largest_rectangle_in_histogram_test.go

package grind75

import "testing"

func Test_largestRectangleArea(t *testing.T) {
	type args struct {
		heights []int
	}
	tests := []struct {
		name string
		args args
		want int
	}{
		{
			args: args{
				heights: []int{2, 1, 0, 2},
			},
			want: 2,
		},
		{
			args: args{
				heights: []int{2, 1, 5, 6, 2, 3},
			},
			want: 10,
		},
		{
			args: args{
				heights: []int{2, 1, 5, 6, 4, 3},
			},
			want: 12,
		},
		{
			args: args{
				heights: []int{2, 4},
			},
			want: 4,
		},
		{
			args: args{
				heights: []int{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1},
			},
			want: 13,
		},
	}
	for _, tt := range tests {
		t.Run(tt.name, func(t *testing.T) {
			if got := largestRectangleArea(tt.args.heights); got != tt.want {
				t.Errorf("largestRectangleArea() = %v, want %v", got, tt.want)
			}
			if got := largestRectangleArea1(tt.args.heights); got != tt.want {
				t.Errorf("largestRectangleArea1() = %v, want %v", got, tt.want)
			}
		})
	}
}

func Test_largestRectangleArea2(t *testing.T) {
	type args struct {
		heights []int
	}
	tests := []struct {
		name string
		args args
		want int
	}{
		{
			args: args{
				heights: []int{2, 1, 0, 2},
			},
			want: 2,
		},
		{
			args: args{
				heights: []int{2, 1, 5, 6, 2, 3},
			},
			want: 10,
		},
		{
			args: args{
				heights: []int{2, 1, 5, 6, 4, 3},
			},
			want: 12,
		},
		{
			args: args{
				heights: []int{2, 4},
			},
			want: 4,
		},
		{
			args: args{
				heights: []int{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1},
			},
			want: 13,
		},
		{
			args: args{
				heights: []int{6587, 2647, 1545, 6248, 2131, 7443, 2877, 5469, 9625, 5130, 5704, 8636, 858, 7672, 7034, 7418, 2003, 1076, 8020, 8131, 5722, 3285, 2484, 9667, 5818, 9579, 425, 5775, 4072, 9963, 3207, 642, 5472, 2948, 4962, 5847, 2492, 7692, 6375, 6578, 6851, 296, 7435, 6948, 5887, 9107, 4483, 5698, 672, 1154, 80, 4879, 684, 2919, 6853, 5871, 5152, 6570, 7022, 8693, 4690, 1759, 543, 9798, 8944, 7176, 7232, 7571, 5442, 1735, 128, 5823, 3575, 6337, 8406, 2457, 8812, 4276, 1462, 7514, 3861, 9329, 6148, 7826, 1098, 1796, 2959, 7149, 8050, 5204, 6456, 1796, 9071, 5971, 9365, 6994, 2681, 2455, 5919, 3106, 6419, 7611, 4298, 6278, 2320, 8219, 22, 5431, 5157, 3838, 2323, 5118, 2262, 2009, 5362, 3272, 2869, 5376, 9138, 4260, 9460, 9891, 1285, 689, 5043, 3170, 4198, 6053, 3980, 5303, 2830, 3071, 8173, 895, 2897, 6822, 2369, 6473, 5288, 9859, 515, 7261, 6850, 7492, 7864, 8421, 7143, 9980, 6037, 372, 3212, 4998, 7776, 3822, 2231, 443, 7133, 8272, 8342, 5962, 4019, 4581, 3635, 5008, 4638, 5913, 5991, 2582, 569, 4647, 9034, 211, 8083, 166, 5884, 9108, 5530, 3755, 4824, 7796, 7716, 3049, 9851, 6381, 4554, 1136, 9550, 3895, 2579, 8230, 6064, 6298, 6969, 2119, 6402, 2300, 5825, 4677, 3995, 2553, 7202, 4243, 5269, 8225, 8910, 917, 3812, 3352, 6496, 3656, 9178, 3979, 1545, 2912, 8209, 106, 6691, 8050, 3007, 3802, 6776, 6526, 4363, 2765, 6699, 2188, 6977, 5784, 471, 5431, 2967, 3123, 7960, 276, 8413, 3807, 1535, 3381, 4410, 7934, 6745, 8223, 2267, 7497, 4756, 6191, 2310, 8804, 7654, 6103, 8470, 8050, 8771, 4819, 5870, 2330, 7309, 8678, 6374, 4067, 9554, 4550, 4217, 1885, 3768, 3289, 8686, 2670, 5537, 7243, 6129, 6380, 7812, 6948, 3705, 5631, 1368, 9459, 1229, 2553, 9165, 9150, 5076, 1314, 1119, 6603, 8067, 6766, 9827, 9486, 9942, 9097, 2873, 1965, 2277, 2671, 5913, 8580, 4451, 7067, 7758, 2724, 7695, 9521, 8721, 4668, 5195, 5785, 9917, 7681, 9853, 2832, 7161, 2777, 6423, 7756, 7636, 7688, 7413, 2331, 9404, 1995, 6086, 3325, 3939, 1554, 7978, 3362, 7317, 651, 2070, 1223, 8429, 2249, 7832, 4735, 1262, 2102, 9385, 1445, 9824, 7890, 282, 7273, 8998, 4879, 4862, 9467, 5902, 2531, 5621, 1692, 5430, 7422, 9026, 5611, 1492, 3962, 7532, 6782, 6746, 5211, 5374, 8552, 8088, 2934, 311, 433, 5371, 5254, 6368, 5674, 1407, 974, 9991, 6212, 6990, 4794, 5909, 8168, 3722, 370, 6581, 8957, 4614, 3682, 6591, 5216, 5855, 4128, 4885, 5587, 2009, 1179, 324, 5314, 6694, 7881, 2701, 7155, 5137, 3584, 7389, 120, 2282, 2419, 9591, 9038, 6210, 3897, 4393, 1648, 2519, 6321, 2297, 3900, 7306, 6869, 393, 7302, 5499, 2364, 1710, 8936, 4748, 5951, 6452, 1882, 8930, 4880, 356, 2636, 140, 944, 6918, 882, 1911, 8967, 411, 7021, 503, 8999, 3772, 5813, 2738, 6658, 9174, 730, 8674, 3550, 9889, 7448, 3485, 2945, 3057, 5709, 6722, 5597, 4884, 666, 3145, 2058, 811, 4545, 5834, 889, 5157, 8114, 4518, 1042, 4535, 782, 9415, 5641, 3347, 8536, 2500, 8, 9306, 4478, 9201, 3317, 4297, 8543, 8868, 1942, 1146, 5992, 9632, 4758, 8527, 7608, 589, 2166, 3790, 5831, 8429, 4318, 3830, 9533, 193, 3867, 3400, 4007, 6652, 8537, 2719, 8489, 2027, 1403, 6287, 8424, 3999, 1683, 8099, 1481, 3651, 7195, 6437, 1008, 2543, 6085, 5892, 616, 154, 6009, 9430, 672, 1083, 8204, 6276, 2723, 7779, 2787, 8264, 2221, 2858, 5265, 5066, 8706, 7771, 3044, 7466, 9553, 5291, 8336, 1797, 372, 2810, 942, 8351, 196, 9268, 3192, 3145, 5988, 6811, 4524, 7879, 1055, 9602, 629, 8901, 4819, 2042, 318, 4942, 8019, 6782, 7976, 6238, 7338, 9102, 1006, 6329, 6400, 9361, 4625, 9076, 9195, 9721, 1555, 3837, 3214, 779, 219, 5624, 3821, 4555, 4647, 1439, 9558, 2742, 9596, 8552, 2858, 137, 9458, 4388, 6111, 1179, 6523, 9619, 4887, 7122, 8254, 830, 108, 8949, 6169, 2674, 5811, 7328, 6060, 8033, 8133, 1836, 8766, 979, 1467, 7796, 1162, 3328, 8102, 933, 2969, 3843, 4577, 6060, 3699, 6552, 8170, 1133, 3725, 6641, 1644, 9200, 631, 4535, 2998, 6303, 5851, 7086, 1406, 7156, 6093, 7715, 7905, 6571, 8485, 8679, 6436, 6657, 7395, 6348, 5888, 2361, 702, 516, 1042, 119, 3326, 9562, 7334, 6371, 8227, 2750, 6897, 8545, 3814, 3432, 4809, 7480, 9623, 501, 956, 9267, 4034, 8491, 8366, 2003, 1610, 2999, 9992, 9478, 5816, 8949, 795, 1026, 404, 4751, 9985, 2076, 1728, 6669, 7129, 2817, 8596, 9892, 7037, 575, 5317, 8290, 9029, 7464, 5052, 3246, 9550, 7121, 7641, 6769, 8884, 6930, 5649, 5286, 4135, 5196, 6379, 8366, 1641, 2539, 9093, 3332, 5949, 912, 8413, 5572, 3379, 5591, 7968, 6510, 8079, 6785, 181, 2865, 9792, 5865, 788, 9379, 7703, 3045, 1293, 8461, 4598, 3602, 8963, 9903, 6303, 1770, 9580, 8117, 7690, 8915, 4083, 6098, 8704, 2868, 5416, 1971, 7688, 8527, 8644, 4087, 5704, 7370, 6939, 7387, 1324, 6309, 9700, 3954, 7112, 4434, 8611, 4534, 3998, 8071, 9986, 6609, 7756, 5032, 8900, 4455, 1099, 225, 5719, 5342, 6606, 3018, 8138, 7551, 1471, 6560, 2309, 7721, 4877, 8575, 327, 8993, 7387, 6289, 9955, 2238, 4790, 4222, 576, 7192, 7822, 8589, 9974, 257, 5169, 8371, 7194, 7916, 9028, 5364, 5836, 1313, 2000, 7814, 4908, 5612, 3215, 6655, 7084, 5409, 947, 9056, 7993, 8528, 9925, 1333, 2537, 1079, 6781, 1412, 8517, 4526, 7804, 6062, 8435, 6088, 7500, 132, 4598, 3877, 801, 7916, 2253, 1616, 2186, 2631, 3226, 2973, 6010, 1188, 991, 253, 7387, 9640, 3837, 3468, 3753, 2653, 9217, 4659, 7811, 8575, 2767, 3764, 5985, 1100, 6899, 5135, 2634, 5911, 7063, 9786, 2088, 7434, 2669, 5056, 6092, 5378, 2183, 2357, 732, 1935, 5382, 334, 6154, 8152, 7244, 1494, 6056, 552, 4457, 9755, 7120, 7757, 4495, 1026, 4255, 2586, 9670, 7074, 1238, 984, 4108, 5699, 2522, 6476, 2268, 4337, 9447, 7187, 1636, 5195, 9778, 5801, 5562, 145, 3881, 9396, 1911, 8878, 1694, 5099, 2402, 146, 2269, 2693, 8977, 276, 2404, 4128, 7443, 6645, 811, 2660, 9582, 2187, 6466, 8704, 1931, 7320, 8301, 6210, 3042, 81, 7065, 8330, 8854, 1885, 2238, 7481, 5999, 2612, 5351, 1407, 1599, 6130, 3070, 2946, 1792, 9777, 9077, 6586, 2128, 2914, 3992, 1996, 669, 5792, 829, 1795, 7877, 1272, 5246, 1629, 2386, 515, 1087, 4247, 121, 6197, 5724, 5192, 14, 3308, 3627, 3635, 2912, 6211, 6333, 178, 6914, 5136, 7137, 8755, 9023, 7190, 11, 9999, 6379, 4336, 1172, 8615, 7818, 7730, 1871, 1947, 5480, 2459, 1281, 1327, 9086, 2376, 2658, 1820, 6486, 1204, 5840, 5815, 9210, 5452, 5637, 4032, 4360, 16, 9757, 7360, 8622, 8857, 7064, 2692, 7021, 9854, 5239, 5172, 4509, 6238, 4132, 1715, 1614, 4494, 7613, 4665, 6871, 4707, 1262, 3705, 9988, 2892, 798, 8396, 3671, 7037, 4935, 8679, 5113, 1453, 14, 6905, 514, 3591, 8620, 9225, 848, 2703, 7950, 3537, 7773, 7290, 8305, 1088, 3975, 1273, 8365, 8311, 18, 9416, 8985, 5955, 5970, 7851, 1943, 6106, 719, 6223, 3250, 7613, 5427, 9362, 9906, 3514, 2122, 4023, 2472, 7931, 1406, 2606, 747, 931, 9521, 1489, 1736, 5868, 3856, 3989, 2131, 6346, 5517, 5954, 6812, 4548, 7690, 4620, 1203, 6862, 2411, 3503, 9068, 3770, 2214, 8723, 7944, 3086, 754, 7891, 224, 1277, 5523, 5950, 7902, 8440, 5873, 7704, 2905, 5137, 4452, 8468, 1572, 9111, 8011, 7802, 6647, 588, 1595, 3298, 951, 9870, 2324, 4016, 6880, 3552, 9558, 4314, 8073, 1, 4291, 3064, 9432, 2895, 7750, 9454, 530, 3604, 8215, 5179, 3481, 7167, 7391, 9795, 8681, 1356, 962, 512, 6887, 8345, 2706, 5237, 9272, 8071, 8493, 5941, 8394, 1203, 7117, 496, 5791, 2866, 8956, 5540, 1001, 5161, 7521, 7531, 5623, 5145, 7666, 6289, 9197, 9792, 3368, 4289, 6732, 4878, 6447, 5055, 3256, 7038, 2925, 4256, 3688, 3877, 5453, 2091, 1087, 6146, 8179, 8238, 4513, 9468, 9235, 9678, 4458, 2877, 7402, 8541, 9860, 5285, 350, 4687, 6866, 2687, 6113, 3592, 1800, 6031, 7705, 3996, 6129, 3240, 9443, 5068, 8016, 1111, 6366, 6189, 9378, 7698, 358, 1046, 9164, 8597, 1185, 7040, 907, 8779, 7685, 606, 8768, 8987, 9447, 8975, 7929, 8707, 6005, 2219, 1116, 2868, 9153, 8669, 1828, 6266, 1483, 1466, 2307, 6726, 9013, 6948, 3816, 2981, 378, 2473, 8205, 2610, 8322, 585, 246, 5645, 3818, 5207, 6937, 4359, 2300, 9310, 3126, 9057, 1893, 2059, 5953, 3657, 7535, 3894, 7090, 5398, 1718, 6634, 1099, 2070, 3552, 4460, 4797, 8237, 5636, 6264, 4164, 6479, 6842, 1014, 7997, 3812, 3846, 8887, 5220, 3243, 7583, 2636, 3222, 1004, 2005, 3031, 8337, 7532, 1914, 3288, 6622, 4178, 8555, 3127, 5503, 5239, 8889, 4464, 3608, 528, 3922, 2586, 7306, 3098, 9256, 6493, 1341, 5619, 1301, 834, 6882, 8435, 5617, 4128, 7856, 9894, 4005, 5900, 6035, 4704, 3422, 8430, 4825, 8871, 44, 7924, 8439, 7589, 9950, 1440, 1080, 1470, 4741, 6267, 3710, 4819, 5917, 2415, 7148, 5897, 1829, 6498, 9740, 6987, 91, 5552, 83, 9100, 1784, 4342, 9465, 9234, 465, 4349, 8432, 3768, 8934, 746, 1079, 9490, 1439, 678, 6355, 2890, 7552, 8692, 7487, 806, 1483, 8999, 6289, 8362, 1933, 436, 4214, 428, 9822, 8812, 9239, 3901, 4137, 271, 9104, 5712, 3338, 696, 5574, 5491, 6164, 1316, 1518, 1916, 1946, 1248, 2514, 7851, 3674, 8686, 7356, 2029, 5957, 7816, 8841, 7537, 615, 5718, 3524, 5333, 494, 9691, 2191, 2660, 2140, 2518, 6745, 7853, 4758, 9654, 7339, 7072, 5291, 1713, 2591, 2271, 5141, 5200, 6681, 3377, 650, 8650, 5298, 5458, 7247, 3985, 4041, 3893, 5536, 644, 1181, 6155, 1646, 7908, 7545, 2889, 9541, 7703, 298, 7991, 8055, 3665, 5588, 5348, 310, 1969, 9050, 2745, 7784, 5492, 5315, 5144, 6439, 5333, 87, 4968, 6785, 4801, 8510, 7264, 3028, 103, 5209, 3689, 3359, 6203, 3089, 4236, 3030, 4707, 7351, 7262, 3309, 5986, 3531, 1933, 4919, 8156, 7966, 9845, 772, 5113, 5077, 7464, 1190, 8549, 2421, 3639, 8550, 7562, 8347, 4602, 863, 2102, 7696, 2413, 7619, 9303, 779, 510, 4341, 8230, 8680, 7151, 6874, 7172, 5265, 8829, 1632, 3055, 1643, 5612, 5000, 7215, 69, 3767, 377, 1541, 8679, 8805, 7594, 6302, 7176, 5435, 8986, 9038, 4701, 3975, 6064, 4618, 9386, 2524, 9170, 3799, 577, 4631, 9474, 2327, 104, 7908, 5539, 4059, 1879, 1267, 1583, 5329, 382, 3279, 9368, 9543, 8568, 4998, 2612, 6114, 3977, 3025, 8208, 2818, 3235, 6342, 64, 1252, 9702, 7609, 2523, 3633, 3005, 5297, 3988, 8570, 4930, 7234, 2063, 2121, 2685, 1032, 4999, 4235, 111, 3257, 7851, 4270, 2279, 8337, 9623, 3172, 1805, 749, 2449, 3212, 7600, 5209, 2129, 6219, 456, 1322, 6523, 6761, 4593, 215, 6965, 2075, 2054, 2096, 5561, 2890, 4644, 2926, 3681, 2660, 6623, 9988, 6328, 2870, 8374, 1226, 1618, 6842, 6241, 3923, 8162, 6955, 2112, 8186, 2811, 1083, 5258, 3146, 9984, 469, 4504, 5100, 9470, 8023, 4236, 3796, 7308, 2206, 6437, 91, 9526, 7195, 7331, 39, 204, 6883, 3514, 416, 5194, 2714, 1788, 4058, 8478, 6818, 1547, 2609, 571, 8886, 2098, 2509, 1837, 1339, 6251, 2920, 1125, 4177, 6897, 1703, 8936, 2115, 905, 4494, 4765, 1514, 3855, 843, 1378, 3137, 121, 1840, 3183, 7303, 4766, 9316, 2291, 511, 3554, 1597, 5252, 3281, 322, 664, 3934, 5107, 2789, 8490, 7942, 7645, 4082, 8769, 9047, 2336, 336, 3163, 1117, 288, 1675, 4709, 5219, 3608, 8995, 3005, 3459, 9649, 7310, 9682, 2360, 7607, 7450, 7051, 4859, 8989, 7994, 3653, 2654, 4515, 4807, 7635, 7415, 3870, 1809, 170, 2304, 2790, 9085, 5825, 393, 4578, 9521, 2050, 8431, 9776, 1796, 2972, 9875, 9600, 8519, 5990, 538, 4822, 7289, 4075, 3429, 8386, 2068, 9170, 262, 5006, 9151, 3580, 3090, 6052, 4706, 6729, 3632, 2529, 9537, 8047, 467, 8597, 9181, 3136, 8580, 7565, 1098, 4818, 7561, 2671, 4572, 3718, 3043, 9957, 396, 8666, 3251, 8266, 2279, 5537, 2465, 7232, 3730, 4464, 6181, 8300, 7910, 7533, 421, 971, 1398, 2582, 1451, 9155, 5258, 7020, 9615, 4915, 9858, 9283, 6404, 9781, 9904, 8717, 9169, 7866, 7388, 3875, 7304, 1933, 731, 3013, 5783, 8596, 3534, 5123, 9534, 7322, 8707, 840, 4121, 6181, 1406, 609, 1875, 9299, 4488, 2052, 4116, 3785, 9089, 372, 3904, 8586, 3443, 1553, 1269, 8513, 6977, 5444, 6368, 6943, 5249, 8409, 8205, 2002, 7677, 2010, 5952, 650, 9583, 7114, 6961, 1237, 3873, 9287, 2064, 4184, 9055, 7606, 3982, 7881, 1254, 1421, 2434, 3223, 370, 670, 1308, 1470, 5993, 9249, 9423, 3805, 3605, 5053, 4682, 7736, 9891, 6014, 3744, 4125, 4559, 6918, 2005, 1441, 2981, 106, 5557, 1957, 2995, 1062, 6609, 6902, 5153, 3827, 4916, 1201, 8752, 2965, 9159, 4030, 4055, 8128, 7855, 9617, 6133, 4627, 8485, 8120, 9558, 9297, 5565, 6725, 7507, 4870, 9074, 6011, 1400, 7380, 9546, 7417, 7861, 6803, 1035, 139, 4336, 8039, 8308, 4816, 8770, 6317, 1519, 7451, 4485, 846, 7165, 578, 9245, 6644, 6013, 6227, 6522, 3807, 9179, 9725, 9305, 1573, 8514, 1296, 947, 1050, 3486, 9833, 5541, 390, 1176, 3040, 2811, 383, 3035, 2336, 3576, 9248, 4268, 5079, 6282, 1804, 8604, 350, 90, 7675, 462, 9041, 3644, 3580, 3041, 1799, 8702, 7009, 4192, 3991, 7224, 9415, 6985, 2701, 3201, 1010, 6003, 5639, 3890, 2131, 279, 715, 6827, 4622, 5740, 7203, 3915, 3338, 6644, 5454, 2238, 4470, 9349, 2620, 1900, 6042, 1606, 8736, 7863, 554, 4332, 2279, 6530, 9148, 4898, 7079, 360, 3312, 9580, 1138, 8239, 458, 7567, 465, 810, 4743, 8712, 9933, 5382, 7653, 1979, 9400, 5272, 3138, 9052, 4712, 5385, 6829, 6527, 3105, 3755, 7461, 2961, 773, 749, 4135, 4611, 7558, 7460, 644, 1863, 2559, 6720, 8074, 4156, 6690, 6755, 8529, 423, 9777, 5125, 1792, 4894, 5650, 7355, 3871, 5267, 6960, 1165, 6870, 4817, 4992, 7201, 7272, 7725, 1837, 1072, 7937, 805, 4454, 6320, 7037, 6453, 4667, 5761, 7385, 7579, 6223, 5149, 6187, 5897, 7586, 4675, 6534, 3743, 2151, 2800, 8101, 1464, 4730, 7567, 768, 2405, 2711, 6330, 8041, 2867, 6247, 3124, 9019, 6953, 8558, 689, 1259, 1787, 4941, 558, 710, 5962, 8443, 1242, 2230, 7500, 3403, 8173, 8448, 9171, 1404, 3418, 547, 9412, 802, 2513, 444, 3296, 1072, 28, 3671, 7656, 4778, 1510, 972, 7076, 3421, 9224, 4358, 7884, 1934, 2124, 9257, 5107, 2884, 101, 7296, 2114, 1671, 2076, 164, 4573, 6477, 7962, 2279, 6599, 5384, 6149, 3073, 1498, 7606, 8837, 3055, 5367, 2336, 186, 6436, 3670, 1066, 5809, 838, 9158, 1991, 2660, 791, 3462, 9729, 5133, 1718, 1601, 6888, 3551, 562, 2525, 6176, 6320, 4511, 5853, 8237, 2367, 8135, 9359, 3277, 4825, 7258, 89, 8433, 9855, 1885, 6655, 3455, 7110, 9844, 6803, 3638, 4869, 2435, 8301, 6156, 1403, 5875, 7211, 2870, 1080, 9892, 8729, 5276, 2506, 2760, 2005, 8440, 8758, 2615, 9592, 414, 4769, 9557, 2520, 1331, 9459, 1710, 4539, 6501, 9948, 5712, 6907, 8266, 7353, 3820, 1346, 3879, 1201, 120, 1349, 669, 4797, 6593, 6815, 7029, 9368, 2240, 2205, 1112, 61, 1852, 7411, 3509, 6512, 6168, 7779, 9468, 9665, 7801, 9589, 9858, 3316, 4160, 8077, 5038, 3360, 2237, 9135, 3131, 8513, 2136, 8136, 4878, 6720, 1660, 7937, 66, 5011, 2730, 1191, 4624, 1154, 9539, 205, 5622, 1036, 4605, 8945, 1981, 5173, 7898, 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9846, 5700, 9646, 5416, 3752, 5983, 8588, 9426, 854, 6165, 7367, 8631, 9734, 1487, 5610, 3555, 1028, 3565, 806, 129, 6294, 442, 3211, 9693, 640, 5965, 9557, 2794, 3775, 3792, 5592, 8314, 6392, 9061, 4206, 1597, 5590, 3807, 8150, 8206, 802, 4686, 3871, 5872, 8588, 6490, 5504, 8357, 9831, 8344, 5135, 3583, 9289, 6224, 5472, 7121, 8210, 7265, 6340, 510, 1596, 766, 1679, 7025, 135, 2175, 1663, 8458, 2432, 9957, 7641, 5514, 9119, 9262, 5650, 8620, 845, 8773, 9416, 1283, 4341, 7216, 9669, 6656, 2437, 4223, 8983, 290, 8264, 7720, 9187, 7836, 7241, 2332, 3054, 1116, 1999, 1882, 5878, 4831, 7830, 7775, 790, 2880, 128, 2678, 6588, 6637, 8043, 9880, 7029, 4588, 2173, 1040, 5721, 5467, 3855, 2135, 1099, 9701, 7698, 2137, 4080, 409, 4856, 4639, 7498, 6212, 3660, 8734, 5846, 1492, 3790, 1614, 8854, 9003, 5902, 2109, 9608, 2241, 8936, 2844, 5848, 892, 6869, 7758, 8135, 3598, 2195, 4552, 9922, 9533, 9130, 2717, 8135, 4909, 2508, 6447, 6789, 293, 9747, 1212, 6143, 6336, 2931, 499, 5965, 611, 4941, 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3454, 3844, 185, 606, 1700, 6699, 6513, 4733, 1870, 7763, 446, 9467, 3395, 5109, 2105, 7572, 7376, 2853, 6713, 2137, 6359, 5038, 1307, 2901, 3695, 3370, 