11 Container With Most Water.py

from typing import List


class Solution:
    def maxArea(self, height: List[int]) -> int:
        index = 0
        l_i = 0
        r_i = len(height) - 1
        max_area = 0
        while index < len(height):
            if height[l_i] < height[r_i]:
                min_height = height[l_i]
                increment_left = True
            else:
                min_height = height[r_i]
                increment_left = False
            max_area = max(max_area, min_height * (r_i - l_i))
            if increment_left:
                l_i += 1
            else:
                r_i -= 1
            index += 1
        return max_area

# class Solution:
#     def maxArea(self, height: List[int]) -> int:
#         # Generate set of potential highpoints
#         l_to_r_i = list()
#         max_height = 0
#         for index, this_height in enumerate(height):
#             if this_height > max_height:
#                 max_height = this_height
#                 l_to_r_i.append((index, this_height))
#         r_to_l_i = list()
#         max_height = 0
#         for index, this_height in reverse_enum(height):
#             if this_height > max_height:
#                 max_height = this_height
#                 r_to_l_i.append((index, this_height))
#
#         area = 0
#         for left_index, left_height in l_to_r_i:
#             for right_index, right_height in reversed(r_to_l_i):
#                 if left_index > right_index:
#                     continue
#                 min_wall = min(left_height, right_height)
#                 area = max(area, min_wall * (right_index - left_index))
#         return area
#
#
# def reverse_enum(input_list: list):
#    for index in reversed(range(len(input_list))):
#       yield index, input_list[index]


for my_input, ans in [
    ([1,8,6,2,5,4,8,3,7], 49),
    ([1,1], 1),
    ([4,3,2,1,4], 16),
    ([1,2,1], 2),
    ([488, 8584, 8144, 7414, 6649, 3463, 3453, 8665, 8006, 1313, 3815, 7404, 6969, 7759, 3643, 8530, 9792, 1815, 2480, 6996, 1151, 2849, 3432, 1198, 6125, 1666, 978, 930, 1678, 3348, 5223, 2167, 1932, 3367, 5933, 4933, 6830, 9386, 9951, 1188, 7051, 118, 8593, 373, 7877, 2236, 5255, 7669, 4051, 7735, 1018, 1554, 584, 4450, 9105, 3061, 2468, 83, 3992, 498, 9784, 5567, 2665, 8068, 8935, 4951, 3002, 5765, 4337, 9305, 3306, 7741, 9423, 1899, 8114, 7301, 487, 3369, 4970, 890, 7456, 2340, 8797, 4392, 6790, 7902, 3805, 5610, 7985, 4149, 6109, 4121, 9717, 5126, 2190, 8652, 77, 1544, 769, 767, 849, 4075, 8508, 272, 2326, 2974, 7573, 9165, 2695, 8896, 56, 6503, 1236, 8853, 7247, 4379, 6755, 1052, 9989, 1092, 5202, 6098, 5214, 4919, 7577, 3756, 9923, 7654, 5300, 7044, 8421, 6149, 1120, 3281, 6421, 9798, 2607, 347, 8964, 5302, 9243, 5372, 1805, 479, 4225, 9052, 1210, 7332, 6457, 1200, 8424, 8011, 3650, 9990, 9282, 1227, 3746, 9205, 5234, 9046, 6249, 7, 1547, 3721, 3289, 4321, 9872, 5896, 4668, 8836, 1199, 3911, 560, 9356, 742, 4785, 4761, 1953, 8469, 1218, 9505, 3245, 5581, 9507, 3236, 4863, 7087, 