011-Container-With-Most-Water.js

/**
 * https://leetcode.com/problems/container-with-most-water/description/
 * Difficulty:Medium
 *
 * Given n non-negative integers a1, a2, ..., an, where each represents a point
 * at coordinate (i, ai).
 * n vertical lines are drawn such that the two endpoints of line i is at (i, ai) and (i, 0).
 * Find two lines, which together with x-axis forms a container,
 * such that the container contains the most water.
 * Note: You may not slant the container and n is at least 2.
 */

/**
 * @param {number[]} height
 * @return {number}
 */
var maxArea = function (height) {
    var dp = [0];
    var max = 0;
    for (var i = 1; i < height.length; i++) {
        dp[i] = 0;
        for (var j = 0; j < i; j++) {
            var v = (i - j) * Math.min(height[i], height[j]);
            dp[i] = Math.max(dp[i], v);
        }
        max = Math.max(max, dp[i]);
    }
    // console.log(dp, max);
    return max;
};

/**
 * @param {number[]} height
 * @return {number}
 */
var maxArea = function (height) {
    var i = 0;
    var j = height.length - 1;
    var max = 0;
    while (i < j) {
        max = Math.max(max, Math.min(height[i], height[j]) * (j - i));
        if (height[i] < height[j]) i++;
        else j--;
    }
    return max;
};

// console.log(maxArea([3, 5, 1, 9]));
console.log(maxArea([9384, 887, 2778, 6916, 7794, 8336, 5387, 493, 6650, 1422, 2363, 28, 8691, 60, 7764, 3927, 541, 3427, 9173, 5737, 5212, 5369, 2568, 6430, 5783, 1531, 2863, 5124, 4068, 3136, 3930, 9803, 4023, 3059, 3070, 8168, 1394, 8457, 5012, 8043, 6230, 7374, 4422, 4920, 3785, 8538, 5199, 4325, 8316, 4371, 6414, 3527, 6092, 8981, 9957, 1874, 6863, 9171, 6997, 7282, 2306, 926, 7085, 6328, 337, 6506, 847, 1730, 1314, 5858, 6125, 3896, 9583, 546, 8815, 3368, 5435, 365, 4044, 3751, 1088, 6809, 7277, 7179, 5789, 3585, 5404, 2652, 2755, 2400, 9933, 5061, 9677, 3369, 7740, 13, 6227, 8587, 8095, 7540, 796, 571, 1435, 379, 7468, 6602, 98, 2903, 3318, 493, 6653, 757, 7302, 281, 4287, 9442, 3866, 9690, 8445, 6620, 8441, 4730, 8032, 8118, 8098, 5772, 4482, 676, 710, 8928, 4568, 7857, 9498, 2354, 4587, 6966, 5307, 4684, 6220, 8625, 1529, 2872, 5733, 8830, 9504, 20, 8271, 3369, 9709, 6716, 6341, 8150, 7797, 724, 2619, 2246, 2847, 3452, 2922, 3556, 2380, 7489, 7765, 8229, 9842, 2351, 5194, 1501, 7035, 7765, 125, 4915, 6988, 5857, 3744, 6492, 2228, 8366, 9860, 1937, 1433, 2552, 6438, 9229, 3276, 5408, 1475, 6122, 8859, 4396, 6030, 1238, 8236, 3794, 5819, 4429, 6144, 1012, 5929, 9530, 8777, 2405, 4444, 5764, 4614, 4539, 8607, 6841, 2905, 4819, 5129, 689, 7370, 7918, 9918, 6997, 3325, 7744, 9471, 2184, 8491, 5500, 9773, 6726, 5645, 5591, 7506, 8140, 2955, 9787, 7670, 8083, 8543, 8465, 198, 9508, 9356, 8805, 6349, 8612, 3623, 7829, 9300, 7344, 5747, 5569, 4341, 5423, 3312, 3811, 7606, 1802, 5662, 3731, 4879, 1306, 9321, 8737, 9445, 8627, 8523, 3466, 6709, 3417, 8283, 3259, 2925, 7638, 2063, 5625, 2601, 2037, 3453, 1900, 9380, 5551, 7469, 72, 974, 7132, 3882, 4931, 8934, 5895, 8661, 164, 7200, 7982, 8900, 2997, 2960, 3774, 2814, 9669, 7191, 1096, 2927, 6467, 5085, 1341, 2091, 7685, 3377, 5543, 5937, 9108, 7446, 9757, 9180, 8419, 6888, 9413, 3349, 2173, 1660, 2010, 2337, 5211, 6343, 7588, 8207, 9302, 7714, 7373, 5322, 1256, 4820, 4600, 7722, 9905, 5940, 9812, 3941, 5668, 1706, 6229, 1128, 9151, 5985, 6659, 3921, 9225, 2423, 7270, 1397, 4082, 5631, 85, 9293, 1973, 7673, 3851, 7626, 5386, 1223, 9300, 6641, 6043, 3899, 714, 2299, 6191, 525, 2591, 8210, 8582, 8820, 9337, 7733, 1156, 5995, 8005, 380, 4770, 5274, 1777, 8851, 7256, 1861, 8143, 5580, 5885, 1994, 3206, 7622, 9568, 2505, 614, 1962, 2755, 1327, 4260, 8945, 8203, 3203, 3507, 6785, 2022, 2843, 869, 9529, 5190, 8873, 9909, 9959, 499, 8037, 8809, 7754, 6249, 3304, 3334, 2134, 1649, 2891, 9755, 7568, 1747, 369, 9530, 4501, 8047, 3789, 9798, 6250, 6991, 3304, 3034, 5364, 2498, 254, 4893, 7687, 9126, 1153, 3997, 5976, 9189, 9158, 3730, 5437, 2461, 3415, 3922, 461, 6305, 29, 8028, 8051, 6749, 7557, 8903, 4795, 7698, 8700, 1044, 1040, 2003, 429, 6404, 4501, 682, 7648, 8539, 6160, 5152, 2536, 2135, 4340, 1693, 2216, 6128, 505, 5630, 50, 965, 8286, 6430, 5344, 6336, 3178, 2901, 5239, 7972, 6950, 290, 5368, 7989, 2293, 5796, 744, 3145, 2830, 8391, 1683, 5341, 3542, 570, 3827, 4233, 2262, 6043, 361, 9118, 8024, 6762, 82, 6310, 3191, 5426, 8997, 6368, 4678, 4235, 691, 1627, 4525, 6058, 9615, 3169, 8206, 359, 6313, 7387, 5101, 4347, 2727, 4995, 4917, 6553, 5579, 3530, 8947, 2291, 2648, 6971, 9052, 9081, 9632, 8594, 858, 8628, 1313, 1887, 9215, 8356, 3513, 91, 4413, 9480, 9611, 8970, 6190, 2275, 6356, 7642, 6621, 5434, 8988, 7889, 8339, 4567, 7771, 7285, 6857, 418, 607, 2261, 5850, 238, 7206, 3060, 5218, 8519, 4946, 784, 6874, 8459, 874, 7638, 4290, 484, 6608, 479, 2758, 9315, 4472, 5730, 1101, 3460, 3619, 9439, 8026, 1389, 3075, 1234, 8158, 3682, 3494, 359, 271, 700, 3418, 1840, 5570, 8364, 2623, 8795, 3174, 9848, 6432, 7463, 6683, 9391, 4293, 5792, 5058, 5116, 1522, 6158, 8575, 1492, 1948, 2952, 9232, 5022, 538, 3741, 5055, 4031, 4099, 5326, 1082, 7517, 3517, 3003, 2232, 6140, 1797, 5405, 2339, 4581, 9219, 9022, 3971, 9863, 4813, 5380, 4978, 2686, 1537, 9905, 4177, 3484, 9208, 9760, 4858, 9745, 3500, 9912, 128, 3951, 5237, 7561, 7819, 5106, 564, 50, 1245, 8712, 1806, 9935, 3292, 7376, 8956, 3615, 3590, 3769, 8994, 4919, 2806, 6883, 4823, 6983, 6718, 4031, 3094, 1575, 127, 6594, 1487, 254, 544, 3075, 7815, 4714, 8180, 8378, 4763, 5776, 7089, 2920, 5711, 6733, 295, 1018, 347, 236, 1138, 5692, 5154, 3944, 2574, 6329, 926, 9292, 6711, 4019, 7218, 6837, 6964, 5056, 7091, 3859, 8131, 4905, 8572, 2662, 9634, 9686, 4790, 3074, 2605, 6852, 9806, 9251, 7869, 6504, 9486, 