Checkpoint 3 Code + Notes

Analyzing Big O Complexity on Sorts

Merge Sort: Merge Sort is a stable, comparison-based sorting algorithm with a time complexity of O(n log n) in the worst case. It works by dividing the input array into two halves, sorting each half recursively, and then merging the sorted halves back together.

Quick Sort: Quick Sort is a widely used, unstable, comparison-based sorting algorithm with a time complexity of O(n log n) in the average case. It works by selecting a pivot element, partitioning the array into two subarrays based on the pivot, and then recursively sorting the subarrays.

Heap Sort: Heap Sort is an unstable, comparison-based sorting algorithm with a time complexity of O(n log n) in the worst case. It works by building a heap data structure from the input array and repeatedly removing the largest element from the heap and adding it to the sorted portion of the array.

Radix Sort: Radix Sort is a stable, non-comparison-based sorting algorithm with a time complexity of O(kn), where k is the number of digits or bits in the input data. It works by sorting the input data by individual digits or bits, from least significant to most significant.

Counting Sort: Counting Sort is a stable, non-comparison-based sorting algorithm with a time complexity of O(n + k), where k is the range of the input data. It works by counting the number of occurrences of each input element and then reconstructing the sorted array.

Analysis

After analyzing all sorting methods with 5000 elements and having run them each 12 times, it was found that the Merge Sort and Quick Sort were the most efficient in sorting.

// Merge Sort

import java.util.Arrays;

public class MergeSort {
    public static void main(String[] args) {
        int[] arr = new int[5000];
        // Fill the array with random integers
        for (int i = 0; i < arr.length; i++) {
            arr[i] = (int) (Math.random() * 10000);
        }
        
        System.out.println("Before sorting: " + Arrays.toString(arr));
        
        // Sort the array using Merge Sort
        mergeSort(arr, 0, arr.length - 1);
        
        System.out.println("After sorting: " + Arrays.toString(arr));
    }
    
    public static void mergeSort(int[] arr, int left, int right) {
        if (left < right) {
            int mid = (left + right) / 2;
            
            // Recursively sort each half
            mergeSort(arr, left, mid);
            mergeSort(arr, mid + 1, right);
            
            // Merge the sorted halves
            int[] temp = new int[arr.length];
            int i = left;
            int j = mid + 1;
            int k = left;
            
            while (i <= mid && j <= right) {
                if (arr[i] < arr[j]) {
                    temp[k] = arr[i];
                    i++;
                } else {
                    temp[k] = arr[j];
                    j++;
                }
                k++;
            }
            
            while (i <= mid) {
                temp[k] = arr[i];
                i++;
                k++;
            }
            
            while (j <= right) {
                temp[k] = arr[j];
                j++;
                k++;
            }
            
            for (k = left; k <= right; k++) {
                arr[k] = temp[k];
            }
        }
    }
}
MergeSort.main(null);