4068, 7282, 1587, 4204, 4778, 4804, 9664, 5650, 5535, 21, 9502, 8324, 2202, 1580, 2653, 9699, 4111, 6799, 440, 9214, 3488, 8273, 8108, 5743, 5479, 5155, 6014, 173, 7350, 2549, 5398, 1836, 6286, 1712, 2389, 9266, 5212, 6088, 9458, 991, 7166, 7853, 4388, 3798, 45, 3597, 2406, 4834, 8795, 3515, 810, 9935, 5560, 9324, 8415, 9640, 2961, 4691, 6015, 1261, 7365, 9286, 2463, 4181, 4746, 1622, 4587, 655, 4410, 164, 7008, 7231, 1194, 1415, 9452, 9959, 830, 6780, 2768, 944, 7470, 1814, 2685, 714, 8955, 3905, 2396, 6894, 3275, 3537, 2747, 8149, 87, 9478, 567, 6589, 5184, 9728, 7330, 7777, 96, 8883, 6446, 6799, 565, 3119, 2150, 3575, 9985, 2316, 8382, 1678, 9336, 1840, 8810, 4235, 4907, 7607, 5726, 6525, 723, 1638, 6836, 571, 7411, 3717, 7905, 2547, 1579, 5533, 815, 2219, 9078, 8617, 6609, 2690, 7638, 766, 8738, 5778, 8204, 421, 7613, 4292, 1020, 1014, 8045, 8653, 6635, 5214, 7399, 3586, 5622, 8645, 5703, 8519, 535, 7753, 6630, 3963, 5841, 1974, 5991, 8769, 3505, 9670, 4212, 3637, 4261, 131, 6265, 4083, 2735, 2897, 42, 2692, 6227, 8083, 169, 3123, 9497, 1059, 1430, 8029, 1473, 7320, 2357, 952, 4810, 7986, 5747, 8756, 2935, 4759, 2578, 2585, 2051, 6205, 8884, 1227, 8716, 663, 1607, 2334, 7109, 6396, 7195, 6074, 2803, 9887, 853, 478, 8861, 4416, 3989, 456, 564, 4157, 3441, 812, 1631, 6266, 9333, 5261, 4798, 4957, 8074, 8539, 2298, 3404, 9563, 2640, 8694, 6915, 6527, 7493, 2157, 6836, 7458, 2467, 7719, 5611, 5613, 4100, 1685, 676, 882, 2740, 5276, 8784, 8677, 880, 115, 8650, 7122, 4831, 1230, 5839, 9133, 5702, 1894, 9401, 5721, 5184, 8574, 4221, 4199, 5143, 6227, 3135, 2364, 3433, 416, 3280, 7397, 3696, 1654, 1570, 790, 9472, 8279, 1258, 4611, 2389, 117, 5459, 5972, 6284, 4553, 1362, 1179, 5032, 2523, 8303, 8938, 7280, 9013, 8875, 1075, 6789, 2167, 5462, 7199, 3627, 6297, 8845, 2766, 4700, 1954, 7375, 3335, 7592, 2185, 4560, 577, 8308, 4886, 5, 529, 3432, 573, 1463, 4965, 7073, 6360, 3528, 3849, 6395, 2758, 2368, 6498, 49, 5082, 5089, 1900, 5119, 6147, 1447, 3028, 8282, 3180, 6426, 3678, 4361, 3957, 4716, 1669, 2954, 2947, 3946, 3867, 1061, 9203, 2414, 5551, 4901, 1558, 2691, 1243, 55, 3190, 3432, 1346, 615, 7821, 4808, 2647, 3684, 8709, 7020, 6774, 1146, 8537, 1774, 624, 7299, 2804, 501, 1335, 4278, 6693, 8595, 9361, 6481, 1135, 2269, 3357, 6721, 365, 3980, 8135, 751, 8436, 1822, 2678, 8136, 9614, 3126, 4236, 3487, 9079, 3225, 6155, 9025, 1339, 2899, 7976, 2274, 7343, 7182, 6926, 8276, 7988, 5170, 3276, 474, 7234, 6905, 2252, 8535, 1733, 4287, 8428, 5503, 2494, 7094, 7323, 9078, 1254, 5145, 8827, 9788, 324, 8492, 3042, 5245, 802, 1349, 1294, 2631, 8946, 4134, 8016, 6413, 9827, 2359, 886, 308, 4729, 8671, 6052, 5548, 578, 9592, 3329, 5403, 2035, 1327, 6811, 3222, 8120, 2816, 2182, 2779, 6001, 9698, 8549, 1145, 785, 8830, 5074, 941, 5414, 4127, 122, 667, 903, 5871, 4557, 4578, 7188, 251, 934, 133, 6227, 8514, 7583, 4662, 3027, 5743, 2947, 5499, 2427, 5884, 5410, 8920, 5138, 5972, 7149, 6966, 8178, 8593, 4210, 5547, 1878, 174, 5801, 3690, 4927, 8943, 8453, 1550, 1733, 530, 967, 1371, 8281, 9178, 6144, 530, 3410, 7382, 2450, 5054, 9835, 6425, 8360, 2265, 2737, 9807, 2997, 4710, 7720, 9595, 3046, 3826, 8011, 6393, 1348, 320, 3621, 9852, 2248, 2531, 7666, 8284, 4637, 3457, 3420, 2838, 3789, 3202, 2923, 2196, 35, 4601, 7369, 4821, 4645, 8549, 8995, 7638, 1981, 4271, 7920, 6165, 752, 8793, 4741, 7556, 5309, 2818, 680, 6796, 9692, 5909, 8462, 6208, 1164, 518, 9918, 2822, 9576, 534, 2001, 1369, 5184, 5241, 3024, 411, 4481, 1389, 5669, 4726, 3927, 6767, 6835, 6379, 4098, 3392, 6367, 5317, 8367, 5564, 5093, 1263, 5599, 8721, 676, 3373, 7836, 1171, 5649, 8949, 6832, 1095, 4755, 6744, 3935, 1110, 626, 5335, 4853, 2176, 768, 5262, 2551, 1012, 7475, 661, 6933, 2535, 1341, 4334, 6770, 4851, 7127, 2768, 208, 5479, 1627, 3150, 8132, 1363, 922, 7541, 3266, 9299, 6329, 8668, 3370, 341, 2166, 5494, 1606, 1384, 6971, 980, 1267, 6511, 8394, 4594, 6869, 8368, 5266, 561, 886, 1445, 3935, 4842, 2285, 5938, 8692, 6894, 6280, 6189, 8842, 5010, 2274, 6089, 671, 5526, 9017, 9109, 4816, 9814, 832, 1798, 6717, 1243, 1492, 8138, 3071, 2019, 2952, 347, 2478, 8313, 3940, 7684, 9849, 6272, 3201, 2929, 733, 677, 6392, 3047, 6905, 3190, 6928, 8793, 1846, 2089, 2486, 3421, 2904, 4041, 8782, 9822, 4813, 580, 891, 3122, 1243, 8410, 6507, 605, 303, 6994, 9583, 7566, 8124, 6811, 421, 6135, 3440, 8668, 4778, 800, 1979, 8554, 6086, 9625, 8077, 8817, 7617, 5540, 1583, 242, 6141, 3187, 9551, 6593, 5203, 1116, 6023, 2482, 1444, 4135, 9546, 8100, 983, 7514, 342, 6016, 437, 3583, 9111, 146, 2405, 977, 7048, 3494, 1972, 2590, 2523, 6302, 8080, 6067, 5929, 919, 6982, 8608, 5344, 4506, 9528, 2424, 5677, 6971, 8269, 1066, 60, 2588, 3672, 9000, 2291, 7616, 8619, 5326, 1007, 4433, 6290, 1482, 1725, 6772, 5627, 1153, 8710, 7779, 520, 3004, 7991, 371, 4434, 750, 6922, 3228, 6906, 3468, 5532, 7490, 1706, 4499, 6615, 3287, 8626, 1106, 8125, 1826, 6164, 8401, 6297, 2979, 1895, 703, 8679, 8926, 6358, 5451, 2256, 5234, 1606, 65, 5183, 1512, 7582, 7862, 4790, 6853, 2364, 5822, 1027, 3146, 3993, 271, 865, 4407, 8240, 2870, 4732, 7406, 2729, 9753, 4151, 4662, 2606, 3966, 151, 9084, 3307, 5919, 1040, 4771, 4507, 6227, 4158, 934, 4246, 724, 5259, 1821, 1630, 7364, 4464, 724, 564, 3032, 1708, 9729, 7247, 1262, 790, 5195, 7931, 6246, 7524, 2184, 944, 6680, 9921, 8527, 7354, 7287, 4316, 316, 6829, 3044, 6513, 1850, 1590, 528, 5858, 4312, 9720, 5167, 6954, 3795, 6465, 683, 7468, 5874, 718, 625, 8027, 7774, 5124, 5724, 9902, 8377, 3254, 2898, 8852, 3617, 2385, 5549, 3986, 20, 6440, 3064, 4521, 3362, 3856, 2090, 2096, 7425, 9037, 5316, 3333, 370, 3820, 3615, 3058, 1828, 6282, 2586, 8643, 5623, 2836, 2659, 7555, 6065, 4621, 9081, 7794, 9180, 4017, 8997, 8337, 1943, 221, 6705, 593, 3983, 3308, 2463, 4173, 1776, 4682, 8433, 8334, 5404, 7812, 8938, 1854, 308, 2887, 2059, 2792, 5345, 7519, 4168, 7203, 5047, 1770, 5174, 7650, 1873, 2966, 1023, 5001, 7484, 1945, 1212, 6093, 2452, 1503, 5011, 5319, 7420, 3726, 3591, 983, 5811, 5324, 1806, 8556, 6990, 8707, 561, 8524, 9507, 6335, 6060, 1412, 9793, 3342, 9339, 7787, 6180, 1861, 5865, 4169, 6931, 4733, 1918, 1519, 1086, 1404, 7475, 1372, 7099, 2163, 8721, 5280, 1936, 7269, 3567, 3918, 2806, 245, 2107, 6151, 8914, 6123, 6390, 4188, 3276, 6536, 1888, 2514, 2224, 9632, 9025, 3241, 3894, 4015, 1106, 5366, 4326, 5744, 8983, 7468, 3018, 937, 2390, 5378, 5500, 492, 6460, 5241, 1688, 5031, 2332, 2732, 5706, 5557, 2315, 5050, 1591, 845, 1544, 8178, 4353, 2150, 9421, 4453, 8789, 1372, 284, 9153, 1552, 9933, 3236, 8134, 9016, 5350, 8161, 168, 3445, 1384, 283, 8488, 1397, 8837, 4586, 5063, 2983, 2539, 1814, 9849, 4450, 9715, 2626, 9712, 3701, 4552, 4302, 2826, 1847, 3882, 2327, 1032, 5676, 3982, 6367, 2573, 1237, 156, 5400, 1335, 9279, 370, 6031, 1034, 4105, 5754, 834, 5359, 7584, 6148, 936, 867, 6862, 9594, 7496, 118, 9844, 957, 3204, 4847, 8519, 4378, 7963, 2915, 5204, 1434, 5109, 7012, 8391, 2472, 228, 8363, 7647, 13, 3099, 6482, 8357, 5227, 6914, 8923, 3703, 6873, 3938, 4036, 4753, 5314, 2655, 7412, 5871, 1547, 4785, 7557, 8981, 981, 7123, 9866, 1210, 7872, 7617, 5616, 1054, 9452, 4542, 4754, 3805, 5749, 3810, 9319, 5914, 4886, 3370, 4589, 4570, 1921, 1416, 7798, 9755, 8163, 3183, 6065, 3212, 528, 512, 216, 8843, 6155, 2756, 9854, 8271, 7544, 4175, 8935, 9911, 7536, 1660, 7505, 7306, 8390, 7520, 2355, 5244, 9288, 7441, 7629, 2647, 1905, 4084, 2332, 1030, 7271, 5245, 7542, 7329, 4673, 2475, 6870, 1129, 6710, 6750, 8747, 7828, 7864, 9466, 5969, 3374, 8553, 4297, 1677, 1840, 3699, 74, 2303, 8080, 717, 6761, 8903, 5855, 2282, 3632, 4123, 8165, 6760, 6065, 499, 679, 37, 357, 9883, 9091, 9220, 327, 8454, 8048, 3806, 288, 7671, 2195, 374, 2520, 2048, 8307, 9731, 20, 5734, 628, 973, 4873, 9205, 9966, 5136, 3519, 9326, 5893, 650, 944, 473, 8145, 3814, 6655, 8886, 919, 4123, 1527, 8116, 3787, 5887, 6318, 9263, 1238, 5186, 527, 9683, 1707, 299, 9758, 3727, 1130, 5933, 2317, 2297, 4057, 3503, 4528, 8218, 2294, 4857, 6528, 905, 1252, 8709, 9605, 2691, 1124, 9963, 8116, 8990, 7310, 7002, 4466, 7620, 790, 1578, 8818, 9144, 5277, 5501, 1344, 723, 1135, 1877, 8885, 9956, 1100, 8366, 1540, 8356, 9382, 8079, 7257, 9380, 3363, 5264, 5823, 9659, 6962, 140, 9901, 2615, 9432, 9175, 670, 5466, 5466, 8293, 3655, 9275, 300, 5262, 6520, 2533, 9182, 8877, 6329, 5981, 1151, 2192, 9143, 6585, 5052, 2545, 7497, 5234, 8778, 8923, 8349, 3297, 2124, 4774, 3402, 3261, 3179, 6496, 8099, 1396, 6390, 8207, 2675, 1454, 5814, 325, 542, 6661, 8578, 5503, 8766, 7637, 7571, 9225, 5351, 759, 8634, 6256, 9610, 5461, 1752, 9798, 7236, 4549, 3943, 3980, 3245, 9751, 9517, 4357, 9025, 8247, 9806, 1631, 3781, 9421, 2278, 7198, 783, 1143, 5465, 5524, 3676, 2589, 1938, 7598, 6577, 2600, 8824, 8462, 5505, 1537, 3560, 1431, 7256, 8574, 111, 7584, 5280, 7886, 4020, 9100, 4701, 9152, 566, 5087, 2029, 8023, 8611, 9539, 5146, 3399, 1299, 8107, 846, 7451, 5928, 4368, 3297, 6845, 6737, 9651, 1942, 5637, 2066, 1299, 3039, 1560, 2660, 5179, 1845, 1719, 4186, 5055, 1575, 5877, 9451, 507, 8757, 752, 7207, 2215, 3820, 3027, 3918, 5500, 13, 8832, 2858, 6345, 6562, 1881, 1590, 7287, 2079, 1488, 6240, 3719, 9852, 3124, 3931, 8007, 1195, 6595, 2295, 3543, 8779, 5348, 7983, 283, 5538, 6453, 2662, 7858, 2332, 2540, 2954, 5904, 6215, 8591, 5163, 6535, 5386, 3204, 8329, 1394, 166, 7664, 832, 7777, 2215, 8607, 5918, 6794, 1778, 7478, 4252, 3798, 5035, 9008, 2913, 6025, 6286, 177, 1636, 360, 2276, 204, 9114, 2110, 6517, 6112, 9866, 1227, 739, 8162, 901, 933, 8871, 6031, 1270, 547, 6578, 5157, 9942, 3891, 9605, 1061, 6405, 6789, 6413, 6125, 2966, 1538, 4200, 1703, 3526, 6326, 4846, 230, 6903, 6927, 7505, 1124, 9631, 7044, 3817, 5545, 8567, 6216, 2876, 6492, 3565, 8165, 8869, 887, 2994, 1124, 4319, 3991, 4454, 9091, 986, 9012, 2912, 1370, 6961, 5742, 6288, 6247, 9566, 1200, 3598, 9018, 981, 6970, 1797, 2306, 6718, 4859, 7564, 3642, 1959, 6203, 3129, 3949, 4709, 5324, 3817, 7645, 8773, 9002, 9371, 2017, 4076, 5385, 6294, 1544, 9900, 7836, 8273, 7168, 3359, 5936, 7357, 1608, 4881, 3721, 3913, 6771, 4508, 9172, 8540, 4908, 4718, 2349, 2433, 3675, 5074, 3009, 7369, 7274, 8948, 9124, 8390, 2024, 970, 9146, 8999, 2731, 9528, 7006, 191, 7800, 1567, 970, 3932, 1984, 6952, 2102, 8621, 1797, 4147, 8231, 1428, 9964, 7598, 6776, 1087, 6551, 884, 5686, 5873, 3239, 745, 1734, 2055, 1286, 9746, 6691, 5946, 5747, 703, 455, 9066, 1532, 2654, 4071, 1697, 5847, 1557, 4855, 448, 2306, 1743, 2788, 8576, 2622, 5627, 7312, 1367, 8832, 1448, 1529, 9412, 932, 7264, 1408, 5958, 7230, 2140, 7620, 5299, 2205, 297, 6973, 6439, 3288, 9133, 4354, 6550, 9415, 9414, 5318, 37, 4888, 8163, 8043, 5213, 7480, 6195, 8471, 5940, 5667, 2344, 6409, 3462, 6122, 6264, 7424, 9576, 5527, 7714, 2810, 617, 326, 3395, 7466, 2706, 3588, 1457, 5574, 2789, 9653, 7510, 9375, 5480, 2173, 1327, 8012, 2343, 7790, 8175, 6932, 1627, 4389, 5373, 8995, 8527, 375, 9811, 3664, 9035, 8811, 249, 4466, 1544, 1992, 9487, 3444, 6352, 8521, 5321, 7543, 2469, 4440, 6396, 8231, 3619, 5651, 1232, 4738, 7614, 1451, 3322, 8131, 7996, 6103, 1460, 6667, 9481, 4652, 6557, 1165, 95, 348, 8405, 1534, 8307, 2333, 146, 1862, 2551, 9649, 5540, 3905, 9307, 9982, 4714, 7191, 4728, 916, 1648, 6578, 2147, 8395, 2831, 2325, 4417, 9296, 2378, 8242, 5861, 3415, 3005, 5784, 8454, 6278, 405, 5143, 6953, 468, 7056, 5327, 2537, 7111, 9620, 7938, 4442, 5667, 7335, 4395, 209, 2902, 5559, 2761, 2215, 81, 958, 3788, 831, 9431, 5700, 1888, 3052, 9774, 3489, 324, 9020, 77, 6662, 3135, 8207, 4490, 3277, 9207, 2078, 1393, 7170, 410, 9526, 9140, 5966, 907, 9377, 1554, 6027, 9915, 6813, 4981, 2459, 3314, 8742, 8221, 6879, 7456, 3942, 7190, 6482, 7253, 9224, 316, 2983, 6279, 6416, 7486, 2099, 5304, 9476, 6390, 8259, 1385, 4092, 8986, 748, 6310, 338, 5371, 3015, 6327, 4236, 3837, 2811, 6665, 6953, 932, 9490, 9107, 8733, 5338, 4857, 6642, 9032, 4351, 7462, 9055, 9923, 1324, 5290, 9377, 5283, 1495, 3839, 5196, 5274, 5178, 9833, 5147, 2633, 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3882, 7199, 4233, 4223, 1031, 9777, 6389, 3414, 2962, 3409, 768, 6232, 9931, 273, 4255, 632, 8731, 5308, 6874, 8388, 8705, 8518, 5063, 9298, 8314, 2279, 2113, 6169, 9550, 6825, 2678, 9547, 5791, 6616, 2256, 6705, 438, 5154, 9869, 4964, 6617, 5752, 1915, 3904, 3521, 3672, 4398, 5271, 4195, 2239, 5122, 6312, 7403, 3642, 6631, 9250, 1118, 1219, 3250, 7928, 3222, 5819, 5398, 4332, 1669, 373, 7812, 3093, 6536, 6459, 3699, 3021, 7149, 95, 2937, 7264, 3086, 2452, 7042, 9215, 7298, 268, 295, 7912, 6353, 1144, 5240, 2102, 8917, 5105, 6181, 1668, 2253, 179, 8926, 3402, 1748, 7942, 8316, 6478, 6439, 1121, 2719, 2549, 9836, 1709, 475, 5107, 1729, 805, 7429, 3640, 2102, 5326, 5560, 9915, 1797, 89, 2876, 8854, 2943, 9224, 9763, 6159, 7863, 1925, 2607, 3670, 7978, 567, 7385, 5588, 4077, 407, 5164, 335, 967, 7681, 9752, 8274, 8074, 3939, 5089, 8925, 1892, 3577, 9490, 4801, 7194, 5954, 6829, 3188, 1321, 6295, 4268, 4127, 7730, 2003, 5775, 9118, 9098, 6502, 9935, 4061, 3743, 7542, 6725, 9904, 6509, 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1810, 5929, 6512, 5048, 5845, 7727, 6546, 5830, 748, 3331, 9727, 9557, 6303, 9353, 2627, 7365, 4762, 6387, 4034, 9308, 2013, 9680, 862, 4968, 3593, 2065, 5416, 6249, 100, 540, 4725, 4425, 5270, 6960, 5100, 8860, 8389, 7788, 4873, 2968, 625, 538, 526, 4402, 485, 5121, 9682, 3903, 3100, 1864, 6357, 3742, 6827, 2188, 3410, 2346, 3183, 9581, 7064, 4490, 8938, 7003, 5542, 2421, 7992, 1513, 5600, 7673, 1055, 5912, 2202, 8904, 1145, 5036, 6684, 3390, 2291, 7210, 6771, 285, 486, 9112, 4600, 264, 5451, 1788, 6272, 7283, 236, 1990, 3744, 8025, 6717, 7177, 785, 8112, 539, 4549, 4288, 2201, 5078, 1059, 553, 6398, 52, 531, 2302, 9070, 5634, 3295, 9118, 6667, 5250, 3576, 7100, 7367, 8698, 1874, 6745, 72, 7469, 1095, 34, 7310, 7199, 8148, 8069, 3274, 1122, 8848, 2019, 5746, 4167, 4246, 5040, 5984, 6882, 8213, 200, 2421, 108, 5800, 3784, 8458, 4334, 4344, 7320, 5998, 9378, 1284, 3005, 5184, 6976, 9647, 7893, 1441, 9401, 9960, 1746, 861, 3413, 6552, 576, 2052, 8418, 4102, 3306, 864, 5630, 9998, 586, 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252, 5694, 3942, 3839, 6515, 1374, 1992, 7277, 2452, 4236, 6052, 3578, 225, 6549, 5248, 6826, 3181, 1737, 7978, 588, 2649, 5339, 1810, 4441, 1123, 2500, 7789, 1414, 6858, 3051, 9645, 7486, 5758, 5516, 2961, 646, 3983, 5826, 2511, 8735, 2445, 3902, 4694, 993, 5373, 7078, 321, 2648, 9339, 9429, 3502, 22, 6680, 3263, 939, 8489, 6573, 2519, 5174, 3133, 6391, 8313, 8770, 179, 1481, 770, 3841, 8652, 1788, 4938, 5440, 7177, 5541, 7533, 7594, 7476, 8443, 5565, 3663, 7501, 8235, 227, 192, 8528, 3473, 9476, 8956, 9379, 4253, 3202, 7855, 7954, 8535, 6009, 6420, 7655, 9391, 9756, 38, 871, 5292, 5329, 4425, 9071, 741, 1490, 5633, 1753, 8992, 9576, 7480, 7704, 7269, 8269, 7196, 4901, 7329, 1931, 7624, 7600, 9561, 2841, 3869, 9286, 154, 8619, 5258, 8817, 7215, 3269, 5256, 3003, 9430, 6882, 5005, 1051, 5908, 4707, 7612, 6682, 2376, 5492, 5336, 8576, 3810, 2342, 4735, 4671, 1506, 4034, 5942, 5913, 3810, 2106, 6522, 6586, 3789, 1533, 1208, 16, 4418, 2261, 8796, 1444, 5183, 6777, 1601, 9256, 3051, 5116, 2147, 1961, 3051, 7614, 8473, 234, 2397, 8431, 7679, 9569, 6686, 9568, 7600, 6078, 1402, 283, 5799, 600, 2877, 443, 6287, 6941, 8778, 8715, 8772, 4668, 9977, 8420, 2475, 660, 6664, 84, 5700, 2381, 4500, 4065, 5016, 6969, 5375, 8478, 5509, 144, 3895, 6566, 8032, 2527, 445, 4283, 1708, 3436, 3677, 2652, 942, 8665, 6918, 9534, 9387, 897, 9423, 4908, 9493, 3205, 5823, 3221, 3407, 2835, 2414, 879, 9672, 414, 9269, 6891, 2051, 5845, 3820, 971, 6742, 4654, 4681, 1481, 9308, 5677, 9473, 4690, 1815, 2597, 2831, 7892, 838, 1025, 7068, 5031, 1784, 9279, 8347, 8229, 9808, 3882, 5182, 3791, 276, 658, 1213, 2303, 5111, 7429, 5532, 5529, 4390, 3823, 9172, 3559, 9703, 2122, 5224, 209, 3080, 661, 1701, 3132, 7541, 9042, 9771, 582, 7371, 151, 9432, 5334, 4353, 8078, 2413, 2068, 1996, 6429, 3042, 4341, 3080, 4936, 8872, 9094, 4006, 9263, 8317, 3391, 9560, 4227, 3963, 6819, 2186, 1904, 5972, 6281, 6921, 6562, 1887, 3614, 5317, 6842, 7276, 2716, 8731, 7800, 6249, 9646, 3184, 4612, 4754, 1044, 3747, 151, 8341, 9262, 7586, 9310, 2371, 9419, 7749, 7813, 8162, 8789, 3986, 3902, 6195, 7663, 4390, 9645, 7721, 7100, 9229, 9380, 5207, 6228, 5475, 1149, 9512, 4470, 9996, 9967, 7169, 7778, 1878, 5326, 2194, 9118, 9985, 4496, 7174, 2911, 5035, 5832, 3583, 7177, 3099, 1001, 4676, 4356, 5492, 7751, 8757, 4259, 784, 2087, 634, 3424, 9786, 4822, 4167, 5867, 9500, 9109, 4665, 8051, 9667, 7047, 6940, 1548, 2927, 138, 4549, 4203, 1068, 9584, 3324, 4231, 1789, 4588, 100, 1393, 3270, 616, 5696, 3870, 8713, 5244, 2377, 524, 8437, 5725, 4545, 5802, 7109, 5804, 1035, 9294, 718, 7450, 6065, 8847, 3584, 5917, 4901, 3490, 3372, 8713, 5274, 309, 4487, 1661, 6264, 3182, 2082, 1898, 206, 6831, 1084, 8942, 4200, 272, 8756, 8220, 7992, 5193, 5645, 6494, 8225, 9630, 8469, 3490, 1181, 5389, 5211, 3842, 7383, 9633, 8840, 5026, 126, 1268, 9707, 3599, 6516, 788, 4191, 5153, 