9007, 2196, 4640, 2950, 1121, 968, 227, 6764, 7678, 597, 3982, 866, 7561, 9037, 7956, 7771, 3519, 9212, 6343, 2533, 5197, 2380, 7322, 8271, 4985, 4173, 4428, 4235, 2041, 7284, 73, 7399, 5831, 1064, 348, 6951, 2031, 574, 3715, 6060, 7523, 4048, 6925, 5083, 9436, 1233, 9205, 2955, 444, 1899, 5487, 5641, 4279, 9160, 263, 9263, 9684, 1042, 9849, 1724, 8325, 6273, 9123, 4155, 7336, 5822, 7458, 9366, 2748, 1172, 1777, 270, 5219, 8702, 1704, 4654, 9934, 908, 3960, 6729, 2807, 5798, 8721, 7085, 1309, 5335, 2699, 992, 6377, 8899, 2716, 1053, 5172, 8190, 1560, 2507, 4011, 9017, 8225, 3110, 6540, 1, 3379, 8110, 5054, 5082, 9115, 1339, 5990, 9427, 8068, 5148, 5224, 6788, 2232, 6533, 2123, 1282, 3876, 4851, 180, 6591, 2255, 5351, 1132, 3814, 7858, 1495, 9182, 6082, 4604, 5721, 2434, 7983, 182, 7488, 9416, 9297, 8826, 5405, 8723, 6893, 552, 298, 33, 9135, 3182, 8507, 416, 7058, 9709, 596, 10000, 1963, 2298, 7484, 5777, 155, 8978, 1310, 2588, 9933, 3383, 5022, 4267, 3564, 8861, 3683, 9212, 7686, 9087, 4286, 931, 5991, 4584, 7315, 1477, 4117, 5821, 1893, 7526, 5529, 8840, 7526, 7491, 1137, 1361, 9619, 7644, 338, 929, 6583, 6622, 4311, 7956, 889, 4226, 6816, 4571, 3438, 854, 9, 7723, 1784, 2351, 8658, 9098, 3828, 9127, 1270, 2072, 6652, 3150, 911, 529, 640, 8399, 1889, 6611, 2394, 8578, 3891, 8977, 5200, 4553, 6932, 6088, 8778, 100, 658, 8567, 953, 7018, 2642, 2736, 9369, 1299, 8185, 3196, 6777, 5806, 5267, 3429, 8955, 2529, 309, 9594, 7279, 2198, 2556, 9673, 775, 6446, 5001, 2326, 998, 8284, 8413, 6128, 8383, 5422, 4694, 9335, 2440, 7335, 8422, 8160, 4986, 2958, 1355, 1762, 8763, 2973, 1542, 7717, 1853, 1851, 3663, 5483, 400, 6218, 5155, 1174, 9016, 6507, 9852, 6365, 4791, 8264, 2492, 3173, 38, 3538, 8860, 8829, 872, 7281, 6988, 5857, 6591, 8342, 3971, 5353, 7666, 5512, 3070, 9518, 7362, 3084, 1352, 4113, 9301, 6507, 1639, 4668, 9365, 1490, 1033, 4155, 6105, 9876, 3680, 6142, 3413, 2539, 4970, 637, 6171, 1957, 2845, 2761, 6650, 6815, 4466, 4315, 2327, 3887, 184, 6040, 6970, 1536, 153, 2622, 4394, 1791, 7290, 110, 9632, 4674, 4265, 5736, 4549, 4296, 1878, 4314, 6834, 3199, 4950, 9356, 5156, 7794, 8469, 8157, 961, 2934, 8824, 3287, 3172, 5359, 5678, 141, 3246, 2182, 2762, 3991, 324, 51, 4101, 9955, 1076, 8365, 2043, 5625, 2660, 3920, 6290, 5845, 3470, 1239, 1552, 4977, 5384, 20, 3134, 6344, 9305, 1957, 5982, 2476, 3667, 8012, 8968, 6913, 193, 1730, 903, 6869, 8132, 5003, 3175, 9208, 9719, 5217, 1184, 2378, 5488, 7473, 4574, 8958, 5063, 6126, 3934, 6798, 2497, 3419, 3142, 8154, 1727, 5475, 6981, 5394, 3486, 5949, 2306, 31, 4030, 9560, 6899, 2161, 4563, 6425, 7720, 4281, 1642, 8903, 3011, 3481, 2727, 7584, 8790, 4141, 3709, 2724, 939, 2558, 2494, 432, 711, 4221, 5906, 7691, 9614, 9392, 3639, 8271, 9422, 7668, 7830, 2672, 6181, 8744, 9096, 3900, 3025, 7089, 9155, 2387, 570, 8233, 9970, 5711, 2374, 31, 8434, 9664, 2588, 7280, 95, 9650, 1500, 2352, 7340, 7465, 1743, 7331, 2087, 7516, 1350, 9916, 187, 3882, 5012, 5635, 4134, 4388, 2723, 3288, 6774, 9644, 1520, 6743, 5355, 245, 3125, 140, 6260, 2064, 7419, 6354, 1713, 5270, 8706, 5405, 2734, 6800, 2735, 4820, 4316, 436, 1088, 854, 670, 2451, 6488, 4803, 6838, 5563, 8090, 3611, 5206, 5961, 6705, 6912, 2558, 9830, 3404, 8817, 1893, 822, 1523, 3606, 2444, 6580, 5362, 1529, 3379, 4448, 2701, 4046, 4883, 3788, 4900, 5552, 2590, 1387, 354, 9427, 6949, 4795, 3037, 8507, 7108, 6093, 5418, 9665, 5922, 8821, 8481, 4167, 5995, 6355, 4124, 8438, 2934, 9485, 6318, 6313, 3932, 9018, 6710, 5166, 9157, 1609, 7070, 1746, 2996, 7423, 1172, 6296, 8570, 560, 4802, 5677, 6653, 6572, 5341, 8926, 1744, 173, 3092, 4090, 6528, 3567, 8879, 5813, 3051, 5197, 2125, 3334, 4214, 5187, 8500, 3371, 6795, 5569, 5116, 6142, 9343, 2640, 2438, 4264, 3199, 3591, 9940, 6203, 6514, 1632, 5129, 8258, 1805, 4572, 2347, 4684, 8139, 1226, 496, 7541, 6422, 8973, 7227, 635, 4159, 5726, 357, 953, 7646, 5473, 3447, 3340, 8112, 5884, 7604, 7662, 5826, 7543, 217, 2340, 9175, 5345, 597, 7331, 6268, 9295, 2014, 758, 520, 8861, 4651, 3293, 7833, 1877, 280, 1991, 3954, 636, 9296, 1599, 6108, 2742, 4938, 571, 4977, 2541, 4585, 802, 84, 4801, 9493, 5610, 6497, 6441, 2940, 2764, 5736, 1305, 9874, 2607, 165, 4524, 2252, 4350, 2752, 2531, 6340, 6705, 3166, 1987, 8303, 5626, 1080, 9592, 2548, 2408, 8485, 7132, 9562, 4920, 1932, 9054, 529, 8428, 5495, 9820, 7544, 7582, 1124, 3769, 188, 7640, 4644, 2439, 1989, 7395, 1321, 4681, 4099, 4487, 3019, 8753, 6464, 4099, 4696, 9011, 6506, 3180, 6143, 6067, 8099, 4426, 1473, 4979, 2854, 6967, 4798, 6749, 4548, 2273, 517, 1087, 9913, 5160, 9878, 1901, 2554, 1198, 2933, 3004, 2036, 5952, 8108, 8499, 50, 9155, 3862, 2907, 2335, 4, 5326, 6785, 4429, 6798, 1764, 3634, 116, 6561, 382, 1015, 5186, 898, 2101, 5098, 2409, 8330, 3350, 1314, 5880, 2635, 4317, 7915, 8586, 8776, 2766, 4987, 7931, 6627, 7893, 6617, 6630, 9570, 9753, 7410, 6367, 1516, 7396, 2834, 4429, 7777, 3848, 9614, 5027, 2301, 1063, 3787, 630, 764, 5101, 6509, 3398, 9417, 776, 1983, 4545, 3541, 3321, 8827, 6519, 7566, 1795, 9500, 7135, 1547, 6909, 9854, 3063, 4304, 2687, 3843, 8433, 6535, 9808, 9811, 8835, 870, 3597, 5816, 7985, 8697, 2325, 1383, 4466, 9452, 9717, 5362, 9344, 3038, 4188, 5862, 603, 5982, 5361, 4089, 3880, 8621, 3942, 3294, 2925, 6629, 7136, 7709, 3163, 6943, 3871, 1997, 4164, 7467, 7812, 8501, 2516, 6488, 6235, 3333, 2291, 5951, 8694, 1634, 5340, 2881, 7495, 2294, 5214, 2855, 6383, 5445, 1476, 324, 8739, 752, 6952, 5874, 4812, 6466, 9169, 8682, 4814, 9684, 2500, 8978, 4536, 5015, 5465, 770, 8347, 4108, 3073, 3392, 5741, 8412, 2624, 9588, 7058, 7837, 8794, 3440, 3282, 6621, 115, 8372, 7372, 3419, 597, 8535, 9884, 9765, 3568, 4698, 5801, 6068, 3675, 336, 7434, 5491, 7458, 2133, 5950, 530, 5524, 1691, 