from typing import List # test_array = [1, 8, 6, 2, 5, 4, 8, 3, 7] test_array = [ 3719, 9757, 3686, 4127, 7071, 909, 817, 8042, 6497, 4882, 2865, 258, 8371, 8741, 119, 5701, 51, 682, 7030, 1531, 3257, 2829, 9396, 7479, 2174, 5166, 5589, 1844, 4655, 3410, 1252, 8374, 9519, 1290, 8854, 6591, 2199, 6023, 985, 5049, 7257, 202, 1659, 5629, 8943, 1778, 7682, 8995, 8813, 1064, 6878, 2070, 246, 6274, 9550, 8772, 7792, 1491, 616, 8799, 1253, 8220, 7174, 772, 9510, 2380, 3715, 8062, 8403, 4700, 3111, 5661, 4902, 1122, 7642, 198, 2900, 1676, 5545, 8065, 2740, 2423, 136, 9338, 5049, 6038, 8111, 9193, 3881, 8727, 7992, 5134, 6948, 5166, 2258, 6458, 3898, 5974, 872, 2302, 7026, 335, 4315, 8281, 1457, 1957, 8479, 710, 3633, 4024, 8775, 2725, 2799, 8911, 2064, 7848, 1301, 175, 7041, 5182, 5254, 5033, 316, 2202, 6552, 2575, 5013, 450, 4901, 5885, 9104, 1927, 2573, 3419, 6560, 4030, 5376, 5039, 4740, 5361, 5415, 3516, 8087, 8214, 8779, 151, 2414, 81, 6678, 5807, 1615, 1932, 7193, 1932, 487, 3745, 859, 1852, 547, 2112, 4089, 9652, 391, 6662, 9423, 6952, 693, 4800, 8343, 5433, 6513, 3759, 5301, 952, 8325, 4081, 7455, 740, 514, 4133, 6547, 2129, 6066, 3740, 413, 2905, 3837, 7624, 4757, 737, 9736, 5198, 389, 6480, 1861, 6164, 3432, 8906, 7316, 1775, 691, 3830, 1886, 5993, 4782, 212, 74, 2238, 952, 6940, 2723, 3851, 9069, 5141, 7592, 9483, 8046, 7781, 7107, 9155, 8518, 3196, 4354, 5259, 9676, 2567, 1424, 9460, 7825, 8740, 7587, 8516, 8922, 9474, 861, 3705, 9686, 935, 2295, 6990, 7875, 5018, 841, 3297, 160, 4785, 2780, 4558, 2567, 6239, 3714, 1085, 5787, 4420, 2697, 1815, 3339, 4121, 1275, 1164, 9213, 5215, 6032, 8136, 4689, 6894, 8193, 727, 4181, 6840, 7717, 8409, 8210, 4910, 1706, 8370, 9696, 838, 2929, 2263, 7077, 2995, 9700, 9217, 3767, 8749, 1032, 7106, 9222, 8660, 4622, 8436, 3875, 654, 2924, 8564, 7548, 7469, 5643, 1730, 661, 3360, 139, 8871, 4622, 8197, 7242, 4318, 9035, 6523, 2933, 2464, 5870, 8986, 1681, 9637, 7735, 9066, 6743, 6958, 7726, 1365, 1746, 1601, 2019, 1022, 6517, 5920, 4843, 2160, 7650, 5504, 1872, 4141, 4375, 6494, 2338, 7969, 813, 1373, 844, 3746, 3837, 6714, 9084, 1871, 6351, 6820, 937, 9446, 130, 8663, 811, 8228, 6616, 9183, 5602, 3133, 5103, 445, 5293, 9105, 5949, 3517, 9598, 6676, 11, 1936, 998, 7176, 9661, 1842, 923, 9850, 4909, 6359, 1721, 1260, 3179, 2658, 7059, 9661, 7673, 4222, 7889, 4289, 3405, 3491, 3774, 4860, 3936, 9067, 317, 6237, 2584, 9915, 9266, 8948, 8203, 264, 6124, 7864, 8458, 3399, 7715, 3367, 9759, 9436, 980, 9290, 8447, 8039, 8952, 2472, 8613, 6841, 3114, 8371, 6685, 6888, 3231, 6973, 2308, 9901, 9563, 1244, 6168, 8829, 192, 4372, 5445, 6317, 2236, 255, 9716, 9951, 9975, 5827, 5740, 955, 5118, 4187, 5346, 4070, 3011, 3959, 7263, 6125, 8682, 3948, 3014, 8266, 7274, 5322, 8167, 6837, 6566, 4335, 2018, 6759, 5059, 3815, 9428, 7296, 4070, 5496, 3599, 4045, 1324, 9339, 1352, 2794, 9878, 3050, 3216, 2890, 3362, 479, 9015, 2044, 780, 8381, 310, 8054, 3703, 8477, 4891, 6622, 9165, 6909, 9733, 4224, 724, 5513, 7872, 1146, 1009, 1472, 1544, 8685, 811, 2896, 7831, 690, 5947, 1047, 9932, 5661, 1527, 5299, 7705, 2307, 3681, 8016, 6713, 3736, 2845, 1604, 358, 8362, 4865, 6443, 2587, 1941, 1956, 6811, 9439, 9318, 8283, 983, 8003, 5447, 3880, 5835, 2489, 6179, 3234, 2421, 1840, 4761, 7720, 5897, 3420, 7753, 3913, 133, 1490, 3111, 8089, 8200, 1473, 9306, 996, 412, 7599, 2952, 7224, 7039, 2270, 1859, 8022, 6626, 7306, 8254, 8813, 9795, 4433, 2047, 8568, 2625, 3161, 2641, 8523, 2933, 394, 8788, 3067, 8236, 1899, 7508, 2789, 3373, 3167, 3785, 137, 766, 6737, 3713, 7805, 5360, 5573, 2180, 8338, 2879, 434, 3503, 9027, 1220, 1902, 3947, 3845, 5063, 6588, 2368, 7997, 6983, 7509, 7416, 1571, 9408, 1276, 4360, 9133, 4443, 8145, 9271, 1562, 1235, 2984, 5719, 6595, 4909, 7899, 1285, 4141, 4686, 4788, 3168, 5906, 6690, 3467, 9751, 8106, 56, 8472, 