longest_consecutive_sequence.rs

use std::collections::HashSet;
use std::iter::FromIterator;

/// Given an unsorted array of integers `nums`, return the length of the longest consecutive
/// elements sequence.
///
/// You must write an algorithm that runs in `O(n)` time.
struct Solution;

impl Solution {

    pub fn longest_consecutive(nums: Vec<i32>) -> i32 {
        let mut result = 0;
        let set: HashSet<i32> = HashSet::from_iter(nums.into_iter());

        for num in set.iter() {
            let pred = *num - 1;
            if !set.contains(&pred) {
                let mut current = 1;
                let mut next = *num + 1;
                while set.contains(&next) {
                    next += 1;
                    current += 1;
                }
                result = result.max(current);
            }
        }

        result
    }

}

#[cfg(test)]
mod tests {
    use super::Solution;

    #[test]
    fn example_1() {
        let nums = vec![100,4,200,1,3,2];
        let result = Solution::longest_consecutive(nums);
        assert_eq!(result, 4);
    }

    #[test]
    fn example_2() {
        let nums = vec![0,3,7,2,5,8,4,6,0,1];
        let result = Solution::longest_consecutive(nums);
        assert_eq!(result, 9);
    }

    #[test]
    fn real_world() {
        let nums = vec![62670, 50689, 74016, 89663, 88676, 8656, 45810, 78903, 42372,
            7450, 84540, 10203, 11186, 26242, 60948, 6001, 88298, 35259, 47767, 74702,
            35450, 26739, 6812, 46776, 4465, 4675, 80985, 50761, 9572, 61561, 20897, 97997,
            43424, 30642, 96130, 10658, 84610, 23353, 56681, 81749, 7600, 583, 61054, 73098,
            66965, 6289, 74894, 45016, 96813, 76117, 68417, 38287, 13721, 16441, 30943,
            49406, 9086, 3137, 95059, 80549, 82789, 58583, 18462, 17612, 95763, 35597, 9785,
            17429, 12329, 55930, 34757, 38921, 46069, 78475, 14699, 22660, 35329, 80296,
            27841, 65278, 4009, 63931, 20550, 36593, 12633, 15756, 39716, 71561, 34398,
            66712, 89399, 68359, 48733, 86288, 68348, 56547, 44245, 36714, 17300, 51453,
            13046, 74536, 64640, 99869, 39634, 26027, 54955, 91319, 56093, 31613, 43743,
            95877, 10211, 29388, 35657, 92542, 34894, 30911, 16768, 2634, 7793, 80906,
            21041, 32861, 22284, 16161, 23619, 17492, 4383, 34103, 55668, 62086, 3355,
            71041, 1188, 10824, 98761, 78288, 45260, 18343, 49499, 73947, 90254, 6116,
            79622, 74452, 83698, 19951, 35025, 254, 4370, 23516, 53234, 9351, 71931, 79291,
            7585, 33119, 86414, 48453, 5, 73340, 13457, 61877, 97556, 79733, 51457, 97792,
            90955, 32759, 25492, 61398, 3111, 18086, 23019, 86695, 66839, 93669, 60730,
            67595, 54405, 73609, 54108, 97494, 31558, 59518, 45557, 43030, 54257, 90442,
            33355, 44183, 44176, 15054, 5399, 66026, 43371, 53637, 39667, 32092, 2984,
            67633, 94180, 4113, 41254, 51933, 59232, 83261, 94322, 24059, 73760, 21320,
            71472, 80269, 7028, 29228, 86578, 51182, 94035, 30125, 63707, 99937, 38500,
            93335, 36527, 20862, 39229, 18252, 79007, 46613, 51799, 64375, 38755, 46220,
            90152, 66013, 78164, 30824, 43236, 71432, 1083, 73725, 95168, 36074, 72693,
            86065, 86025, 71464, 71917, 46504, 60884, 49045, 29138, 75264, 77874, 6769,
            28500, 72119, 84515, 20568, 83270, 66578, 59599, 55088, 44141, 85114, 18565,
            86896, 19903, 27658, 94582, 85805, 39426, 59858, 17497, 43216, 12808, 88165,
            85410, 5993, 97924, 1727, 38142, 53245, 75289, 26797, 42140, 43811, 20678,
            81050, 20331, 19254, 2194, 93123, 78593, 29501, 10827, 39407, 88507, 68721,
            72171, 15770, 62154, 76002, 26042, 90905, 5413, 29142, 62394, 11158, 99331,
            59328, 17344, 72449, 31806, 97125, 51250, 75489, 31070, 5884, 64407, 80496,
            6754, 47644, 51694, 29998, 91693, 24224, 97902, 47926, 9119, 21865, 44927,
            78967, 15088, 34642, 89081, 98254, 79534, 85342, 82802, 91848, 41724, 2608,
            18789, 63111, 5201, 65401, 93157, 59694, 11583, 1715, 15548, 35793, 78371,
            37827, 78414, 68333, 22864, 29925, 89873, 95746, 69109, 72772, 63103, 18089,
            92492, 47606, 18656, 91216, 82552, 8635, 5403, 62888, 67097, 4299, 6299, 54934,
            79890, 14231, 96526, 24012, 31441, 47396, 98041, 20539, 6244, 39395, 20027,
            58902, 6596, 26448, 3239, 33261, 64545, 96244, 75101, 82962, 80896, 92202,
            65783, 57906, 80582, 38624, 22844, 59611, 37277, 51980, 36033, 94514, 34695, 85,
            53934, 89343, 18381, 48842, 13225, 52527, 35992, 44110, 17459, 63837, 80449,
            21324, 46080, 8159, 95079, 49207, 32772, 46039, 1913, 24407, 24413, 38198, 3775,
            28059, 32869, 81783, 66249, 15080, 96846, 10609, 65416, 85930, 21647, 45364,
            26254, 44457, 82638, 51444, 79716, 11394, 9577, 20999, 51807, 5967, 25583,
            83503, 13444, 71935, 57920, 58767, 42503, 45546, 48215, 90169, 72654, 37415,
            42752, 35486, 45392, 120, 96406, 23004, 51164, 51294, 45632, 12563, 88857,
            51682, 51525, 99122, 76043, 96747, 38816, 85840, 79748, 42944, 38828, 62659,
            90237, 86421, 84965, 62077, 19902, 6645, 36314, 2453, 48345, 43497, 23455,
            54543, 83947, 47733, 74414, 62014, 19449, 51497, 58480, 30127, 94246, 99610,
            83914, 8244, 47882, 6685, 46280, 87235, 47098, 40876, 40481, 62879, 54506,
            79837, 90590, 94320, 33114, 92461, 35076, 90839, 5327, 87042, 66611, 29302,
            22171, 31373, 76137, 5816, 78444, 16910, 84598, 92630, 19719, 87631, 57106,
            60832, 47253, 46344, 83279, 21275, 66336, 98700, 85598, 21402, 79355, 42389,
            35817, 18851, 35953, 46547, 85660, 75414, 16548, 92276, 49380, 32855, 73212,
            86193, 41621, 38965, 40618, 46974, 28581, 54699, 14063, 92174, 19936, 94819,
            15076, 49169, 7998, 93771, 37858, 19507, 94031, 15241, 90761, 87605, 87080,
            46573, 68830, 2202, 42573, 22898, 86304, 57923, 11520, 20191, 99882, 73210,
            89219, 33541, 34921, 90345, 77015, 21071, 41917, 82317, 45123, 23475, 62457,
            59152, 65963, 26418, 75127, 23129, 4288, 63485, 20688, 43768, 26622, 57581,
            53950, 80253, 83193, 90156, 83840, 46448, 71590, 92144, 65043, 78265, 67088,
            65115, 7232, 82607, 27500, 16024, 78733, 50137, 1506, 24163, 92322, 89182,
            94792, 74849, 58113, 29680, 11476, 53922, 84859, 72832, 10227, 28140, 67440,
            21195, 85487, 73852, 15671, 12223, 16243, 63786, 99157, 10764, 97062, 4967,
            72769, 87966, 51246, 75321, 92902, 87051, 15204, 34631, 50192, 39454, 41355,
            52266, 64668, 17145, 22430, 76710, 97657, 77394, 22047, 13598, 73647, 48053,
            41691, 79491, 77679, 49695, 51913, 39980, 73971, 95963, 78134, 15737, 88911,
            76351, 70921, 65010, 39150, 33181, 44538, 16053, 52991, 75086, 70991, 10699,
            76153, 62389, 20506, 36323, 59001, 69301, 79789, 50461, 77821, 24763, 22503,
            16051, 62435, 82112, 39594, 99821, 44007, 99082, 56542, 2503, 61182, 91000,
            4196, 75893, 98933, 4952, 14294, 12360, 51907, 1766, 47116, 58541, 92573, 31685,
            41313, 18197, 9275, 67147, 35780, 30880, 61361, 38550, 2160, 9233, 41534, 46983,
            25588, 68837, 39465, 45640, 46036, 98661, 20194, 8223, 10229, 45858, 43235,
            95143, 91858, 51078, 93841, 89418, 30134, 69164, 29271, 48045, 72455, 30784,
            44290, 48608, 52901, 7445, 90378, 96067, 978, 97906, 11766, 30219, 20241, 58512,
            57470, 10498, 25397, 93645, 40964, 21057, 32436, 35682, 86187, 43704, 73905,
            76407, 35800, 24650, 93701, 13970, 18312, 71228, 61638, 75588, 43567, 62716,
            21011, 345, 80047, 17578, 9642, 39241, 57157, 93209, 97333, 16720, 56979, 88047,
            34401, 17776, 63227, 15153, 12501, 67156, 44127, 30548, 10146, 81325, 9016,
            4427, 29847, 27298, 94056, 28884, 22293, 45880, 66540, 77565, 191, 1373, 26955,
            48962, 70091, 64059, 22794, 89457, 98355, 17951, 45295, 30691, 46797, 84320,
            47167, 34403, 74238, 10384, 7178, 555, 32735, 63239, 8339, 26552, 37020, 98098,
            80004, 48637, 93561, 18777, 27812, 22684, 87194, 35206, 37797, 11059, 23081,
            89086, 9773, 61586, 54454, 56552, 99161, 96255, 75432, 53417, 19727, 2736,
            83719, 26079, 23991, 93596, 32717, 43238, 96634, 61073, 47526, 31662, 15560,
            37209, 53404, 61840, 11197, 51742, 33077, 11396, 22114, 65944, 96854, 367,
            20874, 34416, 68751, 38159, 47699, 20772, 68235, 2374, 64747, 62037, 90941,
            61405, 81954, 92689, 48105, 73398, 4808, 75103, 53406, 61600, 66033, 38072,
            46567, 98650, 67763, 83295, 73283, 55157, 27310, 64256, 39190, 45811, 42748,
            98623, 49803, 46184, 29669, 12676, 22454, 30971, 50629, 41932, 3072, 65180,
            13937, 57829, 77239, 32877, 56215, 64455, 73492, 92587, 49872, 52309, 86389,
            20580, 65735, 52945, 47191, 57833, 7918, 96501, 67200, 6716, 10851, 89173,
            30176, 4652, 96823, 816, 64854, 1828, 68825, 84910, 17253, 46127, 92268, 99696,
            46811, 65559, 47179, 8721, 51485, 17037, 79422, 54149, 5485, 58304, 10237,
            28847, 63024, 70176, 19751, 28961, 60035, 83581, 23069, 86031, 8047, 2093, 3258,
            71554, 53651, 29613, 31948, 16113, 2186, 41393, 80912, 89060, 55257, 25347,
            36137, 30882, 30223, 59168, 21967, 17418, 84575, 84083, 64103, 89000, 74544,
            30773, 78884, 12368, 20589, 14983, 32378, 79777, 80463, 18528, 25547, 37960,
            96241, 74361, 48498, 41455, 62664, 48460, 52373, 35725, 34486, 77781, 82429,
            89402, 9258, 19891, 91608, 67826, 34145, 58629, 72232, 33673, 70303, 31794,
            66700, 97790, 94296, 67074, 48761, 12949, 84860, 76653, 78523, 67467, 20059,
            78588, 67786, 71715, 24557, 47636, 21976, 10391, 49052, 82035, 47665, 51222,
            48126, 41479, 67692, 24754, 95648, 30379, 90808, 82138, 15132, 3660, 54337,
            86701, 5183, 59806, 134, 65722, 95495, 15555, 9205, 81784, 87169, 60820, 6567,
            94491, 66149, 43320, 13613, 82898, 76693, 60979, 3176, 13309, 48132, 91208,
            56738, 33097, 80193, 87492, 67715, 37469, 74675, 17635, 94955, 84453, 85818,
            28930, 14866, 3093, 39869, 46099, 276, 90564, 18756, 11779, 92849, 45844, 60064,
            67481, 82682, 64015, 88278, 55052, 62910, 93678, 57290, 46181, 82724, 35369,
            27046, 45902, 31645, 66073, 80501, 98348, 3412, 18634, 67295, 34984, 82737,
            20978, 61002, 92569, 59687, 57401, 9374, 59660, 68879, 72642, 94718, 5068,
            14799, 69255, 90465, 77027, 8078, 85950, 36430, 13288, 33222, 11263, 80578,
            21823, 77407, 95004, 67810, 54527, 78954, 93361, 21208, 13885, 35565, 80897,
            66898, 64831, 88123, 82767, 5256, 73038, 21450, 97716, 34458, 2377, 99047,
            27823, 37352, 7798, 30355, 5753, 24731, 64677, 41783, 31614, 6168, 52620, 64765,
            52007, 96388, 92443, 29979, 86419, 24229, 95871, 71327, 61273, 58978, 65138,
            89982, 20775, 72729, 53140, 68578, 90089, 2540, 97116, 54483, 96996, 64348,
            12658, 75960, 33534, 55950, 87614, 573, 56028, 10048, 61615, 23716, 23590,
            70465, 15748, 13082, 62680, 80558, 78573, 11737, 70414, 76855, 56726, 96860,
            49587, 40849, 43443, 46478, 5553, 14217, 19398, 48630, 90989, 71054, 88169,
            6047, 14307, 84325, 37287, 13768, 7016, 88389, 88184, 29335, 92396, 42917,
            36559, 63286, 2754, 98642, 6156, 894, 73664, 1459, 25805, 38152, 81252, 7627,
            59339, 47356, 84073, 25426, 55619, 99503, 5260, 9060, 57669, 49178, 29170,
            79561, 67050, 27374, 85792, 9189, 25007, 42820, 24272, 47016, 69408, 36932,
            27989, 39684, 63458, 17245, 20759, 6472, 16686, 59272, 79172, 98727, 13675,
            95628, 81057, 5024, 68567, 22956, 45610, 5044, 66408, 52319, 92992, 19144,
            72311, 78328, 10021, 88971, 43955, 66983, 30553, 20291, 52882, 72728, 70366,
            50693, 43797, 18336, 36170, 78991, 54128, 78089, 60535, 36836, 33351, 99788,
            34163, 44821, 60560, 36394, 94901, 51809, 55459, 33525, 14131, 16046, 53206,
            10415, 22968, 59514, 47873, 17317, 92845, 66105, 55902, 69629, 89214, 66355,
            69133, 81333, 98599, 23555, 58573, 91300, 83996, 52357, 97808, 25064, 66188,
            46614, 94201, 10051, 26729, 39073, 6202, 29272, 22592, 2284, 48191, 14513,
            96787, 69537, 38191, 26463, 29202, 73929, 95797, 45051, 280, 31335, 71308,
            20346, 32069, 55012, 82071, 20376, 10509, 27205, 6668, 29398, 24130, 92486,
            95658, 56053, 95364, 52783, 55347, 12411, 46539, 76564, 16680, 43348, 39007,
            21199, 34454, 50836, 75733, 18892, 2390, 58100, 35127, 72334, 48057, 54921,
            71542, 94440, 51233, 43099, 23768, 19263, 40370, 4101, 80854, 5726, 3984, 51715,
            18896, 53756, 63657, 12608, 58236, 2538, 96076, 17376, 78702, 12217, 4770,
            63444, 96863, 304, 55877, 56536, 79506, 3962, 49720, 6917, 10326, 26029, 80509,
            25023, 65191, 87160, 31380, 57936, 80637, 53526, 55361, 75753, 96269, 78015,
            4564, 65, 19181, 52032, 4198, 48694, 10491, 82423, 21527, 89571, 53942, 82664,
            73877, 18012, 17703, 11321, 14340, 12140, 11359, 99031, 25880, 8251, 32608,
            41315, 93642, 18356, 68374, 8543, 2348, 42440, 99294, 28010, 97690, 36622,
            58396, 6676, 11556, 58235, 97565, 15069, 34623, 84804, 56689, 27532, 70202,
            18600, 98171, 10158, 21736, 36022, 70802, 10599, 19192, 25723, 46131, 30886,
            80802, 67328, 88152, 82177, 44764, 12817, 57843, 58258, 47704, 2523, 19316,
            44008, 91853, 7029, 28667, 90297, 50611, 92427, 87613, 32983, 38338, 9350,
            76429, 57184, 21927, 2722, 4425, 19265, 51500, 11681, 67369, 64022, 79551,
            79111, 3741, 12907, 34200, 99835, 18261, 53281, 26549, 58885, 27509, 66975,
            86570, 21053, 37691, 11209, 59417, 25618, 31530, 97021, 54957, 34520, 9127,
            9128, 9465, 98630, 69759, 46155, 196, 6595, 59935, 42502, 38304, 61265, 12374,
            73512, 3891, 15612, 54834, 32326, 89231, 79589, 62488, 48770, 9530, 7758, 41107,
            82645, 17109, 49746, 34689, 23196, 77708, 55899, 46104, 26997, 33205, 13069,
            49210, 37373, 41883, 30904, 96904, 64717, 87913, 72161, 57245, 15465, 56097,
            85181, 37556, 49999, 86597, 26382, 65350, 3456, 8127, 87059, 520, 23483, 89380,
            78135, 88853, 49173, 47491, 32782, 7771, 37967, 70516, 75124, 86894, 23869,
            14961, 52380, 59939, 23205, 39669, 20738, 57835, 6603, 45048, 85971, 12366,
            22707, 78041, 36264, 2841, 97585, 32158, 58936, 44659, 86197, 3009, 49531, 1434,
            72852, 25458, 70669, 33194, 87013, 44827, 534, 49694, 78123, 87220, 38643,
            71902, 54824, 36909, 72457, 29961, 28750, 9907, 2504, 55531, 58772, 10033,
            61661, 12175, 34481, 34105, 78385, 61910, 83929, 83422, 34142, 63842, 30680,
            75568, 50504, 65745, 19525, 58881, 92298, 98276, 17106, 47119, 62576, 98463,
            69977, 53023, 60553, 90722, 35496, 30866, 59240, 86485, 63005, 96976, 44442,
            10577, 27799, 22286, 42099, 49080, 94510, 30592, 31095, 59190, 46056, 67495,
            7721, 42705, 61145, 47948, 26836, 70662, 54457, 70076, 51564, 70214, 86283,
            82192, 81952, 4279, 17339, 78464, 46510, 39249, 57353, 51031, 41513, 8184,
            62742, 82976, 6686, 65217, 61767, 55172, 64558, 99385, 8557, 29235, 16403,
            57355, 94644, 64303, 11656, 96452, 25270, 91575, 92365, 91706, 15185, 54800,
            52321, 64617, 3454, 51773, 21879, 25169, 86997, 98393, 10179, 19364, 96390,
            2522, 38080, 27247, 10660, 29790, 92755, 82373, 95712, 64431, 68503, 22329,
            24167, 80129, 21768, 72264, 83136, 90200, 90701, 10860, 64054, 50627, 29397,
            54291, 62562, 90853, 93293, 26411, 49579, 26451, 66648, 69176, 8357, 98960,
            65036, 84900, 24394, 12486, 32100, 99281, 37144, 42403, 99899, 67210, 143, 6701,
            46463, 43306, 9829, 21486, 68832, 79080, 48857, 19872, 53145, 28280, 73066, 859,
            29193, 93285, 69567, 79420, 8677, 55204, 23679, 98890, 78455, 52724, 28167,
            39319, 2287, 68647, 67975, 69259, 76359, 50767, 28623, 3836, 17383, 60753,
            42816, 28818, 52660, 64812, 74240, 38679, 79628, 92937, 68963, 36129, 26582,
            74425, 56694, 24333, 26258, 6461, 77960, 30919, 80104, 48905, 16603, 53366,
            16112, 37881, 88754, 92418, 94658, 28662, 54607, 27206, 86144, 98689, 62586,
            30711, 12192, 42718, 35731, 77485, 38094, 44839, 34789, 36589, 77263, 9302,
            49918, 20321, 38300, 36071, 18315, 29903, 14265, 8845, 52828, 79025, 8699,
            37910, 39996, 3941, 68758, 2151, 15527, 22041, 32404, 86118, 64259, 60749,
            59957, 51749, 62306, 47628, 82195, 56545, 97787, 3681, 20217, 935, 7968, 87592,
            65777, 29169, 90833, 80110, 42121, 565, 64443, 54100, 96954, 38786, 29763,
            96301, 52979, 6027, 76316, 39555, 55320, 17928, 6670, 60236, 92057, 24091,
            68042, 98759, 82232, 38290, 1044, 47750, 11878, 69809, 21127, 96047, 5556, 6120,
            72945, 77987, 37576, 41588, 43123, 23656, 25949, 64209, 39352, 11687, 31711,
            43013, 8982, 27221, 7170, 36942, 56998, 87526, 17319, 96915, 95482, 55372,
            48518, 64320, 71644, 34525, 61431, 42971, 57989, 51645, 43291, 45940, 92075,
            68869, 64581, 82193, 75108, 37932, 7201, 8013, 7346, 4767, 91757, 61358, 29477,
            25335, 85052, 36789, 26693, 27339, 53529, 16277, 42539, 27591, 78962, 24652,
            33721, 67539, 56754, 92208, 23771, 29681, 22431, 97981, 63928, 29289, 74870,
            20594, 80780, 48570, 77806, 76510, 33601, 88250, 5506, 35756, 85917, 26810,
            7026, 82325, 21109, 85813, 69516, 99180, 45776, 61151, 22392, 40731, 14544,
            25067, 22185, 70994, 19048, 64154, 78896, 96614, 89815, 17408, 72349, 54119,
            73919, 1356, 89114, 28833, 80358, 48941, 61219, 79798, 85248, 6013, 54806,
            63084, 11679, 35650, 86743, 25605, 9459, 31880, 31850, 93125, 7317, 42526,
            45879, 34509, 6546, 78759, 85298, 45386, 83802, 81593, 43875, 49638, 84006,
            46115, 80144, 9986, 30247, 26696, 48272, 56, 36946, 26098, 17202, 58971, 25548,
            57313, 96899, 22147, 10967, 49677, 21410, 75467, 73307, 73299, 5896, 36741,
            73657, 70122, 54909, 56895, 8596, 13249, 73349, 48675, 4846, 26232, 56033,
            98539, 88960, 67158, 41589, 55958, 81780, 1675, 48891, 64611, 21804, 49261,
            87014, 30019, 65836, 68316, 7993, 31489, 40724, 87143, 31409, 88337, 93503,
            98794, 70543, 54236, 54587, 24759, 3976, 57796, 94408, 47752, 31006, 6340, 1754,
            72295, 7122, 43988, 28224, 46921, 81051, 76339, 94160, 61717, 585, 47559, 90658,
            68075, 7365, 61972, 30022, 64378, 16685, 50322, 37481, 11229, 30252, 31029,
            7398, 36799, 85269, 45818, 18870, 60137, 77792, 66764, 85449, 21262, 77963,
            20831, 90025, 93811, 6339, 15948, 13620, 96633, 92972, 12151, 95384, 95193,
            5732, 76303, 49344, 90667, 60271, 72921, 13710, 92578, 29926, 41881, 71887,
            99513, 39697, 69511, 17968, 69321, 47306, 62448, 77257, 32871, 41087, 63462,
            55154, 6223, 78149, 62787, 68882, 22006, 8320, 23919, 59409, 42179, 48956,
            75159, 52093, 2726, 89120, 66777, 83901, 86149, 66559, 37050, 45280, 97194,
            48204, 91877, 73773, 74476, 38521, 6822, 58091, 36687, 99800, 7411, 51260,
            34996, 47857, 15460, 10778, 32743, 66488, 79493, 36014, 67300, 65378, 82152,
            93164, 74211, 69453, 37479, 94707, 91588, 76276, 4600, 64843, 56478, 65160,
            95500, 97927, 7730, 57478, 2208, 36340, 40455, 20093, 61832, 83590, 50926,
            66256, 95592, 88913, 21523, 87519, 28703, 55905, 38928, 87742, 99387, 12394,
            33770, 30380, 84122, 82376, 70461, 4844, 97706, 19907, 49783, 91999, 76031,
            81813, 25202, 35050, 89803, 35036, 6024, 13286, 90282, 13524, 992, 14230, 41579,
            88498, 34522, 36387, 49023, 85939, 90093, 97755, 11976, 25354, 68566, 59757,
            15601, 88353, 71481, 24890, 99231, 60336, 19258, 20382, 8392, 78367, 72744,
            25676, 43732, 62601, 18008, 80860, 22703, 84036, 40093, 10866, 37742, 44994,
            65488, 58528, 13779, 37586, 42802, 70645, 23659, 22663, 24451, 99027, 10708,
            16114, 61279, 59499, 76836, 20915, 47690, 7594, 86851, 76113, 47616, 6101,
            79927, 33561, 22117, 96540, 43578, 16826, 47052, 74378, 30433, 60788, 15331,
            3075, 16830, 32277, 4464, 71696, 47194, 71071, 95918, 3724, 49693, 53698, 89526,
            63981, 97905, 74567, 83226, 982, 14304, 39070, 59045, 8278, 39925, 23654, 69108,
            20769, 93329, 42691, 33435, 89193, 77799, 90275, 10017, 88628, 39180, 79221,
            38555, 27535, 51353, 2502, 13118, 1156, 24612, 78870, 77711, 90142, 4822, 73056,
            80169, 84498, 23416, 89077, 87589, 66875, 54550, 19896, 33084, 38268, 43693, 63,
            4848, 34742, 26928, 87557, 22855, 19267, 37887, 47244, 88942, 65796, 42614,
            15896, 43740, 46672, 43803, 39789, 31623, 11985, 45931, 98164, 63599, 13547,
            51434, 56114, 73742, 93182, 40484, 64943, 70186, 73784, 93453, 88561, 24547,
            8255, 18096, 59676, 38860, 41972, 7823, 89945, 78823, 29201, 53218, 50350,
            32951, 50511, 12204, 81700, 76413, 37851, 78362, 71404, 57664, 29425, 67681,
            4403, 77186, 96079, 97181, 78971, 15449, 97337, 74916, 38374, 18975, 25924,
            25816, 57451, 73365, 86733, 22401, 34651, 54685, 31797, 67027, 64597, 77714,
            36140, 97707, 88057, 98358, 61004, 18794, 45442, 26126, 71768, 71167, 50655,
            53116, 90157, 57222, 66362, 60142, 40503, 53516, 67549, 54153, 73314, 60311,
            17521, 96458, 11568, 18533, 28729, 52860, 73714, 42830, 48960, 5257, 58177,
            6427, 52786, 8637, 6360, 58882, 2191, 34488, 56777, 72003, 85333, 31432, 97305,
            97118, 8880, 81510, 39778, 13593, 18843, 59955, 40285, 41344, 17809, 67508,
            75442, 99127, 20631, 647, 69616, 41448, 95342, 42347, 36073, 93345, 99797,
            20924, 1256, 81647, 60292, 91345, 51841, 82809, 66825, 64896, 17338, 97449,
            73775, 42042, 57146, 8650, 19287, 95164, 84985, 35434, 36571, 88273, 56352,
            15857, 40826, 76004, 25584, 28538, 75827, 43532, 41378, 37029, 45358, 97504,
            93478, 70458, 8968, 54127, 45718, 547, 96100, 66209, 51554, 98294, 35049, 81613,
            39303, 93547, 15738, 12649, 34436, 68730, 76315, 90517, 89732, 84989, 41991,
            66794, 54995, 45641, 88999, 62202, 62935, 15907, 25935, 28717, 59433, 27184,
            498, 14385, 18740, 14565, 76282, 68808, 81738, 21743, 32616, 60056, 85801,
            77428, 2029, 64472, 31661, 47013, 68704, 92157, 1606, 39923, 9334, 93643, 21606,
            5284, 64197, 30320, 83293, 25839, 86721, 34262, 91166, 4214, 37892, 63890, 5057,
            71579, 79813, 14932, 78912, 59541, 47338, 9617, 30749, 2799, 44901, 45812,
            94741, 57081, 90181, 74901, 91671, 42773, 56201, 51666, 95034, 825, 53578,
            16110, 84952, 9814, 34518, 58747, 33054, 53880, 27779, 37168, 1319, 7124, 59832,
            28823, 21634, 46722, 15346, 14213, 71830, 53246, 955, 65815, 56462, 14425,
            46454, 90959, 79490, 24838, 35856, 52569, 84929, 8338, 18141, 58307, 96999,
            22711, 19569, 1998, 60687, 51592, 21626, 55256, 61087, 33139, 63743, 85731,
            42210, 89717, 50237, 73918, 13133, 67700, 72992, 10972, 91988, 44833, 6033,
            88646, 38208, 29685, 77191, 54756, 49233, 4637, 84032, 30065, 90834, 77740,
            94814, 16263, 78877, 1897, 29510, 3658, 80079, 98656, 45089, 61158, 75830,
            25376, 56046, 19203, 12869, 51608, 60189, 87148, 55684, 28293, 71140, 46779,
            71908, 57260, 72656, 2005, 86852, 18872, 74086, 9784, 84048, 97431, 75145,
            52627, 96961, 61123, 33878, 47012, 28288, 11362, 44980, 61632, 65954, 86533,
            21513, 67271, 96704, 65309, 4391, 98974, 36473, 84834, 52864, 38466, 38949,
            58660, 88051, 80154, 14441, 66095, 98934, 68696, 62078, 38691, 325, 15591, 3087,
            71713, 53482, 29436, 49825, 51534, 5998, 12956, 27628, 72261, 33063, 26266,
            80208, 52523, 53423, 91436, 69053, 61356, 70450, 54166, 88595, 78017, 23713,
            67911, 91491, 82428, 60006, 10633, 96338, 20954, 36375, 25463, 59391, 48715,
            81592, 33662, 99642, 91873, 71195, 54584, 56207, 38956, 87932, 40298, 14664,
            63636, 30616, 37057, 61142, 32721, 31937, 49390, 40677, 51591, 29564, 38078,
            81357, 87241, 48847, 17372, 82787, 46556, 78692, 6585, 98769, 88642, 61250,
            25980, 96543, 79513, 75603, 35532, 63853, 38468, 22169, 87903, 91885, 45135,
            54205, 77005, 55743, 46552, 12720, 10717, 89115, 10920, 33398, 59796, 89324,
            97261, 40610, 33419, 33377, 43653, 52986, 81799, 56701, 61457, 52577, 82732,
            13356, 48, 7007, 57677, 19381, 88571, 71283, 62857, 91445, 32241, 5200, 42886,
            78327, 28392, 47247, 38948, 2602, 619, 20960, 79402, 72088, 62203, 93245, 17575,
            6112, 17653, 18430, 24595, 15477, 99994, 98389, 95621, 60802, 3692, 8142, 63731,
            85822, 63962, 1292, 96225, 56476, 50893, 10066, 53093, 86924, 42868, 99159,
            97304, 80664, 36598, 45142, 1360, 99804, 54632, 30115, 11499, 52951, 38240,
            38483, 82808, 93950, 69826, 2615, 78469, 10207, 78540, 26008, 35204, 72799,
            90669, 87389, 90969, 23835, 31395, 88021, 18041, 79233, 70986, 61338, 53551,
            22021, 90117, 61368, 39732, 27951, 26402, 93249, 80106, 24531, 28907, 76756,
            17834, 69170, 87227, 15254, 74174, 45248, 444, 48622, 6711, 401, 60787, 32490,
            61835, 45265, 19993, 24733, 35133, 77949, 45560, 10014, 57111, 61587, 77801,
            44966, 33195, 76589, 9270, 22878, 26427, 18928, 96510, 5274, 34461, 18326,
            55285, 67683, 28194, 46798, 48285, 89416, 84346, 12818, 42894, 28235, 28700,
            85457, 95498, 22839, 23001, 70248, 14740, 61024, 78620, 81324, 79511, 59709,
            20049, 2694, 49144, 10280, 89179, 70829, 96534, 70983, 8266, 27731, 13762,
            34664, 31136, 62600, 96978, 57501, 64770, 69925, 70349, 68630, 5959, 31099,
            6422, 6290, 58189, 92420, 25973, 78158, 15362, 96451, 20921, 32875, 34339, 1809,
            13738, 57479, 74572, 28568, 44271, 21854, 61581, 61189, 53074, 7011, 68192,
            50342, 31245, 12241, 15579, 69757, 90455, 19, 87947, 14041, 41716, 75552, 74820,
            37733, 64361, 46970, 76178, 75953, 81264, 56523, 58822, 683, 19087, 26670,
            88328, 4898, 3473, 90533, 26913, 60151, 57302, 8421, 93636, 20749, 43266, 63779,
            91673, 40039, 43571, 25452, 63746, 36389, 77337, 95883, 26990, 40557, 90211,
            53358, 38269, 78898, 11748, 65058, 90913, 21872, 79270, 25654, 94477, 81521,
            74739, 3551, 12847, 108, 81499, 92804, 42113, 47327, 33983, 53018, 18917, 39575,
            26873, 92011, 662, 34395, 90388, 15732, 58529, 85382, 50647, 89890, 66747,
            80485, 142, 84821, 67363, 59096, 48309, 20532, 3636, 77741, 83343, 28350, 95541,
            70332, 98596, 45540, 53481, 93677, 80394, 34532, 2814, 72122, 49756, 6759,
            11046, 16510, 30231, 60259, 92874, 37552, 41552, 26108, 8306, 99578, 93819,
            77322, 52855, 58546, 18375, 86760, 29421, 57496, 17651, 40280, 17378, 28058,
            59299, 21062, 92579, 93963, 71098, 5471, 38630, 74440, 32488, 26262, 83430,
            83312, 72339, 39835, 65537, 62038, 73040, 71011, 57476, 72303, 90289, 16539,
            68497, 83336, 89593, 1536, 21714, 72346, 74047, 19596, 85972, 86112, 29987,
            4373, 76732, 63611, 74749, 87422, 79331, 16346, 97771, 67079, 65878, 22121,
            91193, 14418, 130, 42130, 24823, 25266, 48080, 49082, 80707, 42784, 1028, 65294,
            41760, 62304, 65579, 82850, 53351, 10040, 53357, 4617, 49120, 25502, 57329,
            76128, 87712, 42867, 38023, 93922, 47916, 67392, 81765, 35270, 69213, 59107,
            84300, 26314, 2592, 89095, 36807, 61149, 46141, 39700, 90725, 15943, 66693,
            67397, 62003, 88583, 61764, 8936, 73456, 46641, 56541, 32395, 97217, 43565,
            88108, 91178, 30236, 3703, 61977, 1120, 19721, 42642, 14106, 49042, 9046, 60991,
            32292, 36444, 44171, 97948, 55315, 44913, 66438, 84354, 35224, 21921, 51186,
            35371, 51776, 1701, 33915, 19570, 50948, 89877, 17382, 63878, 83406, 81076,
            62668, 50982, 17910, 14337, 74426, 45057, 16921, 82286, 2015, 88055, 59264,
            38030, 26212, 87284, 3736, 18959, 25409, 7639, 91554, 69831, 97816, 66453,
            79651, 32346, 79803, 95075, 68760, 99528, 59560, 16203, 97983, 73633, 11713,
            4568, 67616, 37551, 36504, 65150, 16118, 55065, 34958, 74897, 32482, 17688,
            8309, 57267, 17605, 21018, 3791, 61075, 6805, 57600, 8567, 11606, 34135, 84609,
            79088, 4478, 38157, 67489, 43755, 12000, 75417, 49553, 90664, 10906, 31902,
            30111, 10215, 31483, 7857, 79568, 34132, 22992, 81931, 31312, 38519, 24530,
            55247, 78869, 4500, 3824, 74964, 75230, 86729, 82049, 72533, 49744, 2170, 59105,
            90466, 80618, 67451, 75307, 84063, 9488, 28056, 73189, 30265, 58733, 73208,
            58975, 64212, 95382, 10512, 50287, 37128, 2767, 39814, 7421, 50911, 10233,
            51523, 91024, 30812, 94982, 74936, 92629, 87751, 88, 5653, 96174, 32521, 41387,
            88991, 68911, 26514, 72381, 86937, 63020, 33791, 62837, 93847, 78650, 4867,
            68146, 16181, 89539, 76090, 98383, 38486, 50958, 84289, 15640, 5346, 79415, 725,
            63422, 34321, 35912, 3229, 17625, 66539, 43242, 38569, 55208, 92654, 78198,
            23297, 97121, 77331, 90976, 30776, 730, 2914, 89249, 33899, 9930, 49329, 55751,
            47780, 33986, 72616, 91038, 72258, 71811, 9191, 31683, 15923, 55360, 66502,
            96612, 57266, 14940, 94632, 2567, 13538, 88711, 1803, 29472, 79489, 2108, 47242,
            97288, 8601, 2825, 52792, 67041, 31796, 26775, 61224, 97321, 48617, 71985,
            83101, 60491, 2144, 16926, 43229, 25210, 2785, 6817, 24986, 90578, 30802, 30261,
            80008, 12798, 65398, 95248, 87210, 40689, 67655, 7533, 81842, 85558, 72424,
            56248, 82621, 5586, 45221, 67724, 74603, 67208, 41551, 85736, 44804, 57455,
            21441, 47577, 64178, 16708, 24532, 14810, 49174, 58925, 61938, 61703, 94893,
            58873, 69240, 35103, 51844, 42346, 17693, 31522, 36498, 94234, 10003, 67569,
            29678, 73282, 62175, 69770, 45090, 44580, 96118, 3001, 8957, 95565, 41805,
            48270, 20348, 52915, 97709, 54559, 88988, 46252, 88466, 14953, 10099, 45023,
            81227, 70720, 42988, 19758, 7838, 33201, 89772, 11012, 83831, 20436, 52532,
            68861, 3109, 22239, 17547, 24955, 35952, 1367, 55789, 47696, 48851, 82330,
            79685, 40970, 93412, 26356, 21848, 48918, 14155, 70824, 72555, 85966, 39742,
            48112, 73044, 69227, 54178, 99164, 24777, 25193, 28503, 44403, 80775, 3635,
            66939, 54034, 80825, 71993, 82960, 63059, 45842, 11322, 55388, 75134, 55097,
            95497, 48667, 39811, 46363, 35156, 19423, 54243, 38117, 7137, 90435, 52259,
            20578, 81215, 759, 69075, 50089, 53527, 61455, 88944, 39621, 8097, 91923, 13756,
            22247, 5588, 50490, 90676, 65092, 66118, 58538, 46927, 20380, 51151, 41325,
            68458, 66273, 9402, 38204, 1773, 95719, 53386, 84371, 36667, 98806, 33842,
            38118, 41174, 24582, 79478, 35233, 36, 12280, 2872, 57007, 5676, 27740, 27118,
            1609, 42530, 28025, 7833, 92577, 14461, 2806, 12692, 47686, 63036, 9353, 95171,
            37115, 46615, 67366, 55830, 57249, 14830, 3868, 96928, 33176, 15573, 92729,
            78815, 5401, 29571, 55214, 76473, 7832, 13332, 49646, 72517, 99850, 46628,
            87190, 93423, 74338, 21494, 5121, 68165, 29578, 92652, 61794, 56231, 73013,
            49767, 25201, 51588, 43992, 93220, 56821, 59222, 96764, 31204, 97624, 33903,
            87410, 54004, 46856, 69447, 69491, 9921, 69918, 48082, 70434, 42586, 58928,
            24727, 29283, 57457, 16935, 62665, 45636, 15149, 49742, 56143, 3112, 10568,
            10756, 77163, 10503, 53401, 91467, 69183, 54668, 73697, 70467, 26867, 8922,
            48496, 27208, 48838, 11867, 91182, 24931, 18792, 91424, 61734, 39533, 47617,
            58262, 15055, 44521, 45859, 29110, 81032, 44301, 73939, 51992, 21420, 15262,
            16144, 3337, 31307, 67878, 12682, 83384, 68871, 68885, 65701, 54658, 94208,
            9043, 69313, 26762, 50219, 53859, 59376, 55845, 66565, 6783, 53405, 96287,
            78290, 47005, 95906, 77063, 75147, 95242, 27946, 25848, 82321, 79353, 56227,
            51620, 43231, 39191, 17251, 74383, 28512, 1426, 38383, 78863, 48455, 78736,
            52190, 67556, 38096, 73408, 26422, 64916, 12373, 45703, 19202, 38883, 56801,
            84400, 3686, 29083, 96460, 38480, 21731, 61355, 79374, 66929, 72507, 68625,
            18803, 10523, 26296, 19209, 68984, 36461, 84340, 35845, 20899, 30312, 14286,
            67742, 7861, 6141, 46938, 86356, 99033, 63355, 88469, 11108, 10932, 69180,
            62062, 98186, 71175, 22975, 41074, 33331, 15584, 46908, 61640, 43177, 35298,
            40592, 39600, 9287, 18524, 88748, 90771, 93116, 5062, 96351, 49618, 73480,
            60822, 65212, 27093, 18441, 9476, 1621, 35082, 69154, 89144, 77798, 16601,
            45360, 39972, 81060, 44828, 63768, 38007, 83591, 13704, 77433, 87065, 48435,
            97097, 50300, 27966, 41358, 15135, 96815, 89911, 69861, 27825, 15687, 72114,
            10672, 56001, 43032, 892, 12744, 88280, 84956, 20359, 69981, 70358, 46228,
            20941, 5601, 40664, 68488, 34333, 20511, 37248, 60396, 69927, 79131, 31084,
            59451, 53280, 82566, 22066, 16813, 64589, 75729, 51385, 55116, 87971, 99771,
            21140, 23793, 46712, 16684, 63899, 69763, 60345, 41934, 61781, 6239, 31939,
            55910, 61154, 30964, 23884, 40327, 35294, 91350, 92929, 42105, 57124, 44550,
            62483, 97187, 1337, 23848, 73261, 81492, 55854, 67298, 51461, 42575, 87517,
            30333, 6514, 26215, 87844, 89679, 75099, 21826, 67251, 78862, 64468, 60265,
            5143, 75105, 59550, 67056, 27522, 63446, 1735, 3536, 4983, 61778, 76262, 37017,
            57641, 82157, 36580, 35284, 7640, 54777, 81270, 43616, 92678, 87068, 11212,
            25599, 41993, 39088, 33946, 54478, 2724, 2740, 4268, 67597, 29773, 33068, 1420,
            85311, 20229, 8646, 30185, 23682, 97127, 30962, 22680, 2410, 73743, 23721,
            66661, 79380, 97162, 5663, 35747, 37886, 29897, 7978, 41896, 72087, 14046, 8741,
            62880, 5789, 22283, 69247, 19567, 96905, 19419, 87851, 76367, 53792, 43804,
            18052, 94381, 12977, 15148, 82156, 52985, 95722, 66441, 49188, 4315, 29936,
            49983, 76023, 31975, 22374, 51816, 45145, 91778, 949, 97477, 89568, 32178,
            56432, 43350, 13638, 67068, 98400, 68414, 74630, 21601, 36027, 6718, 34227,
            46900, 48865, 40396, 54941, 91441, 61707, 15292, 60039, 65550, 77958, 52216,
            46830, 37172, 95328, 17293, 32941, 5198, 71431, 2293, 77345, 76555, 82559,
            96766, 20588, 43920, 60279, 58429, 81436, 22323, 93254, 94373, 53081, 31311,
            57332, 99972, 35610, 93112, 48638, 23441, 45618, 56962, 86497, 40874, 60702,
            91870, 12540, 15220, 95405, 7919, 27936, 54895, 43917, 52757, 5362, 95469,
            56936, 96012, 34846, 33086, 27675, 10165, 26933, 157, 8157, 10481, 80226, 23628,
            91283, 20189, 94133, 3313, 16619, 33817, 67284, 38336, 12215, 40646, 78391,
            5180, 15046, 67821, 58378, 59210, 98601, 77470, 92448, 64872, 88011, 8083,
            30353, 76586, 83743, 11688, 65951, 43441, 41288, 64041, 20605, 17286, 40189,
            78259, 10058, 50078, 40068, 9293, 66994, 55409, 8719, 21508, 14812, 56853,
            89693, 4140, 79170, 94411, 60016, 75045, 77110, 79757, 28769, 96730, 59074,
            10621, 92790, 22473, 7428, 39961, 65716, 76151, 47786, 3617, 75961, 58722,
            37567, 43268, 84256, 73917, 20894, 34247, 54463, 87087, 56636, 62966, 40363,
            16530, 21600, 89051, 26229, 12760, 58462, 49796, 24580, 36887, 83066, 56974,
            19147, 17523, 19429, 30237, 59291, 29261, 67664, 38151, 10791, 80794, 42365,
            98508, 68370, 76565, 25419, 3139, 18279, 96200, 37658, 53336, 56976, 89262,
            70564, 58022, 77231, 46049, 45740, 54219, 44467, 56351, 66736, 75069, 88670,
            60718, 40643, 32139, 66432, 62714, 77720, 22436, 83344, 60944, 68310, 48934,
            23283, 29244, 8976, 92704, 88570, 81167, 26895, 82131, 32131, 48972, 88105,
            49281, 61547, 2206, 82176, 97533, 49725, 40864, 80855, 91583, 12919, 49794,
            60648, 66402, 84937, 97549, 46487, 31643, 9797, 69888, 51468, 28528, 1071,
            63339, 43272, 32577, 13453, 60920, 96623, 52601, 40424, 87728, 96667, 17014,
            62166, 73842, 20575, 47717, 17410, 57666, 39415, 80174, 79579, 30456, 18110,
            28710, 7393, 16223, 99184, 57846, 46507, 53871, 4221, 84382, 70491, 51332,
            49832, 55984, 31704, 18438, 62969, 40231, 21561, 52835, 56665, 47158, 81169,
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            54978, 55064, 79051, 92376, 65526, 97448, 34658, 68588, 48329, 83948, 25606,
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            53986, 1671, 77487, 86844, 43258, 60283, 25978, 33143, 94456, 60694, 94345,
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            38563, 47965, 98341, 24442, 43237, 66133, 83428, 70859, 71433, 37511, 33824,
            56299, 78598, 53544, 22479, 36202, 16586, 21367, 27679, 36276, 26749, 71395,
            67321, 24062, 38880, 18275, 84316, 55924, 17234, 95912, 12138, 56306, 82900,
            49501, 35520, 19160, 19208, 7487, 97177, 26350, 94377, 24880, 48520, 2844, 6761,
            35916, 97603, 95217, 7151, 23029, 77144, 54513, 17901, 55027, 79399, 8158,
            29867, 17737, 71810, 56582, 88912, 69843, 84503, 42377, 24190, 78876, 76414,
            89901, 11077, 3458, 17462, 33865, 95137, 63600, 6859, 37443, 4010, 82459, 10976,
            66653, 57854, 9653, 18946, 63451, 5404, 46506, 99844, 26544, 55523, 96152,
            47302, 84343, 11915, 34126, 37466, 55332, 54007, 47379, 62186, 49357, 23172,
            84618, 29498, 39794, 37705, 43105, 70547, 3281, 81819, 34985, 74592, 66701,
            21509, 30317, 21604, 32419, 85880, 95428, 78904, 33958, 88075, 81086, 17150,
            11265, 13215, 13401, 8855, 13859, 39744, 43651, 35531, 48930, 58896, 80619, 630,
            53822, 84926, 34922, 37839, 94073, 91784, 46437, 52169, 16345, 97490, 33518,
            79459, 5373, 76779, 13230, 2154, 19754, 21919, 96982, 14727, 38059, 95704,
            18703, 26456, 84407, 57143, 56805, 46740, 68898, 62768, 81054, 90115, 94950,
            31192, 53306, 81132, 48199, 95373, 47945, 45328, 55768, 71004, 2473, 27828,
            99380, 57179, 39527, 79575, 74158, 93431, 71592, 60536, 34609, 15868, 22500,
            50391, 24519, 94815, 74662, 15858, 76072, 65171, 86352, 55047, 43559, 35790,
            88379, 5390, 55321, 83680, 56286, 96122, 69830, 31168, 35424, 31805, 98912,
            90056, 31443, 91518, 8876, 51531, 90889, 9664, 79405, 36540, 86189, 80870,
            37313, 6495, 66984, 47041, 66971, 93321, 57335, 73108, 40813, 79179, 91152,
            43429, 39982, 51600, 35053, 70747, 93631, 61900, 38753, 29520, 93562, 12381,
            36325, 32675, 89419, 88842, 43989, 58587, 30839, 48808, 59197, 37295, 38920,
            66534, 73533, 46334, 62250, 94011, 91634, 88769, 91672, 33385, 33039, 34402,
            86358, 57517, 9542, 63691, 77723, 124, 5125, 36449, 66988, 14634, 79571, 60228,
            85594, 53403, 79039, 18366, 59884, 33403, 25253, 68671, 87837, 36096, 95981,
            99186, 52814, 10147, 64628, 68821, 29485, 66310, 49051, 73149, 87558, 7253,
            16378, 16391, 78933, 59026, 78875, 651, 41763, 9748, 53332, 44463, 90192, 91374,
            67829, 3270, 18714, 85701, 606, 87429, 61165, 87770, 90058, 13214, 75250, 4956,
            36278, 60171, 69818, 48586, 7803, 56574, 12101, 96808, 23917, 62170, 23487,
            5361, 28843, 57747, 24031, 83389, 74262, 63724, 4150, 3844, 1030, 45965, 54361,
            90354, 73868, 27624, 12812, 23260, 60069, 94929, 58570, 15209, 59005, 78317,
            32198, 1997, 53856, 6932, 89361, 3094, 6217, 90390, 98774, 43287, 81259, 56404,
            93982, 84514, 37449, 30576, 91094, 44078, 9552, 92404, 86224, 10578, 27678,
            96226, 31800, 26290, 65624, 18578, 23324, 26281, 89232, 24610, 40666, 58757,
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            73445, 44649, 52703, 62557, 9950, 70736, 16187, 81142, 8144, 39498, 28670,
            63552, 83803, 75926, 42569, 42866, 87283, 7055, 16815, 88598, 80534, 34981,
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            64318, 84672, 7660, 17552, 27976, 71712, 4751, 28028, 12033, 15534, 32255,
            48110, 26973, 51305, 52978, 92026, 94821, 54711, 17950, 59246, 20317, 95921,
            45695, 20488, 84267, 95806, 24753, 89743, 73641, 66075, 78840, 77172, 43630,
            23627, 84779, 74017, 16574, 73952, 75214, 96059, 39119, 65107, 34367, 67965,
            47375, 55200, 60519, 76998, 58482, 5146, 55057, 4377, 54919, 37875, 3505, 29143,
            61320, 58198, 79018, 61373, 77324, 80295, 77926, 50275, 73070, 66581, 9362,
            53006, 48395, 44355, 16050, 38339, 45544, 76496, 11143, 47994, 74102, 55267,
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            96363, 67308, 60639, 69223, 63808, 23014, 41161, 75741, 33887, 85618, 3754,
            86141, 20982, 57616, 44744, 57158, 11474, 13358, 86658, 46068, 58050, 20457,
            85547, 97713, 54126, 45175, 90105, 34893, 61106, 79791, 98984, 59260, 52420,
            6965, 82886, 88968, 92776, 56449, 200, 9409, 37371, 34830, 33111, 94698, 84351,
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            33751, 54650, 67073, 21811, 43534, 42592, 21633, 76265, 49672, 43271, 17583,
            44677, 987, 77552, 8409, 93501, 71142, 67263, 73997, 59561, 81652, 42797, 56606,
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            32350, 18540, 34976, 3344, 33085, 14683, 95563, 1166, 77514, 56975, 90374,
            47246, 73489, 21964, 87609, 43155, 47575, 24794, 54920, 13784, 95287, 85614,
            17282, 52890, 21483, 98349, 39846, 10725, 51623, 83510, 76311, 554, 60791,
            67788, 75456, 99181, 45551, 24061, 52716, 49117, 84909, 60231, 11204, 53912,
            46660, 54413, 53457, 30769, 45910, 45311, 65757, 90965, 15848, 94323, 29740,
            5474, 30791, 31201, 15690, 87548, 95568, 92400, 26735, 60208, 4265, 52136,
            60154, 11384, 89366, 19383, 90424, 12395, 80668, 11596, 36463, 79955, 67745,
            45126, 18984, 40430, 6429, 63517, 85986, 55174, 44805, 4917, 8801, 55794, 66400,
            47614, 51023, 38585, 60025, 55307, 41428, 68777, 98556, 8347, 67881, 37787,
            78628, 1693, 13154, 22531, 19269, 79346, 4880, 73531, 29448, 93229, 59458,
            24664, 32689, 89160, 38372, 17627, 81833, 15205, 36471, 88007, 65459, 17581,
            78746, 42728, 8842, 95696, 46257, 81517, 9602, 5016, 23034, 95238, 8851, 12891,
            88267, 39948, 81401, 61635, 4887, 13845, 11973, 81964, 17221, 70375, 55600,
            32451, 937, 16939, 55181, 99232, 30425, 49855, 45136, 56538, 68683, 81672,
            88847, 96218, 21016, 57232, 85976, 34912, 71232, 63785, 731, 54979, 92263,
            89580, 56096, 23453, 31455, 60086, 89356, 50694, 1628, 94168, 31054, 8770,
            68791, 53559, 93882, 14245, 62834, 3452, 54046, 55656, 96511, 24678, 49798,
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            49384, 12170, 76493, 80822, 49619, 27932, 72117, 25529, 18589, 13561, 84688,
            53389, 23620, 8939, 3324, 98181, 75268, 17881, 54025, 12819, 17864, 42300,
            26103, 71564, 51599, 88117, 78985, 28203, 67856, 6162, 69706, 27619, 39466,
            39851, 77532, 15777, 6739, 79644, 71747, 67015, 2518, 26770, 47328, 64778,
            84153, 77898, 95776, 42205, 39423, 58412, 94648, 30301, 45960, 53795, 42812,
            5860, 99337, 4815, 14591, 49461, 39612, 77947, 90216, 64826, 71136, 19513,
            28192, 16760, 87154, 14467, 16950, 90283, 26216, 7408, 39830, 14393, 76074,
            33558, 80771, 73588, 86648, 94361, 95821, 55074, 54588, 78275, 2883, 1406,
            63109, 37180, 38473, 99317, 68569, 711, 23690, 89921, 31642, 26969, 90186,
            87795, 84210, 74910, 67170, 76460, 18062, 67092, 21418, 13484, 46312, 20489,
            95688, 18056, 67401, 80815, 18593, 85748, 97316, 77083, 83623, 76573, 17807,
            69882, 26849, 62253, 24541, 13442, 94524, 16324, 33568, 7507, 69029, 15917,
            8043, 25888, 5328, 61357, 81586, 53263, 79200, 56591, 85705, 35066, 91054,
