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 0.002002 0.012187 0.017896, 0.002004 0.011307 -0.016328, 0.002004 0.011307 0.017132, 0.002011 0.012189 0.017893, 0.002011 0.011366 -0.016367,
 0.002011 0.011280 -0.016315, 0.002011 0.011280 0.017119, 0.002011 0.012188 -0.017090, 0.002011 0.012795 -0.017090, 0.002011 0.012795 0.017893,
 0.002014 0.011368 -0.016367, 0.002014 0.011368 0.017171, 0.002019 0.011252 -0.016306, 0.002019 0.011252 0.017109, 0.002023 0.011345 -0.016347,
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 3234, 3084, 3120, -1, 3234, 3120, 3156, -1, 3085, 3049, 3234, -1,
 3234, 3049, 3026, -1, 3234, 3026, 3048, -1, 3193, 3157, 3234, -1,
 3234, 3157, 3121, -1, 3234, 3121, 3085, -1, 3310, 3274, 3234, -1,
 3234, 3274, 3235, -1, 3234, 3235, 3193, -1, 3404, 3374, 3234, -1,
 3234, 3374, 3344, -1, 3234, 3344, 3310, -1, 3032, 3047, 3061, -1,
 3061, 3047, 3083, -1, 3061, 3083, 3097, -1, 3097, 3083, 3119, -1,
 3097, 3119, 3133, -1, 3133, 3119, 3155, -1, 3133, 3155, 3169, -1,
 3169, 3155, 3191, -1, 3169, 3191, 3205, -1, 3205, 3191, 3232, -1,
 3205, 3232, 3248, -1, 3248, 3232, 3272, -1, 3248, 3272, 3286, -1,
 3286, 3272, 3308, -1, 3286, 3308, 3322, -1, 3322, 3308, 3342, -1,
 3322, 3342, 3356, -1, 3356, 3342, 3372, -1, 3356, 3372, 3386, -1,
 3386, 3372, 3402, -1, 3386, 3402, 3416, -1, 3416, 3402, 3427, -1,
 3416, 3427, 3434, -1, 3434, 3427, 3401, -1, 3434, 3401, 3415, -1,
 3415, 3401, 3371, -1, 3415, 3371, 3385, -1, 3385, 3371, 3341, -1,
 3385, 3341, 3355, -1, 3355, 3341, 3307, -1, 3355, 3307, 3321, -1,
 3321, 3307, 3271, -1, 3321, 3271, 3285, -1, 3285, 3271, 3230, -1,
 3285, 3230, 3247, -1, 3247, 3230, 3190, -1, 3247, 3190, 3204, -1,
 3204, 3190, 3154, -1, 3204, 3154, 3168, -1, 3168, 3154, 3118, -1,
 3168, 3118, 3132, -1, 3132, 3118, 3082, -1, 3132, 3082, 3096, -1,
 3096, 3082, 3046, -1, 3096, 3046, 3060, -1, 3060, 3046, 3025, -1,
 3060, 3025, 3032, -1, 3032, 3025, 3047, -1, 3371, 3401, 3231, -1,
 3231, 3401, 3427, -1, 3231, 3427, 3402, -1, 3271, 3307, 3231, -1,
 3231, 3307, 3341, -1, 3231, 3341, 3371, -1, 3154, 3190, 3231, -1,
 3231, 3190, 3230, -1, 3231, 3230, 3271, -1, 3046, 3082, 3231, -1,
 3231, 3082, 3118, -1, 3231, 3118, 3154, -1, 3083, 3047, 3231, -1,
 3231, 3047, 3025, -1, 3231, 3025, 3046, -1, 3191, 3155, 3231, -1,
 3231, 3155, 3119, -1, 3231, 3119, 3083, -1, 3308, 3272, 3231, -1,
 3231, 3272, 3232, -1, 3231, 3232, 3191, -1, 3402, 3372, 3231, -1,
 3231, 3372, 3342, -1, 3231, 3342, 3308, -1, 3031, 3045, 3059, -1,
 3059, 3045, 3081, -1, 3059, 3081, 3095, -1, 3095, 3081, 3117, -1,
