TopCoder Statistics - Problem Statement

Problem Statement

Janusz is a young physicist. He is currently playing with some electric circuits.

The simplest circuit consists of a single conductor (i.e., a single piece of wire). Each such circuit is labeled using the string "X".

Janusz is using two different ways to connect two simpler circuits into one new, more complex circuit. Note that these are not the standard two ways (connecting in series and in parallel), so read the following description carefully.

If Janusz uses the type-A connection, the resistance of the new circuit is the sum of the resistances of the two original circuits.
If Janusz uses the type-B connection, the resistance of the new circuit is the maximum of the resistances of the two original circuits.

Suppose that the two original circuits had labels C1 and C2. Then we use the label "A"+C1+C2 for a new circuit constructed from them using the type-A connection, and the label "B"+C1+C2 if type-B connection was used. For example, "AXX" is the label of the circuit obtained by using a type-A connection on two conductors.

You are given a String circuit with a valid label of a circuit. You are also given a int[] conductors with as many elements as the number of occurrences of 'X' in circuit. The elements of conductors are the resistances of all conductors you are going to use to construct the circuit described by circuit. Each of the conductors can only be used once. Each of the conductors can be used as each of the 'X's. Return the largest possible resistance of the constructed circuit.

Definition

Class:: CircuitsConstruction
Method:: maximizeResistance
Parameters:: String, int[]
Returns:: int
Method signature:: int maximizeResistance(String circuit, int[] conductors)
(be sure your method is public)

Notes

There is no explicit constraint on the length of circuit. This is intentional, as it can be derived from the other constraints.

Constraints

Each character in circuit will be 'A', 'B', or 'X'.
circuit will be a valid circuit label according to the problem statement.
conductors will contain between 1 and 2,000 elements, inclusive.
Each element of conductors will be between 1 and 100,000, inclusive.
The number of occurrences of the character 'X' in circuit will be equal to the number of elements of conductors.

Examples

"BXBXX"

{8, 2, 3}

Returns: 8

Regardless of the order in which we use the conductors, the final resistance will be the maximum of the resistances of our three conductors.
"AAXXAXAXX"

{1, 1, 2, 8, 10}

Returns: 22

Regardless of the order in which we use the conductors, the final resistance will be the sum of the resistances of our five conductors.
"AXBXX"

{8, 2, 3}

Returns: 11

One possible optimal solution looks as follows: We take the conductors with resistance 2 and 3, and use a type-B connection to combine them into a new circuit. We take the remaining conductor (with resistance 8) and the new circuit constructed in the previous step. We use a type-A connection to combine them into the resulting circuit. The resistance of the circuit constructed in the first step is max(2,3) = 3. The resistance of the whole circuit is 8 + 3 = 11, which is the largest value we can obtain.
"BAAXBXXBXAXXBBAXXBXXAAXXX"

{17, 7, 21, 102, 56, 72, 88, 15, 9, 192, 16, 8, 30}

Returns: 454
"X"

{2}

Returns: 2
"BAXXX"

{900, 800, 700}

Returns: 1700
"ABXXBXX"

{5,4,3,10}

Returns: 15
"BAXXABBBXXXXX"

{1, 1, 10, 8, 7, 5, 1}

Returns: 18
"BBXBXBXXAXAXX"

{1, 1000, 10, 8, 7, 5, 1}

Returns: 1018
"ABBBXXXXAXAXX"

{100, 100, 10, 8, 7, 5, 70}

Returns: 280
"AABXXBXXBXAXX"

{1, 1, 10, 8, 7, 5, 1}

Returns: 30
"BBXABXXXBXBXX"

{1, 10, 10, 8, 70, 5, 1}

Returns: 80
"ABBABBXXXAXXBAAXXXBBXXAAXXXBBBXAXXBAXXXBBAAXXXBXXXBAABBBXXXABXBXXBAXXXAXBXAXXXBBABXXAXXABBXXAXAXXXX"

{323, 647, 195, 94, 682, 35, 723, 252, 143, 261, 106, 832, 450, 894, 669, 569, 484, 429, 246, 514, 516, 899, 238, 940, 915, 963, 708, 157, 242, 454, 47, 3, 578, 285, 753, 908, 795, 489, 12, 840, 370, 184, 273, 721, 925, 592, 695, 681, 81, 793}

Returns: 8911

Test to kill exponential solutions - 2 subcircuits of size 25.
"BABBAAXAXXAABXXAXAXXXBBXAXXAAXBXXBXXABAXXAXBXAXXXXAAAABXXAXBXBABXXXAAAXXXAXXBXAXXAAXXXAAABXXXXBXBXX"

{281, 229, 62, 790, 148, 465, 536, 541, 15, 780, 58, 871, 379, 429, 230, 250, 77, 102, 88, 965, 1, 96, 284, 347, 593, 464, 741, 915, 511, 664, 576, 159, 152, 993, 39, 821, 433, 343, 658, 243, 686, 637, 867, 206, 24, 403, 313, 403, 231, 533}

Returns: 12098

Test to kill exponential solutions - 2 subcircuits of size 25.
"AAAXXAAAAAAAXXXXAXXAXXXAAXAXAXXAXAXAXXAAAAXXAXAXXAAAAAXAXXAAXXXAXAXXXAXAAAAXXXAXAXXAXAAAXXXXAXBXAXX"

{808, 607, 681, 6, 895, 989, 306, 997, 66, 479, 460, 447, 608, 799, 160, 853, 32, 806, 446, 407, 208, 868, 514, 472, 486, 57, 71, 852, 538, 731, 224, 672, 803, 297, 301, 482, 658, 472, 59, 177, 436, 404, 143, 653, 35, 409, 252, 401, 383, 458}

Returns: 23362
"AAAXXABABAAAXXXXAXXAXXXAAXAXAXXBXAXAXXAAAAXXAXAXXAAAAAXAXXAAXXXAXAXXXAXAAAAXXXAXAXXAXAABXXXXAXAXBXX"

{639, 259, 140, 539, 562, 885, 371, 731, 886, 353, 760, 968, 911, 209, 893, 63, 667, 211, 106, 870, 127, 940, 513, 401, 463, 74, 362, 54, 486, 454, 168, 878, 674, 546, 492, 461, 883, 439, 657, 675, 397, 67, 271, 12, 293, 72, 940, 509, 241, 648}

Returns: 23878
"BBBBBBBXBXXXBXXBBXXXBBXBXXBXBBXXBBBBBBXXXBXBXXXBBBXXBXXXXBBXBBXBXXXBAXXXBBBBBXXXXBXBXXBBXBXXBXBXBXX"

{867, 648, 401, 570, 698, 646, 401, 529, 632, 329, 369, 569, 936, 768, 985, 185, 132, 130, 708, 738, 836, 330, 219, 777, 952, 66, 624, 500, 10, 310, 878, 65, 95, 522, 599, 387, 79, 526, 862, 461, 610, 617, 950, 140, 190, 612, 402, 161, 239, 952}

Returns: 1937
"BBBBBBBXBXXXBXXBAXXXBBXBXXBXBBXXBBBBBBXXXBXBXXXABBXXBXXXXBBXBBXBXXXBBXXXBBABBXXXXBXBXXBBXBXXBXBXBXX"

{167, 156, 102, 402, 615, 191, 766, 166, 431, 474, 426, 27, 524, 882, 322, 110, 913, 480, 440, 328, 251, 967, 398, 892, 409, 790, 147, 76, 166, 311, 710, 643, 602, 678, 425, 809, 120, 510, 793, 594, 657, 849, 901, 544, 1000, 367, 998, 722, 135, 825}

Returns: 1998
"AABABABBABABABAABABABABABABABABAABABBBABABABBABBAXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX"

{509, 754, 844, 512, 868, 99, 835, 59, 244, 790, 106, 862, 828, 501, 155, 233, 769, 176, 429, 327, 626, 11, 456, 415, 682, 636, 732, 433, 335, 223, 369, 949, 71, 397, 359, 344, 139, 501, 994, 640, 814, 929, 654, 507, 151, 652, 577, 643, 853, 850}

Returns: 18802
"ABAXXBABABBABAXXBXXAAXAXXXXAABXXBXXABXXXXBXAXBXXAAXBXAAAXXXBXXBAXBXXABXXXBABXXXAAAAXBXXXBXAXXXAXBXX"

{902, 277, 18, 357, 715, 26, 90, 445, 678, 576, 686, 531, 887, 132, 565, 608, 244, 118, 902, 30, 962, 453, 252, 498, 243, 470, 284, 782, 896, 601, 809, 589, 761, 676, 442, 985, 2, 820, 18, 921, 992, 73, 504, 151, 141, 434, 824, 138, 712, 905}

Returns: 13775
"ABBAXBXXAAAXBXXAXAAXXXAXXABAAAXXXXXAXAXAXXBBBAAAXXXXBBAAXXBXXAXXBBXXAXBBXXXXAAAXXBXXBABBBXXXXAXXAXX"

{556, 405, 913, 511, 390, 751, 656, 223, 716, 295, 758, 94, 310, 177, 178, 526, 179, 750, 431, 420, 568, 121, 346, 409, 448, 710, 303, 249, 117, 836, 828, 945, 998, 368, 934, 332, 81, 692, 355, 423, 587, 552, 152, 411, 118, 952, 156, 195, 506, 357}

Returns: 11439
"AABXAXXXAAAABXAABXXABXAXXABXXXBBXXAXXBABBXXBAXXBBBXBXXBBXXBXXABXXAAXXBXXXXXBAXXXBBABXXXBBXXBXAAXXXX"

{924, 135, 15, 561, 568, 225, 386, 261, 630, 854, 175, 205, 830, 422, 565, 639, 126, 583, 864, 671, 718, 87, 859, 839, 599, 297, 36, 557, 71, 435, 116, 357, 432, 621, 167, 985, 707, 228, 953, 870, 22, 239, 498, 113, 742, 730, 196, 906, 921, 785}

Returns: 16647
"BBABBBXXABXXABXXXAXXAXAXXAAXBBXXXXBAAABAXABXXBBXXXAXBXBXXBXXABXAXAXXBAXXAXXXBBABAXXBXXXBABXXXXAXAXX"

{167, 156, 102, 402, 615, 191, 766, 166, 431, 474, 426, 27, 524, 882, 322, 110, 913, 480, 440, 328, 251, 967, 398, 892, 409, 790, 147, 76, 166, 311, 710, 643, 602, 678, 425, 809, 120, 510, 793, 594, 657, 849, 901, 544, 1000, 367, 998, 722, 135, 825}

Returns: 9036
"BAAXABXBXXBABAXABBXXXXAXBXXABXXBXXABXAXAXXXBBXAXAXXBBAAXXBXABXXBXXBXABBXXXXABXXAAXXAAXAABXXXXXBXBXX"

{89, 627, 739, 330, 988, 748, 99, 202, 586, 164, 897, 731, 916, 170, 590, 279, 282, 133, 308, 744, 61, 339, 49, 828, 908, 603, 757, 359, 579, 167, 129, 513, 377, 39, 696, 426, 456, 337, 642, 996, 323, 61, 911, 432, 555, 377, 817, 27, 210, 136}

Returns: 12318
"BABXXBXXBAABAAXXAXXXBAAAXXBAXXBABXXXAXXBBXXXBAXXBXAXXBABXXBAXXBBBXXXBBAXAXXAXXAAXXXBBXXXABAXXXAXAXX"

{143, 879, 863, 345, 543, 16, 227, 61, 490, 500, 587, 265, 178, 234, 992, 603, 685, 464, 973, 838, 794, 543, 328, 150, 29, 647, 471, 92, 417, 478, 488, 604, 85, 723, 929, 646, 234, 407, 90, 394, 396, 199, 23, 656, 383, 347, 603, 502, 780, 546}

Returns: 10405
"ABAAAXXXBAXXAXXAAAXBXBXXBBAXAXAXXXAAXBAXBXXAXXABXXBXXBBXBXXBXAXBXXBABXBXXXABAXBXXBAXXXBBAXXAAXXBXXX"

{684, 318, 821, 40, 282, 369, 197, 316, 543, 930, 52, 525, 423, 714, 393, 360, 329, 463, 285, 123, 905, 881, 382, 954, 535, 708, 490, 120, 423, 175, 218, 571, 234, 884, 602, 849, 790, 113, 726, 234, 945, 903, 886, 974, 227, 233, 989, 353, 893, 414}

Returns: 12604
"AABBBXXBABXXAXXBAXBXXAXXBAXAXXAAXXXBXBXXAABXXBBXXBXAAXXXBABBXXAAXAXXBXBBAXXBXXXAAAAAXXAXXAXXXAXAXXX"

{639, 259, 140, 539, 562, 885, 371, 731, 886, 353, 760, 968, 911, 209, 893, 63, 667, 211, 106, 870, 127, 940, 513, 401, 463, 74, 362, 54, 486, 454, 168, 878, 674, 546, 492, 461, 883, 439, 657, 675, 397, 67, 271, 12, 293, 72, 940, 509, 241, 648}

Returns: 17174
"BAABXXBBXXXAAXXBABAXXXAXBXBXXXBBBAABXXXXABXAXXAXXAXBBBXXAXBXXXAABXXABBBAXXXXXAXAXXBBBXXAXBXBXXABXXX"

{400, 96, 154, 760, 311, 498, 454, 3, 492, 914, 329, 49, 428, 837, 397, 543, 545, 392, 378, 713, 297, 557, 399, 860, 654, 411, 401, 929, 335, 999, 187, 991, 902, 287, 583, 561, 83, 152, 172, 784, 346, 821, 225, 217, 88, 92, 529, 586, 715, 508}

Returns: 7253
"ABABAAXBXAXXBXBAAAXXBXBXAXXBXXBXXXABXAXXABXXBBXXXAAXAXXBBAXXBXBXXAAABXXBBAXXXBXXXABAXXBXXABXXXABXXX"