2172, 7742, 2433, 7009, 1296, 6389, 6493, 1827, 2414, 9606, 5401, 8553, 3600, 7884, 4624, 2361, 8207, 6566, 1369, 8706, 8128, 2359, 1321, 227, 6234, 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2544, 9007, 3199, 1632, 8041, 1297, 2594, 2071, 6393, 3630, 9249, 3654, 8289, 8058, 7456, 8196, 3660, 1989, 6904, 5821, 4692, 1083, 4305, 6766, 6375, 1616, 6549, 7106, 2653, 2610, 1434, 3242, 3082, 2356, 8291, 1487, 3421, 5122, 9669, 1458, 3004, 515, 5058, 5618, 7816, 4305, 7428, 956, 5471, 7052, 2435, 2127, 8465, 5562, 6345, 5802, 7765, 8001, 1919, 2613, 615, 4983, 9658, 9714, 4784, 6078, 3855, 752, 2035, 5101, 8988, 63, 7610, 1671, 6607, 7898, 2811, 5854, 914, 8853, 5170, 9686, 7119, 3890, 6031, 9021, 9756, 4831, 4056, 7191, 7504, 491, 7444, 8629, 8693, 5041, 4566, 8583, 4622, 5558, 3692, 9249, 4953, 6252, 1516, 6374, 9036, 3266, 8952, 7019, 8245, 2893, 2868, 6439, 8934, 1763, 4156, 3445, 4339, 824, 233, 3812, 8228, 9422, 6380, 6482, 2567, 6786, 7708, 912, 6370, 5943, 2292, 344, 6667, 9050, 1290, 7723, 3636, 5076, 6217, 4584, 4894, 9110, 4735, 6167, 7595, 5606, 620, 6290, 1623, 211, 8829, 3137, 6264, 1378, 358, 1953, 8088, 2767, 4447, 8862, 1075, 6057, 9050, 5596, 7555, 2673, 2193, 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5250, 556, 4335, 9833, 3412, 1089, 3231, 9916, 6746, 992, 191, 9361, 4884, 7734, 4240, 1465, 4754, 2406, 1175, 6390, 2262, 8994, 2133, 1505, 7769, 3803, 3758, 6085, 9726, 6179, 7378, 1308, 9111, 1953, 4421, 3138, 1795, 9213, 1178, 4821, 9127, 81, 4990, 4108, 5885, 9928, 5261, 1656, 9067, 3390, 6817, 9354, 8196, 196, 1445, 7110, 2376, 7590, 3168, 8189, 5713, 6801, 1947, 3355, 4087, 2981, 2714, 4059, 5738, 8694, 6397, 9741, 6652, 1210, 139, 1030, 8535, 8448, 6932, 6902, 9802, 704, 7015, 173, 5118, 1078, 4157, 557, 3192, 3020, 2952, 6982, 5644, 9866, 1501, 6635, 6759, 3857, 480, 896, 7395, 883, 8132, 8225, 6880, 7757, 9126, 478, 4152, 4873, 4507, 3945, 9862, 8427, 1756, 6119, 1344, 9199, 6852, 8200, 531, 7271, 5125, 8711, 8229, 2455, 9035, 2021, 2969, 1395, 1526, 7547, 7761, 8435, 3069, 7981, 1723, 5010, 2229, 3484, 4185, 3251, 6574, 89, 7704, 7445, 6902, 3514, 6070, 4453, 2706, 6919, 5141, 513, 3499, 5401, 8697, 8096, 1461, 1765, 4787, 670, 2971, 2455, 3182, 9190, 2544, 8196, 7782, 3849, 5781, 5804, 8286, 965, 1244, 8738, 5886, 7010, 6294, 1809, 2922, 4673, 99, 3064, 3484, 7546, 4110, 8527, 1430, 360, 854, 6478, 9746, 7837, 9174, 985, 3622, 4140, 1124, 4266, 2852, 8153, 4786, 6392, 7574, 5067, 904, 3183, 413, 7601, 2446, 962, 9379, 3042, 1870, 97, 5231, 1024, 5537, 6750, 5629, 8772, 168, 6246, 8661, 9372, 2022, 2222, 512, 4700, 8887, 4785, 2817, 938, 3661, 8349, 2184, 7674, 3167, 5179, 769, 465, 770, 8526, 7794, 7230, 3679, 9082, 9473, 9843, 9978, 6168, 7719, 9422, 9523, 6852, 3726, 1811, 8353, 4617, 8648, 6584, 1900, 1737, 9630, 5115, 751, 9252, 9890, 7045, 2747, 7110, 4495, 2591, 3293, 4783, 3361, 339, 1544, 9868, 5090, 2948, 7359, 3262, 5753, 5594, 9229, 8485, 8349, 1826, 2316, 9087, 8465, 5558, 9269, 7946, 3244, 3781, 4656, 8708, 7986, 5574, 9571, 4750, 8627, 1422, 9403, 2096, 1157, 9293, 9821, 1700, 2181, 4361, 3309, 610, 4472, 1196, 8846, 3229, 8156, 4069, 4632, 2742, 7227, 6201, 131, 9422, 75, 2786, 8722, 2855, 1818, 6952, 3528, 2372, 7823, 5255, 6838, 3313, 8550, 3627, 5578, 8788, 2326, 4250, 3959, 8440, 8248, 9813, 7265, 6387, 981, 549, 6319, 3988, 6350, 29, 6354, 1279, 4694, 5328, 8543, 8429, 9800, 9965, 6256, 8913, 5980, 6918, 2397, 4995, 7820, 123, 8476, 3379, 5749, 712, 3057, 6614, 428, 4634, 5032, 8839, 9169, 2742, 3561, 7780, 295, 479, 2204, 1244, 5370, 1214, 2151, 7062, 7056, 1435, 1602, 5510, 7888, 8059, 7549, 7718, 4089, 9100, 961, 8146, 627, 5416, 6726, 4210, 4032, 8747, 5751, 6259, 6174, 7909, 5795, 8155, 4295, 4165, 5559, 141, 3312, 413, 2981, 2478, 8164, 8304, 9402, 8322, 7289, 6876, 4822, 2770, 2846, 2817, 3511, 5912, 9006, 4865, 3175, 7659, 9088, 9697, 2979, 3486, 3641, 6693, 7149, 359, 7681, 7952, 5394, 3278, 3180, 5321, 2124, 6006, 2623, 2773, 5562, 4175, 20, 1480, 1743, 1839, 387, 8891, 7888, 7497, 775, 2072, 6309, 6601, 4097, 2770, 3272, 9410, 9817, 8137, 5580, 5551, 6041, 2895, 498, 2180, 8613, 9387, 2245, 8335, 7045, 3015, 842, 6507, 9874, 6866, 2487, 6626, 4716, 6828, 2766, 1095, 958, 1885, 5971, 5542, 9385, 3758, 9612, 2151, 4001, 8221, 5863, 8772, 8863, 7281, 5155, 8566, 5637, 5340, 3487, 8334, 7831, 376, 4771, 9002, 562, 9924, 260, 555, 8921, 6587, 3383, 7456, 8302, 786, 6521, 9266, 1529, 1434, 3806, 1188, 5810, 2870, 7475, 9069, 8371, 142, 2085, 8333, 1148, 8151, 9155, 9013, 6560, 4797, 3041, 8005, 7528, 2417, 7440, 9712, 939, 1291, 8383, 3411, 8100, 4022, 3734, 6185, 2508, 3567, 1808, 8970, 6898, 8249, 5675, 6429, 5825, 3432, 3231, 3927, 8754, 9409, 4117, 8821, 5131, 7849, 9307, 9773, 1306, 5419, 9638, 2348, 7404, 9935, 4603, 4686, 1286, 713, 3645, 1679, 1284, 6653, 6074, 459, 9953, 3272, 8880, 7795, 5834, 605, 3119, 2886, 7481, 7617, 4854, 1679, 290, 1661, 5613, 6825, 6106, 7004, 1131, 8569, 3955, 6711, 9754, 912, 8344, 4670, 222, 1335, 1942, 10000, 4698, 8943, 1867, 3322, 1424, 4662, 8536, 8921, 182, 136, 102, 6843, 4666, 629, 5585, 2069, 2257, 7008, 609, 2055, 1393, 7495, 6952, 506, 9733, 4770, 5749, 8709, 6749, 1739, 4726, 4841, 9590, 4387, 6086, 4149, 4306, 2271, 8591, 2765, 4777, 2725, 3898, 4678, 3499, 7328, 1568, 7320, 7828, 1909, 8396, 4957, 7729, 3290, 227, 1713, 4868, 8561, 6130, 7123, 4045, 6963, 4106, 5077, 6018, 8924, 6408, 8711, 3901, 2444, 7061, 8998, 4582, 6600, 6277, 9291, 3587, 5402, 4889, 3864, 6605, 3588, 4552, 1496, 721, 3113, 4112, 1082, 8437, 2896, 5827, 5645, 3980, 3926, 7622, 1483, 3182, 2000, 7442, 9735, 9301, 4572, 8118, 9954, 9177, 223, 3242, 3123, 6468, 647, 6352, 1140, 5617, 592, 2185, 5588, 5550, 5169, 3926, 8158, 4460, 831, 8411, 8186, 1919, 254, 5174, 1143, 2974, 9608, 2604, 4231, 5123, 7858, 6717, 2985, 4182, 2052, 4344, 1201, 7928, 2809, 7120, 7325, 9175, 2268, 2190, 7698, 4429, 2873, 9028, 9171, 3076, 6302, 8558, 3948, 3454, 7667, 2114, 6037, 2051, 8987, 3848, 142, 5266, 2614, 2442, 4961, 300, 1966, 2597, 9539, 5021, 1677, 4197, 1296, 9784, 1203, 7402, 4787, 7017, 5833, 6406, 5329, 4382, 1720, 6559, 5304, 5348, 5693, 2416, 9502, 4068, 7997, 352, 7197, 4289, 1091, 9929, 3150, 2905, 2750, 678, 5184, 6534, 2325, 2569, 6696, 7589, 9328, 5748, 509, 2712, 8885, 3904, 2520, 2714, 5732, 8308, 4864, 6400, 1997, 3556, 4174, 5579, 5646, 5706, 1069, 2990, 2342, 1529, 644, 2797, 4284, 2365, 2995, 5201, 8188, 138, 7292, 4328, 9810, 633, 4772, 6217, 4321, 7758, 9011, 603, 8211, 4595, 5194, 5624, 9662, 8911, 8320, 1539, 8215, 3632, 2023, 7913, 9593, 3896, 3465, 619, 3304, 4318, 6235, 5740, 3553, 7255, 2949, 8779, 1759, 9409, 4309, 7691, 9725, 6673, 4663, 1997, 4944, 8468, 6196, 3194, 546, 856, 5512, 7950, 3508, 7374, 6003, 1029, 8070, 3270, 3910, 7104, 4782, 3373, 3569, 7278, 6053, 2660, 6728, 9658, 3263, 3769, 6716, 7124, 5333, 711, 318, 6292, 5557, 6993, 2409, 9822, 1176, 2917, 601, 2716, 1399, 4234, 6538, 7251, 4402, 9913, 2496, 544, 3544, 8094, 5783, 9327, 3732, 4662, 405, 4845, 9481, 9768, 295, 8948, 4021, 6537, 3776, 5448, 838, 2362, 2485, 3016, 2823, 5238, 2935, 4961, 8919, 3882, 6985, 1344, 1470, 4947, 8452, 2690, 3143, 4008, 9969, 8027, 1350, 3719, 2005, 5263, 207, 2323, 6795, 9435, 3140, 6514, 4375, 5929, 7933, 2284, 1952, 3327, 2476, 5877, 4977, 7903, 8268, 5227, 7215, 5580, 9582, 3869, 5324, 5572, 8726, 4453, 9363, 8840, 1502, 9086, 3109, 6588, 1639, 5636, 541, 8979, 5898, 9027, 4477, 856, 7414, 1029, 7241, 9215, 6224, 7113, 6655, 5811, 6547, 5245, 9000, 1139, 4229, 2148, 7300, 3142, 7600, 3907, 7227, 2103, 9678, 2939, 1289, 6449, 1963, 7919, 5245, 4866, 5270, 2752, 407, 3678, 7749, 6680, 6523, 4566, 4446, 4646, 6286, 309, 4105, 3802, 71, 2520, 5219, 5020, 6306, 8495, 3996, 9811, 1206, 9784, 7830, 4606, 8608, 3230, 3351, 1237, 341, 3528, 8347, 2220, 5395, 542, 4806, 2764, 8483, 6028, 9460, 3269, 6644, 9783, 8586, 4660, 533, 4494, 3115, 1146, 7356, 6677, 6885, 4479, 8554, 5893, 292, 8426, 7418, 5017, 5445, 2632, 5915, 4355, 6991, 626, 2845, 3350, 1569, 5085, 2491, 1720, 8018, 9535, 6405, 9181, 6119, 3939, 6704, 1907, 9043, 1566, 7021, 3138, 9665, 1942, 3930, 6821, 6924, 7766, 1740, 5996, 8870, 3722, 2631, 1433, 280, 3236, 9917, 6773, 4173, 5209, 2947, 6669, 2145, 4739, 8789, 2704, 1204, 3352, 1114, 6193, 1612, 4003, 2665, 5330, 7865, 4641, 3663, 6655, 7886, 1369, 2990, 8884, 2567, 565, 121, 6262, 9522, 7679, 4861, 2527, 4935, 435, 4717, 245, 167, 8095, 5655, 8188, 85, 9794, 8352, 2107, 1441, 1783, 3013, 4361, 5757, 6433, 7430, 2283, 6064, 6542, 2144, 1405, 5310, 9483, 9073, 6944, 2740, 4884, 4486, 6035, 9120, 6658, 3752, 1510, 3869, 4851, 3473, 6631, 7119, 274, 3096, 331, 5872, 1815, 1058, 443, 2654, 7186, 3801, 9935, 5385, 9069, 4314, 6426, 2660, 8152, 6297, 7812, 6682, 4984, 9211, 3217, 4340, 3450, 8327, 3830, 8966, 9913, 5611, 6117, 1372, 1557, 2943, 1488, 9718, 804, 1929, 8728, 1878, 8665, 7944, 9412, 5863, 1093, 1299, 4573, 6204, 8683, 8454, 4749, 3429, 4548, 3460, 1372, 1217, 538, 7234, 984, 7164, 9320, 5942, 9457, 5974, 3223, 6345, 8701, 8362, 5338, 6400, 6891, 5144, 7458, 6934, 3583, 9595, 9650, 5869, 8462, 6886, 1475, 882, 5544, 4115, 9714, 6434, 9433, 1156, 3375, 7364, 8775, 4833, 5176, 4316, 1475, 417, 4132, 5313, 9006, 9169, 6805, 6828, 7123, 5673, 2303, 9389, 3400, 2515, 181, 6425, 1714, 1251, 6253, 9251, 9899, 204, 9218, 6195, 5244, 1976, 5258, 3882, 6907, 4750, 7884, 286, 6071, 9591, 1391, 1839, 2556, 1020, 4757, 9328, 2839, 6350, 4199, 4992, 2348, 604, 6201, 8428, 9545, 976, 5690, 135, 2841, 7558, 7743, 2890, 3452, 1724, 9191, 8641, 7076, 9946, 3835, 9446, 671, 3608, 3301, 8177, 8904, 7876, 3079, 7021, 6951, 4803, 6332, 9432, 269, 1161, 9029, 8050, 1069, 3287, 7694, 4429, 8098, 9615, 1455, 768, 1723, 9375, 3281, 5236, 4197, 9810, 8801, 6187, 2271, 3329, 132, 9577, 2042, 3785, 7594, 6186, 9818, 8242, 7787, 4554, 4895, 4476, 6192, 841, 6213, 2000, 4968, 1241, 5245, 3831, 6913, 7152, 9187, 2669, 1991, 4357, 5677, 3388, 6803, 5572, 9580, 5088, 9965, 2798, 309, 3608, 7879, 4030, 5726, 8020, 439, 4730, 4366, 5812, 2444, 9403, 8646, 9323, 7342, 5446, 9963, 8223, 5886, 9056, 1780, 2063, 9998, 7107, 4211, 2109, 4026, 8419, 2326, 2058, 3945, 1002, 7597, 7965, 9458, 7541, 5464, 7157, 608, 4833, 9079, 5747, 7529, 6506, 4484, 6623, 3590, 3876, 2503, 4939, 7516, 9508, 8118, 6620, 7122, 5585, 1708, 8224, 5047, 2855, 1424, 4806, 5942, 5655, 966, 9597, 48, 2438, 6245, 6201, 2586, 174, 7002, 4370, 6687, 1305, 5899, 7440, 1749, 5188, 452, 5165, 7136, 901, 4475, 9538, 7245, 668, 2447, 4555, 3196, 2563, 6466, 4511, 861, 2610, 8136, 5144, 1324, 5184, 3779, 5018, 5480, 8268, 9472, 4848, 2320, 792, 2483, 8440, 7773, 3375, 5209, 2809, 4409, 6772, 7066, 1473, 8189, 8996, 8666, 7308, 3776, 2006, 3013, 31, 6962, 7845, 1056, 7036, 7610, 6407, 4737, 6108, 6532, 5103, 3155, 6304, 5452, 9040, 6470, 6623, 8642, 4401, 6015, 4102, 1588, 7157, 7363, 6680, 4701, 1415, 5685, 1370, 2250, 4964, 8924, 418, 8839, 6756, 1311, 2947, 846, 8856, 808, 7880, 1368, 7953, 8875, 4885, 9318, 1813, 6905, 3096, 8896, 1941, 3994, 7995, 7291, 1457, 1602, 9132, 1323, 1185, 3864, 5383, 6266, 4637, 9148, 3719, 5030, 7569, 3567, 9390, 7652, 4173, 1166, 5752, 8076, 7375, 6644, 2840, 2779, 4951, 1270, 9256, 3783, 7686, 4011, 7172, 9975, 3611, 8877, 2358, 2732, 8323, 911, 2916, 9374, 8423, 9968, 7172, 7790, 8890, 8205, 1619, 139, 6294, 5669, 5375, 9230, 5313, 404, 7828, 3436, 7710, 3639, 2567, 4072, 7595, 1858, 1110, 8903, 733, 348, 6557, 9970, 2756, 8685, 2702, 8695, 7532, 9920, 3326, 285, 4043, 8730, 8809, 9770, 9813, 7370, 2802, 9828, 6411, 8049, 2212, 9910, 5802, 50, 2400, 8347, 4435, 5751, 388, 9506, 5999, 8518, 7139, 8109, 75, 3718, 8939, 8434, 5326, 8626, 9934, 1530, 3974, 1405, 2585, 682, 3604, 4577, 7770, 138, 8159, 5005, 7318, 811, 6302, 8694, 2890, 3212, 2812, 7470, 342, 4316, 1054, 3534, 9836, 7496, 9120, 1341, 3061, 2998, 1529, 2903, 4425, 6210, 791, 6150, 6365, 8222, 3736, 5947, 9682, 8447, 1890, 8368, 1174, 6539, 4334, 3435, 687, 9835, 5436, 9664, 4432, 4317, 8559, 9187, 7790, 1704, 6058, 5497, 8938, 3378, 9326, 9153, 8296, 8625, 6411, 9577, 4070, 2027, 5414, 664, 9239, 5477, 9100, 5481, 2343, 4083, 3664, 2383, 5278, 2467, 5901, 8676, 701, 7409, 7163, 1867, 4367, 5915, 3991, 7745, 6268, 4808, 4783, 9841, 7046, 9219, 2597, 1220, 8613, 5819, 1433, 882, 7070, 7471, 5800, 4862, 1579, 5323, 6257, 9620, 3487, 6406, 5523, 8973, 350, 1909, 3859, 7109, 1603, 5135, 9973, 229, 441, 288, 651, 7016, 1668, 9169, 5060, 1276, 5646, 1430, 951, 3248, 2967, 7952, 4450, 4484, 402, 8146, 9740, 7720, 2793, 2775, 5021, 5490, 1840, 1141, 9174, 4634, 1043, 8403, 1492, 4742, 1501, 6713, 1943, 63, 5009, 5372, 9954, 7185, 244, 3732, 8203, 6907, 7791, 4993, 5617, 5706, 7327, 2912, 3905, 3703, 7670, 3832, 2476, 1601, 1523, 8372, 5417, 2525, 730, 2478, 5274, 7576, 4826, 7606, 7362, 5123, 2869, 1358, 2808, 5166, 2512, 898, 9793, 2156, 9115, 5976, 8484, 8838, 7078, 9798, 3808, 4104, 4300, 3738, 4605, 4220, 4926, 741, 6070, 1909, 5015, 5643, 4914, 4184, 6790, 306, 3557, 811, 6970, 2697, 9616, 6443, 8008, 8187, 7532, 1336, 1454, 1349, 8005, 5593, 4715, 1257, 7917, 9536, 92, 5389, 4496, 6152, 8588, 6635, 1581, 2129, 4147, 6163, 4994, 1250, 7642, 2769, 2993, 118, 2534, 6623, 486, 5351, 1997, 7919, 3422, 8902, 9122, 8603, 8914, 2852, 8591, 4429, 1568, 6146, 9252, 1873, 1306, 1015, 8616, 6819, 9036, 4339, 8709, 4262, 2726, 8437, 8326, 9190, 8084, 2693, 914, 4548, 1040, 9688, 5816, 576, 9510, 3791, 255, 707, 3478, 3684, 4330, 9755, 4378, 5474, 4743, 2716, 5590, 7781, 1897, 1951, 9828, 2287, 7330, 4776, 1020, 6557, 9497, 1120, 1456, 8233, 7115, 19, 1898, 2395, 8133, 1731, 2906, 3605, 2778, 809, 1496, 6300, 1209, 492, 5155, 3646, 6416, 4280, 3379, 6645, 6581, 4013, 7128, 3897, 1785, 4965, 6860, 9070, 3827, 6537, 9866, 8521, 6804, 7247, 2311, 515, 2254, 6265, 2362, 6177, 1983, 6212, 1183, 6149, 5076, 5310, 6659, 7894, 1957, 9096, 5289, 9492, 2282, 4553, 8263, 5943, 2387, 2745, 9797, 8345, 6071, 7756, 873, 1900, 6702, 5998, 4650, 5299, 9605, 3772, 9835, 5857, 916, 6897, 9480, 1019, 6390, 9516, 4667, 6306, 8816, 701, 3298, 5426, 3202, 9197, 8218, 3574, 416, 7281, 1388, 2534, 5575, 1961, 4568, 9683, 2566, 220, 3981, 6725, 3533, 7034, 7049, 3572, 7590, 792, 8608, 9081, 7982, 6467, 6218, 9628, 3482, 2168, 5889, 5414, 3625, 6788, 9386, 2311, 1442, 8298, 9432, 2341, 8504, 4249, 4901, 3152, 1877, 761, 1386, 7400, 220, 7648, 4865, 4614, 9553, 3298, 6212, 7047, 2874, 3702, 8196, 2359, 1329, 3738, 9107, 1563, 6032, 8220, 145, 4204, 5511, 5298, 1775, 1659, 4208, 7443, 3583, 6816, 8583, 5070, 7992, 8122, 207, 422, 7911, 7285, 2554, 2308, 4264, 8702, 6999, 7795, 6492, 9258, 4546, 8536, 4635, 9748, 2064, 5400, 5446, 5619, 9949, 5897, 88, 7144, 5782, 4847, 5093, 3872, 409, 3864, 3161, 6565, 3666, 4806, 4283, 8674, 805, 1398, 4808, 4728, 6516, 6532, 3157, 8351, 710, 3391, 4637, 2378, 4755, 4355, 6792, 8364, 2395, 9716, 4839, 3837, 7259, 3812, 5665, 7226, 740, 638, 3093, 2000, 8221, 4934, 2560, 5762, 3883, 3623, 4176, 2802, 1805, 2267, 2030, 8765, 3235, 2508, 1784, 391, 2726, 2234, 187, 5954, 5726, 6564, 1334, 9726, 2745, 124, 4514, 9584, 6465, 1320, 3633, 1213, 8529, 3199, 8381, 9191, 6372, 8698, 5810, 4582, 2650, 331, 9191, 7354, 4275, 4056, 3153, 8088, 1089, 9622, 3333, 502, 6185, 7866, 3890, 5672, 7803, 7079, 4265, 1552, 4198, 3749, 5905, 9041, 9276, 9502, 5544, 4760, 1450, 8759, 3616, 9588, 4572, 1348, 8053, 9513, 541, 5812, 2604, 7516, 2799, 2490, 1189, 8023, 53, 3529, 3491, 9076, 4753, 292, 6921, 8096, 500, 6690, 2121, 3338, 239, 438, 4676, 6740, 9243, 9039, 7242, 7129, 9875, 3479, 8098, 7658, 684, 8589, 1264, 5944, 9463, 385, 8379, 7379, 4002, 742, 5566, 6255, 6158, 885, 9363, 765, 9655, 7944, 4930, 6007, 5587, 3668, 2123, 3423, 9586, 3752, 7286, 3534, 3463, 5923, 1039, 9541, 6493, 2842, 7947, 9628, 7773, 4964, 336, 3748, 1801, 8993, 8495, 9208, 9923, 4518, 4742, 7757, 5939, 7599, 6190, 8120, 7201, 475, 1610, 2966, 4402, 2604, 2835, 5803, 2525, 6818, 8086, 2005, 8608, 8777, 6580, 9467, 2902, 3989, 4624, 5052, 6298, 6008, 9682, 8970, 7409, 3410, 9713, 1943, 8191, 7597, 5059, 1084, 8161, 3758, 320, 8496, 3901, 5798, 4312, 8159, 1744, 7051, 1190, 5235, 4797, 9069, 4926, 7539, 6967, 1859, 2598, 2096, 3689, 9306, 4264, 8850, 4559, 2344, 4902, 1419, 7230, 2705, 445, 6141, 1774, 1431, 6401, 667, 8159, 9662, 7079, 4413, 8734, 6731, 1303, 4904, 5943, 5017, 8922, 6527, 1685, 8206, 7191, 3256, 7141, 8882, 4468, 4984, 8531, 2362, 232, 1529, 9004, 8679, 3294, 8538, 6033, 9582, 8577, 7713, 7145, 8329, 2295, 1571, 3994, 1020, 2704, 8096, 2321, 5767, 2902, 5250, 461, 8706, 9311, 3234, 6450, 483, 6630, 2519, 949, 4422, 252, 4834, 4082, 5578, 7234, 890, 1426, 1534, 8318, 9892, 5988, 298, 5475, 8420, 2203, 8749, 2604, 338, 6709, 4166, 5311, 3180, 7057, 1437, 2230, 831, 8736, 6215, 6777, 1299, 3046, 7600, 3445, 4992, 8665, 5212, 6801, 1014, 8469, 1279, 300, 828, 5471, 4389, 9422, 2969, 6967, 1468, 3644, 4001, 1277, 7069, 