 3095, 3117, 3131, -1, 3131, 3117, 3153, -1, 3131, 3153, 3167, -1,
 3167, 3153, 3189, -1, 3167, 3189, 3203, -1, 3203, 3189, 3229, -1,
 3203, 3229, 3246, -1, 3246, 3229, 3270, -1, 3246, 3270, 3284, -1,
 3284, 3270, 3306, -1, 3284, 3306, 3320, -1, 3320, 3306, 3340, -1,
 3320, 3340, 3354, -1, 3354, 3340, 3370, -1, 3354, 3370, 3384, -1,
 3384, 3370, 3400, -1, 3384, 3400, 3414, -1, 3414, 3400, 3426, -1,
 3414, 3426, 3433, -1, 3433, 3426, 3399, -1, 3433, 3399, 3413, -1,
 3413, 3399, 3369, -1, 3413, 3369, 3383, -1, 3383, 3369, 3339, -1,
 3383, 3339, 3353, -1, 3353, 3339, 3305, -1, 3353, 3305, 3319, -1,
 3319, 3305, 3269, -1, 3319, 3269, 3283, -1, 3283, 3269, 3227, -1,
 3283, 3227, 3245, -1, 3245, 3227, 3188, -1, 3245, 3188, 3202, -1,
 3202, 3188, 3152, -1, 3202, 3152, 3166, -1, 3166, 3152, 3116, -1,
 3166, 3116, 3130, -1, 3130, 3116, 3080, -1, 3130, 3080, 3094, -1,
 3094, 3080, 3044, -1, 3094, 3044, 3058, -1, 3058, 3044, 3024, -1,
 3058, 3024, 3031, -1, 3031, 3024, 3045, -1, 3369, 3399, 3228, -1,
 3228, 3399, 3426, -1, 3228, 3426, 3400, -1, 3269, 3305, 3228, -1,
 3228, 3305, 3339, -1, 3228, 3339, 3369, -1, 3152, 3188, 3228, -1,
 3228, 3188, 3227, -1, 3228, 3227, 3269, -1, 3044, 3080, 3228, -1,
 3228, 3080, 3116, -1, 3228, 3116, 3152, -1, 3081, 3045, 3228, -1,
 3228, 3045, 3024, -1, 3228, 3024, 3044, -1, 3189, 3153, 3228, -1,
 3228, 3153, 3117, -1, 3228, 3117, 3081, -1, 3306, 3270, 3228, -1,
 3228, 3270, 3229, -1, 3228, 3229, 3189, -1, 3400, 3370, 3228, -1,
 3228, 3370, 3340, -1, 3228, 3340, 3306, -1, 20, 21, 72, -1,
 72, 21, 73, -1, 72, 73, 204, -1, 204, 73, 205, -1,
 204, 205, 284, -1, 284, 205, 285, -1, 284, 285, 444, -1,
 444, 285, 445, -1, 444, 445, 576, -1, 576, 445, 577, -1,
 576, 577, 760, -1, 760, 577, 761, -1, 760, 761, 920, -1,
 920, 761, 921, -1, 920, 921, 1208, -1, 1208, 921, 1209, -1,
 1208, 1209, 1416, -1, 1416, 1209, 1417, -1, 1416, 1417, 1764, -1,
 1764, 1417, 1765, -1, 1764, 1765, 1968, -1, 1968, 1765, 1969, -1,
 1968, 1969, 2776, -1, 2776, 1969, 2777, -1, 1765, 1417, 1445, -1,
 1209, 921, 997, -1, 761, 577, 605, -1, 445, 285, 341, -1,
 205, 73, 233, -1, 2777, 1969, 2025, -1, 2157, 2686, 2053, -1,
 2053, 2686, 2714, -1, 2053, 2714, 2025, -1, 2025, 2714, 2742, -1,
 2025, 2742, 2777, -1, 2313, 2594, 2261, -1, 2261, 2594, 2630, -1,
 2261, 2630, 2157, -1, 2157, 2630, 2650, -1, 2157, 2650, 2686, -1,
 2518, 2538, 2313, -1, 2313, 2538, 2558, -1, 2313, 2558, 2594, -1,
 2344, 2370, 1661, -1, 1661, 2370, 1689, -1, 1661, 1689, 1633, -1,
 1633, 1689, 1237, -1, 1633, 1237, 1109, -1, 1109, 1237, 1081, -1,