2455, 3391, 5981, 9871, 4962, 5389, 7499, 9323, 875, 8295, 3820, 146, 9857, 5055, 9482, 1928, 8002, 4392, 6180, 9287, 4885, 866, 427, 4405, 6772, 3470, 7872, 2875, 1576, 7928, 1347, 4031, 1319, 7328, 254, 2634, 9070, 7753, 8309, 6297, 6048, 2129, 6443, 2257, 7185, 2277, 4186, 5187, 3021, 366, 827, 7906, 1232, 1254, 2311, 4356, 1076, 184, 7231, 2652, 4464, 8579, 3035, 2136, 2259, 3289, 4770, 7681, 7395, 3079, 3978, 3443, 5208, 6773, 5701, 8745, 5403, 6239, 285, 8424, 2957, 7464, 2683, 4189, 8718, 4994, 4897, 6147, 1530, 2128, 8799, 5995, 7059, 8187, 4483, 5671, 1476, 9253, 3352, 8871, 8684, 3683, 8667, 244, 6808, 720, 8990, 2211, 3311, 5627, 6988, 6268, 3091, 9671, 6809, 8161, 1017, 1706, 4308, 2548, 3834, 3108, 4895, 7246, 1295, 9378, 2917, 9123, 4983, 2621, 4347, 3667, 2656, 3014, 3911, 9465, 86, 9253, 8028, 3397, 4880, 5016, 9665, 7971, 4687, 6474, 2485, 5705, 4532, 6793, 4605, 4718, 6253, 5852, 1964, 3900, 1582, 1233, 9376, 2917, 207, 3723, 6584, 2863, 3089, 6847, 8680, 9527, 6101, 6709, 2924, 7333, 1725, 8941, 1657, 2765, 1767, 4142, 4822, 6299, 935, 5779, 1017, 3541, 1631, 2982, 7441, 9565, 567, 6817, 2482, 774, 6892, 5418, 3638, 9981, 8617, 2318, 9508, 4718, 5379, 8784, 8404, 7105, 7725, 61, 6222, 9492, 555, 1044, 5791, 7842, 6823, 3161, 1383, 8454, 6143, 8825, 4371, 3062, 1994, 3205, 3837, 8887, 8623, 3827, 5220, 7240, 2497, 4729, 8311, 7877, 9865, 3067, 1334, 7591, 3128, 7556, 3435, 35, 8600, 9227, 7877, 5423, 2388, 9261, 229, 4883, 4438, 952, 4297, 6432, 4157, 8134, 1671, 9132, 1961, 6892, 2724, 811, 7973, 1035, 8688, 7838, 454, 22, 1781, 3582, 3930, 5217, 3617, 2530, 4444, 7847, 4305, 3184, 7108, 886, 4419, 1546, 1838, 8716, 4330, 2347, 3203, 6002, 1479, 5164, 2894, 4203, 5975, 7219, 1591, 1015, 5057, 2045, 7389, 6839, 1980, 1319, 2056, 1949, 201, 2852, 9796, 858, 2388, 6904, 1744, 6807, 4802, 9934, 1875, 9133, 2281, 5078, 1487, 112, 6595, 733, 668, 8922, 7952, 8611, 9938, 9361, 656, 3679, 2552, 8988, 1351, 960, 938, 1552, 3812, 7086, 8763, 2552, 343, 507, 5711, 1497, 6794, 7587, 630, 5427, 9017, 2117, 1892, 5612, 2850, 2560, 4535, 7154, 1171, 825, 6516, 8179, 856, 9068, 7168, 2207, 29, 4458, 3760, 193, 1544, 2523, 2746, 8239, 9382, 4809, 9737, 2528, 8748, 6719, 7956, 7766, 8837, 9848, 9730, 8039, 8760, 617, 1546, 9931, 1442, 8062, 8110, 8651, 3482, 1630, 858, 3511, 6088, 970, 57, 3985, 9845, 9155, 2224, 9228, 3964, 8313, 8108, 2713, 5033, 6064, 6831, 222, 2264, 6561, 4613, 1024, 7179, 6159, 7307, 4973, 4221, 5418, 3624, 7704, 3400, 4483, 7567, 9489, 1805, 7624, 9826, 1651, 6779, 8402, 7231, 7096, 6716, 5339, 9809, 1749, 1404, 6640, 8323, 20, 9553, 2936, 1045, 6732, 5448, 4704, 8058, 6021, 6474, 8034, 77, 9875, 8869, 7645, 9364, 675, 1621, 5542, 2326, 8401, 3944, 9557, 1849, 660, 4896, 1658, 8761, 2652, 4650, 3436, 2673, 555, 6373, 70, 3640, 8173, 4774, 1698, 4194, 1249, 9732, 4272, 1124, 4954, 8269, 6840, 5629, 9890, 8734, 4307, 4643, 2678, 3864, 6492, 9691, 5112, 4502, 8452, 4117, 9152, 1889, 6790, 9708, 4614, 3212, 3348, 2787, 4338, 1398, 3333, 5587, 7482, 7605, 3063, 2436, 5874, 6255, 4417, 2117, 4989, 8724, 6760, 4020, 8940, 9605, 3711, 4053, 4107, 2163, 8170, 9612, 404, 1312, 5672, 1370, 4524, 9020, 509, 5214, 6770, 3843, 802, 4252, 7800, 217, 3041, 3675, 2825, 7458, 2144, 4166, 6183, 5256, 8186, 5123, 4861, 1897, 5528, 8969, 413, 3698, 4933, 7169, 1362, 605, 8540, 2238, 9625, 5401, 7453, 2747, 9244, 4607, 6999, 7045, 4824, 40, 7072, 4001, 3851, 5568, 4520, 34, 824, 9058, 1509, 5686, 7308, 7038, 1007, 7721, 7088, 5940, 1242, 8451, 6545, 6134, 689, 2522, 1536, 8142, 5269, 7132, 2749, 8620, 529, 3926, 5013, 7601, 4279, 8864, 3169, 8799, 5250, 346, 7858, 6759, 6032, 5166, 3797, 7039, 9239, 886, 9331, 481, 9337, 5876, 2968, 6378, 8398, 4504, 4521, 19, 1636, 3622, 8639, 8518, 7548, 3652, 6119, 1828, 8868, 5641, 6979, 4118, 5987, 