minimum-window-integer.js

var input = [ 35, 86, 79, 65, 94, 60, 38, 14, 46, 35, 89, 57, 12, 90, 86, 52, 13, 15, 15, 4, 15, 4, 28, 1, 55, 15, 17, 69, 42, 98, 70,
    85, 63, 86, 40, 18, 92, 81, 36, 33, 29, 89, 48, 3, 87, 91, 58, 37, 16, 47, 44, 93, 56, 53, 33, 86, 100, 71, 58, 41, 29,
    8, 85, 26, 79, 83, 31, 55, 68, 73, 18, 98, 26, 18, 9, 23, 31, 7, 8, 20, 68, 39, 40, 85, 20, 25, 7, 64, 68, 40, 20,
    19, 11, 64, 27, 76, 100, 14, 55, 28, 70, 2, 2, 3, 47, 64, 87, 31, 95, 69, 22, 32, 76, 80, 32, 44, 23, 28, 22, 46, 30,
    20, 77, 45, 45, 76, 72, 72, 54, 90, 71, 72, 83, 95, 70, 100, 23, 14, 95, 1, 70, 3, 80, 31, 18, 56, 66, 7, 65, 30, 69,
    39, 72, 56, 91, 17, 11, 24, 84, 96, 17, 46, 2, 46, 26, 98, 60, 98, 23, 38, 93, 81, 29, 17, 42, 98, 13, 1, 13, 95, 87,
    17, 32, 3, 14, 89, 67, 66, 46, 59, 65, 99, 39, 87, 53, 71, 70, 2, 85, 97, 83, 86, 68, 66, 16, 94, 89, 87, 10, 46, 89,
    31, 48, 83, 53, 67, 41, 24, 39, 51, 99, 96, 100, 7, 61, 78, 64, 26, 66, 48, 8, 6, 16, 21, 26, 45, 12, 34, 14, 80, 25,
    39, 94, 81, 79, 64, 87, 36, 46, 59, 86, 9, 32, 56, 68, 96, 26, 89, 57, 49, 18, 61, 63, 97, 93, 54, 45, 72, 71, 82, 70,
    60, 48, 63, 94, 88, 38, 74, 8, 47, 8, 54, 82, 97, 44, 91, 99, 81, 85, 53, 50, 69, 71, 39, 43, 81, 26, 88, 34, 1, 95,
    5, 35, 15, 38, 95, 25, 97, 61, 21, 39, 73, 78, 72, 83, 10, 39, 14, 68, 89, 39, 82, 42, 4, 31, 45, 86, 6, 90, 79, 12,
    46, 83, 60, 81, 16, 2, 42, 56, 28, 2, 61, 23, 43, 78, 98, 41, 18, 67, 14, 18, 3, 11, 3, 5, 69, 5, 14, 98, 32, 14,
    80, 19, 27, 78, 10, 83, 91, 74, 84, 19, 49, 63, 88, 7, 42, 40, 99, 85, 44, 65, 100, 36, 20, 52, 26, 26, 12, 14, 55, 38,
    32, 94, 92, 16, 18, 41, 45, 53, 76, 8, 58, 85, 51, 81, 97, 97, 12, 94, 20, 84, 84, 72, 69, 18, 7, 91, 19, 42, 80, 85,
    6, 47, 45, 54, 6, 45, 70, 65, 93, 37, 93, 75, 87, 30, 75, 72, 37, 27, 100, 3, 60, 13, 3, 39, 43, 92, 72, 2, 10, 77,
    8, 90, 54, 20, 30, 92, 8, 65, 29, 11, 29, 76, 77, 37, 22, 3, 83, 1, 94, 15, 33, 84, 95, 22, 45, 17, 15, 4, 55, 4,
    58, 60, 2, 12, 89, 62, 60, 12, 87, 40, 18, 14, 69, 35, 32, 30, 24, 1, 86, 32, 96, 64, 68, 70, 26, 91, 41, 24, 86, 16,
    65, 97, 86, 36, 88, 93, 84, 50, 59, 19, 92, 22, 6, 99, 41, 19, 6, 85, 66, 10, 98, 78, 24, 31, 76, 94, 48, 76, 61, 3,
    41, 93, 76, 56, 74, 50, 66, 21, 24, 54, 6, 73, 54, 40, 74, 77, 37, 5, 73, 41, 62, 47, 11, 10, 34, 48, 27, 14, 81, 98,
    85, 47, 48, 87, 28, 92, 21, 33, 3, 5, 33, 19, 49, 21, 74, 17, 28, 83, 4, 5, 76, 25, 22, 44, 82, 6, 11, 63, 100, 98,
    4, 65, 62, 18, 24, 71, 45, 44, 25, 50, 48, 89, 5, 64, 90, 54, 17, 35, 81, 67, 39, 89, 50, 61, 55, 40, 31, 15, 1, 79,
    1, 31, 97, 48, 17, 92, 64, 57, 92, 85, 64, 2, 74, 26, 40, 56, 28, 77, 46, 23, 13, 43, 39, 71, 30, 96, 64, 45, 79, 34,
    97, 2, 58, 58, 83, 84, 58, 14, 30, 62, 94, 47, 41, 7, 46, 83, 36, 32, 34, 77, 12, 55, 72, 45, 58, 42, 73, 87, 71, 86,
    81, 72, 50, 97, 63, 58, 89, 42, 10, 58, 14, 20, 15, 15, 26, 39, 24, 77, 60, 53, 97, 3, 31, 73, 9, 44, 26, 66, 87, 81,
    4, 54, 78, 69, 14, 72, 99, 44, 91, 87, 6, 21, 4, 80, 68, 16, 70, 11, 97, 28, 74, 89, 55, 37, 22, 60, 16, 65, 40, 87,
    16, 75, 60, 8, 81, 52, 99, 33, 50, 98, 44, 36, 85, 23, 62, 17, 49, 34, 57, 56, 28, 38, 39, 79, 35, 53, 88, 18, 87, 5,
    37, 69, 44, 94, 42, 36, 50, 81, 38, 100, 76, 41, 62, 40, 6, 53, 43, 2, 57, 8, 26, 26, 48, 12, 96, 91, 61, 40, 62, 34,
    15, 79, 86, 56, 96, 98, 69, 39, 87, 23, 10, 52, 41, 24, 33, 60, 22, 56, 42, 21, 39, 44, 66, 67, 100, 75, 34, 88, 87, 20,
    42, 34, 82, 62, 31, 29, 87, 54, 79, 7, 52, 46, 47, 2, 57, 62, 15, 76, 100, 94, 33, 39, 87, 32, 51, 59, 86, 10, 52, 73,
    6, 5, 71, 25, 89, 53, 100, 37, 86, 42, 27, 76, 58, 51, 41, 77, 77, 72, 61, 42, 85, 85, 77, 53, 3, 92, 76, 42, 34, 49,
    56, 85, 50, 63, 76, 18, 11, 45, 7, 80, 4, 51, 56, 11, 12, 12, 15, 56, 54, 7, 93, 78, 34, 97, 73, 68, 11, 85, 76, 53,
    58, 93, 87, 29, 28, 70, 58, 81, 94, 41, 64, 64, 4, 54, 75, 18, 89, 14, 10, 93, 40, 50, 28, 91, 54, 11, 76, 39, 34, 93,
    47, 36, 94, 73, 11, 44, 20, 69, 28, 98, 61, 27, 29, 46, 33, 97, 26, 45, 77, 94, 14, 34, 3, 63, 8, 59, 23, 38, 87, 45,
    11, 28, 33, 20, 5, 39, 16, 97, 74, 87, 39, 16, 1, 85, 26, 96, 11, 49, 1, 80, 30, 6, 28, 82, 74, 71, 75, 100, 24, 19,
    89, 21, 35, 31, 18, 75, 67, 39, 52, 61, 68, 43, 92, 34, 27, 81, 2, 13, 16, 27, 15, 23, 45, 33, 4, 80, 56, 74, 39, 87,
    31, 98, 21, 58, 22, 28, 91, 46, 88, 85, 1, 14, 35, 71, 73, 36, 59, 9, 55, 50, 9, 79, 33, 25, 27, 84, 40, 28, 49, 17,
    77, 65, 44, 27, 96, 8, 58, 64, 80, 89, 58, 38, 10, 95, 11, 90, 36, 78, 36, 57, 31, 7, 7, 40, 78, 96, 25, 73, 8, 97,
    43, 88, 75, 98, 35, 58, 62, 19, 5, 84, 46, 53, 96, 13, 73, 27, 58, 78, 88, 26, 9, 16, 93, 74, 51, 18, 34, 57, 53, 55,
    84, 48, 18, 21, 6, 18, 86, 68, 90, 46, 37, 92, 84, 21, 98, 56, 19, 3, 3, 13, 64, 1, 69, 78, 61, 74, 83, 38, 12, 25,
    12, 47, 20, 41, 80, 62, 18, 99, 94, 28, 45, 54, 37, 54, 15, 30, 60, 89, 40, 2, 19, 67, 69, 4, 10, 23, 65, 52, 21, 7,
    54, 91, 97, 74, 42, 87, 31, 41, 83, 24, 31, 97, 63, 60, 83, 18, 50, 80, 25, 39, 45, 68, 94, 47, 20, 52, 35, 48, 5, 36,
    93, 3, 89, 60, 39, 47, 63, 8, 78, 66, 71, 79, 71, 100, 74, 59, 77, 54, 78, 67, 16, 30, 8, 1, 9, 23, 50, 43, 51, 99,