Before sorting: [3755, 7781, 6687, 1993, 1591, 1596, 561, 3113, 1679, 6545, 5273, 991, 2340, 9234, 5031, 4928, 6338, 3356, 3452, 3738, 5952, 4412, 6057, 5122, 5694, 5355, 1817, 7530, 2289, 6434, 5138, 5364, 1998, 7792, 5263, 5064, 8661, 3902, 3560, 6544, 1942, 4797, 408, 1767, 4176, 243, 2455, 9787, 5930, 9497, 7924, 5520, 4961, 1081, 2335, 7709, 574, 4142, 9506, 68, 5582, 5399, 3056, 8435, 1013, 3395, 1706, 5910, 4537, 4881, 7703, 7425, 2160, 6458, 1361, 4950, 4160, 8360, 6370, 4651, 478, 6194, 9841, 7702, 7791, 786, 8302, 7158, 383, 5916, 5838, 4346, 9562, 8617, 3396, 9550, 1877, 6996, 8935, 3409, 4658, 6066, 6510, 7444, 8521, 2964, 8665, 4365, 393, 9099, 583, 1422, 7330, 8268, 6300, 2957, 961, 6611, 7027, 1530, 4719, 2342, 9092, 508, 1215, 689, 4371, 4858, 5069, 2163, 9190, 1024, 7309, 373, 8633, 1237, 1049, 8951, 1963, 2377, 4586, 5839, 1402, 4603, 7266, 7183, 956, 353, 5525, 2402, 4098, 50, 1360, 6575, 9203, 6852, 3136, 6279, 9392, 9133, 9150, 208, 9120, 6043, 7622, 6488, 3262, 8435, 2914, 4453, 5720, 4743, 6685, 9840, 3662, 8964, 4422, 8864, 354, 5823, 2313, 8403, 4278, 6388, 6816, 6702, 4722, 5929, 9400, 1371, 4346, 4683, 1943, 9251, 7376, 1296, 4062, 5746, 8019, 8200, 2231, 9596, 7440, 7962, 1986, 2754, 9247, 9709, 8728, 4020, 2768, 5155, 9675, 9389, 650, 4457, 9387, 1691, 2280, 3152, 3928, 7031, 7371, 2774, 4216, 5797, 4693, 9391, 7426, 1522, 9363, 6266, 6374, 1802, 8373, 9133, 755, 1627, 8116, 5142, 837, 969, 9541, 9460, 3728, 5303, 6273, 6702, 4721, 9838, 8551, 7896, 1360, 5669, 1131, 7541, 5865, 8807, 6479, 9441, 2337, 1110, 5488, 4486, 8778, 5480, 6731, 8308, 347, 6417, 1832, 1832, 9557, 957, 8920, 3158, 1100, 4389, 8329, 4890, 3868, 9717, 4715, 7102, 422, 9792, 7593, 2403, 4592, 6269, 7906, 6290, 1237, 112, 1725, 2866, 8248, 4228, 3403, 3344, 9824, 0, 9585, 2282, 1783, 5983, 2398, 4450, 4170, 8828, 4771, 3403, 3839, 3622, 3420, 1380, 9794, 3269, 5299, 8986, 7092, 4271, 1495, 2244, 881, 9322, 8443, 4110, 765, 5525, 161, 7256, 7080, 679, 6716, 5090, 4927, 9119, 3547, 8304, 8817, 2872, 3481, 5026, 662, 3518, 8245, 3615, 6484, 5093, 9147, 8529, 2729, 8575, 7205, 1300, 1331, 4109, 1444, 658, 3793, 7933, 383, 8073, 8450, 7196, 5744, 7618, 1851, 7334, 9360, 1928, 4662, 3480, 3913, 9242, 4937, 9490, 5664, 68, 6689, 5632, 2660, 5808, 9721, 8687, 5020, 5872, 7452, 6305, 4871, 4232, 3083, 794, 2255, 1189, 840, 6240, 9891, 1160, 8299, 6814, 4084, 2748, 7810, 3449, 1245, 3019, 9896, 683, 9508, 3979, 9174, 5397, 2765, 5551, 3821, 4431, 39, 6020, 2904, 8584, 6604, 7872, 1986, 6422, 4492, 4217, 6337, 2458, 9109, 8604, 2829, 788, 5565, 8892, 6100, 7056, 3033, 4105, 1957, 8757, 7929, 1674, 1132, 6300, 7069, 1348, 9498, 5019, 62, 1181, 6637, 1355, 6161, 478, 3251, 4808, 4549, 4346, 9335, 965, 8602, 4599, 9243, 9846, 4080, 2163, 6843, 8185, 8359, 6815, 3780, 3831, 2861, 1165, 6559, 5410, 3631, 7074, 3620, 626, 5677, 4396, 1885, 2137, 5099, 3855, 3340, 812, 9330, 8188, 6149, 2351, 9856, 8225, 1518, 4763, 3676, 3520, 7068, 965, 9479, 326, 9826, 2929, 1983, 3256, 7121, 1217, 3241, 804, 1634, 6460, 2850, 9036, 7661, 7454, 9913, 2248, 9227, 3859, 8407, 4137, 7137, 195, 4158, 8153, 1242, 1825, 6010, 1057, 6270, 2906, 5978, 9463, 4413, 932, 3184, 5143, 5524, 2390, 4194, 1223, 6248, 9335, 8013, 8036, 2749, 7212, 7437, 4387, 7712, 143, 9726, 7221, 1321, 1071, 8628, 315, 7540, 643, 6685, 479, 1647, 534, 1416, 7996, 2273, 4018, 1525, 6524, 1381, 9036, 9565, 6550, 8615, 6744, 5651, 5619, 2200, 1586, 2748, 8028, 7222, 7318, 7826, 6455, 3500, 7061, 4741, 8068, 9510, 4484, 4088, 8083, 5852, 7521, 2483, 4426, 1605, 5615, 8702, 8194, 9585, 6462, 6985, 5948, 2010, 8431, 8388, 1525, 6327, 408, 9560, 6992, 2119, 1698, 4551, 4693, 3874, 760, 9352, 4862, 1153, 3087, 730, 6237, 7231, 5326, 644, 280, 9636, 4847, 5006, 3155, 1175, 1433, 915, 3445, 8016, 462, 9579, 7741, 2197, 5046, 3128, 707, 9511, 7952, 2258, 985, 164, 2791, 8223, 9404, 8803, 7989, 7081, 1354, 2569, 6325, 6294, 898, 679, 7481, 3791, 219, 6705, 933, 7423, 4345, 5204, 1799, 8393, 7730, 7624, 2794, 5648, 6249, 8550, 1305, 9535, 5429, 2226, 1815, 2047, 3327, 1062, 345, 7909, 4378, 2335, 9450, 5407, 8727, 6682, 9372, 8432, 107, 2116, 3421, 1460, 4147, 314, 3372, 7408, 8158, 7669, 3753, 4160, 2884, 2247, 2233, 9412, 6522, 9176, 7033, 4976, 1351, 1229, 1251, 1118, 3754, 8427, 8319, 8686, 9111, 292, 2416, 1791, 4057, 7101, 2598, 6634, 9962, 1936, 9650, 2689, 3122, 3626, 218, 942, 9107, 1776, 3659, 75, 1018, 9004, 3205, 5642, 3953, 2234, 4567, 9086, 914, 4413, 1874, 3211, 8582, 409, 2989, 8181, 4925, 5978, 3659, 7483, 4426, 6696, 2713, 6387, 880, 4524, 8563, 6415, 2184, 3276, 653, 8076, 6278, 697, 8155, 685, 2533, 4066, 2239, 2504, 8249, 8278, 7517, 6595, 5651, 243, 2903, 7824, 792, 1058, 2059, 4257, 2116, 7932, 8827, 1816, 3080, 1115, 3624, 4545, 194, 7165, 2628, 4050, 5125, 8857, 2782, 781, 7078, 3707, 2121, 6711, 9595, 7666, 6739, 3629, 4100, 7870, 2846, 3818, 1063, 8512, 4768, 186, 8472, 6880, 7515, 1050, 6486, 2371, 5584, 739, 6569, 9942, 8036, 923, 3198, 818, 3569, 9162, 6329, 7567, 8295, 535, 3203, 7627, 3261, 5436, 8771, 9287, 8334, 1598, 5072, 6744, 4033, 1261, 1204, 6351, 3126, 5004, 7210, 4480, 9359, 2246, 7135, 8494, 1569, 4631, 8803, 6269, 7592, 2645, 448, 6407, 3897, 7628, 7225, 857, 3667, 1120, 3859, 3975, 8158, 902, 3187, 7256, 3641, 8507, 4214, 6918, 8913, 6029, 7436, 2334, 6483, 1061, 9653, 6906, 3851, 7327, 5272, 9369, 33, 5155, 6182, 2779, 6440, 307, 7688, 446, 535, 1914, 3701, 2948, 5326, 228, 413, 8022, 7669, 2757, 4012, 5594, 3602, 2991, 4653, 3531, 9491, 9322, 5859, 5763, 3639, 3098, 5807, 3371, 4187, 3754, 4530, 955, 5630, 5889, 8973, 5121, 8078, 7837, 6069, 9313, 518, 3802, 2495, 9350, 1757, 1932, 8629, 7015, 463, 8867, 3380, 4863, 8804, 7212, 6008, 3958, 2520, 6174, 846, 7735, 3973, 7163, 910, 9354, 3695, 5531, 6796, 6988, 274, 6837, 7961, 1329, 8028, 1040, 4520, 2259, 6856, 810, 9035, 7122, 8885, 828, 9399, 1313, 2116, 3358, 5914, 3002, 2108, 1646, 7904, 7754, 8943, 6790, 7823, 5483, 8204, 5565, 3684, 1781, 1502, 6444, 3889, 7958, 4213, 8509, 2025, 9343, 5494, 3307, 3055, 9341, 8446, 2830, 6478, 7547, 6277, 7733, 6487, 3826, 3739, 8674, 3937, 6666, 1790, 250, 21, 3359, 7387, 1342, 6954, 1599, 9679, 7924, 6674, 6927, 8438, 4392, 4594, 8143, 536, 7249, 1783, 3265, 5490, 700, 5603, 1913, 1676, 7055, 5780, 6091, 672, 6203, 187, 280, 8363, 7400, 2171, 3448, 7966, 3561, 9193, 158, 1890, 2924, 736, 5281, 6528, 5448, 1968, 7013, 6440, 1650, 8502, 5839, 2190, 9722, 6704, 2929, 9131, 2690, 3526, 9992, 2783, 1176, 9543, 4090, 172, 8854, 9024, 5091, 5465, 7116, 1235, 528, 2528, 2626, 7881, 2444, 6712, 6480, 2646, 3492, 3020, 6484, 95, 5036, 8132, 4729, 2889, 8280, 9268, 1047, 8181, 567, 3764, 9242, 6388, 2896, 9400, 7015, 8078, 1440, 7042, 2426, 7639, 5384, 3926, 9394, 5599, 5770, 8070, 2291, 4985, 5173, 1705, 4964, 967, 6042, 4376, 2690, 7165, 6312, 4409, 6485, 6463, 4502, 820, 7976, 8957, 2926, 6411, 9600, 4744, 6887, 6808, 9280, 4670, 9743, 9491, 930, 7849, 8602, 1480, 2154, 809, 3069, 4297, 8316, 9454, 9940, 37, 7796, 1673, 29, 2957, 6708, 5396, 9438, 6867, 2588, 4188, 6448, 9761, 5662, 15, 6997, 3649, 3168, 775, 6215, 9341, 6917, 8353, 832, 3070, 6769, 1512, 7488, 4236, 3051, 6746, 4884, 1352, 9048, 9410, 3581, 6278, 670, 6848, 5779, 5228, 4136, 5078, 8896, 8710, 4117, 630, 940, 1546, 4125, 9562, 2741, 8439, 8176, 6387, 1953, 157, 7729, 6655, 6394, 350, 747, 8297, 9791, 3255, 347, 8466, 1263, 8088, 8970, 4574, 997, 6829, 239, 534, 8488, 8225, 4771, 1739, 6420, 2402, 8064, 5280, 2842, 7226, 8313, 5069, 6616, 9702, 9484, 5078, 6284, 3127, 320, 7746, 513, 3447, 3079, 8743, 9007, 6340, 6757, 3756, 6439, 9901, 8291, 7727, 8341, 6499, 1844, 2072, 7109, 1362, 618, 797, 8362, 4759, 7870, 2155, 2690, 9253, 3799, 8498, 5554, 3464, 2799, 3328, 8525, 8972, 1207, 1193, 8377, 7603, 9129, 3045, 6633, 2172, 1171, 6947, 1093, 4952, 9994, 1601, 2579, 4635, 3474, 8075, 4708, 4342, 975, 3326, 1816, 394, 6723, 7616, 365, 3934, 8604, 6796, 2102, 5284, 8854, 9537, 3062, 3950, 9033, 9100, 1097, 5567, 5462, 8955, 6025, 748, 2846, 1710, 733, 9814, 3214, 1156, 8600, 1665, 4494, 7981, 2465, 4690, 8047, 717, 3019, 2541, 7320, 4830, 6, 7823, 394, 4503, 7874, 2345, 7665, 3632, 8643, 3405, 2156, 4837, 8674, 1799, 4014, 7859, 2733, 8704, 2653, 1632, 8313, 5434, 9679, 7527, 5491, 2139, 3270, 4776, 2820, 8984, 9972, 2961, 7663, 6088, 3040, 546, 236, 6523, 7371, 2942, 4186, 97, 9872, 8357, 2957, 4277, 628, 4749, 440, 2640, 4672, 6631, 6418, 512, 6320, 6170, 2195, 2112, 8060, 9061, 9452, 3414, 3802, 1980, 5846, 205, 1930, 5081, 4180, 1379, 7049, 9964, 8046, 3340, 569, 813, 5788, 2627, 9359, 3992, 6337, 309, 8563, 9289, 5032, 3546, 9395, 4208, 4874, 6808, 5217, 1236, 8840, 7692, 9540, 6858, 1859, 4, 7717, 214, 6842, 9849, 44, 8807, 7763, 8818, 7756, 8387, 4198, 2070, 4945, 4272, 5965, 8075, 8863, 1733, 3557, 1108, 8222, 3818, 9881, 7197, 4139, 5966, 1524, 9155, 1187, 8159, 3213, 6589, 6654, 6963, 7453, 2299, 4557, 1792, 2395, 7399, 7207, 2001, 4952, 3620, 1213, 4013, 2855, 2800, 6689, 560, 8928, 328, 8105, 7352, 3183, 1465, 2780, 6016, 3526, 6869, 8283, 5960, 3815, 6407, 3187, 1994, 8835, 8406, 6537, 8996, 9330, 4828, 172, 9668, 6674, 1587, 4613, 6547, 5958, 7163, 3583, 4809, 8352, 2026, 4489, 8124, 8415, 5970, 2115, 5863, 9723, 393, 687, 6264, 2645, 7830, 5036, 6845, 1395, 1544, 5085, 294, 3589, 3931, 9095, 1349, 4457, 3593, 231, 7779, 9577, 7490, 7845, 6449, 4560, 6353, 9609, 3703, 7438, 8677, 3106, 7789, 9708, 1038, 5849, 9916, 4936, 214, 789, 9656, 9619, 5670, 356, 9896, 9637, 9306, 5818, 6304, 6991, 3078, 325, 6349, 5799, 4068, 3371, 3349, 3543, 917, 1637, 1702, 3395, 5117, 6159, 495, 6170, 5624, 8590, 4022, 5861, 5484, 9986, 9397, 1067, 4707, 3956, 3394, 5685, 4524, 2304, 2946, 6176, 4308, 5347, 6305, 9427, 3972, 992, 4763, 4800, 1427, 6340, 8074, 6269, 6825, 3091, 196, 5752, 2744, 3371, 5862, 6711, 2196, 5709, 2599, 7865, 4430, 1846, 7296, 501, 1824, 3840, 1195, 9244, 9891, 7464, 2262, 5410, 6387, 2314, 9305, 4085, 4822, 1222, 7897, 937, 2295, 1593, 4229, 2429, 1520, 9076, 9305, 3576, 2118, 9668, 2577, 702, 6851, 9739, 1072, 2713, 4313, 4759, 7330, 3379, 781, 6591, 7076, 8776, 427, 6049, 5425, 8644, 4905, 2180, 8666, 7731, 421, 2189, 7155, 3373, 2867, 6280, 3730, 8532, 9294, 9794, 1166, 5320, 7101, 1001, 1694, 2618, 661, 6647, 1346, 2834, 8791, 8911, 2001, 7064, 5462, 6863, 4396, 4965, 483, 2651, 6089, 5489, 6448, 7706, 9364, 7321, 3249, 7030, 5436, 3314, 1623, 317, 2942, 1514, 2818, 7056, 677, 6486, 2300, 9057, 6804, 8549, 1600, 7901, 9361, 5256, 3938, 6704, 5784, 9021, 5997, 5267, 2374, 7116, 417, 5228, 8177, 5449, 938, 7116, 1564, 5505, 4927, 4364, 1956, 4619, 6032, 277, 3618, 3371, 3117, 2722, 3185, 275, 267, 7861, 7716, 3205, 6696, 8647, 5429, 9013, 4660, 5998, 7018, 7640, 8115, 566, 1450, 4737, 4780, 852, 6508, 7215, 9525, 9042, 960, 9513, 7547, 9397, 2239, 4413, 1659, 5271, 745, 1187, 9236, 9933, 9524, 5573, 801, 3228, 5927, 613, 4089, 810, 103, 4767, 4519, 5217, 3677, 3837, 5446, 8343, 832, 6261, 9307, 3027, 3136, 7101, 3825, 7402, 8928, 4648, 5822, 9437, 7868, 5010, 8849, 634, 1311, 4254, 9860, 7283, 9605, 4712, 4441, 4811, 8084, 1937, 9745, 5829, 4595, 1446, 9200, 5270, 2691, 9853, 3302, 6649, 6324, 3318, 6378, 1935, 3781, 7312, 54, 3772, 919, 5632, 354, 2875, 6335, 3316, 6842, 5287, 3998, 7660, 9047, 3902, 2081, 3886, 7497, 6163, 285, 7176, 4153, 5158, 1738, 771, 9753, 4486, 9753, 617, 3642, 8193, 4139, 650, 5050, 5861, 6598, 9225, 3416, 9490, 9754, 6423, 9408, 3190, 9832, 4013, 7551, 8929, 8669, 4694, 6011, 1555, 6779, 4916, 9027, 4155, 5550, 6048, 2689, 445, 3264, 1967, 5372, 4331, 6634, 7222, 9949, 8035, 6793, 8867, 6126, 9259, 6288, 6774, 7725, 4756, 1501, 1777, 1537, 2333, 3169, 8351, 1503, 5883, 6160, 8709, 4409, 8307, 8534, 8154, 998, 5357, 9046, 7346, 9520, 9363, 1726, 5708, 7033, 5579, 5935, 1656, 7512, 5437, 389, 9529, 4793, 400, 43, 149, 2670, 7296, 5443, 1806, 4119, 1022, 5170, 1117, 6517, 3331, 3352, 8676, 9998, 7056, 5858, 2733, 1623, 3557, 746, 5216, 8921, 7454, 849, 8336, 2546, 6775, 8906, 6746, 9265, 8528, 8621, 9764, 3330, 9399, 8177, 528, 6378, 8815, 6305, 4090, 3458, 6895, 4832, 4496, 5510, 2978, 5761, 1606, 6684, 1340, 5438, 2091, 8270, 9499, 3108, 5409, 9656, 1049, 6250, 4806, 772, 9372, 502, 5441, 9744, 766, 7680, 6560, 4123, 5531, 1431, 2340, 3985, 3388, 6385, 6481, 427, 5237, 3346, 8933, 3564, 6697, 9998, 9215, 9971, 153, 3891, 9757, 737, 1082, 2060, 4352, 7743, 1330, 9531, 1422, 7623, 6719, 7171, 9080, 9966, 8831, 7874, 9201, 8759, 1200, 8919, 657, 3794, 8223, 7462, 7667, 1858, 1073, 5615, 7822, 5844, 8665, 1329, 5763, 3657, 3272, 1371, 2716, 7727, 9803, 3118, 9120, 295, 4923, 2571, 7451, 9237, 7227, 7036, 5007, 4109, 2495, 2262, 1894, 2372, 8684, 5444, 7742, 1286, 3770, 7513, 1797, 1840, 5803, 364, 4929, 7271, 8619, 7277, 8851, 216, 8534, 7707, 7361, 9343, 7044, 792, 6783, 8429, 2050, 5489, 7957, 8291, 5486, 9068, 86, 4715, 8316, 9842, 7564, 3577, 4851, 4493, 4488, 7731, 7073, 5102, 7992, 8925, 6244, 6101, 764, 1969, 3444, 6762, 5130, 7736, 2891, 533, 5989, 6147, 1908, 8584, 7485, 248, 9212, 1241, 8835, 7741, 8850, 7652, 8007, 6850, 536, 972, 8010, 9317, 8427, 3664, 9550, 4473, 9421, 5056, 5446, 4831, 8970, 1240, 6815, 5467, 7072, 5564, 8339, 6555, 9651, 6550, 127, 870, 812, 8849, 6632, 5803, 9640, 2039, 8906, 2502, 1108, 1524, 5054, 3114, 4479, 5541, 5173, 782, 4100, 2416, 1307, 6058, 6906, 2573, 9949, 7683, 8144, 525, 4519, 5323, 1835, 3105, 7896, 6753, 5303, 1536, 537, 2264, 7751, 6572, 8055, 4595, 1309, 7923, 3189, 3557, 9218, 1448, 1028, 743, 9932, 178, 3103, 1137, 7737, 8147, 5455, 5328, 259, 9209, 8186, 8075, 683, 6550, 9142, 6459, 7850, 2444, 2360, 3568, 550, 1946, 2695, 1733, 3242, 8683, 1675, 2695, 9218, 5678, 5997, 779, 3792, 9231, 9372, 9110, 4479, 9277, 393, 8268, 7322, 5359, 4025, 1334, 8549, 3379, 1931, 9278, 8548, 4625, 7347, 5811, 788, 5215, 3513, 1454, 1772, 1097, 763, 2389, 9352, 952, 6293, 859, 5811, 7019, 2360, 397, 9017, 1687, 3199, 932, 9632, 5956, 8309, 5973, 4880, 4383, 9908, 6483, 9691, 9958, 5358, 3814, 4190, 1522, 1133, 7114, 2425, 5782, 3508, 9008, 1007, 5777, 2584, 7003, 7894, 7711, 461, 7114, 941, 8491, 1436, 447, 3042, 7012, 1949, 3158, 5681, 3248, 665, 5095, 5555, 567, 4549, 2697, 9548, 8320, 5112, 7269, 1789, 3717, 71, 628, 2796, 4297, 9609, 6296, 4751, 4863, 3140, 5901, 8887, 5670, 2029, 7270, 602, 1859, 6058, 2799, 5474, 7663, 6617, 4139, 4665, 2733, 7555, 1949, 1301, 2108, 5435, 7558, 415, 5785, 4527, 6729, 3767, 8647, 8296, 4394, 7420, 6587, 8371, 3240, 4373, 47, 4019, 8322, 6712, 1940, 1, 4495, 1765, 2922, 8364, 3406, 4576, 3314, 169, 2001, 4627, 7658, 6506, 5095, 8217, 4814, 4173, 392, 9123, 3808, 386, 5537, 9291, 3215, 2565, 3280, 8134, 9771, 3798, 2627, 3773, 104, 1957, 982, 2004, 8030, 564, 4710, 9146, 8659, 2529, 3299, 3033, 9739, 3645, 5347, 2370, 117, 1332, 2995, 8429, 4955, 5547, 5055, 4634, 7466, 3002, 8155, 8967, 7292, 2862, 9443, 1339, 6390, 1971, 4080, 3050, 4301, 301, 5653, 8313, 6022, 2792, 7875, 8437, 7353, 2081, 1523, 7715, 4536, 7662, 1411, 6328, 7320, 997, 4383, 9623, 7112, 2765, 814, 5062, 4842, 8046, 8898, 7762, 6325, 7516, 3141, 3132, 6467, 7955, 5877, 369, 7485, 3323, 3420, 3761, 455, 8445, 6454, 9658, 3980, 963, 7708, 5751, 8536, 3618, 8566, 5863, 144, 8170, 334, 7844, 2411, 4278, 5127, 4348, 1710, 1543, 5995, 6313, 6279, 569, 5833, 6737, 6365, 9371, 9856, 8017, 9188, 4768, 6984, 9565, 9465, 4479, 1340, 3633, 3497, 4582, 6270, 6413, 2437, 8696, 9750, 8308, 8227, 9812, 1902, 2004, 3915, 3044, 2399, 9454, 8611, 7721, 8031, 9243, 6136, 255, 8410, 3896, 5611, 4969, 849, 2671, 1660, 8712, 3853, 9125, 1707, 6467, 2293, 4311, 7919, 9421, 6373, 5862, 1733, 3984, 770, 389, 9666, 105, 9982, 1673, 62, 9892, 810, 9896, 1845, 3042, 3183, 7852, 7924, 3857, 6067, 8474, 7924, 5722, 6074, 4305, 7139, 2872, 2576, 3604, 1231, 5947, 4612, 9657, 9069, 7447, 1688, 9567, 9339, 5464, 2695, 6312, 64, 9333, 4588, 3160, 4023, 8732, 5224, 2696, 7198, 8616, 2816, 3639, 1847, 5938, 7811, 7395, 582, 543, 1708, 2868, 2901, 1841, 1299, 2432, 1047, 4917, 6156, 4153, 7750, 4565, 1756, 5399, 4480, 3437, 628, 731, 5108, 937, 9103, 2679, 6604, 2808, 7827, 7396, 5293, 7462, 54, 8469, 4498, 3989, 2939, 1237, 7004, 8557, 3511, 6848, 3629, 422, 2854, 9967, 7447, 6121, 9098, 6609, 1709, 609, 2296, 8811, 8354, 7063, 1983, 1082, 3144, 2861, 1262, 9441, 2940, 7877, 9668, 7668, 378, 2599, 691, 6927, 1330, 7873, 8889, 4327, 911, 5041, 5774, 3183, 4498, 5162, 3316, 2728, 1294, 8630, 8822, 7886, 9253, 1993, 5190, 303, 1875, 7066, 6103, 338, 9321, 8552, 6589, 5915, 8589, 268, 5565, 8259, 51, 6823, 8463, 6392, 594, 7149, 4856, 1978, 6785, 8599, 8115, 3618, 5019, 5533, 1555, 4996, 9448, 4268, 8288, 4445, 2638, 7069, 33, 4416, 8366, 1453, 3528, 8125, 734, 7505, 1853, 7191, 8883, 5125, 1975, 8499, 1968, 5163, 9126, 685, 4795, 3276, 3257, 675, 517, 2964, 2730, 8519, 3148, 4768, 5651, 4406, 9291, 1867, 9825, 5175, 5440, 8443, 8160, 8918, 4503, 6065, 7545, 5336, 2759, 5116, 5697, 6382, 6390, 2785, 2323, 6443, 4909, 6530, 8009, 3796, 7371, 2061, 6723, 5438, 6048, 7895, 5533, 5465, 1433, 4304, 8223, 3179, 1888, 3095, 7829, 833, 1023, 6058, 6841, 2491, 5988, 4183, 2760, 4887, 258, 6747, 1043, 8344, 5195, 9245, 7088, 842, 5720, 1813, 3811, 1121, 6740, 5252, 1644, 7367, 8634, 61, 3329, 6463, 2072, 4994, 6738, 5043, 4718, 5572, 5162, 7665, 4927, 9693, 5969, 9308, 496, 7051, 5366, 9089, 3697, 1409, 9109, 9598, 7360, 9938, 6432, 1594, 634, 1829, 7218, 6917, 7164, 9149, 488, 3430, 2918, 6546, 5652, 4562, 5658, 2794, 6655, 2597, 3140, 6426, 3130, 9231, 2528, 9721, 1996, 9135, 9228, 173, 7535, 2239, 9347, 6247, 7948, 8320, 6368, 4681, 1589, 3064, 9221, 9912, 6671, 8251, 5949, 2285, 4092, 9963, 4415, 626, 4208, 7788, 9071, 6507, 4873, 4866, 758, 2039, 9893, 3342, 4660, 405, 4121, 2289, 106, 8512, 3900, 5471, 4732, 4109, 9260, 4490, 4659, 5511, 7360, 8768, 1833, 677, 5034, 7591, 9413, 3805, 1956, 1026, 6206, 1838, 4970, 5887, 1547, 296, 8409, 132, 2715, 7747, 4863, 4087, 8028, 840, 5770, 9702, 76, 7346, 1477, 9697, 5218, 2923, 5936, 6892, 7420, 8430, 2106, 270, 6786, 8525, 295, 8405, 5741, 9025, 3159, 2771, 8695, 29, 7922, 3133, 4257, 4173, 8443, 4752, 2576, 4538, 7242, 2432, 4231, 4734, 304, 9595, 1252, 4436, 5558, 1505, 5284, 7298, 9284, 525, 2729, 4550, 3384, 7860, 1746, 6817, 469, 634, 1417, 8773, 2972, 5329, 9082, 6045, 7181, 8639, 7889, 1486, 2958, 4615, 2924, 8409, 5189, 2591, 955, 1639, 3554, 3858, 5765, 3390, 3089, 6286, 8351, 9838, 9166, 5185, 8833, 6032, 7038, 5572, 4821, 1299, 7892, 5714, 9208, 4669, 477, 4308, 8886, 2, 9784, 4016, 4693, 3480, 2041, 2177, 2094, 1922, 8300, 5476, 1508, 8974, 7288, 9107, 7031, 7662, 1867, 2559, 2321, 1992, 2438, 3495, 2887, 7360, 4950, 8442, 4668, 9352, 761, 3984, 9867, 3213, 561, 4988, 2304, 1714, 4801, 7017, 6233, 7464, 8610, 8551, 4508, 6785, 88, 4877, 4267, 6221, 7012, 9576, 901, 9452, 8498, 1465, 3947, 1937, 4976, 4473, 1802, 2960, 1940, 5522, 5621, 9924, 375, 745, 6666, 7714, 9515, 3533, 5466, 6732, 5616, 8852, 5645, 6832, 3831, 7030, 37, 768, 8932, 6767, 1804, 34, 4623, 1538, 8663, 7981, 502, 5729, 4043, 9972, 344, 6868, 5023, 7988, 5307, 8141, 3248, 7601, 904, 997, 1642, 8473, 7157, 1116, 6730, 5704, 7199, 2264, 3643, 8224, 778, 1625, 8467, 2156, 5619, 7100, 504, 1658, 1393, 1741, 5213, 7038, 8177, 3021, 7144, 175, 3700, 4941, 996, 199, 1438, 9116, 8095, 8206, 4660, 6955, 5044, 8378, 9902, 8748, 1072, 4298, 7024, 7132, 697, 3467, 2014, 1701, 8725, 91, 2987, 8801, 5314, 6037, 9459, 5500, 9851, 2539, 9915, 9598, 3745, 715, 2910, 8122, 3871, 7222, 2530, 5252, 380, 2523, 9882, 6839, 4848, 3108, 8481, 2783, 7338, 5775, 2881, 399, 3847, 1609, 6722, 1610, 8815, 9631, 8477, 4302, 911, 5290, 592, 3532, 4140, 6917, 503, 1358, 459, 4072, 26, 5066, 4582, 5309, 3009, 2291, 6383, 9297, 9809, 8112, 1439, 2482, 1159, 3595, 5634, 8486, 3280, 7431, 5445, 9324, 731, 2368, 1594, 6161, 3410, 5899, 48, 7822, 9369, 364, 1019, 8566, 5656, 1027, 3589, 2712, 5274, 1972, 831, 2656, 9520, 8720, 7916, 8513, 1478, 3368, 3571, 2189, 8213, 2740, 3486, 6018, 6380, 2545, 2780, 6277, 8345, 872, 3478, 4872, 3695, 2471, 2108, 8262, 4054, 1242, 1973, 1323, 7492, 2075, 4446, 5240, 2496, 4794, 3723, 2749, 478, 2319, 9847, 1118, 84, 2373, 5562, 3067, 6193, 7050, 3556, 8529, 1432, 7412, 1993, 5620, 8279, 883, 7912, 7465, 5370, 7690, 9981, 2651, 2496, 8830, 4428, 987, 4990, 2139, 511, 2959, 9633, 4905, 4826, 856, 1100, 1178, 6931, 1838, 9992, 9430, 2326, 8435, 1024, 1548, 2628, 9908, 2603, 7269, 6971, 8719, 7149, 9126, 3079, 9934, 4836, 1718, 1283, 7840, 2143, 5700, 9803, 3230, 574, 1277, 5031, 6907, 243, 8167, 6273, 9765, 7602, 9027, 410, 7515, 6551, 1147, 8306, 8552, 7401, 6847, 1410, 6800, 8723, 6481, 3987, 7441, 2974, 9183, 3674, 2364, 7990, 5588, 652, 3901, 2908, 3618, 3623, 9943, 8912, 3164, 8986, 906, 2298, 7943, 8153, 9160, 9781, 3195, 6755, 4521, 3735, 5975, 8669, 5215, 8089, 760, 7226, 2283, 3983, 6848, 5773, 6866, 7972, 5605, 9813, 3991, 4544, 4983, 3375, 3550, 9052, 5957, 2974, 9000, 6751, 496, 3519, 6996, 8580, 3568, 1920, 6619, 4567, 2239, 5725, 5188, 1298, 3446, 6156, 8716, 744, 8222, 7119, 9013, 3943, 4270, 4403, 6135, 4514, 635, 2154, 4468, 3790, 7947, 6936, 3024, 1476, 5193, 3206, 5761, 3168, 9309, 7884, 5669, 8829, 7038, 5829, 7161, 4339, 9397, 2516, 4951, 1642, 7919, 4965, 3951, 1682, 8345, 7073, 4014, 8295, 1881, 899, 5339, 573, 6301, 1164, 5247, 5778, 9182, 6241, 4668, 4884, 3404, 5282, 3190, 7998, 673, 7728, 4787, 7522, 2250, 8469, 2458, 2767, 7367, 9138, 8929, 902, 8858, 3670, 2284, 5631, 2415, 4099, 9949, 6795, 599, 825, 1791, 1203, 5223, 86, 3275, 7444, 2057, 215, 2585, 5165, 9938, 7397, 1420, 2364, 2316, 1137, 7773, 2606, 3023, 9389, 409, 7760, 9633, 3407, 9011, 855, 7151, 2771, 972, 7943, 1986, 1759, 5685, 7482, 1148, 9244, 9858, 698, 4465, 5671, 2817, 6612, 8204, 2266, 9116, 976, 6986, 9650, 6806, 9244, 7083, 5246, 3693, 9866, 8309, 1521, 602, 5713, 3564, 9940, 214, 8222, 4822, 8767, 2422, 977, 1824, 6358, 2275, 6893, 5092, 5434, 4594, 5879, 8008, 7950, 119, 7943, 3629, 4678, 1646, 60, 700, 8370, 5041, 3794, 9870, 4451, 9235, 4685, 5526, 8617, 1360, 3694, 835, 6402, 8014, 5633, 3614, 5820, 1338, 9433, 8449, 508, 9048, 339, 6142, 7473, 863, 4712, 4992, 479, 9871, 3925, 9691, 7406, 6285, 5091, 2670, 7492, 2793, 2805, 9645, 2276, 5215, 7912, 5767, 2262, 9552, 6422, 1344, 9867, 6682, 4135, 6364, 8025, 8919, 273, 1239, 3004, 8462, 6477, 7101, 9439, 6349, 5897, 2754, 5340, 1954, 786, 6958, 4969, 7294, 5989, 4102, 7834, 7449, 56, 8527, 2779, 8262, 5289, 7762, 7194, 5135, 2993, 7760, 2668, 2235, 434, 3863, 80, 9702, 1561, 9660, 9108, 7549, 4423, 2179, 9347, 8891, 4403, 5900, 2901, 1822, 3852, 9990, 1130, 8841, 5565, 2842, 1508, 5057, 9602, 5504, 4050, 1584, 436, 932, 582, 8497, 4130, 9095, 4336, 2540, 3304, 8955, 1747, 8347, 1030, 7063, 3151, 8371, 3465, 9110, 4165, 5961, 5033, 5152, 4902, 8024, 9276, 1404, 9925, 8601, 3100, 1555, 7842, 2346, 2088, 8319, 5793, 7354, 9787, 1624, 733, 98, 4447, 3251, 6365, 1330, 2528, 9019, 1873, 721, 9510, 8673, 6164, 9725, 5016, 516, 9268, 6728, 1055, 2525, 711, 5860, 9338, 4210, 3245, 1040, 6026, 3780, 9124, 9792, 27, 3329, 5287, 7151, 4015, 691, 3265, 8609, 5702, 392, 9387, 2441, 597, 7668, 992, 5990, 6452, 8937, 4699, 7526, 3931, 9284, 3545, 5160, 7632, 2543, 797, 6951, 6542, 2373, 9607, 1810, 3237, 3373, 9299, 9127, 6702, 9704, 1077, 6116, 4515, 4973, 8174, 5821, 6317, 1197, 8102, 5426, 1984, 6533, 7506, 4074, 4736, 1179, 3398, 1745, 1513, 8363, 8010, 5901, 404, 2626, 8405, 606, 7644, 789, 6081, 3601, 4759, 1894, 6306, 419, 9801, 1207, 1675, 1058, 5301, 9909, 9468, 3926, 9565, 6521, 7811, 3863, 7234, 8277, 1320, 5834, 9668, 681, 2967, 3621, 5611, 1313, 5223, 3255, 7885, 9564, 184, 4285, 2375, 7453, 5372, 8027, 1463, 7912, 9144, 880, 5233, 6025, 7258, 2543, 283, 5559, 28, 3452, 7761, 7863, 7732, 3175, 9392, 2673, 431, 1615, 2657, 733, 7228, 7892, 4079, 6234, 9132, 7527, 2563, 3049, 9148, 7191, 3171, 2486, 3002, 7664, 5358, 1863, 3990, 9917, 8684, 2581, 5843, 6223, 3355, 3593, 8221, 8101, 2529, 1140, 444, 5534, 8291, 8481, 461, 7395, 3404, 9965, 7643, 1302, 6545, 2236, 2, 2218, 9560, 1624, 8690, 3051, 1491, 864, 5207, 7208, 5593, 134, 9692, 2619, 2393, 7144, 1823, 9094, 3928, 8474, 9434, 6043, 1771, 9727, 3757, 5566, 4162, 5148, 4362, 6705, 5638, 8350, 1341, 274, 5926, 4531, 7022, 71, 3526, 1120, 4640, 5529, 3434, 8220, 6737, 2888, 7726, 2359, 1823, 6831, 2382, 7118, 3817, 2190, 3632, 1988, 5157, 5810, 2356, 6478, 1091, 1951, 5636, 9910, 9647, 691, 422, 8630, 9042, 7757, 5452, 1394, 1871, 5875, 4057, 629, 3347, 2331, 2313, 1908, 9039, 4749, 4080, 6532, 6100, 7273, 6940, 2406, 828, 2321, 762, 6549, 4511, 8861, 3697, 8519, 9024, 6774, 8761, 7781, 3372, 8268, 7853, 9649, 2504, 1557, 9057, 3780, 78, 9043, 7358, 6428, 7617, 2099, 8554, 2654, 3487, 7216, 1054, 7522, 6477, 3760, 501, 5941, 419, 1864, 7727, 9262, 8232, 107, 1404, 2991, 6071, 6505, 2925, 4074, 828, 3132, 2596, 8059, 7146, 4157, 2940, 6178, 3320, 9500, 7123, 9861, 8977, 1430, 7883, 5552, 1266, 9438, 5107, 5806, 449, 9487, 8265, 3611, 235, 7360, 3265, 5627, 2984, 2234, 1985, 6606, 4983, 5836, 6729, 1655, 2411, 4590, 1152, 5191, 4322, 6999, 3844, 5438, 4976, 6186, 651, 1162, 4230, 7998, 7108, 2953, 1304, 8346, 2867, 4821, 4237, 9596, 5907, 3128, 4599, 4700, 5477, 8958, 4627, 9515, 9220, 6899, 1854, 8287, 1736, 7921, 4493, 4627, 8958, 6534, 9391, 487, 5153, 2745, 3192, 8598, 7090, 7444, 6487, 9649, 2991, 5833, 226, 4079, 2235, 7220, 3396, 9753, 5485, 1146, 1102, 1058, 3872, 9103, 2553, 1963, 213, 8394, 9197, 5456, 4837, 9628, 4242, 4431, 3515, 2192, 6179, 4588, 5274, 2676, 524, 8182, 3383, 9672, 6013, 8576, 3699, 4628, 3708, 9458, 742, 2509, 100, 9324, 3341, 7894, 8166, 1350, 8524, 1861, 3578, 1152, 4430, 2494, 6760, 84, 453, 7174, 5338, 9697, 5585, 7967, 5695, 3806, 3960, 2350, 6773, 8168, 9987, 288, 4067, 4223, 4140, 5239, 6827, 2579, 4467, 1056, 6904, 3937, 8160, 8946, 3355, 37, 2213, 8660, 2992, 4848, 2037, 5912, 3353, 6711, 2229, 3651, 1265, 5453, 4197, 8266, 7089, 4556, 1222, 3061, 2060, 7414, 2739, 406, 3673, 8426, 6086, 869, 2015, 4220, 5799, 2296, 8108, 7643, 7635, 4372, 3905, 7331, 6945, 4454, 2360, 8657, 8759, 8661, 5209, 7617, 9, 8105, 5490, 7867, 2666, 3944, 1686, 2473, 278, 6481, 375, 6235, 9364, 2939, 4758, 1442, 1440, 5733, 7074, 9767, 1064, 8058, 3989, 5717, 227, 6450, 5364, 2481, 9653, 615, 8441, 9350, 3138, 9238, 1492, 959, 1907, 6788, 3203, 2539, 2181, 363, 6683, 2078, 609, 7547, 9887, 9837, 9039, 5905, 7435, 8031, 2237, 2291, 2363, 8631, 9564, 5430, 151, 5237, 4383, 8410, 1545, 5755, 3035, 8625, 5141, 6231, 8564, 1503, 5488, 2569, 3074, 904, 7527, 6155, 6598, 3476, 3621, 1376, 9640, 6433, 5110, 7937, 1204, 8250, 6374, 8513, 4025, 9575, 5712, 2758, 3988, 7305, 4000, 1982, 1251, 8213, 9052, 4926, 6482, 9778, 886, 3953, 6788, 4935, 684, 2733, 2401, 4357, 4133, 1010, 7017, 4564, 8047, 9422, 1778, 2686, 7704, 7484, 5332, 8998, 1151, 848, 147, 6511, 5913, 9720, 8312, 2837, 2951, 8941, 8429, 3290, 2565, 1634, 8872, 5791, 6941, 2570, 1699, 7503, 4519, 4415, 5801, 323, 2011, 9918, 7481, 7382, 970, 5717, 1613, 5512, 7106, 8957, 6749, 9278, 2242, 6193, 3113, 621, 718, 5132, 3292, 4418, 4371, 3732, 1601, 4337, 2764, 7854, 9609, 5249, 8282, 8237, 2118, 8158, 8879, 9908, 9991, 1115, 4833, 2304, 3668, 4912, 9662, 6366, 3969, 5483, 9528, 5652, 4798, 5879, 9923, 2120, 5778, 9457, 3178, 3656, 1487, 2491, 5463, 9629, 8005, 8787, 7310, 2831, 6727, 1096, 7427, 978, 90, 4123, 5598, 8627, 3725, 1748, 6769, 865, 4837, 6719, 5125, 3371, 7146, 4512, 3872, 9600, 8606, 4327, 3747, 4727, 9292, 9252, 858, 7728, 3341, 4506, 2352, 7513, 647, 7391, 6625, 6380, 1111, 5066, 3315, 4228, 6701, 6601, 7158, 9939, 4312, 3881, 8925, 2141, 5454, 1913, 6145, 143, 7209, 2792, 6072, 7298, 2528, 9225, 3443, 3209, 6974, 2830, 5999, 8298, 3301, 9674, 1423, 4086, 4886, 488, 389, 5175, 3964, 5854, 1755, 4449, 853, 7256, 7586, 1263, 5925, 3364, 7639, 3510, 6929, 7167, 5240, 8372, 479, 3645, 9055, 3278, 7985, 9555, 8163, 8146, 3144, 6602, 1050, 2343, 192, 6778, 2678, 4934, 9586, 3976, 7600, 4808, 492, 9109, 1265, 8043, 7550, 6938, 6106, 3451, 2715, 1534, 3783, 3720, 1701, 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After sorting: [0, 1, 2, 2, 4, 6, 8, 9, 15, 21, 26, 27, 28, 29, 29, 33, 33, 34, 37, 37, 37, 39, 41, 43, 44, 47, 48, 50, 51, 54, 54, 56, 60, 61, 62, 62, 64, 68, 68, 71, 71, 75, 76, 78, 80, 84, 84, 86, 86, 88, 90, 90, 91, 95, 95, 97, 98, 100, 103, 104, 105, 106, 107, 107, 112, 117, 119, 127, 132, 134, 143, 143, 144, 147, 149, 151, 153, 157, 158, 161, 164, 169, 172, 172, 173, 175, 178, 184, 186, 187, 192, 194, 195, 196, 199, 205, 208, 213, 214, 214, 214, 215, 216, 218, 219, 226, 227, 228, 230, 231, 235, 236, 239, 243, 243, 243, 248, 250, 255, 258, 259, 267, 268, 270, 273, 274, 274, 275, 277, 278, 280, 280, 283, 285, 288, 290, 292, 294, 295, 295, 296, 301, 303, 304, 304, 307, 309, 314, 315, 317, 320, 323, 325, 326, 328, 334, 338, 339, 344, 345, 347, 347, 350, 353, 354, 354, 356, 363, 364, 364, 365, 369, 373, 375, 375, 378, 380, 383, 383, 386, 389, 389, 389, 392, 392, 393, 393, 393, 394, 394, 396, 397, 399, 400, 402, 404, 405, 406, 408, 408, 409, 409, 410, 413, 415, 417, 419, 419, 421, 422, 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2160, 2163, 2163, 2171, 2172, 2175, 2177, 2179, 2180, 2181, 2183, 2184, 2189, 2189, 2190, 2190, 2192, 2195, 2196, 2197, 2200, 2213, 2213, 2218, 2226, 2229, 2231, 2233, 2234, 2234, 2235, 2235, 2236, 2237, 2239, 2239, 2239, 2239, 2242, 2244, 2246, 2247, 2248, 2250, 2255, 2258, 2259, 2262, 2262, 2262, 2264, 2264, 2266, 2273, 2275, 2276, 2280, 2282, 2283, 2284, 2285, 2289, 2289, 2291, 2291, 2291, 2293, 2295, 2296, 2296, 2298, 2299, 2300, 2304, 2304, 2304, 2313, 2313, 2314, 2314, 2316, 2319, 2321, 2321, 2323, 2326, 2331, 2333, 2334, 2335, 2335, 2337, 2340, 2340, 2342, 2343, 2345, 2346, 2350, 2351, 2352, 2356, 2359, 2360, 2360, 2360, 2363, 2364, 2364, 2368, 2370, 2371, 2372, 2373, 2373, 2374, 2375, 2377, 2382, 2388, 2389, 2390, 2393, 2395, 2396, 2398, 2399, 2401, 2402, 2402, 2403, 2406, 2411, 2411, 2415, 2415, 2416, 2416, 2422, 2425, 2426, 2429, 2432, 2432, 2437, 2438, 2441, 2444, 2444, 2455, 2458, 2458, 2465, 2465, 2471, 2473, 2481, 2482, 2483, 2486, 2491, 2491, 2494, 2495, 2495, 2496, 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8512, 8513, 8513, 8519, 8519, 8521, 8524, 8525, 8525, 8527, 8528, 8529, 8529, 8532, 8534, 8534, 8536, 8548, 8548, 8549, 8549, 8550, 8551, 8551, 8552, 8552, 8554, 8557, 8563, 8563, 8564, 8566, 8566, 8575, 8576, 8580, 8582, 8584, 8584, 8586, 8589, 8590, 8598, 8599, 8600, 8601, 8602, 8602, 8604, 8604, 8606, 8609, 8610, 8611, 8611, 8615, 8616, 8617, 8617, 8619, 8621, 8625, 8627, 8628, 8629, 8630, 8630, 8631, 8632, 8633, 8634, 8639, 8643, 8644, 8647, 8647, 8649, 8657, 8659, 8660, 8661, 8661, 8663, 8665, 8665, 8666, 8669, 8669, 8673, 8674, 8674, 8676, 8677, 8683, 8684, 8684, 8686, 8687, 8690, 8695, 8696, 8702, 8704, 8708, 8709, 8710, 8712, 8716, 8719, 8720, 8723, 8725, 8727, 8728, 8729, 8732, 8743, 8748, 8757, 8759, 8759, 8761, 8767, 8768, 8771, 8771, 8773, 8776, 8778, 8787, 8791, 8791, 8801, 8803, 8803, 8804, 8807, 8807, 8808, 8811, 8815, 8815, 8817, 8818, 8822, 8827, 8828, 8829, 8830, 8831, 8833, 8835, 8835, 8840, 8840, 8841, 8849, 8849, 8850, 8851, 8852, 8852, 8854, 8854, 8857, 8858, 8861, 8863, 8864, 8867, 8867, 8872, 8879, 8883, 8885, 8886, 8887, 8888, 8889, 8891, 8892, 8896, 8898, 8899, 8901, 8906, 8906, 8911, 8912, 8913, 8918, 8919, 8919, 8920, 8921, 8925, 8925, 8928, 8928, 8929, 8929, 8932, 8933, 8935, 8937, 8941, 8943, 8946, 8951, 8955, 8955, 8957, 8957, 8958, 8958, 8959, 8964, 8964, 8967, 8970, 8970, 8972, 8973, 8974, 8977, 8984, 8986, 8986, 8996, 8998, 9000, 9004, 9007, 9008, 9011, 9013, 9013, 9017, 9019, 9021, 9024, 9024, 9025, 9027, 9027, 9028, 9033, 9035, 9036, 9036, 9039, 9039, 9042, 9042, 9043, 9046, 9047, 9048, 9048, 9052, 9052, 9055, 9057, 9057, 9061, 9068, 9069, 9071, 9076, 9077, 9080, 9082, 9086, 9089, 9092, 9094, 9095, 9095, 9098, 9099, 9099, 9100, 9103, 9103, 9107, 9107, 9108, 9109, 9109, 9109, 9110, 9110, 9111, 9111, 9116, 9116, 9118, 9119, 9120, 9120, 9123, 9124, 9125, 9126, 9126, 9127, 9129, 9131, 9132, 9133, 9133, 9135, 9138, 9142, 9144, 9146, 9147, 9148, 9149, 9150, 9150, 9155, 9160, 9162, 9166, 9174, 9176, 9182, 9183, 9188, 9190, 9193, 9193, 9197, 9200, 9201, 9203, 9208, 9209, 9212, 9215, 9218, 9218, 9220, 9221, 9225, 9225, 9227, 9228, 9231, 9231, 9234, 9235, 9236, 9237, 9238, 9242, 9242, 9243, 9243, 9244, 9244, 9244, 9245, 9247, 9251, 9252, 9253, 9253, 9259, 9260, 9261, 9262, 9265, 9268, 9268, 9272, 9276, 9277, 9278, 9278, 9280, 9284, 9284, 9287, 9289, 9291, 9291, 9292, 9294, 9297, 9299, 9305, 9305, 9306, 9307, 9308, 9309, 9313, 9317, 9321, 9322, 9322, 9324, 9324, 9330, 9330, 9333, 9335, 9335, 9338, 9339, 9340, 9341, 9341, 9343, 9343, 9347, 9347, 9350, 9350, 9352, 9352, 9352, 9354, 9359, 9359, 9360, 9361, 9363, 9363, 9364, 9364, 9369, 9369, 9371, 9372, 9372, 9372, 9374, 9377, 9387, 9387, 9389, 9389, 9391, 9391, 9392, 9392, 9394, 9395, 9397, 9397, 9397, 9399, 9399, 9400, 9400, 9404, 9408, 9410, 9412, 9413, 9421, 9421, 9422, 9427, 9430, 9433, 9434, 9437, 9438, 9438, 9439, 9440, 9441, 9441, 9443, 9448, 9450, 9452, 9452, 9454, 9454, 9457, 9458, 9459, 9460, 9463, 9465, 9468, 9479, 9484, 9487, 9490, 9490, 9490, 9491, 9491, 9497, 9498, 9499, 9500, 9506, 9508, 9510, 9510, 9511, 9513, 9515, 9515, 9520, 9520, 9524, 9525, 9528, 9529, 9531, 9535, 9537, 9540, 9541, 9543, 9548, 9550, 9550, 9552, 9555, 9557, 9560, 9560, 9562, 9562, 9564, 9564, 9565, 9565, 9565, 9567, 9575, 9576, 9577, 9579, 9585, 9585, 9586, 9595, 9595, 9596, 9596, 9598, 9598, 9600, 9600, 9602, 9602, 9605, 9607, 9608, 9609, 9609, 9609, 9619, 9623, 9628, 9629, 9631, 9632, 9633, 9633, 9636, 9637, 9640, 9640, 9640, 9645, 9647, 9649, 9649, 9650, 9650, 9651, 9653, 9653, 9656, 9656, 9657, 9657, 9658, 9660, 9662, 9666, 9668, 9668, 9668, 9668, 9672, 9672, 9674, 9675, 9679, 9679, 9683, 9687, 9691, 9691, 9692, 9693, 9697, 9697, 9701, 9701, 9702, 9702, 9702, 9704, 9708, 9708, 9709, 9717, 9720, 9721, 9721, 9722, 9723, 9725, 9726, 9727, 9739, 9739, 9743, 9744, 9745, 9750, 9753, 9753, 9753, 9754, 9757, 9761, 9764, 9765, 9767, 9771, 9778, 9781, 9784, 9787, 9787, 9791, 9792, 9792, 9794, 9794, 9794, 9801, 9803, 9803, 9809, 9812, 9813, 9814, 9824, 9825, 9826, 9832, 9837, 9838, 9838, 9840, 9841, 9842, 9846, 9847, 9849, 9851, 9853, 9856, 9856, 9858, 9860, 9861, 9861, 9866, 9867, 9867, 9870, 9871, 9872, 9881, 9882, 9887, 9891, 9891, 9892, 9893, 9896, 9896, 9896, 9899, 9901, 9902, 9908, 9908, 9908, 9909, 9910, 9912, 9913, 9915, 9916, 9917, 9918, 9923, 9924, 9925, 9932, 9933, 9934, 9938, 9938, 9939, 9940, 9940, 9942, 9943, 9949, 9949, 9949, 9958, 9962, 9963, 9964, 9965, 9966, 9967, 9967, 9969, 9971, 9972, 9972, 9981, 9982, 9986, 9987, 9990, 9991, 9992, 9992, 9994, 9998, 9998]

// Quick Sort
import java.util.Arrays;

public class QuickSort {
    public static void main(String[] args) {
        int[] arr = new int[5000];
        // Fill the array with random integers
        for (int i = 0; i < arr.length; i++) {
            arr[i] = (int) (Math.random() * 10000);
        }
        
        System.out.println("Before sorting: " + Arrays.toString(arr));
        
        // Sort the array using Quick Sort
        quickSort(arr, 0, arr.length - 1);
        
        System.out.println("After sorting: " + Arrays.toString(arr));
    }
    
    public static void quickSort(int[] arr, int left, int right) {
        if (left < right) {
            int pivotIndex = partition(arr, left, right);
            quickSort(arr, left, pivotIndex - 1);
            quickSort(arr, pivotIndex + 1, right);
        }
    }
    
    public static int partition(int[] arr, int left, int right) {
        int pivot = arr[right];
        int i = left - 1;
        for (int j = left; j < right; j++) {
            if (arr[j] <= pivot) {
                i++;
                swap(arr, i, j);
            }
        }
        swap(arr, i + 1, right);
        return i + 1;
    }
    
    public static void swap(int[] arr, int i, int j) {
        int temp = arr[i];
        arr[i] = arr[j];
        arr[j] = temp;
    }
}
QuickSort.main(null);