4837, 878, 8371, 3, 4675, 1762, 5594, 1913, 1093, 6076, 7602, 6969, 9044, 3981, 1719, 9900, 4854, 1738, 7888, 8476, 377, 6406, 2377, 382, 8878, 557, 9250, 871, 7536, 3369, 3210, 2374, 599, 1581, 8729, 5274, 3343, 4324, 3540, 4436, 6752, 1142, 7757, 2148, 1475, 9476, 8400, 2681, 1214, 6288, 1158, 7943, 9047, 9887, 4677, 7925, 444, 3928, 8796, 7980, 3649, 2006, 6706, 4248, 9939, 1788, 5874, 3282, 2464, 5766, 4070, 9216, 6909, 8179, 7716, 4736, 4007, 6116, 7418, 1573, 8756, 4928, 9516, 7803, 4815, 4194, 5728, 5259, 4474, 876, 9591, 4475, 9234, 6298, 5075, 9173, 8086, 949, 8807, 550, 6716, 9229, 6118, 9977, 7408, 186, 1065, 7767, 2654, 8483, 9340, 1410, 3411, 5209, 5566, 4578, 9403, 7646, 9837, 229, 8523, 9429, 1056, 7757, 2079, 6131, 3283, 6517, 3432, 2090, 3419, 148, 7672, 5889, 6477, 1432, 6075, 7543, 9200, 8729, 2378, 8540, 6491, 2142, 3749, 2057, 6720, 9504, 9704, 6558, 9733, 4579, 2339, 7141, 2336, 770, 3272, 1971, 3639, 6705, 4062, 7058, 3205, 8086, 2947, 9683, 9518, 9022, 3578, 8718, 4103, 2308, 7259, 594, 4450, 1008, 9004, 7523, 513, 8708, 433, 6598, 3287, 9124, 3740, 1975, 9894, 3364, 3947, 3533, 69, 4361, 6943, 3275, 2447, 9890, 9310, 1965, 5264, 9240, 684, 5719, 7900, 7943, 6313, 2351, 5303, 5317, 9874, 2168, 377, 307, 5119, 3664, 9431, 5211, 1992, 5677, 8575, 5939, 5562, 8645, 6652, 2505, 8272, 9099, 8747, 7582, 7416, 4011, 3174, 8100, 9730, 1074, 2395, 2395, 9777, 4051, 4065, 6003, 6219, 4442, 2662, 1338, 4459, 2093, 2901, 6451, 4122, 1477, 8742, 9684, 6474, 5394, 8541, 4746, 845, 7288, 8680, 8261, 7651, 1854, 2714, 3733, 9280, 5109, 6129, 9058, 5512, 6546, 5061, 1732, 988, 7724, 9422, 1799, 6169, 2324, 4602, 6644, 153, 3344, 2680, 6627, 5090, 1222, 7725, 5935, 4862, 2757, 4197, 2514, 4611, 3263, 6247, 243, 8372, 8728, 9301, 3885, 5274, 715, 1969, 2615, 4791, 7743, 766, 7312, 6419, 5369, 3956, 6572, 5065, 6637, 9551, 156, 7859, 7276, 6091, 9073, 33, 6640, 1587, 996, 9903, 4187, 7592, 4628, 9267, 3245, 4865, 894, 3960, 3186, 9861, 5103, 929, 627, 2416, 7349, 2348, 6372, 273, 7414, 3009, 9825, 3922, 7220, 3453, 6365, 6294, 9839, 3006, 4233, 7187, 9261, 4772, 4779, 241, 4040, 8025, 1458, 1286, 8337, 4644, 1147, 3441, 5574, 8126, 5857, 9275, 475, 8581, 9548, 4241, 7943, 5725, 8163, 5163, 5531, 4528, 7809, 5370, 3886, 8395, 8909, 9500, 3167, 41, 9741, 3559, 4418, 1200, 1197, 2755, 2196, 2344, 2548, 4122, 6823, 4757, 3397, 7298, 3339, 9298, 1539, 7634, 1375, 6054, 2797, 6906, 582, 6959, 8628, 4469, 1706, 7538, 3969, 1225, 7579, 62, 1137, 8349, 7614, 2334, 7456, 9811, 4679, 5, 3933, 1502, 1114, 3683, 5152, 805, 9333, 3043, 8439, 708, 9097, 7589, 7615, 9679, 4548, 6243, 4148, 2606, 133, 4469, 3831, 4064, 4532, 4968, 2413, 2146, 7303, 9870, 8309, 8334, 6227, 8595, 6188, 7341, 2278, 1340, 8147, 7963, 4383, 2938, 8671, 9832, 527, 6286, 9511, 1427, 8882, 12, 4033, 5367, 833, 7865, 9432, 5365, 2833, 8197, 3864, 136, 8067, 8525, 4822, 646, 7120, 1010, 7988, 5750, 2350, 2487, 3713, 3085, 5425, 2385, 2917, 2305, 5023, 8781, 3732, 257, 5145, 7766, 5625, 5978, 1983, 5057, 7696, 4816, 9606, 7912, 1305, 7674, 6437, 6127, 8320, 3558, 3490, 2660, 9308, 2192, 1499, 9374, 5278, 6925, 1759, 4547, 5582, 3134, 9680, 9314, 9744, 1177, 3432, 5369, 7156, 5415, 6778, 4852, 6584, 6384, 9116, 7889, 410, 5553, 368, 5083, 9111, 3858, 7743, 4772, 2403, 9243, 4146, 4033, 2520, 2257, 8580, 8102, 1743, 4613, 3768, 1487, 5790, 3553, 6856, 9298, 8968, 9986, 502, 5552, 2723, 9618, 9793, 3133, 5172, 6514, 8216, 4283, 6724, 2312, 5407, 9127, 7907, 9553, 3160, 427, 1810, 8093, 4881, 3554, 2706, 5001, 1393, 4848, 8554, 4602, 4147, 3875, 4588, 4649, 9427, 3663, 620, 5573, 6797, 5792, 2087, 1365, 6427, 8811, 29, 1835, 4291, 7936, 1388, 7451, 4715, 9551, 5544, 5948, 9457, 4602, 950, 850, 5803, 5856, 5452, 9950, 9731, 6393, 951, 5511, 56, 1571, 1084, 3205, 3715, 9523, 923, 143, 4686, 