 1081, 1237, 789, -1, 1081, 789, 685, -1, 685, 789, 657, -1,
 657, 789, 473, -1, 657, 473, 369, -1, 369, 473, 327, -1,
 327, 473, 233, -1, 327, 233, 129, -1, 129, 233, 101, -1,
 101, 233, 73, -1, 101, 73, 21, -1, 285, 205, 341, -1,
 341, 205, 233, -1, 341, 233, 549, -1, 549, 233, 473, -1,
 549, 473, 893, -1, 893, 473, 789, -1, 893, 789, 1313, -1,
 1313, 789, 1237, -1, 1313, 1237, 1865, -1, 1865, 1237, 1689, -1,
 1865, 1689, 2398, -1, 2398, 1689, 2370, -1, 577, 445, 605, -1,
 605, 445, 341, -1, 605, 341, 865, -1, 865, 341, 549, -1,
 865, 549, 1025, -1, 1025, 549, 893, -1, 1025, 893, 1473, -1,
 1473, 893, 1313, -1, 1473, 1313, 1997, -1, 1997, 1313, 1865, -1,
 1997, 1865, 2426, -1, 2426, 1865, 2398, -1, 921, 761, 997, -1,
 997, 761, 605, -1, 997, 605, 1053, -1, 1053, 605, 865, -1,
 1053, 865, 1341, -1, 1341, 865, 1025, -1, 1341, 1025, 1577, -1,
 1577, 1025, 1473, -1, 1577, 1473, 2129, -1, 2129, 1473, 1997, -1,
 2129, 1997, 2457, -1, 2457, 1997, 2426, -1, 1417, 1209, 1445, -1,
 1445, 1209, 997, -1, 1445, 997, 1501, -1, 1501, 997, 1053, -1,
 1501, 1053, 1605, -1, 1605, 1053, 1341, -1, 1605, 1341, 1941, -1,
 1941, 1341, 1577, -1, 1941, 1577, 2233, -1, 2233, 1577, 2129, -1,
 2233, 2129, 2493, -1, 2493, 2129, 2457, -1, 1969, 1765, 2025, -1,
 2025, 1765, 1445, -1, 2025, 1445, 2053, -1, 2053, 1445, 1501, -1,
 2053, 1501, 2157, -1, 2157, 1501, 1605, -1, 2157, 1605, 2261, -1,
 2261, 1605, 1941, -1, 2261, 1941, 2313, -1, 2313, 1941, 2233, -1,
 2313, 2233, 2518, -1, 2518, 2233, 2493, -1, 2762, 2763, 1954, -1,
 1954, 2763, 1955, -1, 1954, 1955, 1750, -1, 1750, 1955, 1751, -1,
 1750, 1751, 1402, -1, 1402, 1751, 1403, -1, 1402, 1403, 1194, -1,
 1194, 1403, 1195, -1, 1194, 1195, 906, -1, 906, 1195, 907, -1,
 906, 907, 746, -1, 746, 907, 747, -1, 746, 747, 562, -1,
 562, 747, 563, -1, 562, 563, 430, -1, 430, 563, 431, -1,
 430, 431, 270, -1, 270, 431, 271, -1, 270, 271, 190, -1,
 190, 271, 191, -1, 190, 191, 58, -1, 58, 191, 59, -1,
 58, 59, 6, -1, 6, 59, 7, -1, 2330, 2344, 1647, -1,
 1647, 2344, 1661, -1, 1647, 1661, 1619, -1, 1619, 1661, 1633, -1,
 1619, 1633, 1095, -1, 1095, 1633, 1109, -1, 1095, 1109, 1067, -1,
 1067, 1109, 1081, -1, 1067, 1081, 671, -1, 671, 1081, 685, -1,
 671, 685, 643, -1, 643, 685, 657, -1, 643, 657, 355, -1,
 355, 657, 369, -1, 355, 369, 313, -1, 313, 369, 327, -1,
 313, 327, 115, -1, 115, 327, 129, -1, 115, 129, 87, -1,
 129, 101, 87, -1, 87, 101, 21, -1, 87, 21, 7, -1,
 4440, 2777, 2742, -1, 4440, 2742, 4537, -1, 4537, 2742, 2714, -1,
 4537, 2714, 4538, -1, 4538, 2714, 2686, -1, 4538, 2686, 4579, -1,