5293, 8148, 7630, 2350, 2336, 6423, 2141, 1969, 3044, 2256, 340, 6767, 2026, 937, 1654, 8261, 7053, 5221, 2958, 9205, 1288, 2984, 9541, 8722, 4827, 6998, 7206, 7128, 3879, 2729, 5170, 9171, 7228, 2799, 1521, 9564, 9222, 3661, 7884, 8617, 2268, 8224, 5383, 4293, 5512, 7036, 2554, 2564, 8609, 1863, 1769, 9896, 1199, 7661, 4969, 2377, 1010, 2174, 9504, 4888, 1255, 4674, 4058, 8482, 3824, 1930, 4397, 3045, 1943, 2281, 8013, 4210, 6856, 9748, 4855, 2367, 3135, 3760, 1282, 1743, 1974, 9402, 1639, 3172, 3414, 2959, 1900, 4423, 1485, 7756, 5662, 9091, 8781, 6072, 3924, 2604, 8001, 8321, 2001, 9943, 6953, 13, 505, 3808, 9760, 5359, 2526, 2895, 9118, 159, 4637, 1091, 9561, 2627, 615, 2974, 1938, 8866, 3749, 3422, 6621, 9410, 8864, 5401, 1833, 2787, 8005, 9834, 7459, 6357, 6128, 4411, 6369, 6632, 4570, 6129, 8342, 3447, 5375, 7459, 3606, 11, 4902, 3166, 8990, 1868, 2491, 927, 733, 6239, 700, 3706, 2001, 9563, 5458, 3833, 2349, 3462, 18, 9808, 6170, 2498, 570, 2539, 9129, 5140, 5019, 7471, 8586, 393, 1281, 8543, 6755, 2534, 1708, 5744, 4401, 551, 3022, 1486, 6789, 3721, 5191, 5141, 9635, 648, 5326, 1984, 462, 1695, 8143, 6631, 4192, 5064, 5521, 3321, 6555, 539, 7143, 1493, 931, 8423, 35, 7686, 7309, 8095, 9781, 1709, 8645, 2803, 9546, 1785, 6523, 1088, 6926, 6158, 1736, 8603, 4493, 8549, 297, 8987, 1531, 841, 4050, 7052, 513, 6957, 7590, 7655, 8449, 4873, 2429, 8483, 2558, 6089, 6577, 2338, 7798, 5221, 5140, 3695, 7006, 8015, 4783, 283, 524, 2870, 5237, 5016, 1418, 1885, 354, 9300, 2725, 755, 6351, 3237, 7711, 293, 7243, 6159, 5165, 6024, 4642, 7722, 2112, 7570, 6411, 6261, 2791, 7903, 9956, 6148, 5917, 1090, 2782, 6440, 3959, 8018, 7807, 5376, 9902, 4512, 4675, 8979, 5266, 7378, 8567, 2977, 7670, 2162, 9135, 2834, 4537, 128, 6907, 3000, 7698, 3317, 9261, 6840, 7571, 5568, 2987, 3487, 3009, 5768, 6278, 6967, 137, 436, 8694, 38, 4947, 9720, 5368, 213, 7097, 3935, 9541, 1118, 6096, 8675, 3951, 632, 8803, 7209, 3631, 2852, 526, 9243, 9691, 4448, 1162, 2677, 7935, 4170, 4796, 564, 1136, 4932, 7352, 6181, 1321, 2298, 5901, 6689, 8862, 2997, 6975, 8402, 4115, 3070, 3429, 4417, 53, 8583, 1626, 3683, 1434, 8503, 9278, 1124, 2950, 6791, 152, 7236, 961, 4947, 7800, 8448, 6230, 1503, 4629, 7550, 3800, 529, 590, 9014, 9877, 7564, 3767, 3991, 6985, 7195, 4760, 7037, 5777, 6385, 7072, 7210, 1239, 2701, 4685, 540, 9491, 4836, 7776, 451, 9782, 1927, 5251, 2363, 3429, 9879, 6265, 3580, 6759, 6854, 8945, 6635, 770, 2712, 6978, 4106, 6258, 1737, 1143, 2035, 4473, 4566, 5596, 5711, 7266, 6633, 6250, 3108, 1468, 377, 3559, 7602, 2303, 5161, 9964, 2083, 5039, 6228, 2015, 1797, 9434, 959, 8431, 6555, 3670, 5408, 660, 9928, 3496, 1802, 8314, 7968, 2719, 261, 30, 6336, 6893, 2632, 9444, 4713, 3008, 9354, 2314, 1663, 4514, 8629, 97, 9552, 4857, 2111, 7700, 642, 3070, 2482, 7196, 3091, 7890, 7855, 9370, 7737, 6009, 7683, 5705, 8727, 4296, 5734, 1415, 1188, 8365, 858, 2252, 7725, 211, 4565, 5739, 4724, 3194, 5835, 627, 4402, 7946, 8326, 1395, 7367, 807, 8590, 457, 5048, 2796, 9827, 2785, 8804, 3861, 4841, 3883, 8156, 574, 1649, 5696, 5291, 2506, 7947, 9367, 9068, 8864, 5105, 3791, 8409, 7291, 769, 9162, 5236, 9094, 556, 2602, 6252, 9145, 9411, 7652, 8292, 5589, 436, 3448, 9449, 5276, 3682, 3957, 2201, 5330, 9652, 3843, 7835, 3950, 9561, 6902, 9165, 4665, 7044, 7573, 1956, 7812, 6734, 3543, 3257, 3641, 2497, 5860, 9137, 8259, 3511, 7429, 3847, 298, 876, 3295, 1925, 4557, 7251, 4126, 9886, 3254, 4320, 4072, 3556, 3881, 7325, 2720, 4897, 4368, 6645, 3204, 8531, 9730, 6747, 1787, 3371, 5595, 7646, 8859, 3853, 7509, 6287, 7699, 7806, 3514, 7345, 9731, 4422, 948, 208, 659, 4201, 879, 4730, 4108, 4759, 2054, 3180, 6008, 2773, 6176, 9211, 1303, 5905, 2309, 9441, 5627, 7903, 7087, 4486, 8107, 947, 7124, 5805, 8752, 638, 9502, 4834, 1411, 449, 1393, 2070, 1001, 2272, 3151, 5109, 3382, 1557, 8288, 9389, 4329, 4463, 4952, 1984, 6719, 7260, 1424, 2346, 1515, 4862, 3183, 5973, 5808, 6658, 8130, 912, 7295, 7631, 5745, 5058, 8079, 7138, 7127, 9079, 5761, 6629, 4187, 9142, 8185, 8826, 4883, 8866, 9640, 9834, 849, 6359, 3445, 8624, 5056, 1311, 3486, 4590, 7284, 5645, 1247, 5413, 6556, 4894, 3043, 2301, 9951, 1121, 5790, 3429, 6551, 1550, 57, 738, 7043, 8242, 5915, 1925, 3459, 5555, 8110, 659, 8265, 1555, 9282, 3320, 9217, 9119, 4261, 6500, 4764, 5507, 8264, 1319, 400, 1306, 9971, 6702, 8778, 2112, 130, 5329, 13, 187, 2418, 7056, 4780, 4684, 8980, 4590, 238, 7090, 5248, 4854, 4996, 881, 4525, 4212, 10000, 8785, 712, 1115, 644, 5327, 8785, 1043, 6633, 5108, 4097, 1762, 7219, 4226, 3442, 7232, 764, 2211, 4287, 1895, 6895, 9618, 2836, 3484, 3059, 8083, 8338, 8054, 5316, 9214, 8618, 5315, 7999, 5681, 2781, 8642, 1007, 1565, 6036, 7639, 3024, 132, 5753, 243, 710, 5546, 3826, 7825, 7757, 4464, 6072, 1003, 4081, 8907, 4486, 3492, 6990, 9175, 1545, 8657, 8389, 162, 3971, 2739, 5842, 3103, 1380, 6849, 1019, 3767, 839, 4043, 251, 2943, 4285, 960, 8489, 4462, 5136, 2597, 8925, 1207, 3599, 9357, 114, 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6499, 6441, 3438, 1569, 1617, 9967, 350, 297, 1022, 9349, 1906, 2670, 8467, 2197, 1752, 2778, 7876, 5606, 4027, 1054, 2831, 173, 1926, 1430, 3089, 5773, 1444, 9519, 9577, 2462, 2887, 2427, 8902, 6324, 3995, 6871, 6290, 697, 3519, 3663, 6397, 5425, 6333, 4864, 7621, 4436, 7641, 1848, 6393, 8019, 2901, 9223, 4544, 4826, 7005, 3984, 6951, 8448, 3502, 2879, 909, 6388, 5305, 6163, 9063, 5652, 3033, 5352, 6348, 2903, 5367, 2744, 8327, 8051, 3959, 2299, 8838, 7951, 499, 5230, 5970, 3399, 805, 513, 4577, 7809, 848, 7879, 6256, 4350, 7109, 7164, 737, 8765, 9678, 6152, 4416, 2710, 7855, 7115, 5613, 3221, 6211, 291, 1271, 169, 8942, 108, 4472, 9440, 1690, 441, 9190, 2494, 7305, 118, 6654, 8152, 4348, 2909, 