952, 1978, 8977, 8889, 9718, 2781, 9956, 5621, 4677, 5905, 5078, 9280, 3207, 2281, 1435, 5415, 4085, 7737, 5147, 6830, 8688, 7010, 3239, 6612, 8094, 6444, 327, 3969, 3719, 470, 8655, 4672, 8800, 7633, 9913, 4871, 414, 9869, 492, 1443, 2126, 1923, 7075, 5333, 556, 8510, 749, 993, 6247, 2248, 7824, 4936, 9258, 1063, 7900, 3704, 3859, 8227, 7673, 7579, 5050, 6328, 8603, 202, 313, 8516, 5073, 7079, 4737, 5566, 8523, 6864, 3841, 5598, 8549, 4397, 4109, 9298, 5390, 356, 7898, 9566, 1644, 7156, 6981, 5896, 7212, 841, 4124, 4885, 4772, 5526, 1214, 3375, 5728, 7879, 1891, 802, 4959, 6628, 2720, 3482, 3492, 2913, 5432, 2042, 7310, 5893, 7692, 9052, 6250, 1943, 4971, 4246, 5451, 1952, 143, 2664, 2793, 619, 7549, 3917, 2497, 5115, 7292, 8225, 2995, 5535, 5379, 4306, 2164, 4451, 4140, 2008, 7364, 9572, 402, 1026, 5466, 4447, 6431, 8068, 6390, 1402, 8666, 1841, 3354, 5161, 857, 2500, 2132, 4759, 6417, 4629, 9874, 62, 9207, 9221, 5597, 938, 9879, 7761, 5390, 4019, 6122, 2754, 9944, 2876, 133, 1762, 7323, 6564, 6182, 65, 7966, 4848, 8259, 7672, 6362, 9116, 6524, 8494, 3875, 9294, 9476, 102, 9356, 8683, 5675, 4953, 9621, 1907, 9067, 5011, 5926, 5189, 4118, 2222, 4417, 603, 336, 1741, 7167, 6518, 1806, 1485, 7719, 6417, 5509, 4081, 5534, 2034, 2575, 5761, 1328, 2051, 2215, 684, 7086, 4243, 5637, 6708, 6150, 1056, 8071, 8428, 2597, 8541, 7003, 7015, 9144, 7339, 8756, 6311, 3858, 6914, 4148, 1577, 9684, 9658, 5658, 1570, 1692, 4585, 7331, 9372, 2989, 5899, 56, 75, 6494, 2045, 3135, 2644, 3102, 1207, 7424, 5699, 9748, 4427, 9066, 5245, 1767, 7822, 1556, 1977, 1089, 5705, 3554, 773, 1715, 5564, 2343, 3407, 149, 6026, 2779, 9490, 8277, 9187, 9566, 4771, 7584, 2701, 3767, 686, 260, 1192, 2738, 6361, 5619, 1804, 1606, 3738, 5979, 9514, 5715, 3420, 1571, 5621, 545, 3286, 1185, 2888, 3045, 7687, 5266, 2176, 7177, 3544, 1363, 3095, 4667, 5300, 2149, 8435, 5986, 2409, 9627, 5076, 5122, 1598, 3233, 6728, 5337, 5564, 2595, 1052, 8984, 4166, 6674, 9529, 3805, 4211, 8769, 6850, 1898, 387, 5379, 9076, 283, 3094, 2171, 4951, 8394, 672, 9738, 733, 3082, 9365, 5809, 4556, 7315, 5394, 7637, 2652, 958, 232, 57, 6294, 750, 3083, 2175, 4555, 7294, 7296, 1406, 5545, 7684, 6785, 973, 7967, 9879, 9496, 9270, 4626, 169, 9008, 5359, 9603, 4725, 1168, 4159, 2041, 2915, 1796, 1045, 225, 8380, 1102, 6520, 9131, 537, 5047, 3686, 4184, 2344, 1444, 9729, 6380, 4581, 702, 699, 813, 6550, 9970, 5439, 6719, 5330, 798, 6322, 56, 8318, 6834, 8449, 1233, 8630, 9494, 1459, 7011, 6949, 4331, 6142, 7486, 9378, 6180, 1670, 8074, 7625, 7751, 4454, 2206, 4805, 5154, 3019, 1356, 1476, 8458, 8075, 3158, 9256, 750, 3214, 7575, 7584, 8015, 5160, 2566, 7510, 2971, 9577, 4459, 7302, 2071, 8297, 3033, 8252, 6320, 1107, 5877, 4071, 1914, 8083, 8877, 3420, 7455, 233, 4896, 5913, 4660, 8054, 1522, 5410, 7621, 9097, 9346, 1988, 609, 1913, 9498, 3581, 7842, 309, 7235, 6266, 4959, 268, 4518, 1279, 7728, 6747, 5350, 9642, 1182, 4227, 9414, 8637, 812, 4310, 4551, 5473, 8716, 2425, 7235, 2689, 7874, 2934, 4678, 8483, 4847, 528, 2064, 9041, 7190, 9300, 5307, 2149, 5920, 9825, 9780, 3648, 2924, 5130, 9642, 4107, 5710, 9056, 2744, 6522, 9718, 3647, 8347, 4787, 6072, 1935, 7476, 3946, 4869, 8506, 8782, 6068, 5387, 7198, 5109, 8929, 2850, 417, 1078, 8771, 6594, 7210, 8771, 9519, 2340, 4766, 9978, 4402, 3822, 2722, 925, 9893, 2722, 5624, 4680, 5146, 7559, 8508, 5445, 8780, 3367, 4227, 4848, 8754, 1425, 9958, 7683, 628, 6727, 5113, 9399, 3321, 2323, 4522, 9192, 1015, 9288, 9170, 5418, 9463, 8245, 2695, 9356, 7319, 8319, 4036, 2465, 2231, 8896, 4262, 1011, 2263, 8489, 5860, 1017, 6267, 2170, 5052, 3247, 8897, 165, 2646, 8570, 2488, 3520, 4115, 3504, 2809, 9637, 8922, 2272, 7882, 1617, 1628, 1553, 6288, 2016, 4019, 4871, 912, 4633, 5883, 3176, 9475, 8095, 545, 5742, 6617, 5598, 8989, 1866, 5763, 7987, 436, 4604, 7859, 903, 4460, 