8121, 7972, 7057, 6931, 1356, 3759, 9957, 3036, 4204, 8694, 2199, 7302, 8991, 7640, 9784, 7240, 4294, 644, 3882, 5660, 2165, 5278, 3974, 3603, 7647, 325, 520, 3764, 6174, 3589, 388, 7900, 8788, 7016, 6273, 4160, 6483, 9054, 4090, 4659, 3098, 5622, 9533, 538, 2035, 4462, 916, 3065, 5566, 4745, 256, 9096, 4779, 3559, 3133, 9533, 171, 5584, 764, 5980, 1950, 8893, 9530, 737, 6769, 5711, 2856, 5498, 1281, 6262, 9025, 2769, 8056, 4221, 3356, 3276, 2988, 6343, 2966, 341, 25, 7443, 9789, 4620, 6638, 946, 5238, 958, 585, 6025, 7527, 7305, 247, 8935, 7588, 4772, 5195, 1292, 73, 163, 432, 8984, 8532, 3043, 4705, 9286, 3249, 3515, 9037, 7961, 8022, 7001, 1650, 6306, 5009, 8875, 642, 3212, 3532, 3393, 4183, 3555, 6434, 7211, 4858, 6499, 5290, 9885, 4188, 398, 302, 3790, 986, 4118, 7844, 4059, 1143, 3115, 5854, 2913, 955, 4457, 7303, 1513, 1454, 1154, 8511, 37, 6705, 7555, 1502, 5991, 6670, 9105, 4435, 9921, 4473, 2025, 416, 4044, 5452, 623, 1276, 5304, 8981, 4020, 1145, 8572, 316, 8985, 1255, 8533, 7167, 7045, 7370, 5261, 6375, 4042, 6533, 9036, 36, 7854, 3477, 8071, 7506, 5078, 3844, 3802, 8535, 4675, 2263, 9168, 241, 3480, 4339, 9488, 6540, 6520, 1828, 925, 817, 4952, 7187, 4326, 6290, 2047, 6270, 506, 7062, 2974, 4806, 2315, 6515, 3086, 5676, 1267, 6005, 4784, 2346, 596, 6966, 6882, 4584, 2822, 4774, 4429, 3738, 4272, 2067, 5038, 8298, 8137, 5822, 2243, 7880, 8028, 7108, 4404, 8152, 3582, 4202, 7078, 9928, 8412, 5197, 1436, 3886, 2642, 7040, 902, 276, 9938, 204, 3330, 8905, 3322, 734, 1863, 3238, 4169, 8091, 2155, 4378, 6476, 2344, 549, 71, 8571, 5326, 8233, 3851, 9560, 7580, 2341, 7185, 7544, 7172, 8141, 3009, 1235, 6046, 329, 7792, 2750, 4615, 6648, 7654, 5821, 1136, 5305, 5959, 2009, 7208, 5380, 5892, 5656, 1853, 8186, 1980, 2077, 2103, 551, 6524, 6348, 6000, 1233, 5758, 2448, 7414, 764, 3497, 5645, 8753, 4329, 2655, 5543, 7737, 8910, 9911, 3470, 8346, 7217, 7140, 1449, 1132, 5775, 667, 4261, 1408, 8173, 4413, 5870, 6945, 4899, 8940, 2076, 800, 9458, 6648, 1398, 3576, 2824, 7407, 7800, 3913, 5196, 8929, 8104, 3219, 6288, 7196, 6762, 999, 5567, 109, 3173, 425, 8600, 1555, 2154, 5393, 2057, 1317, 6415, 329, 4865, 1492, 819, 2761, 6475, 40, 3139, 6457, 9175, 2176, 1097, 8960, 5262, 6218, 1386, 2760, 7198, 4523, 471, 4581, 3310, 5513, 2421, 3159, 3298, 2829, 9564, 5613, 2980, 5651, 5154, 6561, 2328, 4856, 348, 765, 8572, 2237, 9561, 3427, 4054, 734, 2375, 3442, 7613, 2408, 3675, 3532, 7530, 977, 6210, 6925, 5066, 9536, 6684, 6484, 8993, 6057, 6926, 5707, 9458, 5692, 4740, 6436, 4590, 2216, 544, 3665, 7136, 823, 9401, 3887, 6199, 3824, 2263, 3481, 2709, 9798, 9356, 4661, 155, 1166, 2272, 2658, 513, 8854, 5377, 8870, 1159, 1860, 7651, 4614, 8658, 1621, 8476, 4139, 8721, 7570, 1839, 8805, 142, 6493, 7733, 4597, 4715, 393, 9989, 8508, 9496, 4356, 949, 6854, 7427, 6222, 4647, 2072, 9438, 7344, 9982, 8996, 7916, 1776, 525, 3909, 3857, 5441, 5030, 8373, 466, 8293, 7419, 7123, 8809, 5497, 5345, 5045, 8892, 592, 5395, 7951, 8064, 1345, 7920, 4632, 2081, 7830, 6228, 6034, 8370, 3062, 528, 4200, 3867, 2804, 3286, 3621, 82, 7198, 541, 3904, 3576, 251, 4065, 9576, 5995, 4816, 2096, 6023, 4618, 2677, 5912, 5372, 8178, 3734, 1824, 4071, 8645, 5777, 6569, 8972, 4856, 4765, 9445, 370, 5178, 3270, 7225, 5766, 5938, 8513, 6341, 6634, 9749, 167, 7988, 5783, 5591, 5236, 9315, 4376, 3721, 7034, 2997, 6141, 1272, 6718, 1884, 3360, 5537, 337, 724, 1129, 5829, 4480, 1671, 7181, 443, 4017, 8292, 2697, 3465, 8907, 7655, 6795, 9051, 600, 4788, 7008, 8812, 9898, 7110, 6678, 7042, 2053, 1454, 8844, 9640, 4203, 5850, 6351, 9854, 7455, 4801, 3302, 3160, 9706, 9941, 198, 4248, 5623, 8342, 6601, 6759, 8330, 5452, 2414, 8695, 7028, 7679, 9255, 2799, 1154, 1617, 3899, 3016, 1788, 2581, 1650, 5974, 3555, 1988, 6481, 7448, 5135, 8686, 9412, 9453, 9176, 8095, 2046, 3329, 9171, 1311, 3432, 6268, 2721, 4051, 5857, 9107, 8613, 4371, 1657, 3108, 1975, 834, 3377, 4044, 1794, 1821, 7201, 4190, 8025, 9549, 9489, 5490, 1391, 1615, 7214, 499, 6723, 922, 539, 7422, 3467, 8367, 5442, 7031, 8947, 6684, 6140, 1042, 5805, 9129, 6207, 1768, 7642, 6010, 4412, 548, 6943, 8553, 894, 7666, 2897, 6119, 9412, 2338, 7855, 4113, 8739, 1991, 4428, 99, 1200, 3242, 9174, 6979, 6657, 8156, 3459, 3092, 6512, 9529, 7125, 1802, 5260, 7986, 3446, 2225, 1195, 9248, 995, 3879, 3916, 832, 4168, 1856, 4800, 8633, 8973, 558, 9671, 9845, 3581, 1739, 4997, 8677, 2933, 1046, 4600, 1409, 5066, 8986, 3648, 8580, 5812, 3464, 4885, 4154, 7177, 1383, 1926, 7095, 3454, 9053, 8057, 7137, 4244, 8137, 7858, 4465, 8775, 914, 5302, 44, 8358, 2635, 6063, 194, 8463, 6563, 6637, 4600, 2228, 8078, 6219, 2915, 68, 7445, 8909, 9038, 584, 8063, 2853, 7757, 3131, 1137, 6403, 5210, 2255, 7530, 6806, 8240, 1654, 6236, 5788, 1215, 1837, 5, 5927, 5546, 5823, 6017, 1037, 7954, 4047, 6268, 2178, 175, 3274, 7141, 584, 5847, 2170, 4954, 349, 5332, 3002, 2416, 7894, 1043, 8419, 5266, 7588, 9733, 8847, 2131, 290, 9235, 8793, 2708, 6405, 7961, 2923, 5806, 7489, 9723, 3212, 3740, 3930, 2858, 2264, 9426, 4508, 8665, 9884, 3794, 3235, 4971, 3327, 6203, 6604, 6512, 3692, 1374, 1781, 8192, 491, 990, 70, 7382, 1530, 2095, 8282, 2879, 8693, 5474, 443, 5703, 4998, 8714, 2586, 9668, 6376, 6262, 9510, 9397, 8175, 3204, 1200, 730, 28, 9327, 6965, 3047, 2335, 6807, 9841, 2255, 6967, 4659, 437, 4289, 7059, 4132, 5867, 9638, 9364, 3669, 1377, 5253, 5106, 4447, 9416, 1226, 1748, 8310, 5607, 1104, 925, 7309, 5351, 7506, 7377, 6431, 6175, 9056, 5939, 2802, 817, 631, 546, 3464, 6956, 9713, 2946, 7269, 8729, 7336, 7240, 4556, 4615, 5272, 6691, 4292, 6507, 6075, 5949, 7044, 155, 8950, 9203, 76, 7516, 6063, 108, 6640, 5897, 8651, 7476, 2508, 2653, 9310, 24, 2994, 9225, 7602, 4322, 4641, 7685, 8097, 2615, 8, 4449, 6166, 5513, 2233, 9337, 3627, 7678, 6319, 9400, 5486, 2936, 225, 9658, 8259, 2325, 1890, 2819, 7159, 5639, 6424, 8125, 7553, 7426, 637, 4099, 4796, 2831, 7068, 2351, 1519, 3872, 512, 9133, 9173, 3584, 4338, 9846, 8554, 8115, 2043, 887, 9543, 991, 7802, 9083, 3484, 7684, 9026, 7383, 5193, 2780, 6790, 5310, 3614, 5991, 3162, 2002, 779, 2464, 2063, 9489, 8895, 4124, 1627, 6310, 4947, 8268, 2259, 4947, 4723, 4193, 1188, 539, 1227, 2830, 5040, 6271, 204, 6399, 2313, 6129, 9582, 5821, 7697, 1652, 1783, 4218, 8974, 1448, 4283, 2302, 285, 2759, 7159, 7042, 6469, 6392, 4527, 4704, 552, 5154, 8862, 5232, 2507, 6105, 4873, 5783, 6423, 8265, 1952, 189, 7105, 4041, 9902, 825, 4052, 6879, 1106, 7407, 5783, 7522, 1142, 397, 4651, 2913, 4052, 4399, 9428, 1162, 5393, 5632, 8465, 201, 613, 7549, 2014, 7518, 4579, 6071, 6612, 8643, 9625, 2727, 5437, 9568, 1588, 7246, 9887, 1618, 3672, 37, 3599, 1380, 9930, 1917, 779, 1538, 7321, 6829, 2920, 4918, 4622, 5388, 2559, 4027, 6712, 2452, 7616, 6929, 4243, 4802, 9926, 4794, 790, 8727, 7808, 7319, 9308, 7124, 6924, 4933, 9711, 3215, 7417, 3037, 2171, 6036, 5052, 6145, 3985, 2441, 7756, 703, 2131, 9107, 6177, 9814, 3114, 6779, 1114, 6085, 2184, 9334, 6712, 5711, 3989, 3576, 5225, 1495, 2742, 204, 7315, 6999, 9072, 2168, 5006, 3896, 4703, 5266, 1132, 5079, 8379, 3316, 2702, 893, 9815, 1766, 7980, 5813, 7868, 3183, 5168, 421, 9303, 4565, 5170, 6959, 7410, 5350, 5898, 1665, 1013, 134, 1885, 6682, 2994, 2960, 666, 6315, 9550, 8949, 3323, 4918, 3967, 7681, 8599, 2408, 2561, 9050, 6227, 9212, 146, 2931, 6117, 211, 2324, 4453, 5031, 4354, 2273, 1949, 1517, 137, 3813, 4820, 3612, 7748, 3648, 8910, 6294, 8589, 8013, 9008, 8497, 653, 786, 2655, 8283, 46, 1267, 5951, 9581, 3423, 7616, 7762, 5211, 6898, 9732, 6901, 904, 1378, 8259, 8783, 2619, 4241, 158, 1972, 384, 9480, 9094, 584, 790, 4267, 2615, 340, 3525, 2272, 3420, 578, 3066, 5083, 6019, 6528, 9654, 792, 2473, 7581, 4731, 6813, 1080, 5685, 8516, 9351, 9392, 8514, 8810, 7576, 7581, 7694, 3257, 4538, 9974, 8607, 8283, 4597, 652, 8707, 3326, 6154, 2693, 4725, 1240, 9751, 949, 6093, 2180, 5748, 1343, 6941, 8723, 5844, 3803, 9238, 9748, 6197, 795, 2787, 2021, 8165, 2973, 4825, 383, 9220, 301, 5722, 9005, 8324, 4005, 625, 2045, 3429, 4398, 133, 5734, 139, 2166, 3428, 7931, 7552, 2107, 7213, 1053, 4089, 9540, 8235, 2564, 5456, 6670, 7277, 9965, 1447, 8014, 998, 677, 5741, 8472, 139, 2102, 7098, 5109, 8483, 7857, 681, 6408, 8324, 975, 3644, 1626, 3525, 3262, 1391, 8718, 2591, 5366, 6629, 2030, 8209, 3824, 191, 1263, 9877, 5048, 9472, 2629, 2245, 8386, 2583, 4591, 4671, 8154, 4542, 2299, 6201, 9001, 3815, 9269, 8585, 2156, 9694, 8151, 7046, 1900, 9885, 7584, 9274, 4675, 5075, 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3270, 9054, 4818, 1001, 3947, 2658, 5491, 9557, 2971, 7173, 8214, 1117, 8971, 803, 9055, 7411, 5949, 1875, 8209, 8638, 276, 9847, 4619, 4523, 3132, 189, 3817, 8891, 1850, 2662, 7815, 2854, 1893, 4147, 8035, 7827, 2833, 9777, 1065, 473, 5859, 4713, 3996, 4792, 9105, 2193, 1775, 2947, 9942, 1919, 4433, 8216, 6725, 1382, 2691, 2214, 9162, 1256, 2692, 8174, 9335, 9153, 1676, 9987, 4834, 9372, 172, 2988, 2784, 5598, 8244, 8446, 5025, 1966, 669, 1321, 3561, 4014, 6047, 6552, 6505, 7785, 9991, 8339, 7191, 6606, 3418, 330, 2565, 6096, 2009, 174, 2056, 921, 9678, 6522, 2702, 3884, 1413, 9760, 3144, 4083, 9459, 9862, 7047, 3598, 7550, 1807, 7669, 1372, 7107, 4181, 6474, 1424, 4368, 4029, 1385, 9985, 4062, 6169, 7828, 3794, 6053, 6373, 6200, 1130, 8865, 8026, 1881, 8598, 8980, 6944, 4179, 175, 9293, 1654, 1918, 5638, 3116, 2220, 2238, 6038, 2955, 745, 1792, 5949, 5758, 1304, 9208, 4317, 2129, 6678, 1517, 9969, 9238, 3121, 9905, 9606, 1144, 5014, 6710, 9118, 1401, 7580, 2330, 987, 6058, 9244, 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3600, 1380, 9721, 5806, 3971, 9505, 1031, 4219, 5674, 7782, 5728, 9466, 1163, 835, 2665, 9008, 6227, 5059, 7246, 978, 7504, 642, 2300, 2085, 1352, 4397, 4210, 7154, 8222, 3707, 5601, 4053, 4135, 5443, 4090, 366, 3939, 4216, 5819, 2991, 5, 3140, 3703, 4640, 4565, 7229, 8004, 3825, 8457, 5563, 574, 2833, 1817, 7686, 574, 1043, 2053, 3026, 7074, 5100, 28, 6045, 6385, 4868, 4607, 8768, 9162, 5137, 8660, 7592, 8716, 5699, 8078, 5327, 2050, 5446, 2411, 6031, 2589, 5599, 1271, 2449, 7273, 6282, 7539, 9228, 5724, 4253, 5373, 3462, 7467, 9420, 1342, 2097, 8191, 9790, 6844, 1375, 2172, 7899, 536, 9033, 4771, 99, 6444, 6134, 4133, 7454, 8796, 9751, 6158, 3046, 5367, 8296, 2710, 8742, 6902, 6045, 4155, 241, 2992, 104, 6293, 3332, 1843, 7126, 3416, 1651, 8933, 1043, 4956, 990, 797, 3442, 3338, 5167, 8002, 6414, 5113, 7269, 5600, 7080, 5212, 914, 9972, 5239, 8704, 8500, 731, 7353, 7506, 7196, 7940, 2021, 3502, 3060, 8217, 2973, 1333, 7814, 9893, 6917, 5457, 9263, 834, 8053, 6556, 5264, 6345, 2781, 4667, 7382, 4115, 7389, 1676, 7710, 4615, 1030, 6047, 3, 2881, 457, 7217, 3592, 3541, 7446, 2801, 4859, 524, 3542, 7168, 9376, 543, 8278, 7628, 3989, 2240, 8914, 5372, 4130, 1923, 9498, 3658, 1486, 2096, 4111, 1686, 3821, 1588, 9925, 9130, 7427, 6748, 5048, 4058, 7314, 1249, 4045, 186, 7127, 4006, 4374, 1610, 7623, 9991, 2083, 5388, 873, 8508, 5175, 4202, 882, 2174, 3851, 2598, 655, 7505, 7147, 8864, 5367, 705, 9621, 925, 6640, 4196, 9771, 5443, 1041, 9832, 8897, 6080, 6825, 1977, 8438, 6712, 7288, 6038, 922, 7357, 9460, 1133, 9343, 5525, 4800, 784, 776, 9074, 6602, 3773, 1234, 1164, 7409, 1940, 6422, 1560, 7419, 7465, 8053, 1657, 5629, 1836, 8397, 1200, 4539, 2499, 1475, 4426, 2898, 9230, 2569, 4048, 1630, 3059, 7200, 906, 1517, 9041, 8060, 375, 4866, 1058, 6760, 6864, 9582, 4752, 1259, 6953, 5178, 6516, 6933, 8201, 107, 4026, 3836, 4611, 5415, 1038, 9126, 294, 3197, 6722, 8752, 2497, 7635, 8557, 6900, 8667, 3, 4430, 6251, 3333, 3365, 4592, 7006, 7115, 1743, 1233, 8346, 6723, 8018, 9721, 514, 2993, 8191, 6624, 6108, 7051, 6021, 6226, 9286, 8151, 9904, 4163, 9538, 3749, 3559, 206, 2994, 384, 9050, 3176, 8010, 6793, 7642, 5435, 3788, 6813, 6506, 884, 8191, 6120, 1974, 496, 8683, 7681, 6541, 6079, 3606, 931, 1444, 1338, 9022, 7411, 8064, 4758, 1860, 2202, 2675, 5111, 5343, 6490, 7901, 6742, 5375, 1133, 9010, 2063, 6284, 7403, 6178, 1662, 9891, 4779, 974, 3185, 3569, 418, 787, 2582, 6024, 4049, 7649, 7206, 6751, 7888, 1607, 6213, 6028, 5203, 4352, 6003, 3686, 8226, 9110, 7992, 3023, 4993, 349, 5486, 3604, 2884, 6916, 2167, 4966, 2752, 5598, 1665, 2970, 3826, 8284, 7083, 2455, 9336, 2353, 2554, 9076, 7585, 7435, 3217, 6247, 6898, 550, 9962, 118, 3634, 3348, 1874, 1415, 7749, 1362, 7208, 6093, 4482, 2124, 9425, 8975, 4976, 513, 2718, 840, 8651, 1873, 6894, 4883, 8763, 3501, 6097, 2957, 8221, 5038, 7539, 8642, 9637, 7043, 1424, 7355, 7535, 6750, 6086, 3017, 4819, 5103, 8994, 5787, 9690, 7495, 4118, 7456, 3259, 7523, 8726, 9279, 5598, 3900, 694, 3017, 1521, 833, 8766, 1197, 4255, 8141, 1299, 1735, 7903, 6555, 2407, 7405, 4939, 7850, 2974, 8902, 4844, 2631, 9126, 8568, 3572, 8801, 9413, 5077, 7274, 6886, 9821, 6778, 8990, 2435, 414, 7876, 8287, 5658, 4647, 5922, 1141, 1564, 749, 4969, 477, 5471, 5719, 2767, 2833, 2109, 2403, 4839, 3522, 6353, 2419, 5927, 6537, 8331, 4848, 2363, 2130, 1540, 5918, 4550, 4855, 3439, 7475, 2449, 804, 2480, 1682, 1856, 5422, 2813, 2430, 4164, 3858, 8268, 1525, 4727, 5522, 4027, 1759, 7755, 3582, 8951, 2641, 5781, 6785, 9772, 9158, 2166, 7948, 922, 2634, 6753, 8555, 6697, 7926, 8277, 9508, 3337, 8191, 6881, 7347, 7891, 9042, 2489, 7174, 4777, 3539, 5471, 1359, 4310, 7261, 8236, 9970, 4281, 8268, 3348, 4609, 6688, 2959, 375, 411, 5643, 4241, 3826, 3970, 3069, 3081, 7036, 9342, 8630, 5042, 1192, 5769, 4187, 2349, 2, 9241, 1514, 1312, 9104, 6291, 2198, 2192, 6406, 4368, 3304, 742, 845, 6507, 6644, 9587, 2925, 4986, 8846, 5240, 7715, 9100, 1691, 927, 9728, 8006, 7463, 9274, 3061, 5961, 530, 2538, 538, 2198, 9446, 9413, 2823, 784, 3436, 9997, 9283, 7913, 6311, 6366, 9758, 5775, 182, 3424, 6890, 1958, 4703, 9776, 9539, 60, 8366, 6113, 7241, 1765, 3204, 7786, 6802, 6033, 1917, 9079, 6357, 1558, 2384, 6744, 7432, 2437, 177, 4579, 8387, 4750, 5069, 413, 2434, 2658, 1487, 1890, 4307, 8660, 8955, 3777, 3382, 3449, 8631, 828, 7777, 2505, 6654, 2200, 5255, 8820, 8735, 6627, 1726, 2512, 8038, 8488, 373, 2040, 6099, 5020, 6374, 1114, 9494, 6894, 1112, 3451, 2292, 6059, 1223, 8946, 8743, 9306, 2376, 8568, 7441, 592, 5669, 6045, 364, 2061, 3139, 9653, 3168, 9935, 6365, 9440, 708, 1, 1093, 5453, 2315, 7965, 2425, 5249, 6953, 1065, 6325, 9409, 2332, 1279, 5668, 1130, 5150, 2207, 4493, 3121, 6419, 7436, 6482, 511, 8055, 5244, 6371, 1151, 1655, 4171, 3053, 1838, 5211, 1121, 398, 5635, 3204, 4097, 8903, 9038, 5798, 513, 5675, 8991, 3534, 3001, 8897, 3847, 1924, 175, 7705, 8979, 7749, 8381, 3980, 6848, 3040, 5488, 9025, 3121, 5365, 9982, 2889, 6985, 2878, 1733, 8777, 2935, 4491, 890, 4771, 9103, 8417, 186, 9245, 4947, 9785, 5876, 2159, 1119, 4489, 340, 7774, 7785, 2249, 7549, 4090, 5681, 5199, 8588, 9084, 5243, 1492, 1187, 6027, 8528, 3723, 8014, 9038, 4547, 718, 5355, 4994, 921, 9119, 3209, 4523, 5307, 7519, 7271, 5628, 7308, 7363, 2306, 1937, 2794, 8044, 3452, 8392, 428, 4452, 4880, 8445, 597, 2216, 72, 3403, 1829, 7146, 767, 2059, 6196, 4407, 5096, 1827, 2714, 7972, 8467, 136, 6041, 4040, 2253, 8068, 785, 1176, 9322, 8589, 2539, 5856, 6014, 9237, 7984, 6769, 4278, 9066, 2531, 8343, 541, 721, 924, 3845, 1938, 2440, 4352, 2040, 459, 6211, 4014, 1419, 2011, 1690, 3864, 8444, 7171, 4788, 5877, 8579, 640, 1287, 7287, 4686, 5476, 4988, 1820, 1596, 6013, 7921, 934, 9952, 193, 5931, 1655, 9127, 39, 7157, 7821, 7133, 8037, 3387, 7964, 6282, 6364, 6785, 6377, 6383, 1944, 7533, 7063, 8718, 5183, 4713, 8644, 8771, 3426, 3586, 918, 9990, 5152, 5420, 2038, 5690, 2272, 9799, 9388, 2922, 6613, 7269, 22, 3637, 6778, 6677, 1878, 2145, 6087, 8719, 4050, 5751, 6837, 452, 3480, 5001, 1538, 2669, 6542, 2216, 8153, 4912, 1609, 4307, 7099, 101, 8518, 8347, 6044, 4425, 1726, 7382, 4858, 8731, 1668, 4383, 1918, 8821, 8849, 735, 3347, 698, 7495, 6951, 45, 3103, 1797, 766, 5345, 5058, 4719, 4296, 2749, 8556, 2320, 8599, 9528, 8250, 5987, 2611, 903, 2237, 730, 6219, 6183, 4510, 1189, 4108, 7812, 4903, 1147, 8241, 7094, 5567, 847, 6540, 5427, 980, 7415, 9327, 1603, 2821, 3714, 6027, 9602, 3566, 8277, 4073, 6690, 2579, 3166, 3345, 4387, 7769, 235, 891, 5812, 4875, 9255, 6280, 4762, 209, 2470, 6570, 3501, 8772, 5991, 1916, 3303, 4357, 9000, 9163, 5691, 1603, 4290, 770, 5175, 2643, 5971, 7004, 6387, 9917, 8926, 3316, 5386, 9441, 3093, 9420, 5756, 1920, 566, 3707, 9753, 6631, 9722, 4255, 9956, 6903, 6491, 4812, 4646, 4939, 508, 7414, 8727, 5369, 6633, 4391, 8620, 1576, 256, 1102, 8585, 1797, 9868, 6993, 2231, 500, 6130, 7236, 8186, 2228, 3590, 7862, 3434, 8970, 5642, 9573, 3556, 359, 3877, 9579, 7628, 7099, 5993, 5516, 9358, 7672, 2951, 8210, 2408, 376, 5686, 1006, 6614, 9876, 4722, 6680, 4459, 6501, 8821, 4146, 2711, 9378, 6941, 5315, 3185, 488, 8552, 6453, 3214, 6470, 2823, 6366, 1640, 3476, 9672, 8084, 596, 1356, 4774, 8409, 1264, 1261, 7162, 6459, 740, 1171, 2573, 9171, 1565, 1808, 3273, 1709, 7572, 6388, 1190, 2156, 666, 1374, 2279, 3437, 9639, 8559, 4582, 9755, 8827, 3084, 9935, 2468, 4188, 1282, 4116, 8915, 9994, 1745, 4646, 8739, 8901, 3186, 9227, 4673, 3710, 4625, 2000, 