3334, 4068, 2321, 8733, 6669, 2328, 280, 391, 1969, 4601, 6615, 7866, 9269, 1803, 5417, 9532, 2363, 1125, 6627, 7148, 5886, 4932, 1969, 3456, 4437, 5214, 9037, 296, 4802, 252, 7383, 8137, 4320, 9704, 6870, 7342, 8385, 3502, 4085, 354, 8104, 700, 4572, 3725, 2503, 9989, 9610, 4866, 7467, 6237, 8366, 9705, 1169, 335, 9514, 1958, 1901, 4903, 2254, 6704, 5156, 9638, 1193, 9476, 5694, 8063, 3170, 4079, 7917, 7255, 4434, 2373, 7955, 9006, 6099, 458, 5348, 2061, 1676, 2815, 8298, 42, 2520, 5819, 6729, 2034, 7777, 8631, 6938, 31, 5335, 8446, 6021, 6528, 7922, 1716, 943, 1093, 5795, 8860, 4700, 6581, 7586, 2656, 1940, 3685, 3114, 3640, 5746, 4791, 2807, 396, 1185, 1679, 6215, 7915, 3714, 3992, 6546, 7004, 375, 8233, 5450, 6397, 1113, 9724, 8113, 8408, 7169, 260, 3620, 1870, 3194, 1206, 4526, 5134, 4891, 3992, 5126, 6989, 5135, 7933, 3737, 2673, 9612, 9952, 588, 9678, 296, 3486, 3034, 672, 8071, 4836, 3421, 9184, 4561, 1534, 7592, 8082, 8146, 7564, 9952, 1340, 8771, 830, 2826, 14, 1175, 7952, 3356, 2662, 2237, 7093, 5335, 1850, 3398, 2275, 7880, 3694, 2113, 915, 718, 184, 5751, 491, 5720, 6664, 2025, 3312, 4747, 6524, 877, 1051, 7864, 6000, 8234, 7043, 6014, 5761, 1347, 9370, 8423, 3585, 6464, 111, 1787, 6214, 8738, 9667, 6260, 852, 6934, 6979, 1036, 2686, 3822, 3109, 5702, 5848, 6421, 449, 8724, 3650, 7853, 6588, 6002, 2439, 9983, 2017, 8200, 1331, 7739, 2975, 4916, 555, 9438, 3055, 6769, 8177, 9074, 3030, 5381, 6009, 6361, 6417, 5047, 183, 5878, 749, 2383, 2300, 7551, 1107, 2302, 5404, 4048, 4657, 7843, 4031, 6674, 2395, 1714, 4413, 5370, 6630, 4969, 4809, 6037, 1738, 9338, 5112, 1120, 4719, 1121, 7481, 7488, 6168, 4017, 3367, 6917, 6400, 2019, 4468, 7508, 673, 6224, 7908, 5330, 419, 8291, 2004, 2814, 6, 2770, 8185, 2988, 4091, 9346, 9026, 2181, 8684, 4138, 3302, 3403, 1611, 7135, 891, 7779, 1152, 4258, 1048, 7553, 6277, 1869, 1413, 6951, 4445, 5673, 2281, 4865, 3964, 638, 7679, 3970, 3408, 5864, 6959, 3851, 5210, 5985, 6032, 3894, 6475, 5686, 3649, 8086, 2822, 4541, 5865, 326, 8799, 3265, 4231, 5077, 5134, 5644, 8380, 9580, 7669, 661, 797, 1634, 7651, 8476, 5604, 7411, 693, 8915, 1262, 5903, 4900, 3647, 6150, 7727, 9333, 9799, 5813, 2155, 692, 8030, 8834, 9492, 1296, 3065, 921, 2782, 5062, 5653, 8714, 2731, 2666, 9511, 4365, 318, 4340, 6322, 7729, 5033, 5237, 8992, 7288, 6490, 8991, 9790, 4217, 8324, 9590, 31, 6832, 6634, 4413, 5666, 6126, 5709, 8731, 3399, 4844, 3793, 9052, 9910, 6525, 1719, 9422, 7242, 8389, 114, 3564, 6118, 5147, 8802, 1462, 2435, 1644, 453, 2226, 5861, 8778, 8168, 2244, 1962, 4802, 6658, 7628, 7281, 8719, 6359, 7032, 9915, 153, 6085, 9826, 3030, 4156, 5600, 272, 2545, 5714, 3837, 5015, 861, 8991, 6478, 9648, 6987, 3283, 8226, 2848, 8413, 6394, 1445, 375, 7549, 4455, 8003, 1182, 3174, 715, 8214, 3090, 7220, 651, 9268, 250, 1159, 4868, 6874, 3704, 582, 7063, 5072, 7795, 6054, 1550, 7443, 3041, 1185, 5670, 2242, 9599, 8416, 39, 6326, 2317, 4494, 4330, 3499, 4020, 1397, 8066, 3462, 8617, 5069, 2730, 5219, 6229, 7598, 2093, 6285, 8180, 9157, 1357, 5975, 