    76, 93, 24, 46, 30, 29, 24, 88, 23, 20, 43, 89, 91, 56, 60, 6, 69, 98, 29, 83, 58, 75, 70, 93, 36, 96, 15, 57, 39, 72,
    15, 37, 54, 82, 61, 40, 72, 75, 88, 74, 3, 38, 23, 42, 60, 55, 93, 60, 25, 6, 46, 21, 60, 36, 11, 23, 20, 28, 39, 92,
    5, 42, 49, 87, 49, 43, 36, 45, 11, 43, 100, 3, 96, 79, 29, 83, 2, 92, 21, 39, 3, 74, 99, 54, 77, 41, 39, 86, 94, 22,
    73, 53, 38, 92, 53, 85, 81, 90, 24, 84, 81, 31, 40, 87, 78, 47, 49, 47, 15, 43, 35, 29, 24, 45, 14, 57, 97, 31, 31, 33,
    1, 64, 80, 54, 12, 12, 75, 45, 78, 75, 30, 73, 73, 4, 71, 26, 80, 31, 11, 23, 98, 72, 8, 14, 48, 21, 83, 78, 42, 24,
    24, 97, 6, 82, 6, 37, 7, 92, 80, 76, 49, 83, 4, 65, 58, 51, 41, 88, 66, 36, 8, 14, 30, 45, 51, 14, 3, 53, 43, 83,
    51, 14, 49, 76, 47, 77, 98, 81, 14, 54, 99, 1, 29, 94, 68, 60, 44, 15, 30, 3, 77, 79, 91, 23, 32, 67, 65, 53, 81, 70,
    66, 34, 24, 39, 65, 76, 60, 47, 95, 84, 97, 36, 28, 74, 67, 38, 77, 50, 78, 39, 18, 7, 51, 18, 29, 52, 68, 100, 44, 43,
    78, 13, 78, 70, 100, 91, 84, 57, 66, 68, 1, 28, 18, 98, 2, 30, 63, 73, 75, 46, 72, 18, 54, 84, 34, 39, 6, 2, 64, 54,
    60, 2, 55, 89, 31, 16, 2, 79, 40, 10, 58, 41, 63, 87, 40, 73, 33, 47, 1, 5, 75, 34, 13, 39, 50, 26, 78, 80, 95, 56,
    26, 97, 98, 32, 7, 64, 95, 74, 50, 48, 100, 74, 24, 20, 65, 97, 63, 71, 60, 31, 85, 88, 93, 56, 14, 100, 6, 94, 90, 33,
    96, 56, 37, 29, 10, 55, 60, 28, 21, 55, 69, 25, 98, 28, 47, 2, 55, 80, 53, 100, 69, 31, 46, 64, 60, 36, 15, 47, 81, 53,
    7, 15, 77, 87, 36, 87, 48, 65, 42, 84, 47, 46, 61, 45, 21, 39, 56, 3, 79, 45, 80, 21, 92, 61, 2, 71, 15, 94, 60, 61,
    71, 16, 16, 44, 54, 34, 95, 62, 65, 85, 86, 58, 99, 30, 39, 30, 98, 49, 32, 26, 78, 82, 15, 25, 99, 21, 39, 87, 71, 4,
    20, 37, 11, 36, 11, 25, 41, 27, 61, 73, 14, 9, 55, 98, 77, 88, 68, 19, 31, 30, 70, 69, 49, 30, 70, 23, 70, 63, 36, 19,
    58, 48, 5, 14, 57, 40, 100, 1, 34, 59, 42, 52, 79, 89, 80, 88, 31, 100, 38, 18, 81, 88, 46, 62, 90, 33, 21, 82, 52, 72,
    88, 60, 100, 82, 5, 79, 76, 87, 76, 40, 55, 34, 44, 1, 23, 52, 100, 81, 72, 100, 54, 31, 69, 78, 1, 66, 73, 21, 37, 83,
    73, 82, 29, 76, 27, 1, 55, 2, 79, 40, 25, 84, 61, 14, 88, 20, 16, 42, 53, 49, 58, 26, 12, 18, 58, 75, 48, 16, 81, 21,
    51, 41, 42, 42, 91, 3, 10, 77, 94, 92, 23, 6, 95, 58, 22, 33, 18, 48, 35, 36, 21, 55, 71, 5, 76, 90, 60, 100, 76, 43,
    45, 47, 2, 71, 81, 26, 34, 37, 31, 15, 61, 47, 73, 98, 30, 92, 50, 77, 94, 29, 67, 81, 14, 36, 8, 92, 31, 53, 10, 83,
    84, 22, 53, 96, 16, 43, 57, 87, 70, 5, 18, 19, 15, 24, 23, 74, 16, 9, 68, 20, 30, 73, 91, 46, 37, 58, 82, 94, 55, 79,
    71, 46, 41, 47, 76, 60, 71, 19, 99, 70, 86, 58, 40, 77, 5, 15, 64, 92, 74, 12, 75, 84, 38, 50, 82, 84, 96, 58, 25, 11,
    100, 84, 60, 98, 99, 64, 80, 90, 42, 78, 31, 53, 52, 92, 32, 38, 29, 75, 6, 20, 50, 11, 36, 41, 71, 52, 92, 15, 4, 88,
    100, 42, 11, 13, 95, 28, 43, 44, 64, 31, 72, 13, 35, 37, 40, 41, 55, 43, 63, 10, 75, 100, 72, 21, 7, 21, 96, 62, 34, 51,
    21, 69, 49, 19, 88, 80, 34, 7, 72, 82, 100, 43, 91, 81, 93, 47, 50, 39, 54, 82, 67, 78, 51, 94, 16, 46, 11, 77, 13, 82,
    19, 35, 96, 38, 97, 91, 75, 75, 20, 70, 65, 57, 30, 1, 83, 50, 17, 30, 40, 11, 94, 9, 77, 48, 96, 1, 47, 79, 5, 84,
    96, 29, 73, 92, 99, 86, 19, 99, 46, 58, 37, 6, 93, 87, 57, 46, 65, 100, 93, 94, 13, 23, 7, 23, 73, 24, 31, 44, 81, 13,
    40, 43, 66, 12, 83, 55, 6, 43, 13, 75, 96, 29, 71, 66, 57, 60, 77, 15, 18, 92, 82, 84, 77, 18, 15, 50, 71, 77, 76, 71,
    85, 97, 7, 27, 87, 75, 33, 41, 80, 20, 59, 60, 96, 92, 72, 61, 100, 92, 2, 21, 12, 47, 16, 78, 63, 74, 75, 28, 67, 27,
    41, 74, 67, 69, 49, 15, 21, 26, 44, 81, 32, 71, 26, 83, 20, 79, 13, 62, 1, 17, 90, 58, 79, 100, 63, 21, 80, 22, 41, 98,
    22, 28, 99, 98, 11, 97, 48, 85, 69, 27, 72, 41, 56, 33, 21, 87, 62, 79, 60, 9, 51, 37, 3, 33, 66, 27, 37, 24, 14, 42,
    32, 42, 7, 28, 56, 81, 11, 87, 77, 51, 75, 96, 15, 26, 73, 6, 95, 66, 90, 67, 87, 20, 80, 88, 56, 89, 57, 98, 44, 77,
    27, 78, 29, 8, 32, 7, 16, 25, 84, 4, 24, 89, 70, 33, 37, 97, 38, 84, 89, 77, 55, 68, 34, 37, 91, 68, 57, 8, 25, 60,
    80, 80, 92, 19, 80, 39, 12, 53, 94, 37, 71, 1, 93, 71, 32, 29, 48, 92, 30, 39, 6, 98, 3, 51, 40, 68, 98, 82, 87, 6,
    27, 79, 16, 86, 8, 78, 84, 82, 84, 62, 41, 45, 82, 53, 10, 62, 47, 31, 91, 25, 65, 79, 5, 13, 52, 34, 9, 94, 94, 58,
    60, 43, 14, 75, 17, 12, 22, 19, 90, 80, 66, 12, 34, 97, 42, 33, 89, 32, 68, 31, 21, 15, 29, 59, 77, 17, 38, 91, 86, 51,
    81, 46, 66, 43, 49, 95, 66, 93, 77, 65, 49, 50, 92, 35, 82, 23, 45, 46, 35, 84, 76, 35, 33, 1, 83, 33, 80, 29, 93, 3,
    10, 82, 28, 60, 33, 15, 8, 38, 65, 49, 82, 86, 46, 1, 98, 96, 78, 20, 62, 23, 90, 34, 21, 94, 33, 17, 89, 48, 11, 24,
    55, 76, 76, 95, 94, 74, 1, 26, 2, 67, 59, 45, 51, 60, 2, 24, 76, 30, 8, 64, 20, 43, 70, 63, 19, 97, 21, 37, 75, 30,
    1, 92, 42, 68, 59, 15, 53, 33, 24, 34, 7, 4, 52, 57, 5, 63, 33, 38, 80, 65, 17, 16, 31, 24, 87, 25, 82, 5, 75, 22,
    22, 36, 13, 51, 18, 42, 49, 58, 31, 74, 22, 34, 17, 65, 47, 69, 3, 63, 4, 75, 9, 21, 59, 3, 96, 46, 98, 95, 37, 76,
    18, 43, 86, 95, 64, 36, 13, 58, 13, 39, 53, 71, 53, 55, 69, 89, 38, 15, 31, 94, 32, 56, 37, 61, 25, 12, 85, 84, 98, 79,
    32, 80, 37, 7, 48, 13, 56, 77, 87, 100, 98, 57, 34, 19, 77, 76, 67, 61, 45, 87, 94, 5, 14, 16, 36, 86, 42, 5, 63, 94,