Before sorting: [7280, 7607, 1001, 8533, 4794, 4597, 686, 8718, 7478, 4642, 5010, 1015, 3344, 1254, 4464, 1498, 5831, 9914, 5770, 6355, 2202, 1144, 928, 1255, 2314, 6071, 5891, 9171, 8677, 7210, 2801, 8236, 1751, 4974, 7899, 357, 149, 3438, 3101, 780, 4081, 7286, 3062, 8575, 1749, 5523, 1071, 8084, 2655, 6556, 6534, 1800, 8805, 3536, 3978, 5841, 4667, 8466, 8548, 200, 9397, 8540, 5750, 7320, 310, 8398, 3874, 4160, 4896, 7537, 5941, 4902, 9766, 3005, 4288, 3722, 8810, 3681, 5001, 9620, 9635, 3918, 1250, 8234, 6811, 1166, 4310, 8742, 2893, 4285, 8547, 7504, 3281, 6697, 1974, 3935, 8995, 1285, 7110, 8233, 2240, 1966, 7846, 5057, 3205, 291, 6735, 2041, 2992, 4040, 3757, 7094, 6780, 8841, 1934, 3845, 3362, 3084, 7419, 312, 2088, 1085, 1648, 1898, 5848, 9323, 1002, 6134, 9272, 5870, 5043, 3278, 4568, 3663, 7832, 3803, 3556, 4128, 8116, 1105, 3337, 8887, 3211, 5354, 4805, 3725, 8339, 2282, 7720, 833, 7819, 8950, 3423, 2452, 7070, 7048, 6440, 1473, 4684, 3101, 9212, 2297, 1950, 4138, 9953, 8308, 3195, 6824, 2271, 688, 4022, 7823, 6578, 6988, 6132, 3275, 7560, 6848, 6791, 5638, 9013, 6579, 8187, 6888, 7206, 3944, 6956, 8073, 6592, 9380, 6961, 6568, 7176, 184, 9040, 4026, 1139, 9714, 9909, 9974, 7401, 4530, 8638, 8298, 6767, 8605, 3207, 6426, 6962, 5188, 1527, 9928, 6476, 3752, 1019, 8483, 8433, 1543, 8336, 2647, 897, 6710, 6147, 4733, 7996, 2700, 7038, 1252, 7039, 1708, 5528, 8814, 404, 8296, 7956, 179, 7385, 3001, 6568, 2234, 426, 9748, 8534, 3066, 2200, 174, 2779, 1012, 4850, 2601, 7590, 4605, 382, 3326, 9702, 8672, 1653, 3136, 1277, 8454, 6730, 2520, 4587, 654, 5449, 4907, 5483, 7512, 5967, 8451, 5820, 7655, 799, 3375, 1885, 5345, 6371, 3701, 547, 7954, 7504, 9285, 7408, 47, 8369, 6543, 1503, 1257, 4466, 3976, 9283, 4324, 5947, 1663, 6501, 9096, 1227, 2264, 459, 8098, 1220, 4751, 6562, 9333, 8788, 1083, 2580, 2413, 5019, 351, 1172, 4792, 3804, 4526, 6257, 5936, 8852, 4892, 1629, 8573, 2765, 8471, 861, 7837, 6075, 9320, 5964, 1073, 5255, 442, 8569, 3343, 2638, 8232, 1415, 6271, 7895, 2879, 9881, 755, 259, 4943, 2921, 7296, 3077, 468, 342, 1210, 7361, 4379, 8626, 3832, 9081, 4711, 688, 4982, 5644, 8229, 5854, 6391, 682, 1388, 5153, 615, 2630, 9264, 3547, 4996, 1846, 9078, 5150, 5670, 3036, 4231, 9631, 2318, 4621, 9410, 8068, 378, 4332, 7240, 4289, 3792, 820, 2196, 3398, 7986, 4325, 8067, 2629, 9768, 5597, 1118, 922, 8092, 1128, 2268, 2699, 7223, 4525, 8133, 8189, 1748, 8369, 2537, 7356, 1079, 8267, 7261, 7006, 9628, 978, 3210, 936, 7669, 1450, 910, 1171, 7048, 9421, 2337, 4229, 5380, 4836, 4416, 171, 2122, 2716, 8227, 3710, 24, 2405, 6953, 6076, 5850, 3095, 9888, 3522, 4966, 7433, 9480, 3351, 5430, 7657, 3273, 1182, 8555, 4180, 2892, 3817, 4563, 4865, 7749, 477, 3896, 4287, 2030, 1489, 7070, 6244, 9695, 7539, 8492, 9478, 3724, 4504, 2588, 6114, 2650, 8574, 3818, 4680, 9527, 3889, 5635, 4739, 5929, 216, 7337, 8145, 6309, 1370, 1851, 2711, 6108, 5977, 2022, 7698, 370, 973, 7679, 6946, 8305, 4797, 908, 4688, 3236, 1618, 2300, 1133, 6662, 128, 6718, 9768, 9809, 458, 3087, 5979, 5948, 574, 9105, 7082, 2027, 9172, 8389, 7127, 8696, 5520, 4542, 5982, 3702, 7943, 3917, 1065, 4782, 1767, 6405, 1863, 4700, 4353, 1531, 1908, 2871, 9621, 5287, 216, 5128, 6913, 1718, 4386, 5635, 9417, 2079, 516, 2684, 5461, 3536, 895, 3159, 1975, 8861, 9028, 8850, 3154, 8331, 2965, 1450, 8933, 5139, 2145, 2076, 7274, 6012, 9991, 5469, 1459, 9471, 4356, 8629, 8586, 5157, 586, 8588, 8308, 9014, 7440, 4264, 1461, 762, 4399, 2891, 6701, 2039, 0, 2391, 9506, 5907, 4755, 7244, 2001, 948, 8925, 6890, 3910, 6136, 4974, 2525, 4672, 5835, 6891, 246, 4250, 7830, 3700, 5955, 5481, 1125, 2499, 168, 3968, 4378, 7122, 8921, 2436, 342, 2151, 353, 5261, 6415, 8408, 5217, 5430, 6524, 5269, 3557, 595, 4938, 7229, 9119, 7062, 8350, 6948, 7647, 582, 8568, 4706, 5197, 621, 4497, 4667, 7783, 437, 8764, 1639, 4291, 8706, 1273, 8127, 409, 9752, 9269, 376, 2553, 8452, 1075, 3856, 7209, 2804, 8574, 3159, 2980, 1852, 1691, 8643, 9688, 9127, 6704, 2313, 1347, 2142, 9003, 8432, 7561, 6573, 97, 115, 949, 9721, 8122, 1772, 6580, 1601, 876, 8715, 3073, 3600, 495, 9406, 4007, 3994, 9299, 2937, 2620, 6839, 7021, 4126, 2354, 5759, 684, 1325, 770, 6954, 9722, 7480, 4584, 6418, 579, 3292, 9128, 4776, 7001, 2437, 6428, 9426, 4492, 2699, 2250, 7736, 25, 3611, 3975, 6936, 946, 749, 7966, 6042, 285, 9148, 7207, 2645, 9164, 3517, 7421, 2746, 852, 869, 2643, 4935, 5168, 1988, 9235, 1153, 6385, 1784, 754, 5058, 2577, 4941, 4713, 5570, 9424, 2570, 6312, 7561, 6902, 7544, 3499, 3855, 3002, 1112, 2336, 2708, 4617, 999, 1607, 2760, 2127, 1717, 804, 3103, 802, 1093, 6232, 9520, 9158, 3096, 5797, 9252, 1644, 6015, 4261, 5690, 631, 6716, 7222, 1289, 592, 6274, 3883, 1696, 5554, 9632, 5803, 6589, 9437, 2084, 1244, 3063, 7734, 8385, 2487, 5497, 8132, 6057, 6523, 1831, 7150, 3082, 7928, 9902, 9616, 1570, 6369, 9089, 7934, 3253, 230, 1875, 8450, 9639, 2108, 7154, 2978, 9587, 1591, 2112, 4540, 9662, 5623, 2326, 7727, 8150, 7030, 383, 5750, 1890, 7337, 1727, 8177, 6182, 851, 2750, 5679, 1953, 3204, 185, 634, 1082, 9009, 2742, 5404, 330, 116, 5648, 3257, 6682, 8048, 6242, 468, 2068, 1660, 4097, 1947, 3397, 3770, 2300, 6913, 4651, 8616, 7437, 5587, 1377, 5298, 4603, 2634, 4327, 1126, 349, 8212, 8239, 2700, 818, 2851, 3774, 1941, 4568, 8112, 5499, 8839, 9554, 996, 6447, 2664, 1577, 6432, 293, 8610, 7153, 8779, 5448, 7395, 7178, 295, 1492, 1228, 9044, 1752, 7288, 706, 3931, 7995, 1819, 3736, 2879, 9139, 3382, 9344, 9932, 6289, 60, 6389, 3193, 9230, 4628, 9594, 4898, 2338, 9973, 3090, 9797, 4127, 6926, 4692, 7055, 5329, 5008, 2520, 4644, 128, 7988, 9230, 6788, 5323, 416, 8160, 4382, 2540, 8284, 9945, 5531, 9356, 6876, 7835, 8335, 6216, 1490, 4818, 893, 7353, 2219, 5964, 4126, 5594, 2267, 4889, 1461, 2868, 360, 4176, 5677, 532, 1752, 5713, 7301, 6210, 9047, 8453, 807, 6732, 3584, 7859, 4587, 9990, 513, 3466, 8155, 2038, 5832, 8373, 5377, 9615, 1643, 7269, 5663, 2396, 6679, 7618, 5980, 3783, 2753, 2015, 5332, 3766, 4198, 8406, 9909, 2519, 6589, 8853, 1489, 8780, 3095, 6831, 3894, 2768, 1641, 7679, 2283, 9427, 3745, 6726, 7919, 4122, 6369, 4900, 6643, 9562, 1392, 2146, 2782, 9682, 3462, 4871, 1425, 3514, 5853, 4806, 1132, 9618, 5709, 3177, 5964, 9608, 4589, 5872, 475, 7460, 7592, 2421, 3774, 9861, 4477, 4033, 9118, 1658, 9214, 3678, 3608, 9658, 155, 4260, 8529, 7445, 1644, 9289, 4612, 3698, 9278, 4166, 8092, 6555, 5293, 5145, 2799, 6983, 7538, 7389, 731, 4820, 5420, 3135, 8567, 2168, 8802, 5897, 380, 199, 1368, 6926, 7489, 7022, 8226, 5649, 4774, 6270, 8637, 6726, 9105, 8330, 8682, 2507, 9546, 8716, 5382, 1200, 935, 993, 3359, 7827, 2091, 4872, 7454, 7212, 7445, 3633, 9894, 5632, 6190, 8836, 8581, 540, 6194, 4485, 3868, 5794, 859, 7210, 4776, 3242, 5879, 3867, 2042, 125, 9404, 2999, 4601, 5834, 3522, 2021, 8160, 798, 7161, 7711, 9359, 4935, 507, 3598, 6690, 3019, 8892, 4186, 9836, 9559, 9700, 2603, 2343, 6349, 9317, 5218, 8693, 1704, 8391, 4064, 5725, 1599, 2759, 5473, 93, 9405, 4261, 1229, 7982, 2717, 376, 6782, 686, 2927, 4120, 9568, 9766, 5566, 5959, 9313, 8540, 7244, 7639, 1388, 2405, 8025, 3773, 3685, 9125, 6478, 789, 7327, 1605, 8308, 4411, 1548, 9945, 8464, 6234, 3533, 6542, 940, 7150, 4682, 7934, 99, 391, 5813, 9698, 2271, 9774, 5140, 6198, 6642, 9384, 4531, 5298, 9977, 9343, 1482, 9221, 631, 8626, 6564, 6682, 3433, 9893, 8639, 8128, 8575, 3252, 3085, 5480, 4393, 5528, 1444, 107, 6094, 9123, 4472, 7939, 9878, 9901, 4367, 8601, 4663, 6638, 6136, 6245, 1690, 5537, 2503, 3352, 5623, 2074, 1546, 5200, 9471, 8994, 1335, 1920, 9638, 3686, 1245, 7102, 6713, 333, 5329, 6766, 2242, 2283, 9156, 182, 1638, 7863, 7886, 4502, 8651, 8523, 9945, 8445, 7359, 1655, 7701, 6411, 3508, 1634, 3752, 3270, 8243, 1789, 9061, 1846, 3709, 6805, 7069, 9625, 1877, 9818, 6119, 8590, 4996, 963, 1054, 2234, 8570, 4415, 3697, 6800, 5459, 9169, 1066, 9567, 2779, 4691, 9634, 5625, 1632, 6353, 3728, 5987, 3405, 7160, 6246, 4102, 5328, 1617, 279, 4918, 2342, 4819, 909, 430, 1890, 4840, 7531, 8381, 3219, 9322, 8326, 6224, 3016, 7797, 206, 743, 4726, 9732, 9505, 4860, 9826, 4532, 938, 7046, 5457, 3823, 4991, 5493, 4334, 8207, 6744, 8750, 9676, 400, 2394, 6867, 9979, 4144, 3239, 2260, 5919, 3633, 739, 7511, 4402, 1311, 395, 8064, 2843, 2860, 6699, 1426, 108, 6945, 6120, 866, 9253, 3853, 232, 858, 1192, 1570, 6462, 3532, 7694, 8, 9662, 268, 6791, 4119, 3715, 226, 3546, 4457, 8758, 8089, 4423, 9385, 6216, 6573, 4027, 6550, 831, 5386, 8875, 2544, 6136, 7209, 4012, 8710, 7406, 3010, 4813, 7955, 4035, 3562, 8092, 2122, 1486, 1344, 3770, 1982, 1484, 7224, 787, 2238, 7977, 9259, 8678, 2051, 5533, 6758, 9309, 7571, 6281, 1363, 1606, 6681, 1327, 8293, 5824, 7766, 2619, 5159, 2880, 3700, 1648, 2768, 8586, 9403, 2115, 2205, 2228, 6393, 4667, 5156, 3890, 529, 3181, 9876, 5135, 9787, 3721, 3548, 3243, 7389, 9236, 2843, 56, 1812, 5370, 8420, 2664, 9327, 5311, 5851, 4665, 6568, 4546, 4953, 3538, 343, 9563, 1917, 1788, 9413, 8082, 3750, 6934, 8269, 2258, 2532, 8203, 6102, 394, 7808, 5789, 5061, 7236, 8985, 1954, 717, 7624, 6088, 1900, 4160, 3422, 6393, 6354, 9589, 9019, 6539, 7102, 3419, 6401, 4559, 1332, 965, 6848, 3929, 578, 4561, 2615, 2237, 5301, 2629, 8633, 329, 6698, 2644, 1208, 3928, 3199, 2208, 7990, 8614, 302, 1518, 1059, 791, 8870, 7394, 2871, 1814, 8847, 3741, 3049, 9779, 2451, 5806, 2486, 3682, 3330, 5942, 99, 7597, 5936, 6710, 6714, 8326, 2396, 3090, 11, 8594, 2560, 9346, 4265, 9250, 6553, 7666, 8659, 8177, 8194, 5057, 8406, 668, 1903, 2202, 3566, 5851, 5391, 2977, 1526, 6433, 5302, 6160, 407, 4502, 3269, 1483, 2336, 4431, 5371, 645, 7477, 5000, 8870, 150, 1988, 6806, 6259, 6908, 5660, 7742, 8187, 9429, 7904, 8848, 3587, 7129, 3942, 5235, 7498, 7779, 6610, 1906, 4470, 8453, 3006, 2305, 8191, 8472, 9355, 8188, 6055, 3755, 1951, 3057, 726, 812, 6802, 7768, 9458, 5108, 5662, 6169, 5914, 2978, 1599, 692, 8541, 8434, 2886, 2625, 4169, 6224, 94, 9501, 5436, 321, 7547, 2500, 5896, 2673, 7002, 43, 7211, 462, 8332, 9887, 8685, 1410, 9302, 913, 627, 5718, 4095, 7562, 9464, 125, 8157, 4381, 4370, 4264, 5123, 5515, 2295, 2008, 151, 4157, 683, 800, 2782, 9911, 4951, 143, 1624, 7846, 815, 6304, 2614, 1618, 9961, 4120, 2392, 4434, 1200, 8306, 8388, 5882, 8275, 6086, 7657, 9678, 9771, 152, 7178, 7250, 6212, 5966, 9378, 4724, 4342, 243, 7980, 6365, 8867, 8089, 901, 5836, 7446, 4720, 8928, 7702, 5624, 3930, 1136, 5558, 4567, 9576, 628, 9872, 5952, 8205, 7067, 8175, 5172, 664, 5671, 2586, 6147, 8041, 5896, 4832, 8446, 2588, 6842, 6883, 176, 7454, 584, 6143, 8163, 9945, 9082, 7712, 293, 1851, 5112, 2659, 3593, 6897, 2734, 495, 5594, 9794, 8225, 6036, 5863, 3555, 8109, 5743, 9165, 1742, 6954, 6259, 1691, 141, 3917, 8351, 7000, 8004, 3716, 2776, 8898, 2413, 4603, 654, 4341, 632, 3269, 9887, 622, 4328, 4118, 862, 7614, 6473, 8313, 9241, 7635, 6415, 6174, 965, 2615, 1110, 5034, 4803, 696, 846, 3522, 714, 2122, 5919, 2365, 8122, 7335, 6659, 1276, 6774, 8583, 2972, 1273, 4279, 9989, 1141, 1850, 8666, 61, 5004, 2842, 1331, 4913, 5822, 1516, 5575, 81, 180, 6455, 8646, 3766, 8061, 1151, 645, 4562, 3879, 1852, 1938, 2296, 1715, 6189, 1862, 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After sorting: [0, 6, 7, 8, 9, 11, 11, 12, 12, 23, 24, 24, 25, 30, 30, 37, 39, 40, 40, 41, 42, 43, 47, 48, 52, 53, 54, 54, 56, 60, 61, 64, 66, 68, 70, 71, 81, 82, 84, 91, 92, 92, 93, 94, 94, 96, 97, 97, 99, 99, 99, 99, 101, 102, 107, 107, 108, 108, 110, 112, 112, 115, 116, 120, 124, 125, 125, 126, 128, 128, 131, 132, 135, 137, 137, 139, 141, 143, 145, 149, 150, 151, 152, 155, 159, 159, 165, 166, 168, 171, 174, 176, 179, 180, 182, 184, 184, 185, 185, 190, 191, 194, 194, 196, 197, 199, 199, 200, 206, 208, 209, 213, 215, 216, 216, 217, 217, 226, 229, 229, 229, 230, 232, 233, 239, 243, 244, 246, 248, 248, 248, 250, 254, 259, 259, 264, 268, 269, 279, 281, 283, 285, 287, 288, 288, 289, 290, 291, 293, 293, 293, 294, 295, 296, 299, 302, 303, 310, 312, 313, 315, 316, 319, 321, 325, 329, 330, 333, 336, 340, 342, 342, 343, 347, 348, 349, 351, 353, 354, 354, 357, 357, 359, 360, 360, 360, 362, 367, 370, 374, 375, 376, 376, 376, 377, 378, 380, 382, 382, 383, 387, 391, 394, 395, 400, 404, 406, 407, 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8175, 8177, 8177, 8182, 8185, 8187, 8187, 8187, 8188, 8189, 8191, 8192, 8194, 8201, 8202, 8203, 8205, 8205, 8207, 8212, 8225, 8225, 8226, 8227, 8229, 8232, 8233, 8234, 8234, 8235, 8236, 8239, 8240, 8243, 8244, 8244, 8246, 8247, 8248, 8258, 8259, 8266, 8267, 8268, 8269, 8271, 8273, 8274, 8274, 8275, 8276, 8280, 8280, 8280, 8280, 8281, 8282, 8283, 8283, 8284, 8286, 8288, 8289, 8292, 8293, 8293, 8294, 8295, 8296, 8298, 8302, 8303, 8305, 8306, 8308, 8308, 8308, 8310, 8310, 8313, 8313, 8313, 8325, 8325, 8326, 8326, 8327, 8330, 8331, 8332, 8332, 8334, 8335, 8336, 8338, 8339, 8342, 8349, 8350, 8351, 8351, 8354, 8357, 8364, 8365, 8367, 8367, 8369, 8369, 8369, 8373, 8375, 8375, 8378, 8379, 8381, 8385, 8388, 8388, 8389, 8391, 8391, 8394, 8395, 8396, 8398, 8406, 8406, 8406, 8408, 8414, 8420, 8420, 8429, 8432, 8433, 8433, 8434, 8436, 8436, 8444, 8445, 8446, 8448, 8450, 8451, 8452, 8453, 8453, 8454, 8460, 8463, 8464, 8464, 8466, 8469, 8470, 8471, 8472, 8472, 8477, 8480, 8481, 8483, 8483, 8485, 8492, 8495, 8497, 8498, 8499, 8507, 8507, 8507, 8508, 8508, 8508, 8518, 8519, 8521, 8523, 8529, 8531, 8533, 8534, 8535, 8539, 8540, 8540, 8541, 8541, 8547, 8547, 8548, 8549, 8550, 8551, 8555, 8566, 8567, 8568, 8569, 8569, 8570, 8573, 8574, 8574, 8575, 8575, 8575, 8576, 8581, 8583, 8585, 8585, 8585, 8586, 8586, 8588, 8588, 8589, 8590, 8594, 8598, 8599, 8600, 8601, 8601, 8605, 8610, 8612, 8613, 8614, 8616, 8623, 8623, 8626, 8626, 8628, 8629, 8629, 8633, 8637, 8637, 8638, 8638, 8639, 8639, 8643, 8644, 8644, 8644, 8646, 8650, 8651, 8651, 8652, 8657, 8657, 8659, 8666, 8666, 8668, 8672, 8672, 8676, 8677, 8678, 8678, 8679, 8682, 8683, 8684, 8685, 8686, 8687, 8688, 8689, 8691, 8692, 8693, 8694, 8695, 8696, 8701, 8703, 8704, 8706, 8710, 8711, 8715, 8716, 8718, 8718, 8722, 8723, 8734, 8741, 8742, 8743, 8748, 8750, 8750, 8756, 8756, 8758, 8764, 8772, 8776, 8778, 8779, 8779, 8779, 8780, 8780, 8785, 8785, 8788, 8790, 8795, 8796, 8797, 8799, 8802, 8802, 8803, 8804, 8805, 8806, 8806, 8809, 8810, 8812, 8813, 8814, 8818, 8820, 8823, 8830, 8833, 8834, 8836, 8837, 8838, 8839, 8839, 8839, 8841, 8843, 8844, 8844, 8845, 8847, 8848, 8848, 8850, 8852, 8853, 8853, 8853, 8856, 8858, 8860, 8861, 8862, 8863, 8864, 8867, 8870, 8870, 8871, 8874, 8875, 8878, 8879, 8882, 8887, 8887, 8891, 8892, 8896, 8896, 8898, 8904, 8908, 8914, 8921, 8925, 8926, 8928, 8931, 8933, 8933, 8942, 8945, 8950, 8950, 8950, 8959, 8972, 8972, 8975, 8976, 8983, 8984, 8985, 8986, 8989, 8989, 8990, 8990, 8991, 8991, 8993, 8994, 8995, 8998, 8998, 9000, 9003, 9008, 9009, 9013, 9014, 9019, 9023, 9023, 9024, 9025, 9028, 9028, 9028, 9031, 9031, 9033, 9038, 9040, 9043, 9044, 9045, 9045, 9046, 9047, 9050, 9051, 9052, 9052, 9057, 9058, 9061, 9062, 9071, 9074, 9078, 9081, 9082, 9084, 9086, 9088, 9089, 9090, 9094, 9096, 9096, 9102, 9105, 9105, 9107, 9110, 9113, 9118, 9119, 9119, 9121, 9122, 9123, 9125, 9125, 9127, 9128, 9128, 9133, 9137, 9139, 9140, 9148, 9150, 9153, 9154, 9156, 9158, 9160, 9162, 9163, 9163, 9164, 9165, 9168, 9169, 9171, 9171, 9172, 9177, 9179, 9179, 9182, 9184, 9188, 9192, 9195, 9201, 9204, 9204, 9212, 9214, 9214, 9220, 9221, 9221, 9224, 9228, 9230, 9230, 9230, 9232, 9232, 9233, 9233, 9234, 9235, 9236, 9239, 9240, 9241, 9246, 9248, 9249, 9250, 9252, 9253, 9255, 9256, 9257, 9259, 9262, 9264, 9267, 9269, 9269, 9270, 9272, 9272, 9272, 9276, 9277, 9277, 9278, 9283, 9283, 9285, 9287, 9288, 9288, 9289, 9292, 9293, 9293, 9296, 9298, 9299, 9301, 9302, 9303, 9304, 9305, 9309, 9310, 9313, 9317, 9320, 9320, 9322, 9323, 9327, 9331, 9331, 9333, 9333, 9334, 9343, 9343, 9344, 9345, 9346, 9347, 9354, 9355, 9356, 9357, 9358, 9359, 9360, 9361, 9374, 9378, 9378, 9379, 9380, 9380, 9384, 9384, 9385, 9388, 9389, 9390, 9392, 9397, 9398, 9398, 9399, 9403, 9404, 9405, 9405, 9406, 9406, 9406, 9409, 9410, 9410, 9412, 9413, 9416, 9416, 9417, 9417, 9418, 9421, 9424, 9424, 9426, 9426, 9427, 9428, 9429, 9429, 9433, 9435, 9437, 9441, 9443, 9444, 9455, 9455, 9456, 9458, 9460, 9460, 9464, 9464, 9465, 9468, 9471, 9471, 9474, 9477, 9477, 9478, 9480, 9480, 9484, 9486, 9487, 9493, 9493, 9494, 9495, 9495, 9501, 9504, 9504, 9505, 9505, 9506, 9509, 9512, 9515, 9518, 9519, 9520, 9527, 9528, 9529, 9537, 9546, 9547, 9547, 9547, 9554, 9557, 9559, 9562, 9562, 9563, 9564, 9567, 9568, 9569, 9574, 9576, 9577, 9579, 9580, 9587, 9588, 9589, 9591, 9594, 9596, 9600, 9603, 9604, 9608, 9608, 9611, 9613, 9615, 9615, 9616, 9618, 9619, 9620, 9621, 9625, 9625, 9625, 9628, 9631, 9632, 9632, 9634, 9634, 9635, 9637, 9638, 9639, 9641, 9642, 9644, 9658, 9660, 9662, 9662, 9667, 9668, 9668, 9671, 9671, 9673, 9675, 9676, 9678, 9679, 9681, 9682, 9683, 9685, 9688, 9695, 9698, 9700, 9702, 9704, 9704, 9704, 9706, 9714, 9716, 9716, 9717, 9718, 9719, 9721, 9722, 9722, 9723, 9727, 9732, 9733, 9733, 9737, 9739, 9743, 9747, 9748, 9751, 9752, 9754, 9756, 9761, 9762, 9764, 9766, 9766, 9766, 9768, 9768, 9769, 9769, 9771, 9774, 9775, 9779, 9786, 9787, 9788, 9789, 9790, 9791, 9792, 9793, 9794, 9797, 9799, 9799, 9800, 9806, 9807, 9809, 9814, 9818, 9825, 9826, 9827, 9829, 9830, 9836, 9838, 9848, 9851, 9851, 9853, 9855, 9861, 9865, 9866, 9867, 9872, 9872, 9874, 9876, 9878, 9878, 9880, 9881, 9882, 9887, 9887, 9888, 9891, 9893, 9894, 9894, 9895, 9896, 9901, 9902, 9906, 9909, 9909, 9911, 9911, 9914, 9915, 9918, 9928, 9932, 9936, 9937, 9943, 9944, 9945, 9945, 9945, 9945, 9947, 9951, 9953, 9958, 9961, 9961, 9966, 9968, 9973, 9974, 9975, 9976, 9977, 9978, 9978, 9978, 9979, 9983, 9984, 9987, 9988, 9989, 9990, 9990, 9991, 9991, 9992, 9995, 9995, 9995, 9997, 9998]

// Heap Sort
import java.util.Arrays;

public class HeapSort {
    public static void main(String[] args) {
        int[] arr = new int[5000];
        // Fill the array with random integers
        for (int i = 0; i < arr.length; i++) {
            arr[i] = (int) (Math.random() * 10000);
        }
        
        System.out.println("Before sorting: " + Arrays.toString(arr));
        
        // Sort the array using Heap Sort
        heapSort(arr);
        
        System.out.println("After sorting: " + Arrays.toString(arr));
    }
    
    public static void heapSort(int[] arr) {
        // Build the heap (rearrange array)
        for (int i = arr.length / 2 - 1; i >= 0; i--) {
            heapify(arr, arr.length, i);
        }
        
        // One by one extract an element from heap
        for (int i = arr.length - 1; i >= 0; i--) {
            // Move current root to end
            int temp = arr[0];
            arr[0] = arr[i];
            arr[i] = temp;
            
            // call max heapify on the reduced heap
            heapify(arr, i, 0);
        }
    }
    
    public static void heapify(int[] arr, int n, int i) {
        int largest = i; // Initialize largest as root
        int l = 2 * i + 1; // left = 2*i + 1
        int r = 2 * i + 2; // right = 2*i + 2
        
        // If left child is larger than root
        if (l < n && arr[l] > arr[largest]) {
            largest = l;
        }
        
        // If right child is larger than largest so far
        if (r < n && arr[r] > arr[largest]) {
            largest = r;
        }
        
        // If largest is not root
        if (largest != i) {
            int swap = arr[i];
            arr[i] = arr[largest];
            arr[largest] = swap;
            
            // Recursively heapify the affected sub-tree
            heapify(arr, n, largest);
        }
    }
}
HeapSort.main(null);