2720, 9031, 6252, 6326, 2914, 7966, 5070, 6375, 5018, 1624, 2476, 9741, 6747, 8762, 6823, 6532, 2475, 8357, 9284, 1202, 788, 9787, 3250, 4296, 4075, 7176, 5671, 6181, 3509, 9086, 874, 3103, 24, 2745, 798, 4269, 616, 1582, 6890, 7905, 469, 1034, 4958, 6532, 3996, 7301, 4049, 5270, 501, 3099, 9561, 3136, 9008, 8232, 1210, 1699, 7550, 435, 9068, 1294, 2956, 2622, 7725, 2593, 1638, 7385, 3996, 5308, 8732, 9528, 9248, 6451, 6632, 8899, 3703, 8958, 3728, 1997, 4443, 7630, 9273, 5791, 7757, 7856, 620, 187, 1650, 5372, 1897, 5252, 8198, 8875, 1253, 1280, 4737, 8305, 9766, 2876, 8498, 313, 6686, 3180, 6001, 4203, 6332, 5785, 2611, 2656, 2513, 3095, 2061, 586, 1071, 4203, 8519, 2018, 2540, 6483, 4776, 3308, 8756, 4527, 8227, 313, 9994, 448, 1942, 8987, 2155, 681, 1871, 9140, 2984, 1413, 9138, 8984, 2255, 4121, 4740, 2007, 6690, 7443, 6255, 9702, 2894, 4108, 1160, 9183, 905, 7152, 3450, 3724, 8495, 3742, 3289, 8129, 950, 1292, 3867, 2330, 6184, 3167, 3970, 5298, 6939, 5932, 2804, 9093, 2480, 6751, 9709, 8856, 7744, 2438, 5794, 9002, 5066, 9963, 2405, 3442, 6693, 3742, 9371, 9923, 8507, 3845, 1048, 4605, 2591, 9761, 2262, 3145, 7765, 3631, 5369, 8283, 2073, 986, 2922, 4823, 6012, 1406, 237, 5041, 6899, 812, 3092, 5882, 1417, 1036, 3756, 423, 630, 8640, 9624, 2126, 8760, 4476, 7617, 4487, 4929, 9994, 9099, 8342, 6050, 971, 2153, 5674, 7074, 3614, 8416, 3437, 1885, 3833, 9581, 1131, 5240, 2804, 7352, 3497, 3270, 9379, 1602, 1033, 5390, 927, 4004, 8516, 3819, 2481, 2183, 7448, 2978, 4195, 7774, 8745, 4751, 2970, 4843, 4330, 1207, 6694, 3035, 4029, 3935, 7828, 6601, 5481, 8360, 6717, 1334, 6472, 8276, 7909, 6937, 5012, 3794, 7125, 3458, 8195, 6856, 8191, 1113, 7004, 5037, 4035, 4501, 3156, 6740, 7723, 9834, 6518, 3134, 5538, 9777, 2511, 8762, 2255, 2819, 5632, 2323, 3930, 2891, 5727, 1011, 2387, 7728, 9677, 268, 6129, 9320, 6372, 3197, 6789, 1029, 9357, 6231, 5051, 1738, 5772, 5010, 1791, 9259, 6917, 345, 8452, 8856, 8239, 130, 4462, 8963, 2014, 9659, 680, 7659, 5294, 3252, 4560, 2800, 7448, 6540, 5223, 3721, 3645, 5234, 3506, 404, 3877, 4141, 8882, 9751, 8040, 6989, 3764, 4582, 4895, 1303, 7155, 1194, 1651, 5805, 6003, 4636, 2572, 7711, 6662, 6304, 6856, 1292, 5819, 9538, 7513, 7170, 2111, 820, 7555, 9260, 9986, 6664, 7048, 1747, 8232, 5779, 1226, 9211, 2043, 2413, 9881, 9407, 621, 5062, 512, 6850, 5731, 2111, 3710, 396, 8458, 7614, 20, 3923, 3954, 9726, 5748, 4619, 3949, 4757, 2363, 4820, 3783, 9752, 4725, 1596, 5112, 1065, 7279, 6661, 343, 1813, 5736, 7504, 7726, 3951, 6305, 6055, 8734, 4457, 323, 6538, 9378, 9559, 4185, 7286, 3738, 8662, 2082, 1365, 7582, 1369, 3182, 6512, 9617, 1807, 1629, 781, 9248, 8652, 7933, 7662, 409, 2493, 7537, 3174, 6528, 7015, 3576, 2646, 6155, 2650, 9376, 8591, 1200, 5839, 7473, 1470, 6341, 4813, 4565, 2273, 3795, 9338, 4496, 202, 3202, 2694, 2472, 2479, 5570, 147, 5777, 5029, 1284, 4348, 5370, 6186, 5396, 9160, 1901, 2128, 2167, 698, 4680, 5138, 5692, 1769, 3705, 4297, 5165, 1145, 5817, 4850, 9519, 1975, 9369, 9593, 6753, 6399, 8607, 8955, 4267, 8104, 4187, 7223, 5170, 3689, 7624, 9452, 900, 541, 9740, 3981, 8434, 1999, 6295, 9816, 8664, 5823, 487, 7279, 5199, 8614, 3423, 6084, 9865, 5381, 8141, 609, 2464, 5979, 1303, 7665, 8791, 7077, 2182, 8506, 5826, 8497, 4281, 3891, 7512, 8249, 4170, 4299, 3698, 6479, 4111, 9095, 9588, 6594, 8374, 1991, 2007, 9108, 6910, 7640, 5536, 5752, 4531, 5993, 1593, 9943, 5553, 6410, 4157, 9492, 2517, 7785, 5183, 3007, 4468, 1386, 992, 9903, 5310, 8302, 4388, 9740, 1265, 3991, 7534, 2680, 6281, 9565, 5348, 4825, 3473, 9287, 9396, 3748, 1500, 9349, 5790, 6341, 6357, 2603, 2754, 4211, 7228, 6220, 9680, 1039, 8369, 7479, 6649, 5062, 2967, 1767, 2160, 6441, 5179, 9031, 990, 17, 4202, 3493, 9377, 5915, 982, 9239, 9488, 8658, 744, 4008, 1469, 8163, 6992, 6670, 7929, 6060, 476, 22, 1390, 7973, 2563, 2934, 4173, 4331, 1817, 6431, 4821, 3243, 6959, 236, 2174, 8922, 9365, 7389, 7341, 6628, 2735, 5915, 1563, 1617, 2040, 8361, 5152, 1997, 2266, 5880, 7404, 527, 3759, 257, 4937, 9397, 4634, 275, 982, 5827, 9953, 8442, 7790, 8385, 8190, 3223, 4307, 9091, 9081, 6417, 249, 482, 6964, 6790, 8281, 3180, 7786, 7598, 5658, 6912, 3535, 7194, 6694, 2443, 1949, 8870, 8200, 9202, 8485, 6569, 2408, 6409, 1283, 8906, 6493, 1103, 9297, 7387, 5978, 2613, 7661, 5507, 8563, 3440, 989, 9344, 6414, 2181, 4675, 4901, 6730, 6681, 7312, 6141, 3342, 7649, 3844, 4403, 7884, 1723, 317, 1706, 9272, 1933, 5239, 8650, 1021, 9572, 3482, 861, 9030, 6963, 2619, 9863, 2359, 4143, 832, 6592, 8604, 5446, 5194, 9236, 9404, 3721, 9820, 7936, 1348, 9051, 5154, 5353, 1006, 9876, 2925, 8363, 9620, 6932, 3726, 8428, 482, 1702, 5769, 5195, 4314, 727, 7434, 39, 6796, 8288, 182, 8807, 5484, 1979, 9075, 6285, 9831, 9943, 4481, 8768, 7342, 2950, 6549, 5273, 3563, 7240, 302, 4511, 601, 4271, 9803, 6343, 1010, 3229, 3658, 7311, 3024, 2377, 5268, 2068, 4576, 6490, 2286, 2592, 4174, 2608, 925, 6441, 3334, 5213, 5799, 5931, 5418, 6408, 7340, 7898, 6662, 4220, 821, 8992, 1094, 2317, 1182, 8151, 378, 3574, 1200, 3462, 3219, 5765, 2201, 4740, 8814, 4236, 8714, 1858, 353, 640, 2842, 1301, 39, 9594, 2067, 117, 1775, 8526, 4656, 198, 857, 4968, 7747, 9572, 4257, 3046, 5187, 2909, 3598, 5159, 5410, 5652, 8218, 8076, 6211, 4531, 975, 9188, 4630, 7352, 7197, 5810, 7172, 5142, 7368, 1585, 8554, 2388, 6660, 218, 3530, 6894, 3744, 8031, 3283, 6133, 8708, 2251, 168, 9353, 9745, 4562, 3365, 1891, 3361, 3414, 8229, 5324, 2147, 7805, 9983, 2054, 741, 5804, 1406, 5606, 6030, 7302, 1512, 2005, 1310, 8601, 5080, 4775, 3866, 1761, 9800, 3679, 7687, 9358, 5431, 9148, 7788, 7767, 5927, 6938, 3857, 1994, 3747, 1387, 7698, 5686, 2856, 3551, 6606, 3237, 6590, 2257, 6341, 450, 5187, 1717, 2683, 5584, 7165, 7312, 3072, 8711, 5044, 125, 6470, 8297, 6287, 8671, 6362, 6609, 3473, 7075, 3253, 1990, 5799, 8497, 6206, 4536, 8671, 7262, 4179, 1766, 2579, 5326, 993, 5117, 7625, 2669, 1455, 5439, 5512, 4270, 4321, 5647, 4329, 5980, 2620, 6605, 4712, 4652, 2111, 272, 4355, 1392, 2874, 1483, 9591, 9985, 5188, 8188, 8310, 5848, 2759, 7286, 8465, 2747, 8930, 1683, 4342, 7903, 1697, 31, 3100, 2358, 2019, 3032, 8811, 104, 8388, 4521, 9617, 7610, 5394, 3306, 2113, 7307, 6946, 9892, 3637, 517, 5771, 2222, 9402, 4003, 5621, 799, 5515, 5215, 3726, 6459, 7441, 1164, 1476, 3347, 8002, 4061, 7416, 4685, 7510, 5154, 7533, 9312, 4417, 8461, 7224, 2120, 5533, 8902, 1289, 4972, 7943, 9300, 9832, 9631, 4913, 8303, 3825, 9564, 2839, 6961, 2452, 5641, 2809, 6395, 1104, 6101, 7219, 769, 7256, 4194, 26, 6274, 2332, 3899, 2889, 8215, 706, 153, 6463, 8959, 3089, 283, 4356, 1788, 1326, 1739, 3363, 8172, 7995, 9452, 9183, 6337, 8241, 8397, 8191, 6589, 8988, 7790, 1798, 2795, 3585, 3629, 7858, 8430, 8140, 5633, 4410, 2329, 5939, 8331, 1047, 758, 1354, 2071, 88, 5163, 8663, 2379, 295, 3319, 8215, 4047, 820, 6165, 2776, 5141, 9446, 5574, 4853, 9324, 7237, 8534, 8983, 4106, 3351, 7469, 7090, 6101, 8510, 9979, 5959, 2130, 6668, 1728, 7964, 3820, 1914, 3190, 4507, 2521, 6234, 9829, 8119, 2938, 755, 5046, 6480, 287, 917, 1715, 7977, 6901, 4129, 8033, 1330, 4481, 4904, 2197, 8026, 2861, 7343, 272, 4365, 4197, 8394, 8418, 4513, 4538, 3171, 7642, 5063, 8395, 5291, 7951, 5702, 7657, 3618, 1746, 7984, 2670, 9977, 6717, 3104, 786, 4750, 305, 3432, 7347, 978, 9416, 1925, 7679, 2380, 34, 3224, 6510, 963, 1622, 5994, 5996, 7459, 3257, 3412, 9900, 2099, 57, 7726, 1760, 8130, 4519, 3278, 8501, 8210, 6841, 133, 72, 6806, 4985, 84, 7328, 1434, 7295, 8507, 1771, 6230, 6701, 8562, 6867, 5526, 8367, 1322, 4202, 7381, 1798, 4073, 731, 1653, 4144, 1104, 5158, 855, 161, 2425, 6390, 5029, 5092, 7931, 738, 5472, 79, 242, 5911, 5499, 5610, 3007, 1176, 4832, 813, 2485, 1066, 9039, 1021, 5416, 2439, 3927, 7819, 1742, 7358, 5843, 8716, 2237, 4640, 4070, 2559, 4557, 3358, 5083, 7678, 9922, 1999, 4895, 4353, 8777, 5803, 1270, 476, 6557, 9008, 982, 1784, 5057, 5968, 2237, 4111, 7253, 8463, 8336, 4429, 4240, 1967, 7707, 9816, 7453, 4946, 9018, 4323, 2815, 3546, 2120, 672, 4933, 1019, 7159, 4984, 9025, 7418, 84, 8215, 4615, 5931, 6204, 1805, 4178, 1166, 4517, 1305, 6090, 9305, 5112, 8989, 7945, 288, 4735, 1945, 7021, 8354, 1851, 1465, 5742, 6270, 924, 9699, 5743, 6604, 3552, 8094, 4218, 5687, 7506, 2978, 1455, 342, 846, 1993, 3877, 3838, 3565, 6245, 3458, 6457, 6804, 4837, 5407, 9485, 4719, 5650, 5466, 457, 9146, 1913, 2400, 9791, 9592, 2722, 444, 9345, 5030, 6054, 3348, 6236, 9783, 8211, 7716, 4916, 46, 3980, 2378, 2204, 1973, 1369, 6121, 4822, 8654, 7161, 1322, 9882, 7461, 3623, 1980, 4846, 743, 5443, 6632, 3717, 175, 1075, 3721, 7879, 6749, 6987, 9443, 287, 741, 277, 8555, 1816, 1591, 1380, 7738, 4613, 7939, 690, 7935, 9454, 1308, 5933, 6701, 8068, 4398, 2040, 4103, 7992, 6398, 7340, 5316, 1820, 4486, 7394, 3633, 7684, 3824, 5963, 2830, 1409, 750, 1205, 3180, 9554, 5004, 2846, 1340, 4864, 5134, 233, 1324, 245, 4203, 933, 2764, 6862, 7993, 5183, 5933, 622, 6975, 9087, 8684, 5496, 7233, 3515, 742, 9784, 8879, 8456, 1038, 4276, 8097, 903, 2401, 3379, 4553, 773, 6778, 3442, 5044, 9449, 4045, 7973, 6565, 997, 4571, 5046, 8316, 5913, 6515, 1743, 8127, 2307, 7608, 4948, 8645, 7026, 1879, 4196, 8926, 2201, 4359, 2318, 9742, 1135, 8398, 2550, 2184, 4334, 8394, 1317, 5283, 8790, 9238, 2867, 9069, 4215, 4904, 2784, 4519, 9069, 7903, 9527, 7696, 8305, 2838, 5114, 7780, 4815, 2557, 9275, 6038, 1968, 3539, 6264, 7032, 4575, 8153, 756, 454, 5974, 3177, 7007, 4759, 407, 9765, 5446, 5370, 8979, 9160, 9515, 4774, 7545, 4200, 6930, 2158, 5387, 6297, 6892, 5140, 4414, 5860, 6436, 1038, 4233, 3193, 6935, 2676, 599, 7299, 8243, 279, 8107, 2109, 889, 8337, 8537, 9121, 2996, 4410, 3016, 9114, 5161, 8939, 2221, 2626, 5418, 2568, 8394, 3751, 6599, 1424, 8138, 1563, 7001, 428, 4121, 4310, 1006, 1052, 8800, 5062, 4117, 3577, 5889, 4593, 7000, 5459, 342, 6033, 4798, 3409, 4257, 3948, 7582, 4358, 858, 6820, 9347, 3066, 3738, 4337, 4323, 3065, 494, 6593, 6131, 419, 9849, 4594, 1362, 1331, 4310, 751, 3606, 4702, 1173, 2394, 9732, 7466, 1563, 1787, 75, 669, 2592, 6815, 5805, 3543, 5208, 5643, 7148, 1811, 8159, 6181, 7112, 3103, 6066, 1028, 1336, 8155, 3888, 8320, 803, 6369, 1556, 6019, 245, 8653, 8878, 7034, 7832, 3892, 7286, 2943, 6976, 2800, 1573, 8658, 6914, 1821, 8517, 5732, 1326, 1322, 6208, 774, 8311, 5715, 1509, 7710, 313, 2496, 7513, 2959, 6490, 3436, 4644, 9400, 973, 4662, 2628, 5877, 2613, 391, 7205, 2456, 6994, 6291, 1971, 6720, 3176, 4827, 7923, 899, 7239, 3366, 7730, 8993, 2757, 4534, 5867, 5871, 9616, 1091, 2534, 1427, 2470, 3630, 1806, 7241, 8756, 3028, 4265, 4661, 3280, 5202, 1584, 7186, 1988, 6730, 2174, 970, 4696, 3010, 8755, 7413, 6995, 6129, 4518, 6081, 1853, 922, 3646, 6817, 7677, 9512, 6515, 2132, 8027, 7957, 2706, 7091, 8484, 8591, 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1463, 6850, 1172, 1536, 7045, 6802, 8513, 7012, 1470, 9116, 9679, 2108, 9359, 9005, 4254, 8557, 6198, 221, 7472, 6159, 9447, 2107, 8259, 2940, 5400, 5738, 9870, 7158, 7005, 7971, 4978, 2873, 4534, 7179, 6721, 6328, 268, 1640, 7598, 64, 7466, 2488, 9931, 7024, 1386, 7596, 5128, 7552, 1039, 1785, 929, 3289, 6543, 7753, 8752, 4600, 834, 6588, 5032, 755, 1746, 6336, 834, 5270, 5400, 4191, 8660, 1023, 1396, 8114, 7188, 4267, 2013, 8475, 9867, 3949, 7325, 3619, 9469, 8809, 9847, 1918, 767, 3405, 7004, 6036, 5093, 6757, 7510, 1089, 6421, 8600, 6409, 8941, 6069, 5446, 1503, 4791, 2685, 6633, 7914, 8268, 8111, 8822, 1155, 920, 5495, 7809, 6419, 1006, 8054, 4168, 4661, 3761, 9544, 1291, 7107, 2057, 5802, 8501, 8763, 666, 3538, 7874, 169, 5359, 5497, 8628, 7434, 1342, 6149, 9783, 1901, 5022, 3510, 7450, 655, 7339, 4677, 5897, 7637, 7239, 6192, 2259, 827, 8864, 8342, 9543, 6758, 9062, 8845, 5724, 7749, 9844, 6046, 4127, 1550, 2770, 4024, 3332, 2337, 9212, 1588, 8111, 1735, 2780, 3031, 4318, 8517, 712, 6112, 2985, 9892, 4292, 8039, 2334, 7189, 2218, 787, 6768, 5830, 8770, 8524, 7358, 4427, 2448, 6187, 2076, 1341, 841, 2671, 7960, 713, 6248, 9767, 4894, 6921, 6924, 7174, 7994, 801, 1507, 6845, 2368, 9965, 4694, 4586, 3863, 3432, 4971, 742, 7424, 9398, 599, 9554, 5041, 7691, 1911, 5237, 9677, 9497, 69, 8639, 7607, 2497, 1018, 7003, 8268, 7988, 1325, 9113, 6086, 7423, 5795, 5992, 6373, 8488, 8810, 6861, 6785, 5111, 2632, 9022, 9243, 7210, 5623, 9678, 977, 8723, 5264, 6962, 8615, 4759, 2378, 1436, 3419, 9288, 2289, 2042, 8152, 514, 7330, 3744, 6951, 8316, 7283, 4201, 8255, 172, 3207, 5850, 278, 4967, 5833, 4151, 5756, 3731, 2422, 6572, 3835, 8814, 1721, 3747, 2971, 3978, 2997, 8454, 1716, 1045, 420, 2199, 9947, 6195, 3037, 4019, 153, 7105, 5887, 7459, 5789, 423, 2526, 9640, 7715, 1215, 4509, 2141, 9252, 2709, 8951, 7487, 5778, 2443, 9518, 9302, 3728, 643, 196, 7951, 3704, 6958, 9247, 4110, 1815, 3512, 6723, 560, 1999, 2671, 9160, 8003, 219, 5354, 7287, 3700, 8954, 1228, 3514, 1143, 280, 7381, 3337, 5626, 6191, 4231, 6169, 2237, 2243, 9513, 6140, 6294, 9591, 9840, 3676, 9463, 9271, 1568, 5495, 9520, 6912, 5026, 376, 7127, 8168, 669, 7782, 9819, 5359, 9050, 9359, 3471, 7553, 7404, 3098, 9311, 4726, 4830, 4098, 6815, 5048, 507, 6879, 8427, 8787, 171, 9656, 7400, 5437, 5341, 4377, 673, 471, 1607, 1117, 4349, 72, 7481, 2134, 3759, 7889, 189, 7491, 9351, 7137, 5529, 5440, 4145, 5572, 9230, 5853, 9738, 8578, 2204, 4050, 3498, 5400, 5913, 4577, 4495, 829, 3073, 8740, 6219, 3312, 5405, 5313, 2907, 9532, 6346, 5116, 7880, 4816, 7464, 7103, 8582, 7317, 373, 5021, 5097, 3174, 8840, 645, 7825, 3037, 2374, 8881, 6419, 1758, 7315, 1088, 4129, 5543, 1300, 8393, 1411, 5066, 8477, 8276, 4197, 1478, 4221, 2695, 2552, 8680, 3896, 5335, 1376, 8683, 1517, 3060, 6471, 2097, 8523, 1168, 6364, 5470, 7864, 5017, 675, 4606, 4481, 9257, 6015, 8956, 9175, 848, 219, 5462, 1644, 419, 3464, 9847, 4352, 8073, 3903, 5187, 7428, 1800, 7772, 1844, 9452, 7118, 398, 7613, 9575, 4891, 6946, 8011, 7722, 4122, 7335, 3780, 5352, 3381, 1700, 1166, 9181, 5903, 8438, 3290, 9553, 8872, 5055, 2309, 4495, 4271, 1113, 3827, 8158, 2273, 5054, 4568, 469, 3065, 2509, 4515, 8128, 4815, 4662, 254, 7393, 6130, 2553, 2013, 6226, 865, 472, 4982, 1318, 1534, 7044, 3894, 9839, 811, 5318, 5576, 4835, 4312, 9197, 508, 5877, 8301, 3229, 8874, 9469, 5698, 974, 4631, 4902, 4760, 4115, 1132, 2732, 5475, 7250, 162, 7348, 8673, 6732, 3965, 7313, 4303, 4722, 7936, 1728, 9400, 5867, 5065, 3988, 4331, 2542, 8151, 8147, 55, 4801, 3531, 8453, 7990, 1925, 247, 1844, 4386, 1107, 57, 1483, 9647, 2271, 8674, 8639, 2649, 5950, 4205, 7101, 1394, 8523, 9544, 9324, 6458, 1997, 2859, 2984, 5180, 6126, 1501, 5910, 7409, 4743, 6138, 5110, 8963, 8484, 5442, 9472, 2309, 7157, 438, 4821, 6646, 2220, 4271, 8179, 1560, 3683, 1043, 2429, 431, 6771, 964, 3023, 5190, 102, 7020, 3538, 3916, 6076, 1343, 4012, 8401, 1404, 434, 8930, 6076, 5616, 239, 7345, 9305, 7066, 9054, 1526, 3633, 3334, 6642, 8221, 9524, 6107, 4363, 5218, 8987, 7789, 2120, 3717, 2066, 3539, 6216, 8862, 3016, 7484, 1759, 8195, 4433, 3364, 836, 7523, 9769, 9131, 5211, 9301, 7469, 6104, 4470, 6165, 7140, 5044, 7602, 4043, 5825, 8461, 3349, 9723, 404, 9959, 8969, 7996, 1716, 7924, 9617, 1868, 3036, 456, 2340, 3980, 790, 3257, 4520, 5129, 6538, 520, 6160, 15, 4798, 745, 4347, 9210, 2582, 8668, 1018, 7010, 7162, 2762, 1928, 8695, 8353, 7815, 1452, 4491, 133, 876, 41, 9454, 241, 5614, 4416, 168, 3582, 2931, 9076, 6369, 8502, 1405, 4925, 6526, 9098, 7041, 9517, 644, 5257, 5888, 5974, 9592, 7782, 9674, 511, 5023, 759, 7648, 5004, 3866, 868, 4943, 5257, 2608, 3234, 3908, 2586, 1092, 2934, 4450, 1144, 8190, 8136, 4350, 4142, 5957, 252, 3663, 2767, 493, 3959, 6379, 51, 5979, 7381, 9346, 5689, 5360, 2234, 5871, 4698, 6022, 4607, 5921, 6645, 6535, 3459, 7136, 7687, 6520, 1895, 8614, 6392, 8514, 9646, 4933, 4060, 9184, 6041, 4529, 8554, 7191, 7046, 2351, 9815, 4217, 2628, 7131, 7810, 3934, 8657, 6380, 7408, 5521, 4025, 3832, 5035, 5504, 2254, 7563, 1564, 6501, 4873, 460, 7895, 3611, 4670, 6736, 8108, 8143, 9054, 8860, 1977, 7893, 3612, 9967, 46, 2520, 9490, 7086, 3959, 2961, 3600, 7118, 6548, 4327, 5487, 1995, 7120, 2123, 9421, 2343, 8136, 8351, 6426, 3486, 4947, 1001, 2693, 494, 8983, 2853, 3006, 6017, 6434, 1631, 2586, 5470, 7025, 2056, 7196, 8289, 377, 3047, 2747, 7218, 8699, 7243, 5881, 7973, 7884, 1107, 8333, 6787, 3855, 8591, 847, 9197, 5322, 3082, 8546, 8887, 3898, 6362, 4346, 9356, 6532, 8237, 502, 7988, 4573, 9878, 3209, 4273, 2539, 3089, 1828, 1903, 8824, 8972, 4205, 5861, 8508, 1652, 4392, 7938, 7003, 1435, 9022, 4975, 5023, 7798, 196, 393, 6080, 2561, 1020, 7751, 4559, 2553, 79, 7182, 5647, 1104, 8863, 771, 300, 9667, 3303, 5201, 5551, 4585, 5850, 9287, 2840, 8475, 390, 3627, 8604, 1912, 9990, 4455, 4979, 2208, 4022, 8680, 2590, 6648, 2928, 1107, 318, 9950, 8139, 5737, 4555, 8908, 3496, 3483, 7029, 5617, 6645, 8545, 1423, 8425, 6708, 277, 5541, 2179, 4087, 7880, 215, 5101, 3494, 7007, 802, 2689, 7578, 3770, 9868, 8323, 5499, 7170, 4705, 2381, 7150, 5582, 2199, 7301, 9445, 6450, 3170, 4032, 6299, 5804, 4400, 5668, 7997, 1221, 9865, 6733, 6738, 9201, 4723, 132, 3635, 2, 9314, 4213, 2941, 8835, 