            31745, 97764, 52206, 97074, 96085, 44407, 21256, 29825, 96716, 36675, 22189,
            5623, 62948, 76443, 4480, 39471, 2427, 40552, 38174, 61178, 71784, 64092, 99440,
            62889, 92220, 95964, 58148, 96038, 99611, 62034, 24069, 20018, 73875, 7909,
            11937, 61755, 41431, 55386, 93005, 83315, 3854, 46402, 24215, 40226, 98657,
            98375, 23139, 39114, 9011, 40119, 46874, 6560, 42826, 54495, 95836, 82370,
            77175, 61522, 70629, 46886, 712, 62113, 79652, 13245, 73878, 27064, 55671,
            91769, 66238, 72986, 4813, 1262, 96957, 64241, 46589, 41207, 81342, 90742,
            23327, 96979, 36939, 96843, 95062, 48104, 56353, 33508, 17392, 61691, 78076,
            3548, 50226, 76608, 48355, 80847, 35350, 1977, 72291, 5307, 87026, 88939, 33707,
            58856, 73976, 24023, 82758, 81915, 69456, 15103, 3678, 74799, 25255, 68004,
            75970, 60239, 63255, 23332, 67570, 20421, 74191, 13808, 66568, 58784, 86280,
            18327, 9634, 29268, 86527, 75190, 29080, 65532, 97731, 33885, 53636, 61253,
            95723, 22344, 1538, 40459, 99190, 29793, 7878, 17723, 55774, 42328, 65216,
            60896, 4834, 56430, 78740, 7517, 40432, 67473, 53219, 89240, 83728, 20872,
            27899, 53843, 6557, 41719, 48269, 52484, 69599, 61740, 11807, 50467, 18763,
            50952, 36353, 66846, 8793, 22423, 36483, 57363, 43609, 12835, 57227, 69426,
            39745, 76882, 2811, 56067, 5313, 63063, 7884, 5312, 90747, 11676, 83667, 92590,
            25646, 13047, 53067, 27805, 37176, 47092, 33182, 58458, 48056, 54475, 11814,
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            34700, 92370, 41028, 43608, 84530, 83445, 70460, 47058, 24862, 72473, 55190,
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            24496, 93509, 70384, 41545, 38375, 19551, 43959, 60367, 71588, 46408, 94890,
            40191, 29153, 40965, 97732, 80757, 13793, 68379, 53668, 36500, 66832, 91805,
            54981, 1884, 42343, 89344, 45541, 94528, 39270, 53570, 12573, 28672, 52810,
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            83596, 83717, 54762, 2913, 92270, 44259, 38815, 34100, 78501, 10221, 46175,
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            47367, 49875, 1252, 88668, 16190, 71107, 59296, 26835, 34838, 50457, 16028,
            82439, 40283, 55920, 37157, 5458, 54082, 31385, 6057, 59437, 46357, 17241,
            18585, 77220, 16442, 29444, 14399, 65687, 62975, 12771, 13020, 63970, 40883,
            19447, 67865, 39549, 6146, 41066, 26526, 78074, 9304, 22209, 70790, 2432, 6723,
            11735, 53455, 19798, 42958, 15676, 51737, 79504, 36332, 41463, 95994, 13045,
            97355, 86276, 43392, 93578, 13352, 81475, 31559, 9423, 28344, 57482, 86827,
            89850, 85632, 65826, 75516, 66298, 57527, 70459, 27820, 17348, 62970, 57032,
            26756, 66555, 37946, 9508, 51701, 21392, 27307, 58675, 3260, 4130, 70077, 34776,
            91930, 25141, 80724, 5628, 53382, 74272, 50644, 13299, 58188, 51538, 68292,
            86188, 88878, 40494, 18486, 84268, 26957, 46292, 59831, 39090, 51056, 42527,
            54641, 59555, 88484, 40521, 39876, 35993, 74186, 84141, 23935, 12246, 21614,
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            97018, 55927, 81657, 2167, 40438, 63581, 95805, 63978, 72612, 20836, 75991,
            84560, 15778, 47952, 33318, 46358, 70279, 91274, 66619, 54211, 34586, 85464,
            16597, 36000, 7925, 3336, 8751, 19765, 57080, 77338, 48063, 9371, 2633, 218,
            245, 95072, 11716, 59822, 53695, 4601, 762, 69610, 153, 51479, 4959, 18770,
            26796, 85165, 38325, 12734, 17984, 64718, 87186, 9710, 34238, 20779, 99246,
            39485, 8102, 54107, 28550, 63628, 6497, 67610, 4979, 32684, 57673, 44809, 13148,
            78222, 80111, 29590, 77867, 57601, 49086, 272, 80503, 85815, 28497, 2979, 30718,
            95094, 28347, 56076, 20058, 84101, 58383, 99694, 57959, 12761, 68249, 29374,
            77410, 34364, 77010, 62789, 39174, 76925, 53291, 37477, 31633, 98553, 63815,
            51735, 74731, 1427, 88684, 54809, 29561, 98352, 77371, 17146, 67427, 64481,
            13518, 55031, 43953, 35311, 49959, 11712, 59136, 91455, 6694, 44415, 20938,
            84695, 96554, 76903, 99901, 78774, 50617, 94918, 86133, 50148, 49105, 36377,
            9314, 59697, 95747, 23712, 14360, 62317, 35038, 54633, 21817, 75440, 25092,
            62426, 23229, 70486, 89870, 92693, 54097, 1966, 4298, 93400, 35451, 82172,
            30399, 749, 7690, 12759, 35223, 30188, 38297, 22723, 53019, 50000, 17816, 25769,
            65893, 70407, 30945, 28523, 48225, 44511, 25162, 34833, 25746, 96971, 98787,
            24809, 39128, 30083, 50804, 34571, 30837, 61754, 98008, 11553, 57278, 90575,
            74342, 43453, 21955, 30413, 83251, 21989, 50317, 33237, 86545, 12188, 68766,
            85624, 7063, 90849, 90843, 88255, 76567, 83451, 91144, 39045, 17920, 43382,
            50632, 39993, 10050, 34820, 38275, 86788, 79802, 19457, 87831, 1456, 15435,
            58826, 44778, 28343, 12087, 58532, 54532, 35584, 36441, 43307, 8805, 91712,
            91395, 4033, 58147, 19862, 31942, 84814, 30199, 62171, 28282, 48231, 30448,
            65073, 8290, 18428, 93461, 52928, 15472, 59327, 2041, 1729, 74418, 51366, 55821,
            5861, 34618, 46920, 99781, 53940, 85024, 63764, 99004, 22491, 94238, 97051,
            30789, 37335, 26497, 28992, 74982, 38458, 95794, 80151, 44940, 21191, 22242,
            21551, 71646, 10659, 30626, 79022, 10753, 26016, 34548, 43790, 72023, 1515,
            68049, 99172, 92297, 56989, 92082, 96097, 7982, 70606, 75374, 6245, 89335,
            24672, 92568, 82994, 43365, 52718, 54338, 44346, 52516, 58135, 64735, 69166,
            78360, 43463, 58775, 94294, 83758, 93984, 95046, 12774, 63881, 31326, 12154,
            34443, 30852, 30672, 15146, 38429, 68530, 31505, 29582, 59094, 23166, 74566,
            5379, 79796, 31127, 25884, 41375, 9670, 76296, 8325, 90933, 98833, 97614, 97811,
            33590, 18771, 54709, 7048, 9509, 67952, 79819, 17081, 40621, 90007, 64412,
            30788, 31219, 90607, 51272, 64366, 34210, 9982, 93483, 19630, 49377, 5660,
            50883, 47574, 16018, 14630, 32097, 73766, 68466, 86087, 39899, 28017, 97708,
            93213, 38175, 22363, 27934, 20879, 76816, 27798, 40005, 69324, 70063, 12590,
            60058, 17932, 95284, 11067, 69276, 93710, 17261, 82280, 64716, 17096, 57060,
            76650, 30097, 54392, 27320, 12770, 78184, 58470, 27349, 38029, 42265, 74995,
            92362, 50139, 14193, 24527, 87358, 35210, 88138, 11098, 63430, 76839, 88843,
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            80403, 79626, 63701, 942, 73289, 69126, 77823, 16327, 36603, 88118, 79676, 6392,
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            79692, 9854, 50435, 18354, 94857, 59793, 11736, 1383, 37210, 54757, 13957,
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            23594, 40676, 20105, 53664, 5476, 29048, 50376, 56021, 90982, 45871, 465, 4647,
            76922, 38745, 87738, 4673, 96673, 57966, 55753, 7936, 78558, 55727, 60841,
            37141, 37245, 81033, 92311, 65201, 23302, 74893, 57347, 76780, 18178, 33166,
            5665, 66027, 83711, 82580, 12708, 80345, 79099, 63068, 81170, 65758, 65666,
            62806, 96061, 72627, 8491, 88148, 79359, 2664, 9282, 39637, 2949, 3350, 52434,
            95629, 82391, 76437, 17334, 55746, 34556, 90230, 68857, 76527, 12035, 29034,
            79421, 84775, 15227, 88370, 12570, 83190, 38408, 42561, 59365, 31802, 20080,
            72369, 32074, 64645, 72352, 86238, 86255, 95754, 62617, 980, 99059, 757, 33187,
            98300, 48383, 87671, 10669, 48628, 15926, 70289, 7904, 6898, 30698, 53758,
            45187, 13447, 87287, 58581, 18472, 59160, 2210, 41909, 61614, 34293, 27711,
            48953, 71174, 8400, 19322, 35409, 12121, 78402, 50663, 72776, 31746, 9271,
            66429, 30914, 32285, 55733, 26059, 57652, 78114, 89395, 74611, 43588, 18450,
            85616, 36660, 47640, 48090, 74558, 86122, 887, 30426, 16885, 84187, 128, 26724,
            85926, 64703, 62722, 83170, 57842, 26020, 91452, 40806, 15206, 49611, 30121,
            53849, 72935, 2691, 17597, 76547, 5388, 63995, 25863, 83127, 77266, 90052,
            12549, 35142, 98975, 64679, 91298, 24353, 55593, 87458, 79857, 27564, 93082,
            27853, 99492, 94165, 24387, 85562, 62258, 6730, 84705, 85509, 82665, 4104,
            86244, 82116, 7568, 20103, 97894, 22366, 66620, 34557, 49385, 47794, 3390,
            39311, 8531, 94619, 36550, 32132, 50664, 90008, 14975, 78609, 15230, 39473,
            21869, 86209, 6233, 42198, 94804, 64262, 84777, 11798, 35489, 36316, 12216,
            32560, 36070, 38493, 10208, 8984, 38052, 82322, 13066, 69031, 63940, 26043,
            64981, 17696, 12803, 5276, 92489, 45006, 70523, 86587, 76593, 89655, 17384,
            89121, 60774, 48816, 33583, 65266, 66172, 35343, 7620, 69644, 2756, 64724,
            94979, 22297, 40998, 2842, 92824, 14489, 14098, 93798, 36345, 74092, 97397,
            31271, 61169, 66283, 54788, 70970, 30910, 77675, 40400, 30734, 94424, 7083,
            55399, 1341, 10022, 74581, 40146, 93410, 65183, 83894, 68507, 66772, 15887,
            67011, 33647, 94599, 53881, 51785, 72498, 31361, 34439, 83908, 34263, 88253,
            78838, 15014, 13473, 93302, 93805, 13707, 54944, 38054, 94742, 90385, 3674,
            36996, 45964, 83599, 48883, 62661, 64701, 42702, 18259, 67623, 41271, 43956,
            39072, 45111, 97897, 83518, 78681, 75776, 20303, 78664, 82539, 53630, 7768,
            37599, 34001, 35586, 83259, 5945, 44364, 40454, 58910, 57342, 75055, 99740,
            93401, 66478, 91358, 27329, 20293, 25433, 85816, 28322, 91061, 70371, 37162,
            96113, 60964, 38972, 4435, 40563, 78512, 90632, 69988, 3622, 74918, 45316, 9055,
            99207, 75098, 96515, 11503, 9206, 49771, 48392, 69424, 70876, 93988, 29200,
            94450, 92410, 83904, 35022, 28054, 10312, 34087, 33896, 91517, 77489, 59398,
            66834, 60804, 73333, 56915, 16670, 80710, 84878, 35720, 97034, 79856, 41170,
            45678, 92238, 89586, 70442, 28723, 24080, 23237, 9555, 17211, 85168, 69535,
            59738, 74036, 42358, 32692, 36546, 80708, 46700, 14852, 23988, 64780, 51802,
            98422, 30992, 51110, 74000, 71632, 63260, 49785, 81929, 71723, 41984, 31815,
            21900, 7046, 30096, 52515, 37249, 44912, 42803, 83856, 49799, 75906, 25959,
            58049, 17, 58831, 76423, 45685, 92038, 75249, 44750, 82589, 39075, 25326, 12314,
            75859, 44409, 55951, 18532, 59162, 85302, 78490, 29141, 92707, 37669, 47042,
            99196, 91351, 46392, 58894, 57536, 48573, 43769, 11795, 38086, 70120, 50713,
            19894, 86095, 68213, 55140, 29453, 1954, 8131, 12176, 14566, 83924, 97799,
            12392, 49847, 30417, 15421, 9713, 64553, 81641, 74837, 62144, 53705, 29217,
            45455, 12248, 37458, 27273, 91980, 96328, 99147, 48007, 16657, 66699, 88715,
            72704, 33660, 99061, 24647, 67067, 55739, 54638, 21545, 4542, 71263, 60626,
            39274, 54190, 13777, 15636, 65633, 82104, 18938, 90630, 50849, 54296, 32846,
            94327, 1630, 92543, 72551, 85627, 21037, 33999, 69646, 24197, 22157, 78610,
            61017, 13872, 11902, 13565, 7010, 3606, 80704, 44251, 90140, 85836, 81791,
            53185, 81125, 53412, 99117, 90717, 7347, 8523, 94159, 96733, 37345, 58600,
            73005, 43137, 31915, 76596, 30186, 724, 99533, 37338, 89141, 58295, 35518,
            50351, 32208, 16000, 40108, 72526, 25512, 63513, 57271, 20800, 58726, 62402,
            78947, 18810, 89285, 87121, 39734, 11948, 20766, 50912, 86248, 61925, 71202,
            80574, 30189, 87934, 30646, 58457, 82584, 39707, 6353, 67273, 21721, 60824,
            28600, 10551, 79848, 85702, 82368, 76364, 79286, 55572, 32367, 71121, 45563,
            10175, 69449, 84723, 88336, 95623, 29389, 80314, 79375, 26110, 35884, 44270,
            17009, 38744, 22331, 31107, 92240, 69330, 22476, 59651, 32101, 16147, 67832,
            52750, 24060, 62848, 85406, 68436, 64365, 42771, 65781, 86865, 28402, 69825,
            22108, 5251, 19467, 81244, 79974, 65132, 32519, 44690, 97247, 59938, 51804,
            8252, 55407, 53837, 72130, 87534, 56386, 67340, 98120, 21616, 76968, 17602,
            79043, 40735, 44725, 70792, 39705, 48228, 79717, 40511, 67485, 3712, 91905,
            71158, 44613, 24818, 94178, 64395, 16535, 53685, 84627, 21061, 65438, 1805,
            38989, 29303, 74331, 11924, 93698, 86368, 77342, 70092, 82975, 3812, 11291,
            68219, 89794, 47323, 30216, 9448, 27240, 52423, 82905, 39280, 97705, 9249,
            97096, 12479, 92332, 16169, 40010, 47748, 15400, 53760, 13821, 37138, 92635,
            5930, 70119, 90224, 39633, 18766, 57288, 27774, 1119, 92126, 36443, 44996,
            88195, 89034, 78319, 96227, 9938, 16158, 85889, 50695, 82606, 18367, 49824,
            1986, 62591, 18241, 54888, 27150, 29015, 98849, 47906, 22976, 48409, 97908,
            10452, 56051, 70314, 91558, 85118, 42199, 90603, 27091, 75693, 84602, 68160,
            81355, 34812, 48654, 61430, 53525, 78439, 85768, 9701, 34592, 63696, 96742,
            74495, 8954, 37016, 40520, 62851, 95047, 62179, 56251, 54372, 90098, 93171,
            35640, 86006, 44092, 91434, 13889, 19382, 49062, 65290, 90341, 55625, 66010,
            99148, 97268, 41460, 95296, 79087, 44987, 28487, 69100, 3794, 9432, 81080,
            90617, 62033, 59485, 63289, 57463, 88380, 93537, 9283, 53976, 64261, 89088,
            89529, 76906, 29953, 9400, 5696, 15957, 7910, 44656, 83239, 82495, 61289, 35306,
            64460, 95543, 8591, 89858, 57718, 13947, 85215, 11627, 33569, 83477, 94226,
            58038, 56236, 5184, 20604, 81623, 95616, 56634, 94438, 50456, 82784, 65113,
            56908, 86679, 93964, 28018, 36770, 2589, 92728, 17303, 24768, 51836, 67246,
            14352, 96376, 68810, 31062, 36354, 3282, 60995, 81648, 21301, 23511, 94560,
            98397, 90749, 47143, 25582, 1849, 5688, 36643, 4772, 96273, 79833, 38912, 39244,
            84968, 50937, 51543, 88575, 27622, 42626, 98052, 55740, 46855, 12082, 37713,
            45959, 41585, 96964, 30161, 45009, 59503, 49851, 53212, 69592, 89165, 59529,
            48750, 48511, 26329, 51939, 83045, 39412, 21947, 18330, 40800, 32118, 76684,
            18347, 19681, 6850, 6187, 62282, 56497, 24633, 4623, 88877, 38910, 20967, 7929,
            75835, 46336, 70614, 65210, 15035, 97825, 23861, 98152, 72374, 53916, 48462,
            81488, 39225, 62693, 70423, 53603, 41215, 66005, 40409, 98176, 22266, 75090,
            866, 17162, 48801, 10514, 75714, 83316, 40112, 7834, 17615, 84690, 2120, 92943,
            59844, 79372, 53314, 67138, 55337, 86998, 77054, 62181, 10103, 8465, 58536,
            76498, 99037, 11078, 56685, 66253, 32321, 16976, 34427, 85850, 80542, 89660,
            73097, 90124, 4294, 44878, 55760, 42775, 43853, 53915, 16893, 14995, 21398,
            49968, 23421, 67792, 86492, 76154, 30843, 92343, 28525, 44444, 3261, 99600,
            48844, 40474, 86916, 68902, 60701, 6398, 67714, 81284, 89039, 88371, 63912,
            1445, 25411, 41080, 24063, 24093, 68299, 87264, 38105, 14443, 53270, 87625,
            83329, 54660, 46206, 93186, 27152, 74522, 60628, 13626, 32654, 18010, 69630,
            49170, 59386, 68134, 93782, 81346, 71959, 14589, 86761, 11914, 57878, 15123,
            87723, 19985, 97996, 46968, 27990, 9510, 92663, 91411, 87, 55443, 49049, 2319,
            97976, 92437, 43792, 50798, 24523, 24534, 71346, 8304, 41470, 85110, 49844,
            79729, 46654, 39754, 15615, 10371, 35556, 30695, 19931, 39424, 3125, 46831,
            19825, 7020, 57490, 35841, 60641, 71270, 58540, 23893, 23023, 3969, 74600,
            53009, 93151, 9729, 94711, 87823, 48804, 30888, 65551, 83078, 36901, 39636,
            88432, 66725, 27506, 31887, 81282, 20682, 33469, 17976, 36811, 25864, 5392,
            34036, 58951, 44278, 1984, 11060, 51583, 57955, 83864, 65875, 60483, 49215,
            40368, 54250, 11786, 87117, 82493, 39959, 20752, 54738, 54725, 57494, 76009,
            10687, 28480, 54596, 4217, 59390, 2510, 17686, 45447, 43379, 11934, 15859,
            89187, 52349, 44418, 52780, 58111, 63105, 38756, 53393, 12414, 90154, 33, 25754,
            43472, 83994, 34260, 65924, 63021, 17460, 13000, 5569, 56477, 9480, 16616, 2239,
            8220, 35713, 4269, 89669, 14224, 73027, 59428, 18919, 70235, 26610, 84858,
            56755, 44411, 90937, 44870, 74596, 45079, 30360, 18440, 2273, 9686, 49573,
            45365, 74529, 33931, 86984, 78107, 1686, 86515, 11216, 19904, 18432, 28268,
            75870, 71948, 1352, 48423, 60420, 29505, 1833, 43456, 62605, 52777, 56680,
            33280, 32623, 80420, 32420, 21222, 39042, 25919, 75538, 80783, 98128, 67899,
            10212, 29532, 5250, 13787, 90413, 75783, 2570, 52116, 98372, 2325, 39109, 58783,
            86875, 81182, 24392, 31189, 37002, 73880, 99482, 21466, 50048, 31426, 39026,
            58433, 97879, 36740, 67420, 83154, 59491, 8292, 53731, 74311, 4536, 29232,
            57951, 27291, 44381, 68908, 69110, 37519, 30849, 85045, 17143, 91092, 75368,
            34382, 84233, 54547, 50196, 3024, 60721, 52645, 53275, 67232, 82165, 18009,
            87299, 17519, 22828, 95361, 78199, 13228, 21366, 17905, 14687, 27541, 1779,
            91287, 17224, 49753, 84519, 87940, 91448, 47868, 319, 74885, 28540, 70032,
            96509, 90789, 75363, 75266, 3768, 53114, 57160, 46117, 72756, 31098, 95726,
            30605, 25823, 72803, 52135, 18198, 50321, 36247, 11414, 20538, 36857, 60960,
            66038, 78321, 61761, 23822, 62841, 41302, 72602, 76843, 20383, 50025, 95430,
            76910, 967, 85605, 64957, 60612, 8859, 62892, 43944, 65828, 46963, 62771, 22557,
            39739, 75398, 91692, 22205, 72763, 97457, 24320, 46391, 27908, 88604, 48888,
            90796, 78097, 17072, 17860, 36315, 65870, 39328, 48210, 84177, 9719, 14769,
            24925, 43434, 35635, 95777, 60257, 4923, 3415, 39253, 76273, 23638, 31639,
            49800, 24001, 33691, 28204, 76758, 3872, 43295, 92655, 1295, 77057, 47920,
            96609, 71508, 99375, 99070, 63097, 8391, 71543, 22144, 5303, 26195, 12821,
            70312, 83835, 29907, 82557, 22480, 37161, 5049, 89229, 11095, 28008, 29957,
            80401, 85125, 2923, 68839, 66868, 49885, 26102, 27954, 34378, 6704, 30328,
            42162, 60876, 88112, 69871, 5533, 98832, 95252, 46870, 63527, 18373, 50414,
            96119, 91017, 52283, 25802, 98269, 52887, 93700, 29853, 80916, 18127, 53507,
            1268, 32153, 92583, 47828, 72154, 89427, 40252, 40382, 31414, 23053, 25745,
            44272, 36732, 64482, 9561, 58444, 81066, 74180, 69093, 7899, 38003, 17991,
            79328, 49364, 43620, 78688, 59446, 33912, 23623, 81885, 30136, 46458, 66361,
            62567, 32826, 30770, 59573, 22222, 97350, 3909, 64173, 24491, 15452, 91343,
            78931, 28671, 72983, 93356, 30793, 53734, 64700, 20161, 38160, 80455, 33618,
            57986, 45693, 81912, 22760, 82527, 62996, 44323, 66855, 28684, 70519, 77465,
            4659, 46634, 29717, 45980, 79892, 31284, 32722, 75985, 10307, 78308, 91289,
            20068, 70814, 3570, 9114, 81246, 34929, 93589, 12965, 41964, 52548, 26509,
            10285, 72578, 14127, 35564, 58535, 47219, 25315, 72083, 97462, 95295, 64672,
            73413, 40854, 21030, 32151, 88639, 71265, 78353, 33657, 94849, 27632, 24822,
            90646, 23609, 33434, 27650, 71500, 40366, 94703, 97135, 77046, 81489, 74144,
            16115, 92930, 87447, 4342, 94794, 45970, 80087, 27569, 22514, 73256, 31950,
            99265, 55605, 46724, 31516, 35748, 76183, 43791, 45324, 81377, 93844, 43681,
            94033, 38077, 17574, 81568, 60829, 6814, 39920, 90706, 18590, 5887, 3583, 4423,
            89758, 4998, 31752, 27006, 88077, 7314, 86164, 4185, 49313, 69816, 44131, 64606,
            89281, 63047, 1198, 7426, 18848, 37848, 61171, 92260, 19943, 40932, 44376,
            27136, 87466, 14679, 68148, 11376, 11221, 47205, 39293, 89029, 66203, 39900,
            86953, 28975, 19463, 44944, 96548, 84014, 78795, 73148, 87925, 34362, 93317,
            31270, 33044, 89614, 48380, 72709, 99448, 81928, 32067, 65571, 8367, 40209,
            91019, 64833, 67141, 68995, 74690, 43585, 52273, 12989, 86805, 38250, 1841,
            92803, 64113, 37920, 96857, 16154, 21653, 12623, 17218, 69517, 10911, 20826,
            20196, 52389, 4989, 98719, 13058, 63031, 6440, 40427, 57150, 87122, 70882,
            43011, 13008, 8575, 86952, 51239, 87198, 58445, 33856, 83700, 41644, 97374,
            46421, 65845, 16799, 70971, 3508, 30255, 77865, 76436, 75258, 75577, 55237,
            71393, 88146, 74334, 12181, 62937, 34380, 17021, 12811, 88631, 62657, 64797,
            16268, 34078, 72428, 58020, 87061, 97389, 32646, 6522, 22074, 82224, 49310,
            95831, 14831, 60369, 99895, 17811, 27239, 23660, 45342, 78777, 84601, 79721,
            27843, 95442, 95162, 49596, 262, 83762, 61015, 51013, 68029, 54564, 50501,
            11298, 25684, 94504, 37986, 56779, 42068, 95627, 22560, 30210, 86059, 79158,
            41852, 72916, 54364, 93390, 49034, 36621, 4885, 31836, 70283, 31223, 81528,
            63364, 11893, 91639, 15702, 93085, 35252, 60770, 77111, 38292, 14148, 2876,
            78809, 732, 79438, 63019, 2861, 35009, 25227, 28473, 4724, 76783, 31973, 93709,
            2449, 2877, 26409, 24131, 46875, 10905, 94219, 24414, 84882, 392, 11913, 49793,
            78805, 38409, 30338, 91697, 48324, 93507, 14743, 53064, 76374, 12796, 87536,
            31817, 78731, 21028, 97968, 96569, 73790, 76096, 41781, 27857, 97110, 65130,
            8209, 80905, 36090, 92488, 57188, 89903, 63641, 51375, 58106, 38091, 75123,
            47000, 45667, 86531, 96042, 71894, 52550, 8684, 31999, 18761, 57504, 1604,
            41646, 10341, 14551, 89820, 344, 42587, 63276, 37238, 40866, 72625, 34578,
            35296, 24402, 26270, 68557, 30841, 95367, 705, 13900, 31094, 65587, 12809,
            71081, 73292, 53704, 76225, 14667, 29984, 41052, 18355, 67744, 30386, 8864,
            62955, 31178, 60230, 89071, 49108, 64859, 21119, 54694, 76445, 24636, 50274,
            67173, 270, 97989, 67204, 37425, 56708, 57545, 72996, 86858, 18727, 85310,
            11665, 89303, 35473, 43029, 3374, 46837, 66682, 2274, 56627, 53505, 30033,
            74294, 95701, 86222, 98573, 58657, 79055, 68120, 83564, 10608, 89753, 30095,
            27838, 90342, 71738, 80392, 55838, 35560, 28305, 17913, 75423, 90875, 87359,
            64887, 14695, 91254, 65252, 33589, 32606, 86741, 55680, 84675, 8506, 19512,
            91268, 87761, 2335, 28891, 1961, 399, 70800, 46857, 44484, 21210, 14011, 30980,
            8795, 76635, 53124, 53983, 7757, 89242, 31940, 36386, 11637, 92812, 61915,
            63649, 50914, 27512, 71822, 7166, 25553, 13002, 71063, 64647, 51843, 23179,
            60130, 8615, 61822, 82449, 95596, 3567, 32353, 77420, 17103, 91109, 68725,
            93024, 48663, 53103, 18289, 28494, 61828, 21796, 41059, 21533, 90480, 2459,
            86461, 34390, 41652, 45046, 42767, 3541, 32445, 41556, 80051, 352, 15526, 85720,
            75610, 35792, 79607, 60906, 73702, 33305, 87073, 62924, 80319, 7753, 3183,
            52275, 26821, 80270, 31909, 3090, 7643, 792, 76409, 50498, 10685, 33317, 3410,
            77948, 85255, 14437, 7160, 9578, 89591, 79350, 45539, 7084, 61225, 31998, 49320,
            47891, 463, 39681, 973, 17354, 73107, 96793, 92351, 53476, 45630, 79745, 99547,
            75513, 17019, 52112, 28640, 43664, 14093, 42758, 16957, 1146, 70821, 13317,
            90826, 85472, 26786, 61076, 48568, 57507, 62723, 92117, 70015, 61891, 17028,
            96775, 35320, 5612, 61013, 39692, 10093, 16761, 92257, 58647, 63429, 41486,
            57125, 70910, 96300, 40587, 89627, 30658, 18560, 97258, 31171, 54467, 93616,
            84797, 49668, 61425, 41030, 73954, 23451, 36339, 34151, 49625, 42388, 15426,
            85635, 4090, 75560, 89735, 49318, 316, 46791, 9089, 4402, 35879, 50965, 51659,
            15380, 22059, 86980, 51469, 62981, 3314, 40545, 13333, 10634, 86158, 90895,
            74219, 44013, 33845, 68662, 76370, 12149, 66004, 89212, 47198, 11439, 89499,
            83443, 2096, 40667, 22800, 31286, 40863, 79339, 68344, 15633, 79334, 45712,
            38172, 15193, 20853, 22382, 55654, 35658, 36266, 25673, 5417, 17772, 1557,
            54822, 78092, 39318, 99451, 63326, 44275, 76150, 97524, 98543, 58779, 6431,
            48239, 33378, 56129, 89351, 29832, 21667, 76520, 11933, 6870, 31374, 73142,
            80028, 48193, 519, 66861, 97138, 88394, 71854, 59508, 65071, 36172, 77649,
            89226, 87349, 8835, 34294, 95511, 93320, 34573, 81821, 82570, 46796, 8414, 5893,
            10682, 36040, 71837, 63763, 1595, 6632, 28180, 73255, 43800, 89429, 37225,
            87772, 93657, 4426, 87033, 47991, 28819, 27413, 80439, 61121, 33629, 35001,
            7557, 70529, 14640, 51144, 32434, 34459, 96941, 11725, 37031, 21815, 34534,
            39018, 27543, 20150, 78068, 82128, 99134, 95671, 83242, 15240, 82884, 72794,
            99677, 32798, 32147, 38423, 84319, 77605, 3439, 28489, 18772, 86104, 55675,
            15897, 45600, 6515, 78358, 77091, 23829, 45609, 74947, 23514, 10320, 54045,
            75158, 90686, 39178, 33615, 94328, 39164, 64978, 43776, 42452, 39381, 48471,
            30340, 39630, 70975, 78218, 58329, 43775, 94637, 39148, 27122, 99026, 39521,
            34564, 10098, 94591, 123, 90738, 39047, 27959, 16102, 85056, 56255, 17795,
            18215, 31771, 2886, 92106, 72920, 58968, 13584, 24695, 7987, 78113, 62173,
            84665, 47563, 51552, 17660, 66999, 51014, 6733, 74319, 74695, 50967, 28572,
            85974, 92289, 49405, 65855, 32000, 28984, 47903, 624, 78210, 83663, 74570,
            43333, 62241, 18816, 40915, 18521, 82372, 59102, 54917, 87047, 48271, 91490,
            80179, 92953, 83633, 12675, 26803, 66289, 80216, 55060, 53682, 16470, 25916,
            46230, 36874, 53388, 78935, 99646, 96684, 4937, 69359, 74932, 69389, 38342,
            34794, 67748, 58196, 59249, 63748, 22793, 28926, 36712, 8283, 2824, 6158, 95894,
            61333, 697, 82772, 58766, 31733, 81160, 58200, 11801, 79636, 54693, 42636,
            29084, 53054, 51822, 20162, 77297, 76181, 84646, 24972, 46274, 14823, 19019,
            93451, 22258, 44522, 90938, 45990, 57535, 90278, 38111, 90030, 50938, 65336,
            66962, 22776, 93363, 21192, 49132, 75616, 37984, 81875, 78503, 90981, 50859,
            9025, 6238, 47326, 99381, 11825, 53979, 79959, 37917, 72961, 11730, 36503,
            50168, 54144, 98189, 38766, 15429, 48747, 12731, 81099, 98369, 24133, 98971,
            63819, 85775, 34463, 43125, 51244, 23664, 70815, 23051, 1238, 24991, 79292,
            35368, 98901, 68036, 52455, 78395, 29255, 3624, 57791, 56747, 2896, 28166,
            53477, 88812, 42739, 40508, 48464, 37650, 64903, 62561, 87845, 52771, 54256,
            60959, 29768, 5672, 52134, 91196, 72791, 83741, 6086, 97238, 41882, 17887,
            64437, 12445, 49026, 91494, 69254, 43754, 59134, 85119, 3498, 57334, 81149,
            29216, 67044, 11270, 36295, 37297, 27558, 53735, 76131, 70942, 82163, 41492,
            11152, 49418, 49097, 57411, 59453, 39731, 44670, 66769, 54383, 52393, 71495,
            49566, 25319, 62349, 23041, 73469, 43251, 22708, 84260, 34675, 20596, 45694,
            24640, 86491, 1793, 75146, 49016, 34092, 62718, 24196, 62707, 21421, 42471,
            59918, 5462, 76179, 65914, 70001, 81498, 11970, 34048, 5749, 92336, 56778, 271,
            96168, 51019, 70449, 80107, 60344, 73908, 1886, 27243, 36859, 4111, 41096,
            66633, 24251, 28944, 47036, 44062, 10513, 22219, 75584, 53652, 81555, 78040,
            97691, 97422, 19320, 83853, 95024, 26816, 90330, 83782, 68065, 92806, 96477,
            41345, 7138, 38358, 11285, 77484, 93856, 91456, 80658, 80956, 48672, 77453,
            9694, 29814, 39356, 9771, 88463, 16231, 34109, 86616, 50161, 60034, 43710, 3644,
            66300, 77873, 97047, 20267, 22115, 55240, 17484, 70500, 69669, 69172, 63277,
            78047, 77093, 37051, 69364, 46622, 5294, 26162, 36025, 27728, 12594, 70000, 264,
            20716, 4726, 3695, 64799, 18298, 69024, 40316, 14729, 51741, 17114, 65645,
            13629, 69353, 93071, 88586, 73137, 12165, 44399, 55639, 78049, 63760, 54238,
            17236, 17268, 17134, 14043, 6463, 81750, 28508, 897, 24854, 82358, 2021, 47168,
            6122, 70025, 73065, 35263, 28915, 11740, 55571, 57142, 84115, 81917, 88465,
            90477, 22983, 80748, 47108, 56965, 32258, 23658, 69048, 94837, 22606, 24424,
            31486, 95109, 32144, 28151, 49987, 40784, 56734, 72100, 29820, 69161, 45919,
            59285, 67390, 76846, 20993, 81014, 48255, 20208, 15066, 11280, 33565, 55294,
            40353, 73996, 66841, 81353, 86310, 76986, 86830, 79472, 86983, 8171, 33462,
            76126, 95957, 96553, 36627, 99350, 67400, 75531, 85075, 42235, 56815, 10648,
            67778, 9413, 42550, 51732, 95132, 5363, 36432, 20371, 34231, 73167, 41031,
            27196, 56651, 85884, 49334, 772, 19233, 56402, 22477, 5883, 38659, 56410, 81895,
            17129, 85461, 13297, 83940, 5987, 75554, 97263, 21205, 17715, 27334, 19094,
            74231, 24238, 7587, 7422, 53339, 80128, 28595, 54210, 79863, 26483, 19130,
            82046, 83196, 23707, 42721, 46929, 33704, 86860, 14783, 72829, 58655, 65162,
            94024, 26459, 92887, 41347, 14521, 83471, 72504, 98365, 32150, 9786, 86495,
            74298, 51437, 30215, 471, 12334, 90396, 23255, 83180, 60175, 6455, 38655, 80766,
            41663, 15634, 78858, 48924, 21123, 96231, 25613, 89065, 7342, 44968, 71842,
            88001, 39385, 87157, 69558, 43540, 19843, 55462, 89773, 20345, 98675, 38644,
            48443, 37833, 57181, 36329, 60178, 93765, 16704, 45896, 24618, 58666, 49276,
            77282, 73351, 21282, 58430, 35507, 33708, 36795, 99391, 55510, 51369, 880,
            16618, 73648, 51738, 9296, 47162, 37259, 54428, 19759, 30367, 35802, 23467,
            74582, 29290, 63640, 43374, 22615, 99015, 12451, 109, 82164, 73978, 65988,
            26689, 98118, 31305, 47963, 97952, 5136, 23818, 75204, 4575, 18123, 84258,
            50277, 67477, 65152, 9879, 72486, 76288, 24318, 32168, 48986, 40149, 50299,
            75695, 17380, 17972, 60120, 24265, 44156, 95790, 56387, 96936, 66343, 16609,
            94589, 7650, 21767, 43106, 13800, 61912, 67362, 69361, 44328, 92439, 90014,
            41204, 99881, 30240, 16623, 26094, 22915, 25393, 5934, 29623, 82785, 70906,
            88848, 58027, 7248, 57874, 40394, 95243, 76864, 27818, 73801, 75547, 83369,
            38543, 85042, 98218, 86371, 25644, 48963, 11240, 79238, 21907, 73999, 89780,
            26945, 13344, 84249, 66550, 54076, 13496, 69827, 87602, 80133, 79319, 64870,
            37520, 76110, 41102, 2843, 56802, 35046, 4414, 8782, 45273, 32501, 55410, 26545,
            86319, 35660, 56871, 41508, 37465, 77657, 38267, 55881, 84172, 7847, 29679,
            63102, 54481, 28876, 16140, 87911, 11183, 84369, 4605, 27142, 50646, 26986,
            87249, 99268, 27845, 59290, 80821, 48176, 53738, 3157, 82509, 64080, 86, 37685,
            22764, 38817, 35514, 29642, 57840, 22426, 12709, 97338, 49928, 80782, 84387,
            29635, 35454, 60022, 49966, 17527, 74742, 19497, 64495, 37340, 90910, 90189,
            15891, 26866, 49427, 98952, 25080, 28914, 94922, 4102, 35105, 92669, 41195,
            72993, 24699, 75395, 27636, 64002, 41010, 9259, 32995, 63041, 13088, 8624,
            39451, 86668, 51338, 1529, 74774, 56624, 42160, 67376, 64844, 71933, 59258,
            19440, 96222, 28412, 12913, 29730, 98494, 98892, 58586, 95809, 39325, 33067,
            80983, 28133, 16040, 31109, 6833, 10467, 40418, 16515, 90095, 75819, 6689,
            40612, 5109, 71685, 99389, 68765, 42576, 81706, 85564, 94351, 4368, 22330,
            61105, 91194, 35652, 43852, 57695, 13258, 69120, 68089, 57398, 18657, 5577,
            80487, 26962, 38492, 19296, 25827, 62631, 14065, 76025, 89832, 51205, 4769,
            15258, 52261, 74541, 14485, 82711, 59949, 1684, 44910, 88035, 849, 23351, 86396,
            30132, 27306, 44478, 71990, 57037, 15506, 22365, 56695, 43316, 85685, 13181,
            79102, 60638, 82997, 59582, 87640, 45298, 63215, 19564, 92112, 63653, 18693,
            54458, 40390, 49718, 81386, 99266, 21621, 18854, 90510, 99485, 11251, 22060,
            93935, 90347, 72630, 89508, 16312, 37601, 41572, 84085, 77341, 62, 49138, 49992,
            49704, 80869, 67001, 4320, 83744, 21327, 69393, 76018, 98151, 20907, 47718,
            16373, 97898, 91449, 10666, 15126, 1450, 5539, 20311, 14652, 39765, 21198,
            65383, 78750, 7334, 54261, 66944, 52580, 72944, 79310, 48634, 35048, 91145,
            35809, 84301, 27826, 18495, 3019, 49732, 52111, 63406, 4398, 65824, 61057,
            49110, 7914, 60843, 82178, 26458, 1989, 99962, 33058, 31584, 88907, 77244,
            73639, 16034, 77703, 88860, 23846, 3991, 82816, 37588, 88867, 21888, 68582,
            14201, 76382, 12267, 67673, 29904, 63788, 25031, 84090, 22964, 90547, 87963,
            88426, 81501, 16318, 89473, 62376, 92961, 29450, 51128, 21602, 44561, 7928,
            70041, 84194, 43746, 25806, 70234, 87564, 20995, 93117, 7986, 32260, 38718,
            80412, 85887, 38395, 43066, 34693, 5076, 58796, 31097, 44059, 87096, 43593,
            69012, 58166, 44068, 34721, 73264, 77962, 43431, 40361, 15096, 30794, 39464,
            75082, 23974, 64127, 40021, 40333, 94612, 76964, 56515, 50195, 36324, 99678,
            71697, 10292, 76503, 33116, 5667, 87043, 10594, 55912, 74228, 65960, 41040,
            41385, 94898, 83474, 44769, 84979, 57187, 32174, 16806, 5112, 49549, 46710,
            79760, 20825, 31323, 56216, 87091, 34918, 4667, 40649, 74382, 71969, 11408,
            89712, 89, 86433, 53193, 45707, 49038, 59373, 65871, 72407, 3160, 34396, 60150,
            74905, 11850, 74764, 82363, 60438, 42163, 51736, 41502, 73726, 15536, 47047,
            15101, 42237, 55421, 13294, 45864, 51606, 19205, 5980, 70431, 74444, 16343,
            31042, 18296, 74696, 87082, 5928, 72386, 88423, 19600, 56890, 5800, 78384,
            57945, 34215, 2588, 96738, 39173, 71670, 62522, 70057, 22550, 67820, 37621,
            7852, 62961, 4922, 17311, 18232, 25476, 76655, 58465, 8886, 32573, 29287, 8267,
            27363, 13820, 17113, 98455, 27090, 21025, 67124, 79433, 7098, 75034, 87414,
            61393, 32134, 71128, 12454, 65122, 84021, 99637, 48358, 50410, 48235, 82525,
            89793, 67332, 72331, 60397, 31528, 47139, 93276, 60410, 41430, 66647, 84275,
            18196, 85347, 85864, 20822, 83368, 43645, 32816, 61242, 80301, 11986, 47104,
            30277, 65268, 50628, 32874, 30583, 655, 13461, 43076, 10360, 16571, 7541, 46279,
            36159, 12887, 73356, 58025, 68968, 15216, 65390, 27671, 22409, 19075, 83643,
            75544, 77762, 37217, 99029, 37507, 72056, 42491, 33735, 59766, 54525, 36625,
            77859, 67037, 45082, 77863, 60061, 61943, 26405, 89733, 22646, 83604, 71505,
            66807, 42833, 28561, 62236, 48534, 61249, 59322, 79653, 98626, 22771, 19490,
            64491, 91922, 38829, 80928, 16241, 75378, 83272, 2253, 96795, 26287, 17893, 665,
            2190, 60566, 57636, 44857, 88936, 41979, 89371, 99987, 32776, 7303, 34283,
            72736, 80925, 39862, 96385, 37748, 13301, 58633, 19498, 62663, 20445, 20773,
            40475, 78661, 28999, 3613, 67702, 35364, 5356, 48543, 13673, 72414, 76956, 3470,
            30712, 8645, 34850, 34444, 25475, 69813, 21596, 94737, 5817, 2882, 40440, 10698,
            99762, 23519, 15979, 75030, 33614, 26586, 62912, 18619, 1371, 5546, 85938,
            80555, 15219, 36230, 15650, 70988, 32128, 52328, 77623, 65589, 96104, 11074,
            99764, 19069, 25396, 27181, 38783, 85750, 63794, 13012, 82386, 87596, 63096,
            26185, 429, 23921, 98668, 53743, 66781, 81872, 79523, 98814, 248, 12118, 88239,
            44454, 86683, 47527, 16662, 65952, 26974, 51535, 28015, 2508, 8423, 17754,
            52741, 42225, 27274, 48123, 67841, 60555, 76038, 50069, 68873, 46081, 67868,
            62347, 26613, 83440, 85807, 69949, 63994, 86780, 82747, 57649, 73509, 501,
            44187, 55448, 14688, 20807, 87171, 57858, 89629, 50684, 13436, 5353, 20520,
            94866, 46218, 50207, 36827, 3683, 14678, 19715, 10195, 28114, 92639, 38004,
            88081, 8341, 14653, 59456, 65178, 8703, 85833, 17805, 80510, 25238, 41133,
            79136, 82854, 7901, 60212, 37045, 57337, 11980, 5282, 4936, 81400, 57877, 48626,
            42814, 79641, 6077, 90616, 54041, 72723, 80554, 48582, 65643, 69362, 64418,
            82969, 83779, 23512, 1491, 33784, 25154, 85317, 91210, 38884, 32309, 68470,
            46694, 47919, 29430, 74733, 42723, 509, 78059, 57246, 56709, 92103, 84053,
            40490, 53985, 91808, 79822, 42025, 14325, 35716, 99418, 30422, 24484, 25685,
            67003, 97617, 61935, 51, 32197, 17672, 33686, 84832, 64982, 37192, 54667, 32813,
            47988, 24177, 18882, 71493, 3649, 125, 26271, 41397, 54833, 62041, 61593, 98155,
            18951, 96407, 30273, 85249, 17786, 32028, 28220, 13852, 28877, 92690, 97202,
            60274, 74789, 98313, 61996, 74859, 34130, 5681, 87412, 26425, 22023, 20606,
            44797, 58704, 39790, 38637, 65898, 27715, 44169, 12303, 6484, 8641, 89630,
            48777, 46352, 69383, 58862, 65746, 12405, 6516, 46413, 78651, 36319, 23924,
            72341, 18944, 19214, 44420, 18119, 21855, 21375, 882, 62800, 1637, 70138, 33866,
            92941, 12884, 24014, 54486, 88109, 12298, 23227, 61020, 2969, 52540, 60160,
            2654, 70088, 279, 42268, 25564, 12273, 70641, 41671, 32230, 7960, 62734, 45936,
            2487, 69682, 84230, 66148, 27035, 42766, 81065, 58182, 60679, 24189, 54893, 844,
            25594, 53181, 20573, 61129, 37729, 79330, 83047, 21224, 69732, 78344, 90714,
            87962, 92173, 37403, 39226, 83485, 67855, 9441, 50026, 44065, 52248, 52072,
            61019, 71029, 4678, 83473, 64323, 96703, 15921, 48328, 80732, 58510, 51486,
            33943, 11981, 48167, 59791, 31221, 96333, 83975, 74625, 92546, 93333, 55178,
            18859, 21613, 67851, 18865, 45483, 93484, 69746, 14386, 26267, 26010, 622,
            26237, 43873, 88553, 39112, 4550, 19297, 23199, 95436, 11287, 15131, 78438,
            19272, 14746, 82407, 36157, 84216, 6109, 59594, 90765, 78953, 50966, 87789,
            62759, 36346, 54647, 97999, 56521, 81804, 5272, 21379, 44233, 9225, 69320, 4581,
            82699, 67276, 50961, 51194, 25790, 65177, 50658, 14868, 1974, 68628, 33752,
            79477, 98803, 18645, 44045, 90366, 82968, 69533, 46044, 60592, 1680, 50851,
            1045, 12591, 70385, 10927, 73853, 9257, 8335, 95057, 66840, 24184, 52260, 1899,
            65076, 59213, 19607, 5563, 69485, 12458, 9013, 54825, 6015, 24472, 49477, 80508,
            83866, 35616, 29644, 43232, 10172, 78697, 60493, 40029, 88050, 94846, 27000,
            43168, 28320, 61584, 44345, 4091, 39281, 99601, 73685, 63095, 82278, 98927,
            6641, 96302, 7250, 2098, 93454, 51998, 25889, 13661, 5617, 60017, 61299, 94778,
            62131, 15657, 54620, 70793, 60443, 37682, 94513, 55461, 67129, 26455, 81070,
            46878, 44640, 98525, 43702, 31275, 23078, 62574, 28740, 22468, 86549, 2769,
            40776, 28899, 63782, 32375, 29955, 53156, 5153, 6606, 66278, 66045, 40436,
            41558, 2863, 75576, 78941, 25829, 71573, 23852, 41179, 36409, 72255, 18492,
            90426, 86314, 58247, 75935, 75950, 73095, 84145, 25334, 31418, 89406, 65301,
            34883, 69419, 26135, 73668, 56398, 52784, 94126, 94545, 67119, 94880, 84109,
            44928, 86892, 61964, 18066, 81709, 29858, 70042, 4543, 7906, 88027, 24360,
            56238, 55637, 68674, 97189, 26100, 50081, 81062, 31087, 2484, 66190, 91245,
            94542, 90129, 48792, 65072, 54830, 89142, 44189, 12224, 58371, 63799, 58658,
            47534, 26217, 35849, 75565, 14414, 91091, 47419, 1622, 97527, 55876, 44033,
            32888, 438, 38012, 97141, 36718, 68706, 9416, 44357, 193, 59424, 41424, 61780,
            57217, 73009, 12123, 74925, 81395, 21559, 4258, 38426, 59950, 67732, 95869,
            67588, 2075, 63049, 8434, 8861, 28828, 14500, 49438, 13802, 96475, 33137, 92610,
            31703, 75261, 31130, 65705, 21993, 9662, 17288, 9219, 9383, 14529, 45901, 46327,
            57144, 72811, 36141, 5656, 66631, 90037, 27574, 46955, 1993, 75532, 89265,
            67082, 13224, 65253, 92863, 48292, 85416, 46494, 14708, 25346, 30915, 775,
            13541, 19139, 53204, 8914, 8825, 63805, 69147, 59068, 90881, 30689, 5026, 65775,
            48676, 63570, 79683, 17248, 90449, 79345, 93291, 7882, 62844, 8018, 59894,
            20607, 40548, 66536, 20403, 6996, 34169, 72378, 43582, 91822, 63797, 17600,
            22958, 19103, 35115, 74806, 75878, 78532, 21717, 34080, 69951, 32246, 84630,
            24564, 1231, 78601, 24164, 60183, 32245, 35571, 84410, 56766, 97779, 52140,
            77775, 51333, 84038, 61669, 68983, 25854, 77385, 24619, 65352, 36388, 98604,
            40415, 13468, 18970, 44452, 11449, 23862, 29422, 68623, 24454, 85859, 29727,
            62428, 52295, 27602, 80850, 80519, 20998, 25934, 15605, 813, 96356, 95599,
            37749, 82066, 63575, 57279, 18491, 50072, 77974, 90452, 74517, 31092, 78550,
            74827, 43579, 22755, 13510, 56325, 98967, 47890, 37292, 80672, 66569, 71179,
            18384, 57309, 39625, 94809, 99783, 58272, 71277, 99632, 93153, 21659, 6085,
            68771, 47843, 34278, 70758, 29694, 45532, 12435, 94064, 1615, 68658, 52356,
            14348, 24681, 24658, 63549, 10559, 40208, 80150, 7343, 20681, 97741, 25362,
            61533, 65435, 57546, 2793, 86119, 35722, 19418, 49765, 83457, 11911, 13639,
            26243, 85719, 18363, 16745, 70644, 91361, 86909, 35580, 7496, 89504, 38114,
            91908, 17573, 98363, 23040, 44736, 39701, 15312, 76735, 71037, 45784, 68085,
            14933, 82766, 35929, 61399, 31004, 35416, 70817, 95066, 46092, 9433, 39156,
            51154, 97191, 83352, 62987, 80478, 82004, 1612, 49633, 16191, 60581, 49700,
            86064, 65691, 35267, 26083, 21076, 83808, 46937, 30168, 72338, 67969, 49840,
            73682, 43054, 3052, 68632, 53897, 20496, 68330, 73883, 30454, 33911, 90519,
            89074, 62142, 96317, 7003, 46697, 71873, 64227, 58632, 50987, 59333, 34913,
            73219, 67954, 2053, 70818, 12566, 43918, 79555, 4372, 68599, 85729, 3438, 28131,
            72973, 62494, 69415, 9741, 75329, 35568, 68129, 86799, 44146, 23502, 98569,
            48969, 36610, 49578, 71736, 92551, 45669, 91121, 28895, 65259, 5238, 55248,
            27790, 54729, 36063, 38837, 86423, 55153, 18140, 90481, 15039, 16389, 38614,
            40822, 10125, 44668, 11380, 34356, 53076, 7052, 2361, 18093, 41457, 66722,
            82907, 39443, 97933, 45138, 21029, 81194, 66377, 12419, 25731, 70853, 50674,
            65141, 93612, 61577, 20764, 57928, 127, 75048, 1482, 50306, 61319, 26746, 21165,
            67274, 61570, 54425, 86542, 81451, 65055, 83534, 62861, 77168, 57844, 80379,
            877, 73010, 89938, 72846, 80027, 58121, 71064, 65429, 71907, 34192, 52154,
            33756, 45268, 93360, 84845, 6976, 37234, 39258, 36066, 96070, 53159, 95151,
            50769, 59368, 23819, 26328, 63292, 2512, 48673, 80032, 53092, 1946, 66365, 3110,
            30557, 70113, 84595, 15862, 22782, 83407, 83134, 64686, 54571, 52819, 20401,
            14056, 82700, 55122, 3455, 41234, 84415, 34035, 9134, 41592, 21577, 69148,
            86275, 78356, 7407, 61127, 64800, 10010, 88295, 92883, 90443, 55112, 90500,
            84454, 59958, 19906, 33901, 68150, 1385, 13909, 74146, 63156, 60585, 95530,
            2146, 65985, 40896, 69542, 74793, 7662, 7371, 53300, 10398, 49050, 71519, 22507,
            49375, 41021, 42139, 32595, 3983, 20662, 49743, 50454, 7242, 11824, 10695, 7738,
            97068, 23403, 61207, 19466, 59017, 75438, 7479, 77397, 52333, 92695, 97939,
            16078, 62901, 76224, 36188, 73205, 40710, 14636, 58656, 96924, 97868, 99961,
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            3466, 32319, 58282, 69911, 99564, 57472, 66720, 43096, 54912, 3133, 68476,
            10847, 80387, 16526, 43036, 77730, 35646, 50701, 55379, 7957, 28206, 3447,
            60615, 64503, 44499, 58170, 2773, 89084, 69356, 22372, 65118, 63176, 65381,
            57204, 16615, 58466, 79699, 78992, 525, 20204, 87106, 49786, 21500, 45834,
            22565, 19778, 24058, 53010, 90872, 72757, 37181, 44054, 91587, 35903, 89235,
            31969, 51261, 7050, 60650, 99243, 35183, 40107, 3032, 19878, 39028, 72136,
            69684, 62284, 34990, 49238, 95170, 56667, 26506, 90811, 29423, 64251, 7333,
            61602, 3283, 78784, 28481, 64435, 6151, 63971, 21012, 57632, 15042, 12578,
            13147, 20926, 68944, 81984, 3919, 3327, 76923, 42255, 94925, 68670, 79013,
            63789, 98743, 64158, 35910, 72382, 29724, 28202, 95455, 30641, 13083, 7603,
            3481, 68284, 18631, 47779, 15248, 36561, 17427, 92763, 83402, 84297, 11107,