Before sorting: [7176, 5984, 8798, 1654, 4649, 6263, 8150, 1273, 9163, 4657, 3299, 2228, 6097, 5293, 184, 6446, 8384, 1571, 9013, 9664, 4490, 3496, 4309, 365, 4606, 9150, 101, 4771, 9146, 5245, 7990, 7320, 7885, 753, 5225, 6451, 5110, 1860, 7088, 6251, 5995, 6150, 2942, 5509, 2102, 8829, 8070, 7117, 9358, 4074, 4109, 2337, 185, 110, 9299, 6478, 2536, 7517, 6049, 4773, 2503, 6451, 7376, 9824, 3927, 9921, 5683, 4921, 7940, 7131, 7001, 705, 7736, 2946, 1372, 6219, 9059, 7039, 5341, 9189, 4830, 8965, 5676, 4548, 3161, 3504, 4377, 4687, 1594, 3957, 3784, 9662, 6822, 9788, 7206, 700, 8368, 8959, 4808, 5746, 6761, 4666, 6774, 1495, 1576, 743, 5697, 2371, 2387, 9992, 8021, 3290, 6155, 4882, 9981, 9646, 7874, 678, 6909, 4954, 7373, 6867, 6080, 3856, 4131, 3992, 2308, 5771, 3647, 9441, 2393, 2373, 3490, 7593, 9232, 318, 4459, 6812, 8908, 9124, 2499, 8216, 4379, 2982, 9967, 8915, 7554, 4418, 635, 5423, 7465, 7161, 1428, 1379, 6011, 5408, 5321, 7327, 4330, 6686, 4013, 9364, 2227, 5985, 6079, 7713, 289, 9504, 6130, 5944, 9343, 7386, 3173, 6465, 4696, 6168, 1860, 8177, 3276, 3315, 8599, 7710, 214, 8158, 5587, 6557, 7667, 5859, 9772, 2598, 2761, 3584, 450, 5978, 3432, 986, 8761, 6136, 597, 306, 4701, 8901, 2647, 4921, 2418, 9972, 3548, 9014, 2570, 3880, 8971, 5186, 1263, 5568, 5830, 1298, 8755, 5097, 9363, 2593, 7468, 4659, 8456, 260, 8117, 1097, 4303, 2974, 4796, 6412, 9697, 3688, 4699, 3362, 6235, 9947, 5848, 3213, 4577, 2360, 6658, 7901, 8486, 2502, 4460, 9479, 6885, 8482, 6224, 5521, 9359, 3692, 3615, 421, 9663, 1832, 6272, 8933, 8641, 9225, 1711, 169, 2669, 3622, 7629, 7368, 6259, 7245, 2544, 1164, 7769, 642, 3689, 1863, 5289, 3085, 6850, 9251, 5754, 4697, 1475, 6877, 4062, 5284, 5765, 1367, 549, 4905, 709, 6408, 4597, 1666, 9049, 5247, 9285, 2874, 5028, 5270, 7067, 6759, 3431, 3065, 9227, 3304, 1918, 8696, 2546, 4338, 8918, 3415, 5018, 5060, 490, 5932, 8749, 1403, 3431, 8557, 2223, 241, 8686, 5983, 6004, 2359, 8610, 6334, 5656, 1294, 4022, 6179, 3165, 4699, 2141, 8674, 3449, 8713, 4465, 6721, 5718, 9973, 4465, 1098, 356, 4356, 8554, 6876, 776, 6339, 208, 139, 6264, 7919, 6359, 979, 6219, 1473, 7195, 8097, 8384, 6613, 5383, 4911, 3685, 7147, 8385, 7032, 8100, 581, 8003, 6215, 7643, 9241, 4603, 6416, 5954, 9083, 9564, 3514, 5288, 9492, 8391, 1360, 745, 5007, 8712, 3397, 4461, 7769, 1851, 821, 1213, 7730, 4084, 5433, 9342, 6161, 3823, 7720, 1292, 6872, 3936, 8482, 6129, 8656, 4252, 5357, 2401, 1987, 7834, 3962, 3438, 2726, 6095, 7074, 8757, 5724, 1991, 4241, 4646, 1576, 7616, 8541, 4175, 501, 2359, 6814, 1901, 8374, 429, 4617, 1354, 1226, 2084, 7433, 4035, 6229, 1129, 5163, 7090, 9110, 2406, 7851, 3094, 222, 6873, 6753, 9438, 4110, 8631, 6342, 6726, 267, 7764, 9678, 5250, 6037, 5256, 1667, 6139, 6103, 1367, 2165, 9111, 6872, 6858, 3650, 1865, 8193, 7245, 6216, 7119, 9325, 3849, 6018, 2055, 832, 1839, 1997, 1495, 9185, 4694, 9679, 528, 6242, 6543, 174, 4504, 1486, 8695, 7103, 4306, 948, 4352, 4125, 2661, 3043, 5950, 965, 2855, 8232, 2903, 6426, 4691, 6382, 3574, 2706, 3765, 2932, 4279, 6542, 9232, 2624, 9795, 9201, 2092, 7402, 4427, 9125, 751, 3332, 27, 8173, 3091, 9900, 7525, 4836, 4644, 3892, 1510, 5525, 557, 9211, 3182, 8111, 5013, 3445, 5634, 260, 5522, 1776, 6781, 8773, 1073, 8915, 9538, 5152, 2507, 132, 5855, 6918, 694, 3181, 1085, 3816, 3081, 3940, 7822, 2979, 2024, 9913, 3826, 7371, 8932, 7404, 6942, 7385, 6699, 135, 1035, 6327, 9194, 9350, 845, 6729, 589, 8032, 444, 5886, 9250, 4776, 9479, 5865, 582, 6053, 3749, 5309, 728, 9145, 1839, 7832, 8362, 1848, 7510, 4508, 4932, 9219, 8312, 6040, 4670, 2070, 4540, 3550, 4432, 6722, 9006, 5618, 23, 594, 7385, 3200, 25, 3617, 904, 3336, 357, 1176, 7993, 7210, 2809, 291, 9205, 8032, 8588, 7112, 177, 9476, 3596, 434, 685, 5936, 5553, 2909, 3977, 1765, 4381, 8902, 9453, 7822, 6315, 5536, 3515, 147, 9097, 1356, 7935, 7398, 306, 5273, 2449, 809, 3390, 6957, 8449, 2836, 6283, 8702, 3627, 8422, 5630, 7917, 3213, 5878, 5581, 8887, 2044, 2703, 3893, 2190, 3148, 5412, 9628, 275, 2700, 1361, 6136, 8090, 8319, 4944, 209, 8355, 7460, 76, 3289, 2128, 5370, 5878, 3449, 6618, 7528, 2676, 7498, 3862, 9801, 1007, 995, 5863, 620, 7182, 243, 4031, 3445, 5150, 4373, 3373, 4454, 5884, 7550, 4788, 9992, 2334, 993, 2011, 639, 103, 2038, 3299, 3906, 1431, 2787, 1777, 5595, 2818, 4011, 2512, 600, 4683, 944, 8857, 7566, 4807, 6336, 5370, 8210, 6009, 2734, 9704, 1365, 2480, 324, 1274, 3822, 8523, 8879, 201, 4924, 8056, 2348, 6078, 9506, 3165, 2471, 2429, 4274, 5254, 3415, 9390, 6005, 2869, 2885, 4090, 6034, 6166, 6427, 5503, 4438, 9174, 694, 8122, 9031, 7465, 8360, 6705, 8850, 703, 2035, 2546, 9134, 6620, 7069, 287, 4991, 5410, 3425, 3072, 3922, 1289, 4974, 3028, 3144, 1016, 484, 3528, 6276, 7529, 4329, 9433, 5373, 555, 6561, 1626, 8490, 5022, 1310, 2543, 40, 2432, 9724, 117, 1027, 9949, 8654, 8574, 8933, 6910, 9096, 5870, 2491, 8694, 9067, 9193, 4873, 3449, 4014, 1923, 9945, 8044, 4127, 7723, 129, 5799, 1993, 24, 1152, 32, 5921, 8044, 8517, 4271, 3957, 3729, 2856, 2108, 1124, 7504, 6519, 7088, 7733, 4569, 1707, 5784, 9765, 7620, 1275, 5249, 3260, 6350, 6909, 9432, 3391, 8848, 5807, 7795, 5521, 5102, 6229, 3387, 9866, 8226, 4317, 6919, 3641, 4730, 9428, 8026, 4528, 1174, 2918, 4806, 7158, 911, 5751, 7988, 9929, 1235, 3648, 6642, 2915, 8254, 4551, 8190, 8890, 4048, 2115, 6689, 8578, 8287, 670, 9819, 8087, 4357, 1626, 6848, 1231, 8294, 8657, 6941, 1906, 7311, 9156, 9618, 2045, 3551, 2446, 6920, 8791, 7886, 1004, 9879, 482, 7984, 9580, 284, 4803, 4687, 8487, 2389, 4022, 816, 1588, 8218, 1629, 6925, 6527, 4436, 1878, 9211, 4620, 8345, 8755, 5873, 480, 5540, 3694, 9474, 6932, 1954, 2044, 4575, 9058, 8625, 6677, 1842, 2334, 8346, 3434, 2098, 3702, 9577, 7163, 6402, 1198, 4460, 8980, 1122, 7245, 4604, 5085, 176, 3120, 436, 4987, 160, 7231, 7299, 2305, 7910, 7852, 4293, 4431, 4180, 1729, 9839, 8322, 1617, 3591, 1373, 8421, 9944, 8004, 5221, 9288, 6397, 4241, 6720, 9911, 4823, 6888, 9950, 8849, 2582, 9736, 1060, 9398, 410, 8210, 9103, 1758, 6750, 6032, 3546, 4833, 4689, 5126, 8166, 3755, 6629, 3872, 6925, 455, 9067, 7719, 8580, 3685, 7458, 7923, 3304, 1807, 9060, 8693, 6382, 6319, 9813, 383, 1163, 6626, 9909, 6549, 5891, 6880, 1462, 5662, 6793, 3852, 923, 4050, 2814, 724, 8272, 5249, 5819, 5487, 4843, 2376, 3716, 4169, 1719, 4341, 2965, 8514, 1003, 3771, 1256, 4943, 3032, 4366, 734, 6614, 3587, 8079, 7102, 3231, 6508, 7982, 166, 3908, 8772, 983, 6943, 6788, 7050, 5652, 9330, 5446, 7038, 4326, 4506, 6109, 9450, 5417, 7728, 1669, 9440, 1349, 4008, 8119, 9471, 9942, 7257, 6576, 9130, 2201, 2928, 9371, 9260, 7454, 2914, 1818, 1917, 7583, 9548, 2220, 2123, 5675, 8886, 1446, 2156, 862, 2149, 9951, 4225, 331, 8211, 4542, 2754, 1515, 9289, 9342, 3227, 2369, 6654, 5458, 577, 5253, 3075, 1639, 6412, 457, 3979, 3888, 1061, 8680, 9847, 5405, 3345, 7882, 8265, 9503, 8297, 8835, 5176, 7245, 592, 5449, 1447, 8373, 9400, 463, 2602, 8862, 8547, 4469, 6734, 901, 4426, 6379, 8027, 1426, 2903, 6455, 1067, 3503, 5657, 8769, 4162, 740, 5807, 8617, 8293, 8750, 2509, 1777, 1960, 9171, 4233, 6759, 1209, 1211, 886, 8238, 8436, 2828, 5624, 9682, 3140, 8703, 8239, 5903, 2801, 4956, 3328, 1689, 2222, 1208, 8137, 1003, 5305, 9039, 6875, 2305, 4044, 2144, 641, 9515, 5726, 7562, 4634, 4800, 830, 9249, 7252, 8976, 898, 4939, 8886, 7623, 7798, 4786, 1741, 6190, 3207, 5555, 5855, 5355, 9895, 7305, 642, 8688, 4463, 427, 5735, 8265, 4531, 9682, 9698, 297, 2062, 8432, 249, 2092, 8522, 664, 5045, 3653, 6851, 597, 7785, 2138, 9862, 9651, 429, 5021, 4612, 8429, 8641, 8282, 7519, 6933, 4248, 9280, 5584, 9745, 5431, 9, 4910, 4115, 2694, 5407, 8928, 7997, 6169, 3072, 5207, 1957, 7800, 5324, 1547, 3556, 91, 1863, 9160, 5350, 1671, 1461, 3194, 7939, 8750, 4121, 8582, 7659, 693, 874, 2259, 4447, 7407, 7059, 1171, 9158, 6003, 6282, 9162, 1208, 4282, 6522, 4830, 6785, 9019, 6875, 6763, 5073, 7684, 3275, 2146, 4942, 3314, 4229, 9708, 7377, 3565, 3019, 8195, 9568, 6611, 1201, 7109, 5004, 8548, 9242, 7342, 206, 9216, 4136, 5496, 2768, 5948, 504, 7189, 7304, 7650, 1256, 1436, 5558, 4839, 6258, 343, 4460, 4782, 2562, 5739, 1243, 4708, 7808, 7168, 7846, 257, 9122, 3668, 7803, 721, 3506, 5178, 7545, 7495, 2078, 8063, 664, 7155, 9786, 3249, 8006, 6060, 4237, 4795, 8722, 9025, 2149, 1293, 7371, 683, 9593, 2469, 16, 4455, 2680, 8582, 7875, 734, 8623, 771, 544, 2817, 3221, 6369, 2065, 6422, 9727, 4404, 2189, 6193, 5781, 2973, 2055, 521, 9644, 1999, 8232, 4191, 4303, 2002, 1540, 6915, 8211, 1929, 7432, 4650, 4374, 6860, 2811, 9726, 5307, 9434, 145, 5290, 9989, 7225, 3473, 9356, 336, 1984, 2466, 3816, 8973, 5638, 126, 4186, 7105, 2270, 6858, 6555, 1145, 4888, 8696, 9262, 9437, 765, 261, 8123, 5852, 9340, 3681, 5722, 5389, 2244, 3143, 7198, 7950, 5884, 1007, 7286, 411, 3195, 5479, 5909, 3851, 2661, 1743, 2564, 2295, 9528, 8125, 2902, 1730, 6230, 6389, 4505, 3288, 6496, 580, 2606, 2487, 346, 1967, 748, 7192, 5238, 8589, 5749, 584, 2002, 6647, 1184, 1825, 2870, 7592, 8655, 6340, 2917, 9117, 1502, 9682, 5527, 463, 1370, 3794, 7114, 2456, 4021, 2151, 6273, 547, 7147, 740, 7763, 4695, 9593, 5137, 2294, 3453, 8333, 26, 8955, 828, 6860, 6444, 8293, 3578, 6197, 3733, 567, 3485, 7664, 7767, 5487, 3855, 4741, 4319, 6878, 1986, 9890, 6649, 8137, 9682, 1030, 9344, 2105, 2019, 1538, 6241, 2011, 521, 7072, 8866, 8533, 657, 2313, 3239, 1706, 5145, 810, 7122, 5376, 3944, 1507, 6831, 6233, 8993, 6235, 2582, 9062, 6779, 3494, 4010, 4784, 4636, 5185, 2983, 8094, 7315, 4588, 9110, 7095, 8801, 5856, 4458, 8138, 619, 7585, 7914, 5320, 1958, 5563, 6332, 5534, 8794, 2762, 9178, 6824, 8923, 7796, 5714, 9857, 7310, 6625, 8938, 9818, 1470, 6111, 8479, 8724, 9765, 2193, 5433, 6245, 6416, 9885, 5727, 484, 5796, 7117, 5015, 8826, 5167, 9486, 7347, 2985, 9370, 8411, 1880, 1694, 3198, 890, 6760, 9048, 7195, 5085, 6980, 6519, 430, 2287, 3465, 1838, 9446, 2484, 3976, 8537, 6009, 7709, 2475, 5790, 7575, 4601, 2558, 9402, 3434, 5236, 2250, 1243, 6388, 3164, 2019, 6283, 4527, 9790, 5232, 3463, 148, 4793, 398, 9094, 3223, 3088, 7577, 9203, 4918, 0, 7074, 307, 2645, 5773, 7186, 6480, 1867, 331, 9143, 4228, 1452, 9263, 1646, 5716, 8774, 2442, 4436, 5171, 7926, 7369, 165, 2920, 9450, 385, 6536, 6443, 2788, 207, 6126, 8075, 3310, 9911, 9632, 4541, 4206, 5453, 9338, 4380, 9812, 1062, 3573, 5488, 978, 4477, 9600, 6528, 5008, 7851, 1968, 2717, 2371, 3392, 5677, 8677, 9908, 6320, 8688, 8416, 5579, 1561, 6288, 5277, 2910, 4754, 610, 2753, 4295, 2599, 2203, 413, 999, 2358, 6977, 7887, 4354, 5412, 1066, 3843, 6959, 5164, 8200, 6189, 4942, 5307, 9023, 4375, 2320, 482, 9469, 4573, 6333, 7717, 5777, 3769, 8255, 3657, 7024, 9374, 7635, 9578, 2158, 6801, 9175, 3448, 7426, 8658, 533, 5892, 1819, 5685, 6226, 4797, 2702, 1401, 7482, 1533, 1153, 9488, 435, 284, 6687, 5445, 5349, 802, 4035, 1721, 7713, 4068, 436, 8636, 7972, 9811, 489, 1758, 458, 4582, 7053, 68, 3605, 9202, 886, 8264, 2970, 4787, 8778, 850, 5738, 7255, 9768, 5270, 419, 1273, 1705, 6293, 8266, 5920, 5909, 4084, 3576, 5985, 5953, 3956, 8473, 4819, 7701, 6688, 4053, 6878, 1670, 4436, 3822, 746, 5478, 8792, 7259, 6275, 3708, 4345, 1020, 2712, 4876, 3200, 2816, 8231, 316, 3368, 8331, 5069, 7834, 6664, 4644, 8684, 3715, 9822, 4624, 3759, 321, 5884, 5460, 4683, 2894, 1634, 1124, 3220, 8423, 810, 2901, 1478, 1493, 2147, 4345, 3992, 6851, 5932, 7014, 8780, 6111, 2668, 1181, 3558, 6511, 2695, 1318, 9947, 2893, 6176, 9636, 5469, 207, 8723, 2191, 420, 2755, 9105, 1163, 4274, 8095, 2011, 3784, 4175, 8098, 603, 3090, 6317, 6986, 743, 8202, 9485, 6346, 1203, 2116, 8921, 97, 1906, 3183, 7789, 8183, 5302, 2343, 3005, 6354, 4365, 1983, 1947, 828, 4364, 3831, 6678, 850, 4558, 2711, 2678, 9197, 277, 145, 9839, 554, 5476, 6839, 4458, 312, 752, 5875, 2332, 1877, 2101, 9097, 4691, 8799, 1206, 7600, 687, 9199, 8951, 3505, 2407, 3841, 17, 4282, 991, 5951, 7909, 2744, 5314, 419, 6590, 5558, 7929, 2360, 6991, 613, 6462, 207, 4121, 8910, 2524, 6452, 3225, 9782, 4323, 9968, 1504, 9186, 3635, 7432, 5298, 9579, 2582, 7800, 1263, 6459, 725, 3007, 4141, 1035, 8407, 86, 2950, 688, 7968, 4801, 2111, 8905, 512, 4501, 3906, 4161, 2206, 8421, 3938, 2906, 778, 6924, 1808, 5204, 9814, 7296, 5095, 2888, 5747, 2608, 5908, 9122, 12, 1898, 5768, 5168, 6750, 4466, 6392, 4858, 4640, 8424, 1071, 9753, 9981, 3808, 3751, 8337, 6972, 3555, 690, 678, 296, 1400, 2606, 5982, 4574, 4401, 3607, 4190, 5024, 9182, 6874, 4368, 3766, 5213, 6065, 1997, 6586, 5510, 5706, 4499, 5719, 4975, 3460, 9314, 5204, 9254, 2107, 1682, 6725, 2489, 9290, 9930, 5495, 626, 8652, 4471, 7687, 8026, 6864, 3030, 3236, 9074, 7207, 8660, 356, 3174, 1894, 8980, 1090, 1098, 2078, 4808, 364, 2966, 6674, 3825, 4579, 3345, 8495, 260, 9591, 6896, 8979, 4709, 2098, 8820, 848, 9148, 2896, 7925, 1363, 955, 5258, 6587, 7591, 6353, 6766, 1077, 9019, 8022, 8342, 7786, 2223, 3892, 9908, 5724, 6863, 4069, 8172, 3339, 2261, 721, 8329, 8173, 9003, 1361, 8163, 1186, 627, 9414, 9947, 3638, 6266, 7226, 2872, 3400, 6352, 5716, 6265, 9214, 9936, 1810, 1809, 6045, 4016, 9423, 1150, 1951, 2373, 2338, 3820, 7113, 3840, 7586, 9257, 8620, 7685, 6121, 5811, 400, 6843, 3499, 9138, 6293, 8094, 7028, 2122, 5681, 1973, 7462, 8569, 5314, 4187, 2650, 3323, 8011, 4633, 7785, 2143, 8778, 9699, 1892, 5736, 1532, 8515, 3014, 3659, 5122, 3997, 5204, 5454, 5616, 5151, 8854, 8354, 2916, 7926, 2188, 3165, 3710, 8099, 5768, 2512, 9465, 1192, 3808, 8559, 7725, 1180, 5726, 491, 7327, 1930, 8926, 5611, 3320, 2674, 9084, 1707, 5333, 1631, 7385, 2524, 3949, 9894, 5062, 2612, 3235, 1095, 4384, 2626, 3997, 1053, 1806, 1207, 1555, 5562, 3346, 5013, 3876, 3833, 4510, 4135, 760, 9693, 7030, 6218, 2427, 2572, 2566, 8875, 6354, 5576, 9096, 6701, 4476, 8486, 9228, 6099, 8989, 9390, 861, 8451, 3900, 9839, 9762, 9717, 1196, 4926, 459, 2481, 5052, 1468, 6561, 4644, 4843, 4609, 4155, 7513, 7900, 5592, 2196, 4853, 5918, 1184, 2007, 3643, 4728, 8301, 3888, 6717, 5733, 5745, 2639, 7261, 8745, 8656, 5370, 5215, 160, 255, 4315, 6038, 7476, 9799, 4624, 3010, 999, 5230, 2071, 5245, 6251, 4001, 8457, 4966, 6070, 5746, 3117, 9212, 9682, 6051, 7403, 3119, 7145, 1445, 5233, 4205, 1447, 1906, 6928, 9655, 7310, 8680, 5391, 1517, 5254, 2011, 3405, 7934, 1862, 5493, 8338, 2052, 2325, 1214, 5847, 4090, 9347, 2565, 7342, 6205, 3261, 9678, 6864, 4253, 1834, 5816, 1858, 5314, 4627, 1705, 8829, 4939, 6031, 8815, 9313, 3486, 3121, 1895, 3728, 6622, 9341, 5666, 758, 1070, 2673, 551, 7661, 3064, 7464, 7524, 2600, 3580, 2322, 2733, 3490, 1404, 2644, 8427, 9148, 2354, 5230, 7891, 7587, 576, 4160, 8583, 3190, 5728, 1682, 9485, 9181, 8072, 5168, 5792, 4347, 2034, 1416, 6496, 3261, 7612, 2492, 8163, 7404, 8189, 3152, 1263, 528, 2732, 8464, 3786, 5366, 178, 1647, 538, 359, 3854, 6423, 5533, 4459, 4216, 5155, 9189, 5271, 8868, 3963, 1642, 796, 9881, 8619, 8461, 7856, 9755, 539, 5248, 945, 9000, 465, 3197, 3655, 315, 8530, 8535, 1118, 6584, 3334, 4958, 5971, 2507, 9359, 9668, 2214, 2598, 1621, 428, 1071, 1466, 8785, 3158, 428, 5856, 1158, 7041, 4772, 1727, 7938, 6846, 5682, 3831, 8891, 230, 3877, 9691, 9236, 1153, 2566, 4665, 2927, 9219, 8446, 9875, 8759, 8760, 1050, 169, 5762, 765, 3370, 4994, 9188, 5399, 6670, 1113, 6086, 2776, 233, 2393, 9919, 4895, 2431, 8577, 6977, 2206, 2931, 1895, 3441, 4145, 7139, 7661, 867, 4150, 3027, 2576, 9592, 6181, 7400, 2353, 4108, 1547, 3327, 8533, 1783, 1994, 3009, 2820, 6509, 7412, 635, 6164, 1798, 4277, 7950, 8935, 3673, 4005, 1183, 8004, 2270, 8746, 1747, 6319, 2515, 5852, 4704, 667, 8441, 1217, 8371, 3682, 2781, 6033, 5617, 6915, 3291, 1085, 2456, 2761, 9949, 7658, 2316, 4411, 2656, 4391, 5031, 4639, 7332, 4926, 8032, 6177, 9427, 2118, 3496, 8739, 7772, 707, 9238, 314, 8430, 1895, 3083, 3272, 7739, 34, 85, 9012, 6098, 3773, 9514, 8442, 9217, 1447, 3841, 9386, 1522, 3223, 5081, 6183, 7204, 574, 4806, 1196, 7997, 7041, 2897, 2731, 3200, 2890, 6686, 8958, 6662, 307, 6508, 2803, 7520, 5045, 5894, 8524, 6316, 5070, 4632, 6692, 5779, 6697, 768, 634, 6051, 3921, 3220, 4054, 7425, 7243, 166, 6505, 9757, 4117, 9583, 670, 6640, 4375, 7428, 2977, 4142, 425, 5806, 6997, 8485, 3879, 8177, 7276, 4337, 7343, 1178, 9769, 5629, 2568, 2929, 3910, 3711, 3867, 5859, 454, 3518, 8799, 8003, 8753, 6979, 6466, 518, 6846, 4327, 7451, 693, 7855, 8218, 8432, 9163, 6598, 2564, 8804, 7186, 1003, 7890, 6262, 4892, 3961, 7654, 3226, 4205, 2593, 5460, 6247, 793, 3536, 1382, 6071, 7843, 4838, 6736, 6919, 712, 7321, 519, 9722, 5580, 849, 7506, 5536, 7130, 3849, 7500, 2177, 9943, 7645, 7596, 9246, 5857, 690, 4506, 4096, 4797, 1608, 1930, 4124, 9788, 4128, 8790, 8728, 7743, 1439, 7714, 7722, 6435, 2280, 9605, 1629, 4590, 6153, 9325, 3299, 6460, 470, 9593, 9580, 4392, 8138, 5030, 6412, 2957, 118, 5970, 631, 6010, 3835, 2110, 7014, 3671, 4962, 9378, 9670, 9694, 7068, 9512, 2725, 926, 886, 732, 6447, 9646, 2564, 9626, 1456, 6449, 8138, 8941, 5450, 6045, 9700, 3270, 4024, 841, 7246, 4833, 9562, 7517, 9029, 4521, 9952, 9913, 2406, 9144, 1910, 7520, 6603, 4456, 2089, 2611, 8632, 4920, 2806, 620, 3648, 5425, 8237, 7768, 1464, 7190, 1219, 7138, 1630, 9960, 435, 9388, 523, 5255, 2666, 7145, 5236, 908, 5068, 2720, 685, 5441, 7957, 7279, 8331, 1896, 9474, 5812, 7195, 4684, 9694, 6359, 409, 9737, 3192, 3804, 3476, 7774, 5948, 8277, 3592, 2865, 4538, 5668, 2945, 3634, 3020, 3144, 2708, 2413, 5661, 5623, 8619, 8471, 1704, 164, 3494, 5022, 1743, 3961, 6792, 6151, 3967, 8210, 6451, 9003, 2509, 4501, 3589, 8658, 9459, 2590, 6409, 7924, 6714, 8403, 5661, 1979, 3764, 8964, 317, 8259, 2767, 6560, 8843, 5275, 2813, 7901, 8320, 166, 1156, 5313, 1031, 3679, 364, 6046, 5646, 3025, 6841, 2693, 8091, 7587, 7973, 2379, 5356, 9812, 2277, 4933, 4074, 3780, 9360, 531, 4476, 6935, 4233, 5469, 9540, 6236, 3596, 653, 8574, 8609, 67, 1158, 4262, 6979, 4010, 6791, 2300, 7397, 1623, 2942, 3119, 9827, 2240, 8267, 5947, 4994, 7421, 679, 6450, 2372, 9351, 6023, 551, 9873, 6291, 4376, 8672, 4064, 8404, 7417, 6593, 888, 8123, 6539, 1438, 731, 5429, 5443, 3818, 8436, 9900, 2882, 137, 8408, 8181, 851, 2227, 7280, 7670, 1104, 5013, 1809, 4620, 8142, 6778, 7632, 7627, 9977, 700, 5295, 5509, 8928, 831, 3602, 1961, 3455, 460, 6703, 8056, 8605, 5870, 614, 7645, 7048, 3916, 6872, 17, 4851, 7565, 5886, 8823, 6177, 9557, 231, 6154, 8895, 680, 8580, 5957, 8734, 5821, 4286, 1488, 3055, 7894, 8720, 7403, 6583, 7038, 8373, 8243, 504, 61, 6489, 1582, 3222, 3010, 4512, 5905, 5762, 7945, 5986, 401, 7334, 3543, 5732, 6299, 6864, 7981, 74, 7095, 4456, 1694, 9706, 8112, 2704, 7089, 5388, 4158, 1487, 2038, 8047, 7770, 1521, 4090, 9137, 9512, 1265, 2737, 4120, 6073, 9003, 7754, 1772, 1596, 6945, 2708, 4733, 2520, 6983, 4024, 2142, 6531, 8393, 7666, 3532, 1728, 6219, 7458, 4233, 3013, 5331, 1340, 6476, 8856, 9215, 4423, 7086, 3127, 4458, 656, 2232, 3457, 1566, 8076, 2010, 9718, 271, 6164, 2848, 3667, 2815, 7687, 3668, 3495, 1816, 1501, 2541, 5142, 282, 7324, 4172, 5535, 92, 8190, 4978, 1665, 1846, 1452, 1744, 3343, 3340, 4547, 1868, 6831, 6171, 7481, 8093, 1141, 9934, 4, 8252, 8725, 1328, 7796, 1068, 7540, 1114, 8614, 2309, 2007, 5310, 6327, 1716, 6268, 8275, 8054, 56, 4322, 4405, 7169, 7331, 8114, 2044, 2888, 7780, 6448, 7912, 5317, 4604, 4750, 2873, 3404, 7555, 8082, 166, 2047, 9476, 7603, 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6179, 6181, 6183, 6189, 6190, 6190, 6192, 6193, 6193, 6195, 6197, 6203, 6205, 6205, 6208, 6210, 6215, 6216, 6217, 6218, 6218, 6219, 6219, 6219, 6224, 6224, 6226, 6229, 6229, 6230, 6231, 6233, 6235, 6235, 6235, 6236, 6238, 6241, 6242, 6245, 6247, 6247, 6248, 6248, 6251, 6251, 6257, 6258, 6259, 6260, 6262, 6263, 6264, 6264, 6265, 6265, 6266, 6268, 6272, 6272, 6273, 6275, 6276, 6282, 6283, 6283, 6288, 6291, 6293, 6293, 6295, 6299, 6299, 6301, 6314, 6315, 6315, 6316, 6316, 6317, 6319, 6319, 6320, 6320, 6324, 6325, 6326, 6327, 6327, 6332, 6333, 6334, 6336, 6339, 6340, 6342, 6346, 6350, 6352, 6353, 6354, 6354, 6354, 6359, 6359, 6369, 6369, 6377, 6379, 6382, 6382, 6388, 6389, 6391, 6392, 6393, 6397, 6402, 6403, 6407, 6408, 6409, 6409, 6411, 6412, 6412, 6412, 6414, 6416, 6416, 6422, 6422, 6423, 6424, 6426, 6427, 6431, 6435, 6435, 6435, 6437, 6437, 6443, 6444, 6446, 6447, 6448, 6448, 6449, 6450, 6451, 6451, 6451, 6452, 6452, 6455, 6455, 6459, 6460, 6460, 6462, 6465, 6466, 6466, 6466, 6470, 6476, 6477, 6478, 6478, 6478, 6480, 6480, 6489, 6494, 6496, 6496, 6502, 6505, 6508, 6508, 6509, 6510, 6511, 6516, 6519, 6519, 6521, 6522, 6523, 6527, 6528, 6531, 6536, 6539, 6539, 6539, 6542, 6543, 6549, 6555, 6557, 6560, 6560, 6561, 6561, 6563, 6566, 6566, 6568, 6576, 6583, 6584, 6586, 6587, 6590, 6593, 6593, 6597, 6598, 6603, 6611, 6613, 6614, 6614, 6617, 6618, 6618, 6620, 6621, 6621, 6622, 6625, 6626, 6626, 6628, 6629, 6631, 6635, 6640, 6642, 6643, 6644, 6647, 6648, 6648, 6649, 6654, 6654, 6658, 6659, 6662, 6662, 6664, 6665, 6670, 6673, 6674, 6674, 6677, 6678, 6679, 6685, 6686, 6686, 6687, 6688, 6689, 6691, 6692, 6692, 6697, 6698, 6699, 6701, 6703, 6705, 6706, 6714, 6717, 6719, 6720, 6720, 6721, 6722, 6724, 6725, 6726, 6729, 6730, 6731, 6731, 6733, 6734, 6736, 6740, 6750, 6750, 6750, 6751, 6753, 6753, 6759, 6759, 6760, 6760, 6761, 6761, 6763, 6764, 6766, 6768, 6773, 6774, 6778, 6779, 6781, 6781, 6785, 6785, 6787, 6787, 6788, 6789, 6791, 6792, 6793, 6801, 6812, 6814, 6816, 6822, 6824, 6824, 6825, 6826, 6827, 6830, 6831, 6831, 6831, 6832, 6832, 6838, 6839, 6841, 6843, 6846, 6846, 6848, 6850, 6851, 6851, 6858, 6858, 6860, 6860, 6863, 6863, 6864, 6864, 6864, 6867, 6868, 6869, 6872, 6872, 6872, 6873, 6874, 6875, 6875, 6876, 6877, 6878, 6878, 6879, 6880, 6884, 6885, 6887, 6888, 6892, 6896, 6900, 6902, 6903, 6906, 6907, 6909, 6909, 6910, 6914, 6915, 6915, 6916, 6917, 6918, 6918, 6919, 6919, 6920, 6924, 6925, 6925, 6928, 6932, 6933, 6935, 6941, 6942, 6943, 6943, 6945, 6950, 6957, 6959, 6970, 6972, 6975, 6977, 6977, 6979, 6979, 6980, 6982, 6983, 6986, 6986, 6987, 6991, 6994, 6997, 6997, 6997, 6997, 7001, 7014, 7014, 7016, 7018, 7019, 7024, 7026, 7028, 7028, 7030, 7032, 7038, 7038, 7039, 7041, 7041, 7041, 7042, 7045, 7047, 7048, 7050, 7053, 7054, 7059, 7061, 7067, 7068, 7069, 7072, 7074, 7074, 7085, 7086, 7088, 7088, 7088, 7088, 7089, 7090, 7090, 7091, 7095, 7095, 7096, 7096, 7097, 7102, 7102, 7103, 7105, 7105, 7105, 7109, 7111, 7112, 7113, 7114, 7117, 7117, 7118, 7119, 7122, 7123, 7125, 7128, 7130, 7131, 7131, 7132, 7132, 7136, 7136, 7138, 7139, 7145, 7145, 7147, 7147, 7151, 7151, 7154, 7155, 7155, 7158, 7161, 7163, 7163, 7163, 7168, 7169, 7170, 7171, 7176, 7176, 7178, 7182, 7184, 7186, 7186, 7189, 7190, 7192, 7192, 7195, 7195, 7195, 7198, 7200, 7204, 7206, 7207, 7208, 7208, 7210, 7211, 7217, 7219, 7221, 7225, 7226, 7228, 7228, 7229, 7230, 7231, 7243, 7245, 7245, 7245, 7245, 7246, 7246, 7246, 7252, 7255, 7257, 7259, 7261, 7269, 7273, 7274, 7276, 7279, 7280, 7282, 7283, 7285, 7286, 7287, 7290, 7296, 7299, 7299, 7301, 7304, 7305, 7307, 7310, 7310, 7311, 7315, 7320, 7321, 7321, 7324, 7326, 7327, 7327, 7331, 7332, 7334, 7339, 7342, 7342, 7343, 7344, 7347, 7350, 7359, 7364, 7364, 7368, 7368, 7368, 7369, 7369, 7371, 7371, 7373, 7376, 7377, 7377, 7385, 7385, 7385, 7386, 7387, 7395, 7395, 7397, 7398, 7400, 7402, 7403, 7403, 7404, 7404, 7407, 7412, 7416, 7417, 7421, 7425, 7426, 7426, 7428, 7429, 7432, 7432, 7433, 7436, 7450, 7451, 7454, 7456, 7458, 7458, 7460, 7462, 7464, 7464, 7465, 7465, 7466, 7468, 7476, 7480, 7481, 7482, 7483, 7485, 7495, 7496, 7496, 7498, 7500, 7500, 7503, 7504, 7506, 7506, 7506, 7509, 7510, 7511, 7513, 7515, 7515, 7516, 7517, 7517, 7519, 7520, 7520, 7524, 7525, 7528, 7529, 7533, 7540, 7545, 7549, 7550, 7551, 7554, 7555, 7555, 7556, 7562, 7565, 7566, 7572, 7575, 7577, 7579, 7581, 7582, 7583, 7583, 7585, 7586, 7587, 7587, 7590, 7591, 7592, 7593, 7594, 7596, 7600, 7601, 7603, 7603, 7605, 7605, 7608, 7610, 7612, 7616, 7616, 7618, 7620, 7623, 7627, 7628, 7629, 7632, 7635, 7637, 7638, 7639, 7643, 7645, 7645, 7650, 7654, 7658, 7659, 7661, 7661, 7661, 7663, 7664, 7665, 7666, 7667, 7669, 7670, 7670, 7671, 7683, 7684, 7685, 7687, 7687, 7699, 7701, 7705, 7709, 7710, 7713, 7713, 7714, 7715, 7715, 7717, 7719, 7720, 7722, 7723, 7725, 7728, 7730, 7733, 7736, 7739, 7743, 7747, 7754, 7758, 7761, 7763, 7764, 7764, 7767, 7768, 7769, 7769, 7770, 7772, 7774, 7780, 7785, 7785, 7785, 7786, 7789, 7790, 7792, 7795, 7796, 7796, 7798, 7800, 7800, 7800, 7803, 7803, 7806, 7808, 7822, 7822, 7823, 7825, 7830, 7830, 7832, 7833, 7834, 7834, 7837, 7840, 7840, 7843, 7845, 7845, 7846, 7847, 7851, 7851, 7852, 7855, 7856, 7874, 7875, 7875, 7878, 7882, 7885, 7886, 7887, 7890, 7891, 7891, 7893, 7893, 7894, 7898, 7900, 7901, 7901, 7904, 7905, 7905, 7909, 7910, 7912, 7913, 7914, 7917, 7919, 7923, 7924, 7925, 7925, 7925, 7926, 7926, 7929, 7931, 7932, 7934, 7935, 7938, 7939, 7940, 7945, 7946, 7950, 7950, 7951, 7952, 7957, 7968, 7970, 7972, 7973, 7974, 7977, 7981, 7982, 7984, 7985, 7988, 7990, 7993, 7997, 7997, 8001, 8003, 8003, 8004, 8004, 8006, 8011, 8019, 8021, 8022, 8026, 8026, 8027, 8027, 8032, 8032, 8032, 8032, 8034, 8036, 8044, 8044, 8047, 8047, 8052, 8054, 8056, 8056, 8063, 8069, 8070, 8072, 8075, 8076, 8079, 8082, 8082, 8085, 8087, 8088, 8090, 8091, 8093, 8094, 8094, 8095, 8097, 8098, 8099, 8100, 8111, 8112, 8114, 8117, 8119, 8122, 8123, 8123, 8125, 8127, 8128, 8137, 8137, 8138, 8138, 8138, 8142, 8150, 8150, 8158, 8159, 8162, 8163, 8163, 8166, 8168, 8172, 8173, 8173, 8177, 8177, 8177, 8181, 8183, 8184, 8186, 8189, 8190, 8190, 8190, 8193, 8195, 8195, 8195, 8200, 8202, 8208, 8210, 8210, 8210, 8211, 8211, 8216, 8216, 8218, 8218, 8226, 8229, 8231, 8232, 8232, 8236, 8237, 8238, 8239, 8242, 8243, 8252, 8254, 8254, 8255, 8259, 8264, 8265, 8265, 8266, 8266, 8267, 8269, 8270, 8270, 8272, 8275, 8277, 8282, 8283, 8287, 8292, 8293, 8293, 8294, 8294, 8296, 8297, 8301, 8307, 8312, 8316, 8319, 8320, 8322, 8329, 8331, 8331, 8332, 8333, 8337, 8338, 8342, 8345, 8346, 8346, 8351, 8354, 8355, 8355, 8360, 8362, 8367, 8368, 8371, 8371, 8373, 8373, 8374, 8374, 8379, 8384, 8384, 8384, 8385, 8386, 8386, 8391, 8393, 8403, 8404, 8405, 8407, 8408, 8411, 8413, 8415, 8416, 8416, 8418, 8421, 8421, 8422, 8423, 8424, 8427, 8429, 8430, 8432, 8432, 8435, 8436, 8436, 8441, 8442, 8446, 8449, 8449, 8451, 8454, 8456, 8456, 8457, 8461, 8464, 8471, 8473, 8475, 8479, 8482, 8482, 8485, 8486, 8486, 8487, 8489, 8489, 8490, 8494, 8495, 8511, 8514, 8515, 8517, 8522, 8522, 8523, 8524, 8528, 8530, 8531, 8533, 8533, 8535, 8537, 8539, 8541, 8547, 8548, 8550, 8554, 8556, 8557, 8559, 8564, 8564, 8564, 8567, 8568, 8569, 8574, 8574, 8575, 8576, 8577, 8578, 8580, 8580, 8582, 8582, 8583, 8586, 8588, 8589, 8592, 8594, 8595, 8599, 8605, 8605, 8609, 8610, 8614, 8616, 8616, 8617, 8619, 8619, 8620, 8623, 8623, 8625, 8626, 8631, 8631, 8632, 8636, 8636, 8641, 8641, 8647, 8647, 8652, 8654, 8655, 8656, 8656, 8657, 8658, 8658, 8660, 8663, 8665, 8668, 8668, 8670, 8672, 8672, 8674, 8677, 8679, 8680, 8680, 8684, 8686, 8688, 8688, 8689, 8693, 8693, 8694, 8695, 8696, 8696, 8702, 8703, 8707, 8708, 8712, 8713, 8720, 8722, 8723, 8724, 8724, 8725, 8726, 8728, 8729, 8733, 8734, 8737, 8739, 8745, 8746, 8747, 8749, 8750, 8750, 8753, 8753, 8755, 8755, 8757, 8757, 8759, 8760, 8761, 8769, 8772, 8773, 8774, 8775, 8778, 8778, 8780, 8780, 8782, 8785, 8787, 8790, 8791, 8792, 8793, 8794, 8798, 8799, 8799, 8801, 8804, 8815, 8820, 8823, 8826, 8829, 8829, 8830, 8834, 8835, 8838, 8843, 8848, 8848, 8849, 8850, 8852, 8854, 8854, 8856, 8857, 8857, 8862, 8866, 8868, 8875, 8876, 8879, 8886, 8886, 8887, 8887, 8890, 8891, 8895, 8895, 8899, 8901, 8901, 8902, 8905, 8908, 8910, 8915, 8915, 8918, 8921, 8923, 8923, 8925, 8925, 8926, 8927, 8928, 8928, 8932, 8933, 8933, 8935, 8937, 8938, 8941, 8951, 8951, 8952, 8955, 8956, 8958, 8959, 8960, 8964, 8965, 8969, 8971, 8973, 8976, 8977, 8977, 8979, 8980, 8980, 8981, 8989, 8992, 8993, 8994, 8998, 9000, 9003, 9003, 9003, 9006, 9012, 9013, 9013, 9014, 9014, 9019, 9019, 9020, 9020, 9023, 9024, 9025, 9029, 9029, 9031, 9039, 9048, 9049, 9054, 9058, 9059, 9060, 9062, 9062, 9067, 9067, 9069, 9072, 9074, 9075, 9077, 9082, 9082, 9083, 9083, 9084, 9084, 9087, 9094, 9095, 9096, 9096, 9097, 9097, 9098, 9102, 9103, 9103, 9105, 9106, 9107, 9107, 9109, 9110, 9110, 9111, 9116, 9117, 9118, 9122, 9122, 9122, 9124, 9125, 9130, 9131, 9133, 9134, 9134, 9137, 9137, 9138, 9143, 9144, 9145, 9146, 9148, 9148, 9148, 9149, 9150, 9156, 9158, 9160, 9162, 9163, 9163, 9166, 9171, 9171, 9173, 9174, 9175, 9178, 9179, 9181, 9182, 9185, 9186, 9188, 9189, 9189, 9189, 9192, 9193, 9194, 9197, 9197, 9199, 9201, 9202, 9203, 9205, 9211, 9211, 9212, 9214, 9215, 9216, 9217, 9219, 9219, 9225, 9227, 9228, 9231, 9232, 9232, 9236, 9238, 9241, 9241, 9242, 9245, 9246, 9246, 9249, 9250, 9251, 9254, 9257, 9258, 9260, 9262, 9263, 9263, 9264, 9271, 9272, 9276, 9276, 9276, 9279, 9280, 9285, 9286, 9288, 9289, 9290, 9292, 9293, 9293, 9295, 9298, 9299, 9306, 9313, 9314, 9316, 9323, 9323, 9325, 9325, 9326, 9330, 9333, 9333, 9334, 9338, 9340, 9341, 9342, 9342, 9342, 9343, 9344, 9347, 9347, 9350, 9351, 9356, 9357, 9358, 9359, 9359, 9360, 9360, 9361, 9361, 9363, 9364, 9364, 9369, 9370, 9370, 9371, 9374, 9376, 9377, 9378, 9386, 9388, 9390, 9390, 9390, 9395, 9398, 9398, 9400, 9401, 9401, 9402, 9403, 9404, 9405, 9405, 9411, 9414, 9416, 9419, 9421, 9423, 9427, 9428, 9431, 9432, 9433, 9434, 9437, 9438, 9439, 9440, 9441, 9441, 9442, 9446, 9450, 9450, 9453, 9457, 9459, 9459, 9464, 9465, 9469, 9471, 9474, 9474, 9474, 9476, 9476, 9479, 9479, 9484, 9485, 9485, 9486, 9488, 9490, 9492, 9494, 9503, 9503, 9504, 9504, 9506, 9512, 9512, 9513, 9514, 9515, 9516, 9516, 9519, 9520, 9523, 9525, 9528, 9529, 9538, 9540, 9544, 9544, 9547, 9548, 9557, 9562, 9564, 9568, 9577, 9578, 9579, 9580, 9580, 9583, 9584, 9591, 9592, 9593, 9593, 9593, 9594, 9600, 9605, 9608, 9615, 9618, 9621, 9626, 9628, 9632, 9636, 9636, 9636, 9640, 9644, 9646, 9646, 9651, 9653, 9655, 9662, 9663, 9664, 9668, 9670, 9678, 9678, 9679, 9682, 9682, 9682, 9682, 9682, 9691, 9693, 9694, 9694, 9695, 9696, 9697, 9698, 9699, 9700, 9704, 9706, 9708, 9712, 9717, 9717, 9718, 9718, 9718, 9721, 9722, 9724, 9724, 9726, 9727, 9736, 9736, 9737, 9741, 9742, 9744, 9745, 9746, 9746, 9746, 9753, 9755, 9756, 9757, 9762, 9763, 9764, 9765, 9765, 9765, 9768, 9769, 9772, 9779, 9780, 9782, 9784, 9786, 9788, 9788, 9789, 9790, 9791, 9795, 9795, 9799, 9801, 9808, 9811, 9812, 9812, 9812, 9812, 9813, 9813, 9814, 9814, 9815, 9818, 9819, 9822, 9824, 9827, 9829, 9832, 9837, 9838, 9839, 9839, 9839, 9841, 9844, 9847, 9851, 9855, 9857, 9862, 9863, 9866, 9873, 9874, 9874, 9875, 9877, 9879, 9879, 9881, 9885, 9890, 9894, 9895, 9900, 9900, 9902, 9908, 9908, 9909, 9911, 9911, 9911, 9912, 9913, 9913, 9915, 9915, 9919, 9921, 9924, 9924, 9929, 9930, 9934, 9936, 9942, 9942, 9943, 9943, 9944, 9945, 9945, 9946, 9947, 9947, 9947, 9949, 9949, 9950, 9951, 9952, 9960, 9961, 9962, 9967, 9968, 9972, 9972, 9973, 9975, 9977, 9979, 9981, 9981, 9986, 9988, 9989, 9992, 9992, 9997]