1563, 9259, 9771, 957, 445, 5441, 3199, 6396, 209, 3238, 2722, 2527, 4084, 3404, 2378, 8104, 4801, 6796, 1567, 3418, 1866, 4297, 4989, 8095, 8248, 7083, 732, 6428, 2592, 2090, 8756, 4155, 1349, 8527, 1464, 1794, 3968, 4663, 8190, 529, 4253, 7265, 9408, 4689, 669, 8139, 2794, 5471, 4935, 713, 5241, 3153, 1362, 6583, 7600, 9610, 3666, 8333, 6039, 2610, 423, 1147, 3117, 1772, 9674, 4582, 9919, 9994, 5597, 4461, 523, 6203, 1726, 9932, 892, 8748, 4423, 38, 571, 9358, 7103, 2164, 8864, 8466, 8747, 6464, 8076, 8765, 1149, 467, 1375, 1572, 1614, 4493, 9697, 7640, 5427, 9616, 7634, 1024, 429, 4510, 7227, 8508, 794, 4472, 7256, 5217, 4510, 4179, 927, 1614, 6343, 9791, 80, 1443, 2608, 4508, 208, 3757, 1328, 1584, 5330, 9294, 2429, 1379, 6935, 7856, 7347, 921, 8880, 7776, 5431, 2460, 2636, 6225, 6932, 6244, 7794, 7794, 423, 8722, 9408, 3119, 4865, 5840, 4562, 7473, 6701, 4770, 1231, 4381, 2706, 2913, 3675, 5135, 4292, 6962, 9343, 1639, 7884, 8224, 5767, 9667, 7036, 8404, 2245, 3968, 4648, 39, 1762, 1424, 5113, 7523, 4543, 9979, 9715, 9105, 7452, 6416, 227, 8683, 797, 2934, 1596, 825, 8069, 2240, 7787, 3765, 3879, 2023, 1989, 9647, 8043, 5377, 4403, 288, 5697, 9051, 327, 3811, 475, 1793, 1334, 1370, 1772, 1050, 475, 9224, 3818, 703, 4260, 4616, 9989, 2208, 5441, 8058, 4449, 9580, 8175, 4680, 7956, 164, 679, 5999, 1893, 5082, 6287, 7590, 486, 2966, 1402, 7313, 4759, 2736, 8684, 6531, 138, 9159, 2108, 3957, 6214, 2720, 4925, 6203, 4928, 6718, 614, 5729, 6298, 8789, 6762, 4254, 5306, 7441, 6605, 3551, 8876, 2892, 1142, 9362, 2211, 2544, 6675, 6970, 1632, 5359, 9854, 8123, 871, 8314, 2080, 3437, 1034, 3357, 5993, 2314, 75, 2959, 4396, 2725, 1748, 1158, 3332, 3406, 4951, 9937, 6958, 3827, 2830, 4452, 3189, 5041, 6996, 6217, 8363, 4980, 7928, 4569, 3103, 8799, 2883, 1535, 8589, 269, 4892, 4582, 8936, 4967, 7541, 3332, 7693, 5641, 842, 1025, 5400, 5793, 962, 2358, 9621, 144, 6810, 9162, 1537, 158, 5379, 6253, 1490, 9660, 822, 4594, 8459, 58, 6129, 7048, 327, 7374, 7982, 5615, 2341, 5523, 5299, 6386, 7517, 6141, 3763, 2917, 8287, 1078, 1627, 4260, 7574, 4789, 3422, 9112, 4947, 5154, 5365, 2789, 4814, 2539, 7383, 9625, 2597, 9865, 3026, 9277, 7239, 1008, 4892, 5932, 2884, 192, 8671, 6753, 2685, 2434, 9670, 972, 3512, 7649, 5232, 1087, 2438, 5007, 6551, 3737, 6513, 8268, 6526, 1327, 807, 3910, 7304, 9757, 127, 330, 9034, 3718, 7691, 278, 9650, 6927, 6822, 8321, 32, 5860, 7108, 9702, 6832, 6972, 7351, 8417, 8059, 6141, 3424, 962, 9878, 9937, 9230, 6404, 7616, 6390, 6666, 1272, 6147, 3145, 7955, 1533, 6863, 1998, 8163, 2866, 5277, 4986, 1187, 5309, 846, 4647, 1363, 4030, 1620, 5066, 2447, 6031, 1207, 2223, 6994, 1085, 8512, 2576, 3841, 2480, 8966, 6860, 3753, 1465, 5, 1708, 2998, 6869, 3706, 7514, 9735, 8983, 2500, 7274, 4292, 9698, 1922, 2007, 80, 3542, 7073, 2528, 9573, 8280, 1103, 2919, 5717, 9616, 5496, 9558, 2096, 814, 6418, 2201, 2280, 6424, 3909, 1630, 9645, 3967, 9144, 9380, 9302, 7996, 6654, 9946, 4046, 4928, 1953, 4127, 8470, 9026, 3007, 4396, 7306, 462, 7315, 9375, 6430, 9163, 