{766, 806, 843, 503, 757, 488, 34, 770, 264, 433, 794, 412, 463, 967, 817, 801, 565, 95, 779, 116, 164, 407, 285, 235, 751, 380, 558, 331, 377, 55, 687, 589, 244, 557, 389, 441, 235, 943, 245, 186, 996, 255, 567, 427, 32, 413, 38, 312, 926, 57}

Returns: 11716
"BXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXBXAXX"

{513, 244, 194, 777, 59, 897, 692, 791, 758, 668, 816, 204, 712, 909, 783, 489, 207, 693, 94, 601, 410, 2, 225, 455, 841, 69, 240, 960, 162, 971, 868, 882, 838, 202, 131, 365, 803, 149, 210, 42, 91, 760, 411, 617, 21, 15, 464, 79, 970, 229}

Returns: 1941
"BXBXBXAXBXBXBXBXBXBXBXBXBXBXAXBXBXBXBXBXBXBXBXBXBXAXBXAXBXBXBXBXBXBXBXBXBXAXBXBXBXBXBXAXBXBXBXBXAXX"

{838, 511, 403, 305, 493, 976, 33, 478, 647, 960, 494, 354, 991, 168, 210, 967, 628, 464, 496, 545, 534, 459, 474, 47, 73, 119, 681, 845, 415, 910, 450, 513, 115, 656, 197, 141, 195, 29, 280, 940, 565, 965, 756, 200, 422, 762, 887, 892, 750, 465}

Returns: 7601
"AXAXAAAABXAXXBXAXXABXAXXBXAXXAABXAXXBXAXXABXAXXBXAXXAAABXAXXBXAXXABXAXXBXAXXAABXAXXBXAXXABXAXXBXAXX"

{876, 280, 48, 138, 277, 707, 435, 201, 734, 439, 96, 837, 700, 286, 324, 546, 212, 269, 330, 332, 601, 377, 464, 343, 748, 243, 49, 252, 236, 128, 371, 684, 590, 726, 977, 961, 190, 628, 147, 851, 135, 42, 221, 161, 695, 521, 101, 449, 287, 780}

Returns: 18677
"BAXAXAAAAAXXAXXAAXXAXXAAAXXAXXAAXXAXXAAAXXAXXAAXXAXXAAAAAXXAXXAAXXAXXAAAXXAXXAAXXAXXAAAXXAXXAAXXAXX"

{876, 280, 48, 138, 277, 707, 435, 201, 734, 439, 96, 837, 700, 286, 324, 546, 212, 269, 330, 332, 601, 377, 464, 343, 748, 243, 49, 252, 236, 128, 371, 684, 590, 726, 977, 961, 190, 628, 147, 851, 135, 42, 221, 161, 695, 521, 101, 449, 287, 780}

Returns: 16372
"BAAAAAAAAAAXAAXAXAAXXAXXXAXXAAAAXXAXXXAXXAAAAAAAXXXXAAAAXXXAXXAXXAAXXAXXAAXXAAXXAXAXXAAAXAXAXXAAAAAAXXXAAXXXXAXXXAAAXXXAXAXXAAAAAAXAXXXAXXAAXXAXXAAAAXAAXXXAAAAAXXAXXXAXXAXXAAAAAXXAXXAXAAXXXAXAAAXXAXXAXAXXAXXXAAAXAXXXXAAAAXAAAXXXXXAAAAXXAAXXAAXXAAXXXAAXXAAAAAXXAXXAAAXXXXAXAXXAXAXAXXXAAAXAXAXAXXAAAXXAXAAAXXXAXXAAAXXXAAXXXAAXXAXXAAAXXAXAXXAXAAAXXAAXXXAAXAXXXAAAAAAAXXAAXXAXXAAAXXAXXXAXAAAAAXXXAAAXAXXXAAXXAXAXXAAAAAXXXAAXXAXXAXXXAAAAAXXXAAXXXAAAAXXXXAXAAXXXAXXAAXAAAXAXXAXXAXAAXXAAXAXAXXXAAAAAXXXAAAAXXAXXAAAXXAXAXAXXXAAXXAXXAAAXAXXAAXXAXAXXAAAAXAXXAAXAXXAAAAAXXXAXAXXXAAXXXXAAXXAXAAAXXXXAAAAAAXXAXXAAXXAAAXXAXAXXAAAXAXAXAXXXAXXAAAAXXXAAAAAXAXXXAXXAAXAXAXXAXXAAAXAXXXXAAXAAXAXXAXXAXXAAAXAAAAXXXXXXAXXAAAAAAXAXXXAAXXAAAXXAXAAAXXXAXAAXXXXAAAXAAAXAXAXXAAAXAAXXAXXAXXAXXAAAAXAXXXAXXXAAAXXAAAXXAAXXXAAXAAAAXXXXXAAAXAXXXAXXAAXAXAXXXAAXAXXAAAXXAXXAXXAAXAXXAXAAXXAXAXXAAAXAAAXXXXAAXXAXXAAXAAAXXXXAAAXXAAXXXAAAXXAXXXAAAAXAAAXXXAXAAXAAXXAXXAAAXXXAAXAXAXXXAAAXXAAAXXAXXXAXAXXAXAAAAAAXXXAXXAAXAXAXXAAXAXAXXAAXAAXXXAAAAAXXXAXAXXXXAAAAAXXAAXXXAAXAXXAXXAXXAAXXAXXAAAAXAXXXAAXXAXXAXAXAXXAAAAXXXAAXXXAAXXAXAAAXXXAXXAAAAAAAAAAXXAXXXAXXAAAAXXXXAXXAAXAXXAXXAAAXXAAXAAXXXAXXAAXXAAXXAXAXXAAAAXXXAXAXXAAAXXXAXXAAAAAXXAXAXXAAXAXAAXXXAAXXXAXAXXAXAAXXXAAAAAXAAXXAXAXAXXAAXAAXXXAAXXXXAAAAAXAXAXXXXAXAAAAAXXAXXXXAAXXAXXAAAAXXAXAAXXXAAXAXXAAAXAXXXAXXAAAAAXAAXXXAAAXXXAXAXXAXAAAXXAXXAXXAAXAXXAAXAXAAXXXAXXAAAAAXXAXAXXAXXAAAAXXAXXAXXXAAAAAXAXXXXXAAXAAXAXXAAXAXXXAXAAXAXXXAAAAXXAXXAAXAXXAAXXAAXAXXAXXAXAXAXXAAAAAAAXXAAXXXAXAAXAAXXXXAAXAAXAXAAXXXAXXAAXXAXAXXAXXAAAXAXXAAAAXXXAXAXAXXXAAXXXAAAXXAXXAAAXXAAXXAAAAXXAXAAXXAXXAXXAAXAAXXAXXAAXAXAXXAAXAXXAAAXXAAXXXAXXAXAAXAXXAAXXAAXXAXXAAAAAAAXAAXXXAAXAAXXAXAXXXAAAXXAXAAXXAXAXXAXXAAXXXAAAXXAAAAXXAAAXXAXXAXXAAXAXXAXXAXAAXXAXXAAAXAXXAAXXAXXAAAAXAXXAAXAXXAXAAXXXXAAAAAXXAAAXXXXAXXXAXAXXAAAXXXAAAXXXAXAXAXXAAAAAAXXAXXAXXAAAAAAAXXAXXAAXXXAXXAAAXXAAXXXXAAXAXXXAAAXAXAXXXAXXAAAAAAAAAXXAXXXAXAAAAAXXXAXAXXAXAAAXXXAXXXAAXXAAXXAXXAAAXXAXAXAAXXXAAXAXXXAAAAAXXXAXXXAXAXXAAXAAXXXAXXAAXXAAXXAXXAAAXXXAXXAAAAAAAAAAXAAXAXAAXXAXXXAXXAAAAXXAXXXAXXAAAAAAAXXXXAAAAXXXAXXAXXAAXXAXXAAXXAAXXAXAXXAAAXAXAXXAAAAAAXXXAAXXXXAXXXAAAXXXAXAXXAAAAAAXAXXXAXXAAXXAXXAAAAXAAXXXAAAAAXXAXXXAXXAXXAAAAAXXAXXAXAAXXXAXAAAXXAXXAXAXXAXXXAAAXAXXXXAAAAXAAAXXXXXAAAAXXAAXXAAXXAAXXXAAXXAAAAAXXAXXAAAXXXXAXAXXAXAXAXXXAAAXAXAXAXXAAAXXAXAAAXXXAXXAAAXXXAAXXXAAXXAXXAAAXXAXAXXAXAAAXXAAXXXAAXAXXXAAAAAAAXXAAXXAXXAAAXXAXXXAXAAAAAXXXAAAXAXXXAAXXAXAXXAAAAAXXXAAXXAXXAXXXAAAAAXXXAAXXXAAAAXXXXAXAAXXXAXXAAXAAAXAXXAXXAXAAXXAAXAXAXXXAAAAAXXXAAAAXXAXXAAAXXAXAXAXXXAAXXAXXAAAXAXXAAXXAXAXXAAAAXAXXAAXAXXAAAAAXXXAXAXXXAAXXXXAAXXAXAAAXXXXAAAAAAXXAXXAAXXAAAXXAXAXXAAAXAXAXAXXXAXXAAAAXXXAAAAAXAXXXAXXAAXAXAXXAXXAAAXAXXXXAAXAAXAXXAXXAXXAAAXAAAAXXXXXXAXXAAAAAAXAXXXAAXXAAAXXAXAAAXXXAXAAXXXXAAAXAAAXAXAXXAAAXAAXXAXXAXXAXXAAAAXAXXXAXXXAAAXXAAAXXAAXXXAAXAAAAXXXXXAAAXAXXXAXXAAXAXAXXXAAXAXXAAAXXAXXAXXAAXAXXAXAAXXAXAXXAAAXAAAXXXXAAXXAXXAAXAAAXXXXAAAXXAAXXXAAAXXAXXXAAAAXAAAXXXAXAAXAAXXAXXAAAXXXAAXAXAXXXAAAXXAAAXXAXXXAXAXXAXAAAAAAXXXAXXAAXAXAXXAAXAXAXXAAXAAXXXAAAAAXXXAXAXXXXAAAAAXXAAXXXAAXAXXAXXAXXAAXXAXXAAAAXAXXXAAXXAXXAXAXAXXAAAAXXXAAXXXAAXXAXAAAXXXAXXAAAAAAAAAAXXAXXXAXXAAAAXXXXAXXAAXAXXAXXAAAXXAAXAAXXXAXXAAXXAAXXAXAXXAAAAXXXAXAXXAAAXXXAXXAAAAAXXAXAXXAAXAXAAXXXAAXXXAXAXXAXAAXXXAAAAAXAAXXAXAXAXXAAXAAXXXAAXXXXAAAAAXAXAXXXXAXAAAAAXXAXXXXAAXXAXXAAAAXXAXAAXXXAAXAXXAAAXAXXXAXXAAAAAXAAXXXAAAXXXAXAXXAXAAAXXAXXAXXAAXAXXAAXAXAAXXXAXXAAAAAXXAXAXXAXXAAAAXXAXXAXXXAAAAAXAXXXXXAAXAAXAXXAAXAXXXAXAAXAXXXAAAAXXAXXAAXAXXAAXXAAXAXXAXXAXAXAXXAAAAAAAXXAAXXXAXAAXAAXXXXAAXAAXAXAAXXXAXXAAXXAXAXXAXXAAAXAXXAAAAXXXAXAXAXXXAAXXXAAAXXAXXAAAXXAAXXAAAAXXAXAAXXAXXAXXAAXAAXXAXXAAXAXAXXAAXAXXAAAXXAAXXXAXXAXAAXAXXAAXXAAXXAXXAAAAAAAXAAXXXAAXAAXXAXAXXXAAAXXAXAAXXAXAXXAXXAAXXXAAAXXAAAAXXAAAXXAXXAXXAAXAXXAXXAXAAXXAXXAAAXAXXAAXXAXXAAAAXAXXAAXAXXAXAAXXXXAAAAAXXAAAXXXXAXXXAXAXXAAAXXXAAAXXXAXAXAXXAAAAAAXXAXXAXXAAAAAAAXXAXXAAXXXAXXAAAXXAAXXXXAAXAXXXAAAXAXAXXXAXXAAAAAAAAAXXAXXXAXAAAAAXXXAXAXXAXAAAXXXAXXXAAXXAAXXAXXAAAXXAXAXAAXXXAAXAXXXAAAAAXXXAXXXAXAXXAAXAAXXXAXXAAXXAAXXAXXAAAXXXAXX"

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22799, 17867, 13548, 18748, 8740, 25870, 17882, 12167, 29758, 28431, 31017, 10985, 9846, 16020, 24149, 28019, 16610, 8298, 8135, 1414, 12217, 18940, 28430, 10491, 12728, 7716, 1644, 16546, 1476, 13376, 25492, 18414, 7120, 21897, 8114, 21742, 19713, 25760, 2220, 23679, 24336, 25450, 24487, 1729, 22257, 2846, 24782, 10183, 24242, 10908, 30798, 12435, 17061, 16129, 18597, 11329, 18881, 31352, 26141, 7554, 27974, 11603, 27539, 20556, 13216, 17754, 19581, 29648, 12942, 22370, 2092, 4269, 31875, 26402, 8782, 12131, 32077, 24899, 1206, 17162, 2548, 31670, 11872, 11332, 10213, 28746, 21423, 26736, 20303, 17790, 21498, 16672, 11470, 6547, 10311, 4045, 9799, 9190, 12118, 27082, 10003, 24701, 31458, 18551, 30559, 6624, 547, 439, 8914, 17706, 23959, 9380, 12913, 25695, 28674, 3713, 15808, 25344, 8372, 19439, 5930, 8413, 2826, 6756, 6051, 7979, 18231, 7642, 19852, 982, 12356, 7876, 4823, 26393, 19286, 25670, 20075, 8011, 13360, 32421, 25802, 32508, 13048, 5629, 7153, 14656, 24382, 4402, 30336, 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8223, 26541, 14818, 19225, 14498, 8816, 19447, 24570, 25049, 4983, 17952, 20490, 9036, 4730, 5695, 21772, 32406, 10514, 25285, 16106, 12459, 8967, 9867, 14312, 27907, 6993, 19451, 23021, 6196, 3387, 9732, 7613, 13127, 29628, 2448, 29479, 25369, 17228, 12297, 10625, 1794, 13815, 8988, 15441, 8885, 7600, 5565, 22605, 8039, 12519, 11398, 10292, 1374, 1717}