668, 541, 9734, 9292, 4775, 7703, 7272, 6329, 3991, 5640, 6700, 8863, 6553, 1333, 1098, 6081, 808, 5545, 2978, 2902, 2162, 8576, 8243, 4028, 692, 2582, 816, 1648, 442, 1720, 6108, 7462, 8613, 5842, 6755, 3388, 3545, 4027, 9717, 3888, 9668, 2769, 2751, 2573, 4103, 201, 5006, 4911, 5746, 7984, 4166, 7908, 2913, 2409, 8288, 3605, 4992, 9105, 5253, 1786, 7177, 7713, 9248, 5790, 3555, 6003, 5530, 7100, 6383, 1600, 7340, 2403, 4369, 92, 1328, 8472, 293, 6334, 9736, 6040, 670, 3902, 300, 3583, 2663, 8589, 3540, 4007, 4046, 8793, 5793, 1223, 6506, 1394, 3365, 6413, 7397, 8895, 9865, 132, 6847, 7206, 8887, 1217, 3650, 215, 9689, 3943, 2901, 5777, 6335, 9924, 6031, 2988, 9859, 8695, 7929, 3400, 9054, 1975, 8545, 4848, 9550, 1404, 6242, 2915, 7817, 9991, 8162, 4035, 6476, 5010, 1241, 5363, 6227, 4891, 1931, 2268, 5186, 1184, 4398, 7874, 7460, 429, 7214, 7320, 5476, 5143, 720, 4531, 7118, 9265, 9379, 6668, 7021, 1973, 5935, 4839, 8316, 4097, 8874, 4792, 5459, 6467, 6508, 8038, 7710, 4791, 6659, 2896, 5975, 1057, 7122, 9788, 7838, 4336, 7108, 3315, 9479, 7828, 7846, 6597, 3445, 3577, 9617, 467, 1902, 5552, 1658, 218, 6002, 6884, 5011, 7813, 9703, 7871, 5852, 7413, 2662, 2511, 309, 4989, 9920, 7432, 4777, 7758, 8120, 1885, 1073, 7600, 6065, 8919, 549, 5863, 8848, 6519, 2682, 750, 2071, 692, 969, 4425, 7576, 2332, 2239, 7279, 203, 8091, 4692, 9217, 6954, 1353, 4206, 6874, 5137, 5336, 4632, 3258, 3573, 2058, 7210, 5991, 7329, 7759, 1854, 6178, 630, 888, 3280, 9054, 1580, 4249, 3479, 5508, 2933, 5718, 2787, 9488, 161, 3831, 8705, 3467, 1536, 9264, 341, 6674, 952, 1326, 6284, 877, 9736, 3494, 6868, 7065, 7605, 5074, 9595, 8236, 5962, 2876, 3642, 7542, 3477, 7121, 3050, 2763, 9192, 2189, 2251, 5705, 2372, 7309, 9173, 261, 2925, 5866, 6935, 229, 3544, 9571, 1106, 3280, 9417, 7975, 6698, 3374, 9401, 6293, 7962, 5364, 5521, 1604, 9258, 5351, 8726, 8661, 8114, 4270, 7202, 6717, 9975, 9575, 378, 9148, 9836, 9655, 5015, 3123, 9884, 4911, 9046, 7343, 8192, 8463, 1670, 4890, 1837, 1071, 7535, 6152, 2787, 9409, 7756, 2046, 1112, 6482, 7059, 5578, 752, 4261, 2295, 7080, 188, 9026, 6228, 6376, 8681, 7595, 5851, 4918, 2507, 4897, 2261, 699, 9712, 3931, 1941, 7902, 5002, 5828, 4054, 7790, 1589, 1810, 6188, 2701, 4645, 3247, 8279, 1749, 3860, 6927, 8829, 4049, 5953, 1410, 425, 4634, 9005, 2629, 9552, 1512, 7526, 1813, 8563, 3591, 2096, 6856, 1493, 7099, 9037, 5547, 1241, 626, 3709, 7429, 9680, 8354, 7028, 7959, 6456, 888, 4886, 5285, 1289, 839, 3047, 8067, 1826, 2053, 696, 7730, 9917, 4574, 5896, 4833, 8165, 7992, 8041, 9658, 1443, 7078, 1557, 2684, 4057, 5267, 6465, 3737, 3621, 9845, 1696, 6429, 7086, 2935, 8067, 8375, 126, 1114, 2794, 1952, 3167, 3490, 6035, 9437, 4417, 1931, 4270, 2582, 6275, 8663, 2241, 7719, 5742, 3798, 6755, 9799, 5417, 9573, 3536, 5391, 5770, 1584, 1820, 9208, 4519, 9887, 3936, 4646, 1002, 6730, 2950, 521, 6573, 8985, 6310, 990, 7268, 6932, 3572, 9896, 5596, 2165, 3967, 7690, 2316, 722, 7489, 7733, 6647, 7377, 9476, 8770, 5313, 1297, 7978, 9833, 7536, 1914, 831, 4890, 4997, 133, 1764, 1570, 9119, 8074, 8912, 2739, 1359, 2484, 2635, 6955, 1002, 6602, 4645, 9670, 3677, 8486, 3755, 6676, 2215, 3232, 1798, 7528, 881, 9777, 7361, 8417, 8043, 4544, 3308, 3040, 4678, 5072, 962, 149, 3146, 9874, 2888, 857, 8711, 1876, 7812, 9713, 4830, 8809, 5735, 4859, 7295, 9490, 7888, 5862, 9074, 9686, 3391, 9955, 5815, 7104, 8373, 3859, 1649, 8033, 3251, 6327, 3105, 4214, 2828, 2603, 4088, 2068, 3461, 2799, 3944, 7625, 8864, 5127, 6435, 951, 9986, 82, 6794, 4226, 5945, 5868, 3913, 5688, 2176, 9728, 2792, 6901, 9939, 4441, 4934, 3191, 7120, 4391, 3757, 9948, 6994, 4197, 2017, 6807, 6997, 2313, 4433, 2213, 7440, 7220, 3165, 3779, 3654, 9959, 8005, 5951, 2179, 8270, 1639, 4355, 7999, 4432, 1256, 4290, 5225, 2542, 3833, 2346, 6933, 7590, 8646, 280, 1788, 7015, 7087, 5137, 