 4579, 2686, 4569, -1, 4569, 2686, 2650, -1, 4569, 2650, 4613, -1,
 4613, 2650, 2630, -1, 4613, 2630, 4603, -1, 4603, 2630, 2594, -1,
 4603, 2594, 4645, -1, 2457, 2426, 4711, -1, 4645, 2594, 4635, -1,
 4635, 2594, 2558, -1, 4635, 2558, 4677, -1, 4677, 2558, 2538, -1,
 4677, 2538, 4667, -1, 4667, 2538, 2518, -1, 4667, 2518, 4711, -1,
 4711, 2518, 2493, -1, 4711, 2493, 2457, -1, 2426, 2398, 4711, -1,
 4711, 2398, 2370, -1, 4711, 2370, 2344, -1, 6846, 6845, 6418, -1,
 6418, 6845, 6417, -1, 6418, 6417, 6000, -1, 6000, 6417, 5999, -1,
 6000, 5999, 5577, -1, 5577, 5999, 5576, -1, 5577, 5576, 5183, -1,
 5183, 5576, 5182, -1, 5183, 5182, 4854, -1, 4854, 5182, 4853, -1,
 4854, 4853, 4440, -1, 4440, 4853, 4439, -1, 431, 563, 591, -1,
 747, 907, 983, -1, 1195, 1403, 1431, -1, 1751, 1955, 2011, -1,
 2529, 2509, 2299, -1, 1675, 2356, 2330, -1, 2529, 2299, 2549, -1,
 2549, 2299, 2247, -1, 2549, 2247, 2585, -1, 2585, 2247, 2621, -1,
 2621, 2247, 2143, -1, 2621, 2143, 2641, -1, 2641, 2143, 2039, -1,
 2641, 2039, 2677, -1, 2677, 2039, 2705, -1, 2705, 2039, 2011, -1,
 2705, 2011, 2725, -1, 2725, 2011, 1955, -1, 2725, 1955, 2763, -1,
 2330, 1647, 1675, -1, 1675, 1647, 1619, -1, 1675, 1619, 1223, -1,
 1619, 1095, 1223, -1, 1223, 1095, 1067, -1, 1223, 1067, 775, -1,
 1067, 671, 775, -1, 775, 671, 643, -1, 775, 643, 459, -1,
 2381, 2356, 1851, -1, 1851, 2356, 1675, -1, 1851, 1675, 1299, -1,
 1299, 1675, 1223, -1, 1299, 1223, 879, -1, 879, 1223, 775, -1,
 879, 775, 535, -1, 535, 775, 459, -1, 535, 459, 299, -1,
 299, 459, 219, -1, 1403, 1751, 1431, -1, 1431, 1751, 2011, -1,
 1431, 2011, 1487, -1, 1487, 2011, 2039, -1, 1487, 2039, 1591, -1,
 1591, 2039, 2143, -1, 1591, 2143, 1927, -1, 1927, 2143, 2247, -1,
 1927, 2247, 2219, -1, 2219, 2247, 2299, -1, 2219, 2299, 2484, -1,
 2484, 2299, 2509, -1, 907, 1195, 983, -1, 983, 1195, 1431, -1,
 983, 1431, 1039, -1, 1039, 1431, 1487, -1, 1039, 1487, 1327, -1,
 1327, 1487, 1591, -1, 1327, 1591, 1563, -1, 1563, 1591, 1927, -1,
 1563, 1927, 2115, -1, 2115, 1927, 2219, -1, 2115, 2219, 2448, -1,
 2448, 2219, 2484, -1, 563, 747, 591, -1, 591, 747, 983, -1,
 591, 983, 851, -1, 851, 983, 1039, -1, 851, 1039, 1011, -1,
 1011, 1039, 1327, -1, 1011, 1327, 1459, -1, 1459, 1327, 1563, -1,
 1459, 1563, 1983, -1, 1983, 1563, 2115, -1, 1983, 2115, 2417, -1,
 2417, 2115, 2448, -1, 271, 431, 299, -1, 299, 431, 591, -1,
 299, 591, 535, -1, 535, 591, 851, -1, 535, 851, 879, -1,
 879, 851, 1011, -1, 879, 1011, 1299, -1, 1299, 1011, 1459, -1,