    66, 73, 48, 44, 11, 2, 24, 32, 65, 52, 79, 93, 94, 92, 16, 98, 71, 43, 63, 6, 39, 27, 35, 6, 53, 68, 83, 82, 56, 23,
    66, 7, 100, 14, 2, 44, 83, 61, 14, 42, 46, 40, 81, 51, 88, 34, 19, 77, 7, 95, 80, 70, 79, 57, 75, 78, 16, 21, 85, 55,
    89, 38, 83, 58, 21, 30, 87, 8, 94, 11, 40, 35, 97, 70, 8, 68, 42, 25, 34, 100, 76, 53, 27, 82, 79, 72, 93, 44, 32, 70,
    70, 22, 63, 76, 52, 36, 62, 93, 29, 25, 8, 15, 30, 23, 95, 60, 38, 2, 96, 54, 52, 92, 73, 54, 21, 46, 43, 92, 92, 96,
    70, 3, 27, 57, 74, 78, 45, 9, 19, 66, 50, 66, 98, 63, 66, 33, 83, 58, 90, 13, 53, 46, 59, 18, 82, 14, 100, 41, 60, 93,
    41, 66, 48, 46, 16, 32, 72, 56, 31, 15, 47, 31, 96, 55, 60, 91, 62, 19, 58, 34, 6, 10, 62, 3, 22, 17, 32, 88, 62, 21,
    75, 38, 89, 17, 55, 6, 8, 3, 2, 98, 96, 23, 31, 46, 36, 19, 57, 72, 37, 76, 43, 88, 2, 23, 35, 81, 23, 21, 84, 11,
    83, 99, 51, 57, 39, 30, 35, 46, 70, 4, 64, 26, 52, 99, 37, 13, 19, 28, 63, 80, 18, 54, 57, 33, 17, 68, 73, 9, 98, 56,
    14, 98, 70, 55, 34, 84, 21, 40, 6, 88, 53, 43, 18, 73, 93, 4, 99, 36, 43, 66, 46, 99, 73, 84, 35, 79, 41, 26, 23, 60,
    75, 38, 53, 38, 5, 62, 87, 77, 6, 48, 48, 9, 1, 48, 33, 43, 34, 78, 42, 51, 46, 36, 55, 45, 29, 31, 96, 55, 96, 96,
    93, 88, 37, 95, 15, 60, 29, 5, 9, 5, 55, 64, 98, 52, 44, 34, 34, 67, 32, 45, 29, 100, 76, 43, 7, 41, 50, 99, 39, 67,
    29, 24, 24, 15, 27, 55, 3, 93, 49, 35, 23, 95, 96, 92, 92, 73, 49, 36, 1, 76, 98, 95, 27, 69, 24, 76, 26, 70, 93, 5,
    42, 37, 29, 29, 69, 51, 46, 90, 39, 75, 69, 56, 97, 52, 64, 7, 91, 89, 78, 43, 26, 94, 89, 30, 31, 42, 98, 88, 31, 36,
    96, 73, 50, 46, 48, 65, 63, 88, 92, 58, 94, 49, 64, 19, 29, 5, 17, 96, 29, 91, 31, 8, 88, 68, 42, 23, 54, 1, 34, 63,
    12, 12, 42, 44, 78, 55, 35, 12, 78, 67, 53, 43, 3, 54, 12, 15, 99, 56, 67, 96, 72, 67, 12, 54, 95, 99, 37, 92, 10, 93,
    10, 73, 53, 76, 82, 41, 10, 76, 72, 25, 91, 73, 39, 87, 29, 9, 46, 12, 25, 18, 31, 10, 25, 76, 16, 75, 90, 82, 86, 55,
    7, 32, 99, 44, 27, 82, 86, 87, 44, 67, 19, 4, 18, 7, 20, 56, 92, 29, 39, 34, 6, 53, 13, 84, 52, 43, 11, 2, 86, 7,
    17, 41, 68, 54, 33, 46, 96, 68, 77, 19, 31, 40, 70, 83, 8, 60, 23, 65, 19, 8, 31, 55, 47, 16, 33, 86, 36, 83, 54, 65,
    58, 50, 20, 29, 64, 5, 100, 77, 25, 17, 90, 61, 62, 75, 62, 17, 70, 44, 24, 15, 35, 62, 12, 13, 59, 86, 16, 78, 82, 50,
    69, 50, 2, 87, 82, 15, 51, 70, 45, 92, 87, 95, 81, 100, 7, 99, 32, 91, 95, 56, 99, 19, 8, 33, 1, 81, 49, 34, 28, 72,
    94, 45, 7, 38, 31, 65, 15, 92, 1, 51, 7, 73, 24, 41, 9, 12, 18, 45, 48, 30, 82, 99, 56, 72, 84, 97, 42, 4, 62, 8,
    39, 98, 37, 27, 77, 81, 64, 6, 60, 1, 61, 77, 15, 40, 74, 10, 44, 37, 29, 38, 2, 54, 8, 81, 80, 90, 82, 89, 76, 83,
    37, 42, 30, 40, 100, 12, 5, 70, 67, 33, 9, 21, 4, 60, 74, 100, 46, 24, 60, 96, 18, 9, 7, 47, 26, 92, 79, 90, 23, 43,
    60, 83, 40, 26, 74, 37, 31, 88, 78, 32, 37, 56, 34, 84, 38, 64, 91, 82, 74, 28, 81, 10, 80, 35, 29, 50, 73, 19, 34, 90,
    35, 86, 69, 75, 14, 20, 43, 82, 96, 44, 73, 30, 56, 80, 95, 72, 94, 19, 60, 83, 62, 96, 38, 84, 20, 1, 56, 75, 47, 99,
    23, 33, 98, 12, 83, 43, 65, 2, 96, 25, 79, 77, 14, 33, 65, 75, 100, 6, 6, 83, 65, 12, 60, 8, 22, 4, 8, 68, 86, 3,
    82, 82, 76, 83, 33, 68, 9, 69, 100, 85, 93, 62, 98, 90, 68, 54, 3, 83, 75, 11, 40, 50, 88, 60, 18, 60, 16, 80, 12, 52,
    81, 6, 96, 82, 61, 46, 13, 70, 53, 53, 50, 100, 21, 79, 71, 45, 95, 43, 3, 75, 6, 98, 38, 6, 7, 29, 20, 73, 18, 15,
    33, 77, 49, 72, 94, 51, 69, 85, 1, 97, 78, 34, 89, 96, 29, 61, 4, 51, 94, 65, 71, 10, 56, 81, 17, 11, 43, 47, 38, 29,
    57, 82, 55, 79, 90, 38, 27, 6, 22, 62, 3, 30, 46, 34, 9, 56, 18, 24, 66, 90, 92, 68, 83, 39, 95, 77, 83, 11, 90, 10,
    9, 32, 28, 49, 19, 94, 9, 78, 33, 22, 5, 56, 49, 25, 33, 1, 2, 34, 66, 74, 29, 5, 34, 26, 82, 42, 3, 56, 92, 54,
    5, 29, 51, 76, 20, 40, 51, 91, 70, 74, 76, 26, 24, 28, 12, 66, 55, 89, 49, 88, 8, 97, 73, 14, 89, 20, 60, 36, 27, 86,
    9, 65, 92, 90, 63, 61, 36, 67, 9, 87, 71, 51, 13, 53, 27, 47, 66, 37, 52, 87, 9, 86, 66, 87, 55, 71, 37, 66, 49, 48,
    26, 75, 53, 9, 15, 75, 88, 73, 80, 57, 99, 89, 97, 32, 72, 1, 63, 6, 88, 14, 9, 61, 8, 94, 72, 92, 4, 30, 48, 28,
    62, 39, 74, 27, 2, 82, 50, 60, 32, 87, 84, 7, 66, 20, 84, 39, 29, 20, 84, 3, 80, 89, 16, 81, 57, 61, 61, 69, 86, 81,
    64, 98, 72, 38, 40, 14, 20, 94, 30, 59, 68, 53, 66, 10, 36, 50, 2, 50, 30, 78, 38, 68, 86, 42, 37, 63, 51, 18, 25, 19,
    90, 61, 39, 41, 23, 4, 20, 54, 62, 65, 73, 69, 58, 48, 37, 56, 36, 48, 64, 18, 1, 60, 67, 99, 93, 47, 76, 99, 57, 62,
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    29, 63, 96, 81, 7, 12, 98, 62, 1, 46, 64, 32, 3, 44, 100, 74, 70, 67, 99, 61, 6, 63, 12, 90, 82, 46, 17, 95, 86, 61,
    99, 65, 95, 58, 19, 68, 80, 44, 94, 78, 86, 5, 68, 67, 82, 22, 2, 13, 25, 84, 84, 75, 98, 5, 11, 74, 11, 2, 58, 26,
    76, 85, 59, 27, 79, 14, 31, 28, 84, 84, 53, 64, 75, 29, 60, 70, 25, 94, 86, 75, 55, 94, 21, 42, 66, 80, 91, 43, 51, 64,
    74, 3, 22, 70, 22, 25, 97, 75, 30, 94, 98, 15, 60, 86, 54, 69, 22, 43, 13, 89, 46, 52, 78, 38, 1, 20, 9, 30, 60, 12,
    69, 52, 48, 83, 58, 18, 14, 90, 11, 72, 26, 28, 57, 35, 91, 63, 65, 20, 93, 92, 41, 32, 56, 77, 41, 34, 81, 43, 50, 2,