            36784, 27738, 33918, 74101, 94970, 12270, 99908, 38705, 16480, 69758, 73857,
            35370, 77000, 53757, 83185, 48469, 65126, 6662, 18106, 38454, 53584, 5040, 7340,
            30754, 21252, 34005, 5124, 43354, 87483, 195, 44401, 86553, 44882, 40902, 88302,
            11054, 45428, 15757, 97963, 91131, 38878, 39186, 49699, 79618, 81023, 58768,
            24447, 98795, 61458, 29718, 90867, 57654, 68411, 34277, 90692, 2468, 65158,
            60759, 71413, 99421, 59899, 12365, 69570, 54963, 66116, 95562, 74867, 8654,
            46316, 6708, 13120, 96819, 27508, 61313, 86183, 24158, 48990, 26146, 83989,
            88450, 34890, 79427, 25016, 6740, 14493, 18148, 33089, 93937, 97704, 79889,
            88009, 54251, 88866, 24520, 21999, 55309, 54105, 99025, 12942, 10948, 89902,
            73034, 24203, 69376, 33819, 45032, 15128, 16227, 71972, 19828, 27100, 98144,
            36810, 17069, 54870, 26633, 40254, 3780, 32372, 78401, 92068, 39344, 64198,
            5286, 21590, 75181, 76581, 17327, 84368, 97553, 13346, 18648, 71765, 8310,
            41803, 4151, 76957, 41111, 26737, 36301, 35241, 31717, 17856, 69606, 61473,
            83429, 33619, 75998, 54325, 69637, 14786, 31862, 71274, 35948, 19672, 64657,
            12889, 39312, 2037, 74033, 52668, 78612, 3395, 48613, 28694, 95471, 61572,
            76777, 87356, 41933, 77917, 47368, 76606, 12350, 96794, 55744, 63692, 45214,
            67689, 99561, 27477, 67842, 76241, 60734, 53491, 63474, 60036, 41570, 92342,
            3193, 26133, 36467, 65923, 19431, 67406, 52375, 4296, 66528, 13465, 71767,
            49829, 18048, 11888, 42892, 16398, 21080, 21190, 8284, 36676, 71629, 12076,
            42653, 54994, 1484, 3254, 29267, 74268, 43331, 98857, 59714, 84839, 92335, 5947,
            2846, 96496, 86102, 67327, 10494, 90550, 1678, 16823, 33036, 31316, 94256,
            85980, 18681, 84824, 79335, 97756, 93142, 67103, 25757, 62763, 18394, 4458,
            96872, 9715, 82179, 15083, 359, 65047, 18022, 53993, 58349, 58356, 94995, 77505,
            11401, 87699, 11636, 40305, 97327, 55298, 5869, 12012, 5514, 94353, 52177,
            22579, 54507, 84114, 47983, 99230, 90663, 96344, 32736, 25033, 42964, 9637,
            49536, 12242, 96476, 56647, 11433, 23733, 90146, 11284, 45263, 39650, 37411,
            24905, 94167, 44348, 29256, 63512, 55419, 57938, 2198, 38656, 64990, 55890,
            32414, 26503, 35086, 99456, 24038, 53706, 59225, 6747, 91623, 45552, 91353,
            56857, 34576, 62697, 18085, 93965, 98284, 28542, 31276, 66860, 97377, 57713,
            16164, 65312, 51562, 3434, 53803, 8849, 50763, 84556, 25, 93750, 45853, 49275,
            49977, 21091, 8868, 86832, 64155, 15370, 9523, 19933, 96292, 10402, 79515,
            91176, 44991, 80829, 76714, 63001, 79599, 85112, 7505, 16250, 89302, 82096,
            81948, 96126, 43126, 29186, 28893, 43778, 28179, 72570, 33897, 7763, 80995,
            99774, 95684, 86114, 82622, 86267, 31194, 3384, 11161, 93880, 30160, 67030,
            80354, 28447, 1967, 78182, 7167, 80089, 74386, 64913, 77748, 81721, 66573,
            41745, 56951, 50117, 9574, 83515, 94223, 54066, 17437, 43080, 37426, 27433,
            84206, 60557, 33509, 46105, 79582, 8802, 72569, 12189, 46145, 39773, 6148,
            22177, 43113, 46110, 63328, 24717, 82481, 55282, 48213, 47698, 26882, 63591,
            88494, 69317, 75722, 34669, 17724, 78316, 61850, 4997, 83497, 12988, 59273,
            64406, 20561, 11797, 88594, 73729, 31892, 71860, 44116, 33792, 66516, 71672,
            65292, 9992, 79336, 2678, 10821, 17345, 15959, 2421, 67871, 91161, 21266, 69434,
            60909, 5543, 28575, 18442, 17507, 9746, 75628, 32881, 48782, 43624, 1901, 45406,
            86714, 93989, 34613, 65088, 48048, 92143, 30834, 42385, 8425, 41317, 70058,
            47515, 635, 15693, 50464, 36898, 39622, 7562, 38866, 80960, 43682, 40730, 57283,
            75629, 89959, 45380, 50033, 37319, 48041, 53852, 82208, 42513, 81061, 36290,
            73686, 16527, 74171, 52758, 38115, 60584, 1051, 16822, 69797, 72469, 44421,
            91134, 70746, 33082, 20044, 22920, 86691, 74312, 44584, 79241, 53768, 72977,
            63776, 11381, 62467, 70228, 32167, 42786, 77507, 49600, 78063, 33783, 35218,
            72359, 66991, 94595, 88619, 97446, 32847, 64762, 43888, 55067, 91195, 55812,
            5173, 63145, 92881, 54171, 206, 56720, 6619, 69329, 15434, 82698, 18253, 68624,
            89688, 87365, 72924, 54345, 56439, 87630, 47211, 66625, 44016, 50214, 184,
            92229, 29611, 59629, 66235, 67686, 75322, 94568, 19992, 26015, 20009, 5710,
            28021, 15602, 98059, 65835, 32773, 51624, 14972, 82716, 48198, 75008, 84159,
            98766, 93692, 46951, 45387, 87891, 65767, 15751, 77381, 55324, 95587, 50749,
            80464, 71831, 62116, 33936, 175, 31747, 21141, 63229, 4440, 71194, 372, 16873,
            88727, 30905, 84857, 58268, 94788, 72994, 33293, 81340, 17269, 58931, 93540,
            79117, 96060, 89836, 71476, 80583, 19402, 67509, 55928, 21562, 46430, 4260,
            94255, 2423, 62404, 35389, 34122, 379, 7777, 19505, 63307, 92087, 55135, 58117,
            9592, 33893, 95259, 55874, 1350, 67915, 27033, 94062, 60764, 57088, 645, 64156,
            60229, 12084, 91601, 17904, 98906, 70341, 42482, 40713, 10803, 18421, 8532,
            80294, 35746, 44683, 31877, 52871, 14113, 14798, 21344, 92442, 50395, 55090,
            80306, 8715, 72057, 6507, 21230, 58778, 37502, 28879, 9141, 72640, 1286, 95767,
            72564, 31596, 13725, 58872, 18397, 98981, 66077, 69785, 58330, 75932, 47548,
            44564, 44559, 72669, 1323, 56004, 13420, 13464, 30816, 98457, 63887, 58989,
            23423, 33382, 57436, 79386, 23169, 20444, 67505, 70404, 28925, 95018, 45083,
            90104, 79840, 70037, 90453, 48244, 70148, 67045, 71285, 69849, 52927, 60983,
            39279, 10586, 35387, 60570, 76673, 96918, 94150, 65752, 42593, 39580, 33921,
            19178, 4697, 89654, 86054, 84877, 65975, 78119, 96751, 33321, 31439, 47708,
            52257, 2122, 46459, 58479, 9831, 76280, 18036, 51547, 94800, 82309, 92722,
            73746, 80064, 50868, 42226, 52948, 49809, 16484, 53000, 75040, 90210, 36279,
            53564, 25545, 61035, 23644, 90691, 74959, 15490, 12308, 2543, 63045, 79462,
            2242, 93975, 46980, 63759, 55761, 63949, 55313, 49127, 95040, 77469, 37850,
            85559, 34499, 12174, 3687, 23972, 96150, 23084, 90797, 46806, 94759, 49908,
            90681, 38993, 67422, 61970, 84067, 31378, 25688, 19723, 75841, 15570, 15162,
            65353, 89475, 20634, 39883, 26875, 23271, 20054, 49582, 83712, 30722, 96021,
            3777, 19962, 24364, 38661, 55041, 84809, 46531, 3830, 40367, 84227, 78185,
            33531, 42554, 56357, 54019, 82233, 47318, 42425, 53890, 26564, 86057, 63434,
            78622, 50358, 74077, 63627, 62737, 16784, 47980, 22609, 97205, 10367, 63163,
            68729, 72237, 67567, 19240, 57018, 61263, 48283, 46045, 81329, 94799, 88424,
            9160, 17830, 36928, 99114, 36484, 77770, 76716, 45756, 58659, 44741, 70047,
            91710, 78157, 37616, 65523, 44181, 67537, 98649, 97313, 9147, 18518, 45425,
            62195, 7108, 14758, 53027, 50291, 97156, 15268, 47402, 73229, 84678, 56673,
            99719, 11529, 65359, 54500, 41816, 11769, 50853, 58969, 51868, 50352, 96348,
            15589, 85370, 87901, 51303, 65868, 80904, 73129, 27372, 59520, 93732, 92805,
            7254, 28601, 46731, 49457, 12725, 59640, 1697, 18506, 61788, 14669, 85062,
            29691, 15322, 97398, 83972, 46825, 39710, 35521, 40078, 68606, 50879, 72395,
            93908, 76664, 92519, 84009, 85677, 76174, 19101, 55396, 92148, 84232, 19558,
            40990, 41833, 88020, 68301, 91384, 37243, 9260, 18720, 11590, 66730, 24193,
            28035, 76604, 69023, 65786, 7249, 33667, 46367, 99796, 19078, 99179, 30577,
            85254, 37487, 16545, 41643, 59463, 19773, 80606, 1707, 68179, 81862, 16394,
            63334, 75252, 42253, 65539, 46422, 76787, 36842, 50479, 61826, 83905, 8616,
            80842, 72774, 618, 41962, 40904, 96680, 19071, 2505, 53747, 73390, 67131, 87537,
            24757, 54768, 21013, 70586, 66008, 30347, 57357, 23734, 11818, 27701, 33369,
            93064, 74988, 47744, 32453, 58092, 31773, 52517, 95231, 68048, 1059, 50516,
            5698, 20640, 91596, 77133, 87155, 53884, 61103, 10456, 3423, 17636, 84072,
            19035, 61728, 60601, 16801, 4576, 44829, 66941, 20842, 75917, 67474, 15064,
            21487, 84889, 65412, 63656, 45379, 5283, 11351, 44043, 19307, 34763, 76488,
            45570, 92186, 85256, 20642, 23379, 63924, 70230, 4238, 21629, 80640, 12450,
            7608, 46204, 95896, 31686, 55608, 53538, 64490, 29473, 5159, 71513, 13089,
            31112, 95008, 49678, 94747, 10737, 88729, 87774, 43150, 96646, 24994, 4080,
            7145, 25841, 55748, 86427, 46114, 2801, 41829, 85322, 91334, 76853, 65304, 2336,
            28832, 53896, 71088, 90226, 56655, 58551, 62760, 39952, 27431, 18182, 78026,
            32401, 56808, 53617, 31534, 87737, 22889, 89123, 93862, 40542, 40050, 41697,
            77848, 23074, 17643, 96398, 92175, 66222, 42417, 9117, 16418, 32068, 30143,
            15609, 5022, 77780, 61341, 79407, 67396, 55866, 55078, 82072, 3584, 43452,
            75068, 13951, 1281, 63313, 60127, 73860, 11515, 79191, 23796, 86160, 33775,
            99160, 13687, 10625, 18613, 2946, 93211, 26637, 23417, 22267, 40326, 54354,
            66710, 41606, 25910, 22995, 41925, 27438, 24072, 11993, 79192, 18595, 66889,
            93018, 84008, 22582, 31313, 43360, 12094, 90584, 82619, 36531, 36238, 25277,
            77081, 33515, 38479, 9908, 78637, 77138, 53581, 66993, 12103, 61538, 56616,
            82877, 71714, 14047, 91817, 3585, 67997, 31790, 27359, 83863, 27948, 29452,
            38242, 47299, 70370, 96994, 14012, 94833, 54411, 83706, 89692, 72416, 51730,
            96989, 89985, 3758, 3181, 75966, 23286, 84658, 59964, 16729, 34081, 39942,
            59443, 65298, 28383, 93689, 29123, 57922, 19601, 22271, 46677, 8517, 75046, 55,
            47883, 20633, 19150, 85737, 43749, 31968, 57468, 25117, 71809, 49504, 38341,
            3610, 73084, 40535, 28612, 97106, 26807, 1988, 60304, 32170, 69432, 19573,
            80377, 20652, 42909, 61711, 4727, 81, 24826, 30753, 71572, 31682, 53655, 43159,
            34545, 45868, 25875, 73165, 92454, 73948, 49684, 6381, 31088, 85440, 56877,
            85245, 93030, 57437, 51203, 50887, 90884, 1501, 32274, 50734, 62739, 71675,
            71955, 73121, 74639, 13864, 19842, 98279, 65966, 93378, 59692, 20986, 50930,
            58836, 85293, 43599, 3488, 26044, 63057, 59454, 82653, 57331, 84582, 20994,
            52268, 79784, 40113, 15643, 55931, 14271, 50831, 32605, 44017, 29445, 27254,
            86441, 79155, 60583, 30297, 9214, 9640, 52208, 92890, 62630, 14725, 6526, 10722,
            22458, 40345, 2391, 4840, 50585, 45794, 19136, 13210, 63472, 30383, 44918,
            60186, 90325, 45054, 4993, 47075, 90792, 10647, 51094, 41311, 19158, 61830,
            99084, 13578, 81265, 84483, 68001, 11048, 29981, 4077, 20704, 28257, 58234,
            61624, 23699, 53914, 24539, 80531, 9712, 82719, 45354, 80545, 79106, 21685,
            92062, 62596, 17341, 58126, 49898, 77894, 96238, 81876, 4832, 32182, 58998,
            93627, 37539, 91826, 55969, 48699, 61438, 53194, 79389, 42230, 95386, 97640,
            73026, 90815, 56456, 45517, 32410, 52468, 13192, 88612, 85140, 39804, 89172,
            60206, 19911, 98629, 41559, 67994, 27088, 37933, 87612, 97239, 6893, 83414,
            69664, 75019, 6511, 27765, 25329, 20386, 28391, 41267, 64372, 27526, 47467,
            54940, 80828, 243, 51493, 27466, 2933, 79287, 41714, 67515, 91413, 16463, 17027,
            47666, 47437, 13010, 40780, 12031, 96851, 32742, 59282, 83792, 50228, 60497,
            14472, 31893, 34276, 3949, 66953, 44046, 18011, 52175, 18765, 54156, 75078,
            72464, 20156, 58755, 54915, 29392, 608, 10834, 53848, 31866, 70709, 78152,
            38046, 23007, 98106, 27718, 70756, 12359, 89024, 28912, 28589, 93456, 99052,
            24286, 25087, 83504, 6510, 16652, 29714, 13216, 2808, 20081, 62336, 72942,
            67604, 61236, 98466, 12119, 1768, 61194, 70021, 52298, 41126, 73138, 55127,
            74819, 84402, 39504, 26925, 99847, 6647, 81343, 20214, 62950, 18417, 62198,
            86868, 88147, 82147, 27861, 97672, 91991, 34516, 99640, 87438, 56356, 25917,
            79821, 34266, 8739, 63067, 80126, 31691, 62348, 81957, 66791, 91761, 8050,
            10232, 9404, 42264, 77635, 65883, 32474, 11946, 44553, 42355, 4369, 91154,
            78237, 73831, 89913, 78272, 16766, 13059, 47193, 25648, 364, 30460, 75296, 3722,
            76034, 18452, 83124, 39990, 47374, 72260, 93787, 45405, 9321, 5389, 3140, 41154,
            60009, 94439, 93372, 74836, 71930, 5185, 77499, 37061, 7566, 15721, 33498,
            35838, 97998, 76162, 28254, 58373, 51313, 527, 99141, 94433, 9885, 81559, 35814,
            63766, 31177, 15962, 59647, 6831, 2622, 86469, 91642, 49806, 15729, 59620,
            51557, 102, 59624, 82383, 19085, 21170, 82203, 52766, 33993, 51025, 29973,
            71176, 30375, 15562, 4574, 64192, 61848, 96160, 79228, 76786, 19116, 84299,
            78690, 11131, 63479, 73008, 62298, 86444, 64923, 389, 92101, 9185, 52164, 78677,
            83052, 90561, 78778, 35638, 97367, 63361, 46153, 24037, 37074, 12021, 40611,
            72938, 43115, 63582, 82979, 8023, 99590, 45297, 96825, 8334, 29173, 82212,
            29983, 65910, 53767, 22083, 8498, 29689, 12815, 4945, 98115, 14111, 13368,
            80705, 92942, 85858, 18502, 71507, 2200, 98085, 75599, 48504, 38700, 84372,
            96327, 81256, 52659, 3033, 91433, 82572, 76354, 12045, 72267, 18954, 93546,
            63491, 40808, 57516, 15444, 45478, 38704, 26799, 74172, 68142, 18987, 66379,
            4067, 63937, 3564, 99267, 59307, 19654, 77141, 72240, 11516, 68239, 23317,
            26798, 20308, 66642, 52732, 20306, 59037, 93212, 87506, 99264, 31108, 47506,
            64838, 21006, 84431, 31198, 59140, 77562, 14164, 45314, 36448, 87054, 81416,
            72972, 41353, 32048, 57366, 94559, 13723, 72897, 79171, 95133, 29264, 27094,
            50194, 31281, 57943, 36915, 64050, 72248, 36253, 95169, 95782, 34751, 31121,
            77525, 67891, 60892, 55246, 25568, 87479, 35466, 3586, 26839, 65370, 7924,
            73901, 1062, 69115, 47189, 17003, 53727, 46498, 24140, 14884, 25579, 2753,
            81980, 69999, 95439, 64726, 93904, 93253, 92478, 35540, 96121, 75001, 10916,
            79461, 8839, 22556, 46038, 4567, 53117, 47693, 63839, 72406, 25953, 30128,
            84521, 87463, 78536, 61758, 44231, 42214, 17933, 16947, 52920, 73528, 95845,
            74632, 13739, 83149, 31707, 58505, 9553, 4824, 2590, 71078, 1546, 93299, 32075,
            87708, 67953, 1329, 97627, 98371, 62352, 85959, 91489, 87905, 45190, 61491,
            67836, 89594, 24125, 61854, 45096, 79906, 93406, 1221, 20824, 7971, 58895,
            10690, 7649, 71550, 3757, 77967, 67448, 20187, 99225, 68489, 1141, 31304, 34415,
            48008, 93926, 50217, 66207, 24249, 45158, 18353, 43451, 79232, 33376, 88209,
            77782, 1838, 36236, 14067, 59047, 25674, 14517, 62611, 67677, 58907, 66348,
            45929, 40055, 1078, 94233, 54008, 66562, 59567, 8733, 85273, 30410, 8458, 55402,
            12828, 23896, 47860, 70920, 90974, 28628, 76304, 60988, 82491, 14768, 8665,
            78016, 48240, 49216, 20942, 81107, 88107, 69653, 68793, 37768, 48205, 21122,
            235, 86797, 8148, 4327, 54129, 10571, 10196, 87470, 70625, 10943, 25988, 72126,
            24448, 48971, 6228, 47067, 80040, 79830, 24027, 60243, 65713, 59512, 11504,
            12232, 75015, 80890, 45750, 69686, 60402, 19964, 87670, 32500, 85173, 11524,
            16436, 93783, 34886, 71800, 79548, 19009, 26958, 10742, 52503, 62005, 31768,
            4707, 24110, 28759, 26221, 5618, 65230, 6973, 90821, 23307, 1772, 19967, 93374,
            62060, 1900, 95512, 17533, 72762, 93305, 97404, 45058, 27381, 58990, 76901,
            89991, 66908, 19594, 95631, 56223, 55704, 78592, 4266, 62001, 13242, 92666,
            65543, 42469, 11644, 40121, 97362, 55674, 35570, 94347, 39206, 90444, 92031,
            70297, 75025, 88013, 58403, 99306, 46789, 92348, 87333, 47142, 69787, 23969,
            73153, 26975, 9103, 48159, 86411, 87570, 73822, 83665, 85809, 29873, 15940,
            11477, 16715, 49043, 64685, 35403, 24602, 18371, 4363, 74628, 50125, 3128,
            20524, 11110, 99888, 8854, 32565, 14023, 58950, 14685, 42366, 23840, 18797,
            43876, 17485, 63359, 29254, 1924, 7501, 48656, 97797, 55050, 12850, 79388,
            67110, 28186, 9338, 55542, 99364, 25818, 10283, 5804, 71758, 22852, 22955,
            92178, 83793, 59002, 61527, 56584, 46307, 32220, 75000, 91998, 72891, 48684,
            59590, 3538, 99658, 22720, 28064, 15672, 22831, 60789, 51221, 16818, 58900,
            45471, 62243, 9408, 5480, 86070, 7808, 38999, 80173, 3539, 71090, 74042, 29695,
            26280, 43922, 95431, 55778, 59616, 59641, 13360, 30563, 59905, 27784, 40638,
            34808, 99917, 15741, 55043, 46241, 7096, 57773, 77972, 97711, 4624, 31058,
            94562, 34774, 14383, 88352, 1712, 51266, 37700, 89766, 74188, 84307, 62556,
            7799, 95103, 70410, 40295, 14392, 51643, 31170, 6779, 60765, 97649, 98253,
            25508, 17609, 65028, 45579, 66276, 19473, 48579, 39859, 88563, 35278, 25977,
            5110, 97136, 70023, 24021, 11874, 76659, 11304, 17610, 49937, 54805, 23419,
            39044, 34422, 44018, 42879, 43921, 88520, 50997, 74022, 61136, 56699, 39687,
            23002, 8535, 95520, 77368, 5773, 9968, 55491, 3783, 21570, 98137, 26668, 68666,
            21314, 553, 76782, 98827, 50158, 64087, 47285, 28432, 96892, 76167, 36780,
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            34740, 65596, 96358, 63442, 50442, 46820, 15806, 88029, 95000, 99954, 46258,
            98681, 37674, 14651, 1388, 63695, 74840, 31978, 67479, 83760, 82362, 58418,
            81052, 80077, 74072, 73669, 83415, 7810, 49295, 80011, 72514, 71649, 60715,
            92947, 46858, 9280, 49423, 2802, 5195, 82586, 91481, 57012, 88008, 49856, 80202,
            86544, 22705, 86745, 76112, 57907, 32537, 55486, 40314, 26066, 40651, 81594,
            90824, 61413, 40057, 1944, 29382, 33524, 96353, 80209, 49393, 73957, 29079,
            42863, 46611, 3345, 63758, 5341, 72007, 2458, 67498, 85184, 40279, 76411, 53274,
            4719, 88106, 68600, 93481, 20295, 74467, 82123, 31017, 88556, 4178, 47775,
            84129, 82241, 80984, 83535, 17898, 99269, 58652, 88176, 57847, 40787, 10060,
            59992, 41667, 94479, 61903, 73269, 60596, 11456, 2030, 20205, 3375, 33021,
            16620, 86067, 80655, 23096, 43926, 743, 99864, 51047, 95304, 91528, 6644, 86375,
            17880, 20852, 47063, 81741, 78726, 63792, 70911, 82, 52013, 9689, 91810, 76920,
            90572, 69070, 52137, 23006, 13337, 26449, 24372, 78132, 77100, 92819, 30751,
            37381, 16897, 96421, 33090, 79601, 86994, 37039, 44708, 38952, 30069, 81959,
            29919, 16461, 78648, 3764, 5396, 98910, 1767, 26163, 92192, 13180, 13958, 14158,
            32299, 48911, 23608, 17748, 49280, 26313, 38274, 43628, 68644, 55979, 61008,
            42612, 42015, 60166, 45124, 80580, 30522, 482, 4100, 84531, 19328, 69058, 52525,
            90778, 19245, 85265, 81880, 23144, 60956, 16209, 98323, 58941, 24334, 42032,
            54420, 61630, 67013, 61971, 99916, 84215, 93868, 20687, 43253, 94389, 81916,
            80163, 91825, 60722, 39916, 97545, 98682, 3130, 27519, 34332, 65425, 86454,
            11977, 82142, 51661, 3651, 30706, 62497, 8296, 91618, 20174, 16407, 75499,
            76584, 25510, 69867, 11905, 56072, 7463, 51498, 31521, 33288, 74583, 16972,
            76361, 42196, 60938, 87633, 39030, 23082, 93417, 61328, 86857, 13969, 81756,
            75940, 21929, 99339, 14893, 27354, 43008, 14055, 92967, 73571, 22811, 74284,
            75493, 53363, 30868, 12510, 8521, 21915, 87994, 88545, 53910, 46693, 61800,
            35831, 89046, 6253, 82051, 30607, 20153, 68753, 7497, 55335, 8427, 96828, 40944,
            91356, 1866, 72127, 55563, 16914, 44738, 40096, 85437, 9821, 33820, 48114,
            72998, 19708, 1750, 30755, 53446, 40079, 73146, 10516, 48385, 62869, 63646,
            48970, 49131, 64007, 2771, 89164, 28860, 56490, 85492, 4037, 15098, 14728,
            72849, 67167, 20972, 81491, 19868, 32181, 39502, 70999, 13234, 97086, 40405,
            94505, 67350, 13165, 36872, 92012, 94933, 78226, 4569, 86706, 77379, 12768,
            15417, 44818, 77837, 10148, 27893, 77204, 50083, 78636, 58283, 3956, 70321,
            43457, 22670, 18914, 19074, 44874, 67169, 5065, 40137, 77354, 37401, 94225,
            36334, 43502, 38464, 92485, 56983, 4712, 54102, 33153, 29395, 25263, 16928,
            15807, 24510, 48690, 68501, 50673, 59464, 75809, 70779, 3398, 6899, 2464, 40261,
            61152, 68173, 18028, 19599, 14997, 33108, 48492, 54976, 12679, 27583, 27754,
            20723, 18316, 52603, 36488, 25516, 3095, 95398, 45869, 54221, 88902, 64031,
            47174, 89133, 65660, 78186, 20566, 58526, 34722, 84281, 75536, 27229, 32552,
            11525, 66024, 43031, 45637, 61041, 30846, 21039, 95766, 72011, 16267, 71537,
            31096, 78987, 97403, 57635, 63250, 40003, 52384, 11045, 68702, 42730, 31566,
            44536, 87001, 17553, 98225, 59501, 60414, 49915, 42003, 45402, 82260, 86128,
            10389, 55189, 26367, 54983, 7391, 57927, 95687, 99083, 77882, 2052, 21439,
            41069, 68692, 54530, 85891, 3235, 37244, 52369, 71748, 52348, 82891, 94103,
            4734, 54080, 89454, 49547, 86536, 11276, 71711, 20242, 94272, 81630, 23384,
            82693, 91157, 35760, 59183, 95602, 62769, 13324, 23781, 1401, 56840, 78373,
            42322, 54288, 79417, 55507, 6651, 19072, 65597, 61649, 91058, 96002, 73559,
            49911, 39896, 34879, 99366, 44359, 63375, 99868, 94841, 97204, 34206, 84898,
            16955, 64128, 59728, 68366, 66813, 70149, 63212, 70003, 46880, 49298, 10070,
            3297, 66419, 8262, 80024, 9941, 55226, 19004, 67455, 51852, 13340, 44269, 78852,
            46453, 56835, 680, 43976, 68259, 20531, 40919, 26206, 37741, 83253, 5509, 42125,
            78352, 66785, 60268, 97714, 77045, 93459, 14604, 25556, 88442, 25168, 17967,
            16330, 3317, 86826, 56990, 97895, 15427, 57041, 70372, 47365, 79658, 92004,
            28444, 19638, 67090, 36967, 96785, 17120, 70426, 31431, 85855, 67053, 71941,
            17008, 90986, 14413, 34674, 54776, 22511, 94903, 81914, 55817, 92141, 44672,
            13485, 38855, 77159, 18977, 5657, 36972, 60669, 1972, 75607, 27926, 15351,
            66103, 23912, 31342, 66867, 30473, 8604, 54399, 62783, 14123, 61109, 86075,
            46714, 32109, 52037, 70926, 18385, 65697, 28594, 57167, 71864, 62694, 55125,
            77520, 89685, 75066, 54733, 97729, 96265, 12088, 80767, 11599, 1817, 18165,
            81903, 77737, 81207, 59015, 40799, 86234, 32878, 15495, 83450, 85504, 96722,
            24873, 22184, 90837, 85479, 69030, 66082, 30844, 80630, 99374, 15621, 88281,
            52293, 79507, 26688, 65807, 85371, 28045, 73904, 37418, 30276, 56285, 47720,
            91333, 4452, 93577, 71052, 42926, 20185, 79657, 38327, 41700, 29675, 20416,
            67948, 19413, 93498, 9636, 77842, 69625, 36469, 6832, 60457, 14723, 34197, 4527,
            62610, 46686, 76418, 54619, 67861, 85527, 15381, 97836, 97078, 14861, 27491,
            9261, 48026, 69141, 46464, 6447, 34909, 68604, 42299, 65461, 77242, 4796, 1475,
            96711, 66571, 71349, 50573, 10201, 20680, 74709, 77604, 61874, 57905, 87955,
            89392, 12622, 70601, 30761, 64204, 18500, 80621, 27642, 52314, 59227, 71891,
            34831, 58577, 97485, 48646, 51790, 65504, 64311, 24616, 18511, 91566, 97953,
            30266, 7269, 3007, 87812, 7804, 55165, 11069, 73318, 98603, 8037, 91158, 87522,
            47544, 24506, 77478, 46612, 45166, 32381, 10435, 48113, 41655, 23688, 30057,
            75172, 41048, 4693, 59646, 86630, 26524, 23388, 47539, 75328, 3847, 63703, 7528,
            77126, 7280, 56787, 76122, 86229, 21689, 33639, 18, 61388, 94883, 69283, 38905,
            62444, 5295, 2006, 99650, 49354, 59580, 97600, 88605, 10565, 28673, 55643,
            74706, 49308, 7860, 28871, 16733, 63387, 87876, 98083, 17476, 69658, 77618,
            34874, 75413, 85241, 3921, 70560, 54938, 97091, 95664, 8006, 64891, 48051,
            15918, 70272, 32996, 9661, 4545, 45728, 28104, 10331, 87317, 11345, 40061,
            50983, 65620, 98875, 14236, 72047, 65451, 31933, 43595, 87111, 35020, 81770,
            89297, 91076, 1927, 6999, 9739, 57029, 62633, 96523, 1870, 87409, 85109, 44709,
            25296, 86575, 62876, 74930, 11330, 26150, 59363, 53929, 8125, 88351, 48815,
            13071, 63283, 308, 22034, 45363, 41018, 43342, 24087, 56743, 63871, 9571, 9002,
            2647, 46364, 33688, 21204, 437, 15998, 5106, 86569, 48169, 15623, 5431, 69568,
            95491, 98900, 66098, 7524, 18081, 41824, 12810, 42450, 89145, 40373, 72901,
            72253, 18122, 47522, 62097, 86719, 93769, 51176, 53506, 86939, 34372, 94603,
            23805, 64244, 9112, 78314, 61777, 51276, 80224, 70470, 60801, 2318, 79441, 6098,
            10715, 205, 14145, 96399, 81278, 84184, 9048, 5793, 7172, 19396, 39781, 72480,
            75407, 99729, 61092, 4741, 24005, 54473, 27421, 30407, 1282, 29551, 94478,
            85475, 40625, 5841, 71914, 14562, 22107, 49265, 72429, 84686, 9075, 27937,
            91136, 58909, 87189, 35261, 23970, 94369, 24639, 8417, 7911, 24871, 64620,
            28259, 31399, 77292, 28287, 84449, 12722, 80053, 80935, 30631, 24597, 99735,
            63698, 42433, 33276, 95460, 9700, 3804, 64109, 29993, 9958, 12565, 18787, 99615,
            18181, 53096, 75658, 56578, 54551, 75341, 19772, 47141, 30024, 65035, 73280,
            97591, 62736, 24150, 62333, 24962, 90381, 48261, 61725, 32201, 88974, 8902,
            54203, 88012, 85937, 28609, 10256, 26155, 83223, 47284, 94805, 69242, 18313,
            5885, 69930, 33371, 52065, 56827, 68421, 38764, 21425, 79680, 71119, 78376,
            48001, 58325, 59913, 82498, 35064, 90461, 47712, 95203, 29039, 32126, 33638,
            36681, 29715, 2086, 32592, 75999, 73897, 4415, 64276, 7920, 75157, 79645, 51986,
            87338, 71586, 24765, 33365, 14730, 93630, 82086, 56133, 12683, 3781, 35340,
            17479, 32199, 96220, 77955, 22255, 89256, 71097, 7913, 34582, 45512, 27058,
            45368, 76987, 39144, 82155, 93940, 3526, 91648, 43049, 64604, 78780, 66425,
            74032, 43214, 57904, 93753, 7260, 91707, 28897, 33339, 24489, 37053, 28275,
            54769, 42004, 34875, 35360, 82818, 78578, 23329, 43413, 88723, 59337, 74488,
            87540, 20936, 33716, 70624, 32617, 6925, 14583, 37315, 93225, 12416, 55100,
            23374, 72020, 2003, 78116, 23856, 44935, 57168, 37538, 63765, 92458, 42073,
            80447, 40985, 58764, 54531, 30509, 71624, 43850, 11552, 3114, 8671, 81110,
            33335, 2680, 74416, 83714, 77137, 45325, 31875, 29137, 10295, 45327, 54510,
            32236, 2782, 49879, 76689, 60823, 6982, 16665, 52526, 73244, 58839, 79828,
            47941, 86228, 82939, 75201, 67932, 87914, 2480, 60855, 13467, 2117, 58204,
            84563, 86716, 47453, 86436, 17979, 8867, 2055, 35484, 62757, 60853, 62204, 2537,
            7709, 11724, 48342, 91835, 84213, 94566, 89755, 68727, 76817, 67942, 8493,
            87926, 46170, 44969, 54339, 46087, 95547, 84762, 78320, 15988, 49656, 35422,
            41330, 78948, 99254, 60703, 52553, 31134, 15818, 93214, 14596, 36648, 23677,
            43476, 42842, 70861, 75097, 80728, 84414, 47493, 60055, 50990, 76191, 92150,
            74762, 6010, 50359, 15390, 81776, 93077, 17065, 55121, 34160, 78895, 8282,
            18736, 97595, 57924, 80241, 81974, 83460, 30819, 98265, 7729, 9188, 63469,
            59654, 28796, 86626, 3893, 79825, 1943, 22122, 75943, 51037, 96281, 4981, 4986,
            60226, 73278, 1877, 55006, 81820, 37624, 18225, 88224, 22863, 36990, 60891,
            71600, 41855, 76791, 81622, 26523, 93472, 8360, 17056, 73946, 2926, 64177,
            43421, 84285, 11869, 87560, 78436, 5513, 50360, 66676, 61176, 93686, 26774,
            30991, 57761, 39139, 49277, 43, 46899, 77421, 64888, 34975, 22917, 37566, 48802,
            41778, 8071, 98280, 29144, 18434, 36100, 26252, 64528, 96175, 42363, 73515,
            87961, 12702, 88304, 71405, 32244, 61168, 25071, 97038, 33938, 12398, 63147,
            38081, 74388, 69015, 65140, 70733, 55741, 23249, 74435, 66583, 93373, 92907,
            37916, 62751, 96844, 17652, 50394, 78655, 85569, 25353, 86955, 25520, 89358,
            85054, 1153, 74166, 19259, 45953, 59137, 75255, 46428, 47520, 53040, 95514,
            61926, 77464, 59031, 67000, 13594, 32024, 62608, 4906, 40219, 42889, 75545,
            74552, 7921, 5801, 7126, 67894, 87334, 2461, 2520, 19124, 97717, 42819, 12029,
            14817, 14499, 38729, 51340, 57280, 18226, 28708, 40000, 47095, 88412, 49571,
            66750, 8799, 55842, 19427, 40741, 2759, 49926, 86595, 94988, 8446, 90382, 42083,
            2034, 68998, 39034, 53629, 89528, 53151, 60844, 1138, 87606, 63550, 83311,
            11935, 95924, 30044, 25562, 8755, 49425, 79666, 40697, 36524, 80123, 68782,
            95724, 64419, 80360, 93803, 9496, 78597, 82367, 41853, 72560, 52332, 12576,
            66709, 13815, 7058, 99679, 28449, 43359, 32981, 532, 81674, 42381, 9390, 92721,
            69062, 78514, 777, 95388, 42640, 28053, 41196, 15501, 79811, 97028, 36064,
            81563, 63270, 17015, 61945, 71483, 14734, 93039, 55207, 75876, 11685, 99208,
            12254, 60113, 35781, 97171, 11624, 4081, 4161, 50620, 58254, 86127, 39991,
            91295, 60723, 52103, 99594, 39419, 58506, 78062, 37402, 73646, 11423, 67869,
            24798, 34865, 33249, 74839, 32803, 96098, 119, 45649, 63053, 97306, 40603,
            29591, 92323, 18291, 16765, 92694, 22985, 24626, 71666, 85132, 1255, 81772,
            12485, 16363, 82625, 38844, 75615, 77326, 5069, 17877, 77255, 96271, 67667,
            95314, 1589, 60526, 3287, 80873, 68384, 81236, 58169, 58871, 37213, 34639,
            29881, 58501, 48139, 36569, 70116, 83314, 5383, 79126, 43399, 21802, 26381,
            42481, 24010, 87237, 29030, 50439, 76433, 20878, 94682, 69379, 8762, 25472,
            32895, 23228, 34780, 99514, 58107, 97233, 78826, 27866, 17906, 31712, 41339,
            52909, 60698, 50453, 70580, 73377, 46583, 82880, 65409, 18679, 84171, 39207,
            88905, 97470, 12287, 44108, 93435, 64086, 30621, 18080, 74375, 88401, 92648,
            95343, 97994, 25640, 30822, 19278, 80605, 3169, 79423, 55770, 73171, 97460,
            53285, 77993, 8629, 24214, 74808, 26288, 81187, 6300, 61701, 89154, 8945, 98868,
            8413, 37189, 40099, 91726, 91829, 72902, 60140, 59414, 97264, 64566, 20289,
            32899, 72052, 15273, 98131, 35201, 7072, 24824, 75392, 91477, 69296, 394, 28443,
            40201, 78958, 96596, 74574, 3723, 55528, 80835, 78920, 32318, 28097, 3164,
            56294, 62051, 12160, 82688, 67348, 54180, 44439, 49714, 46778, 7037, 66644,
            90679, 97862, 88241, 33006, 93119, 20551, 41015, 17611, 86456, 79499, 25655,
            4300, 24675, 59852, 68139, 22890, 89604, 67825, 12442, 22673, 97184, 89799,
            26178, 90624, 34242, 91656, 78181, 28271, 17123, 31930, 81707, 5495, 12737,
            65170, 70249, 39894, 82647, 58562, 83843, 46833, 9494, 57197, 62639, 18623,
            81229, 52061, 85503, 66064, 0, 88970, 86199, 48645, 47106, 97172, 15410, 96848,
            58504, 48426, 53396, 51681, 18185, 24153, 26978, 82369, 99318, 74645, 97037,
            57710, 88952, 77449, 78510, 24500, 34127, 86504, 5598, 27176, 69200, 93310,
            85746, 87140, 10752, 38035, 31640, 25887, 83513, 21338, 36212, 65703, 14481,
            86278, 4446, 63407, 89558, 13760, 67132, 14838, 59909, 28955, 32882, 86589,
            50429, 46165, 83525, 25923, 55762, 69207, 45429, 14934, 63190, 5338, 55642,
            72293, 78054, 82276, 44956, 59058, 49989, 54844, 85404, 8077, 85010, 13940,
            79403, 72653, 67605, 3637, 83452, 23158, 43541, 4736, 72684, 22926, 88134,
            77108, 86150, 29574, 34045, 13264, 51797, 41399, 81096, 18217, 34213, 1370,
            97101, 57628, 29033, 33395, 39977, 76512, 71304, 18653, 2586, 16520, 93539,
            1134, 54894, 53640, 58558, 10576, 74862, 50067, 80402, 2755, 64302, 19115,
            10630, 3209, 38735, 51124, 2752, 70839, 21641, 40291, 71229, 29146, 97252,
            23440, 48531, 55649, 29140, 78088, 24154, 55001, 66755, 24471, 53874, 9393,
            81180, 76467, 60444, 80990, 43825, 86910, 54820, 21680, 23616, 64960, 71106,
            51769, 75938, 89140, 36176, 63257, 86956, 72475, 96580, 24113, 55223, 60586,
            48331, 20107, 98127, 94675, 68951, 77995, 70251, 64292, 29723, 27031, 22406,
            27563, 33366, 37602, 70843, 36641, 74395, 44937, 54063, 40105, 1933, 10531,
            26354, 84939, 30875, 33511, 99224, 75302, 60899, 17726, 82677, 87450, 23752,
            6778, 51628, 61411, 4333, 86012, 54395, 40248, 26954, 72379, 71127, 99805,
            41004, 92388, 73271, 64205, 66511, 42437, 1250, 46812, 84899, 34392, 97203,
            60937, 44019, 7536, 82542, 12857, 71944, 82103, 8533, 34558, 18891, 87521,
            18114, 68480, 32893, 87320, 61818, 53449, 98184, 99931, 40652, 94245, 71438,
            89689, 9632, 66097, 52249, 83234, 48536, 40565, 75973, 13160, 88452, 11022,
            50704, 19837, 66575, 79418, 38165, 33035, 95850, 5332, 54956, 47895, 59846,
            23112, 72140, 86736, 1452, 52054, 88687, 25371, 43469, 28173, 93222, 96315,
            57841, 51370, 60365, 62328, 89582, 45494, 58520, 97414, 42016, 5054, 28987,
            98804, 17132, 53166, 94066, 70652, 83490, 31291, 52594, 56940, 96472, 48560,
            65507, 37488, 29051, 21777, 74601, 39398, 96555, 79809, 86107, 60272, 40760,
            8853, 83860, 99586, 12051, 59305, 88044, 86996, 84819, 45733, 63206, 41650,
            98640, 86757, 76320, 72361, 1260, 53260, 51503, 17442, 35606, 6884, 8800, 94298,
            80399, 41075, 52688, 77500, 94028, 25044, 13452, 50812, 20694, 40349, 41858,
            54935, 86455, 1835, 73092, 65723, 2261, 58759, 40036, 57508, 91396, 36116,
            80072, 43655, 49451, 87710, 55657, 66978, 83523, 29735, 77429, 38768, 21822,
            43426, 6416, 83850, 71545, 11602, 15008, 15164, 83765, 87460, 82741, 23396,
            12873, 36903, 17321, 69677, 19535, 19808, 31553, 795, 16595, 72546, 93533,
            31453, 77325, 62482, 28722, 6934, 83791, 17771, 97800, 75997, 9915, 1485, 21895,
            80735, 10640, 26996, 42115, 56362, 94390, 35591, 26943, 27489, 63452, 93647,
            38141, 66204, 15419, 97749, 14060, 67338, 70078, 15684, 99506, 38903, 78968,
            10061, 1357, 23631, 20114, 87946, 15753, 77858, 96087, 61331, 12092, 46414,
            56652, 3127, 38309, 12528, 6014, 81847, 18055, 88151, 17444, 29745, 15499,
            26763, 29404, 40921, 53562, 89291, 85784, 64525, 69551, 6048, 70175, 96625,
            56814, 78831, 11746, 94045, 78144, 7036, 97198, 23120, 47260, 26860, 59559,
            97503, 71001, 2452, 68590, 71654, 22919, 44688, 71337, 98725, 21079, 95084,
            92846, 42092, 95899, 94076, 37617, 45590, 81251, 99042, 18218, 85682, 36971,
            11326, 82236, 71813, 63519, 43034, 11836, 93204, 87104, 76566, 56887, 21812,
            80162, 61503, 2513, 77002, 85565, 5842, 85283, 39665, 27921, 11347, 63500,
            42263, 58483, 63136, 46709, 810, 73521, 86537, 64976, 95064, 77369, 84081,
            64986, 70232, 98818, 33259, 80784, 10346, 53955, 15790, 46034, 58255, 43464,
            1603, 20627, 98645, 23450, 10691, 98187, 56131, 45289, 86391, 40573, 21829,
            56320, 5847, 16738, 23650, 65832, 47364, 90285, 30192, 59718, 7573, 78303,
            56804, 27713, 52648, 86045, 42599, 78889, 19664, 14014, 22829, 20333, 45941,
            18583, 21515, 50896, 37311, 61668, 98009, 32308, 62647, 47029, 65089, 58544,
            44625, 5571, 63301, 46271, 7681, 86926, 26025, 234, 5736, 96245, 7452, 95531,
            50743, 65250, 51074, 50034, 18921, 81121, 84142, 96744, 34638, 42611, 75171,
            40374, 28423, 75937, 66986, 83867, 86108, 62096, 97761, 97405, 81214, 2750,
            53676, 52700, 10095, 18897, 15277, 6334, 18909, 16168, 95917, 49184, 4523, 2440,
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            32879, 31300, 41498, 35711, 66480, 94798, 6877, 87764, 6062, 73111, 98977,
            36615, 1690, 31989, 32439, 65978, 80259, 42639, 47303, 1265, 63464, 24990, 7486,
            55587, 73941, 90372, 10983, 43821, 79214, 29023, 79432, 75188, 81008, 39506,
            92095, 54542, 69815, 60522, 93974, 343, 56956, 49548, 37027, 38588, 94081,
            42275, 44154, 85769, 47951, 25028, 83023, 61196, 33491, 59013, 48288, 6167,
            36838, 55118, 40751, 44931, 15372, 77988, 92415, 24418, 41459, 40, 55618, 58979,
            38562, 57869, 84298, 75169, 16332, 14387, 90463, 83769, 46902, 8205, 97257,
            25183, 7297, 66662, 69620, 5407, 31349, 36523, 89831, 1796, 40845, 87271, 45519,
            30028, 61052, 45679, 39370, 24913, 47531, 7903, 47490, 32119, 4499, 49675,
            46433, 64698, 96803, 59652, 42817, 39380, 5510, 37820, 10202, 21355, 90188,
            70873, 39305, 64293, 30103, 82011, 10836, 45481, 37247, 1959, 59084, 84238,
            44757, 5270, 38599, 16816, 26359, 80800, 49398, 50946, 36711, 97863, 29587,
            75381, 9366, 94767, 23386, 31321, 96960, 38897, 14611, 19582, 66514, 10109,
            43340, 21555, 82238, 73672, 99676, 55882, 92958, 70717, 79237, 12130, 59097,
            654, 44680, 74162, 95960, 70060, 5605, 32832, 50860, 5875, 47385, 64658, 27736,
            19029, 27478, 24654, 53723, 74363, 84338, 43973, 37938, 46343, 86731, 23076,
            57154, 48332, 91137, 6835, 75796, 35108, 6766, 77643, 53150, 51838, 16252,
            40482, 24476, 43221, 10769, 79816, 38930, 6912, 27194, 50728, 55527, 98368,
            94958, 63637, 74303, 28967, 4007, 85354, 95661, 24830, 59169, 40060, 98616,
            44806, 95570, 33470, 25243, 65840, 98913, 64864, 70631, 68743, 59946, 84822,
            7404, 96735, 77430, 88546, 95779, 4362, 57741, 57074, 46371, 92137, 98701,
            67236, 48024, 35398, 29370, 13410, 92997, 11194, 17839, 44162, 8553, 90832,
            9452, 98491, 56712, 85957, 1077, 54424, 495, 71244, 57206, 50521, 75011, 62713,
            92036, 50538, 23946, 49978, 88413, 96290, 13430, 49442, 70781, 29095, 80961,
            56846, 58734, 63681, 65742, 11581, 91107, 75221, 72173, 51308, 11806, 94191,
            31424, 80573, 50309, 13569, 85763, 10038, 98029, 55414, 74644, 89316, 9599,
            57883, 80762, 24411, 8568, 72251, 74134, 93791, 25761, 44540, 16063, 94989,
            76761, 74931, 29705, 80899, 87529, 49580, 80285, 35973, 69326, 46680, 36486,
            3413, 61807, 93051, 5037, 10867, 92514, 5181, 48878, 71452, 55904, 704, 10268,
            71612, 76504, 33327, 27987, 32502, 26843, 69961, 9330, 4421, 387, 33681, 83687,
            25922, 33580, 63312, 78219, 35563, 79793, 47225, 40617, 30729, 87856, 92374,
            98574, 93436, 64991, 36555, 32156, 68620, 38260, 89292, 24882, 67845, 48631,
            55032, 95300, 86942, 42733, 94089, 15572, 15973, 39069, 26896, 58610, 79454,
            20269, 15853, 96311, 1312, 5504, 70768, 2743, 44424, 85637, 31277, 54242, 59351,
            42156, 8235, 87044, 40712, 29108, 60754, 27182, 26893, 36284, 70101, 57660,
            85275, 55670, 99966, 94278, 73797, 61479, 22534, 81222, 24795, 4870, 66210,
            54810, 79960, 89452, 16834, 27749, 30000, 14142, 62627, 50037, 9255, 51122,
            18221, 57378, 81786, 72399, 16091, 68802, 10036, 92968, 66345, 37508, 95403,
            55597, 88790, 29325, 22910, 81808, 52501, 64137, 3663, 83207, 76588, 28916,
            24000, 85798, 56195, 17107, 28363, 79755, 80587, 76949, 30817, 93522, 53392,
            49335, 15740, 59442, 17481, 84211, 54106, 58522, 81118, 67421, 29165, 87120,
            3955, 99313, 18118, 8379, 73191, 45549, 59904, 1293, 20726, 48035, 88399, 33329,
            83326, 36595, 67807, 15252, 47589, 26466, 66484, 37726, 13650, 7569, 86000,
            12258, 35835, 73557, 96062, 50249, 31669, 68015, 44761, 1655, 58185, 95634,
            82831, 61138, 76035, 141, 47256, 5551, 48724, 3792, 11340, 73928, 18993, 55918,
            95864, 34932, 1827, 42050, 12396, 91163, 33764, 374, 28171, 12342, 43260, 74831,
            774, 64989, 22575, 85888, 89538, 37575, 88678, 87475, 32952, 7683, 65460, 2061,
            66786, 33544, 67430, 11406, 12639, 98364, 20375, 51167, 84192, 92455, 4521,
            5452, 84193, 92171, 60962, 2367, 31166, 78882, 27398, 80120, 31484, 94523,
            81846, 79975, 69159, 64203, 67557, 78037, 76539, 95209, 50546, 92742, 96054,
            56967, 93394, 35150, 28866, 43819, 82361, 59201, 5155, 68976, 28085, 66561,
            39365, 73715, 94895, 34928, 66031, 2251, 47202, 32804, 61310, 76079, 60332,
            37619, 33747, 55435, 60513, 68105, 5684, 51092, 6450, 82242, 92099, 54622,
            90855, 23028, 97979, 42070, 12721, 52466, 52507, 97386, 3825, 26164, 93011,
            60028, 81986, 44667, 62359, 99438, 29780, 61389, 86085, 912, 87066, 21761,
            73931, 99363, 11081, 10041, 61784, 87244, 12697, 40870, 83945, 92777, 22070,
            32383, 11518, 80657, 73002, 47340, 3368, 26998, 95510, 81079, 92243, 27704,
            11739, 18801, 23037, 94029, 97274, 27087, 35019, 32358, 86585, 83284, 71879,
            56330, 17180, 93666, 97645, 53550, 70573, 47875, 8331, 16689, 76609, 4811,
            87113, 11645, 57794, 83796, 67387, 19496, 98469, 8198, 13121, 85835, 11998,
            62008, 22675, 19766, 49755, 99488, 61575, 75091, 33106, 65374, 51553, 65621,
            43383, 37808, 75718, 57885, 81059, 29491, 45110, 12644, 85988, 16701, 78505,
            3632, 96881, 49697, 75269, 35877, 3228, 92956, 99651, 62121, 24817, 97515,
            17393, 63727, 79797, 30249, 41568, 59205, 10105, 5904, 31857, 36852, 61992,
            19859, 84069, 92973, 75259, 29351, 88235, 79414, 34935, 46222, 71450, 62346,
            77784, 32090, 53288, 10475, 97784, 57812, 49009, 83806, 59086, 26780, 88257,
            38288, 76340, 87794, 16328, 25461, 78499, 65650, 13445, 16275, 81507, 8239,
            96878, 82927, 65127, 50301, 76148, 14491, 36248, 20949, 55076, 73395, 29657,
            35175, 68747, 83250, 39553, 20888, 84383, 96981, 34136, 76302, 15509, 23773,
            33440, 88410, 231, 42011, 33038, 6375, 54491, 33330, 21154, 34225, 99968, 41977,
            32631, 5974, 27399, 21528, 13375, 37497, 88221, 53203, 97837, 90690, 13093,
            27710, 24635, 76195, 48303, 1132, 25721, 25503, 32357, 32658, 3463, 45787,
            94685, 86287, 20742, 17978, 76546, 74148, 72393, 73716, 9, 826, 34064, 45584,
            79313, 76739, 18961, 65853, 52242, 73998, 71494, 41110, 19848, 38998, 77393,
            74650, 65831, 70226, 17765, 51326, 97674, 87757, 64157, 32394, 83694, 70979,
            72651, 51970, 78769, 51870, 93786, 83177, 67753, 9851, 86873, 63273, 2290,
            71794, 35251, 47838, 99236, 19636, 73709, 43299, 98482, 83022, 84317, 4816,
            56343, 21372, 11749, 65186, 29861, 22777, 17777, 26337, 73082, 54449, 27888,
            73203, 85522, 81567, 99089, 41264, 94630, 3420, 52823, 18544, 60216, 88383,
            62035, 48042, 79776, 99227, 61318, 11884, 26584, 66413, 74475, 27061, 24247,
            39523, 65604, 16859, 72484, 9769, 16486, 70247, 49372, 91363, 52677, 58653,
            68792, 21657, 56125, 65044, 61443, 25004, 30014, 90290, 21229, 90768, 81691,
            24949, 4969, 62758, 4021, 74801, 88384, 37463, 61852, 49961, 54640, 41248,
            78143, 84649, 56016, 82930, 56880, 1957, 9610, 9948, 50489, 6302, 34728, 27840,
            77509, 15215, 12665, 76163, 14473, 62592, 28426, 27520, 24651, 19888, 38310,
            66206, 62517, 88957, 24761, 66881, 78166, 42202, 45701, 40575, 7187, 17666,
            59571, 36775, 70250, 52745, 40867, 93447, 10137, 64618, 18676, 98673, 35164,
            99802, 43883, 69824, 11926, 53391, 33591, 88775, 77068, 53918, 41787, 46625,
            76691, 31847, 11658, 95172, 7022, 78363, 13914, 5461, 63288, 95467, 72790,
            54577, 84439, 3752, 5066, 24509, 28593, 41904, 32524, 70728, 27719, 66592,
            29632, 32942, 47901, 10064, 1860, 35701, 50957, 98813, 11721, 15007, 8857, 8906,
            46354, 94019, 98304, 68516, 67665, 70713, 61791, 23248, 97036, 62514, 78233,
            87301, 46149, 71060, 53174, 65222, 88534, 76933, 81811, 2890, 33219, 25375,
            12854, 87497, 33030, 51848, 80228, 22593, 4552, 4566, 34327, 61174, 50603,
            87180, 53199, 1304, 93846, 75983, 37822, 49877, 51587, 37232, 98061, 84876,
            68797, 30995, 45050, 10370, 75461, 22272, 35455, 91307, 18237, 2434, 57137,
            73308, 84456, 47209, 15040, 59911, 81414, 58427, 53839, 12044, 42027, 33700,