9329, 7872, 3702, 3121, 1444, 3219, 6900, 5099, 3178, 1258, 1050, 1710, 9528, 9042, 6065, 3879, 3474, 3674, 8170, 5051, 6216, 2003, 7397, 9502, 5946, 2396, 9782, 4086, 9411, 3221, 5575, 8740, 7446, 9277, 8214, 8890, 2497, 5114, 341, 2027, 6372, 7744, 3737, 2253, 6786, 6155, 6132, 6612, 6181, 4302, 1663, 2397, 2658, 5413, 1899, 8604, 4161, 8033, 9042, 3572, 7607, 4617, 8665, 5053, 246, 6879, 295, 9095, 8345, 6989, 7475, 1070, 4733, 7564, 3323, 7871, 3719, 9455, 835, 9900, 110, 8850, 8650, 2768, 4263, 6901, 7724, 4776, 1287, 3118, 8349, 8894, 4087, 3366, 3947, 4333, 6597, 4242, 9781, 4942, 7583, 3608, 2364, 2316, 1172, 2039, 6539, 1244, 7847, 7374, 7496, 7957, 6225, 6146, 7077, 6840, 9400, 1153, 1617, 687, 4271, 6318, 9581, 4710, 9684, 3528, 5395, 2633, 4122, 5176, 3927, 1706, 8784, 6292, 374, 6309, 4683, 3266, 7553, 2530, 640, 5049, 6839, 3217, 7548, 3916, 6410, 6948, 1421, 8027, 7635, 2044, 697, 7216, 6754, 381, 7096, 2150, 9366, 7570, 7326, 3293, 5628, 2463, 9585, 2355, 8772, 621, 5621, 2677, 3151, 2613, 7726, 9991, 5831, 5274, 259, 2241, 2222, 1681, 6620, 6209, 3725, 7317, 9777, 480, 4050, 6873, 8982, 3416, 796, 6308, 6709, 2776, 5123, 2647, 5131, 247, 3268, 752, 2924, 6419, 3366, 7003, 2762, 5549, 8629, 3022, 7790, 852, 4703, 4410, 3413, 4780, 1727, 3191, 1612, 2129, 6416, 594, 5545, 7212, 3255, 2254, 9989, 4730, 1253, 5120, 4978, 4521, 2225, 4254, 7293, 1943, 1257, 55, 7492, 9887, 3077, 1634, 7091, 4132, 6044, 504, 5265, 4123, 3695, 6877, 6252, 6464, 3824, 1797, 3676, 7079, 403, 17, 1809, 1657, 1490, 3139, 2530, 3715, 7394, 9823, 5658, 5003, 9879, 9502, 4890, 9308, 1136, 1981, 9793, 3532, 8838, 5058, 7655, 8885, 8287, 259, 5349, 8463, 8408, 5378, 1894, 5163, 5395, 56, 6820, 6885, 3195, 5703, 6952, 6941, 5526, 8962, 1945, 1757, 8464, 3187, 1066, 9600, 1521, 859, 9484, 359, 2269, 3491, 5596, 6908, 3750, 946, 1724, 8510, 2676, 3618, 26, 8071, 26, 3198, 1309, 3222, 8901, 8261, 6515, 4428, 7224, 8460, 6185, 2040, 8000, 7251, 7993, 9521, 4462, 7477, 9880, 3083, 969, 5476, 6344, 1071, 2774, 4420, 5934, 5450, 8038, 5960, 9874, 8065, 9158, 1183, 7639, 8060, 5796, 506, 2488, 9372, 8967, 5025, 1413, 6967, 2277, 9406, 2840, 3091, 3235, 2720, 2527, 4204, 4548, 5223, 5276, 3675, 9643, 1210, 5477, 4033, 7170, 1703, 2098, 2680, 9238, 6089, 740, 5035, 6596, 3228, 4407, 1915, 8254, 2172, 5234, 6883, 1578, 8074, 6326, 4814, 7146, 5205, 5370, 8046, 6780, 6998, 1721, 6423, 8208, 3551, 457, 1730, 5254, 8907, 4411, 4493, 1349, 1503, 5880, 4297, 1084, 287, 6212, 9338, 2460, 7798, 2573, 390, 5872, 5251, 1556, 9370, 6809, 6927, 7416, 3589, 3925, 5490, 6365, 8486, 9041, 3174, 6568, 647, 2081, 7331, 1492, 9782, 8835, 7372, 4079, 9919, 4012, 6643, 5609, 6472, 4441, 8182, 6862, 6665, 9785, 4771, 6035, 6594, 1698, 9804, 184, 5623, 5294, 2901, 4109, 687, 6075, 7030, 7686, 4508, 4361, 9179, 4291, 3196, 2903, 4722, 3115, 6915, 1366, 8724, 3387, 2159, 3258, 6602, 5177, 9396, 1373, 1212, 5990, 9423, 7368, 2526, 5046, 9014, 5427, 5508, 9701, 1502, 8890, 3740, 6011, 3251, 9271, 6654, 6448, 2174, 1376, 5915, 9090, 9094, 992, 8829, 1254, 4250, 1783, 6431, 3646, 3156, 3995, 5989, 8931, 7716, 4867, 330, 6730, 295, 2190, 2784, 8149, 1080, 6524, 4160, 4331, 5795, 7166, 7131, 7969, 8543, 3047, 3411, 7637, 391, 2241, 5243, 4641, 4024, 8026, 4640, 3533, 8374, 6981, 2464, 6090, 1848, 2794, 2820, 8495, 4984, 5604, 6645, 6064, 2128, 7157, 6748, 4275, 4324, 3879, 8597, 9219, 3278, 2008, 3208, 3669, 601, 4804, 4663, 4626, 2830, 5655, 4511, 1204, 2636, 3327, 7294, 836, 6122, 115, 5684, 7458, 2071, 2329, 9875, 4200, 5838, 2975, 4827, 6514, 6854, 3424, 2085, 6485, 1785, 5294, 154, 2386, 98, 1169, 3364, 9280, 6824, 4227, 485, 5812, 7555, 4131, 3001, 29, 598, 8685, 7487, 2670, 7366, 3714, 3222, 3204, 6689, 8049, 6071, 9896, 7826, 8156, 2733, 5963, 9802, 2887, 4701, 6252, 409, 4418, 5533, 7233, 