8853, 1456, 6424, 5942, 6573, 6102, 2093, 7340, 5163, 9947, 4455, 7127, 9520, 7017, 3770, 790, 7185, 2711, 7250, 1656, 8502, 5291, 8448, 4043, 7784, 2104, 513, 789, 6608, 1212, 3697, 1812, 9020, 6472, 7753, 5592, 8925, 6197, 2931, 4088, 6144, 3737, 7566, 5663, 753, 1335, 2804, 4290, 397, 6405, 2297, 8898, 1695, 7097, 9293, 5830, 9200, 6157, 6618, 2159, 7368, 6666, 323, 6387, 3138, 8075, 1978, 2062, 4272, 4909, 2501, 6767, 4997, 67, 8781, 5750, 1401, 7936, 39, 1798, 4341, 2335, 7047, 2387, 9431, 2691, 8217, 4983, 8847, 1186, 3493, 6215, 7852, 3815, 8953, 7341, 8242, 931, 5754, 8865, 2191, 8255, 5631, 7187, 4673, 763, 9288, 6073, 8698, 9326, 4222, 9390, 1661, 7621, 1777, 7443, 311, 9993, 2425, 5510, 7530, 2270, 8076, 5381, 6084, 7028, 2721, 4325, 4310, 8475, 3189, 6500, 3081, 5171, 39, 7753, 5933, 9326, 177, 983, 8652, 4399, 372, 6664, 8371, 2148, 458, 5033, 8492, 9235, 542, 6022, 1504, 8617, 7754, 3939, 1997, 6827, 8264, 6306, 1653, 7804, 9158, 4733, 9327, 9196, 8837, 5259, 8521, 9013, 2593, 3524, 9763, 2965, 6539, 8133, 1464, 3349, 3166, 6308, 2583, 59, 2329, 438, 5028, 6434, 4376, 7024, 3260, 8991, 3329, 4912, 3147, 2486, 5996, 2473, 8033, 4832, 4083, 2906, 197, 6676, 6429, 9959, 9640, 9320, 4444, 7455, 2668, 3961, 3762, 1602, 371, 2442, 2039, 5398, 8876, 6414, 2421, 8487, 1757, 2102, 3399, 4903, 939, 5746, 7375, 5324, 6930, 1457, 8229, 7126, 8132, 1009, 3436, 4123, 6680, 4231, 1578, 9347, 8191, 1691, 948, 4914, 4133, 9338, 311, 3008, 5752, 9084, 1494, 7508, 7537, 1244, 2410, 4827, 6990, 6136, 150, 3919, 7592, 8378, 7396, 5724, 5739, 831, 6198, 2418, 1414, 7775, 8117, 5956, 9466, 5416, 869, 9950, 4754, 1180, 2957, 6857, 6615, 802, 716, 4151, 8398, 9477, 8977, 1739, 5612, 9127, 2009, 3203, 3856, 9404, 5278, 9594, 6586, 1476, 2012, 7999, 5602, 128, 307, 1419, 5543, 1175, 1368, 6648, 2354, 4324, 3504, 8968, 1478, 4219, 9470, 6227, 3695, 8447, 7965, 9306, 3925, 9973, 8861, 7780, 5728, 4138, 3726, 8665, 1965, 5737, 3016, 7567, 2216, 3322, 8985, 4110, 4496, 353, 758, 3202, 1028, 4261, 8521, 8857, 4832, 7991, 5083, 8526, 2789, 3047, 4184, 6713, 9371, 3044, 4492, 1450, 3533, 8217, 6467, 5498, 305, 9482, 3064, 8872, 9155, 8400, 2982, 2, 8752, 91, 3203, 6132, 703, 8076, 4988, 5534, 6066, 71, 412, 5206, 9469, 947, 1918, 5192, 3990, 2761, 2993, 3874, 7330, 9459, 9371, 7634, 5292, 8786, 2858, 798, 3538, 2191, 800, 2289, 2281, 354, 4772, 9335, 8429, 9760, 1221, 846, 6182, 7984, 6051, 2002, 8930, 4320, 7193, 9271, 7081, 6538, 3144, 4410, 2348, 8867, 8395, 7640, 4004, 7604, 4789, 7541, 9794, 5588, 6182, 8426, 5942, 953, 4113, 722, 7064, 5333, 1568, 3245, 3316, 3970, 5247, 2245, 8290, 8791, 1515, 1722, 5328, 1010, 6131, 7676, 9876, 877, 1667, 232, 8481, 6455, 7772, 4626, 2043, 305, 9404, 4336, 1258, 3516, 5057, 4673, 8848, 2976, 7918, 8515, 6946, 3164, 759, 1587, 1954, 8625, 3308, 7282, 9634, 5790, 1309, 5862, 3018, 2975, 6093, 7850, 9429, 216, 2476, 7823, 6873, 8231, 2158, 4482, 1746, 3567, 9154, 593, 6542, 7071, 5459, 9839, 6586, 6217, 1425, 8540, 1193, 1084, 2173, 7178, 6873, 9833, 3039, 6243, 2807, 5483, 4092, 8587, 2051, 2919, 6410, 8923, 1149, 4919, 9756, 9246, 8485, 8909, 6190, 1379, 5980, 1648, 1217, 2565, 4216, 8994, 7456, 5408, 77, 5980, 2586, 3302, 5812, 1976, 5896, 4970, 3811, 9987, 3557, 2213, 9258, 6318, 7487, 6758, 1236, 7242, 6004, 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8061, 6897, 2033, 4814, 9813, 4012, 7858, 3632, 1895, 8150, 7060, 7321, 2817, 1135, 3296, 9362, 9322, 2621, 7667, 5013, 887, 5178, 5747, 5450, 4945, 6622, 3885, 6646, 3157, 9938, 2092, 1217, 3186, 4125, 2382, 9350, 4488, 6591, 2981, 6382, 1092, 6392, 54, 3908, 7527, 9702, 3269, 6848, 8674, 7288, 8212, 9560, 2465, 311, 5009, 3761, 6932, 5245, 6758, 88, 1534, 8850, 7656, 4719, 9326, 6389, 4068, 3813, 2979, 3400, 6547, 4070, 9792, 2952, 4329, 3670, 9005, 7598, 6869, 7678, 4885, 5080, 3590, 3701, 5390, 4950, 7461, 8674, 195, 4219, 5113, 1728, 9420, 9121, 6447, 5097, 5509, 6866, 5261, 4840, 6618, 1807, 5261, 6409, 1111, 9590, 6430, 115, 3539, 3298, 7793, 4775, 4729, 1382, 8475, 119, 6331, 2287, 5144, 2877, 2857, 256, 4605, 8628, 5728, 7403, 76, 1237, 620, 5337, 2428, 7237, 3495, 7688, 3645, 4605, 7277, 74, 4720, 7167, 9723, 8864, 1941, 4452, 6597, 6767, 922, 9279, 5406, 6065, 2156, 8262, 2672, 3112, 3242, 8400, 514, 3317, 5988, 1133, 5005, 8415, 4722, 8500, 6102, 8366, 9456, 9731, 4792, 527, 6897, 866, 9390, 8838, 5317, 2338, 5604, 2590, 1617, 1009, 5006, 124, 5623, 7678, 9587, 5216, 2429, 6452, 4884, 8416, 7584, 9889, 6830, 8657, 4740, 9283, 7023, 4195, 9013, 8166, 4722, 5910, 5383, 463, 4747, 7052, 2801, 6702, 9641, 769, 4063, 4647, 7244, 6037, 8676, 6830, 7604, 1104, 3281, 2487, 9519, 7216, 8727, 2700, 5873, 3466, 1982, 9247, 7661, 995, 3764, 2382, 3256, 9146, 2844, 4354, 6197, 1996, 1055, 2190, 2764, 1469, 6836, 6359, 3857, 5511, 3188, 1460, 2966, 6468, 3947, 2484, 3684, 2673, 1535, 5908, 6139, 3516, 5154, 151, 4510, 8917, 8884, 7765, 8062, 8079, 8470, 611, 75, 9525, 2800, 9190, 7345, 9635, 5549, 1202, 1497, 8736, 2661, 4462, 1556, 2959, 3297, 1591, 5632, 4831, 7498, 8122, 4698, 2651, 4624, 5560, 7919, 3507, 9676, 2332, 1585, 8146, 2942, 8011, 7670, 5741, 7201, 1366, 1727, 9101, 2567, 9575, 7836, 5228, 388, 5743, 4538, 3684, 7333, 169, 4866, 4830, 4642, 9564, 3832, 9265, 5123, 1750, 2771, 1150, 4082, 708, 9295, 7023, 8718, 3316, 9116, 5918, 4682, 7194, 5018, 7248, 6769, 9206, 8827, 7156, 4948, 3365, 7192, 8633, 9885, 2057, 3462, 879, 7972, 3646, 143, 9446, 5395, 9266, 596, 5828, 9973, 9890, 9203, 8690, 3206, 8318, 960, 7887, 5511, 2329, 1486, 8631, 7886, 6665, 5787, 9186, 6381, 2978, 7818, 6265, 1386, 7631, 7143, 5710, 1276, 3638, 5155, 3023, 2903, 2102, 8850, 9227, 1992, 8052, 4268, 1549, 2721, 5227, 