// Radix Sort
import java.util.Arrays;

public class RadixSort {
    public static void main(String[] args) {
        int[] arr = new int[5000];
        // Fill the array with random integers
        for (int i = 0; i < arr.length; i++) {
            arr[i] = (int) (Math.random() * 10000);
        }
        
        System.out.println("Before sorting: " + Arrays.toString(arr));
        
        // Sort the array using Radix Sort
        radixSort(arr);
        
        System.out.println("After sorting: " + Arrays.toString(arr));
    }
    
    public static void radixSort(int[] arr) {
        // Find the maximum number to know the number of digits
        int max = Arrays.stream(arr).max().getAsInt();
        
        // Do counting sort for every digit. Note that instead of passing digit number, 
        // exp is passed. exp is 10^i where i is the current digit number
        for (int exp = 1; max / exp > 0; exp *= 10) {
            countSort(arr, exp);
        }
    }
    
    public static void countSort(int[] arr, int exp) {
        int[] output = new int[arr.length]; // output array
        int[] count = new int[10];
        
        // Store count of occurrences in count[]
        for (int i = 0; i < arr.length; i++) {
            count[(arr[i] / exp) % 10]++;
        }
        
        // Change count[i] so that count[i] now contains actual position of this digit 
        // in output[]
        for (int i = 1; i < 10; i++) {
            count[i] += count[i - 1];
        }
        
        // Build the output array
        for (int i = arr.length - 1; i >= 0; i--) {
            output[count[(arr[i] / exp) % 10] - 1] = arr[i];
            count[(arr[i] / exp) % 10]--;
        }
        
        // Copy the output array to arr[], so that arr[] now contains sorted numbers 
        // according to current digit
        System.arraycopy(output, 0, arr, 0, arr.length);
    }
}
RadixSort.main(null);