 1299, 1459, 1851, -1, 1851, 1459, 1983, -1, 1851, 1983, 2381, -1,
 2381, 1983, 2417, -1, 643, 355, 459, -1, 459, 355, 313, -1,
 459, 313, 219, -1, 219, 313, 115, -1, 219, 115, 87, -1,
 271, 299, 191, -1, 191, 299, 219, -1, 191, 219, 59, -1,
 59, 219, 87, -1, 59, 87, 7, -1, 6564, 6776, 6790, -1,
 4677, 4667, 4972, -1, 4940, 4956, 5279, -1, 4898, 4922, 5245, -1,
 4854, 4440, 4898, -1, 4898, 4440, 4537, -1, 4854, 4898, 5183, -1,
 5183, 4898, 5229, -1, 5183, 5229, 5577, -1, 5577, 5229, 5636, -1,
 5577, 5636, 6000, -1, 6000, 5636, 6056, -1, 6000, 6056, 6418, -1,
 6418, 6056, 6472, -1, 6418, 6472, 6846, -1, 4898, 5245, 5229, -1,
 5229, 5245, 5652, -1, 5229, 5652, 5636, -1, 5636, 5652, 6072, -1,
 5636, 6072, 6056, -1, 6056, 6072, 6488, -1, 6056, 6488, 6472, -1,
 6472, 6488, 6832, -1, 6472, 6832, 6846, -1, 4537, 4538, 4898, -1,
 4898, 4538, 4579, -1, 4898, 4579, 4922, -1, 4922, 4579, 4569, -1,
 4922, 4569, 4613, -1, 4613, 4940, 4922, -1, 4922, 4940, 5261, -1,
 4922, 5261, 5245, -1, 5245, 5261, 5668, -1, 5245, 5668, 5652, -1,
 5652, 5668, 6088, -1, 5652, 6088, 6072, -1, 6072, 6088, 6504, -1,
 6072, 6504, 6488, -1, 6488, 6504, 6818, -1, 6488, 6818, 6832, -1,
 4940, 5279, 5261, -1, 5261, 5279, 5684, -1, 5261, 5684, 5668, -1,
 5668, 5684, 6104, -1, 5668, 6104, 6088, -1, 6088, 6104, 6520, -1,
 6088, 6520, 6504, -1, 6504, 6520, 6804, -1, 6504, 6804, 6818, -1,
 4613, 4603, 4940, -1, 4940, 4603, 4645, -1, 4940, 4645, 4956, -1,
 4956, 4645, 4635, -1, 4956, 4635, 4677, -1, 4677, 4972, 4956, -1,
 4956, 4972, 5295, -1, 4956, 5295, 5279, -1, 5279, 5295, 5700, -1,
 5279, 5700, 5684, -1, 5684, 5700, 6120, -1, 5684, 6120, 6104, -1,
 6104, 6120, 6564, -1, 6104, 6564, 6520, -1, 6520, 6564, 6790, -1,
 6520, 6790, 6804, -1, 6762, 6776, 6550, -1, 6550, 6776, 6564, -1,
 6550, 6564, 6148, -1, 6148, 6564, 6120, -1, 6148, 6120, 5728, -1,
 5728, 6120, 5700, -1, 5728, 5700, 5323, -1, 5323, 5700, 5295, -1,
 5323, 5295, 5000, -1, 5000, 5295, 4972, -1, 5000, 4972, 4711, -1,
 4711, 4972, 4667, -1, 4734, 2585, 2621, -1, 4697, 2330, 4723, -1,
 4723, 2330, 2356, -1, 4723, 2356, 2381, -1, 2381, 2417, 4723, -1,
 4723, 2417, 2448, -1, 4723, 2448, 2484, -1, 2484, 2509, 4723, -1,
 4723, 2509, 2529, -1, 4723, 2529, 4734, -1, 4734, 2529, 2549, -1,
 4734, 2549, 2585, -1, 2641, 4758, 2621, -1, 2621, 4758, 4745, -1,
 2621, 4745, 4734, -1, 2641, 2677, 4758, -1, 4758, 2677, 2705, -1,
 4758, 2705, 4769, -1, 2975, 4783, 4769, -1, 4769, 2705, 2975, -1,
 2975, 2705, 2725, -1, 2975, 2725, 2763, -1, 4711, 4697, 5000, -1,
 5000, 4697, 4986, -1, 5000, 4986, 5323, -1, 5323, 4986, 5309, -1,