    53, 47, 77, 62, 81, 96, 39, 28, 11, 76, 22, 61, 47, 31, 71, 44, 73, 23, 27, 2, 92, 4, 75, 99, 12, 66, 77, 16, 96, 26,
    44, 32, 100, 27, 30, 20, 18, 79, 41, 18, 32, 72, 19, 75, 83, 54, 30, 78, 94, 6, 26, 80, 10, 96, 6, 88, 34, 6, 32, 69,
    38, 6, 77, 99, 73, 82, 33, 62, 94, 24, 6, 60, 75, 84, 94, 82, 40, 67, 86, 95, 63, 65, 66, 72, 62, 26, 83, 4, 95, 73,
    30, 82, 6, 68, 57, 87, 41, 95, 26, 21, 93, 32, 55, 78, 70, 84, 43, 96, 64, 87, 65, 1, 35, 25, 34, 61, 43, 12, 23, 23,
    55, 32, 76, 18, 47, 46, 35, 17, 75, 38, 19, 39, 74, 43, 93, 28, 64, 99, 42, 29, 11, 34, 68, 76, 19, 44, 66, 85, 76, 73,
    90, 40, 28, 2, 40, 18, 55, 30, 100, 1, 29, 92, 22, 78, 85, 24, 24, 57, 14, 4, 22, 6, 53, 100, 32, 18, 70, 25, 84, 39,
    68, 68, 81, 54, 43, 16, 68, 13, 91, 20, 14, 20, 71, 3, 36, 86, 46, 85, 58, 24, 89, 90, 39, 25, 84, 18, 61, 50, 6, 27,
    63, 18, 77, 34, 8, 84, 29, 100, 77, 73, 90, 73, 91, 15, 88, 69, 54, 53, 43, 50, 39, 51, 69, 45, 70, 17, 85, 64, 12, 65,
    29, 54, 75, 67, 16, 45, 17, 89, 84, 80, 60, 28, 62, 39, 8, 20, 76, 41, 82, 23, 90, 97, 87, 68, 34, 47, 70, 54, 31, 53,
    43, 39, 89, 32, 64, 51, 81, 30, 82, 63, 47, 24, 31, 38, 69, 53, 74, 30, 66, 46, 40, 67, 43, 64, 50, 16, 30, 95, 5, 11,
    93, 100, 36, 37, 45, 39, 18, 93, 52, 13, 48, 4, 50, 92, 74, 6, 88, 56, 83, 38, 92, 66, 96, 44, 23, 84, 30, 64, 77, 51,
    23, 88, 18, 7, 8, 51, 89, 97, 84, 62, 42, 65, 16, 51, 37, 40, 57, 67, 71, 88, 23, 43, 41, 88, 20, 37, 58, 49, 49, 87,
    89, 95, 96, 35, 98, 55, 81, 71, 79, 98, 18, 62, 1, 55, 26, 66, 68, 55, 72, 86, 11, 48, 77, 38, 100, 40, 27, 18, 99, 97,
    80, 22, 47, 93, 9, 10, 21, 43, 13, 23, 2, 34, 41, 95, 96, 22, 49, 2, 1, 84, 83, 2, 10, 22, 92, 87, 49, 33, 23, 84,
    71, 41, 10, 85, 93, 92, 62, 29, 100, 38, 88, 75, 74, 53, 76, 6, 32, 50, 8, 65, 48, 8, 1, 38, 11, 82, 67, 70, 89, 27,
    92, 70, 24, 15, 48, 100, 70, 90, 12, 87, 35, 27, 55, 90, 6, 33, 84, 37, 42, 55, 94, 47, 41, 14, 8, 45, 61, 57, 23, 40,
    30, 23, 8, 76, 2, 14, 35, 90, 37, 49, 90, 67, 71, 42, 99, 89, 97, 65, 60, 70, 3, 78, 56, 62, 99, 13, 61, 70, 99, 65,
    4, 67, 4, 52, 31, 14, 61, 61, 19, 73, 32, 75, 78, 54, 16, 39, 68, 70, 47, 12, 7, 6, 27, 10, 78, 72, 97, 44, 78, 93,
    99, 86, 72, 86, 30, 28, 34, 26, 29, 49, 64, 96, 19, 65, 15, 85, 35, 5, 42, 46, 39, 9, 79, 78, 12, 20, 73, 76, 4, 32,
    49, 100, 72, 65, 36, 12, 21, 74, 80, 91, 33, 32, 81, 28, 34, 46, 37, 23, 5, 54, 44, 38, 46, 30, 88, 77, 64, 38, 72, 2,
    12, 33, 20, 40, 85, 59, 90, 12, 33, 23, 65, 47, 73, 19, 25, 71, 7, 66, 53, 95, 11, 42, 33, 72, 60, 63, 78, 31, 83, 78,
    90, 38, 12, 28, 45, 9, 47, 26, 64, 13, 6, 84, 12, 51, 31, 31, 37, 90, 60, 33, 38, 5, 25, 80, 72, 34, 23, 2, 36, 40,
    71, 82, 48, 62, 67, 26, 43, 91, 4, 1, 14, 9, 81, 8, 70, 14, 25, 32, 21, 37, 27, 65, 54, 61, 8, 30, 39, 5, 42, 100,
    56, 5, 77, 68, 23, 99, 12, 15, 61, 38, 71, 39, 82, 50, 69, 43, 83, 27, 55, 44, 65, 65, 76, 35, 65, 70, 31, 13, 65, 51,
    76, 95, 42, 8, 69, 9, 28, 95, 1, 3, 76, 21, 92, 36, 34, 97, 16, 89, 48, 91, 87, 62, 75, 84, 92, 86, 41, 84, 96, 100,
    25, 74, 41, 52, 14, 82, 57, 22, 14, 95, 41, 18, 64, 9, 23, 33, 83, 82, 25, 66, 83, 39, 78, 48, 11, 45, 16, 31, 6, 7,
    27, 17, 35, 58, 67, 7, 97, 20, 16, 76, 35, 7, 33, 28, 88, 61, 13, 66, 54, 16, 93, 82, 45, 65, 44, 100, 18, 45, 41, 59,
    83, 19, 57, 8, 22, 86, 92, 21, 3, 84, 19, 80, 17, 32, 51, 98, 63, 7, 8, 43, 90, 46, 29, 70, 73, 29, 29, 15, 5, 4,
    20, 53, 18, 48, 26, 93, 9, 68, 60, 54, 51, 41, 17, 58, 61, 44, 20, 59, 25, 48, 68, 4, 42, 7, 50, 71, 62, 88, 39, 82,
    70, 10, 45, 49, 24, 46, 8, 88, 50, 86, 50, 79, 42, 82, 26, 52, 70, 81, 19, 31, 36, 95, 50, 77, 88, 79, 74, 47, 29, 90,
    28, 9, 44, 62, 57, 98, 54, 54, 73, 42, 85, 46, 14, 81, 60, 18, 54, 88, 34, 9, 35, 52, 90, 59, 92, 25, 44, 29, 35, 11,
    92, 46, 17, 42, 35, 11, 85, 75, 66, 65, 65, 45, 50, 27, 84, 67, 54, 14, 72, 61, 39, 24, 72, 97, 61, 11, 45, 90, 46, 89,
    57, 88, 96, 20, 68, 48, 100, 56, 79, 99, 96, 70, 76, 83, 95, 72, 48, 89, 64, 40, 31, 8, 90, 6, 49, 37, 71, 7, 30, 79,
    61, 83, 10, 90, 16, 15, 6, 94, 2, 56, 63, 99, 32, 2, 15, 53, 50, 51, 77, 91, 9, 67, 10, 28, 2, 72, 18, 99, 63, 40,
    47, 77, 77, 72, 87, 92, 23, 92, 14, 87, 81, 39, 60, 34, 39, 49, 77, 54, 75, 75, 98, 17, 20, 80, 16, 53, 56, 92, 72, 77,
    11, 14, 14, 8, 13, 8, 3, 31, 82, 31, 67, 72, 20, 80, 83, 64, 16, 40, 25, 63, 91, 21, 26, 48, 19, 71, 51, 83, 68, 27,
    45, 58, 58, 49, 35, 61, 56, 82, 53, 68, 4, 96, 15, 22, 36, 61, 59, 82, 38, 18, 86, 45, 22, 85, 37, 83, 31, 23, 58, 27,
    27, 46, 70, 93, 94, 97, 32, 12, 7, 66, 85, 80, 89, 13, 84, 52, 12, 65, 54, 68, 58, 77, 84, 92, 66, 20, 36, 85, 61, 44,
    28, 74, 42, 20, 61, 14, 41, 98, 25, 46, 24, 84, 73, 50, 27, 8, 96, 80, 52, 69, 44, 66, 51, 71, 86, 82, 82, 9, 96, 40,
    10, 42, 39, 14, 79, 45, 60, 9, 27, 55, 88, 28, 68, 33, 17, 86, 73, 90, 95, 14, 78, 48, 38, 69, 44, 69, 56, 70, 35, 20,
    34, 28, 59, 97, 75, 46, 75, 54, 74, 91, 17, 3, 80, 56, 16, 25, 95, 8, 4, 18, 53, 62, 59, 90, 33, 62, 21, 35, 56, 22,
    91, 45, 56, 6, 33, 89, 69, 46, 21, 99, 64, 90, 99, 65, 42, 70, 29, 9, 40, 69, 40, 8, 51, 10, 76, 26, 71, 38, 36, 81,