            95681, 77241, 71189, 39189, 38845, 81755, 94709, 80926, 25010, 23240, 7609,
            40097, 35120, 58631, 76469, 71901, 66817, 6028, 12922, 54882, 94156, 25042,
            72798, 96798, 64486, 13918, 52737, 32915, 66914, 60923, 8162, 85468, 5941, 5486,
            36357, 31579, 31227, 51302, 98409, 2268, 57096, 42843, 85304, 23624, 31423,
            32293, 6108, 7964, 48484, 71725, 49496, 47129, 55497, 8226, 19247, 71571, 58818,
            66134, 35459, 75676, 70430, 13037, 72538, 72436, 19930, 57993, 9356, 20574,
            48050, 61866, 53251, 78915, 61452, 30699, 82418, 69398, 41304, 44242, 93538,
            53625, 2184, 39842, 96958, 94268, 21832, 58039, 37239, 27734, 69947, 98439,
            64184, 22399, 39606, 27236, 29698, 47297, 6793, 83142, 49993, 57530, 18243,
            97693, 38590, 54054, 45238, 43042, 97168, 36668, 11003, 95837, 9363, 9925, 9277,
            409, 71781, 67764, 27555, 505, 68350, 70014, 10949, 9140, 65473, 51475, 80993,
            15250, 47061, 22554, 11051, 28959, 20896, 69478, 82134, 36715, 78208, 88170,
            84421, 38221, 25047, 31145, 85914, 45670, 63925, 42694, 64242, 8049, 88698,
            45700, 12007, 98563, 9620, 17165, 81867, 6588, 78801, 121, 1299, 48513, 52107,
            15909, 57805, 92446, 80188, 57788, 89871, 43685, 46885, 8940, 35659, 84629,
            62190, 57578, 45000, 5045, 15059, 64905, 24088, 54299, 13847, 7567, 95653,
            93354, 17395, 55281, 44413, 89978, 50113, 94604, 38969, 39263, 18199, 60510,
            73168, 86450, 50215, 52584, 21206, 40627, 26815, 27462, 55394, 1307, 42194,
            23182, 53316, 90323, 84927, 94552, 19866, 66543, 60273, 30153, 81089, 79674,
            1599, 86399, 80504, 78057, 8313, 93789, 89639, 80736, 62114, 1992, 71835, 81337,
            36604, 85812, 8824, 43309, 53886, 49274, 19920, 26643, 67987, 3155, 53801,
            95401, 63846, 90810, 48266, 44276, 9581, 43729, 91226, 3612, 84098, 1509, 52229,
            51473, 30947, 78276, 23693, 49027, 90799, 23264, 20405, 77838, 98022, 21330,
            11458, 8679, 10411, 625, 73483, 3138, 55070, 59300, 57575, 43290, 34940, 57903,
            80584, 44722, 92042, 37944, 1349, 90499, 14135, 97819, 41810, 122, 98391, 44997,
            93535, 33627, 20736, 69532, 5304, 6196, 40350, 20301, 47533, 20011, 38262, 9563,
            76914, 67130, 33310, 38923, 54854, 2573, 54412, 27533, 65748, 40980, 14991,
            80738, 53793, 78018, 99237, 12319, 82694, 78315, 46426, 61053, 71356, 54786,
            79880, 30855, 82406, 87474, 1387, 34084, 10904, 65553, 29336, 85071, 81831,
            13921, 38446, 65373, 33118, 48760, 15189, 71975, 92191, 82828, 54813, 47612,
            73402, 96965, 86812, 58921, 12354, 77496, 45996, 75373, 22674, 62518, 107,
            35495, 29946, 11434, 18444, 59782, 65619, 87418, 19999, 77462, 79854, 81933,
            43408, 47781, 86932, 28091, 8259, 19190, 76457, 36075, 67431, 39121, 26683,
            99970, 5572, 59778, 76376, 42790, 79448, 94811, 5702, 61078, 29674, 21981,
            70878, 32800, 64142, 49338, 31188, 81803, 68056, 87725, 8670, 91440, 75976,
            49432, 27312, 43542, 7060, 83589, 88817, 80471, 81190, 26446, 89367, 91241,
            78885, 11427, 92, 94858, 48871, 75175, 96627, 18162, 72210, 22769, 24043, 30663,
            22506, 26034, 43847, 35604, 21765, 98608, 85097, 72573, 42005, 15061, 81844,
            66244, 10217, 18983, 6612, 16902, 38467, 68826, 81495, 79556, 91690, 97368,
            52573, 67457, 14220, 33922, 58388, 28143, 38617, 60836, 90869, 18076, 77819,
            60079, 94813, 11128, 68703, 43273, 74178, 21460, 88796, 31813, 74978, 44824,
            61810, 93339, 54538, 36249, 13868, 49682, 69775, 95434, 42087, 41419, 47045,
            60463, 21220, 62375, 97046, 90128, 85295, 72980, 11691, 52919, 51442, 96176,
            40033, 84683, 84780, 97909, 83200, 28291, 96041, 31801, 94889, 14315, 55901,
            23137, 39588, 47670, 39457, 19709, 7118, 58399, 50936, 37756, 23291, 15518,
            90806, 1111, 11368, 29435, 31224, 76331, 48072, 48976, 43398, 36661, 6734,
            79487, 61696, 76562, 99357, 87303, 78545, 86785, 73585, 60073, 60982, 59504,
            62797, 63737, 90894, 26863, 97532, 95800, 76036, 88795, 54073, 42699, 61999,
            94941, 33537, 41681, 49988, 24479, 48133, 17664, 57591, 64350, 86120, 83965,
            56226, 81253, 35921, 94935, 8674, 41493, 94317, 43690, 36633, 28732, 74920,
            7329, 74492, 54720, 60258, 12162, 65486, 92617, 56878, 11925, 91238, 273, 61838,
            4839, 56289, 8767, 55873, 82783, 27348, 32007, 29928, 97715, 96023, 71708, 918,
            59231, 8061, 55274, 89653, 58277, 66934, 75182, 16141, 70170, 30518, 96786,
            54528, 61950, 25743, 23743, 49861, 92575, 41406, 11969, 5147, 41341, 8085,
            66838, 16958, 24335, 93471, 55183, 65821, 58259, 99763, 20098, 96319, 61617,
            37253, 19726, 91590, 70741, 3168, 87265, 9471, 491, 76895, 47876, 86847, 84700,
            85227, 12024, 41596, 77409, 74216, 43465, 36650, 71289, 68697, 78762, 7344,
            22073, 41189, 45367, 71017, 7186, 45499, 28107, 37968, 18476, 34148, 96242,
            36487, 85094, 35956, 84799, 48949, 52245, 77284, 3210, 85211, 3990, 33252,
            27821, 32957, 42337, 79908, 57872, 62087, 53642, 27903, 34809, 55331, 19445,
            51955, 89969, 15949, 64692, 92309, 58955, 16568, 50564, 89246, 30414, 47431,
            45571, 28466, 35737, 28657, 52695, 42999, 17646, 22425, 10832, 261, 99669,
            52184, 26725, 63003, 48172, 64036, 59219, 91632, 80594, 84077, 48118, 6328,
            60808, 87571, 97334, 81536, 64394, 97929, 78284, 97392, 38961, 22165, 53163,
            88815, 72384, 70201, 26542, 86850, 25576, 72227, 43385, 44064, 97385, 83133,
            13656, 1740, 17768, 49500, 46341, 98272, 89531, 40830, 14172, 56438, 59690,
            35567, 33924, 62269, 78342, 20402, 281, 59702, 81714, 25707, 86978, 53133,
            86628, 99194, 67834, 49996, 52839, 96188, 14302, 15588, 31014, 22665, 31071,
            61785, 72525, 41628, 82339, 1073, 40404, 25586, 2866, 8053, 26358, 207, 41616,
            81629, 24940, 32917, 79174, 12961, 81369, 76634, 30645, 82130, 80919, 77764,
            75751, 65411, 39897, 89477, 15485, 22398, 48315, 93181, 63719, 83159, 77339,
            13201, 31370, 1798, 3225, 19756, 68883, 9428, 36907, 91538, 62188, 85537, 71796,
            55658, 31010, 55779, 47914, 81898, 54766, 7444, 31191, 40654, 5231, 95739,
            97173, 56279, 74775, 18203, 22751, 10804, 91683, 57898, 44398, 19330, 21211,
            66293, 63443, 2244, 52091, 14542, 48581, 83483, 55995, 91886, 59500, 59486,
            41575, 84398, 12983, 57958, 70305, 49172, 33417, 39800, 9324, 25892, 12327,
            90411, 37022, 7534, 87057, 37158, 27351, 7304, 12278, 6201, 48827, 15824, 49936,
            90752, 66069, 59780, 66664, 60471, 14372, 94614, 57082, 75811, 82800, 51584,
            91938, 95923, 99602, 51009, 64240, 20929, 14000, 11213, 44842, 18586, 35440,
            74103, 58083, 13048, 3291, 80918, 40413, 3727, 7065, 20037, 54356, 40098, 28093,
            67062, 41673, 31828, 90256, 43279, 80472, 65144, 71117, 46934, 38638, 80165,
            50725, 38134, 21687, 55809, 84143, 2132, 68648, 87872, 69033, 14458, 4479,
            40840, 81250, 19424, 485, 9057, 17364, 75029, 41844, 19199, 35172, 58098, 16719,
            45588, 53943, 80690, 61833, 66927, 30963, 14066, 15996, 35914, 60742, 42055,
            89818, 76869, 98441, 96221, 22011, 85289, 30561, 45086, 59199, 62973, 4133,
            71246, 63992, 73537, 10541, 274, 25135, 36522, 73547, 61371, 3200, 78739, 53879,
            91366, 72537, 53681, 46471, 78204, 10311, 89383, 45829, 63393, 526, 4733, 64551,
            80215, 29535, 50267, 98670, 72592, 843, 80986, 34995, 14194, 10394, 50550,
            46103, 98211, 43400, 83817, 99523, 45526, 49220, 83847, 8669, 22856, 54890,
            48651, 64648, 8098, 1056, 4306, 34456, 65813, 33445, 85210, 74181, 69842, 6307,
            68794, 96739, 63370, 94547, 22922, 46505, 73266, 39832, 98683, 8482, 28231,
            3575, 84914, 84577, 95566, 86472, 40205, 58053, 73974, 82499, 69956, 60105,
            82762, 58948, 16631, 95002, 31912, 36978, 13307, 40053, 44535, 49663, 75821,
            52614, 82955, 55715, 15708, 7373, 17656, 18553, 25680, 22902, 69681, 17461,
            13581, 65636, 8537, 72354, 20143, 97921, 87129, 21412, 16067, 46532, 26575,
            92098, 84071, 99113, 36304, 79832, 55590, 73590, 52512, 11763, 92897, 93683,
            3141, 72628, 63528, 91302, 29458, 45714, 76159, 85532, 51227, 1290, 85016,
            16836, 33141, 15120, 87058, 99372, 87919, 61837, 63195, 12200, 20181, 15712,
            43301, 45266, 8188, 85080, 35945, 90199, 22241, 7338, 60619, 80950, 30614,
            12259, 80750, 98203, 46139, 16746, 43249, 63918, 71077, 81598, 30267, 76982,
            99040, 66801, 84228, 38058, 87683, 15386, 65376, 11672, 13642, 14487, 2625,
            87999, 74705, 67478, 8090, 79059, 76980, 64603, 68539, 71468, 48219, 66943,
            25870, 93606, 26728, 95958, 16705, 21568, 12380, 83718, 28776, 21059, 47946,
            61757, 77442, 68603, 14405, 77667, 58338, 37000, 79109, 59292, 37171, 62012,
            38580, 92378, 49030, 40662, 4663, 99562, 75530, 55019, 2967, 97824, 73701,
            65226, 51615, 5864, 68276, 91913, 26395, 86933, 61709, 56957, 24373, 89744,
            11992, 84380, 94585, 13641, 69290, 45237, 97088, 49867, 56017, 36542, 89176,
            8114, 16736, 10978, 35341, 28653, 16350, 59859, 29248, 49475, 50472, 60813,
            61211, 72872, 4041, 26886, 71205, 8056, 72301, 97467, 34104, 30651, 6508, 92211,
            51695, 36333, 49345, 39750, 3851, 9696, 52639, 87854, 27060, 20901, 21636,
            51068, 42706, 12556, 98485, 61454, 13769, 84973, 36823, 76792, 82692, 40397,
            37400, 28208, 9957, 75918, 28650, 1412, 9628, 78413, 6732, 65066, 83692, 50838,
            98285, 53112, 29043, 33226, 10852, 43974, 32435, 23426, 67181, 52066, 42500,
            95026, 45646, 59475, 83213, 17044, 13599, 72401, 30916, 72344, 67833, 42195,
            66907, 67507, 13825, 16329, 29889, 22223, 61506, 52334, 73851, 58460, 93474,
            84656, 16517, 76580, 22180, 67201, 72698, 92407, 84852, 41191, 84199, 80350,
            44915, 22116, 78406, 58352, 60971, 64285, 97022, 8432, 55229, 45396, 57404,
            25656, 50040, 62616, 87019, 99369, 48299, 88072, 76749, 37728, 36856, 80963,
            10662, 43536, 75067, 5811, 52934, 45819, 29326, 68353, 10477, 51679, 16644,
            82786, 52932, 3725, 89510, 50138, 34878, 68338, 3642, 25798, 44849, 10525, 7209,
            9022, 39051, 80671, 8351, 13699, 48343, 1458, 28486, 64404, 32194, 59941, 97734,
            9170, 1824, 62468, 20796, 76419, 51872, 82902, 20991, 85081, 59805, 40532, 1526,
            58468, 86386, 39566, 34185, 74051, 60816, 33412, 29526, 50613, 29770, 56243,
            43012, 9793, 70996, 89250, 77512, 9641, 56707, 45073, 98233, 29379, 87982, 1850,
            96268, 50390, 58085, 29943, 8224, 10463, 62119, 73644, 94008, 70607, 34998,
            46748, 82780, 75150, 65340, 11780, 77582, 55220, 90397, 81546, 15673, 82001,
            83426, 44493, 84243, 27633, 84555, 98646, 7379, 54600, 12211, 54948, 46046,
            32668, 63386, 55192, 31184, 32908, 92090, 84606, 92810, 174, 82811, 41845,
            84818, 83539, 80808, 59839, 95853, 50730, 5905, 44448, 90655, 92435, 57165,
            11564, 17176, 49202, 25072, 96127, 23131, 53898, 66351, 38890, 54287, 96276,
            14320, 49726, 72377, 56167, 65404, 95649, 37279, 73622, 37041, 37973, 43814,
            11465, 47634, 64020, 82829, 91403, 63310, 93644, 56907, 87038, 3807, 74318,
            61911, 83171, 92346, 22608, 30362, 17953, 333, 40136, 46491, 92164, 10833,
            99393, 14739, 1800, 90143, 86625, 13953, 87473, 60331, 33829, 9971, 8487, 43584,
            46475, 96444, 49510, 1939, 67014, 81767, 87039, 75767, 64487, 46376, 93231, 636,
            1168, 38496, 34483, 75945, 96091, 69277, 62796, 3304, 83968, 44087, 92305,
            82319, 93920, 24343, 96807, 94539, 97956, 62573, 42966, 45993, 5764, 84680,
            40009, 83594, 93788, 53784, 46925, 69631, 58819, 9758, 6915, 69808, 70952,
            57887, 2308, 11097, 60111, 36067, 56296, 41228, 61406, 40182, 15916, 34477,
            72213, 74160, 92132, 90647, 21935, 23330, 24590, 17823, 50530, 40805, 87298,
            4915, 92784, 69441, 10220, 67816, 39209, 75756, 44037, 98618, 18130, 59929,
            82529, 69957, 25671, 49176, 46273, 17179, 4412, 87252, 75520, 6523, 3158, 24349,
            95838, 10780, 94926, 98797, 39336, 17157, 35673, 68396, 93894, 60442, 38773,
            20946, 70803, 89544, 22124, 52021, 89415, 74396, 25815, 32831, 43632, 44747,
            83579, 8724, 96519, 48140, 60856, 59051, 74889, 70035, 91960, 64260, 46755,
            23075, 15313, 47027, 80617, 29871, 25343, 77018, 1702, 84438, 95126, 18573,
            76266, 11557, 92154, 50100, 6629, 58952, 78176, 53579, 82371, 49503, 35213,
            39061, 8031, 81209, 11945, 36688, 96728, 48416, 37271, 27232, 58145, 4655,
            28663, 32737, 448, 23275, 12480, 78894, 74564, 92825, 19901, 44520, 57348,
            69655, 28962, 13904, 92851, 14345, 26055, 84423, 58, 64556, 81390, 85436, 67740,
            11510, 73779, 59526, 15280, 50681, 19996, 2435, 98465, 26081, 37229, 88832,
            85985, 71359, 25151, 21264, 91617, 64124, 21534, 95643, 2492, 45338, 12825,
            21591, 25214, 69261, 28885, 50266, 24111, 7953, 25299, 23361, 31473, 55051,
            81111, 16700, 3403, 92754, 41634, 47745, 38713, 25269, 41476, 78146, 7350,
            81379, 99014, 10018, 55272, 99964, 22354, 51397, 49075, 67574, 16982, 74652,
            86086, 97818, 17185, 55418, 37709, 35572, 72951, 13737, 77915, 77829, 14227,
            45052, 47783, 55517, 32184, 30805, 84892, 14637, 20715, 69480, 97900, 9378,
            70594, 27501, 50005, 13954, 89701, 87821, 8003, 36734, 80357, 70786, 59189,
            32788, 34233, 60188, 96686, 59123, 75643, 13786, 57978, 3004, 88660, 73037,
            42707, 29882, 20492, 92718, 71746, 87890, 3749, 44217, 6178, 47621, 82581,
            45389, 62669, 14580, 70456, 32302, 26889, 72520, 61962, 95509, 51017, 73658,
            40487, 34083, 73809, 56493, 52040, 27910, 53594, 18537, 47503, 25093, 33159,
            57976, 6845, 89425, 96229, 71759, 61892, 48357, 14691, 11262, 72363, 14713,
            34054, 10011, 17495, 95750, 94036, 53680, 46125, 30611, 78031, 75390, 82181,
            9029, 68074, 49440, 10947, 89609, 70493, 48623, 80689, 97488, 64114, 25086,
            62229, 10809, 98443, 57270, 96701, 63230, 17939, 71094, 9682, 94521, 12946,
            82657, 10556, 35826, 5442, 7245, 91322, 4120, 53287, 18752, 30402, 60380, 9067,
            77884, 21749, 61281, 29917, 64053, 63134, 26343, 3493, 82323, 88321, 33477,
            71214, 5823, 96459, 13173, 9221, 88174, 83966, 38420, 6648, 5828, 168, 30620,
            27565, 85655, 74755, 51091, 82209, 86380, 99216, 97039, 18960, 54671, 88834,
            25993, 95056, 20439, 34567, 39418, 53227, 2746, 73449, 86329, 5622, 64081,
            99614, 89375, 20441, 62261, 30937, 53710, 31718, 44530, 14858, 67486, 2996,
            85726, 83848, 47762, 61083, 95013, 19289, 31402, 10863, 75853, 36135, 72076,
            76518, 72025, 89436, 51206, 87505, 2428, 1742, 31353, 17280, 52813, 60756,
            58787, 86593, 7772, 96603, 82521, 74052, 77684, 23692, 35925, 61634, 15074,
            14037, 36156, 15255, 24109, 47002, 57119, 34754, 77881, 18747, 75494, 2707,
            56203, 38694, 95732, 76686, 35689, 18945, 64540, 70953, 50191, 15983, 35145,
            52729, 99684, 53755, 71487, 18508, 90718, 69762, 60912, 31137, 7970, 11425,
            95237, 47163, 17855, 3280, 30259, 44963, 35902, 561, 29050, 48992, 4820, 95492,
            67177, 48748, 46346, 20845, 33723, 2648, 87864, 27847, 36453, 63757, 60726,
            75458, 66667, 57312, 23215, 30052, 24183, 3904, 62074, 82738, 72869, 6823,
            53474, 58447, 57704, 65641, 42410, 20160, 19795, 61449, 16669, 26641, 43023,
            87930, 79846, 53781, 75735, 38452, 44780, 27383, 88031, 84890, 48861, 63964,
            42181, 94746, 58809, 23372, 19764, 61463, 93307, 27190, 4694, 52632, 47017,
            60094, 63573, 15455, 66497, 4585, 47054, 6453, 37790, 73048, 55943, 61628,
            73985, 62598, 95703, 29166, 41233, 32663, 14555, 12265, 2894, 7188, 78761,
            15224, 82059, 24396, 94195, 75868, 12595, 52658, 56145, 19503, 76840, 24300,
            93780, 49696, 76352, 97237, 90659, 37800, 88119, 23306, 39558, 75136, 26073,
            67423, 24483, 40147, 23853, 26709, 6984, 50111, 38294, 58803, 95391, 69766,
            57930, 62688, 41767, 31716, 41739, 63256, 15119, 14697, 95542, 2024, 79921,
            14689, 66153, 91355, 16236, 43247, 62101, 94248, 47345, 54502, 5347, 92357,
            79799, 79884, 21775, 69472, 93813, 78983, 95986, 37260, 77074, 83613, 43318,
            46304, 73267, 26923, 42404, 35559, 42656, 18718, 36132, 34767, 3319, 78668,
            14083, 94171, 26795, 31753, 25074, 16357, 79498, 5213, 42457, 92766, 31477,
            85932, 21378, 4876, 97791, 89474, 11962, 91284, 94670, 70324, 93896, 28985,
            54084, 4792, 18981, 72454, 74043, 48446, 55166, 53014, 51062, 54951, 52414,
            30922, 59878, 99441, 73322, 13023, 61021, 29653, 93178, 27218, 48803, 42974,
            26074, 65884, 45235, 91943, 25190, 35121, 11379, 38980, 63016, 59753, 18957,
            95910, 12234, 99749, 19026, 12583, 45015, 46643, 14278, 27649, 87158, 93331,
            36296, 52241, 61470, 59639, 83541, 73900, 63450, 90978, 68217, 48588, 62325,
            19266, 52836, 74679, 70854, 33975, 52280, 50204, 11279, 20675, 69715, 95275,
            8548, 27346, 64217, 13987, 65926, 75872, 27566, 59903, 69945, 39590, 38541,
            88983, 57729, 44112, 31943, 23344, 56163, 24656, 23714, 55312, 67830, 74908,
            29646, 52625, 5956, 55721, 57962, 77259, 72328, 2832, 88985, 8276, 52590, 36081,
            76124, 3303, 10968, 42307, 30865, 71689, 28838, 41475, 34539, 95396, 20396,
            53836, 87677, 16159, 65852, 61731, 43503, 53873, 25304, 87052, 51093, 54656,
            65953, 9792, 80300, 1657, 94093, 53188, 38906, 47576, 92605, 93534, 48614,
            11192, 35349, 44096, 44237, 34450, 48636, 3265, 71526, 51390, 41273, 59779,
            33996, 56764, 60870, 45496, 14422, 19612, 80862, 24465, 85585, 69171, 24067,
            5488, 57300, 8394, 44774, 62371, 20710, 46766, 28644, 14614, 59055, 15202,
            96055, 91635, 89019, 64386, 64784, 85268, 87969, 18003, 19367, 12260, 37692,
            16543, 7321, 32264, 64798, 98730, 97903, 47263, 15094, 4508, 5199, 16986, 78486,
            57092, 38101, 89665, 89444, 20990, 37499, 37196, 12572, 55352, 95760, 395,
            93549, 64017, 31903, 62032, 93691, 41877, 99199, 91703, 23173, 55357, 75840,
            52265, 38622, 35736, 80839, 17352, 99782, 18443, 59843, 81323, 52483, 1965,
            21524, 50791, 39350, 89759, 71722, 6673, 19823, 87172, 22232, 7963, 35628,
            74339, 38422, 47550, 27138, 39563, 6293, 31133, 81219, 51136, 34226, 24528,
            81977, 17371, 64959, 94104, 70706, 72501, 1810, 4633, 32441, 20885, 72926,
            77086, 12592, 43051, 29631, 50764, 64594, 27448, 63090, 91855, 63818, 15820,
            45992, 76147, 89393, 31818, 17508, 24981, 79293, 3214, 12677, 93265, 25061,
            86919, 15613, 94284, 65797, 60599, 35417, 30507, 39709, 31398, 58579, 85804,
            81362, 58142, 86652, 1239, 27110, 91276, 71522, 83801, 84236, 94048, 2827,
            81303, 1469, 35220, 71290, 62695, 31605, 63226, 13966, 63954, 60223, 91627,
            52849, 2760, 39243, 75167, 93306, 94119, 20683, 48771, 74358, 1938, 23106,
            64706, 1391, 69466, 85631, 29418, 68051, 25122, 10044, 7672, 56272, 21543,
            22974, 50460, 239, 62365, 99725, 10909, 29812, 89321, 48919, 85367, 73397,
            66572, 45125, 85309, 11752, 47022, 3721, 52832, 46808, 69087, 64894, 74810,
            29950, 80197, 71867, 22726, 26421, 56209, 89541, 79911, 85197, 12704, 36143,
            25753, 42215, 81452, 91542, 27353, 77418, 90352, 9209, 76097, 88781, 82883,
            76270, 32093, 72234, 82502, 34358, 55164, 32655, 64941, 89782, 93726, 64243,
            59546, 46495, 19393, 50106, 26707, 9194, 20035, 79227, 58711, 30374, 55948,
            47001, 83381, 76318, 96952, 321, 35179, 62905, 87532, 2371, 95181, 15660, 94203,
            22186, 63951, 75220, 29020, 31672, 39958, 22125, 10068, 60949, 75522, 39163,
            4477, 25172, 59885, 76135, 79038, 72957, 36591, 61494, 21843, 62733, 33984,
            11053, 21501, 22881, 74243, 51153, 86991, 5566, 26246, 80591, 70630, 13843,
            16523, 7875, 27726, 60043, 67653, 60911, 20154, 22787, 2672, 71594, 79349,
            45458, 87118, 61629, 6216, 93244, 9182, 24267, 34842, 94558, 88200, 6504, 13542,
            19055, 25540, 92807, 45137, 36505, 66259, 67710, 36634, 68415, 19854, 26600,
            12353, 3759, 21384, 38801, 25274, 34819, 86696, 10702, 4572, 91379, 69711,
            13996, 53320, 36023, 59723, 447, 45633, 19858, 51273, 4498, 89156, 88505, 6288,
            793, 4757, 44005, 14064, 72841, 5961, 77357, 96829, 46138, 40130, 91867, 70156,
            60294, 51024, 28160, 94468, 84980, 11440, 78790, 22203, 93629, 29431, 60428,
            98423, 67535, 35837, 83774, 99242, 14261, 78002, 67941, 4285, 15989, 76772,
            31935, 249, 79772, 79778, 81134, 81248, 76067, 34530, 22884, 42852, 36415,
            40986, 78325, 68508, 31057, 62515, 32203, 76572, 3276, 95593, 66101, 18262,
            24878, 45267, 53988, 5402, 84608, 61671, 13272, 27705, 70789, 39915, 26468,
            7552, 34007, 17562, 80633, 69198, 85575, 5824, 19425, 72874, 5365, 29622, 90276,
            48373, 29895, 31278, 2476, 99526, 31833, 41994, 26714, 97413, 93295, 49241,
            43416, 83622, 44375, 67678, 41522, 54962, 35723, 91219, 23821, 60543, 98606,
            76491, 89894, 37888, 58156, 62127, 68938, 72206, 48128, 80973, 59262, 30101,
            85063, 60556, 35191, 22348, 10084, 25906, 99606, 55978, 53205, 83725, 74317,
            93527, 46581, 59975, 51859, 10409, 40975, 77387, 13912, 60211, 34350, 73319,
            94227, 34428, 47768, 5342, 16409, 38192, 11800, 6124, 12867, 34224, 2995, 32765,
            71440, 7035, 57662, 57058, 80428, 35310, 49146, 36265, 67379, 41002, 17486,
            97987, 60004, 82490, 12432, 48477, 61259, 20620, 74242, 42574, 1639, 97658,
            17838, 28966, 13526, 23349, 41924, 42129, 90899, 85765, 87293, 62909, 59675,
            80325, 52457, 11891, 12831, 17452, 67708, 68178, 56180, 83540, 17041, 34997,
            72180, 58834, 69124, 7227, 2297, 5778, 72707, 32050, 17467, 12100, 94215, 48555,
            26272, 72204, 27724, 69271, 74271, 8203, 33825, 51006, 60950, 12726, 41708,
            69352, 72059, 60598, 62028, 1695, 71123, 70307, 36362, 60716, 80717, 40383,
            83166, 8500, 56534, 21662, 77554, 73740, 89625, 71970, 4847, 39233, 9699, 51540,
            17246, 56453, 85871, 31702, 19260, 52753, 52715, 41842, 49949, 5330, 91324,
            89379, 19379, 62466, 37399, 93725, 92262, 12522, 17512, 9656, 86914, 17580,
            86552, 31931, 67977, 34791, 29599, 68069, 71262, 9932, 97582, 93230, 8453,
            96262, 22142, 98839, 80957, 13212, 45805, 57815, 49395, 30925, 92586, 80359,
            45944, 1829, 73172, 45028, 45204, 18596, 72995, 21963, 86473, 15871, 85832,
            84862, 81123, 10997, 49249, 97832, 78060, 85331, 54742, 53367, 20017, 48882,
            66985, 53297, 34228, 98781, 50752, 13194, 3484, 30833, 54853, 60865, 75597,
            7766, 99426, 2627, 24257, 75849, 70664, 49681, 63302, 1142, 42870, 38653, 1873,
            45215, 14721, 74078, 37380, 2804, 50953, 86362, 12606, 96695, 237, 92771, 49828,
            35679, 84592, 89201, 26557, 27440, 50555, 57786, 39204, 6955, 39930, 29758,
            91013, 40156, 75645, 64188, 63801, 83175, 51964, 13934, 39162, 68418, 9445,
            68053, 78071, 60418, 17182, 35132, 97100, 29237, 87568, 81849, 39427, 39728,
            30897, 10386, 17753, 69852, 8700, 61994, 29194, 83662, 58841, 61401, 44266,
            48601, 13818, 7198, 70650, 87822, 42768, 92508, 93248, 20201, 26899, 70596,
            86870, 61468, 88614, 12896, 35467, 79616, 87587, 79794, 48330, 64028, 18842,
            3274, 41303, 10266, 26865, 99479, 43086, 46432, 26521, 60371, 7185, 59907,
            10368, 83849, 64574, 16426, 33800, 52650, 53473, 33186, 12875, 21116, 61048,
            26703, 95437, 66851, 79017, 74407, 37718, 98054, 31955, 52487, 71763, 46217,
            21084, 19373, 22869, 58556, 31689, 6074, 30055, 84359, 26080, 98099, 57238,
            67892, 33037, 18918, 90608, 88425, 68859, 69793, 46128, 95110, 57379, 29534,
            46305, 63119, 13306, 46514, 33338, 98023, 13928, 139, 64910, 50870, 32408, 2347,
            44734, 46143, 66950, 7313, 42904, 75996, 7042, 96468, 42154, 98074, 18120,
            55967, 66876, 54260, 44544, 77195, 48356, 73174, 13817, 81237, 48955, 99146,
            47239, 74682, 28210, 28775, 90886, 31082, 98042, 97986, 25104, 5752, 22796,
            27867, 82107, 47487, 16089, 10554, 44766, 66012, 35285, 78989, 43761, 1600,
            34236, 85305, 96729, 65837, 47120, 60695, 82782, 99941, 85066, 67762, 63291,
            72448, 10656, 31073, 8236, 52830, 29641, 84542, 2417, 17403, 53099, 90678,
            46467, 89310, 33326, 1840, 42426, 44664, 47813, 68437, 45789, 85262, 88879,
            89152, 89386, 85873, 26278, 72660, 2616, 28799, 4046, 39806, 58867, 22141, 9518,
            81695, 55490, 38881, 63338, 95841, 39890, 85517, 16604, 66280, 91859, 26289,
            36722, 73324, 8377, 50558, 33743, 16653, 1950, 70998, 28095, 77069, 59726,
            29378, 92142, 52359, 3509, 96378, 78270, 43782, 54141, 15986, 47784, 77835,
            31412, 38179, 46136, 76629, 2025, 99354, 57391, 66862, 59551, 41856, 50923,
            18912, 74551, 4055, 67388, 75572, 24535, 30775, 89052, 85477, 2265, 29263,
            84428, 76039, 41130, 67545, 28761, 25659, 79081, 26802, 24378, 44751, 19131,
            50055, 78972, 27752, 37070, 37261, 57421, 82133, 62968, 49631, 63177, 20719,
            80589, 78549, 69952, 1368, 82903, 48902, 7476, 69914, 44044, 13511, 93544,
            33778, 13134, 32210, 5329, 49542, 5759, 15169, 52976, 65895, 49572, 86256,
            14247, 91205, 80062, 95884, 53883, 15468, 21125, 22161, 49609, 76239, 96383,
            87144, 70162, 75189, 32892, 815, 10961, 96784, 20452, 92520, 35726, 91687, 2105,
            17057, 37989, 49285, 81139, 33852, 47184, 77539, 10782, 27660, 11282, 10169,
            77190, 31908, 62218, 29223, 3353, 37143, 52230, 31420, 97760, 19608, 47558,
            23375, 38875, 76622, 81192, 80353, 64865, 33148, 42901, 63676, 2951, 71008,
            36912, 59879, 99403, 39105, 92601, 99583, 68115, 39809, 27579, 45899, 86400,
            17204, 38591, 75855, 70974, 13948, 15747, 43300, 95580, 7547, 48528, 26306,
            74980, 18318, 1288, 65610, 76875, 83742, 44771, 46394, 1583, 76953, 33849,
            46508, 84655, 64096, 75828, 52300, 36841, 72494, 41940, 5903, 81534, 54841,
            4748, 89800, 51806, 8464, 68664, 56733, 74038, 68910, 46032, 12315, 30932, 3908,
            62138, 6157, 11086, 65420, 3460, 3203, 81126, 19704, 94312, 16687, 63196, 47731,
            64095, 93685, 26648, 78236, 99587, 44858, 16575, 84659, 30248, 75558, 87321,
            83982, 21491, 81183, 90812, 61378, 15619, 85539, 74833, 7506, 88211, 35312,
            83120, 70048, 42564, 61759, 77364, 59585, 29765, 54731, 3933, 76803, 7141,
            24464, 37557, 12177, 65179, 69323, 5927, 99401, 17448, 41679, 14641, 47790,
            62877, 53317, 78845, 90470, 54062, 85944, 46721, 26275, 14854, 74325, 56039,
            78424, 83476, 28691, 58024, 37098, 69970, 62031, 8718, 49035, 36708, 29584,
            55909, 47145, 21097, 20020, 74861, 75089, 69650, 7624, 66198, 16723, 18117,
            99303, 7682, 6488, 62719, 18915, 90950, 10971, 96488, 21319, 69547, 30487,
            88566, 15985, 42045, 62216, 85060, 33828, 51770, 51670, 71823, 27514, 84087,
            40083, 44135, 90322, 96491, 2223, 56649, 25950, 95423, 3080, 8704, 20028, 60736,
            40955, 35868, 18536, 65343, 70392, 57400, 89363, 16423, 51800, 80374, 87021,
            37347, 7935, 35525, 67314, 68416, 12124, 78874, 15730, 77588, 37522, 63963,
            64296, 54560, 66607, 50259, 30936, 97915, 52875, 65131, 60881, 41490, 20725,
            11199, 79933, 42794, 10510, 35481, 14859, 53223, 12657, 58043, 23356, 69083,
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            71426, 36552, 60372, 51213, 8497, 52950, 5467, 79052, 91417, 30660, 15810,
            11790, 46330, 58001, 27692, 42633, 52673, 24921, 23316, 41622, 66009, 94127,
            72666, 25525, 43892, 72164, 49569, 70513, 4438, 72348, 18773, 97049, 74073,
            25541, 67225, 38370, 228, 77907, 39377, 5244, 69661, 44850, 82041, 50053, 24089,
            13731, 67964, 75752, 51402, 66319, 21077, 22824, 58853, 91563, 92676, 18149,
            82146, 28108, 14221, 75781, 49901, 20834, 38960, 39036, 66899, 83058, 84270,
            1602, 77739, 45955, 60594, 5886, 93232, 2153, 24252, 753, 5633, 96321, 61248,
            10755, 94187, 72508, 67080, 97208, 77374, 87810, 41684, 10980, 17430, 6355,
            89731, 95293, 99598, 29606, 85983, 7309, 81140, 64207, 86598, 51867, 58153,
            61809, 43654, 7764, 54350, 75111, 94260, 25913, 41999, 23098, 6451, 9737, 7755,
            78657, 88249, 33973, 46027, 49585, 1736, 8001, 6259, 68116, 66773, 94370, 23857,
            67640, 93914, 39691, 8950, 28468, 25903, 58937, 74809, 93042, 18205, 31575,
            5249, 55304, 17678, 50520, 11777, 55691, 4088, 15846, 88439, 31391, 35862,
            98367, 72712, 23683, 27998, 89763, 67581, 1205, 87290, 28223, 99258, 12284,
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            73392, 28647, 26371, 87870, 51377, 42523, 57832, 8074, 87849, 94715, 62071,
            65319, 80397, 40705, 30013, 49055, 97370, 38402, 27264, 78160, 62885, 30029,
            69191, 81792, 72821, 36086, 29307, 94608, 25486, 28656, 32479, 17207, 93135,
            45454, 3401, 1308, 13892, 59236, 35229, 86169, 79382, 99593, 21882, 59008,
            63662, 55380, 82596, 58296, 33311, 5807, 12832, 78426, 4843, 39772, 29360,
            22027, 27748, 46734, 85195, 99495, 32783, 8191, 28073, 93887, 47270, 69084,
            47057, 42955, 93022, 66849, 35338, 24357, 23263, 9671, 87218, 57140, 26834,
            83210, 13139, 51576, 16903, 14241, 1041, 93221, 74046, 98311, 63618, 85012,
            89954, 36822, 66472, 28807, 55887, 42009, 82603, 12747, 42686, 5813, 57886,
            88825, 93097, 70587, 98790, 13708, 69289, 77564, 57723, 34859, 97126, 18306,
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            56262, 28917, 22275, 21259, 25068, 96773, 81188, 62939, 18992, 45741, 75971,
            19755, 57203, 73385, 83918, 24863, 99930, 54610, 13655, 28169, 69690, 5799,
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            76524, 57105, 48420, 58960, 82620, 56927, 39607, 43040, 46462, 49449, 91348,
            51956, 41676, 31259, 61936, 39358, 36433, 8372, 67843, 38888, 66614, 8076,
            23097, 73230, 66102, 37597, 90874, 47315, 38536, 37970, 70108, 67901, 11328,
            24255, 35342, 84931, 47241, 38736, 21745, 80437, 26607, 27960, 15082, 49083,
            12792, 47803, 25542, 89802, 50549, 72549, 97696, 71943, 27276, 3379, 77639,
            56724, 61146, 22585, 9177, 50160, 51307, 85224, 92275, 89157, 54721, 71243,
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            66314, 72450, 69647, 47817, 33007, 54272, 71883, 51703, 85675, 37451, 94720,
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            24084, 91700, 24157, 10553, 43190, 41423, 74977, 61815, 21980, 20113, 22502,
            49014, 57992, 50183, 12934, 58405, 79805, 98216, 22574, 5712, 49493, 26723,
            78633, 92526, 45348, 31910, 29300, 76820, 2189, 66885, 30803, 18549, 31911,
            23689, 14537, 10960, 60595, 49637, 57117, 13887, 63351, 30856, 88076, 22766,
            82568, 18025, 80434, 6784, 76202, 37468, 77001, 19835, 76489, 12240, 88395,
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            56113, 73611, 60310, 41063, 49048, 24103, 19938, 6205, 50503, 65104, 26429,
            34285, 21194, 48727, 68878, 21274, 63501, 59280, 87097, 11546, 25600, 14376,
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            20569, 83435, 39726, 52739, 33452, 64328, 45908, 75477, 77939, 44339, 53365,
            65608, 49563, 11870, 77950, 75764, 8600, 54330, 53937, 91510, 11113, 8185,
            74772, 82396, 74357, 1523, 896, 74346, 54316, 16961, 19464, 43941, 251, 54789,
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            83161, 89684, 56392, 75912, 18426, 82225, 66016, 2869, 53521, 23785, 2670, 4153,
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            89610, 79855, 72904, 69076, 48296, 34781, 47185, 99739, 78266, 43507, 69340,
            86258, 11037, 57077, 69206, 7752, 225, 44105, 74785, 52646, 76422, 8212, 72111,
            95158, 73417, 27200, 46450, 42071, 535, 74968, 16737, 49634, 32461, 27294,
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            76210, 81699, 35928, 36975, 99410, 51995, 9021, 90047, 86334, 67234, 42369,
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            83113, 36864, 18947, 97698, 12852, 64038, 18280, 37447, 41163, 19500, 52537,
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            33083, 78324, 51765, 65521, 69486, 68343, 27140, 38796, 98039, 85419, 56132,
            2693, 71589, 4754, 14234, 71918, 80218, 48811, 85001, 12225, 92835, 19276,
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            94525, 15794, 42906, 39140, 10464, 76104, 67148, 41825, 25233, 48650, 85698,
            36960, 30778, 25572, 75283, 52712, 61525, 85088, 70599, 24066, 81675, 17616,
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            26095, 66375, 31435, 89334, 550, 43848, 61385, 69167, 30204, 97735, 74194,
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            41429, 58151, 55101, 69973, 34060, 50059, 90033, 62120, 98142, 69475, 14264,
            43661, 69051, 64814, 41632, 87353, 76285, 92585, 4237, 14588, 28321, 23272,
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            82523, 48876, 87074, 75894, 38443, 53557, 44430, 29365, 82109, 70865, 9981,
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            74482, 82813, 7523, 74950, 39795, 69920, 60934, 23820, 49522, 26460, 64008,
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            4565, 31765, 42508, 63704, 38699, 5871, 90935, 6042, 51743, 28943, 614, 15922,
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            49673, 90437, 16585, 16443, 63904, 18112, 331, 16121, 14840, 12408, 94421,
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            41357, 13345, 7997, 11455, 68534, 29100, 63228, 16340, 30004, 28716, 77601,
            55481, 18135, 83983, 11761, 12985, 15177, 92922, 39889, 59605, 54591, 85760,
            81091, 5632, 20976, 68712, 27723, 41620, 46829, 77273, 79034, 47112, 72408,
            80058, 10056, 32650, 28949, 9138, 9396, 32898, 85656, 24944, 59875, 2334, 35959,
            59000, 46234, 96157, 62196, 12059, 35095, 5534, 776, 16120, 35094, 84055, 20625,
            23741, 36024, 90503, 96137, 13359, 88653, 93409, 17829, 59924, 20079, 27621,
            44473, 32764, 52608, 7128, 56417, 66874, 43432, 52561, 1726, 58455, 51550, 7323,
            4313, 92030, 15997, 19590, 92688, 37131, 51934, 88111, 36767, 93554, 33765,
            86717, 8471, 35154, 96570, 43065, 77765, 77164, 80556, 17787, 78121, 19807,
            51335, 35852, 39662, 89552, 67435, 5314, 22355, 12790, 18227, 4063, 50762,
            82462, 31991, 93536, 51746, 26927, 91097, 12006, 81554, 64592, 54498, 50387,
            89983, 32122, 31197, 53660, 4696, 25960, 43829, 54252, 99825, 24815, 96186,
            33334, 66628, 38517, 44155, 69879, 65682, 63804, 96752, 5503, 23160, 34173,
            27638, 6950, 59378, 707, 20253, 24945, 76358, 64398, 45930, 12632, 42496, 73426,
            46499, 62159, 51097, 8512, 56919, 91262, 53593, 82592, 52305, 10917, 46645,
            47651, 95294, 70866, 62022, 51003, 11339, 67189, 24947, 8630, 82956, 69174,
            72822, 18087, 30946, 18038, 1764, 50612, 43059, 10598, 99074, 25351, 75492,
            12762, 572, 90493, 67946, 69990, 86889, 57445, 89777, 84981, 23537, 14317,
            94288, 57344, 26167, 34738, 98586, 64329, 77591, 51380, 98577, 45010, 66294,
            10763, 88243, 12387, 57183, 56715, 92207, 86581, 60316, 78720, 83842, 10689,
            97065, 76798, 28153, 69146, 47187, 60485, 56050, 60806, 36981, 91831, 29937,
            99567, 66921, 80864, 46460, 35569, 2441, 40134, 74784, 78361, 32614, 98951,
            18599, 6797, 73886, 62264, 6318, 66214, 59537, 29369, 2713, 90273, 41071, 32760,
            55288, 61607, 452, 84527, 84049, 42082, 98820, 16889, 59783, 26792, 29831,
            88320, 42269, 61302, 4737, 97970, 22033, 42673, 72201, 85313, 63336, 53175,
            67777, 18632, 79631, 95128, 96173, 90825, 34400, 97053, 84895, 72632, 92195,
            20200, 3184, 1935, 9630, 69343, 26132, 66771, 15565, 71073, 63671, 69627, 29178,
            91975, 88953, 12050, 85483, 66331, 57706, 73859, 95419, 22007, 12099, 17231,
            43283, 72692, 19184, 3785, 45109, 88995, 26201, 53627, 84613, 42098, 3943,
            87516, 9481, 29281, 25228, 41696, 89340, 98424, 75686, 65046, 17347, 41711,
            13011, 39848, 84773, 94118, 98477, 58018, 91443, 59375, 21728, 6726, 75705,
            90917, 41329, 23673, 94690, 22251, 60476, 66821, 63955, 75969, 44337, 44658,
            93586, 21868, 65690, 39713, 40389, 87804, 36321, 32483, 2226, 72030, 14789,
            63907, 78738, 89509, 43364, 65059, 52520, 64282, 76549, 94543, 39783, 51997,
            9020, 69863, 64135, 90219, 54942, 96350, 90638, 45172, 82050, 60436, 32634,
            72542, 99657, 18282, 89435, 89032, 32971, 76851, 23087, 96870, 65062, 17127,
            92839, 80544, 68312, 44920, 93835, 79929, 48927, 45063, 39985, 89486, 15895,
            60653, 66835, 28252, 89947, 21317, 15323, 70774, 71193, 73015, 40190, 13923,
            66883, 40150, 83902, 59739, 67483, 98942, 55796, 91597, 47232, 73921, 80280,
            12894, 24936, 94725, 61752, 83739, 57383, 51337, 48766, 91168, 83321, 5048,
            19318, 12881, 71297, 5034, 62870, 8778, 64914, 30601, 35319, 2281, 35044, 74578,
            1880, 5624, 70530, 2387, 82472, 87828, 36005, 2107, 23533, 72703, 63736, 72953,
            70480, 15121, 95855, 25630, 50815, 46785, 29870, 48590, 64461, 86665, 36693,
            91407, 81068, 33968, 12751, 45184, 75244, 52953, 32116, 44655, 19064, 28269,
            23469, 23337, 98483, 40729, 15876, 15375, 86359, 21803, 415, 68275, 78758,
            16180, 7908, 67174, 33576, 27919, 48472, 21343, 3272, 2526, 25522, 11508, 34655,
            15065, 48587, 69042, 19476, 41629, 61643, 14424, 80743, 97596, 50943, 78451,
            87825, 46973, 6521, 46137, 50947, 74940, 787, 54872, 36095, 2867, 42419, 92049,
            83084, 40539, 15269, 16202, 7296, 46072, 87188, 779, 78252, 50863, 77864, 41281,
            87209, 12943, 12536, 44416, 97638, 26995, 59144, 34783, 43294, 53190, 50609,
            16717, 53355, 30955, 70809, 6820, 68716, 76441, 22118, 2472, 79993, 22198,
            43257, 64424, 59218, 88637, 21342, 39902, 88525, 55865, 1366, 54818, 51798,
            39714, 3693, 92570, 41910, 9996, 59457, 18953, 45369, 70339, 76333, 66236,
            96306, 80533, 27620, 85447, 66681, 25643, 7299, 28136, 88205, 33603, 89228,
            88490, 16224, 26440, 88092, 45019, 71463, 93120, 81725, 7341, 20202, 29855,
            80645, 28527, 33645, 89155, 53460, 26604, 43622, 830, 10606, 98791, 1061, 907,
            8430, 30527, 28654, 94649, 14530, 34506, 28587, 69455, 38082, 9246, 13666,
            89971, 79902, 98076, 54270, 42074, 20495, 90287, 82536, 90338, 34652, 10901,
            26199, 60401, 50889, 27485, 81620, 63908, 33043, 31904, 22987, 24789, 96963,
            24149, 17637, 79362, 10604, 92084, 31987, 34777, 47646, 62711, 56234, 26004,
            38953, 32064, 95355, 50999, 42856, 9906, 64220, 62628, 84725, 20042, 91968,
            47581, 55573, 16808, 26988, 71157, 19873, 37184, 9178, 26910, 92363, 9612,
            86855, 85996, 63324, 23727, 10654, 80054, 77794, 31413, 42192, 8869, 77824,
            76724, 76360, 62972, 78551, 22395, 90908, 53059, 69714, 53492, 76733, 66023,
            8261, 19676, 12344, 55601, 98692, 96975, 55234, 89107, 37010, 29184, 44581,
            52001, 44311, 65618, 70254, 57862, 34570, 14038, 63261, 41218, 67360, 55792,
            14032, 67166, 80340, 60018, 60284, 56408, 13085, 85639, 22854, 3731, 58031,
            43298, 95825, 73330, 94463, 58298, 5460, 71021, 3911, 17980, 22024, 48077, 5694,
            30254, 26684, 4553, 46277, 74019, 85795, 1346, 91917, 57236, 86003, 82284,
            56059, 2012, 32250, 6281, 96977, 90925, 94930, 30164, 37432, 64048, 16617,
            67749, 37761, 54884, 94092, 65008, 98985, 7961, 13434, 54835, 70544, 69020,
            5996, 55908, 63248, 54682, 60902, 22847, 30951, 95360, 56425, 52240, 30765,
            18838, 45308, 46189, 33805, 45658, 51297, 28815, 67217, 66479, 52506, 4144,
            58607, 75504, 45783, 11673, 66411, 10112, 10707, 57051, 92535, 86328, 17020,
            43715, 59849, 58476, 99943, 47464, 47, 92201, 78977, 5585, 46599, 14520, 77124,
            5166, 93703, 23817, 50455, 8826, 46904, 67468, 3726, 29700, 44888, 53451, 11385,
            14996, 67530, 24305, 68324, 73252, 89984, 43292, 25634, 25449, 43612, 60873,
            28289, 83192, 68520, 53324, 50726, 42183, 54669, 89628, 37516, 78378, 48806,
            51499, 48855, 66588, 68946, 4068, 47342, 90281, 30762, 51987, 22732, 51401,
            86507, 6408, 78892, 65499, 24982, 5277, 88419, 46767, 23981, 61528, 13823,
            80337, 93850, 62566, 94713, 76365, 24278, 42749, 43077, 91096, 47039, 94174,
            93256, 91650, 86988, 2904, 49982, 18942, 14680, 1634, 56297, 48339, 55540,
            52834, 35041, 129, 87493, 19698, 73889, 62946, 45059, 88852, 40431, 81497,
            73837, 61241, 70567, 93946, 51119, 65860, 2494, 40772, 90448, 61245, 41647,
            79763, 76313, 24952, 51705, 21663, 35402, 58547, 8773, 69429, 45946, 48707,
            4036, 56806, 16861, 40992, 60346, 20429, 1470, 22749, 40402, 65331, 89507,
            96889, 88431, 31445, 88737, 6597, 24766, 39730, 8507, 36657, 67407, 52866,
            98987, 13590, 21492, 28668, 94465, 42916, 83753, 2611, 93470, 31890, 22405,
            83498, 15122, 81026, 51781, 69832, 97002, 77426, 94384, 51253, 18689, 82687,
            28106, 25152, 65891, 88491, 88316, 44773, 97654, 20418, 45347, 81609, 82600,
            35205, 53750, 21082, 72911, 66864, 23193, 56198, 40899, 92246, 2892, 82582,
            13463, 98255, 29762, 60276, 17993, 21744, 82860, 70103, 76245, 7212, 30094,
            89012, 14546, 15289, 24171, 25678, 75638, 38871, 84226, 30636, 38090, 61879,
            68287, 20221, 72968, 92640, 9203, 43025, 48510, 23079, 58450, 26355, 33005,
            83509, 44041, 41974, 88794, 44595, 33246, 2772, 78370, 54099, 2433, 91955,
            49702, 68423, 39998, 97256, 68399, 66369, 945, 37843, 68679, 60775, 56019,
            76176, 57218, 870, 32843, 99460, 74286, 19870, 89640, 39921, 83919, 86478, 8176,
            88145, 78043, 76770, 61715, 69334, 65169, 74891, 26948, 51775, 83800, 83332,
            49576, 84041, 89658, 51739, 43717, 90487, 5603, 80333, 88519, 99872, 59423,
            22498, 66729, 68877, 7940, 90131, 13722, 72221, 6204, 19637, 81077, 16424,
            35908, 25048, 47629, 30056, 76872, 9389, 5245, 19735, 6873, 53834, 25455, 71082,
            18923, 21898, 99944, 77391, 11139, 72085, 86447, 15038, 50680, 48854, 12678,
            64745, 60159, 95839, 73338, 55666, 54121, 98251, 9298, 28019, 3569, 12645,
            48909, 27561, 16660, 6851, 34183, 8977, 7089, 22770, 90957, 28092, 14880, 22816,
            77577, 49703, 14779, 59141, 40524, 32884, 37832, 18274, 56363, 78167, 7826,
            35114, 29001, 58063, 39039, 5156, 23670, 81159, 87455, 81224, 20482, 57890,
            39946, 27222, 20541, 26999, 49073, 31299, 86509, 68354, 95210, 79999, 38170,
            22947, 58208, 51103, 43793, 84836, 71533, 58848, 13663, 4766, 7727, 16844,
            94059, 76024, 10534, 47343, 27342, 93804, 66816, 24558, 70504, 24445, 89849,
            80669, 75431, 35989, 24661, 79084, 83837, 21069, 61068, 34903, 98328, 91035,
            54858, 14762, 77187, 72109, 28530, 43725, 23481, 39546, 461, 87916, 22159,
            68594, 77202, 20943, 98209, 77558, 84719, 27581, 34469, 9231, 96332, 47586,
            2943, 71996, 49526, 48456, 69728, 20676, 46060, 80099, 16938, 99429, 82721,
            78128, 98302, 40613, 16635, 68865, 44700, 95756, 13695, 51345, 13005, 73744,