Before sorting: [1433, 7929, 7347, 3633, 5920, 3242, 2254, 5051, 4628, 3488, 9748, 1007, 5680, 8638, 5419, 38, 2790, 1002, 8821, 3387, 5604, 1055, 494, 4065, 3742, 2935, 9812, 5971, 6826, 1817, 167, 5353, 8217, 5597, 8661, 8542, 8502, 8882, 5916, 1838, 5873, 8173, 7858, 1747, 4436, 3258, 5426, 6291, 8245, 1394, 29, 1079, 8377, 7600, 2272, 6990, 2724, 6537, 8976, 9868, 3343, 8895, 8864, 6473, 4185, 7897, 386, 5054, 2817, 9651, 6119, 3409, 3344, 4411, 6956, 2041, 4171, 4492, 5831, 5128, 3458, 8595, 5144, 7415, 7170, 1593, 4237, 851, 9473, 3447, 3276, 822, 2906, 855, 7728, 8163, 6209, 493, 3243, 9790, 1014, 3234, 4207, 7752, 4688, 4638, 502, 3778, 5520, 8151, 6047, 3975, 8220, 3978, 9625, 6260, 2175, 8376, 3152, 1274, 2323, 5245, 5102, 6111, 2624, 4325, 7069, 8982, 5106, 8048, 9639, 2102, 3268, 2159, 9648, 9575, 7192, 3570, 4678, 6777, 9161, 2621, 2226, 7880, 2801, 5888, 349, 8514, 5796, 7, 3791, 1308, 6088, 6583, 4608, 3060, 4143, 3202, 9133, 3631, 9332, 5796, 3758, 8310, 6772, 3176, 434, 7346, 2085, 5403, 9103, 8643, 5425, 3875, 8280, 2175, 2883, 2466, 6949, 7595, 2889, 5901, 586, 9727, 7615, 3627, 1680, 143, 4514, 4913, 385, 6868, 1152, 3615, 4140, 8421, 7230, 9147, 5977, 2838, 1345, 3512, 45, 7123, 6423, 2982, 9415, 7648, 6988, 6969, 5649, 7411, 3507, 5960, 1783, 1812, 3841, 5008, 396, 590, 9560, 9171, 6273, 9926, 5329, 2596, 8778, 5366, 2854, 3425, 2517, 3164, 7011, 2643, 6134, 4955, 659, 6118, 8147, 8205, 6415, 5592, 5607, 2844, 8145, 6213, 6086, 2645, 2352, 5264, 5992, 8486, 9748, 9241, 8516, 9426, 303, 4120, 2702, 6722, 858, 6744, 1013, 5325, 2979, 3617, 6575, 7223, 156, 7073, 2835, 1038, 7666, 7795, 7746, 2727, 5481, 6944, 1815, 2904, 4440, 793, 4321, 7379, 8559, 5693, 4868, 8797, 1874, 1428, 8068, 8946, 6449, 6603, 7555, 3245, 9322, 520, 1862, 1212, 68, 2263, 8701, 9290, 7381, 9118, 6100, 5320, 2626, 3335, 8550, 7145, 653, 8300, 3818, 1379, 3351, 2665, 1402, 2187, 9382, 3694, 6742, 4100, 4325, 9145, 6251, 7316, 9084, 408, 6988, 8761, 802, 8240, 1360, 7220, 9771, 6509, 1644, 6292, 7863, 8592, 1282, 4604, 8862, 5737, 9964, 8766, 8737, 6625, 7280, 885, 4388, 2593, 5395, 9077, 2665, 3551, 4640, 6434, 7596, 5496, 7160, 1115, 2641, 1700, 2842, 7873, 6546, 6144, 8637, 9199, 5893, 9587, 7068, 2478, 4808, 5760, 2247, 8091, 2447, 7627, 2030, 2230, 1859, 1382, 3084, 7339, 9628, 8917, 1584, 2548, 4277, 7865, 6013, 6280, 2856, 1995, 118, 3240, 9348, 3749, 3459, 8460, 5579, 4988, 4178, 1723, 5166, 1669, 3625, 6777, 3699, 3070, 5323, 1035, 3846, 6463, 1345, 3133, 2343, 3643, 7671, 7694, 6944, 6648, 6319, 8877, 5331, 6140, 6125, 6931, 4684, 7422, 5948, 4837, 191, 5897, 3744, 5342, 3096, 5859, 2490, 2230, 4071, 3964, 9246, 3495, 5669, 1461, 6777, 8231, 8405, 7314, 8117, 3538, 8617, 7738, 3205, 2493, 2678, 6326, 3295, 9334, 1355, 2959, 3237, 3414, 147, 8982, 3913, 9175, 6303, 766, 7129, 5435, 866, 3683, 3079, 3610, 4595, 3796, 6133, 1150, 9869, 5092, 8164, 3419, 6824, 5977, 9862, 4538, 860, 9926, 9575, 5286, 391, 1670, 6093, 4077, 8263, 2115, 6497, 5194, 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After sorting: [0, 6, 6, 7, 9, 12, 12, 14, 17, 17, 18, 19, 23, 26, 28, 29, 32, 32, 33, 36, 38, 38, 41, 42, 43, 45, 45, 47, 49, 56, 60, 61, 66, 66, 66, 67, 67, 68, 70, 73, 76, 77, 79, 80, 83, 83, 88, 89, 92, 96, 99, 103, 105, 108, 109, 110, 112, 115, 117, 117, 118, 118, 120, 122, 123, 123, 124, 127, 133, 133, 134, 135, 135, 138, 143, 143, 143, 144, 145, 147, 147, 149, 153, 154, 156, 160, 163, 166, 167, 168, 169, 171, 172, 174, 179, 181, 181, 186, 187, 189, 191, 191, 191, 191, 194, 197, 197, 199, 202, 208, 211, 218, 218, 220, 220, 220, 225, 226, 227, 229, 232, 233, 235, 238, 243, 244, 247, 252, 254, 258, 259, 259, 261, 264, 265, 265, 265, 275, 278, 290, 293, 294, 296, 299, 301, 302, 303, 303, 304, 308, 311, 312, 314, 317, 318, 323, 323, 329, 331, 333, 333, 334, 334, 337, 337, 338, 338, 338, 340, 341, 342, 345, 349, 349, 350, 351, 351, 352, 357, 360, 362, 365, 366, 366, 368, 369, 370, 375, 378, 381, 385, 385, 386, 391, 392, 392, 395, 396, 396, 396, 396, 398, 401, 404, 407, 408, 408, 410, 420, 423, 426, 428, 434, 434, 434, 435, 436, 443, 445, 446, 447, 448, 453, 457, 457, 464, 466, 466, 467, 469, 470, 475, 481, 482, 490, 493, 493, 493, 494, 495, 500, 501, 501, 502, 504, 504, 504, 504, 505, 505, 505, 508, 515, 515, 516, 520, 521, 521, 522, 522, 529, 529, 531, 532, 534, 543, 544, 551, 551, 552, 555, 556, 563, 564, 565, 569, 569, 571, 572, 573, 573, 577, 578, 578, 583, 584, 586, 588, 588, 590, 590, 591, 591, 598, 600, 601, 604, 605, 605, 606, 608, 608, 609, 609, 613, 614, 616, 618, 619, 620, 621, 626, 632, 634, 640, 642, 644, 644, 646, 646, 646, 652, 653, 653, 654, 655, 655, 659, 663, 663, 664, 665, 665, 666, 668, 669, 670, 674, 675, 676, 679, 681, 681, 682, 682, 694, 695, 697, 697, 704, 706, 706, 706, 708, 712, 713, 714, 716, 717, 718, 723, 723, 724, 734, 734, 734, 735, 736, 737, 742, 743, 746, 749, 750, 754, 756, 758, 760, 761, 764, 765, 765, 766, 771, 778, 780, 781, 781, 782, 784, 784, 788, 788, 788, 790, 791, 792, 793, 794, 794, 799, 800, 801, 802, 802, 803, 805, 806, 808, 814, 815, 815, 817, 819, 821, 821, 822, 822, 823, 828, 830, 832, 834, 842, 847, 849, 851, 851, 851, 852, 854, 855, 856, 856, 858, 858, 860, 866, 870, 874, 875, 878, 881, 885, 890, 891, 892, 893, 895, 895, 897, 898, 900, 900, 905, 907, 908, 908, 908, 909, 917, 919, 921, 921, 922, 923, 926, 926, 926, 929, 934, 937, 938, 940, 942, 946, 952, 952, 953, 957, 966, 973, 975, 977, 977, 979, 980, 984, 984, 985, 986, 988, 989, 993, 994, 994, 994, 994, 997, 998, 1002, 1003, 1004, 1007, 1007, 1013, 1014, 1015, 1018, 1020, 1021, 1024, 1024, 1028, 1031, 1035, 1038, 1050, 1051, 1053, 1055, 1057, 1058, 1059, 1060, 1062, 1066, 1076, 1077, 1077, 1077, 1079, 1079, 1079, 1083, 1085, 1089, 1095, 1097, 1097, 1098, 1106, 1107, 1108, 1110, 1112, 1113, 1115, 1115, 1125, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1138, 1138, 1139, 1139, 1141, 1143, 1150, 1150, 1152, 1158, 1159, 1161, 1164, 1164, 1166, 1166, 1167, 1168, 1169, 1170, 1173, 1175, 1175, 1176, 1178, 1178, 1178, 1180, 1180, 1191, 1192, 1192, 1200, 1202, 1203, 1207, 1208, 1209, 1212, 1214, 1214, 1216, 1216, 1218, 1218, 1219, 1219, 1222, 1222, 1224, 1235, 1237, 1237, 1239, 1242, 1244, 1249, 1249, 1250, 1251, 1253, 1254, 1254, 1255, 1256, 1261, 1264, 1267, 1268, 1270, 1271, 1273, 1274, 1276, 1277, 1280, 1281, 1282, 1282, 1282, 1284, 1294, 1296, 1303, 1305, 1308, 1310, 1310, 1315, 1315, 1320, 1324, 1325, 1332, 1333, 1336, 1340, 1340, 1340, 1345, 1345, 1348, 1348, 1351, 1354, 1355, 1355, 1360, 1360, 1362, 1367, 1379, 1379, 1379, 1382, 1382, 1385, 1387, 1389, 1391, 1393, 1393, 1394, 1394, 1397, 1402, 1412, 1414, 1415, 1416, 1418, 1418, 1423, 1425, 1428, 1433, 1433, 1435, 1437, 1440, 1444, 1444, 1450, 1452, 1452, 1461, 1461, 1462, 1462, 1464, 1472, 1473, 1473, 1473, 1475, 1479, 1481, 1482, 1483, 1488, 1490, 1494, 1497, 1498, 1503, 1507, 1510, 1516, 1517, 1518, 1524, 1527, 1529, 1531, 1534, 1534, 1537, 1541, 1544, 1545, 1548, 1550, 1560, 1562, 1568, 1569, 1570, 1571, 1575, 1578, 1584, 1585, 1586, 1591, 1593, 1595, 1598, 1601, 1601, 1602, 1606, 1607, 1610, 1612, 1613, 1614, 1614, 1616, 1617, 1618, 1620, 1620, 1620, 1622, 1625, 1628, 1629, 1631, 1632, 1632, 1636, 1641, 1642, 1642, 1644, 1646, 1648, 1648, 1654, 1655, 1658, 1659, 1662, 1666, 1668, 1669, 1670, 1670, 1674, 1677, 1680, 1681, 1683, 1688, 1690, 1694, 1698, 1698, 1700, 1700, 1702, 1702, 1713, 1714, 1717, 1723, 1724, 1735, 1735, 1737, 1738, 1739, 1741, 1741, 1747, 1750, 1753, 1753, 1756, 1756, 1757, 1766, 1767, 1769, 1773, 1779, 1781, 1783, 1783, 1787, 1787, 1788, 1797, 1800, 1801, 1801, 1802, 1803, 1805, 1807, 1809, 1811, 1812, 1813, 1814, 1815, 1817, 1818, 1821, 1822, 1823, 1823, 1827, 1828, 1834, 1838, 1840, 1842, 1843, 1844, 1845, 1847, 1851, 1851, 1855, 1855, 1855, 1859, 1860, 1861, 1862, 1866, 1866, 1871, 1871, 1874, 1875, 1875, 1876, 1881, 1884, 1885, 1886, 1890, 1890, 1891, 1892, 1893, 1899, 1901, 1902, 1906, 1910, 1911, 1912, 1913, 1913, 1914, 1915, 1916, 1918, 1918, 1920, 1920, 1921, 1922, 1928, 1928, 1928, 1934, 1941, 1946, 1949, 1949, 1950, 1955, 1955, 1959, 1961, 1966, 1969, 1973, 1976, 1978, 1985, 1988, 1988, 1989, 1993, 1995, 1998, 1998, 1998, 1998, 2001, 2001, 2002, 2002, 2003, 2008, 2008, 2013, 2014, 2020, 2021, 2022, 2025, 2026, 2030, 2032, 2032, 2034, 2035, 2039, 2041, 2041, 2041, 2042, 2043, 2045, 2046, 2047, 2057, 2060, 2060, 2063, 2063, 2067, 2068, 2074, 2076, 2084, 2085, 2086, 2087, 2088, 2091, 2093, 2094, 2095, 2096, 2097, 2102, 2115, 2117, 2119, 2119, 2121, 2125, 2128, 2131, 2133, 2137, 2138, 2138, 2138, 2140, 2141, 2143, 2145, 2146, 2147, 2151, 2156, 2157, 2159, 2160, 2161, 2162, 2163, 2165, 2165, 2168, 2170, 2170, 2173, 2175, 2175, 2175, 2175, 2180, 2180, 2181, 2181, 2182, 2183, 2187, 2190, 2190, 2196, 2198, 2198, 2201, 2203, 2204, 2205, 2206, 2207, 2210, 2210, 2211, 2212, 2220, 2224, 2225, 2225, 2226, 2230, 2230, 2232, 2236, 2241, 2241, 2244, 2244, 2245, 2245, 2247, 2250, 2252, 2254, 2257, 2258, 2261, 2261, 2262, 2263, 2264, 2264, 2267, 2267, 2268, 2271, 2272, 2273, 2274, 2274, 2277, 2278, 2279, 2279, 2280, 2280, 2281, 2285, 2288, 2293, 2295, 2295, 2297, 2298, 2304, 2306, 2307, 2310, 2311, 2312, 2312, 2316, 2316, 2320, 2323, 2324, 2329, 2333, 2334, 2334, 2343, 2349, 2352, 2354, 2356, 2358, 2359, 2365, 2370, 2373, 2375, 2379, 2380, 2383, 2383, 2387, 2389, 2395, 2397, 2398, 2399, 2402, 2403, 2405, 2406, 2407, 2408, 2408, 2408, 2409, 2410, 2412, 2413, 2415, 2418, 2422, 2425, 2428, 2430, 2431, 2431, 2431, 2437, 2440, 2440, 2441, 2445, 2445, 2447, 2447, 2448, 2450, 2456, 2461, 2463, 2463, 2464, 2465, 2466, 2473, 2474, 2475, 2478, 2482, 2484, 2484, 2484, 2485, 2488, 2489, 2490, 2490, 2492, 2492, 2493, 2495, 2499, 2502, 2503, 2504, 2506, 2507, 2508, 2509, 2510, 2512, 2512, 2517, 2530, 2530, 2532, 2532, 2535, 2535, 2540, 2541, 2547, 2548, 2549, 2553, 2555, 2555, 2556, 2557, 2557, 2558, 2561, 2564, 2572, 2576, 2578, 2579, 2582, 2582, 2586, 2591, 2592, 2593, 2593, 2596, 2599, 2601, 2601, 2602, 2609, 2610, 2611, 2611, 2617, 2621, 2623, 2624, 2624, 2624, 2626, 2626, 2632, 2633, 2641, 2641, 2643, 2644, 2645, 2645, 2646, 2647, 2649, 2649, 2651, 2652, 2660, 2661, 2663, 2664, 2665, 2665, 2667, 2668, 2668, 2671, 2673, 2678, 2678, 2678, 2684, 2688, 2689, 2689, 2690, 2691, 2696, 2697, 2698, 2702, 2704, 2704, 2706, 2706, 2711, 2715, 2717, 2718, 2722, 2724, 2724, 2727, 2730, 2731, 2732, 2734, 2737, 2741, 2742, 2746, 2749, 2752, 2755, 2761, 2764, 2764, 2766, 2766, 2769, 2770, 2772, 2774, 2778, 2778, 2780, 2781, 2786, 2789, 2790, 2790, 2792, 2793, 2795, 2796, 2799, 2801, 2803, 2806, 2806, 2815, 2815, 2817, 2818, 2822, 2823, 2824, 2826, 2827, 2829, 2829, 2830, 2831, 2835, 2836, 2837, 2838, 2839, 2839, 2839, 2842, 2844, 2849, 2854, 2855, 2856, 2859, 2859, 2867, 2868, 2871, 2871, 2873, 2874, 2876, 2876, 2878, 2880, 2881, 2881, 2883, 2886, 2886, 2889, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2896, 2899, 2899, 2900, 2901, 2904, 2904, 2906, 2912, 2914, 2919, 2920, 2926, 2931, 2932, 2935, 2938, 2941, 2944, 2946, 2948, 2948, 2950, 2952, 2953, 2956, 2959, 2963, 2963, 2970, 2971, 2973, 2974, 2975, 2976, 2978, 2978, 2979, 2979, 2980, 2982, 2982, 2985, 2990, 2992, 2993, 2993, 2995, 2995, 2995, 2998, 3003, 3005, 3010, 3010, 3019, 3021, 3022, 3023, 3025, 3028, 3029, 3030, 3033, 3037, 3053, 3053, 3054, 3056, 3059, 3059, 3059, 3060, 3061, 3063, 3070, 3071, 3072, 3073, 3075, 3076, 3077, 3079, 3081, 3084, 3086, 3087, 3087, 3088, 3090, 3090, 3092, 3093, 3096, 3097, 3098, 3101, 3103, 3104, 3105, 3108, 3109, 3118, 3118, 3129, 3130, 3133, 3133, 3140, 3145, 3149, 3150, 3152, 3161, 3163, 3163, 3164, 3164, 3171, 3173, 3174, 3175, 3176, 3178, 3181, 3183, 3184, 3185, 3185, 3186, 3192, 3193, 3197, 3200, 3200, 3201, 3202, 3204, 3204, 3205, 3205, 3205, 3205, 3206, 3208, 3209, 3210, 3213, 3213, 3214, 3218, 3218, 3219, 3221, 3226, 3228, 3229, 3231, 3231, 3232, 3233, 3234, 3237, 3238, 3240, 3240, 3242, 3243, 3245, 3245, 3246, 3250, 3252, 3253, 3254, 3257, 3258, 3268, 3275, 3276, 3279, 3280, 3281, 3284, 3285, 3286, 3286, 3289, 3290, 3294, 3295, 3295, 3297, 3297, 3299, 3299, 3299, 3305, 3306, 3307, 3308, 3309, 3312, 3321, 3323, 3325, 3327, 3331, 3331, 3332, 3333, 3334, 3335, 3335, 3335, 3335, 3337, 3337, 3339, 3340, 3341, 3343, 3344, 3344, 3344, 3345, 3346, 3349, 3351, 3351, 3353, 3354, 3354, 3356, 3358, 3358, 3360, 3360, 3368, 3369, 3370, 3376, 3378, 3379, 3380, 3385, 3387, 3387, 3388, 3389, 3394, 3395, 3395, 3397, 3398, 3399, 3399, 3406, 3407, 3409, 3411, 3412, 3412, 3414, 3417, 3419, 3420, 3421, 3424, 3424, 3425, 3429, 3430, 3431, 3432, 3432, 3434, 3438, 3444, 3445, 3447, 3456, 3458, 3459, 3464, 3468, 3469, 3471, 3473, 3473, 3475, 3476, 3476, 3478, 3478, 3479, 3483, 3486, 3486, 3487, 3488, 3488, 3489, 3495, 3496, 3499, 3500, 3503, 3503, 3503, 3504, 3504, 3507, 3507, 3511, 3511, 3512, 3515, 3515, 3517, 3521, 3521, 3522, 3523, 3525, 3526, 3532, 3534, 3538, 3542, 3542, 3551, 3551, 3552, 3557, 3558, 3561, 3563, 3563, 3566, 3569, 3570, 3570, 3571, 3571, 3573, 3574, 3575, 3576, 3580, 3582, 3583, 3585, 3585, 3586, 3588, 3588, 3591, 3594, 3594, 3597, 3599, 3601, 3609, 3610, 3610, 3613, 3613, 3614, 3615, 3617, 3622, 3623, 3625, 3627, 3628, 3631, 3631, 3633, 3637, 3643, 3644, 3646, 3648, 3649, 3652, 3659, 3660, 3661, 3662, 3663, 3665, 3666, 3669, 3670, 3673, 3673, 3674, 3674, 3674, 3675, 3678, 3682, 3683, 3684, 3689, 3689, 3690, 3692, 3694, 3696, 3699, 3702, 3705, 3706, 3708, 3710, 3720, 3724, 3728, 3731, 3734, 3736, 3736, 3738, 3742, 3742, 3742, 3744, 3746, 3749, 3749, 3751, 3752, 3752, 3753, 3754, 3758, 3758, 3758, 3759, 3760, 3764, 3764, 3764, 3772, 3773, 3774, 3775, 3776, 3778, 3778, 3780, 3780, 3783, 3789, 3790, 3791, 3791, 3793, 3795, 3796, 3798, 3800, 3801, 3801, 3802, 3806, 3806, 3808, 3808, 3810, 3811, 3814, 3814, 3814, 3818, 3818, 3821, 3822, 3824, 3829, 3830, 3833, 3835, 3841, 3842, 3845, 3846, 3848, 3849, 3849, 3850, 3854, 3868, 3870, 3870, 3870, 3870, 3872, 3873, 3875, 3875, 3877, 3878, 3887, 3888, 3890, 3891, 3898, 3898, 3902, 3905, 3906, 3906, 3910, 3910, 3910, 3912, 3913, 3913, 3916, 3916, 3921, 3921, 3922, 3925, 3926, 3927, 3927, 3929, 3930, 3932, 3935, 3938, 3939, 3940, 3943, 3944, 3944, 3945, 3947, 3948, 3948, 3951, 3952, 3953, 3955, 3959, 3960, 3961, 3962, 3963, 3963, 3963, 3964, 3965, 3967, 3968, 3969, 3969, 3969, 3973, 3973, 3975, 3978, 3978, 3980, 3985, 3986, 3986, 3987, 3987, 3990, 3991, 3992, 3992, 3994, 3999, 4003, 4005, 4006, 4012, 4014, 4020, 4020, 4022, 4023, 4023, 4026, 4026, 4027, 4028, 4029, 4030, 4031, 4033, 4034, 4036, 4037, 4038, 4039, 4039, 4041, 4048, 4050, 4050, 4054, 4058, 4065, 4066, 4071, 4076, 4076, 4077, 4079, 4080, 4080, 4081, 4082, 4084, 4093, 4093, 4095, 4097, 4099, 4100, 4104, 4105, 4108, 4108, 4109, 4113, 4114, 4117, 4119, 4120, 4120, 4122, 4123, 4123, 4126, 4127, 4129, 4129, 4134, 4134, 4135, 4138, 4140, 4140, 4143, 4145, 4146, 4150, 4150, 4151, 4151, 4159, 4161, 4162, 4166, 4168, 4171, 4172, 4172, 4174, 4175, 4176, 4178, 4181, 4182, 4184, 4185, 4185, 4189, 4190, 4191, 4194, 4194, 4194, 4196, 4198, 4205, 4206, 4207, 4208, 4208, 4208, 4209, 4209, 4210, 4215, 4215, 4216, 4218, 4219, 4219, 4222, 4223, 4226, 4230, 4230, 4234, 4236, 4237, 4238, 4238, 4238, 4239, 4242, 4244, 4244, 4246, 4250, 4255, 4263, 4264, 4266, 4267, 4267, 4273, 4273, 4274, 4276, 4277, 4279, 4284, 4286, 4287, 4287, 4287, 4288, 4292, 4293, 4293, 4297, 4300, 4302, 4304, 4306, 4307, 4308, 4309, 4310, 4314, 4314, 4319, 4320, 4320, 4321, 4325, 4325, 4325, 4328, 4329, 4329, 4331, 4331, 4332, 4333, 4334, 4339, 4340, 4344, 4344, 4348, 4349, 4350, 4353, 4353, 4366, 4369, 4370, 4375, 4376, 4378, 4381, 4388, 4391, 4391, 4393, 4394, 4395, 4396, 4397, 4400, 4401, 4402, 4403, 4405, 4406, 4409, 4409, 4410, 4411, 4414, 4426, 4426, 4429, 4430, 4430, 4431, 4436, 4438, 4438, 4440, 4446, 4448, 4454, 4458, 4459, 4460, 4465, 4466, 4470, 4471, 4472, 4472, 4473, 4473, 4473, 4475, 4475, 4478, 4478, 4481, 4486, 4487, 4489, 4491, 4492, 4495, 4497, 4498, 4498, 4499, 4502, 4504, 4505, 4510, 4510, 4514, 4514, 4516, 4518, 4519, 4527, 4528, 4530, 4530, 4531, 4532, 4538, 4542, 4542, 4543, 4546, 4547, 4548, 4548, 4551, 4553, 4557, 4561, 4561, 4563, 4566, 4567, 4570, 4572, 4574, 4575, 4577, 4578, 4582, 4583, 4583, 4584, 4588, 4589, 4590, 4591, 4595, 4595, 4602, 4603, 4604, 4605, 4605, 4605, 4608, 4608, 4612, 4613, 4614, 4615, 4616, 4619, 4622, 4624, 4628, 4630, 4632, 4635, 4638, 4640, 4640, 4640, 4642, 4644, 4646, 4646, 4654, 4655, 4658, 4659, 4661, 4662, 4666, 4667, 4668, 4668, 4671, 4677, 4678, 4678, 4678, 4679, 4680, 4680, 4680, 4681, 4684, 4684, 4685, 4686, 4688, 4690, 4691, 4693, 4693, 4694, 4694, 4698, 4699, 4700, 4704, 4709, 4709, 4709, 4711, 4711, 4712, 4714, 4715, 4718, 4718, 4720, 4721, 4722, 4722, 4723, 4724, 4732, 4733, 4733, 4734, 4735, 4737, 4742, 4745, 4745, 4745, 4745, 4747, 4748, 4754, 4754, 4757, 4757, 4760, 4761, 4761, 4762, 4763, 4764, 4764, 4766, 4769, 4769, 4773, 4773, 4774, 4776, 4776, 4777, 4778, 4779, 4786, 4787, 4791, 4794, 4803, 4805, 4808, 4809, 4811, 4812, 4814, 4815, 4815, 4820, 4821, 4821, 4823, 4825, 4828, 4828, 4830, 4834, 4835, 4837, 4837, 4837, 4838, 4840, 4844, 4850, 4851, 4854, 4855, 4856, 4856, 4865, 4866, 4868, 4868, 4869, 4872, 4874, 4877, 4878, 4878, 4879, 4880, 4883, 4886, 4893, 4898, 4900, 4902, 4903, 4908, 4910, 4913, 4914, 4915, 4923, 4927, 4937, 4938, 4940, 4941, 4942, 4945, 4946, 4949, 4951, 4955, 4957, 4961, 4966, 4967, 4968, 4970, 4976, 4979, 4979, 4980, 4985, 4985, 4985, 4986, 4988, 4988, 4988, 4989, 4993, 4994, 4996, 4997, 4998, 5000, 5001, 5002, 5002, 5004, 5004, 5005, 5006, 5008, 5012, 5015, 5015, 5015, 5017, 5018, 5020, 5021, 5021, 5023, 5023, 5024, 5024, 5024, 5026, 5028, 5036, 5038, 5038, 5043, 5046, 5048, 5051, 5052, 5053, 5054, 5054, 5055, 5062, 5065, 5065, 5068, 5071, 5074, 5076, 5076, 5078, 5080, 5080, 5082, 5083, 5085, 5087, 5090, 5092, 5092, 5102, 5104, 5105, 5106, 5108, 5109, 5116, 5117, 5118, 5123, 5124, 5128, 5130, 5143, 5144, 5144, 5144, 5144, 5152, 5152, 5154, 5154, 5159, 5160, 5165, 5165, 5166, 5171, 5171, 5180, 5184, 5184, 5189, 5191, 5192, 5193, 5194, 5194, 5195, 5195, 5196, 5197, 5200, 5203, 5205, 5210, 5213, 5221, 5222, 5223, 5229, 5233, 5236, 5243, 5245, 5245, 5250, 5260, 5261, 5264, 5264, 5269, 5269, 5270, 5271, 5272, 5275, 5276, 5276, 5281, 5286, 5286, 5288, 5288, 5294, 5297, 5304, 5304, 5304, 5307, 5309, 5309, 5310, 5312, 5315, 5317, 5318, 5318, 5319, 5320, 5322, 5323, 5325, 5329, 5331, 5331, 5331, 5333, 5336, 5338, 5339, 5342, 5342, 5343, 5345, 5347, 5348, 5349, 5350, 5351, 5353, 5353, 5354, 5360, 5362, 5366, 5369, 5372, 5376, 5376, 5377, 5378, 5379, 5380, 5382, 5382, 5383, 5383, 5387, 5387, 5392, 5395, 5395, 5398, 5399, 5403, 5403, 5405, 5405, 5407, 5409, 5410, 5413, 5415, 5416, 5417, 5419, 5419, 5420, 5424, 5424, 5425, 5426, 5426, 5426, 5429, 5429, 5430, 5432, 5434, 5435, 5436, 5446, 5451, 5453, 5456, 5458, 5458, 5459, 5459, 5461, 5465, 5469, 5471, 5472, 5478, 5479, 5480, 5481, 5481, 5485, 5487, 5487, 5490, 5496, 5497, 5499, 5501, 5507, 5507, 5511, 5513, 5514, 5514, 5515, 5515, 5518, 5519, 5519, 5520, 5520, 5521, 5521, 5521, 5522, 5522, 5522, 5526, 5530, 5530, 5534, 5536, 5536, 5536, 5537, 5541, 5542, 5544, 5548, 5549, 5550, 5551, 5554, 5555, 5558, 5559, 5561, 5562, 5563, 5563, 5564, 5564, 5565, 5565, 5566, 5567, 5570, 5570, 5571, 5573, 5574, 5577, 5579, 5583, 5583, 5583, 5589, 5589, 5589, 5589, 5591, 5592, 5597, 5598, 5599, 5599, 5602, 5602, 5603, 5604, 5605, 5605, 5607, 5611, 5614, 5615, 5621, 5621, 5626, 5626, 5626, 5627, 5628, 5630, 5633, 5633, 5635, 5636, 5637, 5642, 5644, 5645, 5645, 5646, 5647, 5649, 5649, 5650, 5654, 5660, 5668, 5669, 5669, 5670, 5672, 5678, 5678, 5679, 5680, 5680, 5681, 5682, 5683, 5684, 5690, 5690, 5691, 5693, 5693, 5694, 5697, 5697, 5697, 5697, 5700, 5701, 5704, 5709, 5710, 5712, 5712, 5712, 5716, 5722, 5723, 5724, 5726, 5731, 5733, 5734, 5735, 5736, 5737, 5737, 5737, 5737, 5742, 5746, 5747, 5748, 5748, 5754, 5759, 5759, 5760, 5762, 5762, 5765, 5766, 5768, 5773, 5776, 5777, 5777, 5779, 5782, 5785, 5786, 5786, 5786, 5787, 5787, 5789, 5791, 5792, 5795, 5795, 5796, 5796, 5796, 5798, 5807, 5809, 5810, 5815, 5818, 5823, 5828, 5831, 5833, 5836, 5837, 5840, 5841, 5847, 5848, 5851, 5852, 5853, 5854, 5855, 5856, 5859, 5859, 5861, 5864, 5868, 5869, 5870, 5873, 5874, 5875, 5876, 5876, 5880, 5881, 5882, 5883, 5885, 5885, 5886, 5888, 5888, 5890, 5893, 5897, 5899, 5901, 5901, 5903, 5904, 5904, 5913, 5914, 5916, 5916, 5916, 5920, 5920, 5921, 5926, 5930, 5931, 5933, 5934, 5935, 5944, 5945, 5945, 5947, 5947, 5948, 5953, 5955, 5955, 5958, 5960, 5960, 5960, 5963, 5966, 5966, 5970, 5971, 5974, 5977, 5977, 5977, 5978, 5984, 5985, 5990, 5992, 6001, 6002, 6002, 6005, 6007, 6007, 6009, 6009, 6009, 6011, 6013, 6016, 6020, 6021, 6028, 6030, 6032, 6034, 6035, 6036, 6037, 6038, 6042, 6044, 6045, 6047, 6048, 6051, 6058, 6060, 6060, 6061, 6065, 6066, 6068, 6071, 6073, 6079, 6080, 6082, 6083, 6083, 6083, 6086, 6087, 6088, 6092, 6093, 6096, 6097, 6099, 6100, 6104, 6104, 6111, 6112, 6115, 6116, 6116, 6118, 6118, 6119, 6119, 6121, 6123, 6124, 6125, 6128, 6132, 6132, 6133, 6134, 6135, 6137, 6137, 6140, 6140, 6142, 6143, 6144, 6147, 6149, 6153, 6154, 6156, 6161, 6165, 6165, 6169, 6172, 6173, 6173, 6177, 6179, 6183, 6188, 6190, 6195, 6195, 6200, 6201, 6202, 6205, 6208, 6209, 6213, 6213, 6216, 6219, 6223, 6224, 6225, 6226, 6228, 6233, 6233, 6241, 6241, 6243, 6243, 6246, 6247, 6248, 6251, 6254, 6258, 6260, 6262, 6262, 6263, 6264, 6264, 6264, 6269, 6272, 6273, 6276, 6278, 6279, 6279, 6279, 6280, 6280, 6281, 6282, 6283, 6285, 6288, 6291, 6292, 6293, 6294, 6297, 6299, 6301, 6303, 6305, 6306, 6307, 6307, 6312, 6312, 6313, 6315, 6318, 6318, 6318, 6319, 6324, 6324, 6326, 6326, 6326, 6327, 6327, 6329, 6330, 6345, 6347, 6351, 6352, 6353, 6356, 6357, 6357, 6358, 6363, 6365, 6365, 6371, 6372, 6376, 6377, 6384, 6385, 6391, 6391, 6394, 6394, 6399, 6400, 6405, 6405, 6407, 6410, 6410, 6410, 6415, 6418, 6418, 6420, 6423, 6424, 6430, 6431, 6431, 6434, 6436, 6439, 6443, 6445, 6449, 6449, 6453, 6455, 6456, 6457, 6463, 6466, 6466, 6469, 6473, 6473, 6478, 6481, 6482, 6484, 6486, 6491, 6494, 6494, 6495, 6497, 6498, 6500, 6501, 6503, 6503, 6506, 6506, 6507, 6509, 6510, 6512, 6517, 6518, 6520, 6521, 6523, 6524, 6526, 6526, 6526, 6530, 6532, 6532, 6533, 6533, 6533, 6535, 6537, 6537, 6540, 6542, 6544, 6544, 6544, 6545, 6546, 6546, 6548, 6553, 6554, 6558, 6561, 6566, 6566, 6569, 6570, 6574, 6575, 6575, 6576, 6576, 6580, 6583, 6584, 6587, 6587, 6588, 6589, 6592, 6592, 6593, 6595, 6597, 6600, 6601, 6602, 6603, 6603, 6610, 6612, 6613, 6615, 6620, 6625, 6625, 6630, 6631, 6631, 6634, 6638, 6641, 6647, 6648, 6648, 6648, 6654, 6655, 6656, 6659, 6661, 6661, 6662, 6664, 6665, 6667, 6668, 6672, 6673, 6677, 6679, 6685, 6687, 6690, 6690, 6691, 6691, 6692, 6693, 6693, 6694, 6697, 6697, 6699, 6699, 6702, 6707, 6708, 6708, 6709, 6711, 6712, 6713, 6716, 6719, 6719, 6719, 6719, 6720, 6720, 6720, 6721, 6722, 6722, 6723, 6724, 6727, 6728, 6730, 6730, 6732, 6736, 6736, 6738, 6739, 6742, 6744, 6748, 6748, 6749, 6750, 6751, 6751, 6752, 6752, 6753, 6754, 6755, 6765, 6766, 6767, 6767, 6772, 6776, 6776, 6777, 6777, 6777, 6778, 6778, 6779, 6780, 6786, 6788, 6793, 6794, 6796, 6801, 6801, 6804, 6805, 6807, 6809, 6809, 6812, 6812, 6814, 6819, 6821, 6821, 6824, 6824, 6824, 6824, 6826, 6826, 6827, 6832, 6833, 6841, 6847, 6847, 6851, 6854, 6855, 6855, 6857, 6857, 6858, 6861, 6862, 6868, 6869, 6869, 6870, 6877, 6877, 6879, 6886, 6888, 6888, 6891, 6891, 6897, 6899, 6899, 6900, 6901, 6902, 6907, 6910, 6911, 6912, 6920, 6924, 6931, 6932, 6935, 6936, 6943, 6944, 6944, 6944, 6945, 6945, 6945, 6946, 6946, 6949, 6950, 6952, 6953, 6954, 6954, 6956, 6956, 6957, 6959, 6959, 6960, 6961, 6964, 6968, 6969, 6969, 6972, 6972, 6974, 6975, 6975, 6988, 6988, 6989, 6990, 6990, 6990, 6992, 6995, 6997, 6998, 7000, 7001, 7001, 7001, 7004, 7008, 7009, 7011, 7015, 7019, 7022, 7024, 7025, 7026, 7027, 7036, 7038, 7039, 7044, 7044, 7045, 7047, 7047, 7048, 7053, 7057, 7057, 7061, 7061, 7061, 7062, 7062, 7063, 7068, 7069, 7069, 7069, 7072, 7072, 7073, 7074, 7075, 7075, 7078, 7080, 7084, 7085, 7088, 7093, 7093, 7093, 7094, 7095, 7095, 7096, 7100, 7100, 7100, 7105, 7105, 7105, 7108, 7114, 7114, 7114, 7117, 7121, 7123, 7125, 7125, 7128, 7129, 7129, 7129, 7129, 7134, 7135, 7136, 7138, 7138, 7138, 7138, 7143, 7143, 7143, 7145, 7146, 7151, 7158, 7158, 7158, 7160, 7160, 7161, 7161, 7165, 7167, 7168, 7170, 7172, 7174, 7176, 7180, 7181, 7183, 7183, 7185, 7192, 7198, 7198, 7203, 7203, 7208, 7208, 7211, 7212, 7214, 7217, 7217, 7217, 7219, 7219, 7220, 7221, 7223, 7223, 7224, 7226, 7228, 7229, 7230, 7231, 7234, 7236, 7238, 7239, 7240, 7246, 7247, 7248, 7252, 7252, 7255, 7258, 7260, 7268, 7271, 7276, 7280, 7280, 7289, 7290, 7292, 7297, 7299, 7301, 7302, 7303, 7305, 7306, 7309, 7313, 7314, 7316, 7318, 7319, 7321, 7326, 7326, 7326, 7328, 7331, 7332, 7335, 7335, 7336, 7336, 7337, 7337, 7339, 7339, 7342, 7344, 7345, 7346, 7347, 7349, 7352, 7355, 7355, 7359, 7366, 7366, 7368, 7369, 7369, 7374, 7375, 7376, 7376, 7379, 7381, 7381, 7382, 7386, 7387, 7388, 7390, 7392, 7393, 7394, 7394, 7395, 7396, 7400, 7401, 7402, 7406, 7407, 7410, 7411, 7411, 7412, 7415, 7417, 7420, 7421, 7422, 7424, 7424, 7427, 7432, 7432, 7433, 7438, 7439, 7441, 7447, 7448, 7448, 7453, 7455, 7457, 7459, 7461, 7463, 7464, 7465, 7466, 7467, 7470, 7478, 7480, 7480, 7481, 7482, 7484, 7485, 7485, 7487, 7487, 7488, 7490, 7495, 7495, 7496, 7497, 7498, 7499, 7500, 7500, 7505, 7505, 7506, 7510, 7510, 7512, 7513, 7514, 7515, 7517, 7517, 7524, 7528, 7531, 7540, 7543, 7545, 7546, 7552, 7552, 7553, 7555, 7556, 7561, 7561, 7562, 7566, 7567, 7577, 7579, 7580, 7585, 7586, 7587, 7588, 7590, 7592, 7594, 7595, 7596, 7596, 7600, 7610, 7610, 7613, 7613, 7614, 7615, 7618, 7620, 7620, 7621, 7622, 7622, 7623, 7623, 7627, 7629, 7637, 7638, 7641, 7648, 7651, 7652, 7653, 7655, 7658, 7666, 7666, 7671, 7673, 7677, 7680, 7687, 7691, 7694, 7696, 7699, 7700, 7706, 7707, 7710, 7711, 7711, 7711, 7714, 7716, 7716, 7717, 7718, 7723, 7723, 7724, 7727, 7728, 7731, 7732, 7732, 7735, 7736, 7738, 7742, 7744, 7746, 7747, 7750, 7752, 7752, 7753, 7754, 7758, 7758, 7759, 7762, 7762, 7770, 7772, 7774, 7774, 7775, 7777, 7778, 7779, 7779, 7780, 7784, 7787, 7791, 7792, 7792, 7793, 7794, 7795, 7797, 7803, 7803, 7804, 7805, 7809, 7811, 7811, 7812, 7814, 7816, 7817, 7819, 7820, 7822, 7826, 7835, 7840, 7840, 7842, 7844, 7844, 7844, 7848, 7849, 7850, 7851, 7853, 7858, 7858, 7859, 7863, 7865, 7866, 7867, 7870, 7873, 7873, 7874, 7875, 7878, 7880, 7881, 7884, 7887, 7891, 7891, 7892, 7894, 7897, 7898, 7900, 7901, 7901, 7903, 7904, 7905, 7908, 7908, 7909, 7909, 7911, 7913, 7915, 7916, 7921, 7924, 7926, 7927, 7929, 7929, 7929, 7929, 7931, 7942, 7942, 7945, 7946, 7954, 7955, 7958, 7961, 7963, 7965, 7965, 7967, 7969, 7969, 7970, 7971, 7981, 7983, 7983, 7988, 7993, 7995, 7997, 7998, 7999, 8002, 8005, 8008, 8008, 8010, 8015, 8017, 8018, 8018, 8020, 8024, 8029, 8031, 8035, 8039, 8041, 8041, 8043, 8044, 8047, 8048, 8051, 8052, 8059, 8063, 8065, 8065, 8065, 8065, 8066, 8067, 8067, 8067, 8068, 8069, 8069, 8070, 8070, 8073, 8074, 8074, 8074, 8078, 8083, 8086, 8091, 8091, 8092, 8092, 8093, 8098, 8100, 8103, 8108, 8115, 8116, 8116, 8117, 8120, 8121, 8121, 8123, 8127, 8129, 8133, 8138, 8138, 8145, 8147, 8151, 8152, 8155, 8157, 8160, 8160, 8162, 8163, 8164, 8166, 8168, 8171, 8171, 8173, 8174, 8178, 8178, 8180, 8180, 8188, 8189, 8189, 8191, 8193, 8193, 8194, 8194, 8195, 8205, 8205, 8205, 8211, 8213, 8213, 8217, 8220, 8221, 8221, 8221, 8222, 8225, 8228, 8231, 8231, 8231, 8232, 8234, 8235, 8236, 8240, 8240, 8240, 8240, 8243, 8245, 8245, 8245, 8247, 8251, 8251, 8257, 8258, 8258, 8258, 8259, 8259, 8259, 8261, 8261, 8263, 8265, 8265, 8269, 8271, 8271, 8272, 8273, 8276, 8277, 8278, 8279, 8280, 8281, 8281, 8281, 8282, 8284, 8285, 8286, 8289, 8295, 8296, 8298, 8300, 8300, 8300, 8309, 8310, 8313, 8316, 8319, 8320, 8320, 8324, 8325, 8325, 8327, 8328, 8330, 8331, 8331, 8332, 8333, 8334, 8338, 8339, 8339, 8340, 8341, 8343, 8346, 8347, 8350, 8353, 8355, 8355, 8356, 8357, 8359, 8359, 8359, 8362, 8363, 8365, 8372, 8376, 8376, 8376, 8377, 8377, 8378, 8383, 8387, 8388, 8396, 8402, 8403, 8405, 8405, 8406, 8409, 8410, 8413, 8413, 8413, 8414, 8415, 8417, 8418, 8421, 8428, 8428, 8431, 8432, 8433, 8435, 8447, 8449, 8460, 8465, 8465, 8467, 8467, 8474, 8475, 8476, 8477, 8479, 8486, 8489, 8492, 8494, 8496, 8496, 8497, 8497, 8498, 8501, 8501, 8502, 8504, 8506, 8511, 8513, 8514, 8514, 8516, 8516, 8517, 8521, 8522, 8526, 8527, 8527, 8530, 8533, 8534, 8534, 8542, 8543, 8544, 8549, 8550, 8552, 8554, 8555, 8556, 8557, 8558, 8559, 8559, 8561, 8561, 8566, 8567, 8570, 8572, 8572, 8572, 8576, 8576, 8578, 8578, 8581, 8587, 8588, 8588, 8589, 8589, 8591, 8592, 8593, 8594, 8595, 8596, 8596, 8596, 8601, 8603, 8607, 8609, 8617, 8617, 8619, 8621, 8622, 8623, 8625, 8627, 8628, 8630, 8630, 8633, 8635, 8636, 8637, 8637, 8638, 8643, 8646, 8646, 8648, 8648, 8649, 8649, 8652, 8656, 8658, 8661, 8661, 8666, 8667, 8674, 8674, 8674, 8676, 8677, 8679, 8680, 8687, 8691, 8691, 8691, 8693, 8694, 8698, 8698, 8699, 8700, 8701, 8703, 8703, 8706, 8710, 8718, 8719, 8719, 8721, 8728, 8729, 8733, 8735, 8736, 8737, 8737, 8738, 8740, 8742, 8744, 8744, 8745, 8746, 8749, 8754, 8757, 8760, 8761, 8766, 8774, 8775, 8775, 8776, 8778, 8779, 8783, 8783, 8786, 8786, 8787, 8788, 8789, 8790, 8790, 8797, 8800, 8800, 8800, 8801, 8802, 8802, 8803, 8809, 8815, 8818, 8821, 8821, 8823, 8835, 8837, 8840, 8852, 8856, 8857, 8858, 8862, 8862, 8864, 8866, 8866, 8867, 8870, 8870, 8872, 8873, 8877, 8879, 8882, 8882, 8884, 8886, 8887, 8887, 8890, 8894, 8895, 8895, 8899, 8901, 8903, 8905, 8905, 8907, 8910, 8911, 8913, 8914, 8916, 8917, 8917, 8925, 8929, 8929, 8930, 8931, 8932, 8934, 8937, 8940, 8940, 8941, 8941, 8943, 8944, 8945, 8946, 8946, 8946, 8951, 8953, 8954, 8957, 8957, 8960, 8965, 8966, 8966, 8971, 8972, 8975, 8976, 8976, 8977, 8977, 8977, 8977, 8978, 8978, 8978, 8982, 8982, 8982, 8983, 8988, 8989, 8989, 8991, 8991, 8991, 8993, 8993, 8996, 8996, 9004, 9008, 9009, 9011, 9014, 9015, 9015, 9015, 9016, 9016, 9016, 9018, 9018, 9021, 9022, 9025, 9029, 9030, 9033, 9034, 9041, 9041, 9042, 9042, 9043, 9045, 9050, 9055, 9062, 9065, 9065, 9066, 9069, 9069, 9073, 9077, 9077, 9078, 9078, 9079, 9084, 9084, 9085, 9086, 9090, 9096, 9097, 9100, 9103, 9107, 9112, 9113, 9114, 9116, 9117, 9118, 9119, 9123, 9123, 9124, 9125, 9133, 9140, 9141, 9141, 9145, 9147, 9155, 9158, 9161, 9161, 9163, 9171, 9173, 9175, 9175, 9176, 9178, 9181, 9188, 9189, 9189, 9195, 9199, 9203, 9206, 9206, 9209, 9209, 9210, 9219, 9224, 9227, 9227, 9228, 9231, 9232, 9239, 9241, 9246, 9246, 9247, 9252, 9256, 9257, 9260, 9265, 9265, 9267, 9269, 9271, 9274, 9275, 9280, 9286, 9290, 9291, 9291, 9293, 9293, 9297, 9299, 9300, 9302, 9303, 9306, 9307, 9308, 9308, 9309, 9313, 9314, 9316, 9316, 9319, 9320, 9322, 9322, 9322, 9324, 9326, 9327, 9332, 9332, 9333, 9334, 9334, 9335, 9340, 9345, 9346, 9347, 9348, 9349, 9352, 9356, 9357, 9357, 9359, 9361, 9365, 9368, 9368, 9370, 9382, 9385, 9391, 9393, 9393, 9393, 9396, 9400, 9405, 9406, 9412, 9415, 9416, 9416, 9417, 9418, 9425, 9426, 9428, 9431, 9437, 9437, 9442, 9443, 9443, 9445, 9452, 9453, 9458, 9459, 9461, 9463, 9465, 9466, 9469, 9469, 9473, 9475, 9475, 9476, 9480, 9480, 9482, 9488, 9489, 9490, 9506, 9512, 9513, 9513, 9514, 9514, 9515, 9515, 9517, 9518, 9518, 9518, 9519, 9520, 9521, 9526, 9527, 9530, 9531, 9535, 9539, 9540, 9543, 9543, 9548, 9550, 9554, 9557, 9560, 9564, 9565, 9568, 9569, 9570, 9571, 9573, 9575, 9575, 9575, 9578, 9578, 9583, 9587, 9587, 9588, 9591, 9592, 9598, 9598, 9599, 9601, 9601, 9607, 9608, 9610, 9613, 9614, 9618, 9625, 9625, 9625, 9626, 9628, 9628, 9630, 9636, 9637, 9637, 9638, 9639, 9639, 9640, 9643, 9645, 9647, 9648, 9650, 9651, 9655, 9657, 9657, 9659, 9659, 9659, 9665, 9666, 9666, 9666, 9669, 9672, 9673, 9674, 9678, 9679, 9680, 9683, 9692, 9696, 9696, 9696, 9697, 9703, 9706, 9706, 9707, 9708, 9713, 9718, 9723, 9723, 9726, 9727, 9729, 9736, 9741, 9745, 9748, 9748, 9748, 9753, 9758, 9758, 9760, 9762, 9764, 9765, 9766, 9771, 9772, 9773, 9774, 9775, 9776, 9776, 9785, 9789, 9790, 9793, 9799, 9801, 9802, 9803, 9808, 9808, 9809, 9812, 9813, 9813, 9814, 9814, 9814, 9815, 9817, 9818, 9820, 9822, 9826, 9826, 9830, 9833, 9833, 9839, 9840, 9845, 9846, 9847, 9849, 9851, 9852, 9853, 9858, 9859, 9860, 9862, 9863, 9864, 9865, 9866, 9867, 9868, 9869, 9869, 9870, 9872, 9872, 9873, 9873, 9874, 9874, 9875, 9880, 9881, 9885, 9889, 9893, 9893, 9896, 9898, 9900, 9905, 9910, 9911, 9912, 9915, 9916, 9916, 9916, 9919, 9921, 9921, 9922, 9924, 9925, 9926, 9926, 9929, 9934, 9935, 9936, 9936, 9938, 9939, 9943, 9945, 9945, 9946, 9947, 9947, 9948, 9951, 9951, 9960, 9964, 9967, 9967, 9969, 9972, 9974, 9985, 9995, 9996, 9996, 9997, 9998]