5787, 4584, 3908, 7272, 3214, 1793, 288, 5352, 7330, 6668, 4681, 5147, 2933, 6067, 2778, 6427, 8128, 405, 64, 3282, 3427, 9318, 1736, 8629, 8544, 79, 3032, 2812, 1627, 2105, 4390, 7413, 6688, 8297, 1036, 6253, 6442, 7676, 1605, 3771, 4343, 6285, 8918, 7275, 8703, 8047, 54, 6830, 8451, 117, 6464, 8230, 5787, 8199, 6858, 4330, 8277, 9889, 7141, 6255, 1993, 1531, 19, 5032, 6179, 7406, 1285, 2620, 5081, 9241, 2743, 9424, 1877, 1660, 3050, 6932, 6058, 3103, 3761, 860, 9572, 6576, 9089, 5358, 4774, 5946, 6039, 9402, 2187, 9532, 5656, 531, 7414, 5674, 5563, 3592, 3080, 3199, 2564, 8160, 8791, 5306, 7583, 667, 3317, 6985, 7598, 9374, 87, 7711, 6585, 6010, 4286, 5674, 7719, 5412, 7971, 3758, 4813, 6509, 3289, 469, 7040, 702, 2494, 8954, 645, 1925, 2152, 9560, 85, 7294, 4865, 4019, 7960, 4533, 1003, 1910, 258, 7442, 9620, 6843, 9803, 257, 2516, 7522, 5668, 6838, 7631, 6833, 3347, 919, 3653, 386, 7972, 6146, 5691, 4968, 8071, 7842, 4528, 4507, 1487, 5744, 4877, 9446, 277, 5880, 7707, 6886, 9673, 3678, 3728, 9475, 287, 2595, 3348, 5954, 9433, 978, 9138, 9131, 8248, 2790, 9516, 2571, 5288, 5206, 7539, 9710, 9399, 8418, 4216, 885, 513, 9092, 6682, 7141, 1323, 741, 4027, 7347, 4418, 4106, 6822, 1056, 6701, 169, 7010, 2485, 7499, 2499, 1615, 5746, 5289, 7482, 8317, 6928, 9039, 2207, 6637, 4789, 6976, 7204, 2025, 7488, 2647, 5058, 4629, 3970, 5798, 8655, 7668, 6568, 9112, 4489, 7623, 5812, 1010, 984, 4648, 8508, 3483, 2614, 605, 5123, 95, 8921, 8402, 5485, 7479, 5038, 273, 4454, 8593, 2297, 1942, 1239, 7355, 2922, 1560, 3152, 7928, 9228, 6071, 7039, 68, 3694, 9203, 7429, 1029, 3850, 5936, 4511, 2816, 2893, 5985, 2910, 8165, 4386, 4747, 5644, 5775, 5019, 6449, 4367, 7316, 4742, 1958, 1022, 7663, 9869, 525, 1942, 9096, 6596, 8981, 5516, 6641, 8183, 2944, 7669, 8384, 5232, 8532, 1199, 8124, 868, 461, 2640, 5254, 5207, 8283, 1028, 225, 4732, 1747, 3892, 5825, 3704, 1265, 3488, 9924, 1790, 5429, 5372, 4737, 761, 887, 1377, 8943, 182, 5397, 3679, 1765, 280, 4877, 6240, 1148, 5337, 8880, 2753, 6895, 7162, 132, 7120, 8245, 1878, 7363, 4070, 1933, 8628, 3909, 1857, 6769, 5689, 7228, 1505, 6450, 4466, 9233, 1744, 4647, 981, 1774, 6412, 1261, 6651, 2651, 8760, 8339, 1530, 1512, 5234, 5044, 7995, 8705, 9640, 6225, 2419, 61, 8157, 7398, 3969, 6365, 4166, 6010, 9944, 5670, 2459, 761, 4902, 554, 1760, 2235, 2328, 4523, 9847, 5330, 3525, 8606, 20, 5055, 6469, 1605, 6450, 4463, 6661, 2441, 687, 9080, 2502, 5196, 6477, 6470, 7912, 643, 8831, 4208, 2664, 7641, 4968, 3918, 8195, 3079, 6152, 6874, 7601, 5998, 2203, 1126, 4603, 8574, 2532, 7423, 179, 8981, 8237, 6839, 1421, 8924, 5918, 3922, 471, 8747, 6744, 4734, 5741, 1926, 8941, 8404, 9567, 261, 2321, 4113, 3339, 4824, 986, 940, 821, 9540, 8417, 1775, 8113, 948, 9197, 8291, 9928, 3786, 1482, 7700, 9061, 3751, 7974, 9531, 2497, 1069, 616, 8237, 2994, 9557, 2993, 8912, 6169, 1665, 3024, 5859, 6489, 4009, 3150, 7309, 9900, 1566, 5436, 4365, 2513, 984, 2655, 8792, 4769, 488, 2844, 3829, 4239, 817, 9711, 6735, 8237, 327, 1324, 7582, 6235, 4316, 6494, 2403, 5980, 9517, 8261, 2468, 9878, 7763, 6129, 9777, 9328, 1564, 4141, 1841, 8899, 3148, 632, 3668, 3635, 3475, 7496, 4225, 643, 3559, 960, 5231, 3885, 8635, 2813, 119, 2950, 5658, 8873, 5281, 5174, 3485, 4101, 1403, 1247, 6581, 7532, 575, 4496, 8024, 8767, 3394, 7523, 9398, 7061, 1158, 9225, 909, 5382, 6219, 4467, 2693, 1450, 4703, 1327, 614, 1173, 628, 6271, 45, 2261, 7796, 3529, 6361, 5551, 1128, 2941, 3082, 8054, 3788, 1105, 6820, 7181, 8628, 2569, 594, 6137, 8145, 7854, 7870, 4364, 8672, 6915, 2165, 3374, 4593, 9130, 4546, 5221, 1752, 942, 7481, 5899, 822, 193, 1449, 1949, 9485, 4530, 2, 3272, 1987, 3173, 6804, 6966, 5742, 7397, 9454, 3886, 5250, 3675, 4601, 273, 589, 6765, 3646, 5182, 5894, 4543, 6754, 3997, 5484, 586, 9896, 2658, 778, 1344, 4606, 262, 2226, 960, 9885, 564, 4132, 6688, 7529, 6225, 437, 3334, 111, 2038, 7008, 4711, 2311, 7597, 7828, 2308, 9130, 73, 3203, 2235, 4070, 5038, 2820, 3965, 7695, 9949, 5308, 8653, 6562, 7533, 9612, 6446, 8096, 95, 9485, 1976, 6320, 9921, 5309, 6430, 1959, 8669, 7492, 621, 6265, 5319, 2928, 1746, 5392, 6130, 3980, 5813, 1168, 3151, 9777, 8862, 3099, 5084, 3866, 9660, 8969, 3477, 6105, 3416, 9924, 1941, 1744, 6243, 1862, 3404, 9024, 3820, 2072, 2867, 4440, 4688, 8186, 3719, 6433, 9929, 9849, 6764, 5741, 7368, 9914, 1869, 2581, 9364, 3304, 6447, 9023, 2272, 6275, 1479, 2040, 6198, 3420, 3783, 2440, 1633, 3538, 7815, 5452, 5610, 682, 6243, 297, 5219, 6313, 3082, 1499, 2513, 9845, 3591, 9880, 6111, 5459, 8813, 1826, 5114, 1611, 849, 7386, 7885, 8679, 5777, 4083, 8450, 5911, 2874, 82, 9448, 7041, 1885, 5057, 4074, 4479, 5354, 9292, 792, 4787, 7142, 3304, 983, 732, 9536, 3445, 2542, 8348, 5271, 7655, 9958, 2471, 1392, 4194, 1149, 3520, 8276, 9599, 9430, 7502, 9680, 8878, 894, 7917, 286, 4967, 2395, 1991, 4258, 3186, 6777, 7751, 6490, 7760, 4834, 2377, 1204, 3727, 724, 6474, 7733, 7033, 8944, 9125, 1226, 6445, 2644, 5854, 2395, 8426, 9707, 8426, 3655, 600, 6342, 3940, 5566, 8737, 5931, 6175, 1922, 9059, 3925, 4763, 3170, 5110, 7139, 4374, 8836, 4214, 7199, 6568, 1246, 2495, 2044, 8824, 5291, 4688, 1029, 7685, 9465, 735, 6110, 3119, 7686, 2452, 7058, 9603, 1188, 9340, 5777, 9461, 8399, 6053, 4224, 7920, 1162, 1362, 2293, 6349, 5576, 5844, 2916, 3173, 4690, 4960, 8348, 9980, 5999, 9376, 4016, 5463, 6462, 125, 4933, 4147, 8928, 1990, 3749, 6467, 7682, 5877, 5928, 2432, 8281, 151, 351, 5794, 7864, 8996, 2142, 9791, 1191, 1410, 9316, 5880, 6369, 7663, 2211, 8719, 3391, 6226, 4181, 9852, 2702, 9113, 3999, 7982, 7454, 4099, 4448, 1487, 6328, 375, 3918, 4608, 6877, 621, 402, 1093, 9616, 8895, 883, 806, 304, 6550, 3037, 3024, 4213, 1599, 1742, 7603, 4176, 2274, 3806, 3229, 7738, 7804, 