            73317, 29874, 15521, 88497, 3491, 80073, 83232, 6846, 99750, 32686, 99810,
            60318, 20135, 15749, 94636, 24310, 99423, 37899, 97299, 54038, 22383, 95758,
            76237, 78723, 96110, 82070, 6373, 42566, 62107, 47115, 67010, 75139, 24175,
            8597, 35118, 94097, 67268, 42206, 14982, 36231, 89842, 66448, 88904, 24047,
            75775, 51334, 69756, 20132, 21623, 53224, 25496, 47199, 48868, 76842, 18503,
            259, 70777, 15919, 8726, 83141, 15020, 90668, 72855, 49565, 47249, 46809, 43147,
            79257, 98024, 92221, 78934, 93863, 5315, 29059, 13551, 19475, 89869, 85530,
            55278, 85854, 16990, 19460, 24716, 76412, 61001, 68856, 45391, 79758, 24976,
            25637, 74261, 27010, 15791, 37035, 34599, 76785, 38189, 8544, 61555, 30780,
            10505, 23613, 47434, 1413, 34472, 26, 93986, 13363, 29487, 56087, 65086, 26255,
            90244, 56426, 1868, 94096, 24536, 25954, 30234, 15661, 84830, 19983, 40829,
            6719, 82275, 89061, 71838, 24827, 49053, 93304, 51916, 67432, 26442, 45975,
            16875, 6278, 23092, 87123, 62205, 8066, 84696, 56864, 65706, 20057, 55929,
            54391, 16998, 35141, 58915, 61680, 10697, 15620, 22166, 99524, 30745, 54677,
            60574, 91266, 36756, 88178, 4784, 59079, 73440, 85111, 30797, 34355, 72108,
            84050, 28237, 98214, 25511, 12325, 91340, 52940, 7553, 50735, 97743, 79301,
            19333, 90653, 82578, 10222, 68601, 68332, 9826, 68073, 75251, 36016, 91023,
            37489, 74436, 98238, 46917, 10142, 98537, 49283, 28281, 34561, 83038, 97417,
            81105, 56920, 66719, 12804, 75863, 89878, 13343, 69705, 58212, 54767, 37780,
            53108, 19922, 38, 56052, 9550, 78721, 43079, 24989, 45684, 69982, 83221, 94827,
            29352, 55033, 18887, 30682, 53483, 2475, 69125, 85699, 14847, 72778, 81083,
            33438, 58770, 73429, 16317, 86641, 56842, 17974, 88869, 3333, 13412, 19941,
            39097, 56242, 69698, 65032, 75944, 29299, 48489, 27444, 80283, 42912, 54334,
            50421, 19860, 62453, 60156, 25075, 9422, 65408, 8469, 67729, 90891, 43660,
            15453, 74217, 64077, 99103, 81942, 90887, 40421, 12952, 26985, 45914, 14357,
            93553, 13474, 19098, 42951, 24891, 81688, 22717, 48604, 56625, 30709, 74805,
            16029, 97928, 72680, 73309, 23788, 45400, 16109, 26712, 11395, 87644, 54539,
            81938, 57297, 28718, 49687, 76463, 80462, 43808, 79332, 45849, 93490, 80338,
            20939, 26941, 79714, 728, 93684, 89784, 43178, 28515, 66056, 63767, 6792, 92598,
            24235, 98250, 76279, 72695, 1956, 72165, 37275, 52884, 82129, 8508, 4947, 46804,
            63586, 8186, 50014, 33297, 25132, 23066, 78856, 10582, 38530, 29677, 8935,
            24426, 39571, 89119, 42142, 15642, 59320, 98331, 57446, 17201, 65261, 6531,
            63777, 6073, 95985, 97451, 82662, 36120, 34250, 35465, 96663, 17423, 60125,
            6513, 42619, 36691, 2527, 68002, 58557, 49705, 50324, 88331, 44832, 43760,
            25859, 42408, 11029, 16757, 73213, 17614, 29902, 73262, 66231, 54002, 80940,
            39324, 82063, 15003, 51551, 15652, 87964, 11664, 3266, 4789, 69007, 4350, 13274,
            21874, 79817, 35230, 45312, 52052, 20014, 93206, 20290, 73337, 42650, 53125,
            54961, 82097, 35491, 97336, 89714, 34216, 44983, 6954, 92027, 13936, 51921,
            88149, 78457, 55547, 85143, 94769, 95970, 24752, 91281, 60667, 44712, 57560,
            14936, 98471, 54943, 23909, 86426, 89618, 39953, 42326, 10429, 35308, 97314,
            90121, 68723, 67241, 35996, 32621, 6337, 58721, 95820, 7717, 28712, 49157,
            75435, 58888, 7263, 24194, 92479, 99909, 3826, 16031, 4669, 33340, 55188, 56601,
            79213, 37280, 11082, 28923, 39182, 38516, 57129, 72194, 91925, 53266, 56463,
            62641, 91779, 31264, 51050, 79942, 14463, 71983, 73473, 77482, 59369, 59342,
            81764, 18044, 70546, 42376, 34861, 92638, 25975, 35411, 16364, 99168, 23473,
            42504, 81084, 83256, 30692, 26608, 33888, 30584, 88645, 44597, 30710, 73616,
            89576, 96740, 68890, 3175, 2734, 73793, 4311, 43485, 58161, 38032, 86471, 53867,
            32926, 53070, 38265, 55714, 25222, 22546, 87959, 56813, 2087, 32513, 87621,
            56977, 75203, 24929, 57360, 56457, 77432, 69286, 61842, 85549, 58805, 15474,
            58548, 37283, 55199, 93284, 50880, 9085, 5898, 5745, 19898, 92649, 32263, 52330,
            45281, 34759, 2509, 4930, 46213, 22768, 40265, 9956, 72013, 76394, 28101, 64873,
            38942, 15901, 73204, 21390, 41584, 70956, 98470, 63740, 10001, 30974, 35542,
            14076, 22965, 16821, 1455, 4157, 60133, 5255, 38990, 45505, 34810, 15199, 42600,
            92452, 10546, 49293, 2807, 71407, 26904, 62747, 58094, 83936, 7965, 74565,
            18769, 36169, 91432, 33484, 77850, 60096, 43213, 275, 25402, 81297, 78241,
            44556, 13205, 74460, 87650, 7702, 56619, 16540, 38176, 61296, 92833, 10936,
            37343, 87615, 33835, 94587, 45749, 52413, 25216, 41737, 21174, 91036, 76080,
            50334, 2324, 92172, 51755, 54679, 92918, 42804, 86982, 18349, 23315, 94716,
            12446, 52626, 25801, 41782, 71597, 71321, 45852, 99455, 37743, 81513, 18489,
            16868, 10798, 32585, 61743, 59986, 93752, 88732, 52310, 807, 56332, 28948,
            47633, 77756, 54278, 15648, 97778, 94887, 31748, 47131, 24417, 32751, 71934,
            88018, 1976, 48537, 48467, 96278, 3120, 59098, 94855, 29240, 98877, 87883,
            99010, 9744, 19677, 49186, 26932, 54308, 91039, 95340, 11726, 29863, 83631,
            44412, 91228, 12040, 11576, 96309, 69665, 86604, 79915, 80803, 83046, 64380,
            59940, 16792, 98111, 31199, 81588, 87077, 56626, 42618, 13548, 87282, 32303,
            20887, 1316, 41370, 52640, 17013, 63414, 8528, 55734, 11654, 56679, 54987, 2111,
            20374, 36234, 58847, 50482, 66689, 6385, 43281, 89939, 31325, 42517, 22605,
            88650, 88736, 44252, 16297, 77130, 75235, 72342, 5703, 32237, 83577, 68514,
            71515, 4408, 76984, 71013, 14192, 35745, 46601, 7561, 20563, 54626, 8580, 51451,
            30441, 22080, 5228, 6177, 52173, 51285, 57661, 52984, 83547, 51522, 40160,
            50719, 20274, 70095, 18999, 1382, 32664, 14370, 43669, 84224, 56495, 60617,
            55377, 81470, 70085, 8141, 95145, 81992, 75968, 23978, 29406, 76187, 40323,
            83713, 37885, 79598, 7612, 19678, 76619, 5829, 34316, 21427, 81893, 30283,
            72626, 62603, 95120, 88934, 78821, 91081, 20378, 65592, 74594, 36763, 7425,
            35529, 12483, 63493, 52264, 49513, 63365, 25113, 80416, 56742, 27663, 92978,
            10053, 46052, 15408, 27577, 12617, 52365, 24860, 4853, 66202, 9567, 77135,
            36406, 25308, 7437, 56177, 99496, 19511, 38749, 14321, 42920, 59181, 81186,
            34667, 59132, 35307, 79252, 88467, 93608, 54343, 71394, 89742, 45415, 91369,
            7900, 84785, 50827, 29931, 41201, 36468, 60686, 93367, 60625, 95685, 48597,
            68337, 8363, 12839, 34607, 19534, 49886, 93382, 66788, 28586, 44378, 83322,
            77065, 84849, 80659, 64273, 95258, 85541, 99878, 69328, 9008, 609, 83551, 81990,
            10223, 10180, 23414, 91304, 13330, 49564, 81668, 14327, 34574, 20110, 8401,
            54018, 45361, 11707, 61488, 64233, 4400, 24624, 6170, 18822, 85128, 14225,
            45053, 50225, 85785, 18929, 29183, 72701, 37200, 35483, 79411, 54124, 20623,
            40685, 78794, 49951, 89776, 73306, 18072, 28030, 82985, 1140, 34368, 50433,
            76971, 18383, 57926, 703, 71926, 42716, 15496, 42998, 49294, 15161, 57793,
            27495, 26787, 56230, 95927, 78318, 78839, 54765, 71418, 21137, 15524, 50036,
            59705, 17767, 89600, 86642, 63211, 10176, 41337, 96264, 71601, 6902, 30966,
            81374, 28146, 6643, 72280, 37817, 32143, 87462, 29174, 44562, 14018, 34343,
            18753, 43055, 43602, 32213, 20287, 24366, 58553, 47076, 11928, 96780, 10190,
            14905, 72292, 68627, 64132, 71237, 60101, 89365, 87379, 75151, 11567, 15816,
            34404, 8502, 14757, 55286, 53788, 28062, 92459, 91357, 89995, 98972, 67235,
            31309, 93570, 40556, 94641, 40590, 77333, 56682, 64133, 88299, 30714, 86020,
            7765, 22843, 57690, 32044, 22806, 68377, 62833, 58327, 56788, 5009, 48148,
            96725, 1397, 34550, 91292, 89829, 5858, 53782, 56635, 2700, 72266, 28135, 82933,
            45984, 5880, 30862, 90660, 8231, 77590, 69526, 672, 54083, 49430, 53764, 16674,
            39145, 27929, 83465, 99108, 55534, 3665, 25391, 55405, 25289, 668, 30397, 16351,
            30365, 62366, 32809, 10198, 63589, 40340, 26230, 68064, 26160, 42340, 97518,
            37032, 4056, 15942, 96392, 15656, 14829, 90017, 77609, 49561, 91797, 48439,
            44459, 10174, 24227, 33136, 93464, 79157, 46763, 10263, 65328, 68177, 6880,
            8628, 53901, 46768, 37879, 57764, 73245, 27839, 58141, 2549, 88301, 47370,
            45753, 51240, 69906, 5233, 41635, 50210, 78698, 61831, 18389, 21756, 23480,
            54534, 72262, 44388, 77617, 19550, 71207, 85466, 85799, 39593, 45254, 10024,
            4057, 48830, 15849, 67590, 65175, 40644, 98826, 72833, 17542, 1423, 2968, 64326,
            95606, 44067, 34243, 81998, 39236, 66187, 41373, 80268, 93854, 54717, 26334,
            39813, 79212, 77350, 22644, 91734, 34934, 37738, 98519, 87089, 97077, 62151,
            2376, 71392, 78844, 26935, 75245, 65436, 75020, 88777, 20118, 20659, 56271,
            59155, 88887, 25038, 60889, 58886, 63654, 75084, 13955, 48034, 89680, 63844,
            97676, 64585, 72581, 43191, 98674, 41605, 36369, 80386, 641, 62604, 42547,
            38171, 73186, 68756, 88797, 7193, 23987, 33947, 39410, 40852, 84460, 60540,
            92536, 58962, 50895, 22229, 79198, 10323, 86809, 39420, 58855, 77417, 31357,
            20053, 83255, 53947, 45696, 95077, 1981, 77856, 99545, 90527, 17156, 95452,
            42654, 41085, 73717, 30701, 1046, 94475, 30334, 59931, 9597, 19548, 49324,
            36344, 70435, 81441, 14450, 8583, 16468, 47977, 34648, 38925, 63987, 4494, 1274,
            87406, 23016, 93877, 33040, 23827, 48717, 80885, 85409, 55570, 7356, 48563,
            52360, 63072, 60720, 50850, 49532, 82771, 52925, 91055, 5911, 57186, 23368,
            20337, 57524, 45682, 90168, 63426, 32672, 39187, 94449, 69492, 15032, 78542,
            84161, 1338, 67066, 89891, 78797, 43636, 49846, 13025, 15271, 93185, 29088,
            84012, 75527, 86262, 68734, 92423, 45889, 90320, 3809, 4175, 6303, 6944, 80753,
            19539, 30012, 2216, 14794, 3373, 77844, 16734, 4328, 98087, 37974, 82437, 37304,
            8289, 89990, 73508, 65998, 72336, 17331, 85073, 50096, 34193, 6949, 81078,
            31517, 99695, 61260, 11944, 62729, 83291, 73572, 64527, 14742, 90661, 18643,
            52752, 1845, 13495, 31135, 47869, 31460, 55897, 47981, 67876, 27168, 6377,
            25345, 20565, 7628, 76870, 1264, 96638, 7540, 47692, 27115, 55823, 59007, 47346,
            62103, 99235, 51622, 63911, 72421, 17565, 62859, 40853, 71151, 52883, 92505,
            94601, 15295, 6748, 6802, 45705, 52174, 14407, 50598, 73336, 60921, 60799,
            87427, 45375, 39401, 87315, 46663, 80649, 30840, 25912, 21694, 16246, 4519,
            9253, 15717, 14389, 24655, 3745, 33212, 72160, 56676, 24155, 45673, 40179,
            57233, 22752, 99924, 95273, 57252, 2270, 17633, 52197, 55077, 23459, 32003,
            34457, 29010, 82349, 10199, 1136, 84152, 64034, 68970, 70064, 82488, 60561,
            23777, 87205, 220, 20003, 98016, 29368, 44801, 43212, 5839, 9129, 74201, 37478,
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            41235, 44239, 62387, 52459, 71129, 21733, 22792, 60275, 15767, 66677, 63210,
            39469, 72082, 53118, 37966, 58857, 50127, 44671, 11249, 51923, 40572, 81375,
            36820, 79526, 45823, 98741, 15157, 62122, 75070, 49535, 87637, 62493, 58572,
            67917, 71027, 4330, 84650, 59251, 62847, 76093, 89384, 86766, 62724, 77529,
            13576, 24466, 8081, 57861, 63028, 13795, 70672, 46386, 65478, 64270, 54404,
            99933, 60618, 34786, 26452, 39928, 88168, 40202, 70972, 55606, 23218, 24885,
            93660, 93916, 48189, 53025, 66690, 50459, 50099, 93566, 6921, 85372, 98686,
            47778, 23242, 92665, 32943, 79230, 62313, 51488, 96267, 3178, 1534, 72815, 3853,
            25350, 95552, 72751, 60840, 8898, 29801, 48549, 9845, 28756, 60323, 814, 86754,
            18638, 5691, 20092, 40434, 59952, 40027, 46412, 22944, 14268, 60260, 76736,
            10540, 18290, 4933, 10273, 73854, 16725, 80541, 2667, 64733, 66057, 97513, 1279,
            99616, 53189, 49064, 24711, 57817, 1510, 4943, 34979, 49871, 18496, 1033, 67919,
            87684, 4039, 91965, 90080, 58801, 62293, 89760, 51636, 32661, 11043, 8311,
            98636, 32127, 66000, 15990, 82110, 57680, 97758, 78302, 59112, 81334, 57619,
            54164, 70816, 27233, 24253, 31636, 59410, 73286, 40739, 44592, 17170, 65195,
            88975, 85090, 80322, 16923, 78382, 77746, 96581, 34750, 91349, 35893, 5853,
            11024, 34923, 53598, 74691, 43665, 29482, 18784, 66679, 27593, 60031, 55554,
            93437, 94807, 59948, 446, 37349, 61599, 96552, 59860, 93985, 64720, 7464, 61694,
            80321, 71529, 38994, 63058, 89048, 98684, 97660, 21102, 78133, 80675, 11862,
            50857, 51495, 74938, 40286, 70960, 67212, 75884, 69143, 77555, 98354, 72905,
            50057, 2541, 24628, 67219, 90268, 98516, 45274, 93240, 97005, 72049, 53532,
            13380, 31626, 72340, 18342, 67134, 23428, 80267, 78129, 48002, 61592, 91953,
            16918, 47261, 93046, 16932, 6195, 31619, 18134, 52790, 87178, 1627, 68812, 7453,
            77767, 77719, 83824, 36535, 13865, 33894, 45781, 73344, 36908, 15091, 1909,
            29906, 70107, 73240, 23427, 69471, 86579, 85600, 52256, 22056, 20411, 97618,
            25184, 40790, 94368, 49826, 76481, 48020, 33499, 91221, 17847, 80988, 59528,
            65262, 20658, 23652, 76713, 85019, 71251, 7395, 96000, 97914, 97013, 44447,
            93433, 98634, 67798, 14642, 65652, 9044, 52821, 77067, 21373, 17626, 42834,
            98737, 34407, 97630, 13185, 48220, 36551, 30929, 6674, 98405, 929, 59979, 39769,
            56621, 70220, 66168, 34826, 14419, 13667, 9171, 14503, 15488, 35413, 458, 32883,
            44212, 79726, 91732, 12748, 63285, 85692, 51406, 7570, 73442, 17369, 74387,
            68101, 19606, 5144, 69204, 36635, 1527, 30517, 80968, 12233, 44602, 44816,
            99625, 45104, 61566, 37065, 45322, 46076, 9442, 31246, 38618, 2368, 39008,
            10043, 21419, 44528, 75372, 92104, 79178, 24262, 87081, 37876, 3264, 45717,
            77037, 65724, 82308, 2524, 32481, 58624, 45018, 60063, 75418, 9269, 412, 39456,
            47865, 54450, 35927, 13840, 36052, 65894, 44322, 90298, 89269, 10418, 33837,
            41758, 79307, 73778, 65902, 27952, 91729, 90430, 15783, 24762, 74039, 72552,
            95948, 74404, 50338, 75234, 85993, 20646, 32769, 10595, 47149, 71602, 58814,
            45372, 18307, 26971, 36152, 67991, 2388, 98844, 33666, 48408, 41113, 52129,
            64117, 50533, 43706, 32985, 70982, 27463, 74419, 84565, 73960, 64304, 18924,
            34683, 87385, 90153, 64432, 44802, 11808, 9446, 91742, 70150, 13247, 25173,
            8593, 14049, 68314, 75297, 56929, 70331, 70571, 69094, 35376, 30418, 55277,
            14629, 48070, 73991, 40122, 2956, 81389, 51012, 7266, 67133, 85961, 16170,
            27147, 43823, 17952, 36367, 28388, 55037, 76198, 50905, 64191, 41229, 90520,
            17947, 78351, 74797, 49296, 53126, 8166, 73360, 56323, 7482, 19111, 80816,
            66804, 78599, 66500, 41680, 93902, 34888, 85525, 32955, 19895, 22950, 29082,
            56324, 21960, 21828, 81261, 48079, 52286, 81733, 32455, 79119, 42039, 71284,
            54160, 29147, 72212, 1310, 55316, 72711, 34977, 95828, 9566, 22602, 34880,
            19809, 88885, 18083, 71974, 77880, 53796, 49506, 87028, 16232, 73119, 1021,
            78295, 16299, 83922, 105, 33157, 84628, 51264, 47283, 46953, 3329, 21864, 29918,
            79181, 17617, 98370, 89370, 91987, 70508, 71603, 58081, 10403, 88183, 14714,
            65082, 51362, 23221, 43871, 68688, 17140, 62865, 56988, 59440, 3957, 56881,
            94700, 18719, 25705, 5107, 84901, 72601, 57107, 30459, 61006, 35808, 82812,
            20663, 53928, 90419, 35850, 29045, 23980, 20829, 43219, 38612, 82819, 94993,
            50532, 23036, 10977, 76199, 64284, 1656, 6132, 71156, 59257, 15674, 96427, 9071,
            99812, 12555, 43990, 97057, 58590, 89106, 9551, 57273, 86185, 89516, 39004,
            83076, 23744, 67652, 42305, 29098, 6594, 12391, 50811, 22888, 85126, 94459,
            97482, 94175, 63835, 22106, 59910, 43069, 31217, 58029, 89810, 84392, 14638,
            49894, 20499, 34950, 92223, 20299, 24665, 73581, 39021, 34992, 41659, 88696,
            67250, 944, 67004, 68163, 49433, 17082, 65804, 74961, 97855, 70067, 10921,
            98290, 61329, 26924, 1756, 19923, 28009, 80495, 66241, 78285, 79429, 38946,
            34668, 56508, 74573, 48317, 88515, 2879, 925, 96743, 2797, 38730, 63975, 63460,
            67121, 40634, 42270, 5517, 16550, 7855, 10902, 7274, 81673, 94242, 24148, 6828,
            15288, 47291, 41895, 42022, 10615, 90046, 48832, 70173, 82230, 36349, 1297,
            47200, 40671, 74421, 35119, 66692, 11903, 9266, 96950, 91001, 54885, 71846,
            27562, 37012, 78322, 62477, 24054, 85427, 80603, 64051, 8361, 224, 16549, 26685,
            69875, 56333, 13794, 97251, 62102, 57466, 4961, 92715, 39444, 39012, 22181,
            87277, 67411, 37216, 3119, 93729, 53349, 7088, 56060, 36421, 19633, 18846,
            86657, 17100, 55253, 54601, 71834, 15994, 21827, 46033, 84886, 5137, 19097,
            31116, 4902, 62894, 82713, 91203, 95048, 91474, 88347, 16880, 11464, 80361,
            59587, 61543, 50234, 37648, 43851, 73460, 57174, 49119, 24791, 3162, 17705,
            59431, 29318, 84558, 53239, 28380, 34434, 64279, 8714, 99341, 39273, 35124,
            41834, 71582, 28658, 4302, 25009, 31401, 6569, 63076, 38893, 30209, 5819, 61352,
            73655, 75982, 72617, 44623, 74477, 63188, 94994, 79609, 83132, 77589, 95860,
            63514, 91945, 36186, 90370, 83959, 51611, 88759, 45538, 33694, 77822, 39082,
            98996, 20171, 26143, 54228, 66958, 68513, 7183, 74892, 58686, 16582, 49429,
            97076, 15301, 53502, 44468, 18121, 93218, 16365, 9407, 4042, 68356, 77269,
            65184, 59540, 2990, 74602, 51483, 95624, 186, 23296, 49327, 26384, 16541, 43566,
            57557, 16133, 90197, 69448, 94782, 91564, 60883, 61856, 82608, 98486, 8534,
            48407, 85061, 19230, 76896, 4653, 27804, 23811, 32216, 875, 11374, 48250, 6006,
            51325, 99927, 5498, 25709, 85420, 20323, 54418, 95427, 26301, 64825, 57054,
            26308, 40714, 97814, 65929, 83015, 99486, 96409, 39642, 66185, 16230, 93144,
            76478, 58058, 24544, 51729, 27038, 29076, 80229, 51731, 3898, 91472, 60501,
            17943, 74616, 74728, 72643, 77145, 55104, 5483, 13805, 32380, 79220, 22071,
            30304, 9023, 33180, 3999, 78773, 39195, 70870, 46173, 83846, 40694, 39586,
            60602, 98874, 11185, 74560, 28630, 61949, 64384, 17402, 50599, 90029, 15071,
            18858, 87496, 52805, 39351, 13098, 29722, 42490, 67282, 91243, 21497, 35624,
            5216, 61144, 63246, 28629, 17599, 40873, 41180, 51314, 77160, 6095, 96655,
            86370, 46185, 60538, 91685, 93955, 38782, 7034, 68081, 86236, 83385, 93626,
            78050, 72329, 48665, 30913, 31612, 11826, 60763, 54997, 29662, 7818, 56229,
            58865, 62415, 14279, 28591, 80524, 93001, 82918, 51706, 61930, 33985, 80923,
            24346, 7498, 29603, 95475, 96929, 17510, 16043, 91981, 63082, 34391, 82265,
            98262, 67357, 11879, 16641, 73600, 26332, 22156, 83269, 57194, 14532, 75180,
            63323, 4584, 44281, 59131, 95861, 18697, 64902, 54889, 27646, 41098, 64773,
            76545, 85879, 63651, 55990, 88837, 95626, 95167, 14306, 28531, 53042, 95849,
            7747, 68619, 91098, 40064, 77839, 42447, 99001, 62507, 66696, 32311, 2263,
            38026, 21233, 41926, 39179, 87860, 42400, 30511, 76069, 13029, 36747, 15389,
            20435, 10857, 61294, 42506, 61929, 55114, 10305, 5851, 48268, 41860, 56313,
            36881, 13354, 38188, 42021, 46384, 49538, 63146, 31515, 78105, 80823, 14415,
            94598, 74559, 47746, 24206, 72965, 41597, 26416, 78685, 35337, 6285, 19946,
            17471, 63869, 95425, 74392, 81208, 23280, 28334, 96512, 81965, 53831, 13256,
            50487, 65833, 54646, 99419, 34049, 11151, 56437, 67202, 52931, 63798, 9145,
            82124, 63078, 84458, 36672, 63791, 48589, 87673, 49472, 27146, 77252, 99628,
            14153, 5619, 93704, 72964, 23977, 83138, 30036, 7006, 29605, 56148, 52212,
            26318, 43943, 26548, 39416, 75671, 66827, 73848, 96710, 71802, 94006, 15819,
            86481, 6345, 73832, 56355, 5827, 68119, 78696, 5596, 28277, 35892, 58842, 78375,
            92844, 61556, 80917, 78153, 15420, 72086, 55994, 41081, 5750, 61293, 58980,
            48964, 18980, 3352, 30074, 82912, 61520, 24864, 1755, 969, 5695, 55947, 83480,
            35815, 20637, 92626, 98086, 50825, 96959, 37535, 2884, 16852, 19526, 84543,
            68022, 64936, 77670, 99489, 74276, 36684, 45882, 96349, 67171, 69063, 77658,
            3121, 92345, 34549, 81372, 19187, 47607, 48347, 62111, 49666, 79185, 20632,
            89559, 71216, 88326, 785, 17546, 819, 67642, 86758, 45115, 27286, 62372, 82914,
            64492, 10759, 85885, 52585, 56014, 55584, 84844, 52284, 37079, 43176, 51149,
            90380, 70114, 56233, 88411, 39029, 65613, 32081, 1212, 22455, 9611, 48412,
            84546, 41292, 17433, 79585, 37890, 34178, 80137, 20690, 67695, 63259, 86720,
            66340, 87603, 49957, 66047, 98386, 19153, 65492, 51427, 61, 68526, 73463, 66126,
            626, 41978, 75460, 77477, 94044, 90202, 91088, 42932, 24837, 40954, 4158, 92135,
            93056, 99636, 65289, 58598, 60415, 72460, 75902, 84757, 5512, 20119, 8657,
            19362, 13211, 93109, 29292, 27557, 77458, 79298, 89040, 67384, 67908, 37330,
            84574, 52663, 54781, 73677, 68935, 42827, 3465, 83408, 26529, 33644, 94336,
            13853, 29291, 83416, 18988, 28457, 93900, 17817, 92180, 11210, 11897, 70402,
            862, 59994, 85754, 99897, 10711, 81280, 83164, 62692, 61049, 45762, 50293,
            10748, 45220, 23142, 27113, 66373, 19816, 16664, 67709, 47351, 40183, 33257,
            49121, 16610, 25102, 8896, 49607, 74826, 87340, 18453, 899, 70329, 73093, 51856,
            60319, 50832, 87257, 29563, 34482, 88407, 76109, 40900, 41868, 21479, 58992,
            4182, 95586, 68783, 31421, 98374, 15363, 32339, 36764, 63281, 28602, 60021,
            19701, 76439, 94105, 49022, 54154, 16583, 38907, 66650, 45719, 3640, 96755,
            29610, 93911, 31411, 81856, 17977, 50216, 75508, 2104, 22084, 73332, 84245,
            20830, 48109, 98783, 29338, 37475, 71264, 2235, 5713, 90069, 51034, 37155,
            23643, 93443, 49888, 78417, 83189, 49990, 90106, 2563, 56459, 81108, 47979,
            13443, 99955, 30001, 31243, 66194, 44124, 26151, 99672, 11597, 35750, 85053,
            63675, 87421, 77528, 41594, 3673, 84669, 65561, 98589, 95610, 2493, 70309,
            62301, 48425, 20102, 29811, 63567, 59092, 71206, 87150, 80251, 26761, 69046,
            38210, 61829, 93027, 4011, 11355, 38641, 1215, 26678, 74896, 51649, 80378,
            72609, 99701, 1047, 88565, 64577, 58042, 75646, 12323, 11293, 47658, 97084,
            37540, 37145, 97586, 16411, 49226, 82329, 29989, 9273, 69158, 82615, 4250,
            80813, 53865, 32344, 20735, 32325, 22134, 59343, 60854, 49502, 33460, 12923,
            49727, 540, 4442, 38285, 97539, 66128, 34957, 43078, 7644, 4339, 26713, 236,
            15182, 54315, 54229, 51752, 15715, 51368, 74683, 87449, 96652, 31550, 10235,
            25136, 10537, 12552, 66713, 4316, 89079, 93615, 43902, 74054, 55389, 35406,
            17465, 468, 41223, 36268, 94276, 479, 20508, 25792, 69465, 14455, 83356, 75233,
            35618, 54407, 6626, 99171, 69584, 94959, 82844, 60474, 24577, 12161, 56970,
            41549, 27460, 6115, 61162, 75537, 35836, 73305, 93174, 77877, 29963, 73789,
            71491, 40123, 30499, 41562, 29161, 91435, 73792, 87923, 58434, 45520, 96557,
            57102, 10134, 53569, 80979, 23424, 25739, 5881, 43514, 69494, 94779, 25224,
            26373, 29323, 77715, 70689, 93442, 67775, 57432, 16503, 24802, 68846, 78564,
            14336, 73062, 8627, 49869, 20254, 32271, 33273, 86032, 98767, 16472, 26209,
            33029, 49863, 80651, 56038, 87302, 50580, 29074, 92130, 76978, 73039, 17381,
            68478, 91312, 2409, 44408, 56653, 21228, 89253, 38549, 97724, 2677, 85278,
            54207, 56328, 69838, 33769, 87279, 43756, 4378, 1832, 6566, 20880, 65657, 37127,
            79882, 87777, 67108, 54512, 52376, 39531, 36294, 22081, 33549, 44262, 24832,
            76919, 77904, 72404, 43589, 2351, 37909, 76934, 41847, 82642, 58168, 37268,
            22549, 97487, 83111, 58875, 5406, 23881, 53674, 69734, 81487, 11580, 21957,
            57638, 27685, 50222, 79196, 43828, 71372, 91421, 90182, 6437, 82446, 75903,
            95554, 60589, 29988, 91540, 55232, 70811, 20546, 15060, 17876, 63803, 92304,
            48765, 65582, 39645, 1225, 95615, 43673, 65215, 1032, 24511, 22808, 4167, 30432,
            2315, 12955, 75064, 49590, 3194, 18033, 84005, 6466, 13579, 78617, 23025, 60748,
            667, 57971, 32949, 99154, 9692, 90195, 92848, 93242, 57349, 2196, 64218, 81461,
            64819, 95323, 6008, 52407, 52132, 84784, 81817, 82257, 14846, 84279, 90984,
            54773, 53478, 99969, 79296, 26784, 21347, 7158, 4218, 81960, 27556, 37903,
            71299, 19302, 53845, 25664, 87874, 25468, 98732, 89823, 94803, 99661, 40381,
            48703, 11025, 85339, 68381, 19806, 65520, 58604, 95745, 52198, 8082, 78897,
            79169, 66854, 35562, 57351, 31056, 87833, 43325, 19882, 4740, 11496, 57293,
            93092, 36474, 99097, 327, 17277, 6007, 9813, 4261, 92088, 51942, 13298, 19105,
            38680, 64195, 29991, 62088, 38291, 51298, 67094, 29266, 19407, 93981, 87873,
            61905, 18321, 54277, 95280, 11861, 22029, 20923, 79709, 966, 18663, 85653,
            86323, 53746, 44173, 72989, 20905, 21566, 34301, 77042, 81654, 96498, 95129,
            59837, 96852, 64349, 6267, 1405, 53430, 58695, 34289, 80454, 50149, 29752,
            30243, 75018, 53508, 84733, 73769, 75012, 94991, 38248, 3918, 89273, 73085,
            80297, 72035, 14104, 93531, 88822, 48674, 44163, 45179, 57784, 22548, 96136,
            64687, 29971, 69138, 92255, 50283, 69251, 65692, 71215, 20828, 61414, 44661,
            41106, 30064, 14870, 46186, 91114, 10593, 19774, 68409, 62943, 54866, 99280,
            86201, 71469, 36525, 89934, 60446, 11741, 76298, 68132, 63523, 98243, 7132,
            26045, 84375, 32642, 8631, 24057, 61865, 78634, 6295, 49431, 6657, 70422, 94665,
            61102, 87504, 96389, 38652, 10206, 37762, 40544, 23017, 21764, 73556, 65653,
            64962, 45195, 11965, 8662, 98587, 13235, 22681, 70293, 30707, 66826, 45181,
            76049, 76781, 21703, 85059, 89345, 94261, 92955, 62112, 7478, 46239, 31983,
            68209, 88692, 52952, 60729, 42177, 12659, 5440, 23447, 32694, 19744, 51963,
            47274, 40199, 92189, 87871, 25325, 31203, 90860, 67999, 21974, 40910, 15163,
            30985, 30311, 56036, 60047, 11075, 30726, 47660, 80093, 40483, 87020, 4424,
            4579, 9799, 6412, 393, 58102, 61519, 74110, 15324, 11762, 89251, 89424, 8172,
            48445, 24556, 59484, 10192, 17842, 80444, 35882, 51071, 78287, 62754, 68103,
            85011, 94434, 32332, 57860, 1994, 80140, 72375, 32273, 10575, 18424, 37549,
            50198, 1145, 87092, 67701, 86463, 14116, 38976, 55053, 22545, 43495, 5193,
            93376, 74869, 18169, 24124, 57301, 3318, 24522, 69921, 84597, 38476, 82231,
            5287, 87434, 58959, 34680, 73049, 7311, 91702, 9833, 68061, 45170, 52429, 20060,
            75246, 11501, 53832, 88538, 29781, 1848, 930, 58134, 61515, 28264, 45550, 21674,
            15298, 8780, 47180, 59294, 55705, 32906, 12551, 86947, 79521, 73373, 30409,
            19120, 8291, 13182, 96532, 12530, 30766, 91062, 6135, 72565, 86981, 44303,
            64883, 29419, 19524, 80731, 89497, 41277, 67889, 1566, 91863, 22481, 8215,
            35975, 59584, 14833, 30461, 78471, 66048, 39079, 42610, 81465, 94026, 51566,
            63579, 60927, 35225, 14061, 32403, 89751, 59276, 52842, 52588, 61464, 52708,
            45222, 74109, 32834, 89468, 33175, 67256, 3014, 12263, 94532, 83854, 62413,
            27132, 89885, 98617, 8810, 99849, 60976, 86649, 38329, 17763, 88526, 82937,
            19025, 54990, 25477, 62378, 77305, 37233, 10670, 6144, 90137, 97376, 19533,
            71807, 74119, 36670, 21850, 20451, 7864, 93641, 99106, 42274, 5944, 94413,
            38146, 79834, 16817, 80291, 9256, 36206, 56414, 15025, 69079, 46998, 25446,
            49411, 51290, 81686, 76611, 71363, 42204, 51978, 70416, 86669, 11633, 27974,
            93200, 68912, 51855, 4051, 84443, 14276, 63253, 87110, 82381, 88632, 97848,
            90239, 90998, 3118, 76721, 35269, 51020, 17432, 88742, 70518, 84791, 97940,
            54827, 56524, 67606, 78580, 61217, 78709, 93057, 25800, 11792, 56460, 89280,
            46058, 22618, 19932, 25507, 620, 48869, 41661, 13774, 40159, 30482, 55906,
            61505, 11751, 92462, 1315, 67026, 94365, 75237, 98129, 63314, 72510, 4155,
            32512, 85214, 41105, 28300, 76563, 33570, 38877, 78878, 56360, 84496, 31417,
            34736, 48195, 36752, 72372, 994, 93948, 3625, 71555, 50593, 70193, 48111, 18840,
            68095, 10973, 64789, 23363, 79614, 48371, 79234, 29124, 29661, 89917, 82175,
            59283, 29775, 43545, 74633, 84365, 73864, 95155, 19080, 13601, 11123, 84516,
            70154, 77218, 85344, 27484, 77681, 50086, 36586, 11848, 518, 37646, 39335,
            61727, 99991, 53303, 24847, 74866, 19346, 9507, 4889, 84588, 68305, 82213,
            73491, 41750, 99183, 90996, 39950, 21727, 51359, 57740, 37118, 9072, 60373,
            27344, 81204, 25115, 27401, 5935, 57946, 597, 58963, 82245, 38340, 67377, 41088,
            75238, 56029, 31951, 60194, 90919, 76917, 21701, 78942, 98158, 15734, 45595,
            81999, 10974, 50703, 49316, 26495, 38794, 49814, 8764, 16509, 14291, 71099,
            23135, 12967, 43154, 63624, 40648, 46538, 69487, 12410, 9073, 55073, 69857,
            55221, 69594, 59525, 96457, 9218, 41131, 64973, 16713, 8354, 78732, 86376,
            30477, 95218, 42719, 70640, 53043, 28990, 33730, 22993, 72273, 71668, 92497,
            30040, 43209, 41601, 76193, 12777, 21289, 21215, 84070, 78789, 57571, 63329,
            69346, 23626, 71799, 73873, 89261, 75218, 31469, 23915, 30715, 33124, 95448,
            86594, 12004, 70361, 48145, 10922, 19792, 73331, 89461, 18465, 93795, 83943,
            70679, 72606, 60324, 91069, 10801, 502, 22069, 81564, 961, 53739, 13698, 20101,
            14607, 55489, 93618, 40584, 59071, 49953, 13487, 84131, 38805, 49624, 88734,
            93334, 77047, 56310, 50657, 10987, 30251, 27456, 5832, 46985, 77787, 77103,
            21688, 29344, 1010, 62677, 96777, 32001, 12072, 35978, 41160, 8402, 52812,
            19916, 43127, 85236, 41511, 8964, 57333, 21612, 76576, 11829, 51763, 35995,
            82842, 96033, 48688, 22832, 55029, 89130, 54624, 41413, 4781, 17732, 88073,
            26627, 22572, 9161, 19924, 95904, 8122, 38528, 60690, 48745, 54489, 84290, 5400,
            33341, 67159, 8128, 96841, 25909, 67634, 40488, 72826, 2900, 19794, 90936, 4050,
            56069, 12289, 25938, 6804, 46326, 21073, 6005, 72276, 60118, 42629, 1486, 72022,
            65932, 22862, 59066, 33447, 2873, 61238, 56730, 58401, 94143, 845, 15566, 16276,
            58299, 48430, 12295, 56845, 48773, 2915, 49469, 28765, 99028, 33296, 25831,
            14319, 71391, 41095, 77277, 5349, 58648, 3047, 25466, 30629, 77343, 86103,
            99682, 25494, 65030, 36200, 68875, 18406, 94724, 5981, 55482, 97090, 94067,
            6324, 38902, 1587, 71704, 38862, 90468, 4379, 40920, 18666, 72465, 52705, 97235,
            78745, 25465, 86532, 14034, 95914, 19486, 50722, 72238, 24644, 78430, 23965,
            1982, 22744, 8752, 81754, 24984, 7719, 72615, 41462, 36809, 44460, 37242, 3700,
            32827, 4964, 46012, 46794, 21054, 3507, 38904, 26592, 75847, 78673, 77648,
            69694, 29148, 16240, 17232, 15755, 38462, 85793, 55858, 6229, 57264, 61170,
            29924, 47405, 69673, 26845, 40129, 16856, 15974, 65698, 43796, 26568, 36464,
            69299, 89641, 35447, 21592, 29461, 50962, 27315, 2247, 64119, 32720, 94952,
            11650, 56554, 82756, 52607, 8991, 70010, 95569, 57024, 33917, 40278, 1453,
            51614, 76277, 64123, 99055, 74518, 28251, 43246, 74878, 97904, 24812, 91442,
            54653, 2236, 49242, 12343, 7892, 51648, 40493, 9626, 58730, 59048, 13470, 95886,
            32217, 94474, 81006, 80608, 89872, 10253, 10673, 70537, 46130, 51223, 22040,
            33493, 55611, 47915, 7264, 63197, 99928, 7886, 32232, 66433, 74890, 18507,
            89021, 97474, 56869, 12052, 65108, 57689, 18635, 47416, 19255, 84366, 16251,
            49424, 35021, 71375, 20961, 94911, 37486, 82460, 10075, 87079, 55339, 14928,
            84001, 28074, 20329, 27958, 91900, 24100, 93815, 62506, 50365, 52028, 7215,
            61230, 48279, 72779, 30324, 58097, 10618, 4047, 65811, 42809, 40410, 7625,
            55055, 75672, 68094, 42855, 75708, 51830, 23923, 66997, 50236, 64858, 56010,
            47585, 75815, 82666, 39802, 38505, 88417, 83931, 15567, 90249, 53085, 2790,
            92641, 53236, 40722, 44938, 27373, 99499, 93000, 95400, 55580, 72084, 87938,
            3863, 5664, 57458, 38867, 27540, 41321, 48129, 77304, 59671, 11364, 74745,
            47403, 1208, 77860, 90755, 99491, 91591, 87115, 66169, 73794, 31051, 87629,
            29736, 81958, 80404, 60176, 74860, 26165, 64568, 84776, 97279, 66995, 31086,
            24677, 63303, 90205, 88144, 610, 99107, 13857, 44334, 76991, 94752, 49811,
            76016, 47134, 37431, 362, 14075, 4222, 91492, 77251, 61956, 44101, 17262, 25523,
            93624, 95152, 25789, 39428, 63441, 24552, 38316, 20947, 75051, 54817, 31148,
            6411, 54327, 39283, 46360, 70373, 49956, 12111, 42319, 72121, 18661, 84671,
            44039, 31518, 24139, 28676, 84916, 27608, 70487, 73053, 76171, 4232, 13055,
            56904, 83811, 99365, 17596, 81909, 87312, 89522, 90212, 24843, 61244, 71578,
            69135, 98138, 2818, 27530, 18964, 80530, 53587, 11727, 1124, 49290, 36636,
            13550, 86416, 35458, 78080, 86639, 13427, 75721, 60815, 65986, 37063, 76940,
            72368, 96563, 27528, 38069, 51460, 27874, 96907, 782, 34982, 73069, 7966, 10721,
            72233, 66468, 51312, 48764, 34286, 84492, 81088, 40825, 72867, 50486, 88573,
            30902, 50840, 58051, 82760, 45635, 99712, 66523, 24379, 40313, 14977, 99664,
            35470, 2199, 80922, 8163, 28964, 74314, 77122, 8248, 76088, 97001, 1438, 30100,
            45105, 93799, 29634, 19489, 34452, 57559, 94688, 46409, 55862, 79977, 44909,
            43337, 22050, 42941, 33883, 62300, 24902, 26993, 37579, 71875, 12306, 41299,
            23676, 24641, 4571, 84786, 90583, 94722, 57430, 95765, 34218, 19864, 34492,
            69765, 83649, 25601, 20286, 86299, 56980, 62933, 46465, 3067, 49359, 4594, 6661,
            61957, 78710, 42485, 80152, 32554, 591, 4643, 31641, 51127, 24846, 97508, 18461,
            26248, 41198, 38451, 12110, 14541, 62505, 37120, 23047, 14396, 15972, 90790,
            94220, 12853, 65769, 97499, 64093, 8687, 94766, 74384, 7522, 46549, 95330,
            20962, 15431, 83328, 40839, 68400, 79808, 48558, 40675, 77502, 24912, 31644,
            27618, 48682, 76208, 82611, 7230, 52464, 79976, 50484, 76248, 36572, 8613,
            49880, 26779, 37583, 85671, 89124, 50476, 70978, 71301, 54466, 65432, 87481,
            66688, 77258, 35415, 69514, 92340, 90497, 98166, 11266, 5986, 31578, 62340,
            25598, 16242, 2056, 16504, 87518, 41024, 45403, 66792, 94738, 81751, 63428,
            48015, 21867, 33050, 71667, 62361, 38601, 52099, 39807, 92681, 93775, 52444,
            63972, 45850, 4233, 84264, 72614, 86483, 58800, 89027, 23867, 90420, 51448,
            18603, 69834, 52262, 20142, 54075, 68746, 82974, 84419, 52039, 68528, 78242,
            67721, 22016, 71103, 39933, 68720, 92491, 68694, 6212, 11085, 16498, 80414,
            85952, 91872, 38821, 24594, 5120, 42370, 90000, 71606, 43827, 71134, 23816,
            18063, 77243, 86596, 82120, 14364, 57724, 68151, 66615, 79932, 35703, 35907,
            21093, 31749, 8893, 6058, 22523, 63035, 67057, 59563, 13876, 4911, 9005, 13563,
            9224, 3618, 71885, 75474, 66512, 20583, 85900, 34590, 19942, 93176, 28124,
            83829, 17141, 89009, 24036, 84395, 76810, 44136, 40962, 87380, 96299, 61940,
            43414, 64071, 51505, 42414, 94354, 88568, 74336, 12002, 6186, 72886, 89710,
            91437, 37337, 21763, 44777, 2535, 26987, 72624, 3207, 55955, 21860, 88458,
            13514, 6256, 22065, 48648, 99926, 40346, 5372, 47218, 51021, 30835, 14287,
            98940, 36472, 11393, 45060, 71874, 41795, 4687, 60524, 72962, 8173, 24395,
            89255, 33092, 80139, 92422, 76729, 16591, 10928, 72988, 6966, 75133, 34540,
            30891, 89796, 15031, 33177, 75995, 38681, 38042, 4561, 72265, 30750, 8022, 4909,
            74807, 85146, 652, 88259, 4213, 74999, 18058, 30149, 79249, 79643, 99674, 10219,
            61340, 13811, 20180, 46477, 54523, 43478, 90436, 52196, 40553, 54826, 427,
            39386, 95669, 12264, 34873, 41452, 85357, 21750, 40334, 45508, 34766, 61118,
            72934, 28631, 33401, 45739, 91758, 71080, 85113, 75654, 43555, 50942, 52907,
            40747, 78310, 76511, 41952, 33402, 57671, 18260, 25196, 31679, 25986, 78888,
            73487, 31195, 30119, 79093, 81504, 46873, 46500, 46325, 87817, 24930, 5889,
            59089, 72017, 91273, 14470, 44223, 17917, 78646, 81249, 8589, 12752, 8328,
            72796, 79782, 13290, 58495, 44049, 27777, 32159, 95435, 86470, 73485, 9132,
            59664, 97806, 38982, 34706, 36450, 2516, 29969, 52654, 90809, 92924, 74642,
            46201, 7139, 25706, 20344, 7116, 54380, 90087, 71291, 83106, 28076, 32447,
            26963, 37086, 11652, 54209, 25947, 25020, 24129, 63207, 46905, 79730, 10998,
            87445, 50854, 59470, 36145, 70140, 80711, 32129, 37671, 96940, 56350, 3429,
            24022, 68989, 32110, 57551, 89944, 94472, 69137, 67571, 19602, 81454, 77073,
            89814, 6540, 90136, 17412, 2462, 96, 10497, 94629, 59794, 81220, 83852, 34650,
            66267, 55142, 17415, 9317, 52578, 71267, 51573, 9365, 20911, 74359, 8153, 91852,
            51539, 46385, 16290, 49557, 41687, 92483, 36674, 63315, 29849, 46496, 47685,
            99560, 30988, 76663, 35797, 6512, 21825, 64444, 93021, 62618, 25257, 96425,
            8495, 6163, 20406, 55401, 32077, 14169, 41050, 60864, 58838, 52587, 41383,
            60837, 36452, 35552, 54218, 82748, 75731, 31105, 79617, 31586, 78141, 42356,
            75279, 70245, 58266, 78202, 30348, 82634, 58849, 13503, 15614, 39652, 69869,
            82479, 12402, 88296, 21747, 53830, 8766, 77491, 75356, 68570, 98993, 50783,
            17851, 18849, 15931, 25809, 79045, 39259, 18287, 22927, 16405, 39031, 14182,
            23510, 53811, 74362, 5693, 350, 5535, 94310, 40435, 87509, 54347, 35645, 66117,
            57370, 28622, 36854, 16740, 88823, 75655, 41318, 58554, 36509, 94847, 76501,
            51813, 21538, 72848, 34144, 30679, 1762, 37514, 91751, 92999, 87352, 81442,
            25862, 30211, 43915, 70376, 18509, 70886, 4788, 26566, 72360, 84031, 3977,
            68440, 27447, 67697, 45366, 50332, 68281, 83306, 31996, 63222, 7041, 57126,
            76500, 95481, 73471, 89916, 51163, 85596, 19458, 35557, 55623, 13898, 72969,
            77123, 52346, 6598, 24192, 63161, 26667, 84538, 95680, 83499, 3930, 5950, 89900,
            34663, 47308, 85725, 79877, 3301, 2610, 33048, 31000, 1790, 4828, 79092, 33328,
            33408, 48074, 54068, 40240, 8027, 93794, 40725, 50600, 31542, 84412, 15479,
            5766, 3837, 49781, 54462, 47641, 9032, 4135, 42064, 35322, 57893, 90945, 37212,
            32640, 38719, 23320, 65485, 21610, 33431, 18335, 67784, 28273, 3614, 89150,
            98182, 55382, 36108, 96341, 60492, 44130, 2783, 12980, 3558, 84881, 23244,
            44213, 36992, 94094, 74504, 93717, 92794, 53560, 90764, 25314, 51311, 68759,
            52802, 60551, 61878, 96474, 84166, 42387, 45608, 18240, 92007, 49443, 93861,
            52496, 17367, 63639, 44962, 70360, 83245, 37198, 89724, 61257, 19246, 83053,
            55095, 86147, 26386, 92481, 35983, 47355, 32771, 1317, 6529, 58613, 64932,
            42717, 81448, 81319, 29938, 38892, 51399, 40091, 37223, 51411, 6093, 45474,
            3857, 31330, 79596, 48584, 17845, 97480, 298, 99493, 67135, 97523, 93659, 23906,
            8925, 90404, 40392, 17657, 82680, 2864, 88470, 54333, 96106, 43458, 44331,
            63293, 56393, 33487, 45500, 78148, 89067, 49254, 28952, 98922, 79780, 40977,
            27824, 26665, 54179, 39436, 87753, 93824, 21051, 52662, 30032, 52981, 39188,
            98149, 36381, 80370, 41752, 72649, 46470, 91067, 13785, 81196, 84086, 79428,
            36189, 45271, 78932, 81545, 46770, 53090, 86928, 55131, 21644, 86610, 99666,
            42556, 10063, 72327, 2791, 79268, 80539, 54580, 98498, 39978, 96324, 32431,
            36155, 65969, 47418, 5316, 43297, 79369, 16869, 25719, 26920, 18210, 65909,
            28614, 1594, 79160, 55110, 91100, 79164, 72781, 59204, 1355, 83648, 33685,
            72706, 17531, 23918, 70413, 99540, 4859, 85878, 82978, 19193, 5830, 36312,
            88155, 20952, 44309, 4664, 73874, 57900, 53444, 28352, 31788, 32866, 46744,
            94516, 95950, 36454, 90170, 2479, 42688, 9564, 18829, 68201, 4588, 75517, 19023,
            75301, 35685, 81682, 67429, 73654, 14150, 55840, 19434, 9517, 69593, 25026,
            23088, 14897, 66323, 13906, 77309, 1973, 31506, 94753, 10955, 62953, 4656,
            76530, 71113, 46073, 51700, 39564, 73823, 17223, 38842, 53061, 25697, 35784,
            85448, 99169, 70090, 21891, 74590, 30195, 34634, 67669, 68665, 27809, 53780,
            33303, 86049, 95507, 1216, 76089, 40124, 30814, 11689, 36611, 14909, 90074,
            95694, 47649, 936, 10940, 55351, 49900, 51567, 88778, 36802, 17197, 90720,
            30015, 91375, 67364, 82281, 57435, 37840, 72485, 37972, 18023, 20756, 48212,
            78850, 61724, 76189, 4928, 39501, 65803, 75737, 6994, 88154, 23033, 32780,
            96953, 91048, 48465, 23770, 55692, 32872, 49874, 67458, 37571, 30885, 23599,
            57459, 26461, 9217, 87453, 45445, 81092, 9538, 60689, 83238, 27862, 16097,
            28894, 91520, 10278, 3296, 46788, 12290, 45824, 88705, 58413, 9216, 17846,
            39491, 29916, 15147, 72562, 10903, 72696, 91160, 51224, 34708, 87689, 18641,
            43826, 56200, 29371, 7235, 92628, 71652, 12585, 51954, 18884, 52267, 4628,
            49689, 11472, 58934, 32388, 13113, 27177, 8104, 13734, 19216, 14827, 43181,
            9146, 36723, 36103, 507, 91974, 83125, 78255, 81953, 9066, 12471, 87897, 88480,
            83572, 34829, 86635, 75909, 53063, 34042, 29413, 18245, 27856, 63615, 90548,
            4665, 62649, 93806, 25650, 52987, 36149, 31179, 90599, 45905, 68988, 43263,
            45971, 70787, 67959, 85743, 68518, 89908, 62590, 13978, 307, 35913, 39530,
            13986, 92285, 6155, 85658, 90027, 37526, 25392, 70674, 20937, 48644, 43018,
            82250, 28941, 49468, 24281, 89483, 59535, 15840, 59944, 47829, 22, 85251, 91959,
            31151, 28496, 84475, 64950, 26844, 45533, 6470, 10511, 61029, 74943, 81146,
            32534, 9855, 72952, 7858, 72967, 82916, 34788, 90746, 52616, 65097, 21241,
            89220, 18780, 59149, 20870, 21966, 11253, 373, 87112, 73160, 60969, 33827,
            92470, 98691, 29337, 26890, 11835, 22516, 75009, 82470, 771, 56985, 26666,
            89883, 68205, 67442, 41193, 46827, 20121, 22129, 28719, 47974, 88158, 7704,
            31024, 19979, 36041, 52809, 53742, 63178, 53626, 8524, 45119, 77557, 43837,
            36173, 21890, 11412, 6063, 27069, 58763, 25422, 72959, 95279, 16963, 59888,
            49521, 80156, 20684, 47542, 31218, 24282, 79320, 58555, 3478, 7666, 18050,
            41016, 99520, 96143, 45301, 82503, 72512, 53672, 45413, 85163, 98100, 34666,
            78495, 92643, 73300, 62084, 75016, 10663, 16137, 65563, 29294, 35847, 17945,
            67224, 79015, 209, 58251, 58527, 35494, 79826, 89422, 75780, 49247, 17409,
            75420, 79128, 6426, 91177, 76571, 52511, 96464, 38542, 25133, 71085, 62009,
            22595, 87485, 38584, 92797, 22448, 70438, 33956, 25382, 42601, 19777, 54937,
            22635, 84585, 66025, 90831, 13643, 35665, 94273, 96984, 66464, 83436, 45607,
            85989, 40657, 23588, 43855, 12117, 75033, 77329, 43550, 77438, 1987, 13583,