8645, 2370, 9398, 6200, 6501, 2399, 6229, 3452, 7436, 69, 6122, 4802, 135, 9344, 4358, 3177, 3745, 429, 3073, 7923, 8586, 5806, 3886, 4740, 5045, 4940, 993, 5454, 9358, 6526, 9040, 8003, 8896, 4790, 556, 1749, 7189, 3137, 5201, 4625, 3206, 7675, 5779, 9694, 3371, 137, 2871, 7117, 567, 2296, 1392, 5505, 4454, 1631, 245, 9499, 6571, 1238, 1306, 2281, 4116, 6698, 6636, 9364, 1488, 7192, 1114, 5029, 330, 2667, 6006, 9888, 6695, 1785, 9582, 66, 1922, 8805, 3535, 8841, 1101, 4928, 4346, 5555, 2911, 944, 1407, 5834, 2182, 9065, 8115, 6299, 5763, 4751, 2015, 3603, 8296, 9481, 4984, 4978, 2149, 990, 1218, 5196, 9127, 7153, 5262, 7401, 5958, 5150, 6243, 7060, 6430, 6941, 8967, 9341, 7885, 374, 1527, 6420, 9439, 9642, 9071, 1554, 745, 1086, 1509, 5393, 568, 2845, 371, 9069, 187, 1590, 4265, 9314, 5095, 5879, 3068, 1053, 1029, 9311, 4465, 7459, 6252, 3433, 3152, 490, 159, 4679, 6910, 5951, 673, 5981, 3857, 1419, 7067, 1719, 6812, 7635, 4564, 3536, 6704, 4752, 1478, 7321, 418, 6573, 3201, 3486, 3978, 582, 9149, 8444, 4394, 1754, 8229, 7546, 2244, 4740, 8578, 9154, 691, 9251, 1487, 901, 7022, 8554, 2620, 187, 2542, 7184, 75, 5598, 8288, 1553, 2920, 5059, 4478, 6121, 4897, 8456, 6703, 4047, 3252, 7449, 2153, 1481, 4996, 4397, 6222, 9926, 9903, 3265, 5529, 1390, 4166, 8904, 6296, 6786, 9091, 8838, 323, 5518, 4437, 4963, 7071, 3709, 6374, 1549, 6182, 1272, 5, 9237, 1671, 3258, 6687, 3824, 1091, 8035, 4573, 3665, 7961, 4476, 6931, 3490, 2218, 1097, 2394, 8514, 4236, 7837, 3705, 911, 3355, 8142, 5874, 6778, 8203, 2249, 8327, 4385, 9873, 4685, 3622, 1544, 4295, 6661, 1720, 1738, 4696, 6293, 5404, 2657, 7121, 2335, 2500, 9339, 9784, 4894, 7853, 372, 9084, 1558, 1283, 8791, 6052, 3510, 5570, 607, 2111, 3897, 4992, 8336, 4934, 4967, 6232, 5581, 1628, 7952, 7320, 6325, 597, 2724, 5334, 7718, 1411, 7834, 7057, 7547, 9081, 1262, 7920, 8165, 9173, 5555, 6956, 5225, 5417, 2526, 2185, 3880, 2776, 7177, 2216, 7710, 8496, 8448, 3292, 125, 2752, 6964, 2802, 3349, 9688, 8136, 1067, 1099, 5971, 8124, 8646, 5052, 9387, 2918, 9569, 4912, 8474, 6525, 6489, 3891, 5404, 8674, 4124, 4532, 2204, 6340, 8594, 700, 1141, 8238, 7177, 3893, 5202, 9979, 7243, 4890, 4468, 8310, 2341, 439, 2787, 988, 1843, 8526, 3906, 1412, 3438, 8732, 4289, 9927, 8976, 6045, 8602, 3100, 577, 806, 9440, 9172, 7858, 581, 7410, 5036, 4475, 2613, 5015, 8070, 3855, 9483, 6380, 6197, 6274, 5519, 7185, 4469, 4045, 7443, 2233, 7483, 2528, 6523, 3763, 1504, 8920, 2365, 4604, 9498, 9523, 396, 5022, 7381, 7330, 8784, 8769, 8157, 1397, 3785, 6227, 5253, 9620, 8959, 7802, 2247, 4479, 1339, 6716, 8524, 8782, 8950, 2360, 7662, 1825, 6123, 9166, 745, 4840, 122, 6595, 715, 519, 7969, 8096, 4201, 6754, 3218, 2358, 8151, 3355, 8585, 9756, 2975, 7544, 3910, 1574, 8375, 5249, 4643, 6900, 384, 3593, 9260, 8046, 1770, 1735, 7213, 8867, 6575, 3687, 5463, 7290, 558, 3432, 1738, 4759, 186, 4956, 7117, 4690, 8311, 2054, 798, 7639, 5951, 4709, 9213, 4326, 9958, 3856, 7578, 342, 3801, 6838, 8389, 5571, 8573, 1954, 4439, 1500, 5641, 6254, 5142, 2552, 6038, 6881, 7311, 2577, 8189, 781, 7267, 2853, 9187, 8065, 492, 5138, 9126, 6057, 5817, 9085, 6266, 3395, 5779, 6419, 6586, 520, 8343, 1511, 8826, 9134, 3012, 820, 5388, 8154, 3372, 7778, 1387, 683, 355, 9577, 7816, 7622, 2430, 7004, 2040, 9274, 8494, 7518, 1683, 4311, 2955, 7949, 4059, 8735, 4369, 645, 5607, 9064, 8508, 4434, 8198, 7872, 5254, 3586, 6027, 4978, 1364, 3766, 2013, 8072, 9695, 9830, 5694, 8477, 6834, 4086, 4103, 5328, 1605, 5787, 5992, 4560, 88, 51, 9647, 809, 7048, 5255, 9873, 5556, 6041, 8071, 3429, 7647, 1657, 5808, 2625, 9374, 5926, 4638, 7446, 5622, 4468, 9492, 451, 7654, 9931, 4555, 2983, 7888, 342, 8975, 2448, 430, 5378, 8448, 1240, 2426, 55, 1113, 4334, 6096, 9185, 4115, 3743, 7194, 9923, 6368, 2920, 5850, 1006, 6718, 7824, 1827, 2563, 4627, 9481, 2494, 9182, 8816, 