8934, 8527, 9978, 1704, 7080, 8610, 4480, 7342, 240, 4125, 1309, 5737, 3505, 612, 85, 6512, 6910, 4132, 1440, 8864, 4611, 6263, 7890, 3970, 659, 1549, 4432, 4326, 7276, 863, 3490, 6210, 5742, 9820, 4267, 2822, 8430, 5099, 164, 5022, 9225, 7826, 759, 9082, 4790, 7197, 1946, 1700, 7681, 3387, 6916, 2292, 6002, 1159, 2614, 6661, 9060, 7046, 7339, 6336, 4261, 829, 8899, 6355, 7001, 3166, 5530, 5431, 4617, 2046, 454, 3842, 9872, 7565, 9277, 1014, 4762, 7575, 2715, 2443, 7314, 5983, 1087, 3316, 7142, 3701, 9977, 6202, 7100, 3669, 2539, 1361, 850, 1438, 4069, 7852, 956, 9599, 3283, 5573, 1645, 3737, 5768, 1518, 1303, 1397, 2532, 2417, 8972, 1599, 4861, 6287, 3935, 5948, 9603, 1077, 9650, 5933, 7280, 6750, 9602, 6171, 4463, 452, 3961, 8532, 8304, 4917, 4483, 7940, 6842, 6129, 8029, 2610, 3999, 5684, 4007, 2883, 8102, 9332, 4483, 2963, 5619, 4770, 5263, 1574, 5847, 4913, 7507, 9479, 8015, 3461, 5650, 8831, 266, 9611, 7363, 4922, 880, 1847, 2862, 7723, 4328, 7244, 6685, 8327, 2928, 7045, 1210, 1030, 6377, 2045, 345, 8348, 6815, 5609, 9922, 2663, 6874, 3782, 8494, 4890, 3595, 4145, 3721, 3861, 108, 7436, 8784, 7341, 5635, 7998, 1416, 9963, 5242, 8101, 4642, 4523, 5146, 5853, 1905, 7875, 4250, 2251, 2575, 1066, 4212, 8850, 81, 1086, 2632, 8575, 2328, 2579, 9072, 6049, 6441, 5533, 9838, 1577, 2874, 1825, 5927, 4290, 8141, 1170, 8743, 2783, 2045, 242, 4988, 3950, 4469, 9239, 6201, 7045, 305, 6765, 5895, 6738, 7852, 4879, 5313, 180, 7458, 738, 2582, 251, 6271, 8772, 8180, 5497, 597, 4108, 6139, 5090, 1630, 4882, 4226, 3675, 1476, 9214, 7625, 5946, 8453, 179, 2991, 5110, 6944, 5238, 1848, 4796, 6469, 3514, 1329, 279, 4252, 263, 6883, 6875, 9035, 5063, 2372, 5984, 9171, 4863, 1075, 801, 9745, 5301, 828, 1222, 867, 8454, 3520, 5673, 8633, 2863, 783, 1929, 8101, 8984, 6726, 922, 8850, 4407, 1201, 9454, 4670, 8084, 6329, 3705, 3148, 5053, 6041, 8671, 9916, 7116, 5825, 6013, 8769, 6653, 7235, 9637, 5107, 7107, 1662, 92, 9970, 8797, 2022, 4423, 7781, 5100, 5345, 2983, 9507, 2899, 2437, 529, 7335, 8766, 4234, 483, 171, 275, 5507, 87, 3744, 1332, 6101, 8865, 4337, 9688, 4854, 9445, 6796, 6516, 5889, 6766, 5314, 4263, 1190, 9447, 9363, 2887, 2431, 5222, 5786, 4868, 5751, 3122, 9987, 6337, 9957, 158, 2965, 1816, 6598, 6709, 3148, 2699, 1926, 7486, 8739, 6781, 3283, 5535, 9649, 5524, 8654, 4963, 9788, 6196, 4411, 5503, 9083, 3194, 726, 1222, 4414, 2829, 4344, 753, 9167, 653, 7264, 2132, 2470, 3862, 5193, 1970, 2913, 7119, 5808, 1652, 252, 9091, 3540, 9902, 968, 2194, 1217, 7108, 4742, 1980, 2611, 3825, 5174, 9689, 5047, 5941, 8871, 5743, 6694, 8038, 2749, 3958, 6522, 5219, 7820, 8067, 7189, 7085, 1538, 9350, 5090, 1791, 8441, 8630, 8045, 5761, 7176, 9262, 2869, 1918, 1243, 5481, 2095, 2769, 1522, 3495, 8710, 393, 9238, 5405, 4783, 8339, 9363, 7657, 3558, 3536, 5724, 7100, 6973, 7263, 6450, 2063, 5406, 1243, 7045, 3451, 7005, 4221, 9065, 6226, 2491, 308, 8059, 4587, 3078, 9582, 8082, 8140, 6327, 3672, 3545, 1111, 2012, 9261, 5120, 1922, 9149, 845, 9022, 6122, 4460, 1824, 4538, 9866, 3068, 