np.float64(0.4000000000000001), np.float64(0.4898979485566356), np.float64(0.30000000000000004), np.float64(0.45825756949558405), np.float64(0.4898979485566356), np.float64(0.4000000000000001), np.float64(0.0)] 

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