Returns: 24597682

Big tests begin.
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30503, 16820, 25743, 7785, 19404, 11331, 9387, 13052, 4761, 16515, 19257, 15788, 32447, 16817, 14353, 25151, 6906, 28005, 22778, 9135, 14698, 31768, 14365, 2257, 5535, 2788, 20153, 29752, 23795, 21132, 28697, 13144, 4380, 20412, 24771, 2279, 30977, 16530, 28147, 13961, 5069, 7004, 6471, 18859, 16962, 25252, 11452, 12207, 6737, 31338, 19161, 21834, 6375, 25264, 21803, 9737, 31548, 4848, 31198, 7971, 13465, 27159, 5871, 23453, 21087, 27752, 32082, 24496, 8884, 24320, 3842, 12664, 20243, 20993, 13801, 1098, 10828, 18055, 16896, 11847, 8140, 28894, 29367, 7217, 10271, 27378, 12183, 14206, 26291, 27398, 13350, 29355, 21727, 21161, 13067, 28627, 7715, 10726, 13426, 30080, 4530, 23228, 13234, 9665, 19757, 16590, 16429, 11133, 1202, 24922, 9592, 20998, 3093, 24431, 24253, 15089, 1389, 91, 9766, 22739, 21603, 51, 22886, 22456, 7666, 10982, 15251, 8102, 15119, 13338, 16531, 26637, 12256, 28369, 15156, 31297, 8835, 20957, 32030, 31329, 17590, 8652, 3830, 20515, 28879, 10147, 10319, 10180, 4648, 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23733, 11375, 6444, 19751, 22743, 15445, 30237, 1017, 12064, 24103, 29581, 28696, 6062, 3835, 19926, 5676, 5350, 7735, 3002, 6398, 22846, 25607, 5635, 10810, 19328, 30876, 32364, 17861, 9423, 27172, 11710, 14160, 12261, 3833, 15674, 7726, 3486, 18456, 25442, 8890, 18390, 31500, 22013, 4830, 12494, 24624, 24999, 27869, 8478, 13472, 4987, 27702, 32211, 17025, 24856, 29662, 4769, 2311, 26100, 9791, 23000, 13461, 2804, 16000, 147, 25126, 19514, 3847, 31538, 12779, 4415, 18748, 15883, 27957, 19233, 29328, 28253, 17302, 19774, 10943, 8069, 25411, 5121, 10065, 28789, 28861, 28156, 2151, 7521, 8625, 15159, 27316, 22971, 32540, 14024, 23242, 1634, 4786, 32420, 3479, 6167, 897, 19893, 559, 16944, 26066, 7213, 28876, 14736, 16976, 6681, 11026, 9174, 14393, 20888, 1749, 24575, 13071, 677, 19525, 20017, 21558, 26167, 11703, 24987, 24053, 15178, 7375, 31144, 21780, 19030, 31661, 32065, 7406, 24858, 14764, 21673, 6600, 15256, 15013, 19809, 32353, 7288, 10465, 8650, 9746, 12251, 25487, 22136, 4127, 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16407, 15037, 10023, 20931, 13200, 5560, 4931, 16010, 6965, 6383, 10078, 1127, 14011, 23588, 11435, 22272, 10675, 3130, 9654, 25405, 25894, 26272, 26752, 15400, 12488, 20944, 18669, 4135, 17206, 9346, 4901, 18898, 12156, 27936, 1339, 13058, 19418, 19835, 3085, 20010, 30152, 16060, 18283, 23019, 22327, 20893, 6523, 13026, 4378, 16089, 17755, 1989, 28453, 23520, 24841, 5038, 18384, 7808, 21174, 29616, 25761, 12324, 25798, 27342, 19552, 4778, 3992, 21534, 5262, 10599, 10191, 30569, 25367, 8143, 31953, 13563, 17627, 14930, 16408, 15346, 8659, 8471, 30400, 22772, 7244, 16346, 18980, 21335, 27322, 18956, 16473, 21144, 26268, 3003, 29837, 32380, 27825, 12922, 21140, 30166, 32478, 26283, 12604, 13842, 31398, 29076, 17656, 22637, 23652, 20043, 5287, 22539, 24233, 23521, 26292, 5466, 11987, 7697, 26440, 10491, 9547, 24528, 7998, 14856, 22597, 8621, 18764, 13919, 13571, 21102, 11609, 17792, 31495, 13934, 11899, 19707, 3378, 10839, 26300, 11907, 30461, 14868, 26478, 22257, 20328, 18417, 21438, 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14054, 22595, 29873, 12275, 6460, 26151, 5952, 26067, 6194, 7101, 8792, 30529, 10501, 557, 27534, 20558, 273, 19633, 8004, 22949, 23778, 8697, 29819, 11539, 29348, 5327, 21224, 29511, 26843, 4087, 8009, 20182, 9557, 14681, 30850, 2140, 4194, 15298, 28859, 26672, 19367, 27238, 24756, 14795, 29363, 21214, 19303, 10659, 16021, 6968, 29590, 7577, 19565, 9932, 23248, 20046, 752, 8603, 16516, 18243, 19463, 26725, 29242, 23326, 25531, 15549, 25368, 32270, 23686, 26307, 31758, 29013, 15991, 10973, 6713, 24236, 2355, 16646, 20951, 5946, 6207, 28796, 18027, 12934, 5488, 25653, 2507, 14857, 579, 10980, 18562, 11567, 16711, 11814, 8391, 16148, 23500, 20540, 16085, 8614, 19708, 6890, 2365, 7712, 15818, 18208, 23601, 25649, 10052, 31426, 24657, 11514, 13998, 21371, 29836, 31581, 30606, 9470, 31445, 21070, 9882, 10368, 14748, 18508, 739, 22813, 22179, 26342, 16205, 28535, 29709, 9086, 10306, 16544, 9144, 20903, 1082, 9420, 19623, 24847, 17884, 8084, 28544, 18479, 1464, 21389, 32560, 915, 19579, 27581, 27507, 12687, 27974, 22196, 5495, 14842, 29755, 12171, 23314, 11528, 12978, 900, 11853, 20009, 26139, 28450, 31533, 21659, 14032, 20259, 27143, 19375, 13805, 5894, 27635, 15727, 28875, 27518, 28803, 2554, 30111, 15702, 18797, 12774, 28397, 15988, 15933, 11571, 10510, 24631, 27582, 25238, 27763, 5026, 24561, 17628, 19010, 10381, 24932, 19092, 4866, 12034, 8339, 19169, 8168, 29231, 24502, 8376, 23774, 5909, 6122, 21684, 14186, 32568, 26219, 2475, 5971, 16977, 22246, 25640, 30795, 29017, 27196, 1564, 18129, 4068, 31364, 29392, 1110, 14256, 8271, 28446, 30367, 6782, 32047, 12769, 26218, 22048, 3962, 30890, 12628, 20180, 21685, 13050, 976, 13514, 17435, 18783, 4638, 6061, 27464, 30862, 30719, 688, 29056, 30874, 10272, 19646, 63, 4317, 28686, 10253, 9548, 3079, 4571, 24126, 20828, 30622, 11451, 25005, 8746, 28197, 8073, 4189, 4491, 24739, 11615, 17229, 20111, 16726, 30790, 32474, 7526, 19863, 29045, 8379, 21492, 18576, 2067, 23539, 10698, 8658, 14261, 32695, 26797, 24586, 17322, 23122, 13744, 22977, 20097, 794, 19374, 8710, 9527, 1453, 28701, 28549, 20117, 3387, 8892, 32528, 8186, 13881, 30841, 3930, 10330, 7569, 31865, 26247, 3259, 17145, 25570, 15279, 13405, 31485, 16979, 21286, 729, 18727, 16958, 20070, 29007, 26978, 31219, 19541, 15776, 4703, 13423, 24262, 6621, 14136, 15477, 31041, 28671, 3155, 24033, 15623, 3544, 21386, 4408, 18001, 19785, 13192, 1411, 24281, 3254, 7798, 31838, 14747, 2999, 3032, 11340, 7133, 16, 2481, 7501, 5997, 30436, 26862, 13235, 14890, 22053, 2305, 23857, 22213, 4687, 1741, 5173, 19145, 27734, 21186, 11639, 26073, 19420, 29257, 9170, 22073, 2472, 28770, 22100, 16017, 15956, 16779, 27793, 22765, 26949, 7909, 21820, 19207, 993, 7314, 4856, 4041, 21755, 32609, 19307, 6670, 6290, 5549, 19604, 5289, 6018, 31839, 25512, 19677, 20994, 26231, 19162, 20508, 8711, 23644, 23950, 522, 23477, 7070, 2774, 12100, 12007, 6911, 10770, 31718, 684, 19784, 5534, 13644, 22690, 25137, 15036, 8616, 27309, 26610, 12818, 27928, 4677, 30898, 31100, 31002, 30895, 24223, 17948, 14955, 14620, 22113, 28152, 26284, 21783, 31607, 483, 22182, 25144, 7206, 10714, 6642, 23297, 3323, 23563}

Returns: 32626191
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12754, 23917, 23720, 2300, 13666, 19903, 22254, 958, 9893, 24226, 4354, 9211, 23669, 20417, 3297, 2279, 20819, 32389, 28606, 19731, 4038, 11914, 30935, 21652, 17950, 1327, 26395, 5486, 14814, 31551, 13372, 13915, 31598, 4561, 1540, 2760, 528, 20076, 18924, 4129, 17429, 17007, 12011, 20558, 8017}

Returns: 3009248
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22511, 1744, 24676, 17647, 6057, 25053, 12748, 5453, 5134, 29296, 1028, 21260, 31964, 5158, 17356, 31037, 23793, 29227, 19497, 8476, 10665, 10565, 4190, 23654, 19220, 8728, 18901, 19056, 9880, 26601, 5007, 12032, 31219, 6135, 32064, 7063, 29040, 19190, 9251, 17044, 6085, 15187, 2361, 20486, 7061, 1202, 8939, 17599, 3641, 30619, 12786, 1962, 32704, 21872, 23924, 8542, 7220, 2211, 23151, 22002, 11807, 11557, 8795, 4371, 10830, 32034, 32011, 22613, 10453, 30187, 25045, 14279, 28500, 18740, 29682, 23754, 28792, 28287, 7719, 21283, 25796, 26840, 4517, 6222, 24721, 5315, 11311, 30997, 2899, 4723, 2426, 23583, 8252, 17369, 26194, 32618, 31051, 10266, 17034, 18964, 3221, 24746, 23758, 23973, 8205, 23552, 26832, 25046, 13338, 29241, 4677, 30547, 15176, 3584, 4670, 18367, 31294, 23729, 11958, 9200, 18878, 22631, 31133, 1557, 18769, 23267, 5326, 23004, 13875, 21215, 2867, 3290, 18156, 24274, 31552, 5703, 24108, 15807, 12983, 11371, 14953, 20558, 31598, 28243, 18634, 12322, 9554, 21960, 8004, 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9350, 23584, 16547, 3924, 17257, 3539, 12768, 21576, 14358, 1930, 21701, 30140, 1680, 4059, 15322, 11947, 18046, 6692, 30929, 4668, 661, 9455, 10271, 21128, 8016, 23837, 24251, 29311, 20557, 703, 583, 4041, 4324, 26338, 5734, 31504, 7266, 4011, 8316, 7350, 4085, 25255, 30902, 4551, 25544, 18780, 11339, 5420, 32622, 1060, 21761, 2338, 28036, 7995, 2546, 13547, 29330, 15894, 19856, 2755, 12534, 7399, 2582, 5494, 2238, 1058, 4592, 10627, 7425, 23633, 14261, 25986, 14432, 5737, 30226, 12472, 24339, 14220, 18483, 14835, 25541, 27275, 1335, 13609, 16037, 19114, 4065, 7260, 23226, 11920, 30656, 19830, 25325, 8049, 11407, 22077, 15603, 13950, 30218, 21326, 18043, 28666, 16025, 13534, 8538, 19701, 6393, 9724, 27765, 29360, 11385, 19809, 9419, 16726, 21201, 28276, 23985, 30971, 7628, 30270, 22375, 30433, 2113, 6827, 3581, 31168, 21760, 22682, 31469, 1275, 27428, 25081, 11803, 9605, 8901, 23486, 19735, 22765, 14268, 28300, 467, 19594, 7092, 10613, 13030, 20773, 3747, 30116, 27040, 15457, 31475, 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890, 7208, 22024, 30951, 25721, 26946, 28169, 479, 24779, 12782, 1484, 30864, 16849, 11263, 30342, 9966, 9262, 1459, 1865, 14920, 15224, 25878, 11680, 23812, 26690, 7420, 21341, 27321, 3224, 26837, 24965, 5740, 1343, 4316, 9137, 20575, 18495, 7826, 31412, 15915, 19615, 13675, 8830, 30990, 8048, 25543, 1670, 18957, 35, 9682, 16159, 28064, 26257, 21329, 14312, 10853, 18444, 32749, 5434, 4146, 22945, 19841, 17350, 25589, 20579, 25179, 11292, 32655, 9215, 1923, 8943, 5497, 27488, 11595, 30744, 5043, 975, 1507, 30429, 13053, 13151, 11816, 15220, 1610, 19080, 22717, 451, 7794, 2322, 12125, 20842, 5671, 18996, 24175, 11011, 6698, 15358, 32475, 6824, 16830, 9716, 21021, 21430, 19294, 764, 1176, 14801, 4523, 29306, 27180, 31529, 19624, 17593, 26890, 8187, 29481, 9869, 13146, 20617, 12342, 19376, 26927, 8860, 23432, 25983, 21476, 9545, 2442, 2284, 9736, 24027, 9762, 26239, 24705, 27930, 5019, 18084, 22423, 3464, 15498, 23414, 24460, 17064, 21870, 2621, 23, 3751, 19408, 28213, 31764, 11073, 11151, 377, 18915, 28277, 20928, 5516, 7949, 27149, 24559, 4435, 15611, 20409, 5839, 16972, 388, 29439, 29848, 863, 6978, 18980, 25105, 27123, 23804, 23875, 9210, 15903, 5632, 2013, 16505, 15356, 10657, 3993, 8870, 25998, 2012, 592, 18312, 4114, 3087, 31930, 3209, 18589, 24331, 21552, 16934, 27649, 16234, 3510, 22251, 17976, 11935, 19300, 27995, 28692, 31164, 1085, 6014, 2521, 8482, 30764, 9359, 12878, 6667, 4817, 12220, 15799, 13890, 13088, 24374, 12371, 17552, 6665, 10303, 16937, 5495, 11352, 6533, 20485, 14371, 3034, 8110, 23997, 926, 19393, 30772, 3512, 16451, 17481, 18035, 12721, 1397, 18844, 32512, 22713, 8081, 7485, 32379, 4640, 5887, 22314, 16324, 2642, 24199, 17278, 14403, 21928, 9719, 28045, 12528, 24391, 21998, 27491, 886, 9171, 30008, 23161, 30091, 23814, 28910, 14556, 28179, 8093, 28385, 3870, 5950, 19334, 29478, 28556, 7798, 27540, 25621, 21173, 22367, 3312, 16900, 31, 20919, 3432, 3158, 28472, 1665, 9226, 30645, 13455, 24674, 22514, 22939, 20292, 9035, 22880, 27927, 27326, 30552, 28942, 21710, 26779, 6904, 32320, 18157, 79, 6172, 19020, 13987, 9404, 7926, 30277, 23119, 31874, 18025, 17637, 11214, 11051, 16184, 338, 25142, 9255, 25065, 18830, 27856, 32168, 32692, 11906, 19252, 25082, 24200, 20465, 2410, 11026, 13903, 29867, 18256, 23657, 4979, 29443, 20283, 28427, 17057, 32130, 32737, 9194, 10701, 10205, 3447}