1583, 9669, 6425, 5805, 8734, 9003, 4648, 5395, 7063, 9235, 8473, 2997, 3669, 2965, 9324, 3694, 6511, 6787, 5706, 2124, 1908, 3980, 1273, 9105, 3003, 3747, 3565, 1179, 8285, 9783, 599, 9869, 9452, 3376, 2026, 4538, 2380, 6674, 9933, 9443, 2262, 4758, 8792, 5931, 7724, 8116, 9625, 587, 1256, 1683, 2711, 9516, 5664, 3984, 8621, 5019, 4083, 2186, 6198, 2369, 8321, 3150, 8590, 4125, 6526, 616, 8663, 5258, 3642, 4949, 4701, 5904, 6059, 9845, 8188, 3783, 7962, 4165, 722, 5570, 2201, 3433, 5086, 7865, 3769, 3707, 9236, 7853, 2245, 1786, 222, 566, 4936, 8812, 4691, 7815, 5780, 9706, 3073, 5774, 4655, 4127, 1679, 7067, 3972, 6219, 7202, 8286, 6736, 7925, 3856, 8937, 1358, 8942, 3154, 1480, 9001, 2390, 9333, 1246, 4177, 5907, 8164, 5465, 1071, 2855, 3280, 6851, 8914, 2706, 2625, 9921, 6833, 656, 6988, 805, 3227, 4191, 9092, 9964, 2116, 9300, 5253, 9826, 8243, 8408, 1306, 3596, 798, 6991, 4843, 1327, 9250, 3007, 3145, 321, 2215, 2777, 3524, 7481, 5483, 2502, 7402, 2316, 9510, 4391, 9474, 2738, 4934, 4918, 9054, 7050, 4218, 4307, 3228, 8813, 9067, 887, 2410, 6218, 7878, 3605, 7545, 7129, 2964, 7042, 3802, 1531, 9820, 7327, 9012, 1655, 9829, 6415, 324, 9339, 7158, 9798, 8429, 2092, 1068, 3835, 5494, 5286, 8143, 5074, 452, 7210, 5961, 9214, 3428, 192, 9171, 7326, 3673, 2135, 720, 7475, 19, 540, 1154, 9031, 2196, 7335, 1798, 2520, 6675, 5308, 8670, 1456, 7400, 9738, 5292, 9246, 1376, 9787, 4321, 8180, 3349, 6634, 7394, 3130, 6826, 2917, 456, 499, 1405, 1176, 4327, 1424, 8069, 5481, 6807, 6617, 2817, 4958, 9137, 5844, 266, 4159, 7300, 4019, 249, 8944, 3265, 1625, 8731, 3938, 6158, 2081, 573, 9904, 5211, 7399, 2822, 2019, 4251, 4227, 9547, 8578, 2003, 7616, 4059, 8810, 4233, 3228, 3768, 9722, 9072, 387, 233, 2725, 4406, 482, 1669, 4023, 8460, 6753, 4314, 4618, 8834, 4887, 4522, 397, 8638, 3696, 2416, 2889, 4275, 8315, 7819, 6278, 2284, 1879, 5089, 2869, 1459, 5209, 2592, 532, 1948, 9177, 3257, 6354, 9660, 4926, 6730, 4472, 1679, 1044, 9090, 6865, 5931, 9964, 3614, 921, 3661, 2382, 163, 7936, 698, 7982, 567, 2982, 6213, 2008, 5851, 7673, 3569, 4795, 8205, 5518, 3973, 7814, 8224, 9985, 9092, 4954, 4457, 7124, 5998, 9899, 3989, 8281, 6215, 7604, 5555, 6228, 6338, 5718, 517, 7036, 3700, 1084, 18, 6266, 3092, 2222, 3939, 6661, 7017, 8496, 2179, 7342, 6310, 404, 3679, 5402, 1710, 4488, 2526, 4061, 4387, 2868, 2342, 6955, 6824, 4249, 3183, 3162, 9967, 3700, 199, 20, 4784, 6569, 6286, 4228, 5143, 225, 890, 8513, 8721, 9421, 5855, 5031, 6177, 5887, 6785, 4240, 375, 5664, 8301, 1115, 8532, 6995, 8070, 1708, 1245, 1253, 4870, 1212, 1306, 1421, 1232, 6090, 4343, 7518, 6671, 9486, 4095, 3913, 7999, 2816, 9686, 207, 4199, 5864, 6094, 7337, 104, 2821, 3001, 4757, 3936, 7885, 1752, 8358, 9593, 2997, 5964, 815, 562, 7270, 2237, 1794, 9712, 6580, 5665, 6383, 2418, 6112, 296, 418, 5281, 9983, 625, 5832, 2199, 3071, 3169, 8655, 2244, 2522, 3412, 2533, 407, 5164, 891, 0, 4514, 6855, 7168, 5076, 477, 9405, 3222, 190, 2337, 5239, 2925, 1107, 1352, 3222, 1525, 6633, 9557, 8502, 2465, 1756, 7925, 1987, 