    71, 46, 24, 19, 72, 70, 57, 77, 3, 4, 5, 75, 89, 42, 44, 6, 56, 28, 5, 79, 84, 77, 57, 82, 40, 92, 68, 11, 59, 18,
    23, 25, 44, 64, 15, 71, 9, 55, 78, 68, 71, 22, 62, 67, 3, 20, 78, 45, 16, 36, 96, 13, 23, 58, 60, 64, 19, 56, 49, 14,
    76, 27, 32, 23, 27, 7, 46, 55, 9, 89, 22, 100, 71, 7, 27, 59, 88, 18, 3, 71, 29, 20, 72, 10, 92, 91, 45, 45, 67, 32,
    33, 48, 16, 84, 95, 97, 69, 100, 8, 77, 84, 4, 32, 86, 3, 64, 35, 16, 45, 38, 35, 41, 26, 25, 11, 99, 45, 73, 76, 29,
    77, 45, 26, 9, 30, 54, 40, 2, 53, 12, 2, 18, 58, 21, 96, 28, 73, 20, 3, 33, 22, 11, 28, 93, 64, 41, 90, 18, 60, 34,
    1, 66, 84, 65, 1, 68, 56, 9, 92, 34, 64, 4, 13, 23, 58, 69, 69, 25, 89, 22, 63, 76, 24, 100, 61, 43, 15, 46, 61, 72,
    50, 24, 35, 69, 85, 71, 27, 88, 49, 80, 47, 38, 52, 17, 55, 93, 40, 21, 97, 10, 23, 36, 90, 67, 77, 65, 51, 97, 62, 20,
    92, 1, 90, 56, 67, 24, 58, 38, 97, 80, 78, 83, 22, 28, 42, 15, 26, 61, 70, 59, 92, 52, 80, 76, 18, 95, 67, 27, 56, 97,
    3, 27, 19, 84, 26, 72, 77, 18, 62, 39, 8, 89, 29, 44, 82, 85, 60, 90, 26, 83, 94, 46, 54, 59, 78, 42, 12, 44, 61, 50,
    92, 85, 35, 86, 59, 56, 32, 76, 14, 49, 17, 51, 85, 34, 41, 99, 62, 4, 6, 9, 70, 66, 69, 14, 27, 51, 41, 31, 80, 26,
    4, 38, 2, 43, 59, 48, 67, 50, 91, 45, 64, 49, 97, 58, 34, 83, 45, 32, 53, 100, 79, 87, 96, 2, 18, 24, 69, 84, 25, 45,
    38, 70, 12, 83, 48, 76, 56, 28, 54, 15, 68, 10, 28, 71, 87, 53, 24, 97, 52, 99, 61, 54, 8, 74, 18, 65, 89, 83, 61, 7,
    66, 75, 18, 35, 51, 66, 58, 33, 13, 68, 25, 68, 61, 25, 86, 100, 51, 38, 92, 8, 72, 74, 2, 25, 90, 15, 14, 39, 82, 53,
    83, 67, 94, 79, 92, 36, 81, 36, 30, 59, 26, 65, 89, 71, 99, 41, 58, 79, 84, 79, 59, 21, 82, 42, 5, 19, 7, 35, 50, 56,
    65, 51, 54, 8, 28, 23, 61, 68, 46, 78, 38, 10, 50, 56, 87, 93, 60, 88, 18, 42, 89, 94, 34, 20, 58, 76, 24, 33, 48, 86,
    49, 13, 5, 67, 6, 6, 7, 86, 56, 14, 77, 11, 40, 77, 31, 23, 31, 6, 65, 46, 31, 48, 34, 34, 25, 60, 46, 11, 97, 36,
    26, 62, 89, 91, 19, 79, 34, 45, 27, 32, 86, 98, 47, 7, 56, 26, 75, 62, 63, 81, 22, 98, 15, 30, 74, 55, 53, 50, 29, 3,
    25, 73, 11, 27, 80, 30, 23, 57, 32, 18, 72, 13, 3, 38, 25, 26, 51, 65, 46, 43, 58, 13, 40, 46, 18, 67, 25, 45, 32, 98,
    26, 58, 45, 72, 58, 76, 14, 64, 86, 30, 79, 36, 6, 3, 46, 9, 2, 90, 57, 51, 78, 78, 52, 12, 26, 83, 83, 98, 95, 13,
    94, 73, 21, 2, 94, 53, 45, 10, 93, 85, 92, 84, 42, 54, 58, 19, 62, 86, 46, 74, 36, 85, 34, 8, 55, 31, 14, 43, 71, 39,
    90, 84, 11, 3, 56, 5, 38, 51, 47, 50, 71, 7, 64, 63, 51, 54, 74, 50, 16, 47, 54, 53, 58, 39, 90, 79, 63, 3, 64, 59,
    86, 32, 82, 57, 60, 41, 52, 56, 26, 88, 42, 51, 13, 76, 41, 74, 74, 49, 38, 2, 18, 99, 58, 49, 95, 22, 68, 7, 97, 56,
    63, 31, 13, 74, 5, 26, 6, 100, 47, 7, 6, 96, 18, 2, 73, 85, 28, 76, 97, 51, 99, 79, 71, 22, 98, 65, 22, 73, 69, 16,
    86, 78, 99, 3, 7, 99, 43, 82, 90, 34, 18, 2, 49, 1, 26, 76, 96, 6, 92, 99, 90, 90, 62, 79, 84, 88, 11, 50, 62, 18,
    4, 43, 100, 91, 10, 77, 18, 66, 20, 84, 90, 100, 4, 68, 5, 50, 46, 7, 2, 65, 41, 85, 31, 99, 71, 77, 83, 42, 42, 45,
    92, 82, 4, 58, 23, 54, 26, 28, 56, 39, 74, 14, 9, 42, 91, 30, 71, 77, 45, 80, 21, 2, 90, 96, 60, 83, 3, 81, 6, 95,
    91, 58, 60, 46, 90, 60, 38, 44, 22, 96, 29, 83, 100, 4, 70, 83, 2, 25, 59, 10, 55, 22, 41, 16, 75, 59, 69, 6, 18, 72,
    96, 71, 74, 67, 45, 33, 44, 8, 20, 75, 100, 61, 74, 86, 87, 88, 5, 66, 29, 73, 60, 63, 90, 90, 92, 70, 32, 91, 16, 35,
    48, 54, 64, 58, 13, 31, 18, 83, 25, 66, 44, 41, 55, 92, 37, 56, 3, 48, 22, 100, 76, 57, 28, 80, 61, 12, 62, 6, 83, 6,
    40, 78, 88, 44, 75, 65, 40, 31, 61, 66, 77, 41, 53, 39, 10, 89, 69, 85, 12, 72, 31, 55, 62, 6, 37, 97, 91, 43, 96, 57,
    75, 80, 42, 70, 62, 99, 52, 79, 9, 100, 25, 7, 88, 56, 32, 40, 7, 69, 35, 30, 3, 76, 50, 11, 94, 32, 27, 73, 57, 68,
    4, 92, 81, 20, 93, 25, 39, 17, 64, 38, 78, 46, 73, 66, 49, 65, 23, 2, 25, 51, 15, 53, 89, 1, 76, 45, 4, 55, 48, 60,
    98, 14, 74, 87, 6, 31, 81, 43, 56, 94, 48, 12, 1, 31, 97, 94, 58, 7, 80, 59, 5, 16, 2, 45, 99, 43, 59, 65, 43, 11,
    98, 21, 80, 62, 35, 88, 32, 14, 58, 45, 56, 79, 80, 77, 92, 71, 96, 16, 55, 6, 35, 90, 72, 17, 30, 34, 83, 7, 71, 71,
    13, 12, 21, 25, 53, 65, 41, 13, 35, 84, 35, 77, 32, 18, 22, 66, 94, 32, 69, 74, 88, 20, 77, 29, 23, 67, 87, 3, 7, 91,
    54, 67, 21, 95, 33, 49, 11, 63, 89, 79, 72, 80, 1, 99, 41, 48, 21, 23, 20, 88, 57, 10, 18, 86, 29, 77, 29, 18, 12, 2,
    51, 4, 15, 2, 70, 76, 30, 21, 24, 20, 29, 44, 80, 36, 57, 75, 59, 91, 1, 32, 48, 28, 32, 95, 24, 14, 34, 2, 27, 56,
    88, 28, 50, 75, 79, 48, 79, 4, 51, 48, 54, 4, 44, 8, 89, 21, 94, 73, 20, 59, 79, 77, 22, 28, 73, 25, 55, 1, 96, 73,
    24, 25, 15, 83, 94, 97, 57, 77, 28, 41, 91, 32, 25, 46, 7, 1, 59, 20, 92, 58, 98, 24, 40, 56, 28, 16, 25, 14, 52, 87,
    97, 8, 19, 78, 27, 24, 3, 81, 85, 60, 68, 4, 95, 16, 99, 37, 96, 60, 12, 50, 29, 34, 58, 79, 62, 58, 81, 14, 34, 54,
    27, 83, 9, 24, 29, 76, 87, 3, 60, 62, 83, 49, 78, 67, 11, 13, 81, 14, 21, 10, 48, 43, 24, 15, 100, 49, 2, 86, 10, 47,
    15, 89, 2, 40, 75, 4, 22, 68, 21, 75, 51, 58, 66, 43, 37, 45, 90, 52, 83, 72, 2, 46, 23, 31, 34, 34, 99, 28, 92, 10,
    37, 29, 99, 45, 87, 86, 9, 25, 58, 94, 87, 47, 50, 47, 16, 24, 68, 36, 18, 77, 42, 59, 74, 84, 60, 11, 18, 63, 20, 40,