1210, 5192, 8255, 5658, 6678, 4582, 2384, 6948, 5541, 9261, 7568, 2294, 353, 3535, 7541, 7587, 692, 7844, 4137, 3728, 868, 4701, 5326, 8961, 8655, 5853, 1235, 2460, 9081, 8972, 6616, 291, 515, 1222, 2300, 3545, 2155, 4683, 492, 7695, 3943, 4411, 6341, 647, 7945, 3881, 4586, 8636, 8076, 5074, 8715, 8943, 9774, 392, 4256, 8428, 6244, 5490, 7239, 5324, 4461, 3854, 1966, 1328, 1427, 4265, 4872, 3581, 8948, 5363, 1276, 9242, 9773, 3968, 6241, 4069, 7848, 826, 2704, 5923, 5899, 7770, 1218, 2024, 8161, 5473, 6803, 756, 7314, 4041, 6079, 8126, 4247, 4397, 9453, 5673, 8661, 4324, 9254, 7608, 6038, 6881, 3202, 2162, 848, 9442, 6230, 5047, 267, 5285, 7321, 2517, 3054, 4890, 4540, 7566, 6714, 1342, 8321, 4027, 5382, 752, 8505, 5980, 5148, 7957, 1653, 3808, 8633, 7258, 7768, 4670, 490, 969, 6832, 1337, 410, 3061, 2735, 7028, 4698, 55, 9544, 7751, 4945, 4083, 1669, 1658, 5424, 9989, 2037, 7157, 7092, 541, 3137, 2239, 8497, 1141, 2399, 7129, 8398, 166, 8151, 5239, 1134, 4982, 2927, 7895, 4394, 5661, 4922, 9091, 2067, 4465, 3194, 7011, 4899, 4862, 5021, 322, 1202, 3409, 3830, 8294, 3949, 6966, 532, 8797, 4458, 2930, 2278, 9207, 9447, 428, 4445, 6932, 1761, 7371, 4826, 6154, 3031, 6099, 5245, 1450, 6915, 4790, 4812, 1813, 9651, 9832, 8486, 7204, 3240, 2316, 5497, 3540, 5633, 2381, 2337, 6443, 1662, 4614, 5649, 1109, 1393, 94, 4392, 3153, 3816, 9218, 9306, 3199, 1668, 902, 4648, 4935, 5691, 9459, 6747, 1693, 5643, 1585, 8897, 5234, 252, 745, 8774, 2236, 3125, 1110, 8678, 4787, 2075, 4327, 2247, 3467, 772, 2990, 6619, 4587, 8559, 5924, 4137, 227, 3178, 8784, 5161, 8868, 4595, 8259, 6913, 237, 9843, 5809, 5470, 6446, 6553, 4243, 8682, 6030, 1704, 7359, 7168, 3778, 8037, 5766, 3596, 8808, 8755, 214, 9747, 7314, 2490, 3883, 7540, 5667, 9019, 9052, 886, 3613, 7310, 4150, 201, 3505, 9958, 5670, 9950, 2863, 6265, 8631, 8892, 4320, 2342, 2411, 4450, 378, 8176, 8045, 5538, 6930, 4611, 1636, 4243, 7100, 1870, 8134, 9118, 888, 7185, 6355, 852, 847, 505, 1052, 4351, 6814, 3074, 652, 9676, 9338, 5635, 4919, 3657, 7976, 7329, 8106, 4705, 5504, 2503, 242, 8786, 7113, 1877, 3028, 4212, 99, 7514, 9681, 986, 4698, 2387, 8190, 1896, 2891, 9241, 6246, 6057, 2314, 6898, 2084, 8003, 2532, 7003, 1660, 6859, 683, 6117, 1563, 2539, 8619, 1805, 1324, 5731, 33, 703, 6294, 6483, 8216, 2326, 7469, 9266, 1065, 5658, 1161, 307, 1250, 7407, 6363, 9916, 656, 8447, 7918, 9539, 1801, 9577, 6397, 2483, 2046, 4311, 5021, 7016, 2467, 6344, 9099, 8852, 7047, 1744, 5334, 5262, 422, 2802, 879, 1486, 4811, 2040, 1792, 2413, 5798, 8155, 2328, 6453, 6601, 245, 2343, 8401, 6174, 5091, 7235, 4571, 9401, 2256, 1586, 1868, 4951, 684, 719, 1997, 8780, 6052, 3611, 9201, 5206, 4489, 686, 6368, 2880, 2477, 8780, 8677, 6983, 7459, 5129, 9935, 7704, 3823, 4687, 229, 8913, 1922, 4799, 8314, 4177, 2736, 181, 5479, 9772, 899, 7476, 8551, 3302, 7438, 7751, 8507, 8278, 4788, 1227, 1158, 3616, 6, 9834, 599, 3817, 1315, 533, 1520, 5137, 5220, 8100, 4050, 3493, 9250, 2363, 4021, 1985, 8895, 9499, 1756, 6145, 3326, 6658, 9446, 763, 4408, 4305, 5393, 5547, 5531, 6550, 9163, 1888, 2735, 9761, 5704, 4049, 6645, 3575, 5538, 8216, 1674, 5939, 1708, 923, 4653, 5728, 9260, 3547, 5227, 1015, 6043, 8552, 4025, 5488, 5667, 4784, 6144, 1059, 331, 1674, 3960, 9493, 9914, 6694, 5605, 5617, 7095, 2249, 9192, 2632, 6817, 7217, 8570, 8524, 4492, 9574, 604, 3751, 3120, 2182, 1117, 5514, 7085, 5141, 1001, 2751, 9925, 3497, 161, 255, 1522, 4120, 6099, 1435, 7166, 1703, 7052, 4260, 303, 2595, 3243, 7119, 9811, 8164, 1995, 654, 7737, 2598, 4404, 7208, 4779, 5521, 2721, 1863, 7013, 73, 966, 6937, 3569, 1126, 3543, 1443, 1598, 9641, 2877, 8763, 7695, 6280, 9374, 7998, 5226, 8968, 1468, 1389, 7131, 3462, 2042, 1219, 2411, 6446, 8426, 3541, 8318, 7498, 5404, 5330, 7570, 2721, 2267, 7491, 198, 5809, 8933, 8147, 1802, 8161, 3261, 9496, 4441, 2634, 3845, 6018, 1601, 5313, 7406, 5083, 5126, 9448, 6301, 7537, 2245, 1078, 1077, 562, 8575, 2832, 5891, 6145, 1904, 4509, 9987, 2102, 6670, 8919, 6600, 8471, 7079, 9861, 7966, 7871, 8846, 1811, 3889, 447, 7123, 7646, 1881, 8600, 7093, 8182, 2488, 5689, 5611, 9917, 6250, 4186, 2748, 8493, 6682, 1004, 9353, 6668, 9457, 6022, 1938, 6056, 4492, 9016, 5916, 2458, 3239, 4762, 4268, 3479, 1560, 7742, 1124, 3440, 2693, 4569, 7973, 5181, 257, 9936, 5097, 2859, 4121, 4196, 7703, 802, 5199, 7055, 3821, 4655, 3077, 5758, 7063, 7568, 4773, 2978, 6377, 4363, 4091, 6996, 7841, 2002, 1089, 5317, 1794, 3782, 9885, 9766, 8962, 6493, 9701, 4058, 5703, 173, 4605, 3405, 7326, 9804, 460, 1146, 810, 9888, 6903, 7872, 7455, 8028, 7202, 184, 8742, 7644, 7179, 6583, 9646, 8268, 8251, 1439, 2049, 8135, 7556, 7362, 979, 3609, 7771, 6682, 3781, 2375, 6438, 1107, 8530, 6897, 8604, 9340, 3136, 1859, 3563, 591, 9886, 7116, 7126, 8627, 4760, 4304, 1561, 4405, 8923, 9811, 5843, 971, 4297, 3398, 4684, 1628, 7006, 2454, 8309, 7139, 4829, 4746, 4597, 9710, 7995, 3200, 9049, 1130, 5058, 8964, 8072, 1295, 6079, 5197, 6274, 7190, 5853, 7834, 1594, 4775, 3997, 3788, 2098, 4645, 3538, 6781, 6272, 6895, 9235, 4580, 4033, 415, 5678, 8629, 124, 24, 8181, 5525, 7505, 9590, 4488, 5577, 885, 6918, 7125, 7158, 4108, 2977, 1343, 2053, 4104, 1691, 5841, 6201, 6336, 9378, 2981, 2607, 6272, 8567, 3539, 6657, 8981, 5568, 1637, 5457, 5591, 6169, 981, 3095, 5759, 1820, 5023, 2995, 5089, 2148, 6504, 9196, 1476, 4198, 7601, 5579, 5889, 9793, 8131, 2224, 9170, 7464, 1182, 1793, 6030, 4720, 4801, 5011, 287, 2790, 467, 2229, 8958, 7799, 5324, 4716, 9618, 6698, 4062, 4706, 5197, 565, 254, 6673, 4763, 4206, 8603, 651, 3998, 3086, 9226, 9519, 549, 407, 7663, 6578, 1479, 2464, 7940, 8117, 5253, 4758, 346, 562, 2556, 2021, 5278, 8525, 8718, 5691, 9583, 3915, 6256, 6188, 6939, 1018, 393, 1893, 8020, 742, 4978, 