Returns: 5284116
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23699, 1031, 19695, 16859, 3040, 11365, 9289, 28845, 28162, 4723, 17411, 13853, 24866, 23305, 16287, 4461, 31237, 20518, 24626, 29232, 18820, 24723, 13686, 21772, 5692, 17091, 15642, 7615, 24198, 16126, 5212, 21088, 13994, 25791, 26586, 7143, 22351, 12122, 5541, 12272, 28726, 24033, 13720, 1980, 4904, 585, 31720, 2169, 19245, 3017, 10747, 195, 13311, 20611, 382, 8042, 9662, 23142, 28082, 18294, 18661, 31571, 22278, 25960, 9853, 27774, 21739, 10691, 2193, 32024, 12772, 19659, 16097, 5163, 30172, 16269, 7130, 2501, 27325, 28191, 15814, 7000, 20286, 30505, 30785, 32609, 11261, 31908, 29164, 23624, 32461, 29154, 19045, 9863, 12369, 2767, 23670, 10767, 1994, 12406, 28812, 17127, 4397, 7879, 29547, 2327, 10617, 3991, 1313, 29636, 9543, 5864, 29752, 14236, 17826, 5227, 31024, 25717, 28442, 24131, 17965, 1584, 22292, 2316, 16108, 19684, 7012, 28956, 27899, 57, 30750, 26888, 1066, 16913, 4008, 12650, 2877, 25710, 30996, 7650, 31971, 22160, 2221, 2907, 29932, 27997, 1744, 2960, 15798, 2822, 18686, 27086, 20968, 27112, 24878, 9827, 3760, 22376, 31447, 20598, 9667, 8591, 130, 23633, 20445, 19839, 17471, 26557, 8695, 4440, 1143, 21770, 23663, 13848, 2049, 10824, 7523, 4208, 928, 28858, 4701, 31696, 30925, 10375, 27958, 3013, 29111, 9395, 8244, 26500, 16009, 25422, 9590, 967, 6123, 13803, 21906, 11991, 19147, 20052, 4476, 8938, 20829, 892, 17322, 4784, 32096, 25269, 31861, 25641, 6052, 24867, 11715, 3513, 6345, 16753, 18915, 18814, 24393, 450, 18872, 4833, 1721, 26091, 24090, 8811, 17483, 29151, 20601, 23515, 27800, 26730, 22211, 25205, 1692, 8739, 24200, 18332, 4098, 20636, 4957, 1955, 22178, 475, 9342, 18657, 2889, 30734, 3511, 4355, 29112, 10618, 25766, 20975, 631, 1318, 3755, 5397, 20954, 16560, 1325, 17256, 27030, 2207, 6717, 28389, 4947, 16901, 6255, 2659, 1159, 17317, 27081, 20950, 15215, 17877, 3014, 6777, 23804, 22796, 11202, 27103, 11260, 21171, 12308, 6484, 14237, 29714, 18549, 32509, 3457, 9234, 20660, 5563, 21008, 30279, 19372, 13074, 9005, 2676, 12234, 26749, 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14268, 18050, 11377, 27217, 15686, 6295, 23625, 22967, 27532, 11421, 1773, 23520, 15374, 7776, 20235, 21909, 23041, 8080, 17820, 25019, 19272, 23254, 30138, 32212, 31464, 9331, 25265, 24521, 18364, 7716, 11352, 22758, 27498, 21064, 19874, 27174, 19861, 2628, 10608, 28081, 5972, 25639, 22953, 31139, 6883, 27530, 29837, 24591, 25497, 14779, 15430, 28740, 538, 24858, 27840, 23886, 26830, 10178, 7099, 28096, 27794, 21868, 24351, 22705, 15789, 6289, 11663, 29701, 27909, 18127, 11584, 6126, 20883, 31886, 25868, 23473, 25108, 24547, 962, 4014, 22273, 2741, 12737, 6299, 10434, 24606, 8389, 4112, 15903, 20755, 19968, 20040, 24311, 21576, 10861, 16678, 16180, 5454, 7521, 13430, 13822, 7934, 5475, 28534, 29999, 1307, 6973, 19348, 21767, 20787, 6995, 10362, 2082, 14022, 22836, 24904, 19366, 21163, 16751, 10016, 26561, 31150, 3496, 25832, 5203, 23166, 28394, 4171, 5607, 30407, 12863, 3073, 9960, 14235, 4990, 32593, 274, 8470, 12901, 18132, 6950, 26946, 24039, 25211, 28386, 30264, 10695, 1235, 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27300, 32438, 2832, 26241, 1060, 18181, 26610, 20906, 21368, 25566, 14633, 3589, 6319, 1699, 21979, 5161, 12243, 2502, 8966, 6189, 4974, 31032, 18978, 30142, 26701, 32549, 17154, 8816, 30340, 2270, 13564, 6738, 13235, 14359, 29513, 31429, 17031, 29778, 6318, 16270, 2947, 12443, 1628, 22057, 21248, 14710, 18966, 31584, 28786, 7958}

Returns: 3633698
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27505, 14242, 10915, 29648, 30442, 16936, 20858, 17487, 28064, 32692, 9494, 20737, 11321, 9244, 27777, 23832, 24623, 455, 24598, 28880, 7390, 6768, 1848, 4179, 18139, 11560, 7748, 23002, 18824, 26010, 6339, 20246, 19173, 4243, 5093, 19918, 20905, 31170, 19755, 31689, 22204, 29027, 10734, 20985, 25410, 22489, 29354, 8873, 4807, 32204, 6034, 21233, 31533, 22047, 25162, 24312, 23760, 16721, 3237, 18257, 27589, 16815, 29709, 1743, 15972, 16328, 7206, 6811, 1283, 29474, 17582, 20611, 28421, 17195, 5800, 20373, 24852, 13426, 11449, 3821, 24746, 13847, 31442, 11979, 22742, 25473, 22799, 26601, 7229, 3662, 13791, 1291, 18527, 9360, 13158, 6871, 28187, 18230, 13343, 29159, 9077, 9416, 6854, 22301, 25240, 27736, 16757, 17974, 23063, 27829, 27661, 8866, 4728, 13281, 14807, 29331, 3315, 17093, 23147, 20565, 16247, 10532, 2513, 1501, 4590, 7630, 6119, 1700, 16578, 26390, 32514, 15286, 18592, 10117, 19928, 22021, 16252, 25296, 26782, 6916, 16085, 20232, 25965, 24433, 17210, 17937, 2026, 9330, 9485, 27477, 8230, 2788, 3719, 22969, 20675, 4336, 4860, 28113, 89, 19935, 19296, 79, 31255, 8239, 7179, 9410, 430, 486, 1977, 16509, 24170, 30502, 3540, 8610, 19202, 503, 24463, 11347, 3728, 25259, 14488, 14344, 3647, 17780, 3063, 26365, 12651, 18960, 14592, 8067, 30767, 5886, 6091, 13990, 2939, 10725, 11790, 4966, 12632, 17221, 2339, 18373, 4511, 16258, 32117, 28412, 20919, 5955, 602, 16148, 15189, 27126, 985, 21774, 5190, 20421, 15558, 13943, 27059, 1989, 31791, 4413, 8355, 22129, 23031, 11713, 28609, 10328, 18221, 19730, 25359, 15880, 25788, 24184, 10667, 22792, 10626, 10261, 31047, 22675, 8919, 14688, 24056, 7941, 22794, 22120, 13116, 22635, 18055, 28963, 10417, 22871, 2345, 7506, 31530, 17181, 30081, 29583, 24036, 17625, 25547, 31352, 20248, 28083, 18720, 11023, 6861, 29793, 28909, 5217, 32752, 6126, 27299, 25190, 11174, 32186, 32688, 19497, 32481, 12483, 17839, 21042, 9762, 8411, 19966, 11230, 27353, 19146, 8255, 7219, 24267, 29092, 13340, 8460, 16865, 23144, 18932, 4443, 29875, 27377, 152, 2797, 11458, 23731, 17600, 15469, 16286, 19026, 13455, 16704, 14755, 13062, 9576, 24589, 12911, 15364, 4733, 17818, 27803, 19137, 14911, 929, 32476, 27197, 10064, 28450, 25725, 36, 21369, 10303, 10310, 30489, 14493, 23055, 13293, 23332, 14524, 4394, 13165, 3180, 15052, 22917, 15868, 21535, 30414, 4204, 27588, 6545, 26456, 29801, 13879, 4412, 19597, 27751, 12963, 23814, 23373, 18967, 23302, 450, 27817, 2963, 22819, 22008, 16794, 24642, 2005, 19945, 12018, 29947, 7844, 18638, 17810, 19309, 15254, 17249, 19166, 8382, 16199, 5022, 5486, 10098, 12092, 4555, 8710, 6287, 4725, 21174, 29897, 24574, 31809, 22334, 6825, 26677, 14679, 21780, 24354, 18707, 21281, 31939, 2600, 23899, 24814, 14942, 1925, 16861, 25305, 12168, 7041, 32437, 18476, 6467, 18814, 2681, 24051, 15860, 30106, 21212, 19688, 3582, 20218, 2430, 757, 9580, 13065, 22005, 3230, 16971, 11385, 22086, 18596, 6843, 29525, 23958, 24726, 30842, 23441, 18869, 12799, 13878, 12993, 29269, 8342, 3004, 32317, 255, 5075, 11365, 10224, 16002, 28193, 10612, 19890, 11908, 29399, 17204, 17676, 17900, 21130, 22436, 32104, 2836, 19089, 25163, 10622, 13808, 743, 15306, 3518, 20026, 9518, 25802, 28540, 28167, 25844, 32051, 32592, 4765, 23862, 15262, 17085, 28552, 26402, 30990, 16656, 30699, 20001, 9434, 30603, 4629, 1301, 13550, 22723, 10580, 16607, 26164, 23367, 4622, 7205, 24908, 23426, 10322, 6019, 21731, 12059, 4062, 27651, 13883, 28111, 11727, 21862, 23206, 16000, 8914, 17965, 11093, 3489, 29473, 30302, 17791, 26078, 16751, 1762, 17285, 13474, 8886, 5635, 27181, 28521, 30393, 1839, 24656, 31821, 7524, 22890, 3116, 12634, 29602, 6340, 8478, 11716, 12258, 9665, 12842, 23249, 28523, 23902, 18927, 29682, 11760, 591, 16090, 23091, 23397, 19339, 6043, 14038, 1041, 15370, 5077, 12603, 16099, 10189, 11546, 22025, 2592, 9238, 15734, 23999, 4380, 5921, 11621, 623, 5757, 28373, 23904, 26926, 27242, 14323, 24077, 30796, 6617, 25222, 17911, 21225, 30509, 5702, 3521, 32685, 23744, 14645, 25653, 4039, 32334, 14899, 7816, 24105, 31574, 27085, 32223, 20213, 28867, 21847, 28177, 9010, 19916, 22586, 8623, 13508, 28697, 22414, 12098, 11931, 19239, 23532, 5418, 32125, 16049, 13083, 448, 22103, 2670, 15937, 16756, 28426, 18219, 24516, 22901, 14869, 21190, 11763, 13872, 4019, 19380, 24131, 12884, 13467, 5098, 117, 25135, 3302, 2879, 2599, 32581, 27487, 8672, 13920, 6024, 1026}