    88, 42, 18, 41, 24, 95, 94, 70, 10, 86, 16, 53, 20, 61, 16, 35, 9, 59, 75, 79, 91, 59, 67, 9, 71, 66, 36, 73, 92, 61,
    31, 13, 63, 31, 14, 81, 38, 73, 17, 18, 70, 72, 32, 53, 9, 74, 5, 16, 68, 86, 92, 28, 40, 32, 5, 88, 65, 95, 72, 61,
    44, 30, 47, 39, 14, 10, 75, 17, 27, 86, 48, 89, 9, 96, 23, 97, 85, 57, 61, 84, 96, 52, 41, 68, 49, 57, 86, 84, 5, 14,
    32, 100, 12, 7, 5, 18, 100, 47, 75, 71, 2, 34, 53, 73, 56, 28, 80, 23, 77, 65, 81, 46, 55, 76, 28, 63, 59, 100, 76, 35,
    48, 89, 16, 2, 55, 70, 68, 50, 70, 91, 41, 49, 52, 40, 48, 37, 69, 60, 98, 87, 3, 60, 53, 25, 23, 27, 99, 25, 69, 38,
    75, 71, 41, 28, 85, 32, 77, 19, 100, 47, 16, 39, 85, 65, 90, 74, 38, 74, 43, 98, 60, 84, 46, 52, 9, 92, 21, 13, 64, 54,
    4, 80, 96, 13, 1, 20, 17, 17, 59, 92, 66, 40, 88, 94, 29, 35, 4, 1, 45, 95, 45, 22, 72, 97, 96, 75, 88, 77, 93, 53,
    6, 60, 58, 100, 2, 68, 38, 70, 8, 33, 1, 19, 39, 2, 75, 4, 85, 5, 66, 25, 13, 78, 16, 55, 56, 60, 40, 71, 97, 46,
    75, 89, 9, 55, 38, 38, 28, 46, 58, 7, 14, 90, 92, 48, 80, 32, 22, 1, 33, 46, 30, 43, 4, 59, 22, 28, 97, 13, 47, 54,
    75, 86, 39, 55, 77, 50, 97, 40, 57, 42, 4, 73, 42, 93, 98, 29, 4, 59, 37, 26, 9, 81, 94, 43, 28, 30, 10, 55, 42, 71,
    90, 40, 15, 91, 79, 30, 57, 57, 84, 11, 21, 99, 89, 73, 5, 28, 46, 51, 36, 15, 63, 19, 40, 10, 10, 38, 81, 6, 46, 3,
    65, 59, 72, 50, 93, 96, 84, 20, 40, 12, 43, 54, 24, 68, 63, 75, 36, 72, 60, 70, 14, 38, 24, 42, 54, 2, 79, 20, 94, 66,
    23, 6, 20, 27, 57, 32, 40, 66, 71, 17, 83, 72, 6, 65, 22, 66, 88, 69, 75, 65, 21, 2, 27, 92, 24, 90, 31, 63, 28, 73,
    40, 40, 88, 78, 87, 19, 30, 65, 26, 87, 1, 4, 27, 55, 78, 21, 32, 70, 85, 10, 23, 41, 69, 100, 94, 32, 12, 18, 16, 76,
    89, 20, 12, 38, 45, 2, 67, 53, 92, 3, 23, 63, 38, 99, 36, 5, 12, 99, 87, 13, 30, 28, 22, 35, 76, 82, 100, 34, 13, 21,
    46, 82, 84, 84, 99, 75, 66, 5, 71, 37, 52, 28, 55, 10, 83, 23, 1, 1, 6, 96, 12, 87, 68, 56, 76, 25, 18, 36, 31, 36,
    59, 73, 41, 69, 74, 58, 17, 43, 35, 66, 9, 1, 81, 36, 43, 27, 45, 25, 61, 79, 60, 10, 79, 12, 71, 12, 5, 78, 26, 5,
    5, 67, 31, 66, 70, 64, 26, 73, 94, 78, 49, 40, 23, 90, 99, 82, 81, 97, 2, 36, 54, 48, 36, 6, 64, 90, 78, 36, 69, 78,
    22, 31, 42, 42, 24, 87, 35, 16, 72, 82, 80, 42, 85, 84, 23, 18, 91, 62, 62, 67, 66, 6, 61, 56, 3, 83, 71, 97, 99, 42,
    4, 37, 64, 83, 70, 29, 57, 48, 69, 50, 96, 37, 10, 55, 73, 40, 63, 33, 95, 91, 39, 14, 69, 97, 87, 94, 82, 38, 76, 44,
    43, 89, 29, 62, 32, 37, 63, 66, 93, 6, 58, 20, 35, 15, 12, 83, 42, 97, 65, 7, 28, 57, 23, 90, 28, 23, 15, 69, 43, 47,
    30, 94, 38, 42, 88, 32, 77, 75, 85, 88, 21, 80, 93, 65, 65, 31, 69, 65, 7, 30, 10, 89, 34, 59, 21, 55, 92, 4, 30, 15,
    27, 56, 12, 21, 49, 65, 3, 96, 98, 86, 15, 88, 11, 23, 35, 17, 10, 60, 55, 47, 62, 78, 61, 88, 45, 23, 52, 28, 70, 75,
    14, 49, 49, 3, 70, 35, 37, 51, 52, 65, 74, 19, 32, 21, 34, 29, 96, 79, 99, 4, 44, 60, 11, 9, 23, 53, 73, 85, 19, 54,
    12, 35, 84, 22, 34, 54, 19, 13, 18, 11, 20, 2, 93, 8, 41, 66, 96, 29, 69, 1, 95, 62, 64, 61, 35, 85, 39, 91, 91, 42,
    47, 34, 81, 24, 90, 54, 21, 24, 72, 69, 50, 61, 99, 23, 40, 79, 55, 4, 67, 96, 67, 70, 93, 48, 94, 40, 68, 91, 24, 62,
    81, 92, 27, 19, 27, 12, 17, 81, 52, 52, 94, 40, 65, 11, 25, 49, 46, 18, 88, 84, 3, 53, 96, 13, 79, 85, 70, 83, 71, 55,
    81, 60, 13, 49, 37, 60, 8, 17, 78, 92, 56, 23, 69, 59, 44, 3, 96, 81, 38, 55, 34, 40, 86, 37, 64, 24, 44, 72, 24, 81,
    76, 29, 40, 53, 66, 36, 1, 64, 18, 34, 41, 59, 57, 32, 61, 80, 22, 95, 42, 89, 70, 18, 41, 59, 27, 14, 50, 13, 40, 1,
    77, 77, 26, 62, 75, 82, 65, 44, 32, 44, 65, 10, 53, 21, 50, 30, 63, 93, 7, 82, 1, 88, 82, 95, 82, 17, 55, 40, 65, 2,
    49, 100, 41, 35, 99, 48, 15, 25, 68, 58, 78, 39, 86, 18, 85, 36, 56, 37, 89, 56, 38, 5, 7, 29, 97, 67, 19, 23, 76, 60,
    93, 46, 47, 78, 36, 61, 20, 14, 67, 91, 51, 13, 85, 89, 19, 30, 72, 3, 6, 30, 81, 32, 40, 17, 58, 59, 20, 26, 91, 10,
    22, 77, 97, 96, 89, 100, 100, 39, 11, 50, 82, 100, 79, 35, 77, 45, 42, 85, 83, 86, 35, 62, 26, 2, 4, 71, 17, 24, 98, 53,
    69, 56, 40, 3, 67, 58, 14, 67, 82, 79, 84, 54, 89, 40, 28, 51, 8, 20, 49, 20, 48, 47, 27, 76, 27, 99, 98, 28, 81, 3,
    30, 49, 50, 99, 38, 74, 68, 58, 71, 21, 97, 58, 34, 92, 1, 86, 69, 50, 89, 45, 29, 68, 13, 93, 89, 100, 1, 21, 81, 73,
    33, 22, 90, 89, 18, 59, 9, 74, 28, 35, 1, 84, 50, 15, 4, 29, 39, 46, 89, 59, 94, 54, 10, 37, 24, 57, 69, 45, 29, 31,
    82, 44, 89, 57, 33, 46, 44, 48, 35, 61, 50, 32, 20, 43, 97, 22, 50, 43, 11, 68, 92, 77, 47, 34, 59, 92, 96, 60, 52, 80,
    50, 4, 4, 5, 55, 73, 1, 16, 96, 47, 36, 26, 86, 23, 30, 85, 40, 59, 24, 79, 62, 23, 78, 14, 29, 47, 31, 8, 54, 81,
    6, 10, 30, 81, 80, 2, 46, 90, 33, 19, 90, 61, 90, 47, 24, 20, 3, 80, 87, 85, 10, 13, 46, 60, 62, 94, 89, 49, 79, 77,
    35, 58, 56, 87, 60, 23, 59, 5, 72, 66, 29, 72, 78, 76, 79, 62, 4, 56, 66, 96, 46, 38, 78, 73, 7, 13, 2, 24, 14, 84,
    74, 74, 86, 83, 39, 62, 38, 28, 10, 78, 54, 21, 30, 58, 79, 84, 49, 83, 92, 25, 6, 57, 76, 81, 31, 68, 21, 58, 12, 15,
    90, 29, 81, 41, 99, 13, 84, 77, 59, 19, 45, 80, 56, 45, 17, 26, 65, 7, 13, 92, 15, 17, 52, 43, 69, 21, 77, 15, 59, 60,
    96, 49, 32, 67, 15, 6, 64, 10, 90, 97, 53, 43, 41, 44, 77, 88, 87, 89, 19, 47, 77, 88, 59, 96, 28, 14, 85, 25, 63, 9,