3597, 260, 5526, 4003, 4274, 8456, 1833, 6737, 6395, 9950, 8341, 7505, 295, 8903, 60, 2315, 532, 4937, 7384, 6222, 871, 1298, 8829, 7058, 4588, 6198, 3802, 6481, 569, 895, 1458, 4165, 1154, 3336, 4520, 5427, 1791, 6352, 8516, 4537, 2653, 3208, 2041, 2947, 8462, 8453, 1613, 5345, 3389, 8997, 7919, 611, 6646, 6747, 4020, 1234, 9297, 7821, 4066, 9865, 5067, 5523, 4030, 6220, 5210, 8549, 7998, 3352, 1252, 2865, 7889, 3905, 6073, 9929, 3203, 886, 4733, 4816, 6231, 4473, 164, 4149, 5083, 3161, 7247, 9102, 746, 6543, 3274, 4811, 6408, 8340, 6686, 437, 911, 1895, 5337, 5261, 5247, 2940, 8125, 9487, 6844, 549, 5767, 6399, 1435, 500, 1214, 4017, 4972, 7729, 8165, 6407, 889, 5411, 5508, 1635, 8306, 5134, 6445, 4713, 3473, 9482, 1501, 736, 1377, 3189, 5996, 2975, 6128, 472, 2461, 9324, 1021, 8227, 2074, 8807, 8726, 3287, 2823, 50, 7367, 7339, 6456, 4607, 9101, 8315, 2593, 7406, 3448, 5390, 8470, 3273, 4871, 6322, 4008, 6247, 9510, 6355, 9221, 1990, 6826, 8033, 7665, 4198, 6260, 9738, 9356, 4985, 9376, 8530, 5034, 3094, 5868, 7841, 7700, 1321, 6156, 293, 8726, 9603, 2034, 3548, 9227, 6904, 9869, 3234, 9503, 5731, 5940, 5075, 7720, 9118, 3108, 1736, 3315, 9367, 1473, 9023, 703, 7200, 7552, 2089, 293, 9772, 9929, 7992, 1092, 2436, 4636, 6169, 2039, 6669, 9716, 1265, 3573, 5937, 851, 9427, 1667, 3142, 4501, 5738, 2259, 7608, 7473, 1926, 3326, 8945, 948, 4029, 6144, 4851, 6117, 6436, 4622, 2397, 779, 5713, 4833, 5415, 1882, 3223, 8435, 7949, 839, 8359, 3885, 8041, 7785, 1903, 1183, 2286, 7640, 9793, 6245, 5112, 1718, 9571, 408, 9017, 3599, 2903, 3868, 6067, 5690, 4841, 4815, 6469, 554, 9647, 8235, 8787, 9221, 6669, 3087, 60, 5028, 3324, 4452, 9164, 5226, 5634, 1449, 2866, 5427, 7694, 7977, 3496, 7264, 8385, 8865, 7214, 7639, 2732, 3280, 3329, 7572, 4446, 9797, 4477, 445, 8031, 9615, 9665, 1051, 9054, 6076, 2430, 2377, 528, 1594, 3954, 2513, 9394, 6819, 4291, 7087, 1148, 7787, 702, 5884, 6651, 7915, 3522, 5734, 7546, 6850, 9657, 8344, 6646, 486, 8788, 1028, 6452, 8452, 8431, 5505, 880, 7212, 4233, 7759, 8805, 8187, 271, 4551, 5005, 4562, 1637, 2504, 8700, 8691, 8387, 1702, 2957, 1909, 3787, 6855, 5110, 9795, 5198, 8108, 280, 3985, 5487, 3084, 8788, 3917, 4940, 6019, 1129, 9173, 3777, 6285, 7359, 4048, 835, 8715, 4961, 8824, 7571, 12, 3866, 5957, 8065, 6822, 4217, 8203, 28, 9327, 7997, 1577, 3786, 4629, 1913, 9272, 7712, 701, 9541, 9003, 3071, 7021, 8175, 6848, 3305, 1885, 7247, 492, 6952, 2207, 5667, 4522, 8570, 9532, 6830, 6634, 2705, 1047, 4836, 2733, 6725, 9184, 4309, 510, 3812, 6222, 6133, 7875, 3274, 5673, 6878, 6344, 2693, 1404, 9543, 5998, 3289, 6789, 2841, 6592, 8995, 8507, 1113, 3916, 4390, 7942, 549, 7094, 5340, 1736, 6178, 8416, 920, 487, 5277, 1083, 3060, 1410, 8958, 2685, 7082, 2187, 9028, 6127, 3590, 4923, 8476, 6878, 1711, 1316, 3469, 7058, 6174, 933, 973, 563, 5227, 7874, 4008, 6918, 9609, 186, 5334, 6880, 7024, 6962, 4315, 83, 8371, 3272, 2767, 1805, 1810, 8146, 7931, 5399, 3068, 6406, 8629, 4779, 4073, 8449, 8188, 246, 9382, 9160, 7160, 960, 3385, 1167, 7877, 9346, 1352, 3210, 6225, 8375, 172, 539, 8457, 4894, 162, 7575, 3050, 1971, 2073, 980, 3722, 1492, 3737, 2350, 2622, 7809, 798, 809, 4406, 6531, 9969, 1565, 7490, 3353, 2732, 5367, 2698, 4083, 4928, 5275, 8810, 1451, 2165, 3618, 2697, 8679, 1193, 5746, 7001, 9617, 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4406, 3846, 3369, 71, 9829, 3593, 4919, 5902, 2325, 7472, 7093, 3931, 9162, 4619, 5684, 6159, 8735, 4632, 6795, 2029, 4818, 8417, 9173, 1114, 7175, 3654, 3135, 5777, 9493, 6563, 3872, 250, 6761, 3592, 6673, 6589, 7184, 7943, 2490, 9509, 5414, 5935, 3439, 928, 6905, 5474, 3438, 5639, 105, 6584, 7668, 1275, 1352, 3192, 8740, 8527, 6846, 1874, 655, 2690, 8437, 4526, 9292, 5197, 8117, 5964, 8137, 5300, 258, 6978, 4808, 2024, 2912, 4599, 2951, 9816, 72, 2740, 1807, 6529, 9323, 9474, 4155, 7027, 9017, 2894, 5553, 5862, 4768, 6207, 4904, 3204, 732, 4195, 4752, 8848, 6510, 9240, 499, 6767, 6217, 5307, 8790, 5481, 6257, 8092, 1648, 2680, 7183, 3454, 9208, 2858, 9279, 3362, 9884, 8296, 6256, 1788, 509, 7375, 7994, 5412, 6930, 5077, 9606, 1681, 276, 2467, 7272, 774, 9234, 3488, 2432, 4375, 5320, 8688, 8819, 6968, 1368, 2353, 6773, 575, 5210, 6052, 289, 5093, 699, 2896, 6880, 1207, 270, 1225, 6619, 7199, 2653, 2576, 5231, 2928, 5043, 2502, 3702, 628, 2341, 2485, 1354, 7661, 1173, 6524, 980, 2540, 8877, 7752, 9466, 4086, 155, 6106, 5531, 853, 9001, 8762, 2060, 9270, 6339, 5030, 6468, 8991, 3957, 8050, 1919, 5351, 551, 1972, 5978, 2892, 4456, 3684, 6904, 1980, 207, 7883, 871, 9083, 5634, 6689, 9521, 5789, 2794, 1403, 2993, 8147, 164, 5052, 3768, 6502, 6433, 236, 1845, 390, 4637, 3763, 5740, 5188, 2086, 8070, 4431, 2893, 1753, 1334, 4873, 8311, 9216, 2095, 3746, 1201, 8783, 9618, 3341, 7929, 1020, 6334, 6075, 7535, 7737, 9842, 389, 4170, 6429, 2233, 911, 1066, 2347, 3002, 2605, 4432, 1071, 7035, 3676, 9175, 4720, 8548, 7486, 3935, 6995, 7583, 1487, 5777, 7200, 4828, 3705, 8219, 7513, 6131, 2105, 1601, 5973, 2493, 5770, 8753, 1077, 3032, 9818, 3423, 6034, 2422, 4206, 3456, 5808, 7882, 2631, 527, 2781, 6468, 813, 9775, 4050, 2300, 5552, 7601, 3479, 5608, 5819, 7343, 1739, 4275, 8943, 4063, 6768, 1065, 2815, 7844, 4096, 8985, 1267, 6481, 7758, 1824, 9937, 3566, 9705, 8919, 444, 2486, 5386, 1257, 8612, 5787, 9908, 515, 3387, 9738, 6123, 5557, 7080, 4213, 9831, 6022, 8275, 2950, 3438, 7441, 794, 3886, 6425, 8412, 366, 4183, 6587, 6654, 4100, 6292, 5572, 4543, 5129, 7309, 5799, 3740, 9447, 2058, 4255, 9185, 1795, 6729, 1093, 8874, 941, 924, 1248, 5567, 225, 1037, 3007, 1018, 4922, 9432, 5781, 1640, 9966, 2368, 8293, 4065, 5011, 217, 8607, 6491, 3877, 758, 230, 9676, 9167, 836, 8860, 962, 3916, 9953, 6187, 4856, 7228, 3786, 6774, 