 5323, 5309, 5728, -1, 5728, 5309, 5714, -1, 5728, 5714, 6148, -1,
 6148, 5714, 6134, -1, 6148, 6134, 6550, -1, 6550, 6134, 6536, -1,
 6550, 6536, 6762, -1, 6762, 6536, 6748, -1, 4715, 4701, 5004, -1,
 5004, 4701, 4990, -1, 5004, 4990, 5327, -1, 5327, 4990, 5313, -1,
 5327, 5313, 5732, -1, 5732, 5313, 5718, -1, 5732, 5718, 6152, -1,
 6152, 5718, 6138, -1, 6152, 6138, 6554, -1, 6554, 6138, 6540, -1,
 6554, 6540, 6766, -1, 6766, 6540, 6752, -1, 4444, 2781, 2746, -1,
 4444, 2746, 4545, -1, 4545, 2746, 2718, -1, 4545, 2718, 4546, -1,
 4546, 2718, 2690, -1, 4546, 2690, 4583, -1, 4583, 2690, 4573, -1,
 4573, 2690, 2654, -1, 4573, 2654, 4617, -1, 4617, 2654, 2634, -1,
 4617, 2634, 4607, -1, 4607, 2634, 2598, -1, 4607, 2598, 4649, -1,
 2461, 2430, 4715, -1, 4649, 2598, 4639, -1, 4639, 2598, 2562, -1,
 4639, 2562, 4681, -1, 4681, 2562, 2542, -1, 4681, 2542, 4671, -1,
 4671, 2542, 2522, -1, 4671, 2522, 4715, -1, 4715, 2522, 2497, -1,
 4715, 2497, 2461, -1, 2430, 2402, 4715, -1, 4715, 2402, 2374, -1,
 4715, 2374, 2348, -1, 24, 25, 76, -1, 76, 25, 77, -1,
 76, 77, 208, -1, 208, 77, 209, -1, 208, 209, 288, -1,
 288, 209, 289, -1, 288, 289, 448, -1, 448, 289, 449, -1,
 448, 449, 580, -1, 580, 449, 581, -1, 580, 581, 764, -1,
 764, 581, 765, -1, 764, 765, 924, -1, 924, 765, 925, -1,
 924, 925, 1212, -1, 1212, 925, 1213, -1, 1212, 1213, 1420, -1,
 1420, 1213, 1421, -1, 1420, 1421, 1768, -1, 1768, 1421, 1769, -1,
 1768, 1769, 1972, -1, 1972, 1769, 1973, -1, 1972, 1973, 2780, -1,
 2780, 1973, 2781, -1, 1769, 1421, 1449, -1, 1213, 925, 1001, -1,
 765, 581, 609, -1, 449, 289, 345, -1, 209, 77, 237, -1,
 2781, 1973, 2029, -1, 2161, 2690, 2057, -1, 2057, 2690, 2718, -1,
 2057, 2718, 2029, -1, 2029, 2718, 2746, -1, 2029, 2746, 2781, -1,
 2317, 2598, 2265, -1, 2265, 2598, 2634, -1, 2265, 2634, 2161, -1,
 2161, 2634, 2654, -1, 2161, 2654, 2690, -1, 2522, 2542, 2317, -1,
 2317, 2542, 2562, -1, 2317, 2562, 2598, -1, 2348, 2374, 1665, -1,
 1665, 2374, 1693, -1, 1665, 1693, 1637, -1, 1637, 1693, 1241, -1,
 1637, 1241, 1113, -1, 1113, 1241, 1085, -1, 1085, 1241, 793, -1,
 1085, 793, 689, -1, 689, 793, 661, -1, 661, 793, 477, -1,
 661, 477, 373, -1, 373, 477, 331, -1, 331, 477, 237, -1,
 331, 237, 133, -1, 133, 237, 105, -1, 105, 237, 77, -1,
 105, 77, 25, -1, 289, 209, 345, -1, 345, 209, 237, -1,
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 2402, 1693, 2374, -1, 581, 449, 609, -1, 609, 449, 345, -1,
 609, 345, 869, -1, 869, 345, 553, -1, 869, 553, 1029, -1,