382, 5876, 4143, 9182, 6307, 9521, 3982, 3899, 8299, 4037, 1364, 2634, 133, 6901, 6749, 3876, 448, 3025, 6596, 3368, 5227, 3955, 6439, 9403, 5782, 9002, 4030, 5263, 7848, 3213, 432, 4582, 9089, 4575, 3764, 1748, 4097, 4099, 1999, 2396, 8136, 3364, 1382, 8270, 265, 4484, 8498, 713, 7509, 5095, 434, 9088, 9050, 3225, 8491, 1184, 8579, 8873, 2799, 6427, 2086, 3231, 1009, 7528, 7807, 1125, 5628, 8256, 5224, 7628, 7004, 9713, 992, 8387, 7983, 7609, 9223, 6481, 4675, 3084, 7928, 5109, 2172, 6978, 4686, 7015, 8162, 3265, 5888, 962, 9692, 4327, 4193, 7053, 1855, 8352, 4530, 7483, 6608, 6107, 5111, 3613, 5820, 2455, 8352, 155, 65, 7575, 6636, 4740, 659, 4565, 6201, 9183, 7895, 7239, 6198, 2410, 504, 2086, 3372, 6548, 6413, 3917, 9953, 4620, 8622, 4483, 8456, 5230, 6942, 9919, 5195, 9114, 2375, 3547, 9269, 8792, 1122, 5906, 3532, 1781, 6823, 6085, 964, 1070, 3324, 3514, 3480, 180, 1953, 3204, 6728, 8366, 3474, 3033, 9339, 2096, 3868, 7795, 3678, 811, 7714, 8874, 9925, 6441, 2421, 9195, 5233, 9896, 1453, 5117, 8029, 4628, 7554, 5346, 5698, 7230, 8860, 5531, 7410, 813, 8735, 490, 5532, 2209, 3523, 4871, 657, 7392, 9018, 4336, 4555, 3084, 9562, 4480, 9526, 8335, 27, 4759, 8231, 7832, 6229, 6261, 2460, 3783, 1607, 4511, 1014, 6819, 42, 8424, 7633, 8777, 8915, 9517, 7339, 8790, 4388, 7996, 2534, 9758, 8684, 7089, 9194, 8246, 7922, 8720, 2934, 7949, 9832, 1165, 2134, 6061, 7426, 4594, 9844, 5385, 5457, 7210, 2205, 5499, 5635, 6190, 629, 902, 5707, 4320, 6044, 6447, 2316, 8579, 6205, 7353, 5668, 5399, 1951, 3590, 472, 4885, 7892, 304, 2403, 26, 2717, 9829, 4620, 8913, 1567, 6430, 6124, 3772, 1929, 8111, 9962, 8910, 9013, 2021, 3230, 5057, 8468, 1899, 9988, 4673, 5604, 5657, 6424, 7555, 9247, 3248, 8793, 7139, 9904, 1196, 3517, 2621, 7377, 4490, 1535, 8944, 920, 4011, 9068, 9201, 2122, 5382, 8112, 7487, 7403, 7694, 2544, 5871, 9593, 8885, 6896, 5197, 4542, 9673, 9105, 141, 2921, 7898, 3633, 2826, 5446, 7150, 5447, 2823, 1640, 3334, 8120, 2560, 7345, 7188, 1762, 5819, 8923, 6226, 3306, 6326, 3920, 5851, 8550, 9866, 1088, 5446, 5063, 5630, 5119, 520, 5771, 4393, 4770, 9404, 7219, 216, 2907, 9018, 3040, 4547, 2353, 1160, 7108, 6050, 4700, 5222, 1870, 3623, 1448, 5176, 6302, 1720, 7379, 4852, 1586, 8467, 6650, 3002, 449, 1770, 9874, 6221, 6163, 4645, 1977, 9734, 4861, 4884, 8752, 7901, 5784, 1105, 5413, 2892, 3508, 6466, 4466, 5378, 89, 2266, 6906, 6391, 338, 638, 7595, 1925, 9105, 4246, 1279, 9555, 2368, 1153, 2128, 4883, 5798, 457, 4617, 7012, 5342, 3369, 1265, 7478, 827, 6679, 6722, 687, 9497, 1188, 2417, 9586, 9806, 9323, 2330, 144, 9961, 6277, 8421, 5419, 523, 9700, 1326, 9243, 7206, 3454, 4126, 9356, 263, 5095, 6368, 5605, 4817, 7634, 9435, 5644, 665, 6157, 2683, 162, 7345, 5100, 6100, 7151, 775, 4782, 7296, 7089, 1060, 2069, 2508, 1583, 1770, 3834, 7179, 5328, 3640, 1305, 1036, 3903, 6401, 7405, 5861, 1218, 1391, 5296, 3214, 8408, ] # def max_area(height: List[int]) -> int: # # Find highest lines # heighest_lines = {"height": 0, "position": []} # # Iterate through array and fill dict # for position, value in enumerate(height): # if value > heighest_lines["height"]: # heighest_lines["height"] = value # heighest_lines["position"] = [position] # elif value == heighest_lines["height"]: # heighest_lines["position"].append(position) # else: # continue # return heighest_lines def max_area(height: List[int]) -> int: heightest_water = 0 for first_position, first_height in enumerate(height): for second_position, second_height in enumerate(height): if first_position == second_position: continue else: shortest_line = ( first_height if first_height < second_height else second_height ) length = abs(first_position - second_position) tmp_area = shortest_line * length if tmp_area > heightest_water: heightest_water = tmp_area return heightest_water print(max_area(test_array))