6763, 170, 4509, 175, 2703, 1269, 1691, 3594, 7621, 2557, 6802, 4789, 7633, 3631, 546, 7208, 173, 2883, 8799, 3099, 343, 151, 2673, 1868, 3136, 2230, 6723, 1954, 338, 4648, 3941, 7101, 1170, 4802, 3628, 3873, 6071, 1671, 3820, 3693, 4229, 6974, 8482, 8214, 605, 5381, 5422, 7131, 4616, 4222, 230, 4959, 725, 2903, 3180, 214, 5133, 9903, 2168, 1823, 903, 2461, 8924, 2074, 7263, 8904, 2299, 9687, 575, 2471, 9732, 4804, 9445, 4566, 9371, 6403, 9947, 1145, 3534, 4564, 1719, 116, 9523, 2445, 3019, 2703, 2659, 4504, 8958, 1179, 2679, 6214, 3640, 1603, 4640, 7255, 507, 6939, 3294, 7434, 9411, 3026, 8591, 5208, 7593, 7962, 7963, 7540, 9107, 1497, 8456, 827, 7965, 7980, 9624, 984, 7035, 2283, 1840, 5994, 9814, 4519, 2208, 3454, 2474, 6848, 7061, 9333, 139, 356, 6768, 5902, 3382, 1711, 1111, 7327, 9673, 9074, 1220, 8780, 6924, 9676, 9607, 4889, 4008, 9231, 2226, 1044, 7866, 418, 3390, 7680, 1290, 1950, 7486, 116, 5150, 4548, 9450, 1641, 1256, 2570, 7544, 990, 4281, 8655, 8318, 306, 4081, 9538, 9086, 7357, 5566, 5046, 8599, 9575, 629, 825, 6971, 4848, 7595, 361, 2528, 8885, 8663, 6367, 9002, 3813, 7267, 4804, 5454, 8523, 3726, 2998, 9513, 4359, 8005, 4183, 4665, 8439, 3721, 103, 5796, 5640, 5149, 4395, 5215, 5779, 1572, 2186, 627, 9168, 8899, 9507, 4405, 7562, 5874, 9759, 1375, 9493, 915, 3181, 8016, 993, 2532, 3882, 5352, 537, 8065, 6369, 5328, 8139, 6473, 1125, 3779, 1622, 1872, 5346, 3753, 3445, 7532, 4380, 8965, 2783, 240, 3370, 345, 2466, 9482, 8072, 1960, 397, 1253, 6328, 1391, 137, 6562, 3095, 675, 4628, 9465, 2355, 9119, 5938, 9832, 9250, 3912, 1705, 4596, 7666, 1502, 8480, 8398, 467, 1263, 8638, 189, 7960, 7457, 9671, 6032, 9417, 6421, 3637, 2097, 4164, 3775, 8660, 7259, 802, 9640, 3076, 3157, 8759, 9014, 2990, 8009, 9279, 1047, 8957, 6945, 2549, 7437, 5343, 9368, 5052, 334, 9557, 3012, 7791, 5581, 5396, 3560, 8354, 9033, 5657, 2518, 9160, 669, 6129, 9962, 309, 9206, 9472, 9068, 4572, 8814, 3429, 3851, 9861, 8738, 7148, 8762, 6175, 2492, 8130, 7579, 9178, 7687, 6943, 3321, 9620, 2339, 6881, 7974, 7725, 8890, 492, 3237, 9560, 2974, 9552, 9869, 8532, 9024, 5290, 3104, 4190, 5071, 3308, 4051, 3810, 456, 9165, 6337, 9300, 7295, 3917, 4830, 4982, 860, 8151, 955, 9552, 5032, 8929, 3629, 275, 5774, 6866, 9835, 8748, 6418, 9704, 7280, 1794, 1346, 6736, 5984, 6418, 44, 6387, 228, 6853, 5552, 6565, 2505, 9199, 6834, 7336, 534, 7695, 5487, 1489, 3599, 6872, 418, 3580, 7147, 6192, 446, 6982, 4940, 3217, 3038, 8572, 1363, 737, 5309, 3700, 7155, 1705, 87, 3735, 4910, 1992, 300, 7416, 1191, 7135, 4752, 1725, 1182, 6591, 9566, 1133, 9815, 9985, 4713, 6962, 2529, 1511, 296, 7470, 1080, 9687, 2394, 2444, 424, 4055, 6144, 3931, 5761, 2583, 7666, 671, 927, 4318, 4439, 8471, 7805, 5543, 6548, 5339, 2135, 6115, 6472, 8302, 6100, 7537, 1617, 8629, 5401, 1913, 2451, 6481, 7952, 1198, 5277, 4728, 5253, 7773, 8659, 1014, 357, 2677, 8038, 1284, 6996, 2477, 6107, 4801, 8021, 2656, 141, 6508, 8771, 2965, 4810, 1223, 6855, 6427, 9852, 2256, 4693, 8656, 8737, 8997, 9854, 367, 3726, 5107, 8140, 