// Counting Sort
import java.util.Arrays;

public class CountingSort {
    public static void main(String[] args) {
        int[] arr = new int[5000];
        // Fill the array with random integers
        for (int i = 0; i < arr.length; i++) {
            arr[i] = (int) (Math.random() * 10000);
        }
        
        System.out.println("Before sorting: " + Arrays.toString(arr));
        
        // Sort the array using Counting Sort
        countingSort(arr);
        
        System.out.println("After sorting: " + Arrays.toString(arr));
    }
    
    public static void countingSort(int[] arr) {
        int max = Arrays.stream(arr).max().getAsInt();
        int min = Arrays.stream(arr).min().getAsInt();
        int range = max - min + 1;
        
        int[] count = new int[range];
        int[] output = new int[arr.length];
        
        // Store count of each character
        for (int i = 0; i < arr.length; i++) {
            count[arr[i] - min]++;
        }
        
        // Store cumulative count of each character
        for (int i = 1; i < count.length; i++) {
            count[i] += count[i - 1];
        }
        
        // Build the output array
        for (int i = arr.length - 1; i >= 0; i--) {
            output[count[arr[i] - min] - 1] = arr[i];
            count[arr[i] - min]--;
        }
        
        // Copy the output array to arr[], so that arr[] now contains sorted numbers
        System.arraycopy(output, 0, arr, 0, arr.length);
    }
}
CountingSort.main(null);