            51162, 37047, 19940, 94341, 38554, 44209, 86345, 50876, 15171, 98846, 4744,
            44953, 97537, 47282, 91484, 60029, 57583, 61155, 22449, 25711, 17172, 17124,
            68531, 23116, 50590, 10524, 40497, 34244, 33208, 95362, 96053, 80060, 71945,
            87165, 34155, 31938, 13552, 33161, 53659, 59384, 2916, 11494, 67727, 17264,
            15834, 16497, 85467, 50794, 88725, 3589, 90670, 98756, 51028, 60908, 83839,
            41227, 18249, 78399, 41481, 30498, 79036, 52710, 95757, 53079, 24780, 49450,
            52467, 42131, 29974, 28068, 20479, 52068, 77830, 13168, 57839, 95353, 68471,
            58889, 15698, 82100, 92411, 56199, 39668, 18825, 67719, 47411, 8478, 3445, 3611,
            38193, 1820, 27682, 11930, 36158, 2271, 28908, 21461, 80157, 71617, 52892,
            48731, 77059, 46657, 91833, 44015, 41394, 59727, 53530, 39089, 38741, 40934,
            84167, 12987, 39839, 41326, 40403, 29647, 26153, 91162, 46268, 5395, 84173,
            9585, 25714, 97269, 83244, 68294, 65993, 30485, 809, 79229, 26520, 95444, 65790,
            54533, 93336, 67793, 80070, 5802, 73152, 60309, 58099, 31053, 62519, 51869,
            59217, 14212, 33550, 99219, 12775, 76175, 50246, 45683, 71581, 94376, 67345,
            90454, 4610, 73238, 21946, 91536, 16055, 73343, 34033, 51108, 12781, 3391,
            24908, 77119, 11104, 91170, 98863, 68956, 17024, 42334, 44505, 80143, 50371,
            85017, 95235, 80042, 56422, 65598, 24327, 95778, 579, 93, 98812, 57043, 781,
            71906, 26720, 68546, 6266, 98421, 83773, 61484, 56385, 44243, 82426, 16673,
            39142, 54355, 46914, 80934, 20612, 96234, 62025, 95577, 59101, 55447, 11429,
            42845, 53192, 12013, 57523, 74723, 62709, 36590, 96550, 23346, 16863, 11577,
            75886, 46911, 75594, 33841, 54453, 37312, 57913, 23128, 64343, 78553, 61639,
            72073, 9648, 59229, 55839, 24086, 14572, 98957, 81577, 18031, 75478, 43284,
            5531, 80243, 18362, 45987, 11073, 66810, 71503, 63381, 34553, 78394, 20595,
            88613, 52253, 7598, 77150, 68211, 46361, 83927, 67428, 23882, 38974, 80452,
            53489, 70963, 21757, 85340, 88303, 85082, 4985, 16062, 33234, 56270, 37731,
            33503, 78589, 65462, 52572, 42781, 14233, 14382, 96027, 72048, 79990, 43762,
            77236, 33879, 63749, 44995, 2099, 95076, 32568, 7835, 18862, 84360, 93620,
            74792, 97114, 11063, 53463, 32714, 35523, 58187, 22400, 85049, 26852, 70647,
            20050, 96203, 36511, 68277, 43539, 14775, 82797, 5187, 65321, 82712, 76948,
            65339, 54730, 50552, 17930, 64355, 57795, 25239, 6054, 29154, 44200, 80005,
            95461, 5686, 22245, 27885, 25549, 1287, 78147, 88539, 80665, 30246, 16420,
            87525, 24788, 44885, 75772, 16149, 66217, 46903, 79553, 98172, 67722, 25546,
            52276, 28983, 23755, 21558, 10351, 76060, 5152, 92151, 88022, 44905, 58683,
            7382, 96575, 72315, 15713, 54980, 94487, 22943, 57748, 61374, 66646, 87005,
            52165, 27604, 34061, 74763, 16655, 44023, 91547, 70931, 33690, 6573, 15461,
            29230, 84529, 80844, 51413, 37809, 376, 32633, 19063, 99050, 18958, 63986,
            38112, 24671, 36609, 82365, 73254, 57364, 45763, 13265, 12470, 39573, 53350,
            31761, 33357, 96992, 44886, 39136, 73251, 65396, 38970, 15831, 10701, 85228,
            49640, 73216, 74106, 28253, 40362, 73428, 10787, 55225, 73887, 16076, 27680,
            49057, 74588, 39202, 18937, 94358, 96372, 6125, 62178, 94531, 93614, 51474,
            67016, 16995, 98157, 34405, 97115, 74108, 41735, 24579, 42294, 76871, 24301,
            78859, 64855, 22009, 48478, 12746, 40684, 16012, 6083, 92920, 15016, 49762,
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            32467, 33905, 73452, 46320, 28377, 35544, 68693, 62259, 20649, 22167, 55426,
            69215, 7226, 28881, 11127, 9292, 81409, 61070, 96796, 84868, 67347, 86913,
            94130, 34970, 20626, 85751, 94896, 62984, 13633, 10644, 26663, 47947, 75506,
            43866, 72491, 95578, 56549, 61662, 69854, 2362, 29022, 9499, 41756, 50843,
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            44749, 58233, 78004, 56013, 83738, 54158, 63790, 23790, 15763, 82890, 64719,
            81474, 96578, 4132, 56475, 3124, 99340, 47765, 37241, 43824, 97192, 50648,
            50399, 76387, 57098, 60528, 82434, 10527, 21356, 53567, 5662, 80624, 28492,
            34299, 65291, 91763, 88592, 47766, 28087, 6282, 82374, 20424, 51309, 92314,
            8509, 36068, 60355, 22163, 71539, 83886, 36219, 99629, 40401, 149, 80343, 37681,
            56056, 36297, 96524, 7383, 32510, 70204, 76185, 24405, 30700, 38187, 82921,
            25982, 10880, 7310, 46610, 15482, 50153, 23149, 30089, 23434, 62853, 50890,
            64656, 95249, 16916, 48984, 19697, 64194, 24415, 21535, 85882, 13718, 87667,
            98015, 42995, 73624, 52148, 19244, 18767, 97592, 64828, 12179, 17858, 85377,
            59985, 72679, 62240, 74433, 32055, 32239, 45150, 54362, 3878, 20567, 49199,
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            80931, 81722, 62526, 28666, 43170, 61889, 20955, 93773, 78038, 92618, 45493,
            21021, 83233, 46636, 74945, 6844, 71369, 1856, 40085, 97551, 38137, 3083, 16849,
            77154, 40514, 77029, 75074, 70261, 95327, 56852, 1101, 1404, 75050, 9812, 71275,
            53496, 54855, 93040, 24573, 37657, 94488, 81805, 59680, 58715, 97335, 50944,
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            47845, 56319, 9033, 61989, 78630, 40585, 81007, 30497, 55266, 58938, 4353,
            65495, 83489, 50534, 44820, 2525, 81178, 83767, 74766, 83246, 80716, 18429,
            17837, 92661, 41453, 12689, 36895, 73422, 73555, 820, 89466, 27119, 77105,
            70068, 15136, 68948, 14644, 77077, 20106, 59761, 3143, 98340, 10830, 64639,
            73847, 77043, 20175, 79593, 55893, 9299, 6665, 72918, 63895, 86777, 75470,
            56311, 43603, 92581, 81055, 62508, 77935, 26428, 57086, 96938, 40256, 87002,
            22979, 56658, 22356, 64595, 11446, 88323, 86567, 35587, 91708, 73145, 16872,
            4526, 69129, 22112, 68544, 29764, 81338, 50639, 84933, 33467, 93958, 39275,
            7423, 86513, 9069, 27844, 90589, 53503, 355, 91200, 18809, 56850, 18133, 75219,
            8340, 24019, 82494, 54274, 29233, 31125, 44633, 84076, 80656, 8169, 7484, 68385,
            10738, 33319, 51417, 22236, 48175, 81034, 49813, 53421, 37625, 69216, 96840,
            40894, 61480, 67255, 75485, 65012, 99902, 9186, 32544, 89259, 10186, 46664,
            66884, 84240, 83082, 44485, 87980, 62007, 66049, 19076, 94828, 49581, 35016,
            44698, 42161, 35266, 6149, 49749, 64881, 10339, 48197, 11729, 20212, 80907,
            53964, 98830, 66018, 88691, 12317, 56889, 85280, 54227, 12448, 37577, 15934,
            23094, 20109, 65927, 91151, 97943, 50572, 87792, 65056, 37785, 45925, 10356,
            94410, 98837, 26654, 11899, 93990, 22173, 8790, 83524, 62314, 63199, 28453,
            86789, 55260, 76631, 601, 79437, 73642, 81624, 56941, 24787, 99379, 6279, 46281,
            19312, 14663, 69380, 28311, 83247, 14477, 86282, 11099, 40810, 51449, 24560,
            22842, 93397, 90968, 60835, 91644, 53375, 56188, 37811, 75212, 23524, 42329,
            3490, 33742, 78600, 59572, 94627, 93640, 67670, 74903, 32427, 59172, 20469,
            58319, 55960, 71653, 94763, 83324, 45883, 36579, 34938, 16633, 96601, 52362,
            15347, 84547, 60797, 91201, 79479, 77841, 14635, 24115, 6043, 49632, 15769,
            10570, 48767, 15654, 67469, 10161, 51423, 13015, 32267, 2695, 51572, 23091,
            4390, 68128, 31236, 40203, 89605, 39310, 54490, 66321, 16927, 11912, 93521, 684,
            51170, 74545, 97858, 99507, 93393, 49721, 87931, 11767, 34179, 40243, 82612,
            58086, 17900, 92058, 59713, 3960, 73288, 9868, 25611, 27185, 27923, 35176,
            29029, 70710, 14899, 4695, 75135, 22971, 29914, 8542, 44945, 53971, 76161,
            93384, 81724, 29118, 44178, 31897, 92472, 66177, 40076, 75649, 58152, 75832,
            35958, 54367, 69502, 16273, 96589, 94756, 26553, 62773, 13064, 15585, 48287,
            54369, 29829, 51829, 4931, 46315, 17023, 348, 91722, 93511, 23465, 83697, 84133,
            50750, 21121, 13963, 78346, 49040, 51181, 83143, 85369, 10187, 13741, 33478,
            90999, 39878, 85246, 17239, 47892, 36792, 79006, 48958, 97913, 20832, 16331,
            78091, 29375, 1023, 68331, 55822, 64238, 85121, 27313, 6624, 93777, 70851,
            78364, 70734, 32294, 2207, 79741, 13460, 5729, 12963, 59748, 55999, 60839,
            62947, 5133, 33795, 45983, 63868, 96944, 66328, 77367, 62945, 12102, 32315,
            82530, 17102, 53661, 83431, 93439, 82535, 75952, 69689, 7527, 64226, 5469,
            86369, 28749, 74044, 90858, 91179, 44190, 43795, 18255, 2314, 24256, 66882,
            93807, 61965, 7424, 36697, 65631, 89128, 66768, 6827, 25240, 21399, 87881, 1014,
            53736, 56571, 35630, 44539, 29529, 59244, 12201, 37626, 87528, 96737, 34096,
            61483, 55252, 14732, 27815, 36601, 55295, 68303, 95309, 67317, 33854, 21716,
            20685, 82931, 56104, 72814, 19561, 56206, 30923, 12541, 14938, 84434, 86129,
            3457, 29071, 17844, 1741, 50634, 58966, 34914, 79632, 46223, 52684, 96149,
            44502, 89394, 79529, 60422, 35661, 25094, 20767, 22136, 91335, 71138, 26952,
            10937, 97300, 44856, 57562, 52497, 12462, 32647, 38717, 28509, 78760, 50822,
            32387, 19767, 1511, 82324, 17353, 40176, 50071, 40812, 25763, 77466, 7958,
            77268, 53892, 2685, 40950, 34305, 22188, 1846, 5821, 14181, 78230, 99596, 42487,
            63530, 97282, 70411, 85810, 5006, 86338, 38447, 55747, 6977, 46551, 14623,
            98344, 16044, 64483, 31260, 77524, 73604, 52299, 28198, 68612, 57897, 66527,
            97103, 38051, 82098, 78717, 79702, 93084, 20069, 52485, 2568, 52181, 82517,
            78527, 62237, 95097, 13933, 97319, 41256, 5482, 3607, 78929, 72982, 68014,
            57957, 74606, 39285, 69375, 4924, 93667, 95202, 78388, 98575, 3179, 79744, 7278,
            80272, 64624, 55488, 28790, 38017, 30662, 21245, 52199, 6184, 15473, 32226,
            43564, 29857, 5521, 49790, 50369, 35051, 44822, 95987, 52960, 88826, 80572,
            11983, 47842, 40602, 69210, 66618, 56722, 81158, 73144, 61180, 62322, 99217,
            20277, 99817, 84225, 48209, 10664, 37325, 75284, 31468, 85077, 20505, 14510,
            12513, 91539, 95558, 53229, 6264, 11882, 38597, 46298, 8460, 40726, 12425,
            30238, 45456, 53182, 99437, 46924, 81144, 68451, 37222, 2798, 19014, 13492,
            43954, 34354, 68149, 35880, 21518, 86815, 12844, 24382, 81445, 78428, 45878,
            98723, 45211, 80734, 6119, 62593, 64988, 29617, 29965, 34795, 69113, 82161,
            4894, 14657, 51146, 41839, 63468, 17386, 36510, 69027, 22802, 63054, 31119,
            84352, 33682, 84703, 23871, 60315, 74843, 92114, 28470, 95331, 58386, 66364,
            55030, 45788, 13237, 33471, 46684, 39099, 38018, 64089, 84918, 98357, 25264,
            67850, 69095, 23568, 96495, 52073, 73912, 67464, 50578, 50065, 70274, 2343,
            99187, 69336, 19605, 39379, 69707, 43864, 59699, 91689, 78543, 3108, 23259,
            37837, 81230, 32006, 93341, 71570, 85380, 33625, 17873, 22747, 82283, 62509,
            78246, 74323, 21649, 5118, 8860, 24221, 66629, 53255, 92256, 60136, 89146,
            91278, 962, 62123, 3534, 80882, 87566, 33410, 29332, 84037, 23580, 36434, 35621,
            33362, 57875, 51895, 2049, 2823, 90257, 35900, 589, 4759, 65629, 44432, 79673,
            32281, 98084, 90076, 55428, 65999, 88700, 68229, 39341, 89517, 74024, 86265,
            43358, 91888, 31327, 38854, 94409, 68790, 37106, 8124, 54759, 29333, 40549,
            22954, 3627, 29260, 18400, 59797, 21753, 28996, 34917, 41363, 40626, 57231,
            92269, 13913, 47844, 90846, 67226, 97684, 51440, 37421, 47705, 39455, 36113,
            54754, 56023, 37856, 11922, 23146, 10230, 48258, 10549, 42598, 70609, 79664,
            59041, 6351, 46742, 89587, 32310, 52852, 52725, 71150, 37291, 85341, 82227,
            53994, 17181, 13669, 52691, 5502, 41524, 33523, 82261, 63166, 51578, 74401,
            88996, 742, 48705, 62327, 22603, 24013, 58777, 76054, 70826, 33160, 20428,
            52315, 49691, 77613, 78036, 55066, 68247, 23312, 53346, 8877, 75856, 66531,
            4878, 15028, 94189, 86949, 58599, 6642, 582, 58057, 38772, 30850, 46314, 4692,
            1063, 43648, 10965, 53020, 98240, 90445, 32493, 67631, 55342, 63783, 25200,
            11325, 11979, 96408, 49407, 99412, 67279, 2631, 10330, 80225, 1322, 91297,
            31324, 46016, 45997, 29952, 43936, 29429, 80171, 31389, 58000, 19563, 77349,
            24574, 44113, 84035, 13080, 84707, 95003, 41132, 49370, 77200, 89347, 21003,
            34827, 82770, 15611, 8541, 34720, 53016, 55238, 1110, 49466, 71591, 26776,
            25100, 30016, 41287, 9979, 13050, 64582, 50344, 86577, 89377, 14957, 82454,
            25423, 59762, 14773, 45036, 86004, 56080, 94075, 39261, 75719, 33780, 25192,
            51831, 69005, 73157, 58946, 4642, 99288, 14184, 33909, 85169, 85979, 3029,
            91462, 29784, 72123, 82778, 66136, 2133, 22196, 92698, 47440, 31452, 31923,
            26322, 74585, 66303, 27055, 99597, 16850, 40692, 74307, 70377, 55790, 81793,
            24127, 75404, 50574, 22318, 59206, 43537, 70243, 9063, 45049, 12584, 18329,
            28317, 28115, 5652, 89099, 24151, 86440, 32369, 88671, 52963, 48441, 27179,
            87807, 74877, 12461, 60308, 15373, 9859, 32300, 51161, 44253, 54090, 20356,
            55279, 7807, 20010, 4835, 98637, 61513, 70252, 12596, 5451, 60838, 5063, 37943,
            30006, 95030, 80220, 36973, 21950, 72927, 36092, 16493, 17883, 23115, 93026,
            42086, 69587, 49297, 78138, 71940, 89620, 83976, 69239, 27166, 28618, 25454,
            96003, 28450, 31678, 98665, 68117, 55581, 78416, 53321, 67333, 84586, 83366,
            40795, 97383, 85456, 91032, 6679, 67337, 64442, 87009, 11001, 82215, 62345,
            89562, 47376, 93237, 22576, 13692, 47908, 93933, 80872, 65874, 45650, 16303,
            76132, 10996, 74798, 86950, 1330, 2252, 21172, 14219, 30378, 55793, 38444,
            32063, 87546, 57756, 61958, 67087, 37799, 11056, 77416, 19446, 16805, 99151,
            8111, 27426, 41458, 83669, 74263, 67104, 31532, 11561, 12939, 32341, 6901, 3931,
            5845, 29094, 11273, 11849, 52046, 59426, 59579, 34517, 94299, 32171, 78686,
            67580, 60620, 24181, 21273, 5172, 81580, 4739, 19555, 55442, 94615, 81685,
            62491, 68731, 27009, 8753, 48487, 3746, 69508, 62212, 87717, 6986, 19479, 23574,
            66828, 97566, 41386, 20096, 2060, 96493, 50448, 7596, 72042, 12667, 91654,
            80084, 47863, 51740, 48625, 21994, 6485, 31782, 27595, 24729, 27301, 91386,
            87698, 5844, 17222, 77440, 8034, 77335, 82660, 10602, 12518, 52723, 87638,
            56267, 51106, 39083, 88915, 65427, 31572, 24195, 8603, 20112, 89926, 78271,
            91740, 50775, 33844, 62436, 73791, 64970, 32627, 86221, 19847, 9676, 10688,
            13326, 14578, 56240, 68202, 39302, 2605, 82740, 18883, 94687, 11457, 2497, 632,
            64661, 54142, 50545, 37306, 85742, 1826, 90876, 7617, 40300, 40344, 25595,
            10126, 15341, 94546, 83559, 26490, 97442, 64696, 31290, 78879, 87907, 88889,
            30090, 67229, 32314, 85007, 20163, 75987, 12406, 5345, 78013, 28603, 80114,
            51673, 72320, 75107, 95971, 47304, 43991, 97992, 43968, 34752, 71633, 32934,
            51100, 58036, 60915, 90026, 75647, 20249, 78278, 44476, 46906, 44204, 99253,
            38945, 38306, 55526, 99021, 72067, 75164, 29102, 83028, 91678, 99623, 57615,
            33171, 91235, 95604, 89636, 12208, 76569, 41830, 47700, 22801, 24704, 32716,
            59874, 36751, 21853, 89557, 12833, 85389, 663, 92044, 51761, 22360, 94250,
            36800, 10807, 92994, 22509, 55558, 14754, 70642, 25538, 49473, 805, 81502,
            46022, 38631, 95814, 41420, 62738, 23397, 13604, 34559, 5409, 53162, 8, 93662,
            27316, 30544, 5324, 90549, 47917, 41332, 11, 49981, 31173, 1474, 59963, 44867,
            97664, 65208, 56838, 21704, 15095, 94853, 25819, 39880, 64532, 22102, 45688,
            19805, 32017, 664, 35582, 36440, 81572, 37075, 47502, 86460, 47156, 34933,
            36537, 24518, 25442, 8821, 10894, 7162, 78632, 40158, 43679, 88028, 98092, 3370,
            87222, 6336, 54460, 20786, 39987, 14857, 55107, 7353, 16929, 36288, 17116,
            24406, 81171, 85178, 69791, 58513, 90010, 20296, 53243, 58832, 90650, 99940,
            75450, 55588, 96748, 32978, 63384, 20040, 69602, 70258, 62730, 59607, 16707,
            6356, 31599, 44879, 56643, 92996, 31759, 68289, 65733, 24002, 93126, 90727,
            92857, 69971, 19926, 9010, 81571, 39510, 66180, 55159, 26758, 11000, 78396,
            61955, 55942, 2422, 73249, 15925, 3468, 83068, 71181, 87174, 99347, 19546,
            97137, 19152, 45464, 27412, 77383, 80460, 90934, 36222, 20312, 31576, 5010,
            50312, 50751, 7328, 59758, 20893, 61433, 59039, 97766, 45381, 89359, 84920,
            62944, 4225, 40485, 85055, 82336, 16551, 97017, 9955, 27388, 42783, 26253, 3778,
            92540, 74430, 69500, 24708, 97081, 18985, 6876, 48087, 53812, 97030, 59681,
            49305, 40927, 17608, 94197, 11418, 42324, 28541, 76935, 6969, 13929, 11014,
            84457, 98450, 43763, 63917, 61693, 29471, 56334, 89986, 68715, 60126, 7247,
            50731, 73301, 67564, 20066, 81081, 7308, 54930, 19405, 77632, 22524, 19927,
            31849, 16666, 27018, 87116, 22642, 32853, 72102, 40551, 563, 90227, 74626,
            19350, 9693, 99639, 10436, 62911, 29005, 83674, 89951, 59010, 45723, 229, 52418,
            52699, 18779, 67099, 86339, 79567, 47716, 8932, 13355, 31025, 62197, 29364,
            84523, 2057, 27572, 27953, 74909, 4384, 73810, 54728, 12431, 3580, 87814, 4247,
            77301, 19734, 58341, 34410, 69112, 93041, 27075, 77293, 44342, 13458, 67543,
            12456, 87762, 17200, 61844, 14731, 72038, 1648, 94735, 37300, 62393, 43822,
            57531, 42314, 66234, 7673, 10734, 92244, 94650, 86666, 25487, 51794, 47805,
            69214, 13229, 37528, 29003, 98932, 12476, 58689, 16138, 18006, 99662, 38918,
            5600, 97438, 90988, 32610, 52816, 84481, 12514, 13127, 65683, 49868, 68321,
            4537, 25284, 69886, 16522, 78961, 16261, 73467, 37687, 94593, 61436, 31008,
            2849, 66945, 29885, 99852, 671, 26476, 23211, 68581, 54135, 12925, 38833, 94743,
            58318, 57341, 55548, 98778, 76990, 92445, 31043, 2349, 1363, 7099, 23253, 30733,
            13311, 21787, 3552, 75887, 91142, 7923, 93419, 59695, 44926, 26383, 31319,
            55831, 9412, 80787, 85191, 52058, 90674, 70089, 18317, 47210, 77542, 55356,
            35629, 44492, 26210, 8871, 63595, 17750, 97130, 85051, 76455, 35684, 84186,
            90730, 95090, 82068, 39492, 24295, 99705, 87008, 18314, 47547, 64082, 75178,
            46262, 32471, 62206, 60408, 93161, 1157, 85568, 84795, 40529, 15967, 91129,
            21781, 79246, 38433, 65490, 70899, 3590, 34523, 57789, 34310, 59495, 8004,
            48903, 73068, 34870, 30492, 79480, 75271, 82076, 86931, 7252, 30520, 60106,
            37683, 9331, 15339, 82928, 37110, 20855, 47635, 97641, 47188, 92789, 41368,
            15058, 49039, 25812, 43640, 25996, 75176, 27978, 4483, 68153, 80976, 39269,
            40614, 60245, 46843, 79250, 29152, 98308, 55395, 37771, 80604, 98472, 67514,
            87714, 30295, 17700, 29019, 44838, 73247, 9082, 95338, 1633, 90557, 74906,
            93485, 917, 61202, 45593, 77600, 88658, 47936, 19984, 1813, 48254, 92705, 74287,
            5484, 41158, 57604, 33441, 44783, 55940, 8563, 24437, 74366, 29703, 76293,
            52870, 57439, 30107, 67285, 17819, 61143, 74519, 6795, 81561, 69202, 96879,
            17560, 97402, 34872, 48098, 77139, 69820, 41890, 10844, 77527, 48706, 42501,
            90644, 17358, 28867, 68779, 32993, 45877, 39663, 13393, 24916, 90252, 2652,
            47085, 53278, 38224, 24524, 52114, 79788, 95080, 90324, 14495, 13169, 67230,
            8134, 64169, 69864, 57953, 39375, 77167, 77267, 69354, 83816, 17806, 11967,
            44179, 7133, 45001, 10000, 79740, 75919, 79786, 91078, 65233, 29258, 63732,
            50547, 51541, 24971, 70344, 8480, 29821, 12228, 36739, 95876, 76668, 83664,
            49540, 1321, 22367, 65466, 7548, 82394, 93734, 51704, 41689, 19915, 71673,
            26166, 58561, 26598, 70967, 83197, 29488, 27725, 89013, 15799, 32517, 87056,
            604, 34493, 76322, 94277, 79030, 12429, 88042, 81480, 10184, 34904, 87439,
            21480, 7576, 47529, 26771, 20900, 72940, 69617, 751, 55160, 86297, 38000, 9856,
            6623, 29013, 5957, 67789, 78641, 62018, 79123, 17820, 92181, 18522, 46329,
            97471, 15244, 69805, 30528, 17431, 17677, 57612, 37634, 14767, 35733, 21510,
            25139, 68452, 37059, 32558, 23854, 68373, 27902, 90021, 11745, 44817, 81162,
            87060, 57766, 20590, 82083, 66530, 88858, 80476, 42683, 24941, 94012, 18604,
            11558, 77668, 24778, 61018, 8373, 73830, 54230, 39422, 34537, 15587, 57769, 637,
            77763, 27684, 28397, 7149, 79925, 67123, 22643, 67759, 16167, 69451, 99409,
            84752, 72134, 11565, 77699, 13536, 97880, 44863, 26659, 56389, 16313, 88801,
            79964, 6547, 61708, 86682, 12521, 78482, 86167, 24152, 14620, 60792, 13151,
            34246, 73, 37375, 8556, 14403, 93007, 31216, 85607, 97833, 70880, 63784, 98559,
            49985, 13162, 24649, 48989, 99189, 86846, 97798, 16287, 45382, 64627, 11005,
            23170, 26857, 38823, 18213, 45039, 66800, 31015, 40892, 33610, 6254, 12127,
            42836, 6193, 20679, 75183, 69656, 19635, 79366, 6700, 30227, 13077, 11061,
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            24811, 98134, 25125, 65546, 92273, 18986, 62244, 73201, 16406, 1643, 84079,
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            20336, 45497, 24034, 96641, 58265, 58390, 98312, 63401, 1003, 3839, 85651,
            13021, 35394, 73964, 37430, 407, 74663, 12968, 47449, 44195, 57294, 71568,
            70244, 22645, 34547, 78943, 75549, 5050, 258, 70671, 70481, 56111, 54485, 89325,
            89730, 93263, 21901, 75925, 32052, 97742, 24521, 7, 42008, 96533, 62098, 35734,
            32099, 94871, 16651, 55187, 2554, 74949, 20699, 82887, 85408, 59080, 20224,
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            75882, 67277, 31282, 37404, 79139, 20420, 85069, 80247, 6176, 48993, 85026,
            16643, 38589, 25230, 69, 66756, 44993, 57609, 34411, 41893, 80600, 39602, 25480,
            85680, 54071, 837, 86247, 92545, 99894, 30648, 16489, 18187, 53468, 28501,
            12444, 41006, 91111, 42881, 17151, 91509, 91845, 71317, 25795, 32570, 13753,
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            40809, 61044, 15885, 42668, 38062, 14190, 26651, 86184, 72689, 70315, 86260,
            89014, 97789, 65040, 48783, 92019, 79269, 28328, 93162, 22068, 97865, 86556,
            31551, 12220, 9919, 46247, 34046, 40470, 68108, 81283, 37798, 48353, 43908,
            42146, 66892, 10446, 62176, 68262, 5608, 98286, 24567, 53635, 75311, 53295,
            70445, 27022, 14970, 92767, 72759, 25355, 57471, 17515, 21637, 18236, 92720,
            96108, 54953, 4634, 84406, 86602, 33198, 24724, 74736, 51884, 94313, 18061,
            95462, 62251, 25283, 5765, 42543, 95675, 23376, 18602, 47961, 17004, 55470,
            88933, 6920, 56585, 54846, 70018, 70294, 31762, 62443, 91464, 13494, 46021,
            69699, 5355, 2739, 69302, 22799, 33117, 80915, 1930, 61914, 71761, 15425, 98706,
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            64090, 71427, 70447, 93969, 92210, 44789, 33877, 69891, 12612, 82435, 28306,
            92781, 69414, 79705, 4654, 59142, 84591, 4901, 90421, 4927, 57939, 33122, 7653,
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            97926, 15515, 62030, 44782, 63496, 49801, 74335, 16933, 33952, 1460, 19000,
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            76029, 2400, 45370, 26959, 53060, 17743, 90625, 15019, 74780, 95230, 65205,
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            6952, 2419, 2821, 19070, 32518, 35951, 75778, 61376, 34387, 6564, 76149, 6707,
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            8891, 59174, 41013, 78724, 80256, 77607, 97918, 67316, 66741, 13670, 37636,
            24105, 15797, 80570, 32361, 27469, 91277, 80522, 97949, 86273, 56876, 43869,
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            40753, 20763, 95502, 13471, 91940, 55795, 51846, 19155, 34629, 19472, 63856,
            19270, 7647, 62478, 39434, 97972, 81320, 3149, 16573, 10340, 77180, 82628,
            91511, 88034, 54331, 19724, 90622, 27830, 98770, 62417, 98535, 70799, 6763,
            15366, 42788, 73584, 77866, 30345, 66948, 33809, 58530, 74129, 74788, 89331,
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            24042, 33616, 64067, 4720, 7123, 78899, 60572, 75083, 28639, 14196, 47739,
            77892, 20139, 50304, 47554, 37926, 8511, 88162, 61050, 30170, 23585, 69549,
            85358, 58285, 47727, 65489, 29155, 4308, 42276, 16788, 87840, 73645, 96893,
            84666, 37439, 10820, 6777, 78225, 1983, 4661, 34249, 49103, 52069, 50112, 45313,
            70195, 35291, 84532, 80569, 38715, 76068, 84987, 71650, 33497, 21363, 67596,
            17163, 60532, 93273, 52889, 69195, 60685, 72755, 59900, 58752, 14951, 4255,
            27764, 4448, 49397, 28646, 85175, 65581, 70418, 17926, 43726, 67368, 80910,
            36380, 68929, 74163, 10861, 16626, 87221, 13942, 72726, 74953, 39050, 30813,
            72880, 50978, 71925, 6215, 73580, 68522, 44644, 57647, 44241, 3565, 35140,
            28692, 91811, 93131, 4126, 95525, 26741, 28258, 55883, 97528, 26698, 23261,
            51568, 56291, 75514, 25046, 81245, 72860, 71737, 93428, 76558, 36445, 30494,
            83818, 89535, 94512, 1011, 48402, 16174, 52010, 57326, 58790, 55676, 59022,
            13198, 95131, 8955, 89412, 41573, 50431, 61235, 13179, 92347, 70503, 69931,
            61733, 25911, 29372, 97830, 19537, 75402, 8614, 23772, 20005, 91296, 95336,
            9325, 71110, 39757, 70887, 86207, 380, 80662, 80288, 6070, 58456, 94202, 46519,
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            95989, 56661, 92750, 84404, 77038, 89315, 28084, 64149, 18493, 81481, 21396,
            87395, 28578, 41400, 25062, 34123, 20099, 24820, 44128, 9406, 91865, 68172,
            20558, 20793, 63380, 29996, 94069, 43668, 50715, 87078, 29709, 29172, 92625,
            83511, 75104, 9504, 60455, 1892, 31926, 19118, 72949, 22463, 38050, 67383,
            39543, 50541, 4556, 62816, 58798, 75929, 98843, 92321, 90918, 86704, 11124,
            1306, 68592, 87800, 75290, 8712, 62875, 57250, 98522, 1235, 42698, 36644, 47689,
            26063, 52833, 78737, 39532, 54181, 22621, 20977, 38626, 20560, 5654, 15952,
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            74295, 35435, 14054, 99851, 18694, 57166, 95454, 35328, 15226, 396, 18811,
            71035, 16354, 15745, 98043, 7741, 35392, 34118, 6332, 83608, 47227, 26257,
            73074, 55158, 30451, 23246, 97590, 36418, 9310, 8418, 51430, 84304, 29880,
            41340, 13856, 30649, 40446, 91018, 8987, 5229, 99589, 14129, 80826, 18374, 8048,
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            93010, 47436, 64309, 44577, 75406, 47259, 61853, 74967, 28196, 83493, 96946,
            3650, 29115, 42380, 36392, 42463, 24486, 93944, 34292, 60861, 82761, 21488,
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            64451, 20304, 21452, 63634, 94714, 20246, 92879, 43473, 81540, 81185, 8927,
            47592, 54925, 49519, 60082, 75409, 22230, 62207, 24275, 68279, 56660, 59, 45921,
            40636, 28953, 36638, 64884, 52417, 15142, 86401, 33520, 44593, 35688, 27578,
            96682, 81407, 76679, 12864, 16359, 38161, 82946, 30779, 75814, 52400, 70492,
            50377, 43082, 39843, 26122, 34657, 36954, 57596, 50971, 15396, 33655, 87920,
            64502, 257, 40007, 22798, 64131, 52337, 7332, 44569, 45502, 80118, 20833, 61980,
            65943, 50329, 86344, 83186, 68849, 61947, 18605, 80312, 97558, 37413, 302,
            57643, 91929, 87797, 72405, 17673, 88482, 51319, 87127, 99939, 67755, 53639,
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            78291, 5015, 3063, 61563, 49602, 14214, 54628, 20471, 9092, 24142, 76281, 43445,
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            332, 29363, 40700, 92576, 56629, 31083, 3679, 96778, 95548, 8958, 50575, 93959,
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            21166, 27059, 51372, 60052, 91116, 5072, 53327, 63563, 72742, 61177, 82556,
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            48354, 94825, 50064, 59297, 3367, 29159, 94672, 76902, 16579, 77404, 69553,
            60655, 17281, 12131, 29864, 57495, 48397, 21863, 1774, 41077, 82169, 10270,
            7025, 73296, 54093, 21910, 39784, 67985, 5465, 20203, 32323, 61486, 70711,
            51443, 31242, 79373, 63533, 76447, 97234, 91624, 25781, 18286, 65785, 20861,
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            73276, 62582, 90253, 34116, 10434, 77530, 37699, 28571, 20384, 11710, 68206,
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            72196, 95975, 83625, 55713, 79447, 11502, 38158, 79528, 85067, 10693, 96161,
            40961, 40263, 48310, 63332, 35777, 72665, 42759, 99728, 78273, 12173, 95291,
            83235, 45545, 83928, 69002, 93529, 26626, 91212, 54847, 33109, 45205, 45938,
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            96362, 56686, 84717, 63425, 42732, 8617, 27605, 7665, 20307, 52445, 83920,
            55413, 78368, 90171, 88186, 24581, 37796, 1261, 7876, 88368, 26496, 88059,
            39964, 39759, 876, 29391, 20746, 2853, 94, 45755, 37109, 42191, 60672, 80517,
            55494, 69420, 97635, 22032, 14976, 85403, 30005, 57410, 47489, 1584, 5673,
            48154, 3514, 25981, 1620, 59042, 20327, 92266, 71209, 7654, 76852, 2719, 84644,
            26299, 61622, 89202, 64534, 62215, 95516, 75812, 59908, 74200, 73893, 44129,
            806, 81483, 96313, 99574, 31881, 46054, 36931, 71353, 4995, 98379, 84874, 71501,
            34383, 40914, 96759, 45393, 74974, 65958, 47441, 75375, 57161, 94954, 87896,
            55702, 7485, 29160, 74620, 40993, 50898, 75300, 23559, 50423, 43019, 50446,
            42232, 96449, 14608, 67416, 30424, 96871, 68636, 1975, 45037, 64659, 49948,
            89485, 9704, 61164, 20522, 5385, 4168, 37309, 45424, 44606, 88437, 45612, 42859,
            58463, 6121, 70945, 82171, 83567, 3849, 67275, 58651, 76417, 58923, 45782,
            60247, 59304, 51099, 3672, 80178, 78829, 95012, 74165, 93898, 91720, 72482,
            98028, 66946, 48075, 66663, 78917, 77534, 67647, 15183, 46853, 49777, 28400,
            85153, 29358, 91837, 37011, 14447, 35508, 36517, 96937, 48293, 81618, 88655,
            84660, 89962, 37695, 82791, 78077, 56851, 10854, 73965, 23794, 94877, 47889,
            62676, 46249, 95499, 89895, 83072, 88514, 94337, 53200, 35934, 25488, 30532,
            42791, 96541, 85039, 74818, 48179, 23750, 10856, 98757, 4417, 96101, 60095,
            11214, 74301, 57141, 39981, 30138, 20934, 29275, 4430, 81175, 55811, 34753,
            99789, 36518, 40999, 67040, 67573, 32667, 51086, 7283, 74852, 63605, 91026,
            29602, 63812, 43933, 95205, 90784, 35441, 94691, 73031, 69503, 19784, 59642,
            16807, 60477, 9113, 45153, 9328, 12855, 29538, 48999, 23717, 92855, 14712,
            57672, 3892, 13730, 34989, 40579, 22389, 1449, 36218, 26041, 65091, 92393,
            94616, 47165, 98453, 81662, 92136, 25368, 87314, 92657, 50290, 40566, 2816,
            48490, 53031, 19733, 20426, 5128, 25677, 84770, 99382, 27727, 25724, 46561,
            24607, 69096, 18989, 22175, 375, 39513, 30035, 47172, 86976, 63560, 11550,
            76661, 84742, 21876, 32567, 39060, 73774, 87743, 75648, 15287, 71847, 71486,
            72385, 51416, 5921, 30731, 86438, 43677, 1948, 62162, 80066, 33066, 39868, 7713,
            49784, 99829, 48156, 16383, 78333, 48627, 65218, 60429, 67109, 91232, 17328,
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            90071, 67548, 69799, 63114, 5724, 33547, 36787, 11621, 27786, 71279, 85777,
            70189, 16088, 88275, 50792, 14322, 96867, 75479, 10354, 71259, 89122, 66104,
            11125, 57256, 4290, 74951, 24526, 12336, 54537, 40783, 50079, 98112, 54400,
            56671, 91717, 96636, 10684, 80410, 17228, 19451, 49071, 61817, 29167, 15927,
            88357, 17850, 17982, 83844, 53486, 66451, 49101, 72780, 3341, 31333, 17310,
            88750, 33134, 99856, 35037, 65686, 47339, 95069, 7491, 50318, 71825, 69895,
            70388, 18546, 82964, 56483, 86431, 82966, 94212, 99942, 65011, 84019, 52906,
            33240, 52657, 661, 39766, 57465, 50913, 33229, 45972, 68358, 9531, 60078, 43157,
            66767, 30349, 55655, 15716, 81746, 84524, 2747, 21906, 22149, 15929, 93707,
            59498, 23206, 40329, 33540, 42616, 71705, 33581, 97428, 81218, 31292, 64206,
            23630, 82718, 63015, 11511, 73246, 79387, 45197, 69671, 62191, 17709, 23959,
            81383, 90063, 3135, 38449, 46291, 3646, 56937, 57622, 226, 29305, 10617, 5178,
            31621, 40699, 85621, 6056, 30939, 75979, 73970, 40733, 64085, 22471, 30581,
            23934, 11720, 1214, 25952, 19642, 49980, 22127, 23646, 28279, 92490, 69995,
            83104, 3855, 14072, 41654, 56428, 71339, 8590, 70699, 74627, 27587, 74854,
            33282, 55063, 92249, 89459, 86071, 70308, 20239, 9905, 26193, 70386, 61254,
            70185, 7197, 91551, 46713, 76272, 64926, 51212, 67288, 64809, 24246, 79969,
            88657, 9705, 93842, 13546, 78848, 86765, 50208, 14877, 52428, 76743, 65227,
            23234, 43083, 45397, 36828, 19769, 44605, 95411, 99248, 2140, 99920, 18209,
            93337, 47632, 19695, 12399, 46828, 96435, 10970, 83178, 38332, 7402, 41619,
            8216, 17173, 94586, 71785, 648, 43233, 95261, 81423, 62221, 52394, 37376, 256,
            98549, 54964, 29809, 98842, 2601, 94744, 42984, 34510, 80349, 5704, 2018, 29786,
            70928, 93513, 57586, 41772, 48470, 96566, 69039, 42460, 86254, 17679, 55640,
            10945, 3231, 26116, 91986, 98768, 79176, 93558, 42395, 93020, 1175, 63463, 4128,
            65455, 89245, 69898, 52781, 85029, 25272, 26968, 32741, 3628, 28919, 47096,
            54069, 23808, 31580, 31074, 38387, 70588, 10893, 62537, 73940, 83496, 11509,
            94964, 60405, 9524, 62146, 12703, 29583, 39793, 94155, 37336, 75623, 32546,
            35765, 4705, 24188, 35789, 30759, 22758, 23830, 98114, 17036, 46517, 34175,
            55634, 93670, 28285, 28228, 67393, 70311, 41919, 90474, 20087, 13116, 9896,
            82137, 50795, 61888, 5715, 37334, 34836, 48341, 38299, 38311, 46629, 65280,
            90209, 5721, 34028, 31628, 82683, 53233, 79077, 50128, 85764, 94218, 85609,
            44422, 31929, 61128, 84305, 21537, 45407, 22619, 81166, 18990, 14627, 57213,
            28215, 9837, 75186, 82341, 94683, 46011, 85687, 89211, 68062, 97026, 99996,
            22459, 12915, 80474, 5138, 33937, 98030, 88666, 20481, 25369, 79167, 17398,
            39003, 13688, 78407, 73193, 40171, 8581, 75593, 97531, 71657, 41908, 75469,
            41615, 9241, 51906, 70160, 91042, 87431, 15374, 57340, 46801, 16100, 87192,
            24017, 89940, 44298, 54323, 21578, 55617, 81877, 7466, 53683, 63272, 86022,
            93224, 5882, 60091, 99206, 96991, 12535, 39999, 96906, 14250, 48977, 57813,
            93343, 94016, 13682, 76795, 6323, 98454, 42392, 22017, 49537, 12106, 70515,
            14331, 11958, 50636, 79265, 88038, 29726, 22833, 46516, 9274, 84024, 3512,
            17330, 23155, 79130, 79639, 5437, 18939, 78120, 29286, 63445, 97329, 21135,
            94460, 24720, 68955, 56174, 87984, 60624, 20945, 4723, 60269, 71787, 16353,
            29577, 67216, 31301, 2069, 74330, 96902, 98376, 18692, 61384, 39063, 25327,
            93487, 48398, 32873, 93055, 4644, 10054, 36035, 22039, 20341, 38277, 28858,
            13540, 77300, 1918, 80214, 44048, 19452, 17691, 21987, 10182, 76706, 17607,
            45892, 67910, 63187, 85388, 24555, 10121, 80160, 49336, 45245, 40906, 7221,
            30630, 2137, 56753, 62446, 53513, 80192, 25186, 73018, 16751, 6702, 10822,
            75449, 50900, 41804, 42041, 90099, 94801, 35062, 74179, 2860, 824, 47898, 53429,
            24361, 90947, 9337, 97330, 25837, 77412, 93945, 38620, 70900, 84191, 44431,
            39053, 14925, 71330, 16724, 76750, 17577, 11448, 79049, 77323, 37318, 52278,
            39219, 65925, 94422, 41641, 60821, 29476, 49133, 74293, 29673, 10762, 23566,
            29862, 90120, 10362, 83280, 98048, 28557, 51601, 20379, 18674, 21897, 68945,
            39723, 5148, 84639, 32337, 65257, 6150, 98193, 25866, 38301, 93260, 69607,
            37103, 84321, 97278, 58673, 99714, 73303, 20024, 3058, 4244, 63770, 63875,
            91255, 11357, 89139, 51824, 96838, 85095, 36122, 51098, 92877, 46347, 54926,
            38732, 58991, 69534, 32708, 22341, 40656, 31655, 29733, 40929, 39255, 94085,
            64026, 77490, 1769, 31262, 33446, 30708, 14110, 37085, 16320, 30458, 27079,
            92517, 8749, 44330, 98528, 46051, 31709, 67995, 37865, 78142, 96326, 44294,
            33298, 81878, 22453, 20701, 22671, 78843, 31331, 92604, 28660, 81529, 2016,
            83736, 83144, 11595, 26128, 55340, 61508, 27356, 10671, 89408, 15011, 92447,
            62856, 56514, 52469, 14673, 1251, 65061, 7366, 5306, 6786, 64921, 44218, 27430,
            69127, 88585, 92538, 93714, 51255, 58976, 61034, 15104, 47510, 74031, 95949,
            21065, 84772, 99249, 85945, 88976, 72611, 62052, 61596, 38143, 9286, 93468, 931,
            44198, 57809, 97143, 46907, 88142, 32062, 71435, 79815, 53047, 74513, 14022,
            70578, 69750, 86941, 57006, 71143, 41001, 57422, 87857, 76821, 35694, 19972,
            4219, 24385, 76456, 52726, 54095, 99683, 4345, 71049, 78078, 98153, 92431,
            69742, 50093, 92701, 1300, 93661, 73703, 96831, 15354, 38799, 44823, 4872,
            51926, 29593, 43951, 79385, 24907, 65842, 65984, 45410, 76395, 16502, 23192,
            51494, 77406, 7774, 32014, 52303, 13027, 34223, 38442, 68990, 5637, 72837,
            31032, 6867, 32248, 83681, 65084, 44295, 54863, 34344, 14082, 87799, 56872, 940,
            35901, 69899, 35106, 32221, 74377, 80678, 72257, 21052, 29296, 52244, 24674,
            57765, 83360, 68979, 38606, 92091, 45286, 50616, 52385, 37838, 49078, 54618,
            91180, 73802, 29269, 25820, 72298, 63733, 27497, 85363, 61043, 68060, 47410,
            51660, 51169, 74389, 17000, 56729, 10335, 95016, 2973, 14243, 2566, 13488,
            62149, 74699, 37193, 5108, 80309, 85681, 18554, 30190, 60235, 52195, 92133,
            15068, 88003, 89309, 80777, 92017, 4472, 3518, 38634, 63168, 93094, 32428,
            72631, 66330, 8930, 29091, 20047, 66325, 58860, 22623, 64076, 24797, 11165,
            47984, 30972, 90119, 70731, 93139, 14438, 51347, 68707, 98724, 91557, 94090,
            5593, 98072, 57103, 68824, 91123, 75688, 31467, 37386, 17342, 1902, 96430,
            21128, 7703, 5630, 516, 55059, 75636, 25158, 33324, 309, 88930, 98013, 78799,
            44794, 89980, 37388, 9042, 7447, 88763, 83007, 32913, 34565, 52754, 63236,
            80381, 20414, 95199, 98123, 61775, 86755, 74524, 20, 26788, 58864, 6951, 60280,
            86718, 44148, 92319, 57020, 37453, 62302, 90161, 38345, 48252, 69752, 98597,
            74848, 42838, 47140, 99378, 198, 19970, 57038, 64239, 3003, 60606, 12383, 44515,
            33722, 59746, 5321, 6990, 27012, 93564, 6936, 31183, 68191, 88508, 73399, 79516,
            61051, 64948, 66460, 38901, 68059, 66119, 39009, 77279, 80840, 45291, 20265,
            45822, 36834, 67517, 5456, 84817, 75956, 75500, 9035, 39724, 40695, 29949, 3734,
            59233, 56315, 91962, 75734, 34323, 34170, 59316, 11223, 45949, 37874, 1995,
            35152, 33232, 92078, 65798, 73693, 67107, 16563, 55819, 55385, 55591, 7208,
            13365, 19223, 55446, 77683, 90329, 63025, 80117, 96579, 19196, 63647, 69394,
            8378, 4966, 18386, 25712, 91207, 46455, 72574, 17601, 79190, 15982, 4224, 31060,
            39224, 14595, 84468, 26922, 8225, 81816, 45846, 60295, 40943, 15034, 67209,
            97151, 32242, 56796, 49213, 34365, 48787, 57048, 51965, 79118, 15210, 70569,
            90525, 86694, 57190, 97165, 89647, 92213, 92979, 27390, 48596, 22347, 51038,
            99450, 53384, 84138, 89362, 98986, 52664, 34732, 6434, 42736, 90147, 68708,
            28845, 37715, 43547, 68021, 72186, 5873, 79883, 1408, 53171, 23645, 37857,
            75525, 21279, 67341, 20981, 31693, 55663, 93809, 91416, 30595, 23765, 19151,
            26291, 80302, 38712, 61218, 47555, 38289, 297, 73418, 34274, 74637, 5705, 80443,
            4513, 74164, 53545, 57657, 99245, 52042, 50373, 94039, 55249, 71065, 2858,
            48522, 67184, 36298, 12321, 37628, 38249, 8451, 87958, 19093, 47894, 13104,
            6562, 8916, 95119, 328, 38595, 58071, 51940, 49185, 37117, 95784, 5777, 41494,
            5334, 64, 54698, 77049, 37766, 25101, 77088, 37285, 37164, 51480, 67484, 67034,
            48725, 65565, 93198, 11461, 84704, 869, 73553, 36761, 43323, 30588, 80331, 3046,
            69807, 26870, 79494, 7748, 50641, 81309, 64478, 14594, 32531, 29838, 64186,
            58810, 66421, 53002, 59598, 93727, 42950, 27428, 93575, 85997, 80982, 73116,
            905, 36600, 85021, 97318, 75668, 16459, 10160, 61286, 37815, 59126, 36904,
            78544, 66893, 67862, 27770, 84203, 19280, 32257, 87902, 36849, 61745, 14560,
            71141, 53998, 15866, 6878, 7641, 32744, 78800, 55026, 61038, 36710, 1531, 65394,
            87611, 14948, 78162, 68325, 66471, 4593, 61239, 30239, 31632, 34264, 17191,
            52048, 79378, 80677, 57415, 38349, 78526, 96549, 73881, 8133, 73666, 23769,
            19232, 44853, 48376, 50134, 62982, 61939, 39887, 29710, 91881, 98067, 32643,
            49189, 26730, 48829, 76709, 46760, 44201, 38140, 80334, 69468, 92018, 6100,
            21370, 94904, 36055, 48810, 95753, 10422, 38103, 13796, 89158, 64609, 88965,
            42514, 29313, 67904, 62056, 7244, 14962, 35160, 5436, 65487, 97563, 83952,
            57303, 29075, 62383, 53808, 5991, 84767, 6394, 89036, 40101, 29760, 15125,
            89813, 63728, 16111, 79186, 30434, 7213, 90835, 66665, 89264, 66970, 75551,
            62307, 43899, 33372, 93584, 33093, 24258, 65481, 15875, 9978, 30603, 12370,
            51193, 40377, 57021, 77040, 48389, 14031, 9232, 91316, 85207, 4190, 54625,
            43372, 41061, 67434, 93743, 43935, 66744, 78341, 7200, 39640, 89579, 90065,
            63431, 20733, 35656, 9595, 84100, 17971, 80945, 40862, 41637, 67717, 63638,
            54159, 98624, 95395, 52094, 83956, 62194, 40356, 3559, 54975, 50427, 21857,
            47672, 3148, 10573, 96595, 17158, 90868, 9268, 76466, 17436, 94660, 70440, 5906,
            42103, 47310, 40831, 20032, 12995, 90240, 78534, 6970, 27567, 22045, 62951,
            41591, 65658, 49148, 13222, 83570, 33423, 7583, 93168, 13973, 65535, 13125,
            5560, 12866, 54016, 32051, 44084, 86404, 61474, 28207, 90138, 25905, 48060,
            42454, 29257, 12820, 22533, 5020, 69781, 95945, 90005, 35330, 13, 23966, 78569,
            82145, 16326, 50388, 49864, 83532, 63652, 86522, 49349, 37089, 70716, 13754,
            35010, 8539, 87270, 7938, 20776, 66645, 57514, 4825, 62770, 98297, 47839, 1619,
            2259, 29012, 48059, 67617, 41064, 11203, 94213, 73579, 39503, 6545, 27588,
            38522, 83542, 97728, 4489, 85123, 20700, 40090, 95768, 92555, 55371, 66979,
            99123, 80898, 54710, 60972, 40038, 10376, 23997, 12607, 71583, 37056, 72802,
            17867, 84986, 24844, 97562, 56391, 16899, 55783, 90528, 78782, 80756, 13199,
            9000, 42880, 68490, 5917, 47031, 79028, 43739, 76632, 53597, 43081, 11030, 7610,
            4700, 3, 41942, 74100, 14080, 2126, 60996, 60691, 92995, 58017, 28678, 21679,
            91002, 16156, 61064, 51767, 39827, 10117, 75275, 29908, 68143, 53697, 56084,
            20437, 26956, 52060, 20816, 83980, 63684, 17470, 89941, 10793, 11006, 21611,
            17390, 27996, 36455, 64860, 14703, 30547, 56244, 91806, 89797, 22967, 12885,
            26485, 50852, 64741, 19832, 21702, 84697, 56870, 57336, 7508, 72012, 18448, 70,
            37135, 89191, 9616, 24198, 55952, 87832, 26572, 67963, 61880, 36536, 93392,
            79260, 76458, 36102, 34075, 49768, 64835, 2363, 79547, 61814, 41083, 93188,
            95485, 64867, 69360, 64147, 39505, 74070, 29547, 60790, 57072, 9278, 41117,
            24537, 46059, 39824, 89633, 68047, 11301, 49929, 72931, 55020, 3310, 90318,
            50652, 70087, 12548, 29836, 21270, 66042, 45857, 9936, 21507, 17516, 64037,
            85756, 12073, 98000, 34094, 916, 87843, 16101, 17509, 54772, 24601, 70135,