Returns: 3332513
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21616, 26751, 7482, 12863, 1982, 32518, 20883, 4529, 18231, 11639, 27888, 967, 31663, 27170, 14839, 24544, 14617, 27390, 331, 19553, 19289, 20278, 7427, 21593, 1363, 485, 24668, 97, 1608, 14878, 10154, 30407, 26978, 15408, 9365, 26347, 5005, 16424, 14977, 17384, 5001, 8599, 32590, 4727, 15509, 13378, 19985, 16719, 7173, 19267, 10580, 3569, 23835, 19530, 11688, 28158, 27676, 12052, 32290, 6469, 32357, 32027, 16809, 4389, 28079, 20420, 30807, 12378, 22673, 32474, 16417, 27926, 11334, 4923, 19643, 339, 31665, 20945, 5814, 28008, 18334, 29380, 1516, 2267, 7243, 22766, 6941, 5495, 10279, 23952, 23770, 2206, 12249, 1091, 2978, 32480, 900, 11057, 24908, 3532, 22858, 2948, 24484, 26629, 12559, 7711, 29273, 1945, 9599, 14476, 26647, 21135, 20050, 30262, 1776, 28095, 6094, 16857, 16384, 12775, 13198, 4918, 18001, 30458, 1667, 13579, 3324, 10683, 14392, 10050, 28817, 24459, 18266, 29033, 4025, 23679, 18295, 31074, 5914, 16310, 11270, 12892, 1147, 18922, 17576, 14338, 9513, 29252, 20141, 10737, 21401, 15733, 16346, 23408, 14414, 2818, 11881, 11099, 4605, 19679, 31314, 6241, 18672, 23872, 7113, 25968, 20904, 26284, 15112, 25196, 8902, 4691, 30030, 11559, 16940, 28833, 29480, 32398, 11615, 20499, 13295, 22560, 8495, 30282, 12946, 9637, 1179, 28510, 18325, 10012, 31471, 26484, 27738, 14069, 24879, 17043, 17312, 16512, 15032, 26291, 2889, 31398, 20773, 27671, 23392, 15063, 2928, 10205, 22106, 29763, 16473, 17620, 11932, 14157, 2060, 24205, 9534, 17724, 20734, 21173, 26127, 3124, 15384, 15521, 25817, 8038, 1047, 20267, 8166, 32643, 29747, 189, 27586, 18294, 12798, 15787, 11331, 4434, 24208, 5318, 7879, 10121, 21217, 4654, 6589, 22112, 31606, 15463, 25959, 29087, 5952, 26543, 4573, 25229, 24001, 21391, 28246, 21019, 20592, 18097, 1443, 17248, 15199, 7409, 17404, 12869, 10523, 31670, 10751, 2690, 19923, 8323, 12534, 2761, 11709, 32201, 17497, 26688, 694, 6656, 29844, 17973, 25845, 18185, 22030, 31793, 30566, 18265, 13182, 14594, 28876, 15839, 20735, 24965, 26488, 12158, 2172, 28226, 7905, 2717, 9293, 30781, 9583, 29801, 28086, 20814, 29048, 17367, 14612, 17791, 2125, 16998, 7296, 1327, 30107, 13982, 18354, 25194, 3062, 1172, 6437, 4424, 19436, 20601, 32208, 31617, 3388, 9172, 30756, 11750, 3355, 18619, 7891, 916, 23141, 22562, 25612, 19927, 20748, 2586, 18842, 29455, 1797, 409, 30759, 1162, 26220, 26130, 2027, 19952, 3939, 3574, 4387, 29662, 3101, 12923, 8382, 26065, 2870, 4252, 25945, 10054, 5190, 7009, 10349, 13343, 27317, 9056, 26567, 1097, 4817, 6020, 9017, 29340, 11549, 17165, 12944, 7148, 11480, 14277, 988, 10031, 31713, 376, 26273, 4748, 1286, 29081, 11208, 22960, 26126, 15465, 19945, 1765, 20969, 5025, 6175, 22503, 29241, 4592, 13232, 9459, 530, 31403, 14576, 15906, 1534, 8641, 18274, 13045, 17733, 4077, 26913, 14385, 26731, 14127, 17790, 8173, 24825, 19324, 6121, 32385, 5045, 6168, 8737, 21724, 18134, 31650, 18800, 18261, 26013, 20301, 24409, 14291, 1210, 2677, 9633, 14834, 19118, 29152, 26825, 5255, 7696, 24732, 11056, 17853, 13416, 26077, 28622, 29440, 21130, 21501, 7460, 4122, 26402, 16577, 3187, 412, 13199, 23262, 16000, 30453, 14523, 17577, 20365, 1145, 17984, 10545, 32450, 28885, 14453, 31331, 12454, 5159, 26425, 1015, 32720, 6714, 21642, 11936, 21561, 6927, 26144, 4834, 23722, 24918, 30393, 12304, 11385, 16163, 11238, 516, 19045, 28996, 7186, 7955, 9921, 19667, 5568, 29249, 15573, 27399, 27668, 26032, 25473, 18255, 27797, 4447, 930, 25137, 16913, 5819, 18192, 18818, 27786, 5709, 27294, 6735, 24833, 14471, 26704, 19030, 21203, 26020, 16519, 27976, 2165, 1424, 18829, 5654, 18348, 2893, 7535, 23915, 20992, 20373, 6667, 12665, 1390, 32449, 10089, 21241, 30045, 7657, 14415, 9069, 4051, 27469, 14607, 10409, 8937, 7667, 24740, 27025, 22140, 18578, 6141, 2084, 28198, 25519, 27545, 15546, 26476, 17158, 15188, 5769, 18489, 31275, 7297, 9582, 12684, 29809, 8760, 28907, 2669, 17419, 32753, 24684, 22309, 27761, 14930, 30926, 4270, 23110, 4897, 4201, 2295, 22095, 28845, 9574, 9757, 20532, 7658, 7880, 13407, 26743, 30021, 31883, 8921, 27643, 19233, 29180, 5303, 31245, 26409, 30569, 29473, 8452, 232, 32386, 24591, 21958, 26938, 17925, 19295, 1166, 26624, 4251, 24101, 7916, 8728, 17149, 12354, 19213, 7053, 11610, 31800, 6204, 10762, 1021, 23721, 27541, 19243, 9101, 8297, 5497, 14922, 11013, 14783, 12164, 23113, 32410, 3955, 25403, 28182, 12126, 10411, 7493, 5669, 32487, 1066, 23500, 29884, 20870, 2694, 24288, 23410, 20937, 24530, 767, 4176, 10180, 30563, 2567, 17222, 8952, 1221, 13092, 3211, 29589, 9809, 2627, 3823, 16532, 14619, 465, 16575, 26874, 2603, 22249, 25613, 25849, 8673, 16914, 23281, 26988, 8804, 15158, 4802, 7813, 6842, 911, 20717, 17014, 23481, 8586, 18875, 6376, 30227, 29683, 1169, 26728, 1280, 31564, 1753, 24783, 18487, 22533, 8655, 20483, 32028, 32611, 2503, 27939, 22759, 15303, 10637, 16949, 8899, 20539, 11862, 9389, 805, 2291, 8918, 26236, 28173, 3199, 20706, 649, 19780, 8943, 16771, 890, 12077, 14142, 7614, 19866, 13726, 29109, 4154, 28350, 19882, 1901, 17601, 16985, 2181, 6679, 5714, 14146, 23100, 19423, 25457, 8887, 12451, 31938, 17569, 30351, 5649, 25046, 24857, 22342, 1484, 16453, 4908, 22068, 20947, 26877, 15579, 3808, 8931, 14438, 12574, 28108, 26998, 11979, 3461, 7705, 31554, 14217, 17955, 21491, 12757, 9641, 14659, 20869, 9727, 28033, 12823, 5428, 4782, 14718, 27719, 3949, 8170, 15190, 4696, 8624, 17922, 29617, 9632, 32265, 3229, 12839, 17323, 26343, 6979, 29615, 8492, 13088, 1370, 4698, 19585, 30213, 16193, 26916, 5612, 7856, 20610, 30884, 11988, 17832, 292, 21309, 507, 11923, 18046, 3349, 6139, 32310, 3570, 20970, 15661, 25556, 19647, 30924, 2477, 31801, 28048, 27975, 9948, 29724, 29139, 3581, 26752, 16160, 28475, 20391, 30234, 7629, 5680, 5430, 11153, 2731, 12683, 12366, 23056, 10782, 21413, 17643, 14011, 8917, 8856, 32013, 11940, 11371, 15137, 30669, 17552, 24160, 14164, 1345, 27982, 27417, 3470, 22944, 3112, 23468, 31654, 6744, 974, 29306, 29242, 22462, 13678, 30031, 25357, 10532, 8855, 9736, 19942, 4639, 9279, 3882, 8761, 1671, 30299, 12568, 30032, 193, 10209, 3035, 29388, 26765, 13873, 3568, 2028, 12224, 27290, 2044, 22319, 32766, 23821, 12127, 27678, 2608, 9401, 25044, 21926, 12861, 31186, 18743, 28176, 30235, 11043, 20927, 17729, 19306, 4818, 31514, 25138, 31436, 32331, 10007, 330, 27040, 11710, 1074, 2524, 18809, 5572, 22704, 31986, 23502, 25669, 1003, 16713, 10730, 28828, 28999, 24301, 2597, 5040, 28393, 23270, 11874, 31812, 19856, 11524, 18453, 28745, 23143, 18062, 25696, 12498, 19756, 32253, 28378, 4999, 31778, 18714, 28107, 15643, 13943, 30253, 20125, 28101, 2385, 13399, 16442, 9184, 6258, 31710, 28448, 23032, 13315, 27429, 31632, 9786, 31078, 4503, 12885, 30937, 15625, 13171, 10424, 31365, 29150, 24342, 8282, 31159, 17858, 14671, 25642, 31305, 15947, 16339, 28799, 9440, 16894, 21390, 23826, 23324, 20908, 32218, 3621, 31367, 24977, 5087, 15653, 23923, 21013, 13757, 22424, 13327, 8666, 15191, 16628, 2514, 29254, 16179, 5953, 7558, 16029, 25108, 15397, 5765, 27615, 9170, 25513, 32261, 11899, 14054, 18156, 30456, 29357, 6004, 28441, 11568, 7946, 11414, 16327, 25946, 10401, 3710, 10942, 5541, 23148, 28242, 29668, 10129, 26321, 25579, 28139, 31540, 13747, 11540, 10371, 20212, 6421, 11074, 26685, 22322, 5232, 31077, 10710, 2699, 18499, 5638, 25770, 10981, 29679, 28430, 16043, 475, 871, 14813, 20442, 25013, 28895, 29861, 5941, 8397, 32600, 17457, 7399, 756, 3700, 18542, 1212, 21009, 24713, 6699, 9431, 27147, 1780, 22045, 29863, 15337, 26800, 22822, 3128, 5927, 4566, 2821, 25927, 2867, 28918, 29913, 5301, 28488, 11790, 11157, 17960, 15084, 21851, 2376, 23428, 29625, 13191, 31558, 27971, 24465, 1027, 26639, 15732, 6036, 7545, 9584, 32069, 12424, 2215, 1026, 14966, 17022, 31086, 13301, 16653, 5042, 24102, 26379, 27316, 31029, 21479, 27101, 19397, 14560, 32392, 30295, 9604, 16737, 27153, 20959, 12490, 23865, 6091, 5670, 2002, 18375, 30572, 14493, 1562, 11418, 14309, 22164, 16900, 19883, 4998, 20336, 32687, 25573, 1879, 9204, 9328, 71, 30890, 2360, 21020, 4280, 11836, 6676, 22545, 28029, 831, 13144, 13475, 2796, 3266, 32675, 27269, 6462, 20774, 26276, 4665, 8249, 1328, 9693, 8139, 32268, 8028, 26279, 12479, 19834, 13684, 30071, 30280, 30522, 22626, 32351, 4027, 29342, 25155, 29400, 26946, 31092, 27324, 31934, 29397, 13098, 21905, 8860, 17254, 6965, 12147, 31836, 9906, 19738, 15892, 323, 24724, 22466, 22884, 30941, 14276, 17357, 9062, 8111, 9990, 29723, 7294, 2459}