8737, 2474, 8497, 1415, 6864, 6134, 8411, 5693, 2241, 9564, 3714, 1249, 6057, 6574, 20, 5375, 7737, 1243, 2230, 516, 7448, 4486, 1561, 2456, 9575, 559, 2310, 9942, 4285, 3769, 4435, 3022, 2595, 9284, 789, 9459, 5418, 9200, 5153, 4012, 5117, 5219, 5261, 1174, 8146, 1634, 6549, 5883, 2877, 5131, 2751, 6677, 9617, 4313, 9133, 5545, 1224, 7795, 5487, 5509, 7917, 9922, 4883, 512, 9207, 5673, 6324, 977, 1225, 7829, 1341, 6342, 9400, 2955, 3869, 7546, 4589, 6770, 9781, 3818, 1902, 8885, 496, 1519, 3198, 9629, 7064, 4422, 7425, 8904, 6283, 5342, 5178, 7518, 2206, 737, 9543, 4882, 1715, 769, 2711, 9408, 3463, 2112, 2363, 7332, 6010, 3304, 455, 2144, 7123, 2357, 1029, 7619, 228, 579, 3600, 3645, 1353, 7377, 8901, 3988, 2719, 4079, 1506, 1278, 4817, 1050, 6160, 2884, 8171, 8872, 8644, 1634, 7336, 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6663, 7121, 668, 7756, 9983, 6910, 1159, 4174, 2963, 5263, 601, 5807, 2047, 9833, 4171, 4820, 9520, 9097, 1101, 7325, 9042, 1519, 6712, 7864, 4938, 960, 2598, 1775, 1891, 508, 8978, 4906, 3981, 9646, 2662, 3964, 2908, 173, 4491, 5871, 1789, 5092, 8030, 3836, 4925, 2202, 5008, 797, 7651, 6109, 4474, 3045, 3980, 7539, 910, 8918, 8499, 3508, 7046, 6742, 368, 6024, 1649, 701, 5670, 4311, 1018, 4931, 837, 5509, 802, 2626, 601, 5185, 2814, 1878, 7387, 7822, 9027, 1390, 283, 9853, 4435, 615, 7392, 5345, 5885, 5892, 5206, 2931, 8986, 1926, 8955, 635, 2628, 978, 1299, 3646, 5909, 2136, 9155, 3063, 4762, 6108, 8248, 3928, 4338, 1987, 1750, 9717, 3377, 8385, 9570, 7813, 5352, 6963, 9510, 1237, 9207, 1068, 4169, 8193, 2995, 9476, 5181, 1975, 454, 6480, 1973, 2715, 8616, 1128, 5779, 9730, 3588, 379, 10, 4278, 2367, 1760, 3995, 2096, 6497, 9917, 6261, 1849, 6880, 5772, 3086, 2439, 3192, 3607, 6985, 2539, 9436, 2166, 4514, 9890, 8646, 6487, 8958, 3614, 3967, 4737, 9696, 3907, 1468, 9706, 8185, 187, 7818, 8532, 2284, 667, 8450, 8545, 2516, 1682, 669, 1954, 4122, 3862, 1914, 7459, 2753, 1350, 9625, 7268, 7592, 4623, 107, 6550, 4589, 427, 7639, 4285, 4334, 5460, 343, 8872, 5647, 8161, 3756, 4283, 5180, 2206, 9181, 7696, 241, 9850, 6002, 715, 64, 7916, 8174, 2818, 5618, 4151, 6438, 3211, 8774, 2897, 6113, 3363, 3324, 3753, 4000, 4011, 9213, 4343, 9235, 1212, 8856, 2991, 5496, 4036, 1550, 4677, 8084, 1791, 879, 4086, 2506, 944, 8355, 7032, 114, 3973, 1183, 2904, 7184, 9957, 5801, 9650, 9672, 5478, 3403, 3672, 9489, 8968, 4367, 5076, 6532, 3223, 8067, 2028, 3611, 5969, 6705, 1695, 7760, 3937, 2133, 6618, 1233, 488, 3650, 1347, 4462, 1185, 603, 7998, 7494, 6404, 7648, 7166, 1882, 7403, 838, 7723, 6371, 1557, 2799, 9256, 4780, 867, 1284, 4743, 3188, 4342, 6438, 949, 8279, 8572, 3919, 9512, 9060, 3922, 7211, 9874, 5107, 4166, 7873, 2602, 570, 5521, 6120, 8805, 2925, 3311, 6528, 5648, 4868, 9328, 4904, 9649, 6547, 2541, 4392, 9735, 3235, 7183, 7036, 1514, 2107, 7308, 7378, 7519, 1230, 941, 7394, 2689, 5107, 1619, 1643, 2029, 7140, 7764, 834, 6417, 1075, 3715, 8418, 5943, 9395, 9674, 1944, 2294, 2215, 2689, 8381, 5450, 9872, 5418, 3316, 8331, 2726, 7046, 