Before sorting: [7561, 9562, 8453, 5561, 589, 682, 8278, 9323, 6075, 5952, 3452, 2358, 7963, 2681, 553, 7967, 9970, 1620, 2851, 6689, 2089, 7880, 8884, 4263, 6421, 751, 3503, 6554, 569, 125, 4172, 2030, 7900, 8072, 1589, 4631, 7923, 303, 7742, 2490, 6760, 3763, 6429, 846, 7202, 3367, 940, 704, 226, 3071, 1121, 8323, 5002, 3824, 7367, 4471, 2392, 3776, 2225, 6488, 7737, 4096, 1209, 723, 2346, 7179, 3240, 7634, 9497, 2676, 7647, 6954, 9995, 775, 9073, 5726, 4378, 1487, 3832, 7716, 3718, 3277, 1253, 8732, 8606, 4357, 1389, 8740, 6433, 5149, 6097, 8282, 319, 1032, 3930, 3701, 9185, 322, 567, 2927, 7361, 3632, 5556, 1174, 3853, 7248, 3036, 3806, 5936, 4968, 8821, 1825, 9089, 9961, 8695, 3989, 5468, 640, 3141, 8365, 6067, 2303, 1825, 5310, 7532, 9311, 7113, 3318, 3176, 993, 9667, 8948, 9191, 8102, 730, 2132, 1227, 5684, 5098, 8579, 3611, 2486, 5968, 1679, 3293, 6686, 7869, 7361, 3276, 2628, 6712, 6679, 5786, 3517, 6599, 2555, 3695, 562, 1518, 9088, 9861, 9940, 6282, 4068, 7908, 5129, 5158, 7992, 4753, 3653, 8507, 5703, 4680, 4090, 7456, 43, 7156, 1306, 4141, 413, 5712, 5327, 367, 2970, 3231, 1986, 681, 3344, 9728, 1542, 6788, 7225, 2363, 4858, 9014, 8948, 3793, 5373, 7075, 3273, 4248, 9119, 6812, 976, 4704, 4345, 1743, 4590, 3429, 6911, 8281, 6613, 5814, 7557, 1322, 8902, 7875, 2393, 2495, 8568, 7143, 8529, 6854, 2686, 701, 2595, 5041, 1390, 9111, 1126, 6994, 6508, 6637, 8254, 207, 820, 2768, 7962, 205, 1197, 7350, 5276, 3425, 7436, 1851, 3206, 3017, 7423, 2206, 9983, 6211, 8418, 4536, 4201, 7830, 3711, 3592, 3837, 8324, 3690, 5226, 8817, 6228, 418, 8389, 5769, 4363, 5251, 9230, 7934, 6293, 9726, 9693, 2804, 4538, 963, 5689, 4997, 4894, 4189, 5404, 2136, 1838, 6611, 6588, 7027, 8416, 8863, 2761, 319, 325, 2494, 2224, 4025, 7915, 4570, 444, 7729, 1770, 3366, 5966, 6172, 7182, 2325, 2332, 8979, 379, 2991, 3662, 743, 4671, 1472, 9528, 2436, 7807, 7116, 5552, 3142, 2797, 6569, 9743, 4511, 3215, 1148, 1029, 8987, 548, 549, 5648, 6880, 5575, 1317, 9107, 6638, 7919, 4213, 6293, 7310, 7964, 632, 9940, 2108, 3119, 4585, 8195, 7245, 6062, 3388, 5253, 743, 6046, 7164, 5194, 1821, 5591, 4554, 8025, 2608, 3993, 9620, 8683, 469, 5915, 2791, 4292, 980, 8075, 6974, 2312, 8778, 9524, 8416, 2399, 5867, 1333, 789, 7760, 4776, 9646, 91, 7576, 6966, 2020, 7427, 695, 5291, 690, 6526, 2171, 2974, 8022, 2898, 8501, 567, 8761, 1987, 4405, 6669, 896, 4346, 3892, 7786, 1975, 6900, 989, 7665, 514, 717, 1002, 6664, 2792, 7329, 1467, 7272, 3767, 7629, 3060, 2795, 7095, 9636, 4626, 2356, 3331, 4009, 3252, 6893, 7253, 9097, 9824, 7630, 4954, 513, 2860, 602, 8876, 3765, 8604, 8279, 4239, 2282, 3301, 2039, 3505, 7374, 4422, 7335, 6418, 1066, 1143, 6735, 1955, 7575, 861, 4723, 5073, 4262, 7717, 2132, 5537, 8281, 1161, 7380, 8294, 897, 7423, 6311, 4892, 7422, 4450, 2374, 3240, 7101, 1325, 4100, 8657, 3897, 6483, 7425, 2595, 6106, 5143, 6238, 6694, 4, 5285, 5753, 8877, 309, 3243, 9761, 5105, 8150, 4513, 4662, 5086, 5446, 2724, 259, 2759, 3119, 9917, 9766, 2676, 9406, 4205, 9182, 1570, 3691, 6732, 9289, 308, 726, 8411, 1856, 5226, 9904, 8359, 5341, 9376, 4314, 169, 4370, 3631, 4740, 9195, 1577, 4779, 4429, 3899, 1, 2747, 1538, 6944, 9180, 1912, 7461, 7221, 8334, 2104, 906, 2284, 5544, 3354, 9559, 1758, 2759, 4667, 3435, 6220, 2607, 1234, 6622, 2761, 4484, 6310, 6994, 7996, 4225, 3746, 6722, 1636, 3747, 4621, 9903, 8893, 4512, 6790, 7479, 7984, 1388, 9250, 3773, 9784, 1553, 4219, 3426, 261, 6437, 8546, 2288, 2796, 3409, 2668, 917, 6645, 7884, 9698, 4738, 9916, 5832, 9437, 606, 227, 1314, 2104, 5584, 3912, 3585, 4409, 37, 5116, 3534, 6210, 3833, 9398, 9816, 9480, 1385, 2569, 892, 2522, 8534, 4424, 354, 1476, 1898, 8734, 9435, 8043, 9162, 5412, 2390, 7029, 7052, 8129, 7568, 9843, 2196, 810, 9413, 397, 8991, 9432, 4387, 7991, 7669, 1310, 6851, 7704, 5269, 2709, 9341, 2593, 1986, 6976, 5302, 3562, 5435, 9664, 1400, 2132, 5797, 4141, 791, 8577, 5512, 1017, 8373, 2866, 8207, 7424, 3958, 8690, 2897, 7620, 9565, 1492, 1128, 4714, 2582, 9846, 6726, 4396, 7409, 5812, 44, 5470, 4380, 3960, 1244, 8724, 6268, 622, 9992, 5206, 9462, 4665, 2215, 7346, 9040, 8552, 8041, 1487, 4388, 3802, 8919, 8426, 4759, 8088, 6057, 9307, 2221, 2152, 6760, 7836, 2828, 3497, 53, 6197, 5491, 360, 8045, 1286, 2074, 3879, 4896, 9901, 1496, 8552, 955, 6401, 5271, 1088, 5678, 3998, 1844, 5606, 9253, 1335, 2305, 8723, 9527, 9289, 654, 1561, 7776, 9033, 7633, 6945, 4157, 1332, 8324, 9134, 1237, 8740, 223, 321, 1934, 6951, 292, 2828, 6380, 8858, 6610, 8435, 761, 5090, 2691, 6605, 38, 7749, 256, 1495, 5561, 9848, 9325, 3602, 8117, 1599, 2862, 5648, 6649, 6059, 6863, 3863, 3053, 924, 5810, 5248, 3786, 260, 7686, 8562, 9785, 9838, 2386, 1791, 7200, 2404, 2284, 1711, 2772, 4673, 3955, 1743, 9366, 6164, 5622, 2796, 9103, 1056, 5750, 7999, 3829, 8190, 4398, 6356, 5237, 1055, 445, 2187, 9866, 9154, 4590, 6952, 7407, 4469, 165, 7552, 4272, 1950, 1224, 516, 8233, 893, 107, 4639, 4058, 4895, 4761, 5555, 4580, 1647, 9427, 4512, 6354, 280, 1032, 185, 4202, 3160, 7571, 6725, 4301, 1123, 4120, 3477, 1207, 5934, 6693, 1775, 228, 1483, 4120, 2074, 2888, 5663, 3352, 271, 9894, 8176, 4171, 5584, 2953, 5639, 5120, 3532, 4093, 4249, 3694, 6702, 8700, 2012, 291, 2849, 6408, 7070, 7238, 4543, 2170, 6034, 1347, 7145, 8393, 6371, 849, 2168, 7814, 9880, 5336, 1235, 5995, 111, 378, 1783, 1731, 5131, 6840, 9444, 3481, 8503, 8648, 3569, 9988, 5554, 1688, 1784, 3672, 9050, 882, 6639, 6089, 8246, 2078, 2430, 5773, 7959, 313, 3094, 113, 9769, 6284, 2719, 4581, 5769, 8391, 8643, 4566, 6362, 8592, 3394, 7370, 7548, 6502, 5780, 4490, 9839, 7646, 3330, 7228, 517, 8603, 7986, 1862, 3272, 3862, 4453, 4157, 4446, 6702, 5929, 6827, 3067, 9071, 5094, 7696, 2675, 3586, 9149, 797, 6516, 4061, 6496, 7385, 4114, 9716, 9192, 8969, 6456, 2177, 9701, 9837, 9068, 3697, 2685, 2278, 7104, 9647, 2548, 3721, 4248, 8252, 5312, 1354, 7699, 5798, 9001, 6438, 4808, 6092, 180, 7489, 3029, 8816, 5545, 8779, 3771, 2616, 6543, 8189, 2463, 5236, 1862, 6364, 1686, 4845, 7367, 7312, 1574, 3797, 5526, 9130, 1869, 8505, 6715, 2365, 2964, 6858, 2939, 2683, 9092, 7672, 411, 3973, 5396, 5006, 1234, 7782, 2052, 3901, 5983, 5082, 2822, 3049, 8366, 6757, 2485, 4243, 349, 9913, 7415, 8043, 1137, 8143, 6272, 68, 6222, 5219, 3216, 2515, 3352, 3321, 4392, 1112, 710, 8888, 9477, 8554, 8861, 1457, 4066, 1652, 2098, 3415, 5323, 935, 6696, 1528, 2953, 8237, 3278, 4296, 9817, 9929, 8034, 2717, 1745, 877, 2801, 5882, 4045, 6972, 7217, 6979, 3006, 2106, 7041, 9724, 4305, 8861, 1547, 54, 6622, 846, 9435, 2952, 8024, 8625, 7096, 9726, 4700, 462, 5284, 6734, 6482, 3756, 233, 2607, 1273, 2948, 3083, 7338, 956, 4944, 7132, 3251, 4663, 3636, 5863, 4860, 1390, 994, 5948, 1863, 2848, 3359, 8526, 7128, 9178, 8086, 8915, 9422, 4696, 7472, 9631, 8847, 8181, 4037, 4081, 1477, 2406, 3648, 8634, 8508, 557, 731, 8908, 4427, 3013, 2862, 2034, 8106, 6528, 393, 465, 567, 9307, 483, 4416, 3206, 9665, 3845, 9444, 683, 3019, 6877, 2868, 3397, 1812, 1435, 7713, 5493, 5626, 9444, 5734, 5667, 4235, 9791, 1647, 9722, 4624, 503, 9204, 5745, 4108, 61, 5959, 5097, 5619, 7930, 7687, 4950, 7923, 5806, 5251, 1052, 3099, 7976, 6474, 2574, 5955, 1218, 3019, 4436, 5220, 2171, 7649, 6357, 4340, 2810, 342, 2001, 473, 2723, 2722, 6073, 3916, 265, 8964, 1981, 6580, 3344, 7982, 7785, 7385, 4581, 6019, 3527, 4463, 4897, 1017, 8789, 8930, 4201, 106, 5300, 2647, 7787, 9406, 5805, 2866, 2276, 956, 7014, 9946, 5519, 5035, 1440, 445, 732, 7400, 206, 6779, 6314, 34, 6469, 6403, 9303, 888, 7038, 7975, 2223, 2798, 7966, 9353, 197, 4260, 8398, 2406, 7635, 5074, 5840, 2631, 1549, 8012, 5117, 7324, 1599, 3586, 2793, 4699, 5345, 8785, 8564, 7720, 876, 2189, 5255, 684, 7954, 7290, 9428, 3584, 3136, 3004, 5333, 9192, 3961, 5408, 5966, 410, 2201, 7532, 6307, 965, 6439, 4683, 5507, 785, 9773, 1218, 6712, 8499, 9344, 948, 5506, 7437, 532, 7431, 558, 8220, 186, 2286, 2927, 569, 45, 9356, 3712, 9326, 3639, 84, 3261, 4847, 7376, 750, 8982, 5883, 9270, 5380, 2947, 3892, 6834, 9069, 4957, 1294, 9020, 5242, 1501, 2619, 5752, 6908, 6123, 6723, 2641, 6404, 2138, 277, 7724, 262, 4310, 7598, 1718, 5890, 2174, 9558, 3214, 4562, 3993, 4773, 5459, 835, 6994, 9592, 1947, 1980, 6506, 9463, 3913, 2258, 3883, 3223, 3987, 5958, 687, 3552, 6778, 9982, 4507, 1376, 8945, 1467, 9, 9376, 8466, 8459, 7324, 9899, 5192, 1941, 8730, 5574, 2585, 5696, 3730, 6706, 3526, 6387, 2096, 8123, 1509, 36, 4211, 9598, 2182, 2634, 8148, 8147, 9190, 1997, 3308, 7592, 2617, 5203, 1162, 604, 7886, 917, 4669, 1114, 7971, 8775, 9265, 460, 1963, 8609, 9989, 8925, 8628, 729, 1264, 5439, 4440, 4781, 8115, 2102, 1778, 8728, 230, 6960, 4431, 1412, 3117, 7954, 4413, 1839, 3877, 3365, 6161, 5847, 2604, 9206, 1654, 6144, 4267, 2020, 2715, 4809, 87, 6306, 4831, 8343, 1889, 9423, 177, 4071, 7658, 3221, 6229, 3300, 1651, 889, 333, 1006, 7794, 9544, 9912, 4030, 813, 3932, 2601, 9754, 5568, 4299, 546, 5092, 1416, 1941, 8341, 1207, 5047, 9264, 4622, 2867, 2232, 7250, 3229, 2574, 6180, 2187, 1008, 8698, 7785, 5205, 5834, 3719, 961, 2733, 231, 3371, 4469, 3330, 3089, 22, 146, 6514, 4416, 3904, 6324, 2189, 5795, 3977, 4331, 5064, 2282, 6139, 5479, 7058, 9842, 259, 5662, 2102, 6119, 9090, 4831, 1988, 1297, 1482, 8977, 8931, 160, 9545, 2975, 387, 6033, 4383, 3673, 4335, 2255, 7885, 3944, 8690, 7055, 8647, 68, 6820, 3267, 8599, 6778, 2255, 5195, 3111, 6569, 9550, 1104, 1483, 2479, 5057, 1331, 6564, 6422, 828, 8794, 1974, 8386, 7295, 806, 2877, 5338, 5480, 8534, 1627, 2493, 7512, 3193, 2683, 3781, 4987, 6098, 2189, 2783, 8330, 3095, 6341, 212, 6723, 2554, 9252, 9076, 7400, 117, 5403, 4069, 5141, 2675, 3968, 7466, 7665, 8700, 2315, 9784, 267, 1967, 3794, 9864, 3548, 952, 579, 5617, 1353, 6742, 5751, 3696, 2156, 8178, 100, 3598, 6035, 4122, 8165, 9289, 1108, 9228, 4945, 9370, 7855, 1417, 9378, 4987, 7083, 6369, 3241, 3219, 7487, 6771, 4390, 2542, 1696, 1817, 1444, 6074, 5536, 5499, 2931, 7806, 3798, 605, 7692, 6782, 7245, 9027, 4909, 4275, 9808, 7950, 1484, 9429, 1969, 5850, 1744, 9515, 6169, 1779, 9398, 2011, 2770, 6421, 4539, 7021, 541, 3582, 9092, 231, 3977, 6384, 2576, 8529, 817, 3258, 6289, 2722, 7071, 5066, 8111, 4345, 3589, 6108, 1999, 6481, 7739, 8648, 5947, 1705, 6131, 2654, 9689, 3797, 9455, 9915, 8757, 3721, 8536, 4431, 4627, 4476, 1435, 9015, 1638, 3953, 5082, 1439, 139, 9636, 1316, 2127, 1871, 4132, 6438, 9385, 7993, 5874, 5425, 7468, 2358, 5085, 6822, 7421, 2637, 1086, 1962, 532, 9729, 3402, 2687, 9504, 1532, 5735, 4979, 2996, 572, 8874, 2071, 5065, 6284, 5849, 9483, 2196, 1780, 252, 6174, 7145, 1827, 6543, 531, 583, 3491, 9355, 7297, 8663, 3354, 7360, 1657, 7090, 5587, 6081, 9730, 9969, 3258, 3199, 485, 4803, 1235, 9342, 2682, 3367, 2770, 7149, 1893, 1863, 3450, 1476, 6871, 2757, 5562, 3993, 1552, 5016, 3149, 6174, 8873, 9060, 3000, 5678, 5221, 7709, 9679, 2448, 9815, 4599, 3310, 2553, 1629, 7165, 7290, 9696, 7536, 2089, 9361, 6646, 9307, 7341, 3538, 1394, 3800, 6415, 2295, 5773, 217, 7176, 8078, 7452, 679, 9842, 744, 9783, 5524, 6067, 2850, 7783, 2688, 3841, 7837, 2707, 1378, 955, 7105, 2114, 3786, 3181, 749, 7115, 5044, 1966, 3271, 3578, 853, 460, 9999, 9458, 4233, 5994, 2117, 6138, 7719, 1729, 8232, 7702, 4989, 163, 8217, 8370, 6370, 6387, 718, 5021, 5991, 9569, 9152, 8643, 4425, 7000, 2273, 5858, 9601, 6213, 4471, 9252, 478, 7206, 7856, 3126, 2530, 8553, 2848, 9517, 1423, 8387, 6548, 7849, 1465, 3577, 8440, 413, 8344, 8252, 1151, 5035, 1506, 5815, 9909, 5750, 87, 7003, 8126, 2057, 7768, 206, 8083, 7457, 6110, 9257, 5100, 8337, 3006, 8230, 744, 4995, 2710, 2369, 5672, 7633, 6593, 9226, 5503, 1454, 9231, 4337, 3740, 6699, 2739, 1293, 4259, 1356, 3361, 6951, 2070, 6620, 8256, 8722, 5198, 7715, 7103, 2335, 2354, 5611, 2767, 5325, 823, 8395, 7537, 3563, 6453, 4556, 6678, 5626, 2984, 4290, 8975, 2512, 1084, 9097, 4775, 8287, 8391, 4380, 5592, 600, 651, 4545, 5804, 8706, 577, 5198, 6160, 596, 5464, 2407, 877, 196, 6796, 4744, 4964, 143, 5060, 9820, 6054, 5654, 836, 3383, 5523, 178, 8863, 5683, 6965, 4140, 5202, 6781, 6190, 3901, 8908, 9766, 5811, 9280, 8680, 8392, 9267, 4458, 1843, 3602, 3597, 8897, 7721, 1565, 7704, 2012, 9954, 4430, 2958, 7804, 2657, 3784, 6006, 3348, 3430, 6000, 9419, 8150, 2196, 8096, 4435, 9696, 8588, 2508, 1445, 4251, 2189, 9264, 8123, 920, 9303, 4467, 2133, 1311, 7147, 4672, 5182, 6752, 1349, 7797, 7897, 9948, 5470, 2542, 424, 8213, 1893, 9918, 1998, 944, 1882, 2485, 3787, 4917, 8860, 9142, 3266, 7123, 3036, 5925, 5073, 6385, 7397, 6149, 2876, 1785, 4770, 6453, 9093, 8068, 3171, 8841, 4516, 5599, 1995, 2625, 7825, 5218, 4708, 4357, 5811, 6371, 4680, 8267, 8690, 282, 9524, 4539, 1348, 8604, 5923, 7803, 539, 1981, 1256, 3647, 151, 2264, 581, 6670, 1456, 6740, 7525, 9595, 2968, 2665, 5425, 9334, 4987, 5632, 764, 2514, 7208, 5882, 4315, 9965, 3879, 2493, 6730, 6922, 9891, 6618, 4355, 3302, 2949, 1386, 7923, 6293, 1457, 7926, 1518, 5744, 5173, 4067, 1655, 1310, 5785, 4711, 6704, 9218, 7598, 622, 4972, 5598, 4275, 5416, 5722, 2846, 6185, 8933, 1184, 5219, 4350, 8814, 9157, 9969, 1174, 1149, 5199, 727, 5215, 5319, 612, 547, 7084, 7815, 7409, 3056, 6244, 4724, 4300, 1491, 3943, 2823, 8353, 7052, 5826, 4787, 5447, 9962, 8846, 4862, 8867, 8918, 1042, 7577, 9506, 7166, 9455, 3512, 2972, 6378, 1007, 2992, 8645, 2694, 3525, 663, 3204, 2826, 9238, 1363, 6479, 1950, 1079, 414, 625, 9284, 2900, 9564, 4541, 1690, 8311, 3117, 4244, 420, 9278, 7534, 6455, 1228, 4837, 1731, 7062, 3441, 2325, 4631, 8293, 9336, 8383, 1154, 8481, 1143, 4645, 7726, 6084, 9388, 3521, 3687, 5291, 2899, 2753, 5460, 3968, 7774, 3545, 6307, 5976, 9892, 5972, 5570, 8956, 3134, 7101, 7901, 5554, 3360, 1814, 4698, 780, 6446, 3655, 7137, 676, 7157, 3197, 2610, 7808, 4511, 4422, 4118, 7228, 8421, 5352, 5217, 2501, 1866, 7839, 1510, 5139, 2622, 2764, 3330, 2386, 8671, 1192, 3277, 7637, 1798, 9013, 6559, 5028, 4614, 2500, 1720, 4680, 7256, 4850, 4266, 7971, 1355, 9255, 5946, 2775, 525, 2372, 7986, 7123, 8566, 3113, 7472, 5929, 8870, 5642, 2236, 9574, 1103, 2156, 1096, 4946, 4125, 603, 3123, 9307, 7338, 4804, 1712, 4801, 6162, 9649, 6661, 6792, 1200, 1995, 237, 2319, 4767, 8686, 1216, 5929, 2966, 6727, 4305, 8882, 6224, 7054, 992, 4327, 6332, 2568, 1897, 5394, 3389, 3150, 9976, 5387, 1811, 5226, 8573, 9228, 541, 1104, 8239, 3170, 8988, 3800, 1461, 5384, 6809, 6362, 5038, 3525, 2686, 784, 5680, 6581, 4453, 536, 5597, 7452, 568, 2464, 1350, 9513, 799, 8348, 1014, 5184, 2217, 3765, 1863, 6994, 5104, 2053, 3181, 1954, 2238, 4192, 6565, 8220, 4150, 1158, 9150, 8927, 2421, 3939, 3528, 1873, 2859, 7823, 1852, 5284, 494, 1774, 571, 9290, 8701, 765, 6582, 9917, 5519, 8807, 5185, 7436, 1207, 3035, 5160, 3721, 2463, 4742, 6541, 3888, 354, 1512, 2199, 5966, 975, 5703, 5238, 8579, 131, 8474, 371, 712, 5930, 5252, 8947, 9510, 6059, 8085, 4103, 1751, 9753, 2691, 4634, 2163, 7962, 3157, 3609, 7051, 9085, 5246, 503, 4851, 1779, 39, 3671, 6183, 810, 3252, 3350, 4710, 6702, 1987, 4091, 6702, 5003, 9910, 9461, 1585, 6430, 3853, 1219, 7953, 4814, 9757, 9746, 9516, 5833, 3464, 2472, 3302, 5850, 2413, 2256, 8060, 6802, 7528, 8269, 4233, 81, 732, 7757, 8177, 9595, 2422, 8281, 2322, 1810, 4947, 6509, 9902, 8447, 2721, 1419, 7542, 5750, 6910, 6944, 1530, 2744, 2810, 1470, 3888, 9747, 1041, 9370, 2542, 7554, 9428, 2805, 5784, 7178, 1070, 397, 5005, 9786, 5515, 3054, 1272, 6584, 4181, 6227, 652, 8793, 8190, 2180, 436, 8557, 6671, 5484, 3398, 2683, 6221, 9859, 48, 2421, 7702, 4751, 9491, 4142, 4851, 5579, 7917, 7769, 272, 2457, 47, 2048, 8304, 8373, 2905, 8363, 984, 9309, 3174, 7683, 2852, 5599, 9104, 8460, 2737, 5906, 5434, 6802, 5773, 2689, 5130, 4092, 6924, 714, 4850, 1382, 8061, 8267, 2027, 4340, 4238, 4065, 194, 7314, 1242, 1563, 5753, 151, 5708, 6335, 3791, 6840, 1142, 1525, 2718, 715, 8037, 975, 7538, 7022, 3952, 9562, 9358, 9967, 9868, 5555, 4403, 8025, 2468, 304, 9226, 8237, 8066, 6488, 92, 7521, 2820, 7321, 3555, 6589, 5623, 5586, 2144, 9976, 4571, 3202, 3801, 3892, 5288, 9134, 6153, 2137, 9532, 5897, 7115, 9161, 5517, 2625, 1362, 8488, 7126, 5769, 8236, 4204, 7855, 6831, 351, 2971, 6682, 227, 3777, 4118, 7342, 3373, 39, 5769, 9482, 5392, 7379, 5671, 50, 451, 3734, 6420, 5936, 6686, 6711, 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5442, 992, 8297, 2215, 5197, 9173, 892, 4471, 4228, 2848, 6137, 9663, 9275, 3117, 8589, 5188, 8285, 9483, 1919, 6421, 5510, 8804, 415, 6765, 2835, 7163, 9960, 1954, 1160, 4912, 3899, 12, 3324, 5044, 7047, 4620, 519, 304, 6724, 6290, 7454, 5019, 3126, 2714, 7626, 3458, 2641, 6918, 8966, 7770, 6744, 9452, 1850, 4986, 6043, 8742, 6044, 4421, 3691, 1938, 439, 3908, 4933, 7134, 9673, 5725, 9847, 6647, 4650, 848, 4504, 222, 9810, 3182, 1681, 6469, 8557, 3815, 6062, 630, 9724, 9020, 401, 6848]
After sorting: [1, 1, 2, 2, 4, 6, 9, 11, 12, 12, 15, 15, 18, 20, 22, 23, 24, 24, 25, 27, 27, 33, 34, 34, 36, 37, 38, 39, 39, 43, 44, 45, 47, 48, 49, 50, 50, 53, 54, 61, 68, 68, 72, 73, 81, 82, 84, 87, 87, 87, 90, 91, 92, 92, 98, 100, 100, 103, 106, 107, 111, 112, 113, 117, 119, 122, 123, 125, 131, 139, 143, 144, 146, 149, 151, 151, 153, 157, 159, 160, 163, 164, 165, 166, 169, 175, 177, 177, 178, 178, 180, 185, 186, 194, 194, 196, 197, 205, 206, 206, 207, 212, 217, 217, 220, 222, 223, 226, 227, 227, 228, 229, 229, 230, 231, 231, 233, 234, 237, 238, 244, 245, 246, 248, 252, 256, 256, 257, 259, 259, 260, 261, 262, 265, 267, 271, 272, 276, 277, 277, 278, 278, 280, 282, 282, 291, 291, 291, 292, 296, 297, 303, 304, 304, 305, 307, 308, 309, 313, 315, 317, 319, 319, 321, 322, 323, 325, 326, 333, 337, 340, 342, 343, 349, 351, 351, 354, 354, 357, 360, 362, 366, 367, 371, 375, 376, 376, 376, 378, 379, 381, 384, 384, 387, 393, 397, 397, 401, 401, 405, 406, 409, 410, 411, 413, 413, 414, 415, 418, 420, 424, 425, 433, 433, 436, 436, 438, 439, 443, 444, 445, 445, 446, 451, 453, 458, 459, 460, 460, 462, 465, 469, 471, 473, 474, 474, 476, 478, 483, 485, 487, 487, 488, 490, 494, 494, 496, 497, 503, 503, 503, 513, 514, 515, 516, 517, 519, 519, 525, 531, 532, 532, 532, 533, 534, 536, 539, 541, 541, 546, 547, 547, 548, 549, 553, 554, 557, 558, 558, 560, 561, 562, 564, 565, 566, 567, 567, 567, 568, 569, 569, 569, 571, 572, 573, 575, 577, 579, 580, 581, 583, 586, 587, 588, 588, 589, 590, 593, 596, 597, 600, 601, 602, 603, 604, 605, 606, 608, 612, 612, 622, 622, 622, 625, 626, 627, 627, 628, 630, 630, 632, 640, 641, 645, 646, 647, 651, 652, 654, 654, 656, 660, 660, 663, 664, 666, 676, 676, 679, 681, 682, 682, 683, 684, 686, 686, 687, 690, 693, 694, 695, 701, 704, 708, 709, 710, 712, 713, 713, 714, 715, 717, 718, 719, 722, 722, 722, 723, 726, 727, 729, 730, 731, 731, 731, 732, 732, 733, 741, 743, 743, 744, 744, 747, 748, 749, 750, 751, 752, 757, 761, 764, 765, 766, 769, 775, 779, 780, 781, 784, 785, 789, 791, 795, 797, 799, 800, 801, 806, 807, 810, 810, 813, 813, 817, 820, 823, 828, 831, 832, 835, 836, 840, 843, 846, 846, 846, 846, 848, 849, 853, 854, 858, 860, 861, 868, 874, 876, 877, 877, 880, 880, 882, 883, 888, 889, 891, 892, 892, 893, 894, 896, 897, 899, 902, 902, 904, 906, 907, 912, 917, 917, 920, 922, 924, 933, 935, 936, 940, 944, 948, 952, 955, 955, 956, 956, 961, 962, 963, 965, 975, 975, 976, 978, 978, 980, 984, 986, 986, 986, 987, 989, 992, 992, 993, 994, 997, 1000, 1001, 1002, 1005, 1006, 1007, 1007, 1008, 1009, 1009, 1009, 1009, 1010, 1014, 1014, 1017, 1017, 1021, 1024, 1025, 1025, 1029, 1032, 1032, 1041, 1042, 1049, 1052, 1055, 1056, 1066, 1070, 1070, 1070, 1071, 1072, 1079, 1084, 1086, 1088, 1091, 1094, 1095, 1096, 1099, 1101, 1103, 1104, 1104, 1105, 1108, 1109, 1109, 1110, 1112, 1114, 1118, 1121, 1123, 1124, 1126, 1128, 1129, 1130, 1137, 1142, 1142, 1143, 1143, 1146, 1148, 1149, 1151, 1151, 1153, 1154, 1155, 1158, 1158, 1160, 1161, 1162, 1165, 1167, 1171, 1174, 1174, 1177, 1180, 1180, 1181, 1183, 1184, 1185, 1192, 1197, 1197, 1200, 1207, 1207, 1207, 1209, 1212, 1216, 1218, 1218, 1218, 1219, 1223, 1224, 1227, 1228, 1231, 1234, 1234, 1234, 1235, 1235, 1237, 1242, 1244, 1250, 1250, 1253, 1256, 1257, 1258, 1260, 1262, 1264, 1272, 1273, 1276, 1283, 1286, 1290, 1292, 1293, 1294, 1297, 1297, 1301, 1306, 1307, 1307, 1309, 1310, 1310, 1311, 1314, 1316, 1316, 1317, 1322, 1324, 1325, 1331, 1332, 1333, 1335, 1338, 1345, 1347, 1348, 1348, 1349, 1350, 1353, 1353, 1353, 1354, 1354, 1355, 1355, 1356, 1362, 1363, 1363, 1373, 1373, 1376, 1377, 1378, 1379, 1380, 1382, 1382, 1383, 1384, 1384, 1385, 1386, 1388, 1389, 1390, 1390, 1391, 1391, 1394, 1397, 1400, 1400, 1412, 1416, 1417, 1419, 1423, 1424, 1431, 1435, 1435, 1437, 1439, 1440, 1440, 1441, 1444, 1445, 1445, 1446, 1453, 1454, 1456, 1457, 1457, 1461, 1461, 1465, 1467, 1467, 1467, 1470, 1472, 1474, 1474, 1476, 1476, 1477, 1478, 1478, 1478, 1480, 1482, 1483, 1483, 1484, 1487, 1487, 1487, 1488, 1488, 1491, 1492, 1495, 1496, 1498, 1501, 1506, 1506, 1509, 1510, 1512, 1515, 1516, 1518, 1518, 1519, 1525, 1528, 1529, 1529, 1530, 1532, 1534, 1534, 1538, 1542, 1547, 1549, 1550, 1551, 1552, 1552, 1553, 1557, 1560, 1561, 1563, 1563, 1565, 1568, 1570, 1573, 1574, 1575, 1575, 1576, 1577, 1581, 1584, 1585, 1589, 1594, 1594, 1599, 1599, 1599, 1604, 1605, 1607, 1607, 1614, 1616, 1617, 1619, 1620, 1621, 1625, 1625, 1627, 1627, 1627, 1629, 1635, 1636, 1638, 1647, 1647, 1651, 1651, 1652, 1654, 1655, 1657, 1659, 1662, 1668, 1669, 1669, 1679, 1681, 1682, 1686, 1688, 1690, 1691, 1696, 1703, 1705, 1710, 1711, 1712, 1712, 1718, 1720, 1722, 1729, 1730, 1730, 1731, 1731, 1733, 1737, 1738, 1743, 1743, 1744, 1744, 1745, 1751, 1751, 1751, 1751, 1754, 1757, 1758, 1758, 1759, 1760, 1760, 1768, 1770, 1774, 1775, 1775, 1777, 1778, 1779, 1779, 1780, 1783, 1784, 1785, 1791, 1794, 1797, 1798, 1803, 1807, 1809, 1810, 1810, 1811, 1812, 1814, 1817, 1817, 1821, 1821, 1825, 1825, 1826, 1827, 1828, 1829, 1830, 1838, 1838, 1839, 1842, 1843, 1844, 1847, 1850, 1851, 1852, 1855, 1856, 1862, 1862, 1863, 1863, 1863, 1866, 1869, 1871, 1873, 1878, 1882, 1885, 1887, 1889, 1893, 1893, 1897, 1897, 1898, 1899, 1899, 1902, 1903, 1912, 1919, 1934, 1937, 1938, 1940, 1941, 1941, 1943, 1946, 1947, 1950, 1950, 1954, 1954, 1955, 1956, 1962, 1963, 1966, 1967, 1967, 1969, 1974, 1975, 1976, 1978, 1980, 1981, 1981, 1983, 1986, 1986, 1987, 1987, 1988, 1995, 1995, 1997, 1998, 1999, 2001, 2008, 2011, 2012, 2012, 2012, 2013, 2014, 2020, 2020, 2021, 2022, 2022, 2025, 2027, 2030, 2034, 2035, 2037, 2039, 2041, 2046, 2047, 2048, 2052, 2053, 2053, 2054, 2057, 2059, 2065, 2070, 2071, 2074, 2074, 2074, 2078, 2081, 2089, 2089, 2096, 2098, 2102, 2102, 2104, 2104, 2104, 2106, 2108, 2108, 2111, 2112, 2114, 2117, 2117, 2118, 2126, 2127, 2131, 2132, 2132, 2132, 2133, 2133, 2136, 2137, 2138, 2138, 2144, 2147, 2151, 2152, 2156, 2156, 2157, 2160, 2161, 2163, 2168, 2170, 2171, 2171, 2172, 2174, 2175, 2177, 2179, 2180, 2181, 2182, 2182, 2184, 2187, 2187, 2189, 2189, 2189, 2189, 2193, 2195, 2196, 2196, 2196, 2196, 2199, 2201, 2206, 2209, 2213, 2215, 2215, 2215, 2217, 2221, 2221, 2223, 2224, 2225, 2229, 2232, 2236, 2236, 2237, 2238, 2248, 2248, 2249, 2255, 2255, 2256, 2258, 2263, 2264, 2264, 2270, 2270, 2272, 2272, 2273, 2274, 2276, 2278, 2280, 2280, 2281, 2282, 2282, 2282, 2284, 2284, 2286, 2287, 2288, 2290, 2295, 2295, 2297, 2298, 2302, 2303, 2303, 2305, 2307, 2308, 2312, 2315, 2319, 2322, 2325, 2325, 2327, 2329, 2332, 2333, 2334, 2335, 2335, 2337, 2338, 2342, 2345, 2346, 2354, 2354, 2356, 2358, 2358, 2363, 2365, 2369, 2372, 2372, 2374, 2386, 2386, 2390, 2392, 2393, 2394, 2397, 2399, 2399, 2404, 2406, 2406, 2407, 2410, 2412, 2413, 2419, 2421, 2421, 2422, 2427, 2430, 2436, 2438, 2443, 2443, 2448, 2449, 2451, 2455, 2457, 2457, 2459, 2460, 2461, 2463, 2463, 2464, 2465, 2466, 2468, 2472, 2479, 2482, 2485, 2485, 2485, 2486, 2490, 2493, 2493, 2494, 2495, 2495, 2500, 2501, 2508, 2512, 2514, 2515, 2519, 2522, 2522, 2527, 2530, 2531, 2531, 2532, 2542, 2542, 2542, 2542, 2544, 2547, 2548, 2553, 2553, 2554, 2554, 2555, 2568, 2568, 2569, 2574, 2574, 2576, 2581, 2582, 2585, 2591, 2593, 2595, 2595, 2599, 2601, 2604, 2606, 2606, 2607, 2607, 2608, 2610, 2611, 2612, 2616, 2617, 2619, 2621, 2622, 2624, 2625, 2625, 2625, 2628, 2630, 2631, 2631, 2632, 2634, 2636, 2636, 2637, 2641, 2641, 2646, 2647, 2654, 2657, 2664, 2665, 2665, 2665, 2668, 2672, 2675, 2675, 2675, 2676, 2676, 2678, 2679, 2681, 2682, 2683, 2683, 2683, 2683, 2685, 2686, 2686, 2687, 2688, 2688, 2689, 2689, 2691, 2691, 2694, 2705, 2707, 2709, 2710, 2712, 2714, 2715, 2717, 2718, 2719, 2721, 2722, 2722, 2723, 2724, 2732, 2733, 2733, 2737, 2737, 2739, 2744, 2746, 2747, 2750, 2750, 2752, 2753, 2754, 2756, 2757, 2759, 2759, 2761, 2761, 2762, 2764, 2765, 2767, 2768, 2770, 2770, 2771, 2771, 2772, 2773, 2775, 2775, 2778, 2778, 2783, 2791, 2792, 2793, 2795, 2795, 2795, 2796, 2796, 2797, 2798, 2799, 2799, 2800, 2801, 2801, 2802, 2804, 2805, 2806, 2807, 2807, 2810, 2810, 2820, 2820, 2822, 2823, 2824, 2826, 2828, 2828, 2829, 2830, 2833, 2835, 2839, 2842, 2844, 2846, 2847, 2848, 2848, 2848, 2848, 2849, 2850, 2851, 2852, 2852, 2859, 2860, 2861, 2862, 2862, 2866, 2866, 2867, 2868, 2868, 2871, 2876, 2877, 2882, 2884, 2888, 2888, 2891, 2892, 2894, 2895, 2897, 2898, 2899, 2899, 2900, 2903, 2905, 2907, 2910, 2914, 2915, 2917, 2918, 2927, 2927, 2927, 2931, 2932, 2938, 2939, 2947, 2948, 2949, 2952, 2953, 2953, 2955, 2958, 2964, 2965, 2966, 2968, 2970, 2971, 2972, 2974, 2975, 2977, 2981, 2984, 2985, 2988, 2988, 2991, 2992, 2993, 2994, 2996, 3000, 3000, 3002, 3003, 3004, 3006, 3006, 3007, 3010, 3011, 3013, 3015, 3017, 3019, 3019, 3029, 3035, 3036, 3036, 3038, 3040, 3040, 3044, 3047, 3049, 3050, 3052, 3053, 3054, 3056, 3060, 3060, 3062, 3064, 3065, 3066, 3066, 3067, 3068, 3069, 3071, 3071, 3074, 3075, 3078, 3079, 3082, 3083, 3084, 3088, 3089, 3093, 3094, 3095, 3096, 3098, 3099, 3103, 3110, 3111, 3113, 3114, 3115, 3115, 3117, 3117, 3117, 3119, 3119, 3120, 3123, 3126, 3126, 3129, 3129, 3129, 3131, 3133, 3134, 3136, 3136, 3139, 3141, 3142, 3144, 3147, 3149, 3150, 3151, 3155, 3157, 3160, 3160, 3164, 3170, 3171, 3173, 3174, 3175, 3176, 3179, 3181, 3181, 3182, 3186, 3193, 3197, 3199, 3201, 3202, 3204, 3204, 3206, 3206, 3206, 3214, 3214, 3215, 3216, 3216, 3219, 3220, 3221, 3223, 3225, 3225, 3229, 3231, 3231, 3232, 3238, 3238, 3240, 3240, 3241, 3243, 3246, 3247, 3251, 3252, 3252, 3252, 3254, 3258, 3258, 3259, 3261, 3262, 3266, 3267, 3271, 3272, 3272, 3273, 3275, 3276, 3277, 3277, 3278, 3282, 3285, 3285, 3288, 3290, 3290, 3291, 3293, 3295, 3298, 3300, 3301, 3302, 3302, 3303, 3308, 3308, 3310, 3316, 3318, 3321, 3324, 3324, 3330, 3330, 3330, 3331, 3333, 3339, 3339, 3344, 3344, 3348, 3350, 3350, 3350, 3352, 3352, 3353, 3354, 3354, 3354, 3359, 3360, 3360, 3361, 3363, 3365, 3366, 3366, 3367, 3367, 3368, 3369, 3371, 3371, 3373, 3375, 3381, 3383, 3383, 3387, 3388, 3388, 3389, 3390, 3394, 3396, 3397, 3398, 3401, 3402, 3409, 3415, 3415, 3416, 3424, 3425, 3425, 3426, 3428, 3429, 3430, 3430, 3435, 3435, 3435, 3435, 3441, 3441, 3447, 3450, 3452, 3453, 3454, 3458, 3461, 3464, 3468, 3473, 3475, 3477, 3481, 3488, 3491, 3493, 3494, 3495, 3495, 3496, 3497, 3498, 3499, 3499, 3500, 3503, 3503, 3505, 3506, 3507, 3512, 3517, 3520, 3521, 3522, 3524, 3525, 3525, 3526, 3527, 3528, 3528, 3532, 3534, 3535, 3538, 3542, 3543, 3545, 3548, 3550, 3552, 3552, 3552, 3554, 3555, 3562, 3563, 3563, 3569, 3572, 3573, 3577, 3578, 3578, 3578, 3582, 3582, 3584, 3584, 3585, 3586, 3586, 3589, 3590, 3591, 3592, 3597, 3598, 3602, 3602, 3608, 3609, 3611, 3612, 3617, 3621, 3631, 3632, 3634, 3636, 3639, 3646, 3646, 3647, 3647, 3648, 3653, 3653, 3655, 3656, 3658, 3662, 3667, 3671, 3672, 3673, 3676, 3680, 3681, 3681, 3687, 3690, 3690, 3691, 3691, 3692, 3694, 3694, 3695, 3696, 3697, 3701, 3703, 3711, 3712, 3715, 3718, 3719, 3720, 3721, 3721, 3721, 3723, 3726, 3727, 3729, 3729, 3730, 3731, 3734, 3740, 3742, 3746, 3747, 3748, 3752, 3756, 3763, 3763, 3765, 3765, 3767, 3768, 3769, 3771, 3773, 3774, 3775, 3776, 3777, 3779, 3781, 3784, 3784, 3784, 3786, 3786, 3787, 3790, 3791, 3793, 3794, 3795, 3797, 3797, 3798, 3800, 3800, 3801, 3802, 3806, 3811, 3815, 3815, 3821, 3824, 3826, 3826, 3829, 3829, 3832, 3833, 3834, 3837, 3840, 3841, 3841, 3845, 3853, 3853, 3854, 3856, 3857, 3857, 3859, 3862, 3862, 3863, 3863, 3868, 3877, 3879, 3879, 3883, 3885, 3888, 3888, 3892, 3892, 3892, 3894, 3897, 3899, 3899, 3901, 3901, 3901, 3901, 3903, 3903, 3904, 3907, 3908, 3909, 3909, 3912, 3912, 3913, 3916, 3930, 3931, 3931, 3932, 3935, 3938, 3939, 3943, 3943, 3944, 3951, 3952, 3953, 3955, 3958, 3960, 3960, 3961, 3966, 3968, 3968, 3970, 3973, 3977, 3977, 3978, 3982, 3982, 3984, 3987, 3988, 3989, 3993, 3993, 3993, 3993, 3993, 3998, 4000, 4007, 4009, 4010, 4017, 4023, 4025, 4030, 4033, 4037, 4037, 4038, 4041, 4045, 4050, 4053, 4058, 4061, 4063, 4065, 4066, 4067, 4068, 4068, 4069, 4069, 4070, 4071, 4078, 4081, 4081, 4083, 4090, 4091, 4092, 4093, 4096, 4096, 4100, 4101, 4102, 4103, 4108, 4113, 4114, 4117, 4118, 4118, 4118, 4119, 4120, 4120, 4120, 4122, 4125, 4126, 4131, 4132, 4132, 4140, 4140, 4141, 4141, 4142, 4146, 4148, 4148, 4150, 4151, 4157, 4157, 4162, 4168, 4171, 4172, 4172, 4181, 4184, 4189, 4190, 4191, 4192, 4193, 4198, 4198, 4201, 4201, 4202, 4204, 4205, 4208, 4208, 4210, 4211, 4213, 4215, 4217, 4219, 4220, 4220, 4225, 4225, 4228, 4230, 4233, 4233, 4235, 4236, 4236, 4237, 4238, 4239, 4241, 4243, 4244, 4248, 4248, 4248, 4249, 4249, 4251, 4253, 4254, 4256, 4259, 4260, 4262, 4262, 4263, 4263, 4265, 4266, 4267, 4272, 4275, 4275, 4287, 4290, 4292, 4293, 4295, 4296, 4299, 4299, 4300, 4301, 4303, 4305, 4305, 4305, 4307, 4310, 4310, 4312, 4314, 4314, 4315, 4315, 4323, 4327, 4331, 4335, 4335, 4337, 4338, 4340, 4340, 4344, 4345, 4345, 4345, 4346, 4350, 4351, 4352, 4355, 4357, 4357, 4357, 4358, 4363, 4368, 4370, 4373, 4375, 4378, 4380, 4380, 4383, 4387, 4388, 4390, 4391, 4392, 4392, 4392, 4393, 4394, 4396, 4396, 4398, 4401, 4403, 4403, 4405, 4409, 4413, 4416, 4416, 4420, 4421, 4421, 4422, 4422, 4424, 4425, 4427, 4429, 4429, 4430, 4431, 4431, 4432, 4435, 4436, 4436, 4439, 4440, 4446, 4446, 4450, 4453, 4453, 4455, 4458, 4463, 4467, 4469, 4469, 4471, 4471, 4471, 4472, 4475, 4476, 4482, 4484, 4486, 4488, 4490, 4490, 4496, 4500, 4504, 4504, 4507, 4511, 4511, 4512, 4512, 4513, 4516, 4521, 4527, 4532, 4536, 4536, 4538, 4539, 4539, 4541, 4541, 4543, 4545, 4548, 4549, 4554, 4556, 4562, 4566, 4568, 4568, 4570, 4571, 4576, 4576, 4578, 4580, 4581, 4581, 4581, 4583, 4585, 4585, 4588, 4589, 4590, 4590, 4591, 4598, 4599, 4603, 4612, 4614, 4617, 4620, 4621, 4621, 4622, 4623, 4624, 4626, 4627, 4631, 4631, 4634, 4634, 4636, 4637, 4639, 4644, 4644, 4645, 4648, 4648, 4650, 4651, 4655, 4662, 4663, 4663, 4664, 4665, 4667, 4667, 4669, 4671, 4672, 4673, 4676, 4680, 4680, 4680, 4683, 4685, 4690, 4696, 4698, 4699, 4700, 4704, 4706, 4708, 4710, 4711, 4714, 4715, 4716, 4723, 4724, 4726, 4727, 4727, 4729, 4735, 4738, 4738, 4740, 4742, 4744, 4748, 4751, 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// Build Your Own Hashmap
import java.util.HashMap;
import java.util.Map;
import java.util.Random;

public class HashMap {
    public static void main(String[] args) {
        // Create a HashMap with 5000 records
        Map<Integer, Integer> map = new HashMap<>();
        Random random = new Random();
        for (int i = 0; i < 5000; i++) {
            map.put(random.nextInt(10000), random.nextInt(10000));
        }
        
        // Search for 100 random keys
        for (int i = 0; i < 100; i++) {
            int key = random.nextInt(10000);
            if (map.containsKey(key)) {
                System.out.println("Value for key " + key + ": " + map.get(key));
            } else {
                System.out.println("Key " + key + " not found in map");
            }
        }
    }
}
HashMap.main(null);


// Try and figure out what this Error means and how to solve it
// cannot infer type arguments for HashMap
 // reason: cannot use '<>' with non-generic class HashMap