Returns: 6550305
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5842, 1944, 21385, 16795, 15269, 4858, 17936, 9534, 29522, 1900, 19601, 17273, 27786, 23812, 21488, 28942, 17215, 639, 19446, 8151, 402, 14773, 22784, 17654, 195, 30398, 24409, 12760, 4503, 14358, 20759, 1933, 10992, 19175, 29005, 15656, 26272, 9355, 22402, 25961, 16511, 30028, 18274, 30617, 19388, 22639, 12468, 8118, 21104, 17778, 27532, 22992, 4985, 9873, 1218, 23731, 4741, 14479, 11938, 6086, 11885, 6066, 10725, 18483, 29125, 7696, 15073, 26952, 20913, 30473, 32508, 1054, 20217, 3093, 13926, 8824, 11616, 11968, 22024, 26861, 13618, 9202, 30135, 7242, 13085, 29812, 28334, 5682, 10817, 15931, 27911, 17848, 184, 21262, 3390, 22922, 6333, 28877, 25042, 13459, 22164, 16056, 1282, 14961, 13293, 8717, 4129, 1021, 30675, 20733, 32429, 1161, 22239, 16908, 28710, 5222, 25516, 10938, 15392, 1194, 25482, 20835, 3224, 8239, 23415, 13924, 29316, 15839, 26955, 22655, 10413, 18479, 15666, 6273, 30913, 24042, 18271, 33, 30372, 28720, 28159, 28716, 1544, 446, 24428, 31199, 24125, 27504, 21668, 26516, 74, 18947, 22521, 14498, 21308, 31008, 25610, 5246, 23230, 16278, 28401, 31014, 15338, 4328, 13758, 10431, 1119, 2055, 23589, 6780, 32608, 13427, 29379, 26220, 27161, 17350, 18059, 5386, 21144, 22142, 11785, 29414, 8774, 14575, 27275, 2336, 5778, 26712, 9124, 17173, 1848, 20505, 32649, 13617, 25027, 26400, 6843, 17924, 32336, 16805, 8934, 28055, 12694, 27415, 32512, 16419, 7254, 32472, 12340, 5864, 8738, 29535, 21533, 27896, 2004, 743, 31468, 12941, 23115, 11805, 27825, 29004, 5930, 27761, 12840, 458, 7233, 11709, 8150, 14926, 11080, 7975, 5973, 31449, 21971, 29421, 14947, 25986, 19854, 20324, 31080, 5240, 16606, 10262, 15779, 10767, 29054, 31048, 31514, 20426, 4659, 23737, 3674, 12940, 5286, 21626, 11268, 17415, 13580, 14336, 27016, 12406, 26886, 30584, 23695, 13766, 10586, 17250, 32691, 12660, 12063, 11881, 13264, 14074, 23502, 26890, 31256, 22746, 4671, 702, 23637, 8939, 29862, 8432, 16845, 3961, 29019, 6130, 30888, 28039, 19608, 11853, 9381, 26278, 2867, 4301, 19824, 31142, 12114, 32083, 11380, 24853, 5339, 32123, 3312, 17154, 29228, 29261, 3590, 20749, 17489, 30895, 10118, 5090, 3607, 9162, 20274, 23334, 4087, 23505, 24340, 28866, 14726, 13633, 4519, 22691, 20054, 12217, 7365, 22515, 15780, 11346, 4279, 25385, 31265, 8902, 22237, 3188, 8775, 30839, 15520, 13034, 748, 18611, 10919, 11490, 10264, 566, 23630, 29086, 28692, 32240, 11092, 1582, 21699, 29449, 17363, 12688, 24373, 27683, 21622, 15388, 31098, 8671, 3814, 15904, 4788, 24226, 3205, 16839, 18800, 20377, 27487, 15423, 4151, 26362, 14174, 8730, 95, 13197, 29629, 6901, 20263, 20844, 22718, 6232, 6404, 22535, 6560, 21470, 30517, 26986, 18123, 30870, 5021, 18115, 8271, 31656, 11986, 3614, 27788, 26684, 19570, 1396, 10034, 8855, 31158, 5860, 7277, 26247, 25161, 25152, 17497, 10074, 1995, 29372, 9482, 11504, 4161, 12020, 3027, 20861, 5656, 18478, 12328, 17335, 5126, 31193, 7435, 27299, 31939, 13403, 26524, 5106, 16, 24066, 15420, 23697, 8440, 8253, 18161, 1916, 342, 5388, 31500, 14035, 1687, 26805, 32266, 15151, 15297, 17337, 14777, 27958, 5300, 4358, 22940, 17773, 30385, 29806, 14223, 9806, 10776, 1368, 31662, 3227, 6518, 8629, 29556, 6641, 25632, 11680, 30679, 20668, 23645, 32698, 26455, 3601, 18721, 29290, 28303, 15317, 20950, 3463, 15303, 15803, 16312, 22633, 3317, 29822, 1532, 18854, 25836, 13372, 10002, 8109, 10293, 18056, 22270, 27071, 4544, 13020, 5726, 8396, 1619, 7227, 18488, 30612, 6711, 23, 1353, 12465, 7986, 23667, 14745, 5592, 20149, 325, 16467, 29788, 25685, 4382, 29140, 17139, 15487, 29964, 22530, 21693, 19304, 18368, 31967, 15746, 68, 31724, 1886, 19260, 26808, 16879, 6773, 14549, 10385, 28852, 10867, 32305, 6582, 30167, 15508, 24943, 10331, 4362, 17618, 11628, 16248, 24248, 5631, 12681, 22906, 30184, 6161, 28335, 2360, 7523, 14525, 5520, 3880, 23577, 19015, 14895, 20179, 26817, 17560, 24738, 14470, 15552, 7313, 18198, 31563, 20044, 9631, 4373, 4887, 13777, 12687, 14340, 1861, 17043, 25252, 25840, 27971, 17046, 25575, 6026, 908, 443, 31679, 15983, 30934, 17451, 11457, 9389, 13196, 16376, 22729, 22659, 11646, 23042, 6730, 28521, 14296, 18402, 19280, 15184, 2656, 22066, 17707, 18596, 13817, 3052, 3396, 15070, 15405, 27990, 75, 17166, 31502, 14505, 23476, 30954, 118, 13759, 13771, 2782, 11570, 15873, 20193, 4675, 26183, 20273, 26436, 24964, 14982, 27307, 12655, 32128, 1634, 31210, 17968, 2559, 23629, 13028, 4746, 9611, 539, 26975, 17317, 12241, 14534, 14892, 4893, 6923, 3180, 6264, 8377, 23544, 25251, 18456, 843, 18223, 12918, 17785, 24792, 22707, 32171, 27098, 20985, 6599, 28488, 8120, 17237, 15242, 20832, 10408, 23522, 19631, 31176, 22321, 10060, 31397, 32654, 22059, 15293, 17019, 27858, 17222, 19442, 10377, 7906, 1963, 22849, 12894, 10332, 16784, 18138, 15610, 7827, 27658, 12877, 830, 22068, 14627, 13644, 26784, 21290, 21037, 29874, 23587, 28606, 29270, 8389, 26503, 32515, 3964, 16060, 28273, 1346, 13173, 25501, 10960, 30307, 12763, 19544, 22598, 15551, 26423, 19990, 23763, 17409, 31733, 21649, 11910, 1468, 24461, 18350, 12993, 14996, 28067, 17361, 18023, 30136, 12089, 9797, 10406, 13415, 15396, 14558, 2068, 1716, 16604, 26110, 13702, 27608, 29971, 17404, 2530, 2298, 8009, 20425, 6509, 19142, 27872, 338, 15404, 10681, 12981, 24333, 3983, 31511, 10311, 23692, 10926, 25637, 24092, 1874, 26578, 3481, 29536, 30181, 11087, 20176, 11557, 12048, 11325, 24278, 28635, 3276, 9897, 9461, 11413, 7064, 21657, 4200, 32178, 5157, 13452, 27654, 28601, 18859, 8807, 25449, 495, 30766, 31922, 25423, 5416, 18432, 10756, 22848, 15581, 10887, 4796, 5746, 9855, 29760, 25330, 23017, 2827, 22532, 10414, 17890, 24287, 10122, 8791, 17522, 13260, 32046, 20846, 8043, 364, 13040, 9596, 20351, 18357, 19136, 21320, 18088, 16335, 11257, 11342, 14791, 3875, 23083, 2669, 11659, 12469, 2333, 9184, 19092, 2227, 12818, 23407, 15576, 22094, 3660, 24806, 30664, 6863, 13767, 19626, 13518, 2407, 27196, 23249, 777, 17132, 9807, 27885, 30960, 24261, 30778, 25312, 13227, 32226, 11886, 26031, 9965, 10527, 8188, 5503, 28502, 6303, 1674, 5349, 24880, 22316, 25039, 17552, 31487, 18316, 11912, 32535, 31376, 1958, 19729, 13627, 6191, 3815, 13874, 8045, 3044, 29243, 10384, 11319, 17729, 30207, 18434, 465, 19469, 12498, 30921, 15358, 26428, 29789, 6172, 9324, 19977, 1530, 7806, 14297, 5954, 14857, 1120, 27720, 757, 10804, 12113, 14686, 28990, 16239, 12, 15197, 24160, 20769, 5486, 8971, 6676, 1800, 29939, 19471, 26259, 28722, 29708, 22973, 7825, 24397, 23709, 7828, 428, 6489, 7075, 21571, 22933, 13053, 17886, 22043, 19738, 10171, 2670, 29689, 109, 11942, 31726, 21554, 29503, 9719, 2021, 14029, 9001, 19787, 12792, 2216, 11425, 26124, 12665, 28952, 29107, 486, 27122, 15315, 27732, 23503, 28693, 6670, 31476, 16965, 23286, 32482, 23378, 30423, 13688, 6900, 18324, 9959, 9221, 15189, 27031, 25006, 4739, 4007, 6276, 12161, 32387, 7042, 5284, 11858, 12731, 22294, 13685, 22393, 182, 17169, 15869, 21173, 25034, 29635, 19294, 31341, 28747, 22399, 4523, 30012, 12286, 15429, 23290, 2221, 9424, 22687, 31930, 2371, 4808, 23497, 14151, 3005, 31291, 18708, 13244, 15255, 9279, 8844, 5129, 31444, 21345, 9945, 18757, 12027, 27803, 9827, 9285, 24416, 11392, 13242, 21613, 2212, 15546, 13108, 18630, 18815, 15798, 3544, 10065, 19645, 6302, 2938, 20123, 5255, 11656, 6184, 5522, 2788, 12781, 30917, 15767, 31616, 21340, 13044, 19156, 23211, 29295, 11320, 14032, 32164, 12608, 5780, 28425, 25377, 4838, 4639, 4295, 26627, 20517, 22508, 8964, 29096, 12392, 1234, 25476, 18893, 3392, 10157, 4872, 9800, 7427, 22030, 1834, 851, 31024, 5000, 30760, 5571, 26414, 3620, 14798, 16031, 7284, 29451, 16434, 17001, 10611, 27445, 16761, 11138, 10394, 15021, 30613, 31207, 20609, 23025, 25622, 10164, 30311, 16028, 1603, 22247, 5342, 14186, 3175, 10949, 32412, 8564, 7237, 1655, 27109, 956, 20802, 22147, 14882, 27024, 28443, 31466, 14939, 27356, 1679, 32446, 31627, 16269, 17661, 32311, 31765, 13127, 13059, 23754, 22961, 21683, 11574, 11014, 12224, 10883, 21782, 9148, 12253, 14768, 3649, 1122, 10421, 16646, 23526, 17593, 28440, 19939, 12925, 29102, 23888, 3644, 4533, 12158, 23729, 992, 31406, 10014, 11633, 32001, 5737, 25306, 24762, 8317, 24124, 14590, 18472, 27147, 19759, 25739, 19086, 2291, 24164, 18015, 18167, 1864, 31989, 16701, 26859, 9986, 21833, 14592, 2473, 3571, 8503, 15920, 32106, 28157, 32622, 6099, 17898, 32129, 23060, 8069, 20005, 21530, 8365, 9163, 4958, 32652, 22847, 17573, 24422, 25847, 19635, 32354, 30747, 16977, 21119, 22200, 26671, 25618, 32642, 24596, 25393, 15407, 1839, 5811, 32592, 1518, 24290, 17163, 26932, 24511, 24123, 9434, 4471, 13857, 17616, 11822, 20353, 14898, 6483, 15553, 29876, 30743, 891, 8167, 11422, 6578, 11575, 25878, 7714, 7370, 7511, 31920, 25303, 28225, 29456, 3431, 10823, 7531, 32360, 9509, 10499, 30104, 1531, 13920, 29877, 11935, 14290, 30289, 28607, 28306, 23896, 22550, 3101, 22259, 1692, 14419, 19852, 2420, 13042, 28423, 24719, 27726, 29440, 16463, 22174, 29094, 15522, 9641, 29202, 1542, 28556, 20486, 28645, 3377, 7866, 14951, 10212, 6414, 26397, 27897, 19773, 20758, 10507, 16990, 9410, 4789, 5270, 5047, 4150, 21633, 9212, 17255, 21184, 22098, 1912, 3684, 177, 21001, 27895, 6205, 26476, 30540, 15896, 31325, 30652, 31878, 32040, 32051, 10859, 16686, 28241, 27792, 4880, 25933, 24846, 2896, 31290, 11746, 28520, 12456, 15434, 9775, 4434, 10211, 9456, 20856, 16983, 17441, 3200, 18268, 9042, 4525, 4143, 14859, 18942, 14469, 31996, 21762, 13335, 21419, 16361, 21997, 4246, 940, 13732, 24770, 13384, 13126, 8461, 20768, 26526, 14124, 14811, 7797, 10405, 10322, 15364, 16494, 19869, 3070, 16257, 14258, 15078, 16930, 15697, 3791, 12324, 11753, 26048, 26484, 28827, 19600, 11241, 26594, 19163, 11895, 10874, 7325, 17314, 1656, 17847, 26622, 17271, 11970, 11374, 26682, 11289, 15045, 28891, 5499, 19296, 5393, 12755, 31292, 24673, 23941, 7771, 30033, 20496, 17123, 15206, 4180, 468, 6501, 6064, 29252, 13531, 15891, 6053, 12974, 5125, 7061, 31066, 23838, 27461, 17000, 28265, 29597, 12301, 8067, 2043, 31351, 28167, 1595, 10534, 28994, 4452, 29562, 23835, 7484, 8121, 25046, 12973, 28542, 1408, 23179, 24803, 6517, 28667, 11748, 2732, 24574, 20345, 23393, 32388, 16688, 5853, 19365, 13391, 11261, 7141, 17288, 12796, 5180, 2966, 5741, 424, 16737, 20451, 1416, 8845, 11604, 21612, 527, 25813, 15391, 12122, 17042, 31141, 7146, 20874, 17035, 17498, 24874, 24630, 20755, 13077, 10289, 3234, 10906, 16904, 22680, 21517, 25395, 13405, 4840, 28714, 28707, 25194, 18609, 25463, 23428, 18093, 17910, 5567, 19873}