2423, 5532, 6423, 3113, 3039, 357, 3096, 6829, 6690, 6571, 5353, 6507, 4655, 1548, 4210, 4692, 6389, 5089, 6007, 2905, 1950, 6976, 7928, 5512, 9845, 4433, 5993, 7478, 4194, 1984, 6730, 7147, 8266, 2998, 9289, 5759, 5387, 1587, 4871, 6996, 97, 806, 3498, 2138, 22, 2247, 8248, 1571, 7904, 8718, 7914, 5550, 7111, 4732, 894, 7851, 8466, 384, 7834, 2505, 1972, 1326, 5132, 5608, 339, 2282, 3407, 5022, 4198, 9992, 3647, 9427, 5682, 2346, 3395, 2139, 9068, 239, 38, 3357, 6874, 918, 5391, 5005, 9785, 574, 1201, 4831, 5063, 429, 8793, 2015, 7180, 4587, 2964, 4325, 1920, 2378, 5702, 5489, 7805, 7147, 715, 9932, 4224, 5044, 6031, 9084, 3200, 4972, 2805, 551, 8190, 997, 8874, 8033, 7994, 732, 9145, 9065, 717, 5995, 8671, 2786, 6082, 3907, 1959, 3921, 5927, 8704, 6526, 8332, 5854, 5515, 2214, 8037, 5972, 5642, 4144, 7275, 5310, 811, 3725, 7122, 7319, 6269, 912, 3710, 6485, 579, 8342, 6726, 2925, 2951, 4544, 1535, 111, 262, 8444, 7657, 7978, 8507, 8064, 7570, 8832, 8338, 1314, 4655, 3338, 3935, 3611, 4225, 4453, 3439, 3018, 19, 7397, 9626, 5781, 3374, 619, 3175, 8199, 2645, 7857, 2424, 129, 5861, 610, 4165, 956, 898, 82, 4163, 8382, 5473, 490, 2837, 4258, 621, 7168, 6043, 8378, 3135, 146, 2402, 8343, 6287, 6638, 7635, 72, 5873, 534, 9589, 8456, 5534, 8355, 7937, 9191, 5184, 645, 5843, 3681, 6027, 6509, 8865, 3191, 2949, 4334, 5365, 4722, 8507, 1450, 1240, 9867, 9415, 3472, 4392, 2064, 7882, 6712, 7285, 5256, 2087, 3134, 4448, 9754, 8028, 1178, 8664, 9741, 5083, 1167, 3519, 9742, 3746, 192, 2504, 2191, 2722, 9795, 8784, 7897, 3664, 5155, 3989, 3488, 3704, 3138, 533, 3266, 9485, 1652, 4098, 9845, 9347, 9516, 5302, 3644, 2066, 9063, 6340, 3158, 2969, 7325, 8129, 1169, 2335, 138, 5324, 4754, 5627, 8692, 6076, 3060, 1536, 8684, 8173, 1496, 3566, 535, 6031, 2186, 4941, 987, 9693, 7680, 8859, 8841, 4835, 7453, 6870, 5155, 7907, 5039, 4110, 1720, 1842, 3862, 5695, 1621, 5286, 4455, 9474, 408, 9793, 9691, 981, 3876, 7742, 3506, 9990, 8132, 6717, 5420, 6061, 5339, 4764, 4552, 982, 7066, 6316, 360, 7637, 4002, 8123, 7932, 8308, 8190, 5660, 1137, 3083, 7692, 9469, 8526, 5484, 3217, 9793, 110, 9332, 3590, 692, 5760, 9912, 2380, 7262, 7212, 3576, 8210, 9859, 8914, 1124, 9043, 2828, 8812, 40, 5219, 2303, 477, 5776, 1872, 3263, 6647, 6105, 3212, 573, 364, 436, 3576, 188, 2083, 3686, 8932, 4567, 2185, 269, 9952, 4399, 5974, 4475, 7835, 2339, 5910, 2724, 6860, 1502, 7954, 7675, 6450, 7309, 189, 9686, 4299, 7690, 7877, 6761, 7604, 219, 4389, 726, 4622, 3273, 1423, 930, 8705, 9704, 3641, 8306, 5890, 550, 6976, 6219, 2441, 8708, 239, 6877, 1548, 5145, 8841, 899, 6369, 3090, 9547, 3697, 9796, 1593, 556, 1853, 6895, 2268, 3396, 4640, 9697, 869, 9996, 6685, 747, 925, 1558, 9517, 9933, 1627, 1795, 1105, 7013, 4394, 7252, 9129, 6630, 8416, 2826, 4329, 671, 8525, 2652, 1124, 4598, 4118, 3974, 5863, 9354, 6593, 8091, 1745, 8984, 2755, 4764, 489, 6514, 728, 7901, 1884, 8951, 1474, 7242, 7485, 678, 6908, 3184, 5768, 9251, 8687, 5902, 7500, 7603, 8312, 2889, 2951, 4688, 2854, 4144, 9797, 4568, 7306, 1439, 9876, 8200, 9986, 29, 8015, 4456, 7704, 4134, 4767, 1755, 222, 265, 424, 4510, 3574, 5780, 5872, 190, 9999, 1960, 5428, 1997, 968, 5770, 5800, 1261, 2242, 870, 7708, 8765, 7520, 3361, 3292, 7866, 2853, 4587, 9783, 6116, 7911, 8350, 4130, 9019, 969, 8614, 9682, 3707, 2435, 6735, 2130, 2434, 9317, 3287, 3548, 7637, 6410, 2075, 6348, 5769, 5306, 6146, 8880, 8476, 3568, 6598, 2509, 5735, 7222, 2034, 7392, 8989, 2845, 3998, 2309, 2650, 1397, 878, 6206, 1130, 4253, 6883, 8809, 1498, 2257, 2017, 4950, 3347, 3527, 9549, 4991, 2334, 7282, 8722, 6098, 4935, 2403, 6617, 2358, 5544, 4236, 7805, 4846, 5261, 7490, 8809, 1354, 9639, 5215, 9903, 6511, 4355, 8178, 9500, 2975, 7026, 3640, 1153, 3783, 495, 1476, 3365, 5194, 5824, 474, 9401, 3972, 4400, 9394, 2838, 5788, 1560, 397, 8863, 37, 1144, 6462, 432, 6384, 2993, 4058, 17, 392, 7108, 6125, 2187, 1916, 2793, 5450, 6895, 2058, 2937, 619, 1614, 4985, 9263, 3245, 7279, 4000, 310, 6368, 8924, 4363, 7532, 7621, 2450, 4065, 9436, 923, 5540, 1801, 6917, 3394, 3199, 8187, 2630, 1102, 3498, 7347, 8441, 1234, 4432, 7168, 837, 7532, 720, 2585, 6691, 9312, 3160, 1625, 8651, 9970, 4685, 3719, 9034, 2721, 7201, 5495, 798, 248, 1164, 9718, 7241, 4740, 7519, 8771, 6471, 1216, 8219, 3603, 2555, 4760, 6137, 2132, 6471, 1823, 9337, 8354, 636, 4886, 1152, 1922, 1841, 2975, 5660, 6155, 8882, 5261, 470, 2660, 564, 4381, 502, 4046, 9757, 795, 5800, 5837, 1481, 3360, 1418, 591, 1543, 4664, 342, 4834, 4014, 8404, 6093, 7041, 9666, 9704, 5294, 1934, 6744, 3053, 9217, 2903, 4151, 5151, 5300, 9437, 1176, 6495, 8706, 3730, 1912, 9860, 7475, 9796, 1457, 9381, 2380, 9878, 2642, 4955, 1487, 6905, 9779, 4085, 6618, 26, 6120, 5079, 1283, 7522, 8810, 350, 5369, 8938, 896, 9846, 7084, 1996, 4196, 5768, 7809, 1903, 3913, 4080, 4697, 4002, 8097, 9342, 4843, 4649, 8362, 5436, 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3188, 8080, 9486, 8227, 805, 8520, 3508, 3232, 7238, 1676, 851, 7416, 33, 5924, 4051, 4446, 5465, 6930, 7647, 1263, 3478, 4696, 2879, 5385, 6921, 6039, 4640, 4213, 3956, 5882, 2827, 6207, 7121, 55, 7708, 7368, 1793, 8658, 9543, 4273, 3172, 7498, 4752, 2643, 6677, 43, 7190, 9534, 9732, 1557, 7968, 8739, 2040, 793, 1417, 6032, 426, 5375, 4873, 8808, 8692, 3177, 3602, 2518, 4681, 7656, 6087, 6083, 2208, 7201, 469, 5446, 3851, 9416, 9605, 649, 3862, 7896, 8524, 77, 1391, 2646, 4603, 6897, 5283, 6555, 8312, 4915, 3535, 5207, 9747, 8110, 4716, 7557, 5487, 9299, 4608, 2468, 3801, 3499, 9631, 4757, 7873, 9089, 3498, 1228, 6689, 3017, 3927, 6707, 4950, 2222, 8283, 9503, 3437, 5486, 2305, 8099, 9812, 636, 3097, 8343, 6609, 934, 7865, 3668, 5191, 1141, 937, 9234, 825, 8423, 1478, 2331, 1103, 5701, 1139, 2350, 9011, 455, 5475, 7697, 9709, 2482, 4547, 1929, 3888, 5804, 6769, 8827, 3500, 26, 3882, 5258, 2281, 2263, 7609, 1207, 6119, 380, 586, 9513, 6139, 6361, 6991, 5678, 3515, 8967, 254, 4184, 893, 5151, 847, 7624, 7669, 1042, 8689, 9029, 5633, 4281, 1070, 5476, 3649, 9801, 7237, 718, 5133, 9121, 2142, 1024, 1496, 616, 9395, 3478, 3316, 2025, 9050, 2847, 6519, 3036, 7370, 3722, 5631, 4130, 4373, 7027, 9312, 4393, 3040, 9205, 729, 3943, 6690, 9725, 6442, 1367, 1489, 4564, 3987, 5028, 9791, 8982, 2678, 5183, 115, 1360, 4787, 4588, 2807, 8836, 4044, 3706, 8313, 9835, 3686, 5823, 9944, 7296, 527, 6634, 2056, 427, 3787, 9202, 684, 8558, 8574, 8668, 3795, 3850, 5143, 8700, 7212, 8083, 8318, 2663, 5265, 7408, 6245, 1747, 9923, 5151, 6246, 7354, 4218, 3980, 2386, 9332, 5527, 8332, 2481, 3828, 8779, 5222, 1425, 2184, 7029, 2710, 9460, 6338, 6127, 9888, 3866, 1068, 2376, 1853, 1170, 9916, 8248, 9238, 8463, 5742, 2478, 9038, 2824, 3224, 2292, 8090, 8396, 5834, 6441, 2951, 571, 4333, 2814, 1622, 970, 7150, 9020, 7584, 8103, 8807, 5326, 7861, 2032, 3886, 1609, 5961, 4363, 8767, 5754, 7184, 1748, 7306, 6598, 542, 4711, 5072, 4942, 8696, 5759, 9925, 3051, 6238, 8648, 236, 3147, 1491, 128, 2460, 1830, 5801, 5308, 673, 5272, 9640, 1276, 4391, 1699, 5487, 9534, 3801, 7457, 1050, 1731, 7044, 9938, 4358, 1336, 2092, 9724, 2790, 1423, 3216, 9940, 2593, 7044, 7497, 4487, 5070, 8782, 6045, 8721, 9461, 3293, 5792, 2296, 3003, 6639, 4679, 9025, 3008, 3246, 1001, 8891, 7475, 4971, 4610, 3871, 606, 4864, 4126, 2081, 4116, 4990, 460, 4831, 1789, 7821, 2470, 9364, 2976, 8633, 4464, 4494, 690, 3260, 6334, 6990, 8151, 6559, 2005, 8294, 5574, 8360, 8654, 8638, 3890, 4189, 1951, 7795, 9944, 9583, 3130, 756, 3516, 7913, 9647, 9143, 1061, 5041, 3324, 6874, 718, 4547, 750, 2197, 3462, 643, 6263, 6300, 8815, 4872, 3820, 5207, 899, 3894, 4071, 9507, 821, 338, 2367, 2726, 3661, 7506, 7399, 3660, 4824, 5647, 5021, 7118, 7347, 9779, 4493, 3085, 1361, 8360, 530, 4298, 5536, 6463, 6366, 98, 3138, 247, 9775, 1959, 4236, 5799, 2301, 3027, 7683, 110, 3595, 8265, 6960, 8504, 2021, 2692, 2563, 3838, 3755, 4988, 4449, 6035, 4153, 5091, 662, 8457, 8978, 8757, 4055, 4326, 3707, 6290, 6785, 519, 6740, 2053, 2036, 4339, 5138, 4764, 7260, 726, 5189, 2177, 8199, 7108, 4805, 9688, 6038, 5130, 8666, 4062, 2867, 819, 9020, 8767, 5465, 3580, 7909, 8831, 5116, 6564, 8091, 1004, 3231, 6017, 6925, 2470, 6137, 6633, 8459, 4771, 4470, 5341, 6636, 3520, 441, 9845, 4483, 8365, 9848, 2038, 9860, 7517, 2363, 9732, 1998, 326, 7801, 4962, 8749, 3130, 5309, 862, 585, 5823, 1549, 3041, 105, 1383, 1073, 520, 4982, 9778, 8834, 7895, 3123, 9381, 8084, 3417, 5405, 9408, 1956, 4611, 9287, 9744, 992, 9489, 9714, 3132, 380, 3406, 8121, 4880, 4684, 6105, 131, 4772, 5751, 6510, 2600, 6944, 2670, 1967, 6760, 6625, 5226, 7036, 1656, 515, 5112, 9453, 4122, 5747, 2943, 9889, 3610, 7797, 4864, 4211, 1090, 9936, 383, 6174, 457, 6723, 3471, 2008, 7160, 6014, 6872, 6947, 1499, 8986, 1961, 3913, 6502, 1405, 9550, 4134, 567, 3316, 8758, 9426, 3464, 3590, 3279, 5114, 2321, 204, 5516, 3238, 5510, 5636, 4642, 2029, 7363, 1538, 3663, 3307, 407, 1267, 4919, 2144, 8364, 2665, 770, 9935, 2668, 2352, 3300, 2585, 8866, 9086, 4802, 4634, 5780, 1094, 9267, 365, 6016, 398, 8892, 4328, 2517, 7956, 9315, 1022, 9131, 9163, 2960, 4503, 9740, 9946, 4794, 357, 2327, 8771, 4854, 1883, 2536, 2010, 2674, 4170, 1092, 7686, 9173, 3926, 7412, 95, 2482, 3414, 3891, 9841, 147, 3280, 5888, 8815, 3952, 7791, 1331, 9660, 1148, 4139, 1258, 6247, 9308, 4000, 789, 7390, 8954, 9647, 2049, 4489, 5939, 9501, 6998, 6112, 7267, 5322, 5040, 354, 818, 4159, 130, 7245, 6149, 3486, 7232, 9895, 8486, 9087, 1702, 744, 4266, 3594, 5914, 7605, 9816, 2789, 4317, 3011, 1776, 2939, 9691, 2392, 5773, 6214, 2268, 6684, 6793, 4062, 6160, 1041, 2439, 2777, 6601, 1176, 6287, 7297, 4379, 2394, 8077, 1300, 4611, 645, 9668, 6236, 4264, 2878, 9971, 2884, 4916, 8798, 8946, 7864, 7500, 3746, 9561, 9495, 7366, 2871, 5078, 4732, 6998, 2588, 4387, 1505, 9751, 7801, 6917, 9510, 1197, 7399, 8577, 1686, 2552, 4790, 3959, 5642, 4302, 3353, 2175, 6587, 1062, 9730, 4246, 6931, 7768, 6115, 6711, 4746, 8181, 8289, 440, 1856, 3641, 7204, 9405, 5645, 9897, 5592, 7227, 4182, 3619, 3296, 3328, 1717, 2468, 3483, 8266, 3102, 5157, 2334, 3562, 4283, 6634, 788, 715, 2890, 7909, 9994, 8112, 8887, 4739, 8977, 6577, 3289, 8084, 5837, 6252, 4640, 5052, 7969, 8173, 9782, 9050, 2645, 1976, 5457, 313, 9515, 3341, 7158, 7796, 5863, 3243, 9152, 4382, 7103, 9846, 7858, 2803, 4812, 4915, 5665, 1416, 9666, 1373, 2629, 9046, 5064, 9343, 7366, 2536, 5126, 5402, 5122, 1430, 5219, 7137, 8562, 8644, 4839, 649, 2832, 8424, 854, 3625, 4474, 2496, 5988, 8233, 862, 5082, 8925, 795, 1204, 379, 5594, 6029, 297, 3443, 6389, 3352, 1845, 7152, 3539, 7597, 95, 2844, 4642, 5767, 5608, 3359, 410, 6038, 9064, 9833, 2397, 8396, 9539, 7943, 7224, 4781, 1684, 4539, 3006, 5809, 5276, 3575, 8440, 880, 5950, 5950, 2624, 6525, 2546, 6175, 9008, 6474, 5159, 8975, 7574, 2963, 5365, 2709, 5672, 627, 5223, 3001, 9357, 3118, 3874, 1934, 6215, 4799, 4667, 4241, 8620, 8712, 8341, 3213, 4976, 8628, 3573, 1478, 7688, 7609, 24, 5697, 1327, 9417, 1675, 9891, 1440, 6698, 4354, 7642, 7934, 2282, 8207, 7196, 7330, 2928, 7359, 5198, 9484, 9579, 2409, 7780, 5238, 8507, 9087, 6192, 8905, 4322, 1329, 7874, 2125, 1054, 7148, 6075, 4285, 3768, 5989, 7106, 4349, 4238, 1959, 3104, 3908, 404, 1591, 9858, 5518, 1704, 2203, 6435, 1495, 86, 7611, 2145, 7622, 2912, 4006, 1977, 5301, 9224, 8938, 8742, 8200, 4726, 815, 7840, 7439, 5756, 5264, 8528, 6495, 3405, 3738, 1281, 5354, 5665, 3304, 1263, 7166, 5398, 4640, 3454, 2067, 9092, 4639, 467, 5727, 3805, 8224, 5863, 2126, 870, 5017, 4503, 366, 3651, 9188, 9480, 5818, 9805, 6961, 6884, 8122, 9349, 9164, 4612, 6072, 3123, 5668, 6579, 22, 1147, 2720, 6961, 7363, 4118, 7395, 841, 9972, 1666, 1044, 3149, 556, 2046, 8332, 4257, 2110, 6070, 1564, 5850, 9692, 7032, 5729, 5591, 3867, 2034, 2749, 8371, 2197, 2558, 7375, 8497, 8510, 8778, 2172, 1258, 9760, 5488, 1432, 1022, 3943, 4994, 9921, 5950, 8883, 438, 6826, 694, 4973, 7455, 801, 8883, 5382, 4401, 2086, 9287, 3856, 7971, 7420, 5404, 8424, 1302, 1584, 8927, 4478, 7245, 4886, 6683, 5545, 3302, 4296, 7160, 5769, 9051, 5601, 1531, 2864, 4441, 2699, 8661, 5954, 2323, 8515, 5377, 8730, 7350, 3368, 4379, 5797, 334, 6009, 3513, 8889, 9488, 5266, 2271, 1709, 4223, 3807, 5371, 9225, 7998, 6135, 5870, 3874, 8373, 7252, 2574, 8316, 8522, 570, 3632, 9108, 363, 1384, 1022, 2119, 3294, 728, 8320, 1204, 4091, 2363, 7235, 240, 683, 4046, 7949, 2681, 5403, 3158, 9685, 6676, 5004, 1005, 3317, 9908, 2076, 494, 1606, 4089, 2701, 7992, 905, 6206, 6515, 7582, 2429, 2173, 2707, 8280, 9148, 447, 6305, 5538, 3620, 3396, 1141, 4712, 7570, 1748, 8183, 2754, 9223, 1990, 1855, 119, 588, 3163, 9144, 7293, 2989, 8653, 5735, 9718, 1896, 8381, 9868, 3735, 1228, 9836, 3263, 3170, 3992, 8720, 7562, 5155, 2552, 6948, 7048, 1396, 8197, 2971, 4260, 5485, 4531, 7818, 3679, 4939, 6239, 4261, 9219, 8024, 6215, 7908, 5899, 2762, 4585, 4630, 8354, 8838, 2534, 7455, 7029, 7427, 5499, 7876, 7484, 4546, 26, 519, 3738, 8007, 3074, 944, 590, 9416, 5182, 3917, 2138, 9982, 3066, 117, 9509, 50, 9974, 7337, 3722, 286, 7769, 9539, 1751, 71, 3227, 8182, 66, 2106, 5025, 3368, 5889, 9163, 9516, 2998, 5415, 536, 5045, 8130, 8402, 4696, 8868, 888, 6285, 5211, 9110, 9949, 5670, 9581, 5055, 7329, 7337, 4453, 2307, 2279, 2838, 1074, 4483, 2194, 1164, 3381, 3905, 4751, 65, 2278, 2998, 4066, 8768, 323, 2892, 3411, 9815, 8093, 1890, 6508, 639, 9909, 4630, 5367, 7896, 7533, 3890, 3761, 1552, 9718, 7257, 1285, 4071, 2272, 6036, 5512, 4158, 4923, 8035, 7906, 5158, 9354, 9978, 8826, 6654, 7293, 6462, 5319, 4164, 7459, 4758, 1506, 4038, 3206, 6098, 1994, 5421, 5689, 1910, 7386, 9357, 4538, 2234, 5517, 9721, 7215, 47, 2185, 1712, 832, 8294, 6166, 9225, 5851, 5518, 1627, 9146, 1490, 8667, 1757, 4411, 8408, 2600, 943, 4137, 551, 7518, 5987, 657, 3602, 7506, 2683, 6813, 2973, 9903, 2212, 236, 281, 3319, 5773, 6302, 701, 906, 2914, 1078, 7993, 7538, 2314, 5268, 2703, 5825, 2400, 5533, 3589, 888, 9273, 7372, 6425, 2715, 9968, 3465, 2682, 7519, 4852, 3333, 5793, 9258, 3898, 9833, 9472, 9978, 776, 7690, 1749, 2059, 8799, 2956, 9494, 5051, 4884, 5082, 9989, 9577, 7083, 7834, 2537, 896, 2764, 405, 3374, 2030, 4766, 3792, 1473, 206, 3237, 9951, 743, 1395, 4376, 8265, 8829, 5067, 4514, 5424, 4217, 1314, 99, 4751, 1019, 4922, 2215, 943, 2661, 6979, 7412, 5789, 2046, 1460, 9905, 5685, 3201, 5514, 3160, 9519, 3156, 3543, 3247, 8493, 8395, 7614, 9108, 6526, 8628, 3001, 9752, 3663, 3765, 6800, 1723, 9570, 4957, 7326, 2010, 2563, 4071, 611, 2897, 4560, 1659, 9808, 9743, 6832, 5081, 401, 2615, 8249, 8864, 691, 1173, 6149, 4257, 8629, 8212, 2516, 189, 3883, 9237, 7110, 8014, 4157, 6005, 304, 7984, 2008, 1176, 3418, 6063, 6474, 3272, 5481, 2547, 4728, 6516, 6096, 1271, 8999, 2994, 1088, 9430, 2748, 3270, 2564, 4845, 3822, 2390, 9465, 9284, 4547, 2756, 1994, 7031, 2657, 8104, 133, 1211, 6180, 8523, 5322, 5777, 4611, 1068, 7555, 520, 1269, 4071, 5028, 504, 172, 3685, 4262, 8045, 2161, 8871, 6694, 9433, 21, 1566, 6760, 1412, 5816, 5017, 5754, 3451, 3026, 9109, 6181, 851, 2533, 8416, 3833, 2464, 4542, 3204, 8290, 4413, 1932, 2416, 1364, 9384, 8742, 7307, 4308, 2334, 853, 5660, 253, 8803, 2497, 586, 9110, 6392, 9175, 51, 919, 9922, 5975, 8091, 5628, 5078, 7614, 6622, 8717, 7489, 6628, 5456, 8278, 8385, 2482, 4789, 7375, 325, 4934, 5464, 5761, 6449, 2202, 6567, 3839, 6510, 1989, 9771, 3899, 1091, 1845, 8550, 968, 4592, 3281, 6150, 8487, 3903, 3377, 8774, 1988, 5637, 565, 1282, 5165, 9637, 4190, 2446, 2496, 4507, 3436, 6977, 1793, 4835, 297, 7217, 6862, 6530, 2693, 5301, 918, 9573, 1203, 4602, 2, 5690, 4126, 2515, 232, 2244, 4518, 7792, 6526, 5716, 1889, 7761, 4443, 2794, 6291, 4985, 3027, 6296, 6408, 2612, 1372, 5533, 180, 7681, 3464, 7261, 9687, 2270, 374, 4601, 5014, 7312, 1947, 8568, 2887, 5294, 6484, 9018, 4021, 3598, 7762, 6596, 9798, 2240, 107, 843, 7986, 4628, 3243, 7567, 5723, 2018, 1965, 8686, 7517, 5171, 926, 4567, 486, 2238, 7318, 6829, 8634, 3412, 5465, 4971, 1912, 583, 7232, 8480, 444, 5992, 5320, 5676, 2462, 5067, 3368, 2100, 8220, 7270, 8508, 8864, 7209, 1177, 7979, 9669, 3305, 9010, 442, 8946, 1020, 4518, 6935, 7543, 1709, 307, 6587, 9988, 6941, 7927, 9482, 9854, 8060, 9884, 5268, 6925, 9538, 5156, 3314, 2771, 8912, 6483, 2869, 9997, 7516, 6445, 4238, 9053, 305, 5985, 287, 5994, 4362, 2770, 9318, 4153, 6844, 918, 7436, 5000, 1207, 3825, 2037, 6622, 2679, 5761, 934, 8107, 596, 8392, 689, 373, 5201, 4964, 8805, 6989, 5944, 1957, 6329, 313, 7617, 608, 4021, 3427, 3760, 8474, 3058, 5746, 4356, 424, 4267, 9814, 5355, 5852, 2702, 1905, 3290, 1469, 4565, 4096, 8326, 3618, 7944, 8661, 1477, 7221, 2400, 131, 685, 9055, 9554, 3100, 892, 3625, 8612, 5769, 9353, 7707, 7792, 3328, 9025, 8978, 2962, 4458, 7431, 3668, 5013, 1432, 2526, 8215, 602, 8240, 9402, 8747, 925, 2461, 8484, 2451, 8563, 8277, 1903, 9778, 7354, 1096, 7655, 6865, 3699, 1395, 1481, 8762, 9103, 6856, 2114, 6229, 729, 1050, 556, 2405, 3445, 4719, 3864, 521, 1822, 3384, 1342, 4040, 6097, 4819, 1485, 9427, 9207, 5925, 8665, 1893, 2985, 9879, 3845, 6866, 7432, 984, 6017, 4666, 3750, 8992, 7899, 6562, 4221, 953, 