5850, 308, 7987, 9596, 2997, 9446, 1215, 4641, 7828, 4708, 8757, 5014, 7477, 9832, 8729, 2247, 5775, 4476, 1922, 4072, 6770, 489, 6761, 5152, 5940, 2985, 6922, 5608, 1316, 9648, 2655, 3518, 6308, 6994, 9467, 5657, 2793, 7034, 6650, 621, 1742, 5407, 5635, 5572, 5239, 4365, 7819, 7367, 8841, 9741, 1439, 1964, 231, 8200, 7116, 2523, 7537, 4038, 8131, 5205, 38, 7138, 8723, 2698, 4133, 4542, 8355, 6926, 1577, 5006, 7547, 9671, 413, 9534, 5243, 2005, 251, 9415, 9372, 5445, 9156, 7163, 7409, 5739, 1715, 4525, 4614, 9252, 4915, 9098, 4457, 1305, 6236, 9532, 4003, 369, 4075, 2358, 3647, 5652, 3716, 7546, 5323, 482, 7081, 6919, 2487, 7332, 6334, 1859, 2777, 1842, 5374, 6538, 7582, 7089, 7415, 8548, 6341, 2330, 7646, 7150, 9987, 3883, 3034, 3990, 604, 7109, 2701, 604, 9113, 6417, 8150, 789, 6899, 1583, 7708, 5738, 5268, 4042, 3949, 4397, 5884, 9323, 936, 9818, 6412, 8351, 8367, 9105, 7034, 2365, 6255, 7021, 2600, 5642, 7364, 9557, 2751, 6417, 161, 8217, 2834, 4663, 9006, 6086, 6247, 6714, 1824, 7867, 7108, 2126, 2264, 9344, 1449, 3200, 9163, 7862, 7904, 3882, 3319, 1290, 2599, 5927, 4663, 5200, 1569, 8379, 4757, 672, 4796, 1270, 8889, 3983, 5933, 7895, 69, 8532, 961, 8245, 6399, 4421, 371, 5016, 3766, 8173, 4568, 9281, 6035, 8824, 9515, 5706, 114, 2114, 1633, 4778, 3666, 3202, 9509, 8423, 3875, 4306, 9693, 9116, 8289, 1979, 3364, 4710, 511, 4325, 9307, 3263, 5099, 6031, 8279, 8865, 4204, 2847, 4498, 6591, 1672, 4013, 2297, 8138, 2479, 3931, 9268, 6146, 3485, 8778, 4569, 3712, 3084, 615, 2829, 7725, 2594, 6193, 2435, 9457, 6870, 1742, 2720, 1969, 4125, 7351, 7186, 8329, 6551, 8036, 4920, 4575, 2049, 3570, 2713, 881, 3853, 8334, 7027, 3690, 7112, 7948, 7403, 6548, 4915, 232, 4273, 3861, 2777, 3060, 3319, 5999, 4802, 2391, 7969, 8928, 9743, 1507, 3609, 2646, 9544, 4882, 7221, 7945, 8452, 6286, 8826, 8657, 4620, 2205, 2347, 1732, 6506, 9750, 4632, 1421, 6334, 8905, 5283, 9111, 1965, 4954, 5111, 3120, 7345, 9432, 8400, 3440, 7291, 8361, 6086, 6835, 3243, 9659, 4781, 8047, 5946, 9959, 6704, 566, 8517, 9052, 8651, 5023, 8802, 3283, 2796, 5137, 8541, 4431, 600, 6858, 9385, 2063, 6330, 3083, 7847, 1082, 6523, 5139, 9444, 8962, 8326, 2687, 8621, 9459, 7087, 4567, 9419, 3791, 1486, 4288, 2843, 137, 9311, 7998, 9772, 2107, 3135, 8313, 6539, 87, 5172, 2276, 8503, 7854, 5359, 6350, 8937, 8235, 7841, 4733, 7197, 6168, 3772, 2170, 5627, 859, 3090, 1398, 4651, 4576, 5686, 7494, 4713, 1349, 1844, 4485, 3457, 1331, 9151, 6348, 1419, 675, 4976, 6274, 8529, 6688, 8976, 3818, 4923, 6818, 8551, 8472, 2986, 2324, 642, 4965, 3183, 3732, 6364, 7834, 8308, 8402, 1681, 9373, 9752, 3525, 211, 9561, 1209, 9362, 2261, 2628, 37, 7237, 5254, 8566, 3925, 4230, 2385, 5200, 1048, 936, 3672, 386, 3260, 667, 1704, 2796, 751, 8068, 6982, 5412, 2822, 5015, 4785, 2574, 4893, 4996, 2135, 6102, 4358, 4396, 5082, 747, 7986, 336, 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4,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1], 50000000),
]:

    my_sol = Solution().maxArea(my_input)
    print(my_sol, ans)