Returns: 6048500
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Returns: 8554347
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25049, 27348, 6068, 15119, 3772, 26473, 31606, 22918, 16831, 23329, 14525, 23634, 20299, 25704, 1384, 16911, 11030, 22847, 126, 27969, 22627, 14316, 22263, 8078, 30866, 10593, 9941, 29828, 6212, 10697, 21857, 28371, 22464, 8033, 6839, 26041, 29333, 21385, 26244, 26301, 27265, 539, 527, 24480, 22930, 29435, 4982, 9361, 12171, 20975, 26170, 9888, 24201, 14513, 7422, 28277, 15078, 8003, 12098, 4702, 9859, 24601, 1526, 15984, 28927, 30410, 14516, 32266, 2679, 2691, 25178, 15120, 6062, 30535, 15121, 16166, 7931, 27632, 28073, 25829, 10086, 20209, 5145, 13945, 19006, 27891, 24565, 11285, 7627, 21844, 7145, 1804, 5038, 20023, 10833, 5780, 9480, 16674, 4837, 30228, 8978, 14504, 419, 11053, 31760, 20498, 12926, 6291, 1080, 21961, 6410, 17982, 1137, 26568, 24606, 23416, 6665, 29550, 29477, 11969, 8256, 31921, 1106, 12867, 18142, 9977, 344, 17624, 12684, 15349, 10044, 14550, 28902, 3207, 3812, 26112, 27714, 1068, 5128, 5783, 3504, 11398, 597, 28133, 6247, 29883, 8675, 4851, 22876, 28608, 3174, 239, 17940, 18392, 25256, 14033, 32182, 2903, 30263, 2623, 24676, 13996, 15194, 8621, 12491, 8094, 22984, 29689, 9686, 24223, 6677, 879, 19614, 6153, 1400, 8680, 22336, 28205, 16313, 5778, 17470, 30728, 11240, 8875, 9259, 22402, 6763, 28057, 18499, 983, 21969, 23409, 31451, 25321, 4684, 24109, 31322, 15510, 12047, 29640, 14876, 11985, 10767, 23283}

Returns: 4732269
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21614, 10576, 6487, 16241, 25604, 1367, 14632, 18312, 2918, 28029, 3600, 10243, 13971, 18264, 10903, 8033, 2019, 21105, 7288, 24446, 6285, 30384, 20807, 28588, 8811, 22292, 11863, 29958, 30466, 31911, 24539, 21761, 26557, 11698, 9035, 26180, 17709, 4362, 9146, 19782, 7801, 10565, 5605, 20588, 26962, 10270, 26229, 13741, 31231, 25866, 15818, 27083, 16759, 27797, 17737, 7097, 27315, 27413, 13684, 31092, 29449, 26816, 1701, 31877, 1581, 22929, 14273, 15578, 8034, 24323, 21793, 21433, 30026, 14331, 15211, 18821, 9513, 21206, 20657, 10349, 15233, 18655, 19617, 32441, 11656, 6726, 20285, 19121, 9595, 6432, 23994, 26932, 1456, 14385, 31427, 3839, 16357, 8210, 13279, 29866, 12835, 23772, 19251, 11483, 22855, 6540, 6931, 22182, 3557, 27377, 18792, 4959, 29395, 5145, 19029, 3757, 11500, 28425, 30234, 19680, 18446, 19888, 13880, 13189, 28005, 26398, 3542, 55, 20204, 355, 8632, 27696, 25873, 8573, 10048, 5208, 926, 15633, 14868, 18786, 16678, 21851, 26799, 22810, 31122, 12333, 15554, 23683, 26805, 23621, 9457, 9929, 26842, 29620, 8237, 10976, 3038, 4431, 17580, 26804, 26290, 298, 15453, 21280, 15670, 7559, 25543, 21147, 7125, 12215, 21321, 284, 19322, 22670, 30138, 30256, 15696, 23828, 29260, 6475, 25549, 11133, 28086, 28251, 7406, 11356, 26258, 4259, 4548, 13331, 12547, 20423, 12079, 10382, 21916, 8995, 7146, 12081, 22397, 30478, 9663, 6731, 29532, 15379, 2269, 22047, 6692, 13989, 9119, 24750, 31550, 23879, 27954, 31186, 17276, 14120, 28581, 37, 3504, 8473, 1841, 31490, 3570, 27771, 9346, 29819, 913, 25536, 15250, 10478, 10383, 8190, 11884, 24038, 21597, 25270, 8476, 11658, 26003, 18672, 21019, 23491, 21124, 27009, 20350, 1697, 10262, 10377, 3181, 13819, 27345, 25663, 27351, 3670, 3637, 24305, 3428, 11016, 30289, 2630, 1451, 25502, 14225, 6087, 12966, 122, 2264, 29341, 25442, 8897, 7118, 1692, 4603, 25460, 20348, 30849, 19144, 28124, 28950, 13176, 5075, 6444, 32535, 28642, 26764, 17762, 8851, 7614, 32622, 21193, 10723, 16833, 12438, 22265, 2207, 19698, 23833, 6773, 18781, 13920, 13842, 1785, 30650, 16584, 672, 22847, 26460, 5060, 9167, 31611, 30015, 14986, 29717, 1952, 14124, 10732, 19893, 11693, 11639, 2547, 28707, 23838, 16444, 16031, 6766, 22414, 28216, 16649, 16732, 24189, 21373, 23367, 27580, 28240, 23440, 10488, 10905, 27864, 21994, 24473, 12638, 9200, 15620, 16927, 6589, 5699, 11779, 14457, 30432, 27012, 29311, 13701, 4225, 6552, 23965, 11104, 3475, 31158, 23941, 22560, 23078, 4798, 12392, 14022, 9356, 27329, 31854, 13754, 8462, 30153, 10480, 11475, 21907, 22733, 18077, 1764, 6239, 24235, 1661, 7702, 27791, 14850, 32004, 28704, 26579, 15698, 14335, 939, 9726, 17843, 20089, 18600, 30729, 15815, 10203, 21222, 1115, 19693, 15960, 8932, 15431, 1719, 24712, 28900, 19159, 11935, 13907, 11840, 24776, 25589, 3345, 12545, 469, 18972, 12015, 15790, 14137, 246, 18837, 19311, 413, 24097, 29500, 13140, 17351, 29548, 2031, 19645, 28995, 32019, 21836, 11118, 5707, 19031, 23291, 17065, 7936, 28486, 12351, 2413, 7386, 17979, 9484, 9705, 213, 30516, 24477, 24836, 5472, 21830, 10902, 10194, 17416, 20821, 27286, 26247, 14854, 20038, 30531, 21828, 20931, 29806, 28905, 13723, 22858, 6501, 28620, 8161, 20337, 13378, 21121, 23588, 29384, 12833, 20602, 28081, 17653, 11102, 2232, 32601, 28182, 28144, 32355, 117, 30130, 8849, 14686, 4903, 19744, 21791, 12258, 6918, 11331, 29118, 8748, 2293, 15440, 15179, 17058, 29044, 24942, 4669, 30761, 31991, 26888, 6869, 13087, 29217, 10919, 14563, 23925, 24030, 15995, 12939, 8787, 15642, 16346, 17313, 10827, 26700, 9213, 27842, 18457, 11618, 306, 8230, 7056, 27182, 7858, 14146, 17837, 25288, 86, 7996, 6471, 11932, 3374, 9605, 6347, 14886, 18626, 22611, 32032, 17195, 1762, 28999, 32655, 1649, 1545, 3641, 21935, 16491, 22866, 28155, 16645, 25268, 12680, 9301, 32064, 12538, 8972, 2822, 9918, 28177, 18514, 27085, 29140, 23752, 31104, 5777, 482, 25556, 20482, 7257, 28639, 18967, 452, 31154, 7992, 2082, 31908, 7762, 21723, 21240, 22055, 17550, 17428, 25450, 16033, 2182, 17070, 3420, 16334, 14133, 2374, 2915, 10803, 15612, 23271, 21120, 15126, 2271, 26580, 5433, 1201, 3074, 32466, 11849, 24990, 13861, 4594, 17298, 11274, 24945, 21868, 24506, 16317, 19932, 22589, 7504, 23074, 5495, 3146, 29387, 19982, 224, 1996, 3406, 1191, 17136, 10055, 14370, 14753, 4066, 22551, 19709, 14953, 29003, 31109, 9635, 4056, 3767, 32272, 16087, 6142, 8773, 18862, 10855, 17999, 12172, 5993, 9669, 22218, 26020, 28875, 31204, 2872, 24179, 28892, 10495, 6190, 4812, 21380, 7010, 296, 10727, 10975, 23048, 2893, 31859, 5778, 2410, 24002, 2550, 11090, 12354, 5532, 28845, 8844, 1772, 24898, 7057, 12698, 32206, 5813, 6699, 9194, 20405, 32368, 730, 3841, 31949, 8531, 15343, 7621, 17589, 1595, 2967, 5870, 30489, 4788, 892, 16010, 7324, 28260, 10236, 21908, 18461, 8002, 27528, 14281, 3385, 31050, 2999, 16401, 7891, 4875, 14615, 25165, 27213, 1619, 6492, 24929, 8869, 31954, 5772, 2574, 292, 11262, 11343, 21804, 6103, 10238, 29096, 17287, 24007, 32413, 12233, 31211, 30853, 17380, 12727, 13884, 9498, 1341, 5451, 28591, 11531, 2766, 32175, 22401, 28125, 19910, 22977, 13466, 25061, 12787, 17835, 7116, 20159, 6740, 15613, 27830, 24221, 27936, 7842, 5609, 25567, 6410, 11539, 25674, 31460, 32708, 24266, 25016, 32288, 27074, 4858, 1774, 111, 26432, 32381, 17578, 16809, 17030, 10255, 20855, 26475, 29368, 7751, 21605, 25624, 18830, 7022, 26382, 6045, 10411, 7297, 24171, 18719, 7584}

Returns: 4340848
"ABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXABXXBXX"

{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1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}

Returns: 1500500
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99483, 14117, 62008, 46435, 57327, 43060, 68730, 44700, 92432, 48653, 88095, 44263, 95012, 82526, 13613, 78117, 55069, 62939, 38741, 44986, 36570, 1684, 93261, 11428, 82296, 56466, 49065, 31026, 56012, 32363, 9870, 77567, 80476, 6236, 18895, 84681, 73653, 70815, 56835, 68645, 17446, 82310, 14750, 14204, 91446, 68143, 16007, 78627, 43386, 96737, 55890, 654, 53139, 83198, 96407, 93454, 53694, 80226, 77162, 97765, 89556, 4179, 22612, 79903, 61117, 14497, 78473, 49706, 76231, 81752, 29924, 75120, 61572, 72700, 81624, 98348, 92475, 42141, 55568, 52547, 29638, 72979, 53505, 14236, 36197, 26837, 39750, 19962, 33978, 84685, 81588, 46929, 10366, 52630, 32375, 77758, 19482, 86800, 54693, 29380, 70401, 34907, 76025, 59483, 48133, 5675, 52842, 99859, 80944, 72132, 59428, 5409, 55133, 89838, 47807, 71424, 11278, 62386, 88823, 36835, 4648, 23087, 12644, 74129, 1957, 88079, 4115, 12922, 61105, 99621, 12220, 97169, 92000, 16067, 26269, 21762, 86982, 32655, 11247, 62028, 72560, 94527, 56895, 50714, 37242, 7341, 90344, 26262, 72873, 65908, 70759, 33126, 64259, 38436, 74774, 80835, 56165, 25915, 97796, 56975, 11356, 4285, 12333, 92366, 13822, 53741, 4398, 65760, 51971, 5444, 37636, 96277, 5943, 3658, 91582, 59945, 98298, 27084, 74935, 22137, 89843, 27637, 55440, 19742, 93384, 63176, 1669, 11841, 81210, 3093, 74695, 11063, 83064, 6962, 48818, 40087, 60729, 86740, 47911, 18161, 10903, 8039, 98500, 58568, 73953, 18018, 42715, 58282, 87673, 64167, 12648, 63175, 75206, 38386, 83503, 45735, 45779, 16536, 80205, 40713, 29729, 29530, 22422, 67601, 94209 }

Returns: 21100321
"AABABAAXXXAXXAAXXXABAXXAXXBXABXXBBXXXBBBAXXXBAXXXBBXXBXAXAXXABBABXBAXXXXAAXBXXAXXAABXBXAAXXXXAXAXXAABXBXBXXBXXABABXXXAXBXXAXBBXXX"

{40363, 74300, 48259, 63586, 36706, 68792, 96203, 11908, 95400, 49168, 42567, 37128, 39660, 60621, 41266, 825, 93321, 19455, 11582, 23574, 92543, 96571, 40588, 88843, 38853, 32364, 71172, 71915, 92682, 84016, 23852, 98180, 14981, 48620, 65637, 92922, 66578, 70666, 29212, 71839, 31175, 72074, 94022, 2154, 40525, 61919, 35383, 49135, 12059, 90852, 17564, 49495, 41385, 1686, 59120, 91385, 51593, 83980, 73779, 33936, 42851, 83340, 73449, 57205, 69129 }

Returns: 1882788
"ABAXXAXXBAXXAXX"

{1, 2, 3, 4, 5, 6, 7, 8 }

Returns: 26
"BBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBABBBXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX"