            40428, 86311, 16741, 56089, 19079, 74099, 66347, 76218, 58674, 51518, 81004,
            2656, 2545, 66093, 17555, 48150, 86680, 16229, 1646, 17206, 97520, 71169, 51113,
            79509, 56828, 25957, 74095, 51612, 50070, 18152, 96499, 67476, 41797, 58275,
            74997, 53745, 78066, 63243, 7164, 95905, 29506, 36011, 34300, 25011, 8287,
            26346, 94441, 29527, 37436, 79009, 43481, 42846, 23968, 42997, 37836, 22733,
            74537, 60846, 35375, 61861, 12695, 84148, 56633, 21499, 45224, 49648, 34745,
            82139, 17918, 44791, 93455, 27063, 42097, 10433, 6889, 78056, 18497, 90317,
            16096, 18580, 62746, 791, 62235, 17360, 76967, 84278, 47181, 55685, 21463,
            83832, 32390, 87775, 11857, 75633, 98446, 24779, 10641, 79531, 59595, 87032,
            8981, 95408, 91476, 85933, 69294, 95192, 77468, 11306, 26525, 42681, 80090,
            70348, 85070, 89606, 14186, 73706, 47755, 94817, 96820, 59377, 86218, 63069,
            35391, 94936, 59688, 45760, 45160, 75609, 62997, 34535, 15318, 43353, 52541,
            36791, 42982, 58271, 42858, 38658, 97033, 60707, 34288, 44356, 83071, 20454,
            22410, 60862, 7409, 82114, 11227, 4166, 6731, 48981, 76863, 57884, 21034, 46167,
            33292, 55647, 62708, 97683, 77221, 87697, 21961, 44960, 81615, 71, 85739, 10896,
            91696, 55944, 62813, 30279, 99214, 89204, 22612, 19691, 84176, 66603, 58861,
            44971, 66937, 14606, 24722, 16300, 20904, 14378, 79377, 76947, 1242, 63670,
            63590, 91629, 95560, 13559, 55660, 82082, 3467, 44302, 86295, 94374, 98764,
            1731, 98037, 227, 83374, 28218, 9652, 18136, 70707, 43367, 72694, 26088, 48873,
            2961, 33799, 2249, 75278, 13115, 86807, 49209, 85967, 65164, 45537, 98058,
            35888, 27248, 79946, 73984, 49330, 91971, 53540, 8015, 2983, 85491, 9562, 27917,
            11228, 50123, 71964, 36117, 47234, 26181, 16672, 74153, 27915, 99568, 21285,
            19745, 53703, 90358, 1575, 88268, 10296, 36814, 19684, 29531, 26690, 25331,
            74816, 82583, 15507, 81814, 85490, 68297, 72128, 91926, 85412, 64441, 28419,
            54244, 29507, 9680, 65564, 72090, 61481, 93328, 1586, 16020, 73838, 88363,
            69998, 24632, 91613, 96842, 33047, 97325, 51438, 62370, 98856, 5792, 15111,
            57770, 33342, 79247, 15877, 75002, 18608, 15561, 49267, 80765, 57699, 33826,
            98036, 77405, 11898, 83163, 28562, 52521, 27472, 8850, 10674, 44689, 92556,
            83424, 21232, 1720, 10079, 1416, 33347, 56342, 45793, 82817, 7538, 65616, 77373,
            62247, 29411, 19395, 96699, 5973, 56972, 90148, 42557, 34040, 73505, 41346,
            32586, 28611, 25030, 89754, 27913, 81645, 11764, 83365, 38602, 90032, 93090,
            19360, 78102, 46637, 34070, 95505, 88085, 48957, 36956, 92541, 53130, 2195,
            9778, 74828, 85418, 92110, 85827, 6885, 58075, 140, 24637, 53165, 98025, 50531,
            66659, 51090, 3997, 95187, 26014, 77147, 42435, 45554, 54621, 17299, 48450,
            29915, 16132, 74697, 66520, 12080, 9438, 40056, 53614, 71221, 18107, 39872,
            1435, 36986, 85717, 24156, 99338, 62070, 96615, 47710, 4805, 38511, 87705,
            42746, 11625, 24538, 44386, 42398, 26101, 19031, 80155, 26096, 67992, 91329,
            69350, 81047, 6881, 98889, 26676, 83533, 75360, 84376, 6421, 80874, 93351, 215,
            15666, 93823, 10837, 59943, 53083, 94520, 12205, 60600, 95468, 89924, 76058,
            40844, 89906, 78699, 94400, 71599, 10864, 87183, 42659, 8763, 37154, 31458,
            99073, 61330, 78234, 55525, 64327, 11947, 79689, 103, 83275, 23138, 37104,
            52005, 29558, 70795, 30086, 38474, 24689, 71005, 54120, 5025, 62840, 54432,
            3074, 66552, 22310, 87588, 70757, 65663, 15653, 85630, 36553, 65940, 6359,
            99234, 95225, 44599, 87572, 88667, 30617, 21715, 1246, 17227, 72946, 20219,
            91310, 52044, 43043, 81276, 99778, 53965, 36982, 79344, 15293, 63144, 12253,
            30390, 99730, 11443, 10563, 38037, 41813, 80818, 7782, 11020, 86475, 54726,
            17050, 82544, 13640, 9062, 91288, 98796, 36721, 2392, 96013, 62343, 77773,
            39770, 48641, 80888, 95632, 85413, 94302, 72483, 63502, 96210, 30471, 7159,
            3706, 74041, 56415, 27053, 30286, 69590, 61101, 78676, 23913, 99162, 19047,
            38603, 98322, 9318, 82078, 40815, 68248, 4439, 27931, 34098, 92140, 24634,
            31011, 84135, 74946, 41177, 94417, 31556, 54581, 9460, 10772, 43652, 27004,
            12348, 84763, 70923, 86212, 424, 99689, 75316, 27435, 12993, 13038, 20408,
            25797, 8237, 4914, 61571, 71511, 33360, 73977, 18449, 81503, 62425, 55672,
            61968, 47290, 22210, 43448, 74629, 40704, 75468, 59889, 73346, 21833, 8847,
            83464, 99958, 54198, 1771, 85711, 64440, 53565, 19239, 21762, 71144, 90067,
            72080, 34026, 14400, 43198, 83891, 69543, 11255, 26573, 36728, 69858, 42623,
            38470, 43217, 79004, 46918, 69234, 33913, 95198, 23381, 82734, 98050, 82006,
            12276, 97877, 73879, 4073, 65973, 75556, 71163, 23789, 46007, 62449, 19572,
            91880, 97541, 12698, 8661, 56774, 37878, 24210, 49940, 51938, 83651, 3161,
            54023, 75931, 60627, 44147, 25569, 75810, 83043, 5043, 60750, 4908, 27950,
            24297, 17572, 96124, 99399, 58717, 21218, 3426, 55755, 94230, 51349, 90035,
            46996, 11686, 36574, 56452, 78173, 8989, 77460, 37132, 35444, 73439, 19627,
            4459, 45777, 40505, 66265, 32848, 98475, 83130, 1752, 35091, 95122, 48311,
            74447, 43500, 64170, 56373, 27213, 25025, 78689, 4122, 47023, 73231, 42379,
            32296, 58395, 71276, 51678, 46570, 37058, 34698, 9840, 7767, 72892, 50409,
            22536, 41379, 49190, 58932, 96647, 12364, 20790, 21010, 17738, 43493, 67466,
            17394, 68092, 50398, 13782, 80763, 69219, 86922, 33209, 78660, 24028, 77140,
            369, 72587, 69385, 53273, 82153, 77120, 15303, 21746, 36048, 71401, 499, 36987,
            98004, 255, 758, 75606, 41086, 84157, 61402, 19836, 49523, 94597, 48010, 69833,
            26982, 99627, 94333, 87803, 53109, 31841, 25003, 97619, 9122, 10377, 48130,
            6035, 8294, 62918, 83545, 71398, 36042, 266, 21467, 97896, 48603, 23058, 29956,
            15851, 62100, 64560, 41981, 71733, 49923, 18024, 6449, 26247, 40655, 9385,
            49910, 77707, 8069, 83884, 20012, 98625, 5202, 90993, 57634, 13217, 41869,
            84847, 97912, 29245, 27041, 19768, 79554, 18021, 8717, 71196, 83195, 14296,
            11052, 47428, 98959, 35407, 34399, 18303, 75085, 39108, 85848, 76946, 58821,
            20841, 45294, 16755, 34258, 60338, 29620, 8691, 89806, 90601, 21875, 46975,
            85951, 70532, 18387, 6384, 48647, 77423, 48437, 42535, 9853, 78496, 16253,
            14524, 6621, 94822, 88359, 75618, 689, 73932, 41755, 80074, 90954, 30790, 77964,
            93375, 15190, 37434, 26950, 48062, 29721, 20412, 74510, 73564, 84827, 32446,
            89662, 27476, 72039, 33851, 72351, 62930, 35348, 38609, 89227, 69618, 34555,
            47399, 66728, 95032, 41888, 78163, 18125, 65823, 88624, 98861, 27817, 64501,
            64827, 51183, 37873, 73357, 6658, 75761, 10246, 18325, 16334, 65388, 35839,
            75602, 48019, 72069, 71385, 79031, 3525, 87228, 98268, 575, 66605, 21791, 92226,
            45433, 58240, 67650, 35235, 19024, 47196, 87369, 29057, 54968, 5760, 58290,
            81731, 6945, 65337, 7381, 4918, 10424, 54654, 80742, 3537, 47313, 5755, 28161,
            2558, 79540, 76295, 86620, 71093, 26555, 35575, 34157, 61349, 49264, 42874,
            6480, 77965, 42821, 32382, 29859, 59841, 61974, 71803, 51267, 86684, 98105,
            10800, 52462, 83438, 63505, 3501, 16774, 17773, 241, 35188, 63876, 9588, 55966,
            57656, 24742, 70750, 30582, 3638, 56344, 43021, 88908, 90471, 26833, 72828,
            49299, 53374, 61082, 93970, 31634, 8585, 81411, 16446, 1941, 43286, 43643,
            99398, 92450, 14161, 97750, 73135, 7080, 87405, 37656, 73815, 82029, 39347,
            70464, 98731, 4776, 21498, 59896, 33728, 47032, 13184, 39526, 68307, 98489,
            4786, 32802, 12861, 85844, 60772, 26538, 41625, 97259, 76881, 64064, 98141,
            37365, 89918, 17256, 2406, 75, 30918, 57036, 59235, 70643, 73328, 50209, 5658,
            63967, 81544, 5096, 60717, 19030, 24938, 79963, 77615, 6940, 506, 22759, 86296,
            21142, 851, 72284, 55212, 81681, 19812, 17285, 88473, 99453, 55504, 46368, 4994,
            7956, 89807, 44238, 46158, 56025, 7272, 76475, 72335, 8605, 32056, 14242, 15968,
            81766, 37860, 75766, 90847, 46719, 2598, 30182, 27330, 99111, 68099, 4309,
            42458, 21795, 64610, 10342, 55436, 81703, 58484, 21444, 64987, 76371, 54691,
            72853, 17168, 71563, 88744, 86521, 67867, 60449, 88129, 33274, 14755, 63029,
            19100, 39414, 88113, 48004, 28714, 20774, 17579, 50443, 29220, 66068, 18617,
            87702, 92945, 31898, 98699, 90049, 73200, 21959, 31652, 82751, 55631, 5518,
            45164, 37928, 26752, 59626, 1196, 6364, 61978, 79114, 54468, 47723, 84318,
            58749, 16865, 94394, 30884, 95390, 36370, 68571, 88279, 98873, 22109, 35460,
            44500, 23491, 53148, 77793, 66037, 12890, 14665, 15930, 94676, 56668, 73582,
            70782, 77776, 93619, 14338, 94549, 98133, 39329, 24853, 56273, 80013, 67552,
            41135, 40926, 19975, 70565, 15440, 93002, 29550, 50462, 6630, 41184, 26530,
            34500, 29701, 13632, 12210, 28290, 75080, 36465, 86130, 95832, 81418, 86530,
            55911, 42144, 90652, 83605, 41089, 19618, 12899, 19566, 75650, 28379, 41866,
            87809, 34471, 46527, 92861, 32022, 7295, 83969, 18267, 86644, 84831, 91674,
            26919, 80502, 19574, 15454, 24623, 15387, 58985, 35803, 4272, 83781, 32005,
            48839, 39601, 61334, 73568, 61676, 29604, 29447, 69969, 84903, 2778, 1861, 7525,
            83167, 52762, 72943, 10789, 7550, 78565, 28835, 30760, 13925, 46162, 9633,
            36385, 35939, 38586, 81918, 85875, 47125, 41675, 85020, 63439, 67006, 15759,
            27538, 7240, 93359, 12011, 63169, 41296, 26588, 8907, 62766, 22530, 34712,
            90039, 51779, 60090, 52826, 72220, 3842, 84511, 19482, 90059, 25120, 45411,
            62067, 96573, 61951, 16421, 10679, 27048, 31921, 48242, 14120, 6405, 59773,
            76823, 50586, 13019, 50002, 55126, 58186, 11811, 91804, 70618, 63706, 67693,
            14876, 86813, 40633, 85429, 19007, 53522, 48884, 52850, 22677, 39153, 13724,
            2544, 72272, 45562, 78240, 28701, 47430, 85234, 51961, 74403, 73375, 95901,
            27323, 60936, 16876, 85723, 42312, 12182, 46362, 34437, 18498, 25348, 85057,
            9870, 94957, 61215, 40255, 72681, 37706, 67870, 6018, 83067, 10678, 6000, 69552,
            51133, 22600, 38264, 32648, 33374, 21050, 25940, 36868, 10047, 33994, 38241,
            19465, 40619, 11080, 10774, 51317, 53846, 23364, 5008, 22132, 98126, 71260,
            68947, 87510, 76585, 80426, 64681, 85172, 54456, 9410, 41464, 16596, 31427,
            68167, 44394, 65006, 53215, 97841, 52117, 43180, 44061, 25491, 69660, 66815,
            25328, 94002, 19122, 13086, 10519, 23697, 10420, 57997, 22352, 4323, 49653,
            20771, 43406, 44172, 1022, 5058, 11618, 69059, 30994, 97040, 2149, 20787, 12807,
            93014, 94184, 66960, 72850, 81493, 91290, 47732, 89668, 81518, 37091, 54796,
            38461, 69407, 24583, 11011, 26131, 59704, 50146, 96360, 42360, 25532, 87331,
            52674, 78976, 33597, 32103, 73058, 88786, 64052, 13926, 16699, 17669, 29356,
            18229, 83398, 73386, 52217, 47213, 84426, 18793, 33224, 54674, 49010, 46238,
            55555, 44261, 52675, 67579, 16072, 19628, 99767, 65346, 50278, 81243, 88697,
            65793, 37772, 73012, 94329, 838, 29122, 1379, 85999, 13475, 37947, 25619, 22853,
            54613, 94557, 91236, 67084, 65890, 41348, 81322, 51667, 48507, 26929, 74059,
            39256, 13790, 39792, 79541, 47825, 18717, 37174, 32770, 89696, 80465, 11122,
            4551, 12133, 73233, 768, 19876, 72175, 1224, 1681, 50088, 27795, 96911, 35972,
            25550, 37570, 64222, 77709, 69948, 77513, 87654, 74356, 34974, 46727, 68203,
            55035, 38929, 84756, 17843, 62220, 72423, 289, 27411, 1079, 54648, 58006, 17363,
            40094, 84030, 53537, 68088, 52002, 96781, 23515, 7027, 51504, 55522, 8980,
            60977, 99149, 44040, 26942, 86268, 32632, 91701, 64420, 51991, 46575, 15174,
            55801, 25665, 68091, 35359, 69072, 34043, 93680, 65635, 60404, 61645, 28417,
            69632, 5602, 63756, 96531, 96084, 48594, 20817, 5478, 58984, 13809, 49149,
            75732, 99470, 2988, 60296, 58560, 36746, 57759, 1430, 85550, 5154, 84551, 12339,
            24793, 56284, 80083, 85529, 83204, 56305, 1879, 68164, 99798, 60172, 1117,
            91559, 77800, 41187, 6672, 84687, 62535, 96617, 67172, 204, 44368, 16104, 6326,
            74899, 46074, 73134, 10813, 59636, 83752, 82549, 3864, 10908, 38870, 30336,
            61366, 82377, 5268, 95432, 80020, 82119, 68973, 17033, 16196, 89768, 26357,
            79014, 12858, 94719, 6487, 50104, 52592, 25566, 97941, 37351, 50757, 89368,
            31416, 16307, 64929, 14254, 45439, 40679, 85398, 12279, 39909, 35583, 27268,
            82081, 12972, 76220, 41148, 17835, 31560, 39376, 50010, 56074, 81951, 17188,
            96154, 37607, 98170, 10581, 9557, 66844, 91665, 54932, 40451, 85106, 97124,
            4018, 52992, 27352, 64822, 39512, 51030, 19438, 36031, 93009, 713, 23708, 73359,
            84393, 74821, 33715, 593, 25867, 31565, 13490, 56071, 61199, 68972, 62532,
            85814, 30256, 74002, 71532, 50837, 7658, 13374, 27068, 64330, 34818, 13018,
            46529, 94372, 45261, 69509, 95020, 52943, 58065, 99256, 66221, 20601, 23964,
            71878, 64593, 82595, 1843, 91675, 36943, 21056, 91285, 80980, 88489, 94554,
            58521, 63193, 49530, 97656, 16042, 26003, 27318, 56644, 89738, 64070, 71683,
            67510, 59014, 59388, 76838, 68749, 33815, 58436, 50830, 16906, 62049, 82409,
            36309, 29293, 84953, 24956, 65167, 64522, 99989, 18563, 76918, 2815, 97044,
            3829, 19621, 87084, 73488, 230, 29119, 15504, 35228, 65185, 39355, 53820, 64925,
            96314, 55412, 16285, 76392, 30416, 82253, 98628, 55759, 64297, 49660, 6865,
            18624, 47009, 81082, 11670, 83517, 25109, 17551, 8941, 2141, 87440, 82591, 1006,
            27539, 77142, 57611, 58687, 68550, 30445, 47819, 94770, 85783, 53104, 81632,
            23335, 71548, 27907, 72903, 75314, 70216, 22527, 88054, 33214, 72879, 52514,
            76063, 80733, 64625, 40821, 92003, 3935, 2794, 64600, 67301, 60511, 22328, 6304,
            80094, 50475, 59406, 31158, 44756, 99731, 16782, 32256, 39372, 4065, 30959,
            88916, 30224, 56905, 55766, 13915, 44494, 150, 58782, 76944, 53939, 95534,
            86069, 13146, 11718, 62255, 62662, 37767, 10407, 61749, 5960, 3066, 85715,
            61589, 45687, 23953, 69672, 89711, 50050, 20474, 52628, 85465, 28482, 15764,
            53176, 55771, 92733, 1576, 66610, 89271, 85103, 61722, 80812, 95581, 24432,
            82668, 15332, 17104, 46587, 6154, 22781, 12128, 922, 13268, 10228, 14218, 88635,
            27695, 41237, 94503, 10274, 68422, 65161, 24495, 39596, 43505, 44765, 34844,
            39447, 30462, 91388, 89583, 92371, 87918, 11846, 22638, 91565, 71377, 77698,
            25686, 74689, 40299, 85328, 84330, 50447, 10939, 68748, 62047, 95312, 94634,
            82707, 91075, 57071, 6572, 4801, 37534, 56470, 48591, 40895, 22591, 87781, 4026,
            93966, 6767, 94289, 82249, 61821, 12918, 45350, 23543, 18802, 80958, 47422,
            66632, 21386, 88761, 74915, 51278, 22991, 3928, 38808, 47513, 96644, 3901,
            45743, 12487, 69782, 61345, 55758, 48649, 72672, 12705, 43256, 67621, 67831,
            24969, 72835, 7800, 56099, 40257, 68742, 15531, 23859, 2033, 66264, 66626,
            64250, 87196, 90634, 28233, 22540, 43515, 52343, 80596, 10094, 73816, 20792,
            32852, 90149, 20063, 7967, 8045, 17279, 17198, 40472, 64635, 86264, 31207, 4226,
            78802, 31115, 17586, 99075, 24482, 43153, 38832, 96296, 59682, 27453, 22657,
            10572, 73163, 34717, 39676, 23505, 22211, 18728, 23334, 5725, 96075, 76227,
            48546, 75727, 55610, 69010, 32961, 44790, 15353, 77157, 66090, 78871, 60119,
            54642, 31901, 32963, 75664, 52861, 53001, 30260, 92286, 42641, 86841, 7009,
            2379, 60800, 82546, 78571, 31459, 40376, 67711, 95521, 62748, 86990, 68465,
            29058, 1043, 53004, 60817, 56481, 33235, 13814, 91430, 35378, 59722, 56390,
            55749, 64977, 58211, 16478, 77909, 59489, 7443, 78130, 25057, 83723, 37266,
            63699, 16587, 1191, 30523, 60993, 98834, 52714, 50554, 8312, 5246, 17075, 10115,
            43141, 51420, 20795, 64644, 94111, 22044, 98215, 25427, 96247, 68336, 79481,
            64699, 66359, 39382, 47930, 95285, 72004, 80774, 39468, 74269, 65100, 12941,
            14750, 77177, 47509, 6261, 85849, 25992, 71671, 66695, 10164, 17022, 27791,
            11424, 19106, 5080, 9849, 70677, 31758, 1999, 27036, 58475, 35942, 30180, 24605,
            22949, 59809, 68174, 86957, 39141, 92582, 20765, 48138, 38150, 52912, 97267,
            99203, 86459, 97856, 47835, 26547, 4002, 85135, 77551, 15079, 49098, 1020, 7711,
            95363, 12142, 39514, 88955, 58269, 38889, 21374, 88644, 51828, 89206, 90731,
            63345, 5264, 29804, 58690, 69696, 44349, 63316, 5606, 37435, 14845, 51637,
            81153, 4496, 83755, 48411, 83027, 85048, 10712, 95506, 14200, 76033, 3668,
            94633, 62575, 34598, 60081, 11100, 30129, 21871, 80023, 78776, 43487, 38650,
            29145, 60199, 20089, 42386, 81354, 95116, 11486, 63335, 74364, 54086, 53606,
            92856, 59469, 8830, 88340, 21978, 79410, 70065, 94655, 33804, 47562, 36259,
            39539, 52853, 20108, 36653, 34746, 90393, 99814, 16512, 48880, 75308, 41618,
            49081, 7267, 55355, 35063, 50619, 12505, 10969, 73147, 47879, 10430, 11260,
            55726, 6471, 69412, 67165, 84397, 60807, 91890, 48607, 64937, 75561, 45966,
            66694, 7983, 34681, 62367, 56961, 65090, 41891, 54680, 38390, 83107, 64429,
            77095, 11959, 95189, 98697, 21912, 16183, 13676, 99322, 11057, 49008, 5751, 602,
            9543, 78044, 21800, 29367, 1970, 68854, 45140, 69802, 73482, 33599, 87551,
            22999, 87921, 74232, 13742, 48784, 99775, 71745, 67193, 79505, 15067, 78757,
            41614, 91256, 51630, 20526, 9004, 29629, 92828, 33832, 61944, 81413, 33884,
            29785, 44862, 99020, 99032, 38727, 33444, 41862, 63011, 43519, 78579, 98704,
            88078, 76426, 52092, 96875, 70004, 53225, 38019, 56513, 18781, 95445, 25535,
            25498, 67741, 39487, 82604, 47287, 5457, 49303, 76390, 30478, 59848, 88397,
            19348, 70406, 73274, 76703, 25788, 4658, 48642, 23518, 92938, 9852, 40319,
            78528, 60390, 64615, 30669, 85947, 73226, 98850, 23100, 39205, 50833, 65087,
            32336, 11171, 76356, 5423, 24747, 50631, 88191, 56539, 75951, 37627, 8814, 3431,
            44082, 69303, 41239, 50264, 17085, 61417, 79333, 46761, 84902, 5186, 96019,
            45564, 40228, 92476, 26597, 93424, 14147, 34906, 10808, 31816, 18538, 18239,
            52130, 19801, 44575, 12559, 80692, 21284, 23458, 22380, 60256, 60761, 89664,
            40746, 22911, 19501, 94318, 61894, 1414, 5165, 2004, 92919, 37506, 93767, 90337,
            26180, 96035, 47831, 56590, 21549, 73692, 6808, 19077, 94352, 42677, 15150,
            55422, 65580, 45767, 57424, 62849, 59312, 43116, 84710, 21594, 4277, 78188,
            97353, 96438, 61135, 16473, 87472, 45027, 72058, 4223, 78189, 61991, 57362,
            43186, 51005, 41045, 84490, 53029, 34498, 28483, 23204, 21722, 68920, 98229,
            55846, 48718, 92523, 54269, 22916, 23517, 42522, 31503, 83561, 4451, 29913,
            93344, 41774, 26060, 18830, 26660, 18587, 7822, 68459, 80681, 38558, 25440,
            99963, 16667, 92361, 88180, 72279, 76601, 75685, 3587, 63213, 45262, 73679,
            84420, 41005, 88714, 66818, 93939, 68055, 88418, 6678, 48136, 92637, 23245,
            36054, 26140, 54157, 76561, 24011, 72420, 92295, 27756, 36289, 35431, 60542,
            75060, 94216, 8690, 25489, 96045, 90064, 91752, 10382, 29525, 33753, 82646,
            27250, 49321, 4443, 16900, 56424, 1365, 6821, 60398, 62539, 88256, 69959, 42893,
            9959, 66842, 86591, 11594, 69107, 3483, 31495, 87232, 93739, 93072, 26077,
            51894, 9864, 18968, 91705, 89767, 30135, 92713, 39015, 3202, 11778, 71311,
            93801, 51039, 12550, 90084, 11684, 31873, 18396, 39262, 34432, 96753, 97031,
            35432, 99638, 42776, 34360, 56823, 29766, 15305, 21349, 76144, 73696, 80895,
            21451, 33056, 61003, 45506, 30196, 50756, 39032, 76012, 12244, 50502, 19365,
            29905, 31763, 10081, 55000, 15692, 64236, 24128, 19955, 94808, 31028, 55280,
            57389, 45597, 44704, 58472, 84248, 45806, 29424, 34843, 71332, 82553, 43114,
            49939, 1463, 42978, 26085, 76763, 38014, 94843, 64470, 51405, 81397, 31463,
            50571, 91390, 17018, 97535, 49670, 35032, 54429, 6419, 3323, 14119, 99132,
            35098, 60568, 16011, 94430, 73705, 7194, 92791, 3182, 1502, 38068, 89180, 34340,
            66132, 25752, 42151, 14815, 1253, 81430, 33073, 50591, 48168, 33935, 69265,
            90693, 55334, 24642, 97201, 91921, 25893, 76958, 74278, 51861, 72890, 51589,
            57970, 39393, 34857, 16139, 95406, 49507, 33350, 46802, 68454, 62187, 5573,
            2414, 22008, 47702, 11910, 54318, 12652, 11886, 95559, 83119, 13105, 28313,
            57879, 5007, 85572, 70425, 60196, 81655, 16119, 46781, 83514, 2446, 43073,
            24138, 1084, 61190, 72699, 54199, 32678, 80634, 87543, 67351, 37510, 87563,
            19912, 30894, 85314, 71378, 97055, 15458, 80055, 30725, 81983, 52379, 4639, 788,
            9180, 49592, 22484, 58507, 26650, 44293, 77494, 58638, 57127, 40143, 55245,
            17714, 49367, 94314, 55621, 82652, 96307, 39997, 92566, 18234, 60880, 99163,
            94149, 94502, 38169, 93617, 31803, 2277, 66227, 15498, 98429, 69876, 20530,
            64815, 46388, 4463, 44950, 85387, 94816, 41053, 75031, 72557, 71387, 12842,
            76134, 32936, 8668, 92230, 82404, 87289, 60917, 70893, 76289, 39576, 71197,
            1386, 21437, 33979, 1524, 23382, 69021, 38475, 60469, 68561, 44333, 35871,
            52624, 41801, 22581, 51344, 3257, 76814, 37861, 28822, 94754, 5890, 77178,
            19519, 73675, 1635, 51355, 46849, 90555, 95874, 26046, 10355, 54027, 78623,
            26949, 7934, 12219, 39641, 67361, 88774, 12743, 28333, 10373, 81768, 1012,
            68380, 34259, 1495, 78494, 99793, 9790, 44620, 78326, 11756, 62232, 62399,
            24932, 46944, 98798, 76830, 52012, 48526, 28751, 40236, 50771, 17734, 60038,
            64536, 93475, 69152, 10747, 21982, 52386, 62678, 66601, 25918, 11163, 5647,
            90568, 25237, 68934, 78474, 73072, 16915, 97710, 72321, 13289, 47465, 75770,
            16237, 37191, 70382, 75967, 43070, 18053, 97668, 35536, 12932, 39974, 68158,
            14821, 41645, 94080, 59698, 39541, 15044, 30879, 6904, 98935, 43786, 26286,
            8737, 1623, 80921, 57584, 88220, 29910, 46690, 71292, 32008, 74037, 6142, 85580,
            49271, 59633, 18030, 10145, 30609, 37582, 94885, 64637, 68851, 1233, 20339,
            52304, 83495, 3322, 47077, 36378, 38382, 40898, 85431, 40559, 79742, 63892,
            20319, 88656, 6247, 60803, 72355, 55392, 51586, 81173, 99167, 98190, 84386,
            35870, 21772, 34702, 84198, 45708, 84497, 57427, 73871, 86330, 68283, 15253,
            85239, 55696, 4762, 50637, 14361, 51115, 20462, 6251, 86026, 74985, 89590,
            59434, 96029, 28545, 70109, 22339, 84394, 5100, 81616, 70031, 58740, 51857,
            56421, 78552, 59354, 34435, 42675, 74609, 56902, 53338, 55826, 59056, 5497,
            83380, 20843, 3820, 99191, 76465, 10665, 1513, 34082, 95795, 57407, 62936,
            30655, 76737, 8462, 16646, 36475, 98271, 11949, 64216, 20971, 11571, 74758,
            79894, 79325, 69209, 97122, 48790, 11601, 81478, 94577, 56807, 43879, 30973,
            89949, 25032, 82704, 10771, 73020, 44366, 67818, 49795, 10431, 91187, 84842,
            99261, 78507, 45770, 76005, 87094, 75564, 69598, 53749, 49258, 64885, 45672,
            34739, 14073, 18711, 34993, 79079, 15971, 41743, 26473, 55434, 3393, 70542,
            46075, 89555, 19729, 42970, 52797, 30785, 9183, 31971, 71068, 63886, 16094,
            30782, 12519, 99330, 30727, 18150, 71979, 14121, 87852, 56340, 16532, 17447,
            69613, 15725, 73234, 23807, 84123, 54461, 76618, 83641, 78854, 99447, 47498,
            78201, 64820, 88140, 45768, 71023, 88630, 62651, 57894, 60957, 2684, 30744,
            36485, 53649, 93058, 2496, 91376, 79202, 68017, 28042, 71245, 11859, 56256,
            26070, 16739, 94702, 64485, 17958, 77360, 27703, 51265, 15733, 16996, 78383,
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            58015, 7414, 14251, 68433, 7873, 38337, 27662, 40534, 39635, 43506, 21430, 5575,
            59153, 97426, 26550, 92149, 36251, 42778, 14969, 98593, 29285, 71000, 67835,
            29041, 50424, 5579, 4028, 93581, 56559, 47238, 84174, 36326, 63492, 86960,
            27332, 86798, 88918, 73829, 46048, 66955, 28382, 95751, 38405, 81035, 77240,
            24236, 56434, 51257, 31491, 2051, 18974, 49852, 45706, 27345, 47600, 22564,
            87142, 90447, 95028, 60629, 93467, 99413, 90118, 41820, 18084, 21575, 70780,
            39871, 25794, 82798, 51044, 74241, 92398, 80232, 4227, 35851, 37554, 77978,
            94305, 27005, 67203, 47992, 18644, 61400, 47068, 6272, 72195, 82229, 17745,
            46009, 37433, 1722, 69163, 63861, 11803, 95749, 97072, 25638, 27518, 41995,
            51080, 38771, 93160, 77996, 76959, 83237, 169, 79474, 30488, 89848, 46101,
            98228, 79669, 53707, 63023, 93311, 11537, 93506, 68392, 81566, 481, 13720,
            63308, 16093, 68255, 79413, 54253, 89093, 42062, 1541, 72191, 99497, 60709,
            42061, 76252, 98305, 97149, 54760, 12116, 72241, 38669, 81290, 59606, 26250,
            22131, 24383, 44571, 50835, 57569, 61698, 67111, 13662, 98175, 15765, 64264,
            72710, 69357, 76115, 36649, 89054, 66787, 16599, 39480, 40924, 25850, 72950,
            42531, 92025, 65075, 72933, 30737, 91393, 31362, 38587, 28191, 42445, 37898,
            62977, 21806, 61657, 84564, 87206, 848, 52761, 43405, 50281, 81291, 77807,
            87719, 28721, 39864, 72809, 52656, 9791, 85005, 80820, 87248, 3122, 46000,
            13117, 45843, 87500, 2162, 22700, 73765, 91305, 99383, 99105, 48723, 38135,
            9536, 92756, 84951, 26994, 82256, 29176, 61766, 25846, 48653, 49436, 706, 5995,
            85430, 67352, 1199, 30047, 54902, 32958, 72990, 91932, 36402, 59324, 26562,
            67584, 70016, 92147, 41770, 17329, 19433, 2143, 75581, 26891, 73916, 30508,
            45071, 61760, 26465, 17361, 50135, 19571, 30070, 43335, 70027, 4831, 46094,
            59845, 55139, 55543, 85008, 2730, 93776, 76765, 61362, 59460, 4094, 36021, 8025,
            5717, 95907, 79290, 21014, 29393, 88623, 44880, 41279, 28338, 55737, 23339,
            73710, 12588, 42189, 44317, 38490, 88019, 93878, 26479, 50015, 4504, 94196,
            6552, 70844, 14202, 3659, 40814, 71988, 20390, 93599, 15574, 40246, 17053,
            63186, 44907, 14029, 24276, 66020, 56158, 56741, 4798, 13123, 72214, 71383,
            60454, 1626, 80663, 4507, 25597, 78594, 39786, 21840, 7255, 28918, 65534, 48753,
            94693, 97108, 2187, 71886, 61459, 353, 50200, 89005, 12806, 91306, 45507, 98464,
            94697, 90125, 38914, 58109, 79771, 1186, 9213, 40994, 32540, 24714, 13220, 861,
            21293, 20512, 95711, 35865, 2289, 47549, 39254, 80833, 27860, 10538, 97682,
            26401, 63650, 27117, 95224, 65474, 50157, 54329, 81021, 93812, 99270, 7293,
            53309, 61895, 66649, 8370, 27131, 13361, 43938, 80974, 30957, 23604, 66232,
            99690, 21984, 46596, 43015, 54928, 9242, 97364, 54908, 98442, 49426, 43575,
            85392, 46609, 33210, 11587, 70062, 55023, 4626, 74955, 25782, 98870, 96243,
            29339, 36575, 72205, 27499, 96750, 72190, 54403, 19088, 5053, 58738, 95830,
            99088, 78445, 10776, 93679, 76857, 23967, 28365, 71043, 80830, 93860, 46057,
            41848, 48106, 29753, 1038, 91046, 35886, 57564, 15543, 57, 77173, 59925, 42666,
            22418, 16179, 55040, 87887, 32611, 56412, 72306, 39815, 78195, 4978, 9162,
            40718, 52756, 43227, 28152, 14328, 56280, 74884, 47913, 13981, 60209, 95207,
            47281, 3634, 88770, 58420, 93754, 73549, 16189, 8999, 3025, 6171, 57736, 98631,
            85524, 54752, 89702, 99362, 78248, 60128, 36696, 9935, 20449, 99305, 64403,
            94840, 5171, 85014, 52872, 38168, 42104, 89091, 62011, 64295, 75148, 21, 32305,
            53131, 46543, 77189, 94135, 19454, 75421, 56901, 46212, 29807, 19327, 38935,
            99300, 59995, 66680, 17960, 40496, 35592, 30870, 70302, 38635, 83953, 14738,
            2267, 23024, 73192, 72430, 53248, 9732, 65695, 96691, 68914, 46939, 37323,
            96811, 15966, 90551, 38864, 70131, 79215, 68078, 54852, 75548, 57109, 1910,
            67187, 36029, 64416, 87988, 78984, 20518, 34885, 42416, 88393, 64167, 7136,
            73407, 41434, 84134, 52900, 91447, 50478, 3939, 11109, 12185, 37151, 36952,
            58988, 46502, 7390, 95112, 19311, 70919, 11141, 26846, 85619, 15788, 99957,
            47136, 91260, 17420, 64669, 55885, 40225, 65776, 12001, 75842, 63825, 27281,
            90760, 26680, 74593, 63562, 11868, 14849, 31734, 79094, 5636, 63038, 57709,
            6693, 26615, 3268, 42645, 12627, 4162, 43161, 67215, 35446, 58354, 4982, 61993,
            71991, 25040, 32249, 12150, 47911, 85167, 15166, 12377, 82441, 75187, 9533,
            51596, 61379, 57033, 2269, 84621, 828, 58531, 26377, 42903, 19108, 19053, 1301,
            778, 81800, 94247, 25400, 66454, 40198, 77472, 44285, 70071, 96180, 28177,
            18677, 38498, 65437, 4974, 40288, 5614, 36581, 88036, 7380, 90902, 95862, 37908,
            55145, 72002, 91174, 93579, 28129, 2413, 74658, 49560, 31525, 52127, 63088,
            44999, 59321, 93961, 1359, 59310, 86327, 59060, 28548, 90980, 45065, 86818,
            92631, 85139, 80886, 27464, 22886, 68651, 47455, 71776, 46180, 60768, 69232,
            24420, 15582, 75605, 24144, 37422, 36082, 23157, 85774, 90552, 54371, 15469,
            13196, 14655, 81636, 30253, 43947, 58954, 3705, 72817, 13527, 77556, 69252,
            88282, 64046, 76722, 66660, 14191, 88127, 54739, 96304, 47337, 14835, 34494,
            89481, 66233, 54241, 68795, 3920, 71185, 51198, 2158, 98325, 423, 41922, 97809,
            35277, 13747, 48216, 77051, 73363, 9369, 31341, 27396, 12460, 54819, 66656,
            15391, 18888, 43517, 75205, 21579, 62337, 20809, 52967, 77586, 58230, 18994,
            86690, 52922, 87535, 11264, 56288, 84533, 50872, 27047, 96323, 39796, 38130,
            64868, 38049, 60529, 85277, 4852, 48115, 28905, 62878, 40877, 60859, 86985,
            45320, 25589, 22450, 47451, 87004, 60657, 2378, 59182, 79887, 75652, 44226,
            40506, 80246, 61071, 92636, 31297, 52913, 26876, 69574, 77797, 1806, 81255,
            82254, 33207, 36126, 65341, 8923, 99325, 90469, 37744, 722, 19589, 39232, 2401,
            87937, 32960, 1374, 46958, 909, 20651, 83087, 46521, 94638, 26508, 94128, 63723,
            2604, 29543, 97388, 14709, 70879, 16952, 51756, 56966, 2729, 25014, 76431,
            52959, 10954, 96441, 67612, 33188, 40417, 27409, 39834, 47553, 8211, 616, 45003,
            20352, 13946, 61297, 54868, 57873, 35125, 77475, 70296, 27224, 61808, 8106,
            52687, 94913, 19138, 58550, 32725, 62571, 5253, 28577, 15539, 459, 60147, 47473,
            3499, 59067, 39761, 53753, 68098, 95934, 71868, 46530, 59382, 82401, 69169,
            39499, 7410, 13862, 17769, 73730, 25604, 64237, 81604, 82981, 42258, 92399,
            66848, 74651, 18564, 78916, 98585, 37712, 35190, 52368, 7559, 54598, 65555,
            72325, 88992, 1585, 17995, 31036, 60227, 37464, 34641, 69996, 87900, 70869,
            95808, 89824, 27883, 66123, 63264, 92503, 78924, 96423, 88951, 15549, 45529,
            52755, 60197, 57101, 12733, 81217, 88153, 42585, 34269, 79122, 84915, 82696,
            69142, 83963, 65393, 33714, 1890, 86196, 26106, 35112, 13908, 42750, 87729,
            60871, 18875, 35395, 53440, 44678, 49659, 17859, 97557, 20608, 61435, 89110,
            32133, 89698, 9514, 14778, 86062, 35157, 51871, 12841, 21173, 83653, 67716,
            88002, 35968, 64749, 13735, 51356, 94407, 7893, 2275, 32424, 85325, 88558,
            19692, 82199, 69887, 64438, 48577, 57055, 76728, 86853, 53089, 67143, 83403,
            77621, 38695, 36502, 77066, 66246, 61046, 6249, 97054, 580, 81471, 7351, 56141,
            38675, 10875, 96007, 84288, 81133, 66243, 97812, 77390, 13239, 69582, 26533,
            70405, 43197, 19815, 38752, 34533, 61167, 73930, 96932, 22718, 13612, 67036,
            67117, 2643, 46267, 82954, 92521, 47928, 27928, 80149, 8520, 90020, 95115,
            59496, 29025, 90274, 18351, 61097, 88179, 89207, 25667, 87027, 79278, 6313,
            51234, 27085, 40723, 75163, 28599, 14139, 28398, 51727, 89523, 57281, 80513,
            34697, 52564, 25340, 40106, 76591, 49641, 99896, 63394, 8463, 91253, 9045,
            59253, 92711, 75401, 69105, 93663, 66112, 5275, 4310, 39597, 31462, 62691,
            13221, 81565, 34453, 15828, 99397, 80436, 4059, 31359, 40931, 41192, 94678,
            51772, 16038, 52776, 6110, 21096, 11482, 98896, 3981, 60659, 40473, 8634, 96859,
            70822, 46210, 80498, 95141, 54163, 95247, 51342, 28974, 2991, 361, 6425, 61735,
            53315, 82500, 10132, 42661, 31448, 31392, 11995, 97393, 78449, 11530, 4837,
            67487, 34864, 61159, 63531, 12400, 98881, 12577, 36974, 23961, 81420, 59569,
            70917, 90333, 89747, 90521, 34955, 5472, 31544, 19110, 96995, 46756, 9421,
            33563, 66157, 83915, 50340, 19132, 64272, 22051, 91198, 67839, 31585, 97453,
            78605, 3616, 90823, 7577, 7129, 4380, 30713, 61918, 72184, 21720, 19793, 75358,
            96948, 40701, 42243, 26447, 41713, 8897, 91507, 70806, 40661, 86230, 38504,
            35813, 32819, 28119, 34167, 15596, 60660, 70864, 22217, 68504, 58602, 81649,
            49616, 98893, 21268, 70872, 92040, 43401, 13896, 27751, 61664, 39577, 2893,
            34205, 39432, 47276, 40322, 37366, 42317, 53235, 97281, 20564, 2725, 29517,
            5516, 69738, 84593, 96754, 34969, 2204, 6218, 55635, 9963, 55222, 74802, 23698,
            91427, 3747, 69950, 51968, 59662, 98094, 94009, 38295, 83036, 51817, 13336,
            79663, 93060, 61966, 58566, 63568, 2952, 30436, 51026, 13402, 879, 89458, 58061,
            85482, 54708, 61730, 28262, 25434, 23278, 66990, 64266, 79019, 85414, 92005,
            70043, 47124, 26225, 79161, 4973, 71557, 63525, 52473, 70764, 81883, 58837,
            54782, 36794, 8489, 46187, 33000, 95991, 3806, 9335, 9658, 81223, 52731, 89462,
            94452, 11892, 84294, 4638, 77332, 115, 60317, 39540, 67465, 76525, 98894, 16264,
            76582, 24041, 27050, 27272, 9584, 79587, 91736, 93745, 76837, 97748, 88806,
            37531, 77289, 86301, 34353, 60170, 93525, 31627, 96551, 13396, 65192, 94152,
            28150, 5360, 31356, 54922, 65693, 13028, 51641, 1002, 82471, 64676, 44925,
            46225, 35980, 56151, 60051, 66304, 96788, 25387, 17831, 79693, 46910, 32206,
            59411, 54501, 96943, 7349, 187, 47272, 96259, 17594, 40660, 7806, 19356, 84611,
            40152, 94949, 41388, 88236, 15228, 35821, 72413, 93740, 3240, 59318, 65684,
            35603, 80261, 97302, 99099, 55173, 93201, 32607, 9663, 98473, 84537, 50155,
            20004, 72097, 36032, 77966, 65502, 3005, 94605, 34504, 99527, 2255, 73662,
            62832, 14952, 52100, 2431, 18043, 60488, 39844, 6469, 18904, 51496, 78873,
            15364, 74458, 27473, 64795, 76641, 75611, 9108, 68650, 954, 45690, 27039, 76306,
            34566, 21615, 7430, 35079, 56603, 83991, 56756, 7787, 19415, 97059, 55903,
            18943, 35530, 64016, 51691, 29116, 92785, 56214, 16764, 94342, 74236, 17994,
            85613, 67854, 24365, 69877, 1797, 47110, 2942, 12482, 76, 29769, 4812, 36824,
            12490, 52243, 6483, 20061, 55777, 78117, 35774, 68046, 67322, 63200, 36717,
            57017, 48121, 68971, 5576, 30356, 56868, 45128, 5757, 96193, 28940, 242, 23525,
            70895, 21181, 37392, 26174, 99898, 50556, 72466, 82056, 54862, 3170, 16464,
            64018, 52844, 88204, 17784, 9463, 18474, 66137, 27652, 35607, 57376, 42291,
            9521, 2839, 72305, 92047, 36514, 79390, 18649, 25134, 45911, 66560, 45575,
            31022, 14179, 84736, 98259, 36166, 45374, 51827, 5747, 27141, 13347, 68740,
            27980, 88171, 99209, 51977, 89893, 43594, 29295, 8971, 75170, 25015, 69078,
            55273, 10727, 71661, 16580, 60027, 26940, 79550, 24943, 7867, 62686, 13622,
            32890, 18759, 70832, 28022, 93195, 9804, 84396, 93059, 4152, 57590, 21298,
            70924, 91850, 23975, 26072, 10923, 90779, 76047, 27741, 70155, 58253, 83593,
            71101, 58661, 99752, 4587, 81966, 48554, 53197, 9987, 1799, 81152, 70943, 50960,
            41222, 8685, 95537, 72870, 84488, 20211, 55083, 62705, 86619, 73371, 62000,
            67192, 86442, 67676, 23587, 78531, 47538, 43994, 84, 49360, 56168, 36771, 91746,
            30500, 95660, 47133, 27203, 47830, 709, 76064, 20127, 87941, 68805, 5003, 33906,
            6401, 2257, 92051, 81012, 81405, 6947, 91686, 91738, 26482, 48697, 5443, 57778,
            89010, 58943, 57369, 88173, 93114, 2908, 17017, 71947, 32320, 74380, 88919,
            24865, 69850, 72797, 34240, 13555, 48294, 63435, 31176, 55082, 7396, 6242,
            70306, 12257, 55769, 11071, 90571, 89171, 47749, 66060, 35904, 39517, 63017,
            80317, 82851, 51400, 71858, 82299, 24858, 43556, 74167, 36181, 63943, 33228,
            42498, 15951, 24393, 26434, 65989, 99255, 72110, 78752, 33633, 67128, 62846,
            98338, 80538, 71397, 45587, 69140, 28816, 98547, 32896, 24499, 67211, 41023,
            30144, 34189, 99335, 8573, 52704, 69484, 92885, 11526, 51834, 1593, 35457,
            14344, 30871, 14086, 50493, 10532, 83397, 82189, 58649, 39822, 13606, 2511,
            2911, 31848, 74546, 56599, 78197, 8794, 58133, 37547, 24015, 92684, 56120,
            79768, 99143, 46202, 8889, 73522, 17828, 16337, 47598, 99559, 93927, 92441,
            50345, 7290, 1925, 13296, 67827, 19591, 17297, 6102, 11269, 15963, 87138, 30435,
            66213, 89449, 57090, 39604, 57229, 42297, 95281, 42494, 46286, 66830, 74111,
            95785, 60893, 42175, 11648, 75488, 10731, 38941, 35872, 79527, 91912, 7802,
            3822, 85857, 97931, 16881, 20245, 52088, 97150, 13932, 41019, 44350, 6616,
            79245, 15899, 49095, 28003, 35208, 46994, 69264, 82455, 77887, 32644, 82251,
            47050, 74664, 45655, 94723, 66822, 75317, 30212, 89967, 58906, 34256, 5530,
            27169, 16206, 47938, 1479, 88365, 98324, 1682, 73596, 46097, 7092, 99465, 23500,
            90888, 59877, 90909, 64019, 81435, 75916, 63838, 84474, 2830, 19527, 96096,
            90166, 36945, 54116, 59798, 51876, 10953, 55667, 87619, 50384, 27922, 70907,
            23910, 913, 56922, 21881, 31985, 84461, 90255, 99301, 89979, 10004, 68668,
            69054, 91731, 35795, 3053, 9015, 5023, 70012, 73259, 49608, 9824, 40128, 63796,
            20579, 35377, 19343, 25531, 60263, 19581, 30357, 96230, 63012, 79722, 12653,
            4211, 56109, 80856, 46098, 20877, 51875, 39572, 14881, 65743, 16507, 50650,
            79488, 22961, 49256, 57642, 30230, 83804, 3316, 67188, 32106, 35554, 25528,
            40593, 42589, 17655, 8243, 82650, 10471, 99947, 80849, 88443, 68711, 79989,
            69074, 77089, 20360, 98758, 28082, 2404, 51336, 5028, 20778, 64308, 5795, 60394,
            97339, 1082, 66143, 31228, 32176, 68554, 61119, 80244, 287, 67195, 71989, 49883,
            595, 74195, 45872, 76692, 82506, 81576, 13665, 69555, 6087, 72158, 16654, 84664,
            99358, 48704, 15822, 81447, 69760, 14692, 43470, 97955, 60475, 2901, 70773,
            64448, 50975, 3765, 76867, 75306, 6927, 17923, 5901, 47079, 48468, 98983, 31821,
            82897, 62992, 21608, 21560, 97670, 20064, 93557, 93784, 16546, 6978, 62224,
            6331, 62010, 41569, 70957, 69621, 81861, 47751, 92002, 40416, 71312, 32188,
            95078, 43644, 82080, 9587, 13197, 47595, 38343, 62774, 40332, 41159, 42407,
            39131, 57454, 41799, 86606, 33636, 24341, 85894, 56836, 25955, 44222, 33172,
            18672, 69073, 49914, 89439, 81341, 4240, 33621, 28641, 37207, 69102, 82048,
            97332, 72768, 91454, 46515, 12230, 82689, 61897, 46563, 26048, 78250, 54545,
            89349, 57134, 2982, 58422, 10291, 87620, 18584, 36619, 60786, 27597, 31030,
            45771, 90803, 75836, 70797, 93227, 4409, 4447, 53077, 74913, 33463, 89138,
            22639, 33812, 35932, 16965, 17493, 36376, 29872, 92673, 38302, 59776, 79211,
            93802, 9820, 48067, 37663, 95014, 70277, 80627, 81363, 53519, 73723, 82585,
            51138, 53647, 33142, 12948, 85829, 28625, 70075, 51635, 60874, 40165, 16787,
            48009, 80867, 72513, 81075, 84476, 68584, 83182, 73785, 39837, 72767, 9580,
            99840, 73361, 14479, 24191, 12437, 9589, 53100, 28303, 87819, 36232, 37377,
            79750, 1471, 56696, 36612, 86903, 42684, 53858, 40983, 23986, 2817, 99328,
            49099, 60033, 64374, 24145, 5942, 22672, 47495, 79189, 58828, 35055, 5809,
            63465, 16122, 55661, 65026, 39339, 13871, 91735, 10643, 72092, 53230, 301,
            15154, 23461, 15709, 21248, 45206, 36855, 90595, 78925, 83098, 13497, 57172,
            61269, 58077, 44210, 94686, 10535, 347, 95292, 12407, 28142, 87269, 66566, 8840,
            23730, 71320, 11603, 9201, 45114, 67437, 67266, 38857, 13659, 98449, 84726,
            10383, 48278, 20473, 57467, 47798, 47909, 54064, 25965, 52183, 23323, 6874,
            7985, 36831, 1172, 44236, 44081, 12418, 42063, 44047, 9306, 80797, 34973, 83735,
            2345, 95706, 10490, 40949, 76461, 31067, 7024, 4495, 31826, 32669, 25406, 44451,
            45583, 25179, 53863, 76889, 74597, 71044, 35984, 99832, 17294, 58079, 1842,
            6051, 49891, 39115, 37407, 68461, 79125, 4159, 63399, 54233, 85271, 71047,
            19781, 89798, 59847, 44527, 1273, 71919, 8807, 37125, 20052, 80779, 89428,
            67452, 89511, 91409, 70482, 48736, 94862, 52891, 47479, 56058, 26431, 73474,
            48206, 62081, 52105, 61779, 73935, 69178, 17284, 72091, 10214, 14496, 79364,
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            12569, 5675, 50514, 68741, 2466, 9763, 81531, 44263, 30017, 23022, 3986, 20820,
            63295, 78306, 24911, 98622, 51178, 54332, 87102, 75844, 94014, 25479, 78880,
            79839, 52447, 32391, 97225, 49409, 63864, 11295, 59893, 6462, 64221, 23597,
            81046, 40308, 38896, 36957, 53179, 2855, 66956, 49325, 69402, 49054, 23503,
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            75081, 32681, 36950, 65003, 56637, 71058, 81113, 20280, 51814, 9535, 19908,
            55072, 44752, 95156, 5070, 12964, 76701, 50510, 88332, 99036, 4187, 17536, 867,
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            45866, 52056, 2628, 57814, 22408, 33794, 92616, 27972, 1734, 76032, 2889, 96817,
            34322, 4871, 7839, 23257, 2352, 42505, 21951, 59892, 28029, 10869, 84520, 34967,
            30901, 49512, 99361, 99091, 28467, 59802, 22775, 76929, 51455, 44609, 49122,
            99592, 65338, 50118, 42734, 73523, 66001, 82799, 96920, 35248, 14484, 31592,
            66475, 31886, 53472, 77638, 22110, 50649, 68880, 45200, 4216, 1876, 22101,
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            81619, 41266, 99402, 71648, 21977, 84132, 62364, 58222, 92858, 26527, 33656,
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            23665, 11337, 29521, 69462, 50319, 32, 33450, 28315, 31114, 98180, 7535, 74526,
            95240, 65493, 70304, 65630, 74139, 37823, 26822, 74741, 92493, 31812, 37529,
            35533, 46093, 88120, 47488, 80654, 88675, 67330, 47292, 23159, 44519, 81907,
            99193, 6459, 26513, 39888, 17895, 49711, 54470, 22379, 33312, 31457, 40923,
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            90942, 57145, 24786, 8332, 64047, 49068, 8249, 84201, 81687, 99862, 16474,
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            76951, 28774, 95725, 40063, 23999, 1732, 31713, 42048, 50995, 24504, 71066,
            26119, 66917, 38503, 71278, 38687, 56572, 26558, 10162, 18949, 3348, 6712, 8422,
            37668, 98019, 2905, 342, 38728, 68978, 48833, 39448, 97080, 2809, 58844, 31924,
            28874, 24933, 6549, 46476, 59619, 1241, 2211, 56959, 67852, 54515, 71338, 86430,
            72607, 32767, 96669, 51018, 19134, 42919, 5735, 97564, 83882, 18749, 76544,