    65, 6, 37, 93, 25, 47, 32, 36, 97, 9, 35, 25, 69, 93, 92, 35, 32, 26, 95, 87, 25, 86, 36, 25, 21, 48, 70, 59, 95, 81,
    54, 42, 51, 99, 94, 45, 59, 97, 20, 99, 16, 69, 99, 64, 93, 32, 5, 80, 34, 82, 65, 28, 51, 58, 43, 77, 30, 35, 55, 77,
    93, 82, 71, 63, 87, 9, 9, 6, 56, 2, 25, 14, 88, 14, 85, 85, 94, 4, 20, 37, 27, 78, 89, 9, 6, 99, 84, 17, 72, 91,
    93, 32, 90, 84, 62, 75, 83, 36, 11, 14, 83, 54, 61, 6, 79, 35, 26, 36, 65, 82, 6, 86, 1, 49, 31, 30, 28, 91, 88, 36,
    55, 71, 73, 38, 18, 60, 30, 39, 60, 84, 39, 62, 74, 42, 90, 72, 44, 6, 19, 43, 48, 51, 32, 93, 50, 82, 39, 29, 98, 47,
    9, 96, 43, 66, 100, 2, 18, 92, 84, 27, 32, 58, 26, 91, 81, 45, 25, 50, 26, 95, 66, 85, 67, 32, 8, 43, 79, 94, 79, 73,
    81, 79, 23, 73, 10, 9, 35, 30, 59, 24, 85, 61, 84, 69, 18, 96, 19, 91, 26, 20, 42, 69, 92, 47, 92, 66, 9, 97, 65, 23,
    7, 33, 94, 61, 78, 28, 18, 66, 50, 49, 87, 43, 41, 14, 72, 88, 76, 78, 5, 53, 82, 8, 31, 83, 71, 3, 60, 2, 18, 70,
    27, 3, 43, 45, 17, 72, 84, 84, 56, 38, 21, 92, 78, 21, 31, 10, 87, 39, 40, 22, 96, 58, 44, 5, 19, 33, 51, 47, 38, 14,
    35, 39, 65, 49, 62, 39, 98, 47, 1, 77, 17, 96, 60, 31, 51, 33, 8, 89, 62, 94, 85, 34, 41, 3, 43, 63, 96, 75, 41, 3,
    72, 87, 14, 40, 36, 65, 9, 6, 25, 24, 14, 9, 43, 55, 70, 42, 10, 14, 27, 38, 75, 47, 32, 72, 53, 87, 12, 20, 18, 25,
    59, 10, 34, 16, 98, 5, 76, 24, 100, 29, 65, 37, 1, 31, 64, 89, 83, 46, 11, 34, 28, 38, 13, 46, 84, 75, 96, 3, 92, 54,
    43, 32, 43, 74, 88, 52, 37, 26, 54, 91, 69, 94, 81, 3, 7, 57, 29, 100, 20, 53, 29, 22, 87, 42, 44, 60, 24, 6, 26, 6,
    44, 76, 97, 23, 5, 54, 19, 84, 45, 98, 80, 53, 1, 73, 77, 22, 31, 44, 45, 68, 37, 69, 28, 5, 69, 92, 65, 98, 71, 51,
    74, 88, 35, 46, 7, 32, 30, 59, 78, 50, 34, 10, 20, 33, 84, 95, 1, 98, 74, 50, 21, 58, 32, 77, 27, 81, 1, 76, 39, 6,
    98, 86, 100, 53, 68, 49, 75, 41, 10, 91, 95, 63, 48, 78, 97, 82, 94, 57, 71, 3, 14, 19, 67, 69, 8, 33, 65, 28, 68, 39,
    30, 85, 57, 41, 52, 70, 17, 49, 71, 32, 51, 13, 40, 81, 71, 92, 67, 97, 65, 18, 92, 51, 6, 12, 71, 74, 4, 55, 26, 48,
    43, 7, 12, 56, 76, 20, 66, 60, 37, 82, 51, 47, 57, 2, 4, 10, 62, 16, 5, 85, 83, 15, 76, 20, 71, 20, 85, 32, 61, 96,
    74, 26, 17, 84, 93, 85, 68, 61, 98, 50, 5, 84, 28, 67, 19, 77, 87, 29, 20, 28, 40, 60, 1, 8, 42, 66, 99, 74, 61, 99,
    80, 98, 100, 31, 72, 84, 49, 33, 29, 5, 35, 35, 2, 34, 34, 48, 62, 38, 20, 57, 4, 11, 45, 12, 60, 21, 39, 50, 85, 40,
    88, 76, 51, 94, 93, 91, 96, 5, 12, 8, 37, 90, 65, 40, 84, 18, 99, 71, 79, 90, 26, 55, 91, 34, 68, 42, 73, 27, 39, 36,
    29, 81, 80, 83, 51, 82, 53, 67, 2, 74, 56, 47, 72, 45, 17, 15, 56, 64, 95, 75, 51, 55, 29, 47, 49, 78, 82, 67, 95, 91,
    72, 76, 82, 75, 65, 41, 41, 89, 81, 42, 44, 92, 73, 19, 48, 61, 23, 91, 35, 67, 80, 25, 83, 88, 82, 42, 62, 77, 41, 89,
    38, 45, 31, 2, 41, 75, 16, 32, 4, 99, 59, 49, 71, 55, 1, 88, 97, 25, 69, 29, 85, 82, 83, 51, 24, 54, 26, 88, 100, 87,
    53, 85, 2, 9, 52, 33, 67, 35, 61, 14, 17, 66, 63, 82, 26, 51, 32, 4, 99, 11, 49, 70, 19, 8, 29, 98, 75, 87, 10, 46,
    98, 27, 49, 1, 5, 33, 67, 30, 17, 96, 67, 6, 67, 41, 2, 87, 14, 93, 94, 11, 64, 44, 36, 52, 49, 64, 79, 63, 66, 3,
    74, 13, 52, 58, 25, 14, 83, 72, 50, 85, 92, 36, 31, 59, 42, 92, 39, 30, 17, 77, 94, 79, 30, 10, 29, 47, 57, 17, 41, 41,
    75, 85, 92, 57, 39, 18, 63, 46, 76, 12, 10, 93, 79, 58, 94, 74, 13, 69, 38, 52, 10, 78, 50, 30, 66, 19, 9, 16, 83, 25,
    37, 15, 99, 26, 71, 47, 6, 59, 49, 42, 90, 10, 76, 52, 30, 17, 9, 98, 33, 90, 88, 74, 86, 48, 98, 81, 67, 56, 71, 29,
    96, 3, 3, 33, 56, 56, 73, 100, 35, 63, 72, 18, 97, 12, 70, 57, 11, 69, 53, 7, 65, 29, 66, 42, 29, 50, 25, 42, 9, 13,
    23, 44, 98, 34, 45, 89, 78, 47, 60, 92, 33, 62, 7, 61, 17, 83, 11, 1, 15, 84, 95, 73, 86, 100, 49, 28, 61, 29, 94, 90,
    78, 58, 16, 10, 81, 48, 7, 39, 68, 78, 3, 9, 65, 73, 58, 51, 25, 54, 44, 29, 93, 11, 51, 79, 99, 45, 28, 87, 28, 41,
    13, 6, 73, 22, 45, 59, 46, 76, 41, 51, 22, 78, 80, 21, 8, 80, 46, 98, 37, 38, 100, 86, 68, 61, 48, 33, 42, 1, 16, 96,
    7, 72, 45, 16, 79, 15, 82, 87, 18, 9, 99, 35, 6, 79, 66, 96, 68, 83, 68, 34, 61, 34, 71, 14, 74, 64, 63, 70, 79, 18,
    42, 85, 22, 78, 41, 94, 18, 78, 27, 59, 44, 85, 78, 49, 77, 77, 5, 19, 76, 19, 34, 38, 66, 60, 46, 45, 24, 67, 49, 69,
    48, 73, 92, 40, 7, 73, 29, 28, 51, 32, 2, 57, 99, 36, 90, 36, 20, 15, 9, 79, 88, 29, 3, 33, 24, 84, 87, 87, 32, 59,
    7, 30, 61, 15, 51, 5, 16, 22, 6, 86, 27, 3, 89, 96, 44, 4, 77, 97, 38, 51, 84, 43, 52, 53, 17, 9, 92, 96, 53, 28,
    95, 38, 15, 18, 3, 39, 98, 8, 68, 54, 2, 51, 12, 75, 88, 68, 61, 39, 11, 74, 12, 93, 89, 86, 71, 51, 55, 44, 81, 75,
    32, 60, 64, 41, 15, 39, 76, 43, 19, 36, 21, 22, 63, 47, 78, 61, 1, 71, 54, 19, 13, 13, 34, 43, 67, 68, 18, 12, 44, 14,
    89, 21, 37, 33, 15, 93, 93, 28, 79, 88, 82, 30, 70, 19, 1, 90, 69, 67, 68, 66, 8, 78, 64, 72, 17, 88, 95, 38, 87, 34,
    5, 65, 100, 50, 70, 64, 58, 98, 24, 16, 87, 5, 66, 87, 61, 83, 100, 27, 29, 45, 76, 94, 61, 68, 81, 10, 64, 91, 52, 33,
    1, 99, 25, 52, 79, 65, 65, 86, 83, 79, 79, 20, 81, 95, 28, 1, 36, 14, 43, 40, 89, 27, 43, 7, 20, 15, 17, 97, 50, 21,