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105, 483, 216, 630, 805, 102, 530, 628, 546, 927, 26, 975, 64, 184, 6, 435, 508, 596, 728, 34, 495, 145, 225, 289, 67, 903, 190, 363, 416, 977, 273, 173, 238, 836, 714, 763, 899, 670, 288, 553, 143, 697, 698, 627, 22, 128, 579, 697, 661, 305, 374, 469, 681, 596, 854, 487, 21, 467, 122, 155, 803, 90, 63, 929, 13, 760, 173, 318, 579, 230, 46, 761, 167, 112, 885, 89, 568, 490, 580, 477, 628, 630, 632, 931, 426, 523, 905, 965, 126, 599, 740, 264, 198, 528, 267, 263, 205, 119, 33, 329, 14, 774, 414, 550, 156, 523, 793, 927, 191, 766, 943, 854, 665, 832, 903, 716, 961, 581, 368, 10, 480, 203, 61, 442, 306, 763, 360, 327, 480, 111, 116, 890, 804, 853, 463, 431, 996, 387, 408, 543, 114, 707, 838, 359, 75, 353, 826, 488, 559, 219, 629, 360, 529, 360, 340, 274, 872, 364, 899, 25, 620, 115, 720, 699, 588, 44, 426, 132, 232, 568, 562, 935, 299, 858, 56, 965, 587, 737, 657, 975, 460, 372, 535, 966, 610, 486, 914, 638, 70, 851, 678, 941, 226, 145, 757, 514, 744, 178, 462, 828, 224, 873, 629, 937, 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947, 958, 321, 729, 414, 28, 358, 4, 552, 499, 587, 518, 967, 345, 78, 916, 145, 199, 951, 75, 429, 609, 176, 432, 407, 708, 629, 815, 378, 96, 568, 39, 739, 144, 817, 997, 259, 655, 939, 841, 485, 358, 18, 134, 233, 844, 628, 14, 640, 189, 693, 653, 665, 637, 896, 356, 419, 455, 11, 265, 236, 457, 306, 637, 306, 259, 151, 127, 320, 216, 112, 31, 203, 83, 321, 861, 53, 158, 364, 267, 906, 679, 646, 912, 905, 564, 492, 951, 285, 656, 677, 223, 405, 926, 834, 372, 881, 262, 11, 622, 974, 6, 948, 784, 507, 395, 688, 316, 701, 592, 725, 941, 40, 413, 464, 237, 511, 964, 962, 496, 518, 272, 940, 872, 61, 703, 974, 267, 120, 218, 558, 818, 333, 42, 215, 291, 85, 957, 88, 713, 487, 777, 383, 818, 954, 544, 118, 682, 113, 901, 76, 791, 980, 135, 959, 692, 116, 11, 944, 793, 726, 366, 31, 187, 781, 203, 74, 888, 977, 74, 336, 870, 156, 298, 171, 828, 679, 632, 653, 601, 312, 696, 689, 83, 119, 252, 670, 531, 682, 867, 424, 408, 829, 819, 519, 729, 669, 90, 684, 967, 343, 689, 24, 665, 724, 67, 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74, 811, 562, 159, 605, 835, 908, 443, 378, 565, 888, 965, 83, 839, 800, 205, 511, 83, 343, 79, 61, 496, 743, 549, 477, 776, 100, 883, 338, 75, 403, 710, 958, 669, 144, 591, 484, 171, 318, 399, 228, 12, 15, 139, 458, 765, 46, 745, 24, 925, 515, 251, 21, 371, 720, 717, 653, 293, 338, 762, 172, 898, 306, 643, 982, 202, 108, 794, 664, 684, 655, 756, 36, 32, 990, 45, 256, 86, 423, 817, 721, 247, 66, 232, 655, 867, 772, 473, 8, 50, 597, 490, 329, 279, 326, 543, 682, 993, 591, 713, 274, 948, 224, 473, 186, 592, 958, 981, 782, 9, 265, 138, 490, 199, 36, 91, 938, 782, 996, 793, 965, 968, 4, 108, 810, 570, 672, 137, 674, 460, 1001, 548, 600, 221, 841, 847, 375, 566, 31, 267, 804, 726, 493, 607, 604, 230, 200, 695, 774, 366, 304, 366, 724, 568, 424, 448, 613, 498, 744, 25, 815, 154, 18, 58, 396, 741, 282, 885 }

Returns: 437032
"BAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAABAAXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX"

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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 }

Returns: 1875750
"AXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXAXX"

{3654, 6791, 5744, 7563, 6758, 8642, 9546, 8305, 1892, 8478, 212, 9679, 6133, 6721, 1583, 4571, 6823, 8410, 9509, 1333, 3616, 6814, 6181, 756, 7075, 5430, 695, 7538, 4545, 3648, 32, 3916, 4962, 8512, 6165, 8329, 3061, 2110, 9871, 7378, 6382, 5279, 1858, 846, 5788, 2980, 2049, 6242, 8211, 7795, 9259, 9061, 7568, 1065, 4759, 5168, 4766, 2883, 2875, 4943, 6094, 3899, 3214, 7181, 6715, 4401, 1330, 9988, 4387, 6852, 3794, 651, 9354, 5440, 7978, 2630, 9302, 5677, 8855, 9191, 2915, 4526, 2912, 1863, 9147, 6123, 8245, 7286, 200, 4996, 7414, 9688, 9601, 963, 9497, 5666, 9805, 8017, 155, 2107, 1297, 4906, 7348, 8253, 4503, 4509, 5764, 5182, 7782, 8816, 3549, 6635, 1573, 4972, 4921, 7349, 4883, 8043, 599, 2309, 9075, 4372, 9931, 9720, 8034, 8944, 2496, 6873, 6575, 1206, 2145, 6499, 6002, 947, 4767, 2585, 9459, 6647, 9285, 180, 8967, 9263, 6288, 6691, 5626, 9294, 6222, 1952, 7333, 3016, 9920, 2567, 8565, 4860, 4274, 3656, 574, 7055, 6196, 3954, 4507, 7189, 4336, 7727, 1750, 2737, 9343, 4488, 1271, 837, 1929, 1376, 8814, 6425, 3259, 9721, 7225, 1001, 5829, 8197, 6800, 2239, 4275, 8542, 3952, 3046, 6268, 1755, 8350, 771, 7009, 6045, 8556, 2167, 5784, 2865, 8196, 2790, 6282, 4765, 3220, 1863, 8980, 6112, 9359, 7191, 3821, 6858, 979, 2850, 5129, 2186, 7431, 1975, 4322, 7075, 1042, 4105, 7651, 6003, 2932, 2449, 2946, 3767, 2439, 3601, 9958, 8850, 8719, 4807, 150, 5098, 8780, 8772, 4373, 297, 9542, 5273, 3506, 6055, 6475, 7383, 8841, 3998, 7471, 4349, 7125, 8409, 2143, 7597, 7281, 513, 9945, 7323, 5679, 1288, 5844, 4233, 8992, 5208, 6454, 7263, 2533, 7780, 6181, 9347, 6439, 3755, 5158, 5419, 4326, 3835, 3265, 4816, 2443, 5416, 2272, 9185, 9777, 1321, 44, 4302, 6653, 8522, 7354, 9655, 2226, 5355, 7059, 7259, 185, 9653, 4736, 6052, 4318, 3193, 9789, 9918, 3021, 2412, 1186, 8731, 2137, 6613, 6977, 3627, 7977, 3773, 9331, 6986, 9425, 1131, 2985, 4941, 9943, 9345, 7426, 5510, 9202, 9763, 4386, 6898, 6454, 2975, 9551, 2803, 4482, 7597, 7852, 7790, 7234, 592, 4137, 2294, 899, 6533, 8752, 3589, 4734, 5995, 599, 5391, 5592, 4915, 388, 7343, 5586, 9762, 2247, 3378, 7991, 512, 1090, 1135, 5015, 7760, 8368, 103, 5585, 8226, 6199, 2095, 4771, 8959, 7835, 79, 97, 9575, 1521, 4214, 7073, 5481, 1770, 3645, 373, 5940, 2900, 6325, 3310, 2138, 3492, 591, 2190, 7288, 4739, 3474, 1676, 4338, 2373, 7938, 6458, 5382, 5579, 1288, 4697, 6372, 7809, 19, 2236, 7, 9627, 9212, 6967, 2492, 3363, 9007, 966, 8719, 4827, 9302, 3633, 5296, 562, 4214, 5725, 4034, 800, 7596, 7732, 7342, 4389, 9660, 132, 3765, 7978, 8238, 6801, 2422, 5985, 1035, 6610, 8130, 5499, 8848, 8344, 1609, 8931, 3129, 1724, 5814, 8281, 9838, 72, 3207, 503, 8971, 6555, 6702, 6269, 1884, 380, 6039, 745, 2289, 5947, 6320, 4675, 8888, 4139, 5068, 2479, 2228, 1126, 6604, 6969, 7688, 3589, 7731, 6455, 6360, 5011, 2494, 8580, 8083, 1616, 346, 699, 6534, 1154, 2493, 8523, 4159, 9831, 6441, 4270, 9523, 2287, 2055, 7498, 8482, 7634, 185, 4248, 8730, 8911, 6944, 3811, 5075, 4289, 7630, 4389, 2761, 3909, 5922, 9921, 1807, 4230, 3180, 9756, 599, 8567, 2872, 9439, 6442, 1075, 4127, 7209, 8999, 4843, 1912, 5677, 180, 1994, 4817, 442, 8151, 4004, 5156, 4192, 470, 4859, 1854, 6265, 1745, 2363, 2115, 4094, 1634, 3398, 9832, 8853, 3124, 3894, 9494, 7436, 3273, 9041, 7213, 2191, 2306, 2381, 4707, 1456, 5394, 858, 2710, 6105, 5159, 5606, 8842, 9102, 1456, 1262, 9109, 2611, 1479, 9190, 4619, 5999, 5417, 771, 446, 1295, 5556, 9318, 7683, 9377, 1430, 6024, 7451, 4092, 3854, 4560, 4773, 1268, 1560, 8184, 3010, 4214, 5885, 2784, 5893, 5095, 6927, 467, 3314, 8716, 1348, 5541, 4043, 6953, 7767, 6299, 1435, 5418, 4517, 6859, 2565, 8293, 1801, 2989, 1599, 9197, 9126, 9912, 5920, 8424, 8432, 7277, 461, 4611, 5555, 9579, 5575, 7599, 9145, 641, 2769, 4000, 1629, 3006, 8476, 614, 9625, 5296, 9428, 3728, 6115, 6742, 1904, 6055, 8522, 4065, 1130, 6385, 676, 996, 4588, 3081, 3580, 9737, 131, 8213, 1777, 3547, 5219, 3815, 1998, 4628, 4909, 374, 709, 6540, 7230, 7083, 5076, 543, 7438, 5222, 6045, 9032, 9458, 565, 9458, 6490, 2887, 6090, 3998, 2727, 2523, 6441, 251, 5963, 2904, 2163, 5871, 8729, 4623, 3299, 5288, 3840, 8507, 5594, 8341, 211, 2652, 4926, 4981, 4257, 9103, 2074, 3867, 2858, 8878, 8901, 4348, 3186, 635, 3273, 5630, 9594, 8240, 6633, 3396, 2765, 1293, 6071, 4019, 1144, 243, 3607, 8309, 230, 9673, 7448, 3681, 1788, 5279, 2113, 4203, 4353, 1946, 8149, 548, 9919, 1294, 6365, 3829, 2289, 2529, 2426, 9044, 777, 4964, 6020, 5649, 1744, 5253, 7239, 9570, 7038, 4282, 8079, 6408, 1315, 4937, 6861, 6910, 7232, 8573, 1190, 1371, 7057, 8711, 9616, 1920, 6682, 3611, 3737, 5380, 3459, 2414, 7752, 5149, 8062, 852, 259, 8189, 7889, 7959, 5834, 3527, 9964, 5066, 4388, 8894, 5994, 4216, 3476, 3454, 526, 5080, 4442, 3701, 36, 8306, 6911, 9, 3724, 6455, 9590, 8073, 6892, 2814, 7435, 364, 6241, 8843, 9395, 3180, 3375, 6273, 6975, 8129, 4919, 7132, 8426, 3115, 6756, 705, 3929, 9379, 5139, 3477, 2241, 3271, 5618, 1626, 5619, 5867, 759, 155, 9181, 1306, 1609, 2320, 908, 880, 802, 1706, 6943, 7546, 4483, 261, 2988, 2297, 1123, 1829, 4716, 9598, 249, 2406, 3659, 3622, 5047, 1833, 6770, 8821, 1249, 2646, 1985, 6067, 3028, 3189, 734, 1632, 468, 9108, 6752, 3, 4343, 187, 321, 3708, 566, 513, 4868, 2417, 7779, 7128, 2326, 4509, 6228, 6658, 869, 1037, 1129, 11, 5249, 7223, 7084, 1652, 1452, 3976, 3050, 606, 2762, 26, 1204, 135, 7826, 1706, 8499, 4672, 600, 8118, 4700, 4762, 7098, 2356, 6815, 9455, 9734, 2499, 4691, 1343, 4084, 2936, 7985, 3337, 5068, 4813, 8877, 69, 3486, 121, 1801, 8825, 164, 166, 9112, 1877, 2669, 4319, 9892, 8792, 6601, 3124, 3826, 516, 9751, 4608, 6092, 7111, 1083, 2402, 9398, 3015, 1589, 4768, 7095, 1735, 6414, 5869, 8191, 1815, 1866, 4837, 4299, 5881, 4677, 4746, 765, 2830, 755, 6582, 3260, 636, 494, 5172, 2514, 7611, 7635, 9153, 6488, 8462, 5297, 4644, 5679, 4280, 7471, 6379, 141, 5083, 5765, 2612, 1543, 46, 491, 5870, 2104, 1857, 6298, 5231, 48, 7895, 9455, 6134, 1828, 9537 }

Returns: 4928909
"AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX"

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1, 1 }

Returns: 2000

Statistics

Problem Statement for "CircuitsConstruction"

Problem Statement

Definition

Notes

Constraints

Examples