            63566, 28357, 63083, 52880, 88544, 77834, 71477, 75904, 7191, 42164, 1392,
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            87260, 89993, 11635, 51820, 66318, 32087, 22005, 95695, 80559, 98968, 22604,
            49849, 46711, 43158, 46979, 82901, 41656, 49204, 61223, 72000, 75253, 4017,
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            40452, 56376, 86350, 60163, 14545, 91498, 89705, 75959, 5378, 54426, 65515,
            93239, 86056, 39158, 137, 64559, 93592, 91643, 12589, 82466, 83658, 29921, 3516,
            73552, 48796, 97128, 50162, 15502, 79295, 44513, 73250, 29454, 36959, 35332,
            24371, 50816, 73813, 67326, 99836, 3299, 87177, 9223, 83693, 45876, 99120,
            50007, 91580, 2340, 72462, 77253, 48256, 64433, 73170, 74326, 45335, 52740,
            20869, 38598, 19853, 56697, 93074, 16959, 15070, 12449, 6305, 20278, 68263,
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            21517, 62095, 9917, 86793, 47007, 68547, 74116, 53946, 38760, 47415, 60071,
            55364, 60978, 99585, 68884, 75857, 67290, 52679, 22333, 24176, 62439, 95875,
            31410, 32452, 32641, 6843, 89725, 12266, 51310, 66831, 41129, 62268, 72226,
            15850, 24186, 69387, 39935, 30739, 28296, 16427, 22315, 28890, 22952, 36162,
            63996, 67638, 4139, 25226, 76924, 55868, 93191, 3803, 9098, 43172, 2850, 19154,
            20789, 92646, 5210, 4429, 84963, 25473, 4134, 99791, 35985, 46832, 90856, 65591,
            74034, 43521, 71296, 48143, 58340, 18868, 21358, 25155, 52402, 10405, 71025,
            80266, 38087, 53431, 76325, 53924, 82188, 57306, 69639, 43942, 33962, 66622,
            44235, 98395, 7751, 28801, 1468, 46355, 93300, 45270, 54744, 15915, 4531, 80424,
            37360, 49797, 19313, 26067, 40824, 38792, 49944, 10102, 52961, 50239, 37163,
            77616, 22957, 6494, 23784, 62358, 70218, 10178, 5224, 72906, 19800, 28537, 5381,
            17026, 21755, 20124, 57865, 90336, 29009, 13111, 45163, 36927, 24311, 25495,
            87839, 74094, 35671, 97781, 92882, 92871, 69181, 14249, 55325, 53804, 97687,
            58416, 17761, 68257, 41094, 14346, 8488, 43501, 14923, 91573, 21182, 67, 48915,
            1466, 42823, 89094, 61432, 67358, 91132, 72288, 53385, 44518, 63545, 11653,
            34670, 79602, 33314, 23938, 46489, 64712, 42053, 11007, 60233, 20129, 54204,
            74865, 87126, 15551, 48052, 47599, 69674, 38222, 35513, 97851, 83668, 37024,
            19332, 64652, 57045, 74919, 50544, 84709, 72071, 88079, 48502, 70562, 49061,
            60706, 2994, 88532, 34507, 95107, 14837, 67433, 20206, 1980, 36882, 8967, 2596,
            13481, 7331, 29359, 24883, 4939, 63565, 66762, 64980, 85037, 94780, 12362,
            74008, 83318, 23522, 48069, 92412, 28607, 88874, 88572, 87310, 95603, 20363,
            44436, 22314, 61552, 96072, 85122, 95858, 3720, 34110, 56061, 35692, 34460,
            99244, 84925, 68512, 80788, 29049, 41678, 23766, 12571, 92432, 83055, 17641,
            35324, 4115, 97207, 91626, 85593, 3343, 44120, 83505, 99904, 88172, 78974, 7073,
            88574, 79532, 80385, 98899, 80186, 56586, 30513, 67311, 88512, 55170, 95540,
            32475, 40728, 37802, 10197, 40357, 7580, 84144, 63477, 68485, 44946, 15663,
            75260, 7544, 86925, 87025, 44523, 97665, 82065, 88339, 99276, 32697, 33651,
            68640, 20223, 62318, 22925, 45423, 93505, 79549, 70557, 86351, 26438, 93556,
            34514, 9679, 61282, 22624, 61426, 61909, 29712, 67512, 78279, 19883, 16032,
            61110, 3535, 46113, 86800, 2301, 39881, 31819, 26076, 31476, 54906, 5416, 81810,
            36545, 22025, 9627, 78820, 51418, 79396, 62374, 50380, 37841, 33910, 37067,
            48014, 41812, 27241, 11657, 10073, 29546, 94916, 487, 46655, 73708, 79886, 6103,
            19300, 2425, 83650, 50011, 63129, 45504, 60708, 23538, 65197, 74483, 73400,
            44955, 85910, 49323, 41846, 58164, 51242, 96624, 23849, 4957, 72806, 61858,
            13922, 70365, 86041, 61656, 57779, 11323, 95081, 48476, 21587, 42872, 40770,
            33420, 59934, 60502, 61011, 34326, 43659, 83580, 17322, 5924, 99223, 48879,
            85044, 32662, 58160, 35700, 42350, 85526, 30764, 88483, 7017, 71028, 45278,
            8362, 57052, 85076, 97577, 23352, 18244, 93387, 32458, 61113, 91861, 53427,
            90953, 84947, 36374, 71997, 54887, 96966, 72034, 84274, 21676, 15800, 45318,
            9095, 24006, 99062, 53035, 422, 5393, 48668, 86671, 79804, 4084, 62330, 6424,
            94290, 7239, 9490, 93402, 69144, 2895, 10849, 61482, 57623, 59685, 22541, 62496,
            71411, 69342, 76013, 59828, 23704, 75885, 87865, 21696, 13534, 50349, 97220,
            14465, 20198, 39565, 95333, 72571, 70207, 91370, 36017, 31212, 93601, 10100,
            22053, 76485, 90389, 55669, 99890, 73465, 13376, 71692, 53958, 70437, 43477,
            27490, 44868, 22620, 73621, 67674, 32822, 41099, 40448, 1783, 19660, 44450,
            41541, 73850, 56994, 64707, 70396, 15984, 37976, 41807, 56528, 35396, 60509,
            65174, 52435, 95895, 37083, 11853, 92895, 44732, 61666, 20748, 59548, 22178,
            52308, 35061, 68181, 61037, 99346, 62080, 46650, 98765, 68393, 56501, 94049,
            50363, 43867, 55923, 83639, 26507, 78005, 69372, 84569, 71210, 31589, 16827,
            67974, 66063, 48061, 60435, 60604, 59679, 47652, 90656, 12651, 91535, 55092,
            1354, 35644, 22465, 50396, 36282, 92559, 66363, 84774, 53095, 20770, 16347,
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            52415, 79869, 46040, 35971, 44948, 17532, 33957, 19845, 66053, 66084, 75041,
            88266, 92557, 44254, 64743, 35059, 89545, 30319, 69546, 71859, 36724, 32114,
            5230, 36565, 44653, 81277, 1598, 7671, 62648, 84637, 10882, 2878, 2795, 13603,
            31690, 317, 5240, 77695, 61585, 8961, 44483, 26699, 78467, 74105, 55515, 11116,
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            2139, 70433, 28464, 87553, 72453, 22226, 43985, 29130, 77868, 20803, 72947,
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            14171, 59027, 41044, 17067, 60776, 93492, 3571, 9690, 11612, 75093, 75437,
            55452, 80653, 59293, 24953, 48200, 7481, 8771, 54011, 27762, 50576, 13236,
            78372, 50778, 14362, 16819, 65069, 37902, 15235, 67675, 38627, 42905, 6347,
            48968, 90985, 8994, 81932, 6467, 58543, 83506, 70825, 61721, 57802, 89821,
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            24924, 21238, 26005, 10892, 90060, 29195, 81601, 78729, 37550, 92324, 67699,
            33162, 27492, 97266, 8873, 38966, 61653, 97447, 50818, 6544, 57475, 39624, 3351,
            49025, 59815, 49728, 95357, 9647, 61428, 82485, 5340, 67375, 36105, 22669,
            48124, 34347, 2164, 44170, 12256, 57402, 46598, 22054, 95446, 69452, 92786,
            4955, 94100, 51407, 21810, 44166, 60465, 86126, 81168, 212, 74260, 75191, 55258,
            93840, 72353, 75333, 94157, 33699, 58697, 60700, 90928, 48737, 89998, 2100,
            74071, 60857, 59020, 21175, 11717, 76955, 23093, 96086, 5806, 80709, 22277,
            2050, 59902, 8819, 74221, 63982, 82715, 71740, 18651, 7912, 8348, 85669, 59667,
            85281, 11554, 46501, 16414, 86663, 63108, 25251, 47799, 98509, 34166, 28889,
            90930, 71744, 22948, 91320, 15739, 18931, 48230, 58276, 71460, 41929, 90179,
            82796, 27262, 97772, 79621, 60347, 53378, 64187, 23430, 37901, 6758, 80641,
            59170, 63686, 57113, 22135, 13277, 65264, 65922, 21650, 40315, 23831, 45162,
            22659, 97567, 45451, 37461, 61343, 6104, 18705, 91839, 1487, 53450, 73446, 5626,
            45923, 35356, 86452, 1189, 20056, 63223, 84080, 77334, 73896, 20624, 63665,
            68892, 6442, 97358, 93681, 13145, 45434, 54026, 51996, 95699, 62379, 83296,
            71558, 6026, 40917, 12077, 71871, 24200, 19881, 37019, 13751, 92333, 6894,
            25167, 89769, 29038, 59502, 91527, 94346, 97720, 62743, 95490, 92747, 36844,
            33356, 56264, 32233, 20517, 12226, 95644, 96683, 74015, 23355, 92802, 68083,
            33592, 84413, 33424, 86987, 37206, 71884, 45161, 63522, 40118, 36163, 13828,
            85116, 66002, 79074, 85661, 28226, 21445, 9622, 87747, 3729, 45821, 31885,
            71845, 52602, 3963, 48384, 22335, 30150, 57548, 36720, 46739, 1544, 38986,
            47647, 48370, 81520, 11919, 81308, 7320, 54074, 68346, 22879, 8147, 79640,
            49421, 3432, 1311, 1029, 46351, 68894, 62128, 71843, 37643, 62643, 4075, 88706,
            51121, 63687, 70378, 20236, 68807, 68445, 60099, 42596, 38419, 57251, 98610,
            19978, 29656, 95735, 7726, 13364, 28491, 73125, 62881, 76531, 47953, 2571,
            31529, 76966, 7307, 41301, 28301, 28241, 42555, 57533, 79962, 19114, 27552,
            67746, 26393, 3885, 48246, 42148, 85411, 87489, 86195, 65950, 23437, 65880,
            2976, 42511, 85902, 3131, 69903, 59133, 83710, 45186, 39035, 29754, 76001,
            35304, 58335, 48583, 58514, 99238, 47518, 51517, 51374, 12039, 59649, 75473,
            39655, 30191, 36174, 59323, 71048, 98964, 76833, 34994, 86251, 31485, 26605,
            72356, 67492, 88859, 36193, 97679, 81009, 60941, 82893, 19021, 70729, 97821,
            5113, 14538, 68901, 61746, 54387, 83059, 51579, 77893, 7436, 611, 13654, 58596,
            65681, 14324, 46331, 66774, 76937, 52317, 79288, 3411, 84212, 30327, 98635,
            22866, 14300, 96236, 31992, 16235, 3385, 12661, 79581, 74654, 65839, 94533,
            61898, 9398, 1055, 5397, 74123, 65655, 53157, 51983, 15291, 804, 84287, 32674,
            54216, 21585, 10873, 96153, 93037, 72281, 13090, 86366, 9370, 36205, 22035,
            4180, 20169, 54168, 49766, 70531, 56612, 62755, 34479, 91354, 95022, 79604,
            97611, 17840, 48375, 21842, 32572, 84837, 811, 77377, 46272, 16033, 96768,
            92023, 44533, 50169, 76011, 55752, 53087, 68772, 94038, 54929, 22488, 4680,
            46673, 53056, 41727, 35290, 32630, 40933, 44028, 11615, 44652, 59870, 2613,
            62091, 61418, 64651, 8716, 48433, 84815, 75120, 23494, 46972, 74006, 21783,
            14549, 51082, 13213, 15856, 52233, 30538, 94812, 54901, 69377, 53608, 63037,
            73434, 71954, 33762, 69840, 36737, 25372, 11533, 99818, 20914, 44471, 73956,
            35706, 77026, 18193, 85149, 51348, 28753, 23282, 36685, 55514, 42158, 13404,
            69128, 48305, 81191, 77991, 47543, 42731, 55851, 36876, 67770, 60349, 42090,
            61285, 90912, 51520, 61816, 57870, 86284, 74641, 9684, 6780, 6930, 27336, 5491,
            15369, 54575, 77109, 16234, 57670, 33019, 72715, 45774, 3867, 57477, 53900,
            7473, 55018, 29777, 79850, 25932, 1775, 17981, 21023, 62998, 20166, 4882, 62552,
            1112, 8044, 75569, 628, 86877, 1854, 24998, 14818, 5594, 97946, 9339, 78891,
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            81670, 330, 76323, 92821, 56855, 71164, 89513, 57555, 18376, 89186, 29628,
            56037, 57687, 95101, 56865, 92547, 61140, 55431, 85027, 75110, 30141, 89592,
            86204, 61055, 57774, 18499, 23485, 81154, 37995, 31156, 61492, 76141, 50721,
            7459, 14285, 76216, 57108, 70457, 2718, 26966, 24744, 96162, 8909, 5894, 27279,
            48217, 83992, 64897, 98662, 33388, 21648, 31465, 94414, 41985, 55317, 32515,
            90233, 13109, 2577, 59357, 83672, 6248, 78890, 52143, 79486, 52854, 31835, 9606,
            89042, 49410, 7359, 82019, 87297, 99605, 86241, 99504, 26184, 43781, 99035,
            36203, 66673, 90114, 63278, 60328, 15063, 23944, 29616, 14105, 29236, 87952,
            4858, 56222, 65569, 24049, 80457, 39397, 97309, 64546, 32329, 1636, 96664,
            98045, 24992, 96354, 22805, 47359, 19989, 98533, 49000, 75546, 60143, 30163,
            64918, 84314, 91485, 88405, 94181, 82113, 61012, 75723, 12797, 40218, 63580,
            26330, 70374, 39962, 11238, 78618, 84427, 8189, 80908, 54304, 49125, 51214,
            75965, 31860, 23341, 72598, 11453, 35801, 47048, 60867, 30, 92105, 64961, 58122,
            40407, 41821, 21997, 12300, 178, 63349, 21401, 30798, 49358, 77644, 60453,
            58425, 51919, 80320, 16, 7284, 22653, 88814, 8992, 45863, 49093, 75112, 78825,
            19340, 42012, 92827, 16663, 93420, 64042, 77969, 60083, 22428, 39536, 72060,
            62887, 19679, 68676, 5087, 80776, 56848, 74882, 77899, 78872, 30566, 63056,
            8385, 33074, 31248, 19720, 62938, 43830, 30848, 31265, 60158, 29340, 65334,
            4722, 30395, 57515, 22803, 31065, 67007, 96895, 93466, 40978, 16706, 39598,
            70610, 16173, 87098, 49, 9649, 79275, 56307, 61864, 42203, 60831, 74121, 3753,
            71358, 23570, 36744, 12385, 71280, 96312, 66678, 49343, 17520, 64561, 37369,
            69966, 91294, 20019, 49224, 48853, 42056, 23247, 2972, 8745, 33433, 1929, 37524,
            8663, 2758, 62134, 97293, 47625, 2359, 94015, 50166, 62332, 46823, 74320, 8838,
            45491, 96487, 86633, 14552, 10124, 7740, 17756, 24645, 89992, 76342, 48362,
            48312, 49239, 21532, 55128, 60947, 30895, 15107, 91258, 8748, 66612, 93818,
            50608, 33442, 17916, 43166, 80219, 73380, 42367, 34956, 22515, 64425, 74998,
            92795, 93411, 20741, 33859, 38750, 75425, 70286, 79961, 71658, 86490, 98447,
            88820, 34187, 50047, 77656, 94944, 64596, 10025, 76675, 94939, 88493, 64629,
            55330, 51484, 63708, 66208, 41165, 12908, 72753, 28176, 93954, 15307, 89304,
            77610, 1745, 13303, 28978, 90911, 17780, 89741, 20476, 11217, 910, 26362, 80512,
            4941, 539, 24559, 26256, 40347, 36437, 94072, 94928, 93353, 4117, 66763, 38651,
            59637, 50537, 79261, 15276, 5746, 68597, 82867, 46732, 52371, 1936, 65886,
            68405, 84996, 52508, 61312, 33577, 29891, 62129, 4230, 82214, 8477, 77376,
            62725, 28065, 66356, 81745, 43958, 21168, 90543, 99293, 44902, 95290, 64045,
            94639, 74411, 61564, 62416, 22026, 28755, 1291, 93271, 35437, 93325, 5239,
            71239, 34716, 24839, 94689, 16491, 82410, 64427, 7368, 70446, 38997, 76405,
            49584, 73404, 80699, 94205, 22052, 65096, 62090, 3050, 69307, 95622, 30173,
            89589, 56594, 27417, 89469, 82840, 5221, 32279, 46443, 94628, 1163, 10629,
            85364, 61131, 68774, 81775, 65911, 38887, 69298, 10607, 9881, 97209, 12547,
            39143, 73263, 28353, 66317, 91721, 76231, 99250, 81678, 15198, 86002, 18760,
            52649, 38636, 64079, 99557, 8352, 39629, 75265, 7633, 49356, 2786, 96403, 15326,
            79563, 54359, 8832, 38747, 53633, 18092, 29788, 99785, 6443, 60613, 8168, 10325,
            77728, 79239, 35412, 39271, 5547, 9596, 43553, 90774, 10252, 94003, 61408,
            31770, 71497, 61687, 6390, 55550, 1266, 67718, 92063, 28067, 89875, 86562,
            46147, 33283, 4121, 32073, 56628, 65600, 6796, 58317, 63722, 99618, 66032,
            63714, 63317, 94136, 57480, 33466, 95879, 20602, 22791, 5139, 37759, 82211,
            10735, 14782, 99327, 1067, 21520, 27534, 97286, 38034, 9450, 61091, 99665, 627,
            76695, 8317, 90432, 39725, 27030, 79997, 93219, 67546, 77132, 24888, 75403,
            2010, 91841, 52837, 44706, 94611, 81781, 53030, 30218, 14801, 80790, 23897,
            1904, 81421, 22788, 1728, 74400, 71240, 64200, 92522, 12191, 93148, 42996,
            15218, 5421, 12409, 85395, 32025, 25750, 26790, 13161, 81385, 41039, 20273,
            56795, 45208, 83544, 73910, 67441, 82458, 13233, 74390, 68957, 64065, 52149,
            85177, 43439, 65709, 67525, 53173, 81679, 27869, 71314, 69633, 91660, 88098,
            40767, 96480, 39010, 8960, 25565, 3906, 1782, 53729, 46718, 32924, 21926, 378,
            99449, 56499, 80336, 62529, 83686, 64255, 53957, 25462, 92525, 29061, 93962,
            60387, 76290, 60412, 88600, 83294, 40328, 77536, 41938, 80650, 44151, 14490,
            56818, 59352, 44934, 47224, 47492, 13765, 60818, 53500, 14462, 35161, 46116,
            17063, 2682, 9083, 16021, 61651, 6066, 44691, 13804, 70509, 25879, 84096, 7502,
            89443, 59774, 48410, 4690, 56557, 98412, 91009, 81376, 35974, 57440, 66067,
            52465, 66006, 63475, 72223, 3903, 60145, 5856, 1099, 47243, 80068, 8983, 96769,
            56173, 66125, 3926, 99978, 89749, 31822, 46041, 74126, 64911, 34455, 60952,
            42060, 99200, 40153, 46089, 37585, 50508, 87965, 64840, 86449, 78429, 37408,
            2997, 5976, 67907, 67822, 88306, 64401, 95380, 85734, 63151, 25929, 12292,
            88809, 55155, 435, 67182, 26686, 50255, 85365, 74547, 74107, 28888, 42861,
            63242, 12960, 15236, 37446, 21603, 69089, 39658, 88856, 94232, 73994, 89687,
            5678, 25177, 9360, 62934, 77772, 86888, 82005, 60350, 9461, 77058, 54363, 46513,
            58914, 5670, 44657, 45121, 22892, 89498, 11659, 60382, 67454, 4163, 17725,
            12135, 83345, 12929, 23027, 78443, 80264, 41416, 25261, 54134, 11460, 75121,
            10632, 65566, 11787, 62989, 39695, 23183, 67935, 54009, 89018, 66423, 9458,
            9913, 16642, 20711, 16501, 72068, 59710, 56321, 41516, 68125, 11609, 28565, 118,
            43932, 97629, 56440, 2329, 10020, 25635, 8579, 98828, 29097, 87668, 28472,
            65765, 45924, 92417, 159, 50042, 49102, 10877, 14660, 4271, 77419, 1574, 80435,
            83828, 52059, 12388, 84408, 45132, 31714, 54446, 90371, 20801, 72106, 39548,
            42219, 23203, 40968, 91263, 21336, 29744, 59359, 47463, 51598, 85604, 38482,
            19532, 9767, 70009, 62702, 87164, 42663, 42977, 20130, 85307, 89888, 37610,
            48686, 47674, 68352, 74322, 27043, 83446, 71812, 62520, 42029, 47251, 65300,
            49476, 87246, 70701, 1871, 87225, 86817, 7008, 17315, 62579, 39855, 57703,
            20908, 70940, 17541, 45025, 42722, 40500, 39316, 87416, 60242, 53221, 28145,
            63913, 46140, 86175, 54185, 55327, 31567, 54249, 91780, 2201, 12054, 36965,
            52419, 1699, 6402, 84107, 20783, 29002, 73078, 8109, 92724, 73578, 3205, 60100,
            8829, 37927, 8975, 60681, 33907, 59542, 8730, 87423, 60062, 35351, 17716, 23208,
            96233, 25199, 76211, 83307, 720, 40742, 80315, 53466, 16127, 90854, 75486,
            75771, 73808, 19484, 93477, 3159, 37859, 98122, 31400, 74970, 95802, 99647,
            2254, 85334, 27070, 16216, 52744, 41205, 80804, 85641, 90055, 77596, 45466,
            76822, 52971, 38776, 90236, 29229, 4598, 85130, 47899, 40206, 97394, 90180,
            25052, 19331, 48334, 66386, 67019, 94953, 54138, 96467, 23222, 63454, 77214,
            56295, 92387, 18369, 56185, 3779, 19545, 44122, 15090, 33272, 20906, 52142,
            30597, 22305, 37121, 58183, 716, 98208, 61476, 2676, 23864, 42259, 54704, 16848,
            5621, 64920, 69405, 2768, 6036, 57942, 22429, 70932, 17434, 96818, 15395, 61325,
            98853, 1481, 90970, 10838, 34221, 31610, 8108, 5536, 34660, 23745, 30300, 3602,
            24667, 22213, 96586, 49165, 98227, 98776, 67372, 61726, 12671, 3334, 76734,
            6406, 16613, 18264, 17872, 41380, 86349, 79041, 893, 57483, 38095, 75571, 98188,
            24401, 35217, 86654, 27793, 98746, 22043, 52263, 57153, 38469, 58359, 80130,
            13040, 24995, 87035, 4919, 19369, 38075, 76119, 59439, 3006, 87147, 78547,
            26609, 79919, 98571, 75342, 78586, 37776, 76484, 43842, 15173, 99986, 564,
            91368, 62465, 54799, 54911, 59610, 22712, 80375, 22143, 58437, 38209, 47927,
            49350, 70002, 81852, 66327, 99332, 41838, 28564, 11444, 11978, 59479, 2803,
            63074, 88060, 55501, 95668, 65672, 75634, 73175, 9305, 84788, 15340, 31618,
            19403, 23190, 57311, 40832, 73055, 199, 94940, 27696, 37414, 40600, 21902,
            67511, 91240, 71502, 74631, 27175, 58370, 52993, 52589, 98945, 8298, 88950,
            84624, 54322, 97445, 46318, 78409, 30290, 78518, 67897, 74025, 35832, 14554,
            70044, 73862, 93493, 25956, 9911, 20966, 2810, 19631, 96824, 84545, 445, 75665,
            5170, 64489, 51202, 86730, 90735, 13585, 26093, 55341, 24897, 96291, 745, 44871,
            62254, 40180, 28846, 29432, 6277, 69368, 56798, 41109, 14097, 7602, 32042,
            10736, 25229, 57549, 91127, 14365, 28686, 21134, 49776, 49736, 93656, 29688,
            77878, 97421, 50250, 46787, 28128, 45916, 83472, 28367, 63013, 40953, 46591,
            1369, 3002, 40988, 99649, 38642, 7579, 27125, 90745, 54572, 37054, 79236, 32775,
            58617, 24598, 13275, 33204, 75345, 60578, 6410, 46607, 84738, 94684, 35873,
            48639, 22306, 31451, 93398, 54421, 58486, 59897, 99556, 58965, 59073, 82881,
            62615, 51200, 82021, 20873, 93548, 21033, 68010, 44051, 35420, 3211, 74668,
            65827, 55650, 56419, 92788, 16978, 22734, 39023, 8130, 92888, 18113, 76939,
            40622, 45408, 63539, 54306, 42665, 80598, 78824, 10321, 57902, 90611, 5298,
            66494, 43211, 18005, 7480, 61699, 29412, 27833, 60014, 73451, 145, 98173, 64763,
            23072, 82141, 45569, 11901, 85665, 7591, 20045, 57895, 41003, 51530, 76913, 747,
            4141, 83012, 80344, 1795, 11404, 34318, 3166, 64802, 68553, 77398, 20116, 79304,
            29672, 99051, 855, 67735, 56220, 43549, 51653, 30681, 54, 48514, 6760, 56939,
            96422, 70852, 39903, 97153, 76657, 85144, 32287, 25377, 65800, 15422, 48011,
            84292, 19762, 94023, 63179, 63416, 87280, 7225, 45698, 5086, 21406, 73950,
            64575, 6397, 18542, 76992, 62826, 83377, 42888, 1670, 7979, 57275, 78616, 38125,
            87680, 60076, 76907, 99891, 79595, 54986, 97754, 55061, 30098, 10590, 84313,
            73728, 89596, 98773, 74340, 88821, 63902, 402, 32046, 43689, 46441, 18820,
            37953, 67540, 22443, 28645, 57772, 41465, 44884, 9513, 97146, 40698, 84638,
            24020, 2101, 1822, 23062, 88958, 77182, 8894, 33944, 33674, 94888, 53, 56142,
            14333, 65712, 13580, 34412, 50980, 24222, 13302, 91483, 44010, 38162, 92914,
            7348, 15924, 58731, 83468, 94902, 94663, 41533, 33131, 8272, 42754, 91871,
            84046, 50411, 67528, 30954, 97284, 56298, 62836, 99811, 6681, 67069, 67269,
            36242, 21022, 60040, 49012, 84864, 75619, 68413, 93702, 86715, 24874, 90814,
            91715, 37211, 93073, 80217, 48886, 25149, 798, 1613, 98532, 93250, 79217, 25770,
            54839, 42815, 36201, 80391, 43243, 27137, 38977, 25979, 59187, 31167, 87072,
            78546, 32731, 92674, 19054, 4533, 28122, 74, 91919, 21132, 91398, 72579, 39852,
            19846, 6474, 42449, 80263, 58287, 24298, 18860, 24562, 52049, 72839, 49312,
            5540, 201, 22375, 10328, 13322, 19156, 57850, 74135, 35388, 53920, 78329, 5479,
            37676, 6091, 39879, 83729, 39154, 87661, 12789, 61421, 9473, 44391, 42345,
            16272, 54493, 10445, 10831, 64601, 66732, 15880, 89700, 43999, 62148, 268,
            82016, 25821, 93800, 9372, 62471, 48350, 51379, 474, 20984, 1711, 33711, 48681,
            29399, 28898, 19682, 27121, 7153, 52366, 74617, 82635, 39856, 79920, 58428,
            98949, 81548, 28868, 4481, 26719, 81936, 15017, 75319, 25748, 19592, 59186,
            50141, 76954, 16702, 70325, 56812, 2066, 98244, 96542, 59487, 84047, 37108,
            76319, 11772, 76019, 33553, 57221, 15908, 27198, 68361, 55689, 47034, 28900,
            64690, 15027, 92560, 19737, 64211, 69556, 46493, 79519, 6003, 20176, 77152,
            65128, 22307, 92067, 66142, 12663, 47673, 55659, 52152, 32448, 52460, 65329,
            41437, 89958, 21908, 71234, 71116, 2326, 74714, 26832, 7288, 99841, 4078, 60678,
            34541, 40878, 37136, 42052, 54201, 11536, 45963, 41115, 41268, 87327, 12673,
            52115, 51190, 60320, 85712, 44125, 66558, 31899, 53433, 78410, 59034, 41571,
            65102, 10958, 61172, 63124, 48691, 31531, 40960, 24918, 80356, 70270, 15270,
            16045, 10705, 82686, 70667, 44097, 22168, 2248, 18813, 72618, 57944, 74499,
            15647, 12862, 38769, 88993, 59159, 36194, 31367, 839, 8192, 29530, 68424, 34384,
            29128, 52661, 98788, 60340, 23758, 84645, 45547, 15184, 33702, 37680, 94578,
            54705, 70099, 51288, 42112, 88124, 42026, 23478, 7112, 60326, 66811, 69585,
            82312, 27504, 19494, 84873, 46053, 85374, 20851, 98267, 92108, 88986, 93118,
            96028, 39194, 42960, 32986, 54918, 53713, 24834, 7504, 37608, 20226, 73335,
            11289, 68012, 197, 48099, 47240, 99816, 45761, 17675, 25389, 6473, 84917, 35143,
            3698, 91570, 40014, 15137, 15505, 56767, 89022, 99077, 24254, 93650, 45619,
            59247, 56144, 30321, 25058, 80991, 79546, 40084, 4532, 86015, 35247, 87055,
            53209, 96030, 88382, 54511, 40408, 16730, 79058, 80809, 98044, 31131, 5435,
            47362, 37228, 43904, 76254, 18682, 93936, 94506, 64550, 25856, 89319, 35924,
            59719, 41474, 26129, 4060, 92516, 12020, 847, 51256, 89543, 90174, 89965, 45602,
            91050, 47847, 37563, 85345, 53816, 49085, 57550, 23408, 62382, 18418, 51280,
            35898, 71804, 696, 86563, 21998, 25126, 24690, 86098, 24608, 50013, 67558,
            70892, 71236, 51563, 67737, 20935, 79274, 31233, 25591, 9867, 35379, 96148,
            48527, 44563, 2115, 54194, 28471, 76453, 10267, 66961, 86040, 66901, 11820,
            34524, 1074, 62553, 49376, 63543, 40163, 73805, 41657, 83967, 69975, 44830, 290,
            45727, 68288, 8586, 6609, 59108, 44547, 65634, 85912, 85078, 52560, 35104,
            12538, 5105, 34476, 21269, 6243, 2731, 54321, 45144, 40758, 32384, 41342, 50671,
            35302, 62219, 77439, 68897, 66949, 21048, 95487, 52591, 4118, 88030, 93852,
            42221, 36899, 1778, 48094, 70142, 69101, 24877, 34946, 54437, 27280, 25262,
            13717, 35276, 83121, 66871, 82450, 58220, 27159, 62825, 13084, 52355, 64626,
            53895, 67923, 37737, 88354, 85908, 17639, 98101, 92166, 30987, 15297, 19145,
            72182, 1629, 16123, 78172, 1498, 28452, 28154, 14427, 61326, 4649, 30250, 37961,
            23284, 56078, 20959, 5142, 22610, 32786, 82986, 77759, 55244, 3865, 24668, 6388,
            75206, 48700, 20367, 96576, 46757, 58917, 15603, 2234, 64408, 19123, 61802,
            96560, 54529, 72541, 90294, 28050, 9878, 96986, 91610, 17195, 47771, 22738,
            79264, 33383, 60967, 64004, 9467, 49788, 9815, 24498, 69037, 78154, 64471,
            41320, 3221, 64446, 78070, 4089, 28958, 50029, 93427, 3388, 41958, 45642, 34307,
            36401, 75464, 70291, 94795, 50031, 24669, 76055, 9745, 73683, 32204, 17986,
            14790, 90301, 72270, 14888, 58237, 7461, 92562, 9842, 45948, 94511, 22082,
            66178, 23531, 87251, 22434, 53561, 90507, 33163, 80425, 59790, 22234, 95142,
            23737, 50012, 19728, 34480, 71818, 80628, 79444, 50076, 62266, 41067, 68608,
            15679, 24319, 68152, 62054, 41677, 59028, 37052, 97290, 13390, 37302, 14989,
            30063, 38465, 17370, 72750, 34744, 91231, 39475, 27024, 53495, 36725, 4212,
            92650, 45020, 80290, 17306, 14423, 70744, 85476, 65129, 40759, 36743, 35003,
            20373, 36307, 40716, 89644, 88434, 99310, 94731, 58565, 27170, 32224, 64922,
            59836, 46366, 66906, 18948, 10952, 24363, 36985, 79662, 92531, 54516, 92161,
            81016, 51218, 73155, 56844, 38702, 88159, 67663, 1259, 88893, 32703, 95073,
            75696, 30165, 87304, 82027, 46275, 62854, 73593, 82443, 86921, 14052, 34635,
            70708, 92054, 38633, 3895, 94131, 97853, 22543, 50903, 45737, 72101, 79994,
            12422, 71303, 38802, 64529, 60886, 69788, 22407, 34645, 79436, 97688, 47373,
            3530, 8087, 25194, 74177, 85991, 82043, 85104, 81851, 65916, 64734, 97180,
            39237, 59887, 63107, 9922, 11579, 24097, 64953, 77382, 57318, 3937, 98160,
            23949, 3667, 56250, 83776, 33974, 86712, 59367, 59340, 9153, 62967, 59769,
            32734, 99152, 92292, 51268, 2800, 13679, 45581, 39507, 32443, 22508, 96432,
            61427, 49490, 47485, 47822, 18311, 9977, 23279, 83286, 33013, 82627, 99702,
            27493, 62525, 75057, 18194, 37290, 41682, 8468, 53722, 88312, 28395, 87276,
            59115, 37220, 35634, 60665, 56335, 8359, 68969, 45062, 81552, 39368, 20812,
            86972, 9312, 56674, 6853, 7685, 23826, 47312, 63347, 91117, 31840, 16296, 49399,
            44186, 14373, 24240, 5415, 64869, 22137, 40727, 901, 20552, 29109, 433, 15941,
            52188, 14439, 57433, 83388, 6913, 80398, 31061, 39170, 60946, 43832, 22098,
            62228, 77540, 99539, 86482, 73498, 89178, 33490, 71774, 36556, 65578, 46398,
            29802, 8165, 77517, 90483, 95319, 69435, 18017, 56992, 78433, 34447, 99048,
            36107, 61487, 86216, 58461, 60499, 17435, 65168, 72641, 85176, 82971, 29923,
            44072, 31622, 37416, 48785, 22804, 66916, 82879, 50082, 14160, 82558, 48793,
            95598, 34385, 81279, 50985, 23026, 52270, 28697, 53829, 38711, 72456, 24926,
            43590, 72304, 45024, 23061, 13435, 92303, 85847, 23300, 98159, 80566, 41757,
            15290, 39330, 90132, 31044, 89804, 42854, 96760, 46851, 50458, 13879, 80271,
            76328, 10879, 67048, 99680, 38963, 27255, 42439, 98174, 83126, 61203, 44954,
            66604, 52611, 19135, 39885, 34807, 59589, 3223, 76242, 68041, 98273, 69395,
            11327, 50452, 14917, 4095, 68308, 69933, 85502, 32107, 33344, 35863, 8697,
            94214, 54724, 85824, 89856, 7980, 20555, 36703, 12954, 9858, 14381, 37722,
            83530, 73526, 80196, 59743, 28743, 26323, 69789, 15720, 39157, 39561, 7352,
            67472, 31303, 16397, 28437, 57073, 19455, 27230, 53675, 6848, 88664, 72550,
            18350, 13108, 62412, 31120, 17463, 74800, 3216, 24434, 89455, 86039, 40406,
            38807, 76538, 69784, 8136, 85909, 35799, 17255, 15179, 55863, 1090, 71182,
            18709, 15993, 6937, 16304, 9457, 50765, 83448, 38254, 86759, 72177, 27957,
            94544, 21150, 15314, 52327, 8529, 94018, 28994, 97846, 37102, 21808, 72878,
            39388, 4787, 19611, 6227, 25265, 99336, 41217, 48161, 63093, 67928, 24587,
            34632, 68498, 51208, 23031, 61812, 16069, 10668, 20660, 1664, 54137, 22012,
            24368, 15852, 61195, 28979, 76269, 75173, 34209, 9155, 860, 7360, 74635, 44942,
            64464, 51295, 1096, 68460, 92602, 49304, 12888, 72843, 89841, 8736, 40441,
            45462, 90434, 54582, 69009, 90307, 52041, 87782, 68007, 38335, 1094, 67297,
            48415, 24705, 98291, 33954, 33512, 12756, 46879, 50810, 77207, 58226, 50691,
            64940, 56257, 61216, 35425, 44742, 1115, 92799, 75617, 36161, 71641, 59644,
            58292, 30921, 90167, 78440, 22528, 48367, 28205, 30859, 60060, 19417, 13773,
            64841, 53596, 93130, 112, 97634, 5038, 21036, 98451, 43604, 38129, 37, 65375,
            54593, 99757, 61796, 15813, 65830, 4348, 73629, 3011, 98716, 56613, 52301,
            81506, 74497, 33284, 94863, 60287, 22322, 12382, 70883, 33988, 92290, 59724,
            99819, 87836, 29297, 51173, 28746, 99932, 73161, 52341, 82316, 6948, 15459,
            68687, 36451, 88128, 26158, 27603, 71499, 48825, 12144, 65085, 43339, 9582,
            8504, 98205, 93808, 66155, 72714, 44464, 71039, 53728, 61705, 40538, 94275,
            31159, 49018, 78520, 49930, 15520, 43449, 67319, 35408, 85453, 63066, 33190,
            89809, 27892, 7168, 74084, 26302, 96017, 99430, 52563, 81899, 99494, 22827,
            11275, 89059, 40597, 58305, 81387, 3776, 20134, 92932, 21899, 35728, 16989,
            7228, 94784, 69118, 68280, 83201, 53187, 16500, 15752, 84721, 34856, 47026,
            1706, 92380, 19547, 23775, 15688, 35585, 66703, 19982, 86046, 5591, 28857,
            30618, 42006, 87193, 10982, 30830, 31317, 64801, 48054, 34782, 91025, 33969,
            61997, 17446, 67299, 58316, 27706, 50718, 69225, 83150, 13745, 59818, 1852,
            47317, 79806, 4968, 72645, 356, 55646, 1912, 5969, 306, 96272, 93655, 37294,
            49111, 47066, 74846, 8720, 32710, 83528, 10404, 3591, 62290, 11117, 64219,
            69753, 43179, 73653, 4544, 70267, 50935, 88396, 14380, 10163, 10231, 81573,
            68265, 38913, 75056, 61198, 51051, 38578, 85962, 74782, 58947, 85828, 62753,
            8202, 47680, 81037, 70722, 16467, 34900, 85151, 2881, 5635, 74227, 98690, 18251,
            56564, 52033, 63541, 28294, 84528, 62245, 37604, 60622, 13106, 29156, 351,
            38323, 66100, 73983, 52326, 53142, 79671, 50707, 55344, 82733, 69743, 566,
            63447, 19450, 64229, 6613, 19344, 84906, 99210, 223, 79223, 90836, 81979, 68020,
            41726, 15553, 59135, 54390, 45189, 45827, 43807, 38139, 86458, 41231, 58033,
            21243, 74315, 51676, 5299, 82012, 39791, 28272, 16878, 24081, 82743, 10720,
            22396, 26951, 51733, 85718, 87069, 53247, 54878, 56924, 40024, 36008, 52923,
            6065, 45647, 39101, 83981, 89312, 75990, 96671, 20075, 30201, 31214, 3843,
            63969, 8985, 37543, 70612, 20859, 58392, 83906, 90097, 93063, 64101, 95118,
            71046, 41033, 75035, 71061, 33184, 29683, 11437, 11534, 13894, 88350, 70319,
            93309, 28533, 56553, 8689, 93595, 73051, 81165, 67336, 44967, 97230, 44456,
            6105, 63828, 99982, 18466, 22563, 31141, 59242, 69431, 83873, 53791, 59853,
            63891, 24630, 78539, 85863, 26293, 42579, 11890, 82654, 51524, 69726, 14388,
            70352, 65449, 35216, 35858, 97493, 59691, 77235, 19303, 47804, 10453, 33098,
            26012, 42304, 71691, 49194, 50847, 47457, 22647, 47093, 77724, 93797, 25337,
            62703, 50973, 80588, 29815, 99582, 77628, 54843, 72247, 67688, 18620, 33736,
            98420, 42551, 46166, 71305, 51306, 53484, 96849, 90757, 57532, 50227, 67450,
            50245, 9466, 90357, 43816, 19435, 18099, 57368, 64732, 85633, 83254, 75803,
            33641, 71609, 904, 34898, 37572, 69349, 11036, 97351, 51387, 51424, 77891, 1709,
            35097, 29742, 71020, 56345, 68610, 25453, 82788, 27813, 60928, 95061, 19730,
            96401, 32756, 61863, 70152, 6942, 64846, 44361, 6194, 29697, 30384, 19392,
            75344, 2090, 34731, 82436, 12347, 23309, 64969, 99813, 57731, 51896, 94158,
            57338, 5912, 61375, 59167, 17821, 90878, 38010, 79201, 26432, 38347, 11655,
            38243, 18132, 24850, 97285, 48929, 77768, 7265, 66163, 11889, 22753, 52722,
            47851, 74074, 28156, 6099, 38155, 67648, 24657, 61045, 84169, 96320, 32778,
            67443, 34961, 59777, 19804, 49650, 61116, 75454, 40210, 16791, 35627, 10213,
            49439, 95356, 98185, 50294, 6695, 84242, 81841, 80041, 66717, 34449, 22848,
            71789, 73071, 46509, 79998, 76788, 27904, 69902, 82062, 92567, 83836, 52062,
            44449, 75330, 96900, 24561, 97765, 44002, 1883, 91028, 66262, 91531, 68614,
            76450, 16962, 14466, 11952, 52491, 91961, 86286, 24937, 43303, 47508, 66900,
            74743, 36028, 522, 87099, 54748, 90498, 52422, 26868, 54079, 69806, 14237,
            44507, 72444, 42171, 83309, 87344, 92424, 99384, 2591, 46324, 82876, 44837,
            60306, 66062, 82351, 78999, 27105, 68838, 88625, 93326, 72283, 76299, 74004,
            34813, 75865, 66636, 31040, 49412, 12787, 39956, 28993, 30060, 25079, 45236,
            84223, 41491, 90740, 42565, 49854, 56642, 86089, 93017, 15594, 92746, 1788,
            81701, 72858, 37346, 86624, 24306, 24726, 74204, 7513, 64507, 83659, 37014,
            70856, 39055, 23105, 55013, 94470, 72, 63333, 90822, 49403, 88741, 40411, 86792,
            66598, 92413, 49815, 32787, 46003, 8314, 59278, 18776, 43592, 50018, 23747,
            30398, 35069, 82424, 65921, 94751, 68804, 79073, 10458, 70682, 47588, 49434,
            2498, 97324, 70732, 32059, 20693, 2116, 73057, 51687, 52335, 65050, 61670,
            18804, 80015, 30757, 73799, 47545, 70401, 75837, 36139, 5584, 9375, 52302,
            22309, 62908, 44258, 31533, 43906, 77011, 23760, 90464, 59203, 57035, 13867,
            55444, 32472, 83823, 57084, 17405, 52796, 9056, 37675, 31684, 91637, 85276,
            11248, 51577, 21471, 78452, 10457, 68977, 35503, 24613, 14618, 22128, 61859,
            23548, 32141, 35262, 43425, 95936, 14944, 99072, 74605, 53933, 53012, 24898,
            84841, 94927, 52225, 66754, 73543, 37640, 86081, 53571, 93053, 45742, 7401,
            32121, 15792, 76373, 911, 54225, 2620, 98082, 19253, 29282, 29968, 51786, 68967,
            68714, 39212, 25437, 74213, 41937, 80616, 65463, 64951, 5094, 17944, 65400,
            38731, 95868, 57806, 55828, 70593, 10191, 14323, 19480, 9228, 43513, 78178,
            90022, 81106, 14068, 72524, 72347, 66824, 34013, 77815, 81595, 11405, 50305,
            91074, 79831, 74701, 83, 70608, 71795, 20391, 12439, 90712, 28971, 80880, 33359,
            17697, 11865, 51245, 3372, 23233, 2043, 77689, 45566, 87597, 88083, 64861,
            96120, 49309, 55485, 25534, 76246, 7622, 61583, 660, 85402, 92644, 95306, 45702,
            54716, 73818, 91915, 97593, 94047, 13764, 28563, 95348, 82730, 3993, 11174,
            55806, 70128, 29157, 7279, 12055, 50785, 71626, 27872, 73061, 43423, 97491,
            60255, 57960, 82834, 66613, 2127, 92512, 80805, 86580, 34978, 18485, 70199,
            70127, 69193, 19625, 45300, 85652, 26331, 17356, 66108, 99579, 80431, 48664,
            38417, 5448, 82658, 77846, 71622, 33391, 41823, 59653, 75053, 25235, 39803,
            46132, 62679, 29985, 13054, 59801, 82220, 45848, 62342, 10657, 94481, 96909,
            57276, 25297, 15628, 50001, 45915, 38722, 42288, 494, 95842, 78489, 59954,
            28026, 44312, 65980, 15953, 61782, 74224, 77624, 98017, 25388, 29879, 38820,
            42152, 26477, 20734, 90051, 42010, 34150, 74887, 38649, 98718, 83903, 19171,
            76173, 89437, 90150, 45542, 91148, 56768, 40439, 8436, 36554, 93917, 88325,
            3697, 30468, 11019, 69835, 1127, 7483, 93036, 79687, 27527, 35168, 75448, 72663,
            13287, 84893, 57292, 19168, 8103, 86033, 26921, 46978, 36626, 98500, 12090,
            63071, 70572, 91840, 8408, 6369, 15981, 90305, 88864, 4413, 74127, 55438, 29810,
            14698, 50058, 22748, 88000, 63436, 1267, 74753, 84196, 79871, 59732, 89148,
            73966, 4946, 43859, 70163, 99133, 65271, 64821, 55427, 70984, 4301, 66196,
            91040, 79743, 64807, 32598, 4921, 56693, 2574, 34824, 16019, 43817, 21083,
            81104, 87176, 18755, 58922, 29514, 47235, 28181, 29533, 50820, 97583, 94997,
            51654, 678, 90581, 42533, 85032, 90539, 9245, 85216, 74804, 87373, 32967, 6481,
            41723, 70110, 26980, 29982, 69859, 44318, 90344, 69056, 72844, 73598, 91469,
            44702, 82150, 73615, 50346, 78835, 71089, 45203, 34011, 79276, 70181, 77945,
            29192, 58663, 64083, 43005, 92662, 70522, 58321, 57372, 36773, 37598, 45012,
            39743, 5029, 14112, 22874, 73846, 27003, 88618, 54052, 65243, 70719, 17263,
            58645, 37199, 60452, 95589, 27078, 45886, 89961, 18071, 35754, 62871, 152,
            54778, 92052, 44307, 45985, 91894, 33786, 47667, 89637, 74525, 96632, 12779,
            16981, 98169, 29944, 77694, 19141, 46912, 52728, 53258, 27295, 56377, 32638,
            21625, 27945, 30684, 64678, 40200, 87323, 64599, 528, 79560, 21306, 8564, 16942,
            32525, 96325, 43843, 77630, 95672, 85366, 92982, 8818, 14873, 90756, 37954,
            94787, 34944, 33868, 1161, 10204, 64781, 50524, 6919, 50364, 23333, 74817,
            58750, 58279, 90830, 68922, 59883, 18334, 72054, 34413, 8643, 85923, 5241,
            88649, 55687, 723, 29, 2045, 52201, 40682, 98979, 37655, 55835, 88265, 70772,
            11866, 68187, 26406, 33535, 41402, 73006, 67687, 24090, 43438, 49754, 8384,
            52937, 31756, 64709, 95715, 54503, 26051, 4229, 4641, 32117, 24917, 25438,
            50132, 73720, 16648, 11589, 72686, 99124, 85584, 23663, 33100, 75791, 42690,
            21473, 15377, 3022, 37667, 27446, 32535, 21126, 65728, 22896, 64771, 72958,
            70535, 18184, 23586, 52858, 83993, 63542, 53213, 59800, 87678, 21918, 8884,
            39605, 1173, 48286, 95588, 29497, 13308, 42208, 31925, 51984, 370, 7632, 19713,
            24290, 6617, 3597, 91549, 86139, 59745, 71980, 740, 36211, 20157, 27225, 60277,
            88190, 1361, 60368, 52865, 89388, 6496, 88686, 6742, 22650, 46084, 1313, 82757,
            76513, 21350, 77631, 75730, 6659, 74053, 66220, 45021, 32215, 7214, 30466,
            91688, 17965, 21754, 10518, 24064, 54864, 3071, 53322, 67884, 44587, 10785,
            86885, 26842, 47602, 79231, 36719, 75388, 81926, 78627, 96192, 62673, 93834,
            28374, 64554, 17147, 86891, 85290, 83732, 87199, 63172, 51459, 82868, 15703,
            85025, 24942, 413, 35078, 31600, 14506, 76030, 54192, 25661, 82039, 14919, 1488,
            14252, 38739, 33027, 68818, 83637, 88087, 71703, 69197, 66440, 3715, 22274,
            41472, 50777, 64983, 73565, 75510, 89376, 26203, 40095, 51323, 23068, 78431,
            44402, 42173, 97795, 31075, 77463, 90545, 61234, 15222, 92632, 48759, 50779,
            9053, 72816, 12023, 25060, 74226, 92811, 77546, 99480, 14335, 15470, 51508,
            90221, 7085, 49934, 55579, 42711, 26171, 82433, 95811, 73052, 14330, 29225,
            13124, 46197, 48374, 5711, 50939, 74214, 80279, 95659, 59819, 16274, 23083,
            40069, 22750, 38216, 75487, 49612, 71957, 46407, 95087, 86954, 96896, 27982,
            88475, 65422, 32179, 60313, 49494, 69192, 5597, 71480, 799, 76506, 5865, 34637,
            39323, 37580, 41012, 97408, 78654, 19821, 27986, 21574, 14451, 44469, 6601,
            4492, 25302, 22311, 72847, 59405, 84064, 60755, 7059, 89970, 37644, 12478,
            72187, 30997, 47501, 44763, 14101, 71966, 37661, 1582, 82614, 81010, 49135,
            66707, 63592, 82060, 81233, 97406, 51642, 72008, 29553, 42701, 1070, 76372,
            58794, 87046, 52084, 25747, 42541, 71273, 85225, 65961, 35730, 93054, 67122,
            4950, 99760, 31478, 12, 95068, 7887, 55326, 90983, 30075, 30643, 32761, 94736,
            64562, 44840, 81807, 37081, 55622, 44792, 89746, 70153, 1203, 92509, 48249,
            38812, 39488, 88629, 53821, 72731, 8483, 14411, 85131, 53136, 88523, 74888,
            32830, 11055, 3349, 91944, 55143, 49437, 61763, 19470, 41043, 26820, 29774,
            77861, 12656, 77192, 34761, 89927, 17644, 96931, 24712, 54382, 14444, 75981,
            8010, 80955, 48166, 66609, 65074, 16008, 14027, 47893, 97780, 85212, 60634,
            46171, 80481, 34097, 46800, 1669, 32626, 70295, 1303, 39322, 77213, 64907,
            16432, 43518, 53549, 55373, 43144, 3381, 71186, 62706, 75197, 7394, 68710,
            29817, 42250, 2470, 10946, 58125, 67577, 3222, 86895, 89682, 20858, 18338,
            56771, 60424, 57416, 86240, 25897, 63298, 61065, 62599, 14553, 75575, 52145,
            82332, 49114, 21844, 44813, 6628, 84743, 95065, 52733, 51230, 50595, 8107,
            69881, 90266, 50248, 77852, 92170, 63554, 47483, 16783, 46118, 81328, 67566,
            24725, 23610, 87939, 94870, 69038, 57598, 56863, 27267, 1247, 9898, 74666,
            52288, 24804, 26738, 70397, 50323, 70209, 1348, 75192, 97608, 92394, 30926,
            83925, 27101, 61410, 39159, 9262, 97459, 31013, 53226, 96945, 19483, 91875,
            51685, 67860, 99617, 80796, 30696, 64791, 92762, 5083, 84507, 27183, 11714,
            64121, 21932, 46161, 81866, 26818, 9828, 64742, 43834, 48524, 42362, 94494,
            90567, 46377, 48335, 12164, 480, 3448, 51000, 74048, 65644, 79469, 61157, 43880,
            96689, 10072, 1663, 81638, 91470, 89066, 21380, 31106, 51187, 12338, 66019,
            92185, 24137, 74615, 74493, 9750, 39152, 58500, 59083, 36858, 20849, 44335,
            31949, 90729, 73124, 68961, 67882, 57076, 46595, 7219, 75627, 4338, 78649, 2179,
            4845, 77198, 2490, 50787, 73239, 69748, 83292, 49379, 45097, 23895, 4336, 14028,
            38108, 74657, 30666, 48512, 71362, 99573, 26800, 92070, 1839, 50569, 51647,
            1193, 83208, 53959, 19172, 30740, 4256, 77593, 51974, 38315, 3204, 56898, 56073,
            91920, 31429, 41032, 81305, 88177, 165, 13403, 71903, 5350, 74114, 96482, 3798,
            15809, 25544, 5005, 61608, 13149, 62440, 92231, 61741, 9625, 28099, 91996,
            66674, 27429, 12636, 74466, 67504, 6636, 62810, 13950, 98612, 34930, 8609, 5235,
            85803, 31607, 51862, 35462, 39694, 21852, 73030, 89097, 8997, 86001, 21249,
            73990, 73670, 90990, 23165, 34062, 5620, 34090, 14115, 36457, 4699, 29990,
            20415, 10168, 73951, 13171, 3244, 83070, 88792, 69739, 58446, 13748, 37324,
            46895, 570, 93283, 92571, 48738, 69638, 47003, 27807, 79728, 12755, 443, 69837,
            63091, 31241, 40378, 60992, 98677, 40607, 2197, 10614, 98988, 99699, 25342,
            58646, 93516, 67258, 10612, 28007, 3513, 3416, 20988, 35027, 83722, 56161,
            12291, 16155, 65124, 92779, 41300, 86225, 39992, 10395, 25017, 7815, 19444,
            52825, 68019, 42644, 53135, 21328, 39346, 7462, 74075, 83041, 56448, 81422,
            58041, 88341, 63843, 24380, 79891, 5962, 74199, 85663, 16802, 10136, 30179,
            88783, 70287, 41249, 23039, 22924, 11168, 91022, 86713, 34907, 59876, 47684,
            33154, 7106, 86938, 10009, 83230, 25590, 71791, 49750, 51135, 36923, 23702,
            57450, 58309, 49688, 69946, 8316];
        let result = Solution::longest_consecutive(nums);
        assert_eq!(result, 100000);
    }

}