974, 2459, 1943, 6430, 2845, 9512, 6150, 584, 9067, 9321, 2321, 3699, 8069, 8271, 8588, 1022, 66, 5253, 7725, 9043, 8026, 9900, 1802, 5670, 8568, 7830, 4101, 9374, 1456, 6833, 9601, 8836, 27, 7106, 1762, 7051, 1461, 578, 9743, 4129, 4640, 9936, 1151, 308, 3574, 2225, 6941, 3163, 9569, 7437, 4319, 8356, 9526, 2305, 2728, 5907, 146, 5277, 7536, 3198, 1276, 2816, 3155, 4772, 5401, 4440, 286, 9622, 5255, 9763, 6166, 7711, 3031, 3498, 263, 6899, 220, 4291, 2887, 3863, 1277, 9878, 6962, 8398, 8500, 8723, 230, 3384, 9179, 4527, 9220, 8179, 9275, 5992, 5878, 2488, 3030, 7661, 3245, 607, 1169, 8532, 4852, 7585, 6137, 3291, 3769, 9968, 7653, 2805, 3272, 4630, 1534, 3551, 3731, 1855, 8188, 6578, 920, 7984, 1086, 9397, 7320, 7956, 8541, 6140, 6041, 9137, 437, 3091, 9320, 2299, 9635, 9816, 2997, 2539, 5504, 7867, 4087, 9904, 971, 3885, 9474, 9683, 8190, 6922, 7155, 6780, 6033, 7077, 9195, 1219, 9318, 4803, 2079, 6187, 7683, 106, 4480, 1810, 3504, 1416, 3238, 7817, 911, 6790, 8369, 3281, 9526, 8225, 9354, 5101, 6700, 1558, 5284, 9373, 3304, 2518, 5429, 2374, 1487, 9997, 7928, 6805, 9502, 4529, 5358, 1760, 4531, 227, 1944, 9685, 1080, 9285, 4719, 3677, 6644, 6213, 3122, 6830, 4875, 7388, 3341, 2540, 5287, 2780, 2493, 4096, 3665, 353, 4345, 6396, 9532, 4261, 7616, 1686, 6859, 708, 8268, 3661, 7315, 3126, 503, 3997, 7754, 513, 1880, 2066, 5175, 364, 8352, 8261, 6465, 1816, 2290, 9551, 8115, 9634, 6729, 3799, 4188, 2077, 9394, 4519, 4512, 3249, 2079, 959, 3145, 4881, 432, 6108, 4349, 7984, 4410, 1192, 8113, 8413, 6795, 3068, 7026, 5416, 1924, 1590, 3643, 1073, 7983, 8946, 5456, 784, 9109, 4306, 7264, 8971, 988, 5830, 9563, 6864, 5456, 6159, 7952, 9754, 3193, 5176, 9701, 1593, 8122, 5256, 8068, 25, 93, 9479, 1279, 231, 883, 3841, 3479, 4315, 361, 6203, 8444, 4201, 5463, 9369, 387, 527, 196, 9778, 7839, 1333, 3667, 9645, 3183, 3246, 4918, 4473, 3725, 2891, 4418, 2178, 2409, 9875, 1342, 4598, 1007, 3405, 4325, 5925, 4489, 5575, 4217, 6762, 5657, 8907, 5649, 9370, 1823, 7142, 2536, 3954, 819, 2570, 9051, 724, 665, 1020, 2659, 5189, 7791, 3185, 3655, 1206, 7938, 1390, 3096, 4433, 1292, 4951, 4891, 6089, 1879, 9947, 337, 7418, 3940, 7211, 2624, 514, 2347, 9344, 2750, 2582, 6488, 357, 869, 2502, 3790, 7865, 6647, 5982, 5662, 5771, 3116, 5808, 5253, 3917, 7292, 955, 4314, 6702, 7378, 2218, 7163, 8545, 7273, 4365, 9478, 3993, 8252, 6484, 2578, 3354, 1004, 9849, 9234, 7723, 5926, 6406, 2474, 3800, 5775, 3557, 2608, 1997, 6186, 4480, 2707, 2352, 3591, 5845, 1619, 3389, 3854, 6991, 6898, 7101, 5790, 4517, 8101, 4778, 9094, 271, 1992, 2852, 617, 2331, 6968, 7431, 2822, 5526, 390, 1998, 3058, 2111, 9097, 6109, 287, 9137, 4978, 5335, 6051, 9377, 4844, 8518, 3240, 3766, 5286, 6203, 6851, 263, 3000, 5628, 6456, 2564, 3017, 3537, 3258, 5433, 6531, 1285, 7654, 6926, 6924, 9621, 8577, 9902, 2822, 9024, 1419, 971, 697, 932, 8878, 3721, 7284, 2096, 8477, 7121, 9882, 1787, 9923, 6275, 6704, 9661, 553, 308, 1286, 8801, 9564, 8194, 5200, 345, 343, 5038, 1126, 4663, 9737, 8038, 6281, 8550, 1971, 186, 6000, 7746, 7556, 539, 6709, 8504, 3292, 7969, 1249, 1612, 5164, 8894, 849, 4491, 4898, 3622, 1849, 5002, 4246, 1040, 234, 4477, 9794, 6989, 8040, 7834, 1604, 6010, 7755, 3, 6564, 9103, 4907, 9486, 5596, 5746, 557, 1104, 720, 9913, 8410, 9890, 544, 2209, 3056, 6896, 8569, 6732, 7716, 6645, 3540, 3716, 7291, 1673, 4620, 7432, 4097, 820, 1555, 2883, 7041, 1034, 9768, 9920, 1698, 5809, 4686, 2094, 1246, 2403, 8366, 5606, 2826, 3277, 7613, 4113, 6662, 6817, 2830, 3285, 821, 2220, 7736, 9331, 741, 9246, 8299, 1578, 2394, 2077, 9854, 4031, 214, 7192, 4027, 7350, 9336, 2395, 8046, 8004, 6023, 8439, 7024, 5728, 1830, 4517, 1510, 9146, 6805, 5583, 912, 9717, 1261, 7724, 9952, 138, 2927, 6124, 2659, 4885, 8262, 6592, 9275, 8928, 1713, 6904, 5164, 8048, 718, 2022, 6114, 4470, 3244, 3068, 7764, 3284, 2085, 5174, 3299, 694, 1069, 8171, 6843, 2960, 3298, 4556, 7308, 2101, 9331, 5435, 5256, 1229, 4628, 3513, 659, 1923, 7262, 4742, 5906, 4331, 678, 2027, 1716, 2549, 3200, 3358, 9102, 1584, 8695, 1967, 9461, 7101, 9023, 6986, 6935, 843, 9571, 723, 724, 607, 582, 7422, 5529, 8772, 4720, 2809, 3134, 5091, 9557, 3478, 8531, 5693, 678, 4, 353, 71, 8740, 3903, 9023, 2851, 3812, 8892, 3077, 630, 380, 2704, 4179, 38, 3127, 1380, 6676, 1016, 9840, 518, 5666, 804, 8023, 9004, 7576, 4249, 6816, 1848, 6071, 5224, 4884, 5836, 4456, 7236, 5241, 3038, 6797, 4288, 1912, 711, 8432, 330, 4305, 4878, 2889, 907, 4013, 7016, 8836, 21, 4433, 3646, 8804, 6801, 8851, 7599, 1269, 6663, 4432, 5585, 3923, 9988, 69, 8769, 507, 9041, 3115, 7805, 1684, 2829, 149, 967, 4592, 1684, 8675, 6366, 736, 7710, 2758, 7293, 9525, 9077, 5609, 4944, 4135, 9635, 8812, 2040, 8993, 6690, 1681, 9, 5434, 7874, 4823, 3058, 436, 6772, 8830, 9624, 908, 1295, 2333, 7447, 3899, 9395, 8159, 9768, 2142, 7074, 5586, 9758, 2537, 5543, 3428, 7827, 8177, 3867, 9456, 9032, 1086, 808, 1923, 4794, 7235, 6217, 3121, 3643, 5084, 3538, 507, 6466, 2708, 7490, 9316, 4458, 8515, 9143, 652, 6455, 4937, 1027, 1299, 9118, 2114, 6122, 4442, 4470, 8102, 6147, 1112, 410, 384, 6908, 2144, 1357, 8568, 5615, 9410, 2991, 7047, 2021, 1543, 127, 318, 8724, 1066, 671, 973, 106, 1109, 9083, 6845, 923, 2069, 1580, 7997, 1541, 2202, 5429, 6008, 7982, 1856, 5543, 5420, 1628, 1493, 5702, 9149, 2815, 4717, 6393, 1279, 7601, 1629, 3156, 7991, 9790, 3889, 8666, 3945, 433, 7540, 5033, 6171, 4217, 3301, 1915, 7931, 8547, 3822, 801, 5055, 3701, 2546, 6895, 5309, 8143, 8273, 670, 4434, 4988, 6618, 7669, 8847, 6594, 1730, 6714, 2442, 4155, 5810, 703, 144, 8733, 393, 4932, 856, 2980, 8811, 6614, 864, 669, 1095, 1898, 7663, 5997, 2398, 6486, 8462, 7804, 9904, 6041, 5890, 8216, 7654, 861, 3582, 8393, 8439, 4175, 2756, 2139, 4963, 6410, 9099, 34, 9458, 6089, 1949, 7278, 2587, 8512, 268, 8409, 2179, 3902, 4350, 6829, 841, 1093, 7443, 180, 5149, 8729, 9888, 1991, 1056, 425, 1511, 9531, 4425, 1364, 8421, 1653, 3685, 6647, 5131, 2088, 9953, 6577, 1095, 2881, 77, 7897, 4536, 3068, 8884, 3448, 7682, 21, 6054, 5034, 7926, 876, 5720, 5817, 3657, 7281, 180, 2363, 3457, 5559, 2760, 1492, 7133, 6759, 2693, 2694, 2317, 6619, 9630, 5793, 4380, 357, 1383, 1123, 6434, 243, 9259, 5659, 5573, 4326, 3447, 7204, 9726, 6408, 6394, 4703, 4150, 4577, 3593, 9499, 8760, 3288, 711, 8425, 7197, 3733, 2245, 4841, 9338, 5070, 4450, 5397, 4530, 6338, 8316, 7857, 2608, 4994, 2328, 2446, 6494, 425, 3401, 425, 9575, 8959, 7230, 889, 6485, 3971, 9798, 3416, 6035, 3067, 7326, 5234, 3124, 5899, 855, 8322, 447, 2548, 4372, 1789, 8969, 2063, 9205, 6499, 9060, 2864, 6457, 8638, 4884, 4526, 7453, 3468, 6045, 824, 7356, 6004, 6996, 9281, 9506, 2720, 7200, 4703, 8520, 839, 730, 2507, 9651, 714, 3832, 309, 9041, 7866, 2390, 7203, 5623, 1990, 1201, 9988, 3348, 808, 7491, 1621, 9008, 8005, 4897, 6992, 507, 3678, 4485, 8344, 7791, 6212, 7756, 588, 5099, 8943, 9841, 4401, 3310, 7954, 9404, 1860, 9096, 5089, 4420, 1298, 8375, 1118, 7736, 2123, 163, 7735, 7057, 8454, 4994, 6124, 2808, 1626, 9559, 2841, 2973, 4932, 8909, 3218, 8607, 4988, 5803, 2680, 2668, 7728, 1530, 5160, 8495, 7661, 3561, 7497, 4225, 563, 1145, 6018, 1973, 5455, 2730, 5898, 5372, 258, 9665, 9018, 924, 2508, 9440, 3268, 7549, 1021, 6969, 9899, 8050, 8828, 3642, 2281, 2111, 7683, 4352, 2807, 5022, 4510, 655, 3197, 7298, 7102, 3619, 8674, 6518, 6144, 9444, 5051, 5713, 4885, 8000, 1889, 909, 3114, 3509, 1165, 2462, 4831, 2721, 9487, 9600, 524, 1575, 9329, 8731, 8576, 6627, 9465, 65, 4808, 6617, 869, 2243, 9822, 3947, 1195, 8105, 5989, 581, 1065, 1058, 393, 6051, 5918, 3089, 3571, 4055, 5807, 738, 8770, 9972, 8561, 3857, 2825, 1406, 6160, 4979, 5643, 8061, 3871, 4070, 2974, 7067, 8088, 5650, 9713, 7741, 3689, 6721, 4966, 2060, 1804, 7364, 5022, 3231, 5909, 2954, 5007, 2716, 2883, 6801, 990, 8157, 8287, 6237, 2387, 223, 1813, 625, 940, 6213, 8491, 1577, 8526, 9493, 9439, 1163, 1759, 3958, 8919, 1215, 9829, 3769, 9371, 9032, 4989, 5022, 5251, 8177, 3983, 9290, 7357, 1078, 6113, 9438, 2655, 3728, 4904, 5524, 7821, 9211, 6909, 1623, 745, 3691, 9695, 1288, 4201, 5628, 6769, 6504, 6609, 1808, 9525, 9228, 1615, 2391, 7440, 9185, 2246, 452, 9087, 5796, 5941, 3749, 4530, 3275, 7746, 3095, 6539, 2328, 4035, 481, 8945, 5818, 9679, 255, 398, 3233, 7940, 9494, 8904, 9611, 7704, 2737, 6838, 7476, 540, 4054, 5027, 7674, 2896, 9451, 1219, 4989, 5121, 202, 5238, 243, 1801, 7453, 625, 7686, 5572, 3018, 4199, 5536, 871, 8825, 443, 4722, 4148, 721, 3933, 4417, 895, 4908, 2451, 3194, 2198, 8696, 2931, 7064, 9940, 3180, 1285, 2674, 1386, 1351, 4324, 7725, 5173, 2941, 3149, 6363, 2273, 3261, 4198, 1455, 7547, 2741, 7822, 3772, 3328, 8, 2961, 4447, 6039, 5403, 8255, 7199, 2200, 6800, 1340, 5564, 9913, 5901, 7894, 7518, 2334, 3585, 6492, 7027, 131, 9357, 3032, 692, 7725, 9358, 8832, 6430, 4675, 9975, 5576, 9350, 2388, 8354, 6549, 2356, 2803, 8812, 5642, 3943, 3857, 1089, 1969, 9863, 1772, 5696, 9962, 1088, 6007, 7934, 1215, 5132, 9570, 3814, 4491, 6426, 7130, 5374, 3474, 517, 455, 4258, 9504, 8383, 2890, 5201, 8800, 8732, 2693, 2779, 8536, 3677, 3149, 1248, 1773, 3275, 77, 1659, 9656, 317, 4969, 2515, 9688, 5661, 4363, 844, 751, 8389, 2865, 4406, 1007, 7847, 3513, 9283, 4854, 2730, 3309, 6863, 5342, 4532, 3769, 6331, 3682, 1773, 5781, 3210, 844, 9121, 3198, 2417, 2632, 2931, 6960, 9247, 5165, 5186, 1472, 1075, 974, 3588, 6796, 1244, 3288, 6335, 2633, 8053, 1577, 6078, 3580, 3536, 702, 2149, 1523, 8664, 4660, 6143, 4650, 8925, 4523, 9278, 1352, 3016, 6585, 9359, 5747, 8295, 5994, 887, 2769, 836, 3042, 5275, 3296, 9969, 4216, 556, 6345, 3314, 7652, 7297, 1135, 2088, 5081, 9702, 8513, 4760, 9613, 5026, 6818, 8130, 5831, 2504, 8160, 6496, 7200, 9954, 7147, 9906, 6703, 5995, 4313, 2301, 1718, 2792, 1301, 4159, 3977, 657, 9137, 8608, 5322, 1122, 6249, 8424, 5058, 7966, 4018, 3502, 9815, 8126, 9695, 9179, 4619, 9319, 6104, 6250, 3669, 9329, 5297, 9338, 1995, 890, 4193, 9363, 2541, 6419, 2974, 6162, 5455, 3129, 2962, 5015, 2105, 5358, 3898, 5823, 6492, 1616, 6947, 606, 8135, 7125, 8225, 9932, 6724, 2336, 7336, 978, 2382, 1081, 895, 9580, 9451, 429, 715, 6407, 8336, 2682, 7089, 471, 8119, 4142, 5490, 1110, 7142, 9126, 8550, 7767, 1697, 7735, 7176, 9947, 3828, 3585, 8560, 5899, 4972, 2284, 4856, 38, 4969, 2474, 9012, 3112, 5305, 1608, 461, 2415, 3298, 9919, 4928, 7499, 2071, 5161, 2452, 3369, 7470, 8828, 6461, 6472, 1084, 7701, 1304, 4615, 6335, 3670, 2899, 300, 65, 2394, 7575, 7585, 1982, 5657, 9849, 4310, 2985, 2730, 6859, 5686, 9619, 9423, 2460, 7356, 3408, 9641, 441, 1914, 525, 4113, 9410, 8353, 9164, 8606, 6630, 2313, 9044, 6774, 3869, 4251, 105, 6705, 3680, 4782, 1200, 548, 7609, 1502, 1096, 7347, 244, 1460, 7295, 1728, 4129, 8644, 2239, 9319, 7247, 4899, 7378, 5620, 8699, 4433, 2880, 9000, 9493, 8440, 2344, 7389, 9071, 9235, 7901, 283, 135, 3088, 9112, 8917, 7172, 626, 1884, 6230, 6174, 2732, 6970, 7371, 5965, 3111, 5765, 4176, 1894, 3547, 3630, 6708, 1035, 6836, 9884, 4896, 490, 3012, 6333, 3876, 1413, 44, 1450, 4982, 2904, 8203, 808, 1571, 8234, 8388, 4725, 4443, 2906, 7419, 9639, 750, 6748, 9308, 967, 9009, 3216, 6292, 4687, 61, 5722, 7195, 6054, 549, 1897, 7258, 2038, 2503, 9463, 3050, 118, 95, 2080, 514, 5028, 6514, 6376, 9728, 4513, 5031, 4397, 6925, 674, 3027, 6145, 7621, 926, 1990, 6574, 5942, 7198, 6523, 9385, 2350, 1945, 7423, 4671, 2760, 6155, 7117, 5891, 8414, 3741, 8482, 7827, 8496, 7394, 2915, 6075, 612, 1345, 6079, 9151, 9961, 9910, 5921, 4869, 3384, 7186, 3826, 126, 7700, 7456, 3155, 2848, 3187, 1034, 3178, 8061, 9582, 4523, 5146, 719, 8067, 2673, 1662, 1172, 9305, 7816, 4840, 3096, 175, 4523, 1667, 9412, 1850, 9237, 7168, 8429, 6561, 1068, 7224, 9116, 6977, 7931, 4766, 5136, 6341, 3098, 2714, 4970, 558, 7495, 7865, 6973, 1286, 6887, 7044, 3766, 2271, 10, 9876, 4261, 3614, 9233, 9621, 4186, 8800, 5850, 6003, 9416, 6296, 1782, 5446, 282, 1426, 2437, 7386, 5397, 5098, 367, 1971, 4959, 9594, 7534, 1138, 2635, 9453, 1913, 9392, 7489, 1835, 7250, 4419, 4020, 2698, 653, 6725, 4238, 6321, 4582, 6607, 5017, 801, 8974, 8709, 7626, 718, 5620, 4434, 5383, 9525, 8574, 6427, 9293, 1701, 5809, 3671, 4425, 653, 9465, 4734, 8929, 2943, 6066, 681, 2723, 3290, 9248, 4695, 1131, 1954, 8975, 1527, 1015, 988, 8352, 4035, 7293, 8790, 7573, 36, 5523, 7929, 8356, 7462, 6088, 3222, 6258, 6900, 3758, 9973, 882, 2603, 9067, 7539, 9646, 8459, 2104, 5007, 3136, 3001, 8415, 7028, 9180, 5184, 6689, 8223, 2390, 9862, 9729, 7227, 4992, 169, 4775, 1303, 6924, 6830, 3229, 5355, 9848, 6879, 3878, 8826, 1385, 1219, 7777, 2740, 131, 2145, 1123, 5107, 2006, 3011, 8789, 4665, 3729, 3245, 6156, 676, 4507, 4237, 1486, 1205, 3011, 1898, 6352, 9217, 6271, 3852, 628, 4602, 5418, 6965, 6647, 5108, 793, 6114, 2300, 4766, 6444, 1325, 2038, 442, 784, 2584, 9865, 9897, 501, 4816, 1826, 3501, 88, 273, 5977, 8533, 3698, 5694, 7374, 2679, 3401, 3521, 9040, 79, 9575, 2606, 7445, 452, 3510, 8856, 4859, 144, 7456, 5025, 8627, 5583, 9545, 6335, 9237, 5196, 8010, 6867, 4277, 6627, 2546, 5459, 5919, 3412, 698, 3781, 2160, 821, 1665, 7138, 7448, 2741, 1945, 7066, 430, 5088, 8212, 9470, 8042, 1495, 751, 9672, 2925, 9540, 3109, 7150, 4970, 9443, 292, 5870, 2314, 6648, 8516, 7144, 2635, 2458, 7837, 7822, 6207, 1394, 7988, 9053, 2452, 7073, 3339, 4869, 9126, 1744, 1476, 5023, 8079, 9317, 9132, 1420, 4494, 456, 5353, 9031, 422, 5960, 7493, 9030, 9895, 355, 5031, 3993, 1059, 4272, 4447, 1831, 7877, 4844, 7081, 6770, 4945, 2575, 1096, 8625, 2107, 5432, 8959, 6363, 2701, 8588, 8934, 7291, 1925, 7860, 4767, 584, 4061, 6653, 544, 9883, 3977, 2491, 9926, 7223, 4317, 7328, 6480, 8663, 7959, 2254, 9075, 9715, 7421, 6153, 3149, 2764, 8385, 6235, 85, 86, 2226, 7366, 8017, 7722, 7657, 8031, 7846, 6680, 8046, 5330, 2471, 6203, 8303, 3404, 5275, 187, 4553, 958, 8578, 128, 9633, 2095, 6307, 9386, 364, 1080, 1051, 3045, 7857, 7753, 5423, 205, 6569, 2726, 4951, 4508, 7772, 3777, 4460, 1374, 2703, 35, 6532, 5365, 4943, 293, 583, 9418, 1063, 9487, 2016, 1346, 1847, 7027, 7677, 5385, 8268, 3002, 3277, 8677, 2482, 7831, 5646, 70, 8801, 2090, 53, 3802, 2695, 5677, 5790, 3977, 6441, 2888, 9954, 6322, 2089, 7336, 8643, 5951, 1987, 6199, 2244, 2548, 476, 5747, 9575, 6626, 1193, 9039, 1239, 730, 2712, 6505, 6609, 3318, 9320, 9527, 3411, 7093, 9775, 894, 4015, 671, 4728, 9238, 2411, 9493, 8229, 4069, 4860, 5802, 4585, 6606, 2074, 749, 464, 3664, 3514, 7786, 9126, 2612, 2058, 5479, 4815, 8109, 4227, 5625, 3286, 5490, 402, 118, 9938, 4720, 4594, 2951, 599, 9943, 2253, 2555, 1272, 1435, 9577, 1129, 9579, 3964, 4665, 5866, 3347, 8421, 218, 4337, 6897, 3118, 7203, 1614, 1414, 4091, 7158, 1509, 752, 7951, 9097, 748, 8857, 6126, 5159, 4985, 3451, 6792, 622, 6443, 1399, 4138, 2909, 9694, 3917, 1791, 916, 350, 6728, 4705, 7854, 2038, 1291, 1826, 3619, 7404, 2705, 9561, 9011, 9630, 3751, 3853, 6721, 5922, 6056, 4128, 4913, 5989, 7180, 2436, 4683, 8431, 9035, 3153, 6516, 9544, 5437, 3363, 7672, 2508, 3544, 1159, 7230, 1890, 9003, 4706, 3654, 6808, 4159, 5787, 1684, 564, 5359, 4545, 9314, 7706, 556, 4490, 8880, 7392, 6054, 145, 4213, 2762, 1815, 6994, 3909, 906, 5652, 6239, 1230, 7919, 4013, 3869, 5194, 8747, 7030, 5765, 5320, 5149, 8007, 302, 3060, 8258, 1278, 1630, 9674, 4401, 8731, 8973, 8486, 6506, 9514, 1682, 861, 1408, 4127, 9480, 4414, 283, 9441, 7828, 9928, 7671, 8640, 4446, 1099, 4596, 168, 2172, 7048, 2345, 7230, 8786, 9521, 7000, 375, 4038, 915, 6360, 336, 8726, 8269, 7221, 5386, 9101, 7887, 9696, 6742, 2550, 7917, 731, 7413, 5027, 6310, 2352, 2608, 3364, 2032, 1472, 2864, 9673, 870, 4193, 6453, 6111, 7480, 5540, 6474, 8860, 64, 2092, 3919, 4081, 3090, 143, 2246, 2887, 9236, 2725, 8538, 4655, 5543, 2140, 4834, 9305, 8159, 4850, 8094, 7458, 7486, 571, 3442, 3137, 4977, 293, 9888, 8366, 2981, 6707, 3089, 647, 1042, 8254, 9093, 500, 2799, 6058, 3202, 6386, 1315, 3470, 341, 2366, 6155, 1208, 83, 9089, 4648, 7771, 8638, 7215, 7859, 6390, 2566, 5720, 4066, 4160, 599, 8470, 814, 1013, 6382, 3229, 105, 5500, 499, 2406, 6528, 3295, 1212, 8920, 6952, 6273, 368, 8183, 8245, 3276, 694, 4503, 3060, 6847, 564, 3800, 2582, 31, 2687, 2474, 5127, 2058, 6431, 4463, 9916, 7415, 6631, 5896, 9725, 9602, 2822, 7208, 1839, 8135, 9302, 8071, 1857, 3921, 7771, 768, 42, 2659, 2696, 938, 4552, 3325, 1950, 5514, 8658, 3842, 7449, 2199, 5542, 8906, 673, 9857, 3541, 7308, 6670, 5092, 2238, 4876, 9918, 8206, 4201, 1996, 753, 1082, 5723, 4127, 8841, 7500, 4464, 7083, 3959, 8670, 1658, 9883, 6816, 7326, 3240, 6099, 8401, 4923, 4783, 2064, 3915, 2624, 334, 1363, 1049, 9598, 1651, 5741, 3132, 555, 157, 8343, 8540, 1673, 138, 1688, 7359, 3289, 8890, 3208, 3300, 6521, 4322, 6372, 9780, 7958, 109, 84, 4716, 4749, 4955, 3708, 8034, 3706, 4415, 5070, 2645, 9926, 3464, 7162, 9916, 455, 3085, 9537, 2407, 895, 1863, 2329, 8190, 3245, 4735, 2092, 4695, 729, 4734, 250, 7475, 2051, 1000, 9904, 5969, 445, 7885, 8610, 9482, 7374, 7696, 9481, 9159, 3774, 6441, 1456, 3270, 7039, 3564, 4651, 1500, 5555, 9513, 4491, 1186, 4131, 8982, 8297, 3080, 7290, 1351, 9903, 9455, 2892, 3743, 8184, 9741, 2488, 626, 