7452, 4823, 9781, 4822, 9744, 5564, 6954, 7735, 5529, 5673, 2380, 9593, 7035, 2596, 4551, 3525, 2824, 1660, 107, 2499, 827, 942, 7711, 1788, 4858, 4015, 4326, 6065, 1242, 8112, 2839, 5045, 2934, 2619, 9866, 9029, 4534, 3172, 6764, 62, 8844, 5495, 6006, 5879, 8090, 6908, 9403, 7265, 8568, 5861, 6116, 5746, 6803, 178, 3885, 8012, 4192, 8210, 4076, 1785, 2673, 3266, 6829, 5606, 2236, 3047, 987, 6769, 6218, 4102, 6830, 1413, 9596, 9187, 3643, 4037, 6095, 9398, 7653, 1014, 5258, 3768, 6759, 2060, 3945, 643, 6423, 8136, 5204, 499, 6272, 7877, 116, 3101, 9834, 2352, 6147, 820, 9120, 8716, 1273, 2302, 6480, 868, 1488, 123, 1256, 3934, 9520, 8909, 4947, 4777, 2676, 1705, 3189, 2973, 8699, 9611, 7460, 255, 6461, 3732, 8131, 6577, 6832, 7964, 8928, 9330, 5136, 4399, 4397, 6408, 6700, 876, 3628, 8188, 998, 4883, 2121, 6869, 3791, 7068, 7998, 2819, 5124, 1186, 5791, 175, 7148, 3250, 429, 9961, 3333, 4911, 2889, 6516, 9226, 1816, 2197, 4361, 2566, 6593, 7121, 9266, 3821, 748, 7453, 4818, 1982, 5925, 8039, 2125, 9344, 6036, 4943, 820, 7221, 7085, 994, 720, 6686, 7774, 680, 19, 2684, 3568, 6534, 1909, 1735, 8731, 2622, 4301, 5323, 9742, 3566, 5495, 6841, 7370, 6665, 5174, 3294, 4703, 7298, 8990, 738, 8592, 9809, 4310, 5676, 802, 1381, 2362, 4927, 2061, 2380, 7610, 1980, 5265, 5870, 3715, 3995, 8491, 4367, 5670, 4584, 4284, 1164, 7776, 1653, 7828, 2950, 1298, 8882, 6599, 287, 9619, 5191, 95, 280, 866, 7248, 1661, 9579, 2174, 3721, 1958, 9783, 2052, 7223, 2005, 5766, 7569, 495, 6484, 3238, 1431, 767, 754, 9206, 8771, 4933, 8507, 69, 3815, 5106, 6707, 9785, 296, 6802, 65, 7513, 401, 1725, 7092, 2575, 1797, 5401, 8709, 3848, 8975, 713, 5966, 6544, 7560, 2449, 6133, 5342, 9568, 3238, 899, 8338, 8171, 9406, 4758, 1985, 4511, 1465, 1769, 1158, 4618, 8185, 8670, 5018, 9909, 2113, 3944, 8057, 7514, 2653, 8257, 6488, 9717, 4222, 3031, 3628, 3022, 5516, 5321, 2589, 8753, 6220, 7279, 6923, 5625, 2036, 5259, 6487, 3500, 7028, 7644, 8117, 5212, 2665, 9487, 1473, 4778, 3430, 9529, 2291, 2434, 4137, 8778, 8503, 8358, 8161, 8482, 7732, 3676, 3803, 6672, 2428, 22, 3950, 9351, 1998, 5986, 961, 8484, 5837, 7988, 6127, 306, 9552, 8791, 9792, 7376, 9920, 3221, 3256, 2210, 2007, 7393, 7340, 509, 2102, 5500, 8990, 9833, 9175, 2792, 2857, 7954, 9165, 6806, 3656, 1162, 9143, 4617, 9645, 1332, 8956, 2123, 1637, 8507, 7266, 1428, 2234, 7185, 1000, 5490, 5747, 9358, 2882, 3086, 9866, 4983, 8585, 5208, 1168, 4111, 7999, 4024, 8416, 3516, 7181, 2072, 4677, 2676, 3040, 674, 4007, 1995, 2796, 5643, 6854, 6413, 3422, 9087, 9950, 773, 928, 5696, 131, 3809, 8781, 6348, 5144, 3717, 1555, 6311, 4179, 5906, 6686, 2594, 9421, 3866, 1017, 449, 2893, 408, 1122, 6899, 8755, 270, 8893, 5608, 6682, 8666, 1046, 6631, 9439, 1974, 2326, 5921, 5782, 7458, 8620, 7277, 1174, 175, 9939, 1704, 2432, 6624, 650, 8204, 6842, 8018, 8652, 9734, 8426, 9774, 6633, 7180, 43, 1877, 9139, 6724, 543, 184, 9707, 6333, 8509, 2032, 8605, 643, 5842, 7224, 7919, 7015, 3750, 7858, 5071, 2533, 4481, 5720, 736, 7674, 89, 9388, 7408, 4866, 9161, 392, 2045, 5555, 2268, 7535, 2278, 9162, 7719, 8336, 1846, 6227, 368, 450, 3221, 6209, 4026, 1140, 9575, 7775, 8997, 997, 6660, 9829, 3068, 7395, 3855, 3157, 6782, 1262, 8022, 2294, 8005, 6419, 7848, 6624, 3953, 6478, 5786, 8023, 4813, 7631, 602, 5180, 4433, 3822, 7740, 8458, 4961, 3667, 2584, 309, 4663, 9243, 6490, 7731, 6638, 344, 887, 9771, 7957, 5260, 2065, 2313, 1678, 9912, 8936, 5631, 6389, 1073, 5, 1202, 5056, 606, 2733, 9488, 4428, 6825, 7945, 5740, 491, 6880, 6049, 5153, 2475, 8890, 2883, 9112, 5585, 121, 5234, 3541, 5381, 7298, 5853, 3410, 3562, 1140, 5392, 9950, 2213, 5397, 7503, 7268, 6002, 236, 6755, 6781, 3412, 1051, 2521, 3902, 4282, 4921, 9054, 6756, 3810, 8289, 2219, 9394, 4761, 7453, 9286, 6493, 4750, 1490, 6255, 4663, 2629, 1646, 4613, 4841, 7042, 8467, 2108, 9396, 5054, 5214, 6176, 8465, 2616, 5048, 2366, 6898, 6320, 7772, 3653, 129, 2412, 5872, 5874, 7172, 3324, 1511, 17, 4425, 3000, 6271, 9088, 1981, 7916, 52, 6821, 1310, 8518, 5281, 7057, 9924, 6846, 9584, 8388, 9462, 4632, 754, 6359, 951, 4877, 11, 7432, 7288, 2234, 9657, 811, 1909, 7520, 827, 6334, 6871, 3449, 1773, 8851, 7717, 1824, 2024, 9026, 6693, 3656, 6082, 6616, 501, 5665, 1356, 6314, 6648, 8461, 9024, 3951, 3337, 5387, 7734, 6976, 7620, 7390, 7786, 9529, 4909, 4965, 2214, 8132, 4765, 3986, 6982, 2481, 2161, 9005, 1506, 5205, 9012, 3939, 1821, 9513, 5956, 9528, 2178, 2603, 7988, 1202, 6553, 1324, 6588, 4286, 8299, 4207, 8028, 2436, 87, 9288, 3752, 2300, 7419, 8517, 2637, 753, 997, 4797, 6109, 8855, 2, 5121, 2793, 8174, 985, 5100, 7701, 3162, 7703, 2040, 4363, 607, 3363, 950, 1245, 8013, 1509, 5624, 448, 1595, 1263, 4200, 3895, 5034, 9068, 6531, 5786, 64, 7680, 1894, 5270, 4033, 7014, 4415, 8558, 7998, 9514, 2610, 7512, 3568, 4649, 1874, 4175, 8011, 9176, 1771, 2375, 684, 3746, 2822, 8630, 5008, 3373, 8876, 41, 2440, 5407, 2178, 8856, 9438, 4072, 4125, 3470, 7437, 8539, 8379, 1787, 4405, 988, 9298, 7972, 5636, 7523, 8498, 9998, 6698, 268, 2372, 3733, 365, 1545, 2363, 1725, 1270, 7590, 1765, 3709, 2996, 3943, 8916, 8785, 4366, 9393, 8606, 1802, 4283, 6984, 3588, 8687, 7971, 9237, 6659, 9958, 6760, 5156, 9955, 9809, 1776, 8678, 9894, 2140, 223, 2256, 216, 1492, 6197, 1981, 1552, 9193, 2275, 6820, 4329, 6640, 6212, 2935, 4793, 6846, 9918, 8381, 5533, 4241, 3969, 2191, 4198, 728, 3698, 505, 537, 5473, 5534, 430, 3965, 2108, 9037, 4180, 3599, 5233, 2512, 1503, 777, 1138, 4674, 5106, 7777, 7237, 4392, 8922, 4082, 4309, 3654, 9614, 8549, 7622, 8156, 2747, 8350, 8206, 9603, 5238, 30, 5136, 2019, 3994, 7244, 7407, 4526, 7194, 8991, 3389, 5048, 9768, 4527, 9721, 1225, 8655, 6957, 5616, 3928, 7391, 6276, 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