    87, 91, 48, 52, 79, 54, 75, 53, 54, 74, 45, 88, 56, 92, 7, 40, 23, 39, 20, 50, 31, 6, 100, 66, 28, 29, 16, 2, 73, 44,
    3, 66, 94, 60, 100, 16, 41, 45, 62, 23, 77, 18, 80, 76, 71, 49, 68, 11, 44, 80, 60, 84, 12, 50, 14, 27, 42, 62, 5, 14,
    61, 95, 84, 96, 95, 76, 11, 46, 64, 40, 37, 38, 65, 62, 68, 72, 9, 19, 6, 65, 88, 54, 18, 9, 47, 60, 93, 32, 39, 93,
    99, 67, 9, 21, 66, 69, 1, 34, 38, 93, 20, 27, 88, 61, 59, 90, 32, 43, 30, 24, 43, 46, 41, 83, 19, 71, 40, 6, 82, 96,
    18, 56, 17, 33, 99, 59, 11, 61, 36, 1, 88, 14, 33, 63, 7, 31, 43, 87, 56, 40, 76, 4, 100, 76, 17, 7, 67, 16, 78, 27,
    64, 93, 77, 36, 53, 12, 72, 24, 13, 70, 40, 56, 52, 16, 27, 19, 54, 80, 94, 50, 32, 51, 70, 16, 61, 41, 38, 13, 39, 91,
    93, 13, 23, 23, 85, 19, 70, 51, 57, 73, 37, 28, 7, 93, 51, 47, 88, 96, 22, 38, 20, 15, 8, 74, 91, 26, 57, 17, 20, 74,
    54, 81, 48, 52, 86, 6, 49, 96, 72, 82, 23, 97, 44, 29, 67, 22, 99, 5, 4, 76, 73, 90, 49, 81, 15, 29, 74, 83, 9, 98,
    35, 100, 9, 24, 35, 43, 34, 55, 44, 45, 45, 33, 48, 87, 32, 57, 12, 36, 100, 44, 13, 73, 7, 97, 61, 81, 24, 36, 52, 23,
    49, 77, 31, 59, 21, 81, 100, 29, 61, 52, 97, 7, 7, 21, 69, 32, 100, 75, 44, 71, 29, 1, 27, 13, 41, 22, 69, 36, 78, 95,
    100, 22, 34, 51, 29, 52, 21, 5, 54, 84, 26, 94, 42, 9, 63, 2, 32, 85, 84, 52, 76, 26, 93, 93, 31, 71, 8, 9, 88, 53,
    38, 22, 7, 50, 15, 21, 81, 83, 76, 27, 99, 98, 85, 59, 3, 3, 80, 15, 22, 28, 7, 77, 66, 79, 6, 9, 99, 100, 15, 78,
    99, 59, 6, 21, 95, 76, 83, 86, 93, 34, 38, 41, 68, 42, 43, 53, 82, 32, 74, 22, 16, 95, 71, 21, 65, 68, 31, 69, 81, 51,
    97, 36, 35, 18, 91, 93, 35, 42, 64, 82, 18, 86, 86, 24, 75, 75, 79, 37, 54, 46, 72, 5, 79, 9, 75, 46, 86, 24, 45, 83,
    11, 44, 64, 56, 83, 18, 14, 8, 47, 52, 64, 38, 64, 64, 31, 87, 26, 10, 64, 56, 60, 56, 49, 23, 37, 10, 30, 73, 34, 88,
    69, 23, 99, 24, 14, 38, 80, 57, 28, 8, 6, 31, 73, 13, 98, 52, 67, 24, 69, 6, 38, 5, 86, 32, 29, 77, 84, 28, 62, 33,
    77, 74, 68, 3, 96, 32, 26, 7, 42, 92, 25, 57, 92, 48, 19, 65, 37, 37, 66, 74, 39, 14, 76, 3, 48, 34, 61, 81, 52, 31,
    12, 92, 46, 18, 33, 93, 72, 12, 83, 87, 10, 94, 63, 95, 21, 92, 98, 30, 38, 58, 61, 59, 48, 86, 93, 1, 43, 2, 83, 91,
    58, 22, 99, 61, 76, 6, 3, 29, 10, 18, 68, 99, 79, 70, 35, 35, 66, 6, 88, 25, 25, 55, 73, 1, 31, 93, 97, 97, 43, 65,
    19, 57, 1, 92, 23, 73, 46, 48, 38, 29, 40, 6, 63, 81, 88, 87, 69, 5, 88, 56, 13, 36, 43, 42, 70, 54, 50, 63, 34, 84,
    56, 14, 91, 30, 20, 77, 2, 9, 95, 57, 63, 47, 60, 68, 64, 98, 99, 58, 20, 67, 34, 31, 85, 89, 78, 26, 89, 15, 55, 41,
    4, 40, 67, 61, 61, 96, 79, 27, 52, 59, 87, 58, 33, 34, 23, 76, 18, 10, 74, 68, 79, 54, 16, 95, 4, 13, 61, 77, 86, 64,
    58, 66, 54, 73, 59, 50, 81, 24, 64, 24, 64, 75, 50, 66, 60, 86, 92, 6, 86, 27, 5, 46, 52, 18, 85, 4, 32, 14, 77, 5,
    11, 58, 90, 44, 97, 70, 36, 32, 44, 76, 9, 95, 95, 19, 57, 68, 13, 44, 74, 63, 8, 23, 59, 54, 2, 89, 98, 76, 32, 93,
    21, 58, 53, 92, 46, 82, 42, 11, 63, 8, 93, 9, 92, 63, 96, 63, 17, 53, 14, 66, 4, 99, 79, 56, 51, 42, 24, 75, 67, 56,
    29, 39, 44, 57, 66, 4, 15, 47, 6, 13, 80, 37, 31, 1, 76, 72, 25, 93, 27, 92, 22, 14, 47, 36, 24, 100, 34, 43, 98, 63,
    54, 59, 49, 9, 9, 94, 3, 83, 34, 81, 30, 32, 22, 8, 96, 6, 85, 23, 24, 72, 70, 9, 92, 7, 52, 63, 90, 59, 28, 36,
    33, 84, 55, 81, 45, 1, 7, 83, 25, 20, 63, 61, 12, 51, 35, 1, 15, 6, 100, 73, 91, 7, 3, 30, 17, 43, 59, 58, 52, 68,
    55, 48, 61, 16, 98, 85, 23, 17, 87, 69, 96, 99, 74, 98, 42, 35, 59, 36, 10, 98, 89, 40, 76, 14, 10, 49, 3, 62, 41, 35,
    43, 88, 93, 16, 77, 97, 92, 81, 34, 10, 48, 18, 56, 86, 82, 10, 30, 29, 14, 100, 59, 100, 86, 28, 83, 9, 9, 44, 30, 89,
    60, 22, 17, 57, 30, 14, 73, 38, 2, 26, 98, 20, 59, 10, 18, 90, 52, 62, 54, 44, 16, 35, 8, 11, 42, 26, 86, 73, 3, 16,
    16, 35, 25, 53, 56, 22, 42, 21, 30, 4, 11, 46, 70, 23, 31, 96, 49, 94, 4, 28, 89, 86, 5, 1, 23, 85, 44, 7, 37, 5,
    54, 31, 14, 50, 44, 63, 44, 49, 82, 41, 90, 45, 35, 44, 1, 89, 43, 89, 98, 49, 25, 7, 8, 53, 47, 26, 36, 99, 100, 10,
    64, 7, 29, 12, 43, 53, 28, 100, 71, 19, 84, 8, 69, 42, 75, 73, 43, 75, 13, 95, 41, 85, 86, 38, 16, 75, 72, 13, 6, 49,
    5, 57, 77, 57, 97, 43, 86, 99];
function minWindow(arr, k) {
    var n = arr.length;
    var curr_sum = 0;
    var max_sum = 0;

    for (var i = 0; i < n-k+1; i++) {
        curr_sum = 0;

        for (var j = 0; j < k; j++) {
            curr_sum = curr_sum + arr[i+j];
        }

        max_sum = Math.max(curr_sum, max_sum);
    }

    return max_sum;
}

function minWindowOrderOfN(arr, k) {
    var n = arr.length;
    var curr_sum = 0;
    var max_sum = 0;

    // first max sum
    for (var i = 0; i < k; i++) {
        curr_sum += arr[i];
    }

    max_sum = curr_sum;

    // looping through all other windows
    for (var j = k; j < n-k+1; j++) {
        curr_sum += arr[j] - arr[j-k];
        max_sum = Math.max(max_sum, curr_sum);
    }

    return max_sum;
}

// order of n^2
var startTime = new Date().getTime();
console.log(minWindow(input, 2));
var endTime = new Date().getTime();
console.log(endTime-startTime);

// order of n
var startTime = new Date().getTime();
console.log(minWindowOrderOfN(input, 2));
var endTime = new Date().getTime();
console.log(endTime-startTime);