2322, 1274, 6093, 6349, 9248, 1976, 1488, 7609, 3157, 7182, 4612, 4784, 7916, 3058, 9816, 7381, 9943, 8672, 991, 7002, 6745, 1758, 3378, 8301, 1579, 3512, 7949, 8619, 6909, 9512, 3581, 7213, 2218, 610, 4907, 402, 3856, 4317, 1281, 9295, 1963, 1608, 9513, 4730, 3346, 6472, 6533, 2855, 456, 1537, 8050, 9975, 2586, 8291, 4436, 1374, 1388, 4741, 4795, 8139, 757, 9458, 555, 8526, 2335, 987, 3883, 3645, 3527, 9951, 8260, 6739, 2123, 5858, 96, 3002, 6660, 1241, 2408, 7263, 2849, 2760, 4432, 2170, 8188, 3746, 4801, 8487, 2977, 6084, 2580, 7508, 5812, 6175, 4358, 3104, 3455, 8811, 2853, 6030, 8077, 6311, 6648, 7191, 9025, 5865, 7967, 2684, 9838, 3144, 4384, 2243, 1254, 8651, 4778, 6574, 5939, 3529, 607, 9376, 5397, 727, 2899, 8740, 3898, 8114, 1259, 7833, 8720, 9299, 6129, 7724, 4233, 5728, 9250, 3463, 7492, 3143, 9324, 5415, 5634, 1449, 281, 8499, 9024, 7152, 712, 887, 2956, 913, 100, 581, 5146, 2585, 1088, 768, 9209, 3871, 7742, 6076, 5625, 5534, 8839, 3043, 6244, 1194, 871, 6928, 7015, 8838, 6227, 2850, 7175, 3163, 971, 6904, 9528, 7159, 3773, 8023, 9730, 21, 7197, 1957, 7712, 9141, 3041, 1857, 8366, 2559, 7976, 7103, 943, 645, 4741, 4581, 6441, 535, 1952, 123, 7911, 281, 1804, 9888, 469, 3418, 7788, 4095, 1480, 2729, 4540, 4247, 2328, 6695, 3917, 4327, 3114, 4728, 223, 7932, 1273, 8774, 1003, 5409, 7505, 1008, 1377, 7585, 5096, 2036, 1569, 5278, 5789, 4734, 4980, 9507, 2180, 3838, 8864, 1863, 6996, 1302, 2699, 6208, 1548, 3537, 9987, 6843, 225, 1738, 3301, 4415, 2952, 6464, 7428, 3425, 1152, 9417, 4463, 4983, 6995, 9559, 8583, 5839, 4947, 4154, 6094, 3404, 1085, 7144, 8068, 4269, 812, 357, 7953, 2452, 7117, 2300, 8841, 398, 6294, 7078, 3161, 9117, 414, 8771, 725, 1408, 3260, 8053, 6845, 7379, 2242, 3500, 3255, 9370, 2275, 4030, 3069, 1126, 9940, 6089, 8261, 7258, 7798, 1879, 1844, 1264, 9308, 4460, 5212, 7852, 6919, 771, 5517, 2185, 6971, 6563, 2199, 7809, 150, 7722, 7166, 4598, 150, 8215, 7772, 6516, 193, 33, 4327, 1560, 6602, 1110, 3374, 285, 993, 8553, 1604, 3118, 7546, 7135, 7967, 6118, 6083, 9625, 7002, 465, 4600, 488, 1066, 1096, 985, 3045, 9506, 5241, 5829, 3223, 4550, 4979, 4482, 7391, 6297, 3860, 3957, 8339, 1803, 7373, 7637, 2739, 336, 1774, 4213, 1093, 2, 6258, 9493, 6541, 7594, 5954, 8381, 8036, 9695, 4673, 7212, 8255, 5519, 8462, 6890, 718, 4185, 5870, 9012, 8891, 2750, 7663, 8044, 2203, 9224, 9578, 9532, 1857, 6612, 8905, 5054, 4201, 8907, 2235, 878, 6943, 5336, 2330, 6556, 5156, 5972, 987, 1632, 8881, 5740, 1952, 3553, 7753, 2324, 5320, 6090, 6912, 3074, 3833, 4091, 5271, 8330, 1062, 9869, 7516, 2265, 3796, 6607, 7264, 4704, 9812, 1467, 1721, 8980, 1700, 3605, 3144, 7213, 8226, 2965, 3757, 1131, 4865, 9013, 3564, 1331, 6500, 8141, 3080, 876, 1291, 6506, 9480, 8254, 4930, 9057, 4909, 3852, 4282, 6974, 643, 3950, 1737, 8505, 2407, 9781, 7062, 709, 9646, 4976, 1756, 9704, 8720, 3972, 4908, 1469, 208, 2157, 9781, 2430, 7420, 897, 3345, 3315, 966, 3117, 3388, 6129, 7732, 6189, 2081, 5715, 3572, 4991, 4155, 5087, 5928, 7572, 3754, 6502, 5840, 5543, 5201, 6692, 1750, 4079, 4802, 8766, 5535, 9986, 4000, 5143, 6537, 9955, 9285, 7214, 2793, 1754, 7693, 9837, 9161, 8768, 9725, 8793, 235, 9127, 1506, 394, 4607, 7071, 5225, 7534, 684, 3102, 2320, 3590, 1451, 9324, 9439, 3400, 3810, 707, 6453, 1486, 455, 8444, 5858, 9991, 6588, 6965, 23, 6677, 4872, 2433, 9170, 8231, 6148, 1226, 9679, 2400, 371, 3712, 3828, 7707, 6479, 7249, 9233, 282, 6014, 869, 7487, 3177, 7495, 3316, 6240, 1094, 7819, 5811, 8356, 2696, 1977, 2862, 1774, 3931, 5226, 57, 9704, 9727, 5056, 3988, 1506, 6325, 5584, 9545, 3122, 2552, 9837, 1269, 6772, 4025, 7183, 9898, 4629, 6729, 8502, 4811, 9531, 5889, 3066, 9372, 4930, 6538, 5762, 6902, 3186, 8607, 7358, 7141, 1055, 2602, 3518, 878, 3239, 9345, 7025, 2781, 4871, 6233, 8232, 2257, 8505, 5131, 5504, 4524, 154, 6927, 5541, 4329, 8543, 8909, 1757, 3658, 2477, 9019, 4515, 9224, 3415, 6146, 5820, 4376, 4957, 8629, 7329, 3528, 8023, 7958, 6295, 3125, 3699, 9754, 2166, 1511, 6684, 3269, 9821, 3164, 7793, 9887, 1103, 4891, 9567, 8036, 1036, 6168, 523, 9547, 7272, 5566, 379, 4611, 2491, 3923, 9516, 6721, 4765, 8596, 1087, 8857, 2126, 174, 2995, 6956, 4452, 7345, 376, 1016, 1069, 5161, 8597, 8229, 2546, 7152, 4436, 4358, 8105, 8489, 3198, 23, 2472, 2641, 8806, 8840, 5260, 4480, 9588, 8004, 992, 9099, 7581, 4129, 6747, 6242, 8188, 4073, 2615, 952, 3726, 6411, 6021, 1670, 3720, 3185, 4730, 5750, 355, 7008, 3264, 8226, 3842, 9451, 3263, 1813, 4993, 7601, 8953, 9676, 3490, 8089, 4785, 3495, 4047, 4056, 8908, 9288, 8560, 5790, 3929, 5241, 7939, 5571, 3835, 5636, 2881, 8799, 8582, 9700, 9667, 9230, 9980, 6485, 103, 8828, 6293, 2822, 6916, 1912, 9564, 2624, 6907, 1986, 5722, 6944, 3808, 4959, 2799, 4344, 7131, 5952, 3044, 9703, 9151, 8271, 9013, 618, 660, 8732, 7629, 1688, 2879, 2010, 373, 6616, 2580, 6799, 2222, 1553, 521, 1847, 1841, 3972, 2853, 8336, 8268, 3054, 4061, 1909, 7993, 3862, 8528, 6250, 8337, 2684, 4838, 3065, 9751, 3951, 5992, 7094, 7145, 2513, 9510, 1714, 3514, 3874, 2878, 5880, 4057, 8017, 9002, 5664, 4998, 6230, 4522, 6850, 5939, 2859, 9707, 5128, 6677, 3246, 9953, 2340, 690, 3070, 7936, 8016, 4467, 1175, 542, 1814, 124, 8160, 8576, 5665, 3536, 4466, 5523, 2014, 8808, 5044, 2409, 3617, 317, 3810, 7023, 4065, 7738, 4220, 9403, 9897, 3113, 530, 4994, 2615, 9936, 8167, 1207, 1691, 5779, 7335, 6890, 6073, 6714, 9628, 1341, 5996, 7656, 7909, 6778, 9755, 7670, 1120, 3689, 1062, 5969, 89, 4159, 7951, 7500, 3011, 7891, 3988, 1178, 6501, 2973, 9831, 6331, 1363, 6739, 3162, 9220, 9392, 1988, 6245, 8724, 6137, 6053, 8057, 6903, 8147, 7976, 8887, 2658, 2481, 4895, 4143, 8084, 728, 7569, 6279, 5120, 4387, 3622, 7599, 6923, 7383, 1148, 1915, 7444, 765, 5790, 4981, 7023, 9929, 1653, 9334, 4657, 738, 6534, 3569, 4016, 3645, 4839, 1072, 4026, 574, 161, 288, 5984, 8423, 884, 85, 4454, 7597, 6593, 5354, 3540, 3013, 8478, 2233, 690, 7552, 226, 7880, 8165, 1768, 7365, 7310, 454, 1882, 3241, 651, 3305, 2443, 7102, 3685, 5501, 6822, 9376, 8698, 6338, 5431, 5096, 2189, 3364, 8654, 844, 6826, 8567, 8297, 4780, 2510, 9798, 7619, 9741, 5682, 7737, 6095, 8692, 3397, 7577, 5461, 4555, 475, 178, 9250, 641, 7845, 4632, 218, 2981, 1973, 3115, 5770, 488, 5954, 1265, 3722, 7618, 5856, 8446, 389, 1937, 4167, 443, 4365, 671, 1616, 7986, 4571, 8389, 5681, 3451, 940, 678, 9307, 6764, 8483, 2073, 574, 2207, 7972, 14, 8673, 2962, 4740, 3805, 2457, 8264, 1213, 5688, 5852, 5829, 1390, 173, 7673, 7542, 5450, 4743, 8724, 3392, 5141, 6063, 5488, 6382, 8989, 9604, 4909, 3867, 1850, 9964, 4888, 9393, 2290, 1907, 1581, 9290, 9143, 6776, 3504, 7304, 4565, 2386, 1731, 8105, 1923, 8299, 2462, 3433, 5294, 4262, 1676, 2879, 8345, 3502, 4781, 7952, 2878, 1258, 3426, 9758, 7876, 3796, 805, 6394, 3377, 2469, 1644, 6260, 9014, 1718, 8611, 1941, 961, 1720, 1749, 6717, 603, 2271, 5003, 636, 1259, 568, 5879, 7819, 6652, 9776, 5850, 6271, 2288, 7191, 2108, 4216, 3085, 2454, 681, 3055, 6834, 3735, 5548, 454, 101, 4891, 7951, 7419, 5967, 6954, 9937, 8032, 9204, 2042, 8162, 1490, 8842, 6147, 9262, 6298, 7834, 1857, 6505, 666, 5220, 9158, 7154, 1238, 8973, 7661, 4714, 6434, 2731, 3929, 5977, 5319, 4681, 7704, 8124, 9263, 8730, 8056, 1088, 1892, 4837, 2941, 6235, 2273, 2450, 6450, 4047, 8600, 3259, 7335, 3224, 1841, 1511, 4409, 4936, 1291, 7765, 3857, 8675, 1198, 3808, 2203, 1811, 3763, 4427, 8456, 909, 8422, 4944, 3467, 6264, 5358, 8952, 2616, 569, 5652, 7369, 512, 7323, 1600, 3515, 6619, 221, 9044, 7109, 2368, 2587, 7940, 1885, 2466, 3455, 8153, 1445, 1377, 9085, 5315, 1968, 4126, 2891, 9932, 1171, 9474, 4544, 4532, 3211, 4682, 821, 6988, 241, 9908, 1215, 3921, 4960, 1680, 4310, 499, 2689, 210, 8571, 7357, 8143, 1201, 9270, 8097, 9460, 6495, 7271, 5765, 9241, 1203, 6088, 9005, 9854, 8193, 6889, 6562, 2721, 1020, 1341, 4972, 3871, 6928, 9606, 6199, 4877, 9074, 271, 45, 407, 1160, 2449, 4818, 387, 8248, 9654, 2708, 5495, 7729, 4585, 8103, 1992, 4912, 1611, 7774, 6155, 695, 2742, 84, 9032, 5269, 9828, 8251, 6848, 1199, 3912, 9883, 8685, 539, 8790, 419, 3073, 7367, 3490, 1805, 6596, 4733, 8589, 4426, 2410, 6249, 5043, 1239, 4984, 3657, 4133, 3547, 5146, 5721, 2064, 7931, 4025, 4819, 162, 8790, 2143, 5008, 4974, 8714, 5939, 4848, 2377, 17, 144, 548, 4069, 1632, 3022, 6699, 6041, 6369, 5907, 4757, 3278, 7925, 5450, 633, 6817, 2401, 9766, 2457, 2389, 7428, 2519, 3459, 6076, 8712, 5220, 2865, 8041, 4468, 6310, 6031, 9397, 3074, 8276, 8830, 742, 232, 1429, 4840, 8421, 6252, 964, 9343, 8653, 4897, 2282, 62, 4534, 8363, 4871, 1551, 1759, 1462, 2928, 9475, 6806, 6898, 9664, 5297, 159, 1541, 1156, 8855, 6522, 6207, 1137, 7535, 6227, 6823, 2449, 4663, 5526, 8692, 9680, 2347, 6419, 1644, 2750, 7218, 6098, 6106, 5826, 3060, 3205, 3245, 2260, 1582, 4019, 3052, 605, 3819, 7142, 933, 6603, 5259, 7740, 2136, 474, 4851, 6608, 1685, 2420, 2192, 3903, 481, 6308, 4146, 7548, 620, 6112, 2208, 4644, 2664, 584, 5231, 4255, 1793, 1887, 5821, 8077, 1054, 4589, 8480, 3563, 4563, 7986, 4820, 2876, 7275, 2673, 1990, 118, 9239, 4740, 3280, 9027, 7269, 563, 8332, 1963, 307, 1911, 5045, 5992, 4099, 4994, 1621, 7674, 3662, 2674, 4892, 7602, 378, 6595, 1336, 7655, 7148, 9019, 9187, 5038, 2358, 259, 7952, 8526, 2464, 5973, 812, 1323, 4235, 3609, 1325, 9076, 8678, 4258, 8084, 7183, 574, 7599, 461, 871, 6764, 2284, 3271, 5297, 3257, 2779, 6181, 2198, 8816, 9447, 9647, 6075, 8429, 546, 2595, 1683, 2338, 9238, 8446, 9158, 5628, 3727, 8784, 41, 5790, 6284, 6231, 5247, 991, 7772, 2528, 4105, 737, 7267, 7210, 4894, 7331, 6821, 4603, 9941, 7681, 9612, 8207, 3972, 6895, 4231, 8417, 8212, 1708, 2586, 1373, 4584, 1212, 5993, 73, 4207, 788, 4416, 6834, 7815, 3960, 2266, 2552, 673, 8763, 7046, 1924, 5377, 8695, 9471, 7689, 6318, 1223, 3302, 8767, 8573, 5655, 6716, 6997, 5205, 2887, 1805, 560, 8097, 4157, 6135, 7873, 1610, 150, 6824, 6863, 3596, 7674, 9773, 7826, 6047, 7078, 2505, 9414, 8072, 7687, 8610, 9695, 9811, 1359, 5547, 9700, 1413, 2391, 7804, 378, 5681, 5466, 2685, 6740, 7648, 1272, 8767, 9974, 1194, 1294, 5907, 2974, 973, 4606, 215, 8563, 730, 286, 434, 2430, 3055, 6787, 1730, 1840, 6081, 5545, 5165, 521, 8602, 1299, 6493, 5315, 4550, 3117, 504, 1432, 9589, 7538, 2259, 3489, 2581, 9741, 2580, 6979, 3975, 9454, 8422, 2759, 9681, 1569, 9898, 2634, 3510, 3760, 7671, 330, 1568, 732, 2975, 8041, 2829, 3198, 3680, 5540, 1044, 194, 1218, 2824, 2504, 532, 8449, 5742, 3094, 7814, 3303, 2917, 6653, 9607, 5522, 4266, 5785, 3981, 1553, 2150, 4293, 8443, 7967, 8034, 7689, 8332, 2450, 9977, 2972, 258, 7658, 8560, 4803, 6164, 5307, 122, 2645, 5563, 2442, 9079, 310, 5441, 5108, 9267, 6667, 2810, 3563, 4582, 5623, 7814, 4471, 2437, 8786, 6001, 9563, 6533, 5983, 3530, 1008, 1123, 8991, 5059, 6509, 9390, 5904, 7842, 6253, 2254, 3377, 7442, 8995, 4783, 2676, 8424, 1757, 2194, 2124, 7513, 2147, 272, 2227, 4792, 7681, 2355, 6115, 9028, 4390, 9660, 889, 5198, 5567, 1463, 7321, 4713, 5028, 551, 592, 950, 2628, 6079, 6326, 7581, 5558, 7552, 4461, 2378, 1104, 5837, 5297, 4589, 5646, 127, 4321, 8862, 4033, 3575, 6122, 5717, 7866, 3635, 7027, 5393, 4217, 7345, 1267, 4575, 58, 504, 4000, 434, 5440, 2234, 7235, 87, 7350, 796, 7008, 5832, 8550, 3052, 8060, 3400, 1503, 1134, 5047, 339, 8459, 7250, 5489, 6062, 5806, 3997, 4194, 7196, 7736, 6710, 1011, 6614, 8109, 1502, 7857, 3466, 5431, 6032, 3287, 6710, 8576, 4968, 5375, 6140, 4746, 4667, 2839, 8996, 6978, 4323, 6982, 3176, 2806, 9046, 4320, 761, 691, 7536, 8418, 9214, 9623, 6248, 6568, 4478, 1097, 4181, 3421, 4744, 9566, 9704, 6556, 9915, 8251, 9324, 3051, 1743, 5977, 8726, 3330, 1316, 5466, 1606, 8606, 4430, 207, 352, 7616, 8418, 3094, 910, 4224, 4899, 4129, 3071, 7360, 1296, 8413, 4385, 8939, 6691, 8736, 1516, 3291, 3951, 6578, 1911, 874, 603, 5466, 2025, 6653, 655, 2691, 9248, 2709, 2066, 6088, 7549, 5490, 102, 4121, 6734, 7375, 1121, 3230, 9858, 6605, 5238, 795, 8222, 365, 3433, 9845, 6787, 34, 7569, 6039, 5464, 2562, 9378, 2330, 7273, 8627, 3395, 3180, 9308, 9762, 5997, 9876, 6738, 9564, 7608, 6563, 895, 5965, 5563, 5524, 2713, 6357, 6713, 2264, 8002, 3129, 2069, 5341, 9247, 4292, 2976, 5787, 7777, 4030, 1511, 5903, 9137, 9296, 1091, 8447, 73, 8777, 8795, 6466, 7376, 6308, 5114, 4761, 3678, 2773, 4242, 3110, 4463, 1058, 9760, 5997, 4976, 9530, 8596, 5343, 6556, 1390, 5879, 872, 3944, 3247, 482, 7209, 456, 9389, 6614, 5756, 2461, 1936, 2958, 9910, 5762, 3453, 6240, 5515, 5754, 4696, 7555, 458, 3077, 3786, 3717, 9183, 1502, 2626, 441, 2871, 9614, 7465, 9266, 1892, 4351, 1348, 8681, 7791, 8757, 7028, 5340, 5140, 593, 4681, 6755, 5587, 7764, 8999, 9842, 1388, 8640, 4097, 8316, 7559, 6946, 2457, 5171, 6642, 2610, 6237, 8366, 7225, 4126, 1195, 4724, 4252, 1134, 5239, 9673, 288, 859, 1393, 2942, 7362, 6067, 6665, 9768, 8131, 5668, 7679, 9686, 6297, 7607, 4519, 2900, 5021, 3951, 9948, 2242, 7577, 3862, 6187, 4850, 3, 220, 6358, 8349, 7727, 4369, 2157, 4483, 6656, 1846, 7480, 8232, 3614, 6907, 2026, 2282, 1272, 7635, 7453, 7079, 3925, 59, 7276, 7598, 121, 8761, 8842, 4546, 4715, 9924, 9075, 7691, 8584, 5385, 4998, 2876, 5179, 5883, 5372, 3199, 2466, 4924, 5280, 3434, 774, 9358, 9108, 8921, 9381, 5781, 7395, 2886, 5383, 7971, 8320, 280, 3116, 8647, 6383, 2521, 5989, 4523, 72, 523, 526, 7991, 9344, 8317, 2557, 4100, 6667, 8700, 5411, 8217, 256, 109, 8263, 3741, 8329, 5620, 4595, 3098, 4416, 7136, 3439, 7998, 7702, 5007, 8353, 8879, 7602, 5807, 765, 1394, 4951, 9112, 2373, 2927, 167, 497, 2373, 1217, 8616, 6316, 2896, 2737, 3381, 407, 2673, 3235, 2050, 7757, 1131, 8303, 7728, 9803, 6732, 4604, 1467, 5395, 842, 2830, 2584, 7610, 8406, 4643, 3768, 3383, 3184, 1842, 4416, 9017, 9247, 2533, 1708, 5658, 4201, 6384, 487, 3712, 1187, 6724, 3425, 5925, 4283, 1539, 2381, 501, 6526, 4246, 3330, 1450, 7964, 1055, 7686, 6580, 7029, 6332, 7245, 5473, 8908, 9043, 7910, 5820, 8450, 6811, 9768, 7943, 578, 577, 299, 363, 5712, 6333, 4607, 3939, 4198, 7044, 5912, 7607, 496, 1600, 6061, 2422, 4059, 9751, 8445, 2604, 7474, 8871, 503, 28, 1441, 2537, 4145, 1632, 1031, 7134, 4821, 410, 6367, 2670, 4389, 670, 9247, 281, 5106, 7509, 747, 6585, 605, 6384, 1295, 5617, 4938, 8923, 5377, 1587, 6169, 3589, 5423, 1543, 103, 5089, 3909, 7958, 5030, 8187, 7126, 146, 143, 2794, 3517, 2477, 9949, 564, 8572, 2621, 5239, 7604, 7080, 1620, 9608, 3325, 813, 4778, 3353, 1931, 663, 2963, 3061, 8985, 6218, 3265, 4964, 2213, 2209, 8629, 681, 8370, 468, 406, 4502, 1860, 9355, 1964, 132, 3612, 4563, 8073, 7088, 4573, 6793, 5988, 7752, 2097, 8471, 4034, 7138, 4307, 1748, 5858, 1403, 4490, 1719, 6418, 3288, 1941, 592, 3670, 2339, 3912, 4496, 1473, 1790, 1817, 3654, 8497, 600, 9038, 2874, 8533, 6361, 3053, 4122, 1762, 1381, 7877, 3651, 5041, 1411, 5195, 8241, 9590, 4862, 6880, 4482, 3675, 9555, 2363, 277, 1986, 2318, 9985, 5198, 8001, 9637, 9632, 8569, 895, 8150, 576, 7036, 3803, 8124, 1793, 2751, 41, 6705, 7323, 4136, 2960, 4344, 2030, 4188, 306, 764, 7718, 2597, 5671, 9348, 7714, 9355, 1767, 9561, 5901, 3471, 290, 4900, 6437, 3555, 1903, 5696, 418, 6173, 9844, 843, 3148, 6135, 2303, 3900, 728, 2701, 3579, 8406, 7223, 6945, 3729, 7970, 514, 8513, 5484, 3937, 2985, 6176, 3618, 9073, 8321, 5349, 4969},
			},
			want: 109134,
		},
	}
	for _, tt := range tests {
		t.Run(tt.name, func(t *testing.T) {
			if got := largestRectangleArea2(tt.args.heights); got != tt.want {
				t.Errorf("largestRectangleArea2() = %v, want %v", got, tt.want)
			}
		})
	}
}

// goos: darwin
// goarch: amd64
// pkg: github.com/lovung/challenges/leetcode/grind75
// cpu: Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz
// Benchmark_largestRectangleArea-12
//
//	217573	      5979 ns/op	       0 B/op	       0 allocs/op
func Benchmark_largestRectangleArea(b *testing.B) {
	for i := 0; i < b.N; i++ {
		largestRectangleArea([]int{2, 1, 5, 6, 2, 3})
		largestRectangleArea([]int{
			1, 1, 1, 2, 1, 5, 6, 2, 3,
			2, 1, 5, 6, 2, 3, 8, 4, 2,
			6, 7, 8, 3, 2, 0, 4, 6, 3,
			1, 1, 1, 1, 1, 1, 9, 1, 8,
		})
	}
}

// goos: darwin
// goarch: amd64
// pkg: github.com/lovung/challenges/leetcode/grind75
// cpu: Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz
// Benchmark_largestRectangleArea1-12
//
//	96876	     11828 ns/op	     768 B/op	       4 allocs/op
func Benchmark_largestRectangleArea1(b *testing.B) {
	for i := 0; i < b.N; i++ {
		largestRectangleArea1([]int{2, 1, 5, 6, 2, 3})
		largestRectangleArea1([]int{
			1, 1, 1, 2, 1, 5, 6, 2, 3,
			2, 1, 5, 6, 2, 3, 8, 4, 2,
			6, 7, 8, 3, 2, 0, 4, 6, 3,
			1, 1, 1, 1, 1, 1, 9, 1, 8,
		})
	}
}

// goos: darwin
// goarch: amd64
// pkg: github.com/lovung/challenges/leetcode/grind75
// cpu: Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz
// Benchmark_largestRectangleArea2-12
//
//	617722	      1867 ns/op	    1472 B/op	       4 allocs/op
func Benchmark_largestRectangleArea2(b *testing.B) {
	for i := 0; i < b.N; i++ {
		largestRectangleArea2([]int{2, 1, 5, 6, 2, 3})
		largestRectangleArea2([]int{
			1, 1, 1, 2, 1, 5, 6, 2, 3,
			2, 1, 5, 6, 2, 3, 8, 4, 2,
			6, 7, 8, 3, 2, 0, 4, 6, 3,
			1, 1, 1, 1, 1, 1, 9, 1, 8,
		})
	}
}