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 1609, 1057, 1345, -1, 1609, 1345, 1945, -1, 1945, 1345, 1581, -1,
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 2029, 1449, 2057, -1, 2057, 1449, 1505, -1, 2057, 1505, 2161, -1,
 2161, 1505, 1609, -1, 2161, 1609, 2265, -1, 2265, 1609, 1945, -1,
 2265, 1945, 2317, -1, 2317, 1945, 2237, -1, 2317, 2237, 2522, -1,
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 7306, 7144, 7279, -1, 7306, 7279, 7425, -1, 7425, 7279, 7401, -1,
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 7695, 7518, 7653, -1, 6536, 6134, 6714, -1, 6714, 6134, 6205, -1,
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 7279, 6616, 7168, -1, 7279, 7168, 7401, -1, 7401, 7168, 7336, -1,
 7401, 7336, 7518, -1, 7518, 7336, 7457, -1, 7518, 7457, 7653, -1,
 7653, 7457, 7539, -1, 6134, 5714, 6205, -1, 6205, 5714, 5770, -1,
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 7168, 5909, 6310, -1, 7168, 6310, 7336, -1, 7336, 6310, 7122, -1,
 7336, 7122, 7457, -1, 7457, 7122, 7258, -1, 7457, 7258, 7539, -1,
 7539, 7258, 7386, -1, 5714, 5309, 5770, -1, 5770, 5309, 5351, -1,
 5770, 5351, 5909, -1, 5909, 5351, 5400, -1, 5909, 5400, 6310, -1,
 6310, 5400, 5494, -1, 6310, 5494, 7122, -1, 7122, 5494, 5802, -1,
 7122, 5802, 7258, -1, 7258, 5802, 6188, -1, 7258, 6188, 7386, -1,
 7386, 6188, 7049, -1, 5309, 4986, 5351, -1, 5351, 4986, 5018, -1,
 5351, 5018, 5400, -1, 5400, 5018, 5043, -1, 5400, 5043, 5494, -1,
 5494, 5043, 5070, -1, 5494, 5070, 5802, -1, 5802, 5070, 5098, -1,
 5802, 5098, 6188, -1, 6188, 5098, 5154, -1, 6188, 5154, 7049, -1,
 7049, 5154, 5368, -1, 4986, 4697, 5018, -1, 5018, 4697, 4723, -1,
 5018, 4723, 5043, -1, 5043, 4723, 4734, -1, 5043, 4734, 5070, -1,
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 5098, 4758, 5154, -1, 5154, 4758, 4769, -1, 5154, 4769, 5368, -1,
 5368, 4769, 4783, -1, 6568, 6780, 6794, -1, 4681, 4671, 4976, -1,
 4944, 4960, 5283, -1, 4902, 4926, 5249, -1, 4858, 4444, 4902, -1,
 4902, 4444, 4545, -1, 4858, 4902, 5187, -1, 5187, 4902, 5233, -1,
 5187, 5233, 5581, -1, 5581, 5233, 5640, -1, 5581, 5640, 6004, -1,
 6004, 5640, 6060, -1, 6004, 6060, 6422, -1, 6422, 6060, 6476, -1,
 6422, 6476, 6850, -1, 4902, 5249, 5233, -1, 5233, 5249, 5656, -1,
 5233, 5656, 5640, -1, 5640, 5656, 6076, -1, 5640, 6076, 6060, -1,
 6060, 6076, 6492, -1, 6060, 6492, 6476, -1, 6476, 6492, 6836, -1,
 6476, 6836, 6850, -1, 4545, 4546, 4902, -1, 4902, 4546, 4583, -1,
 4902, 4583, 4926, -1, 4926, 4583, 4573, -1, 4926, 4573, 4617, -1,
 4617, 4944, 4926, -1, 4926, 4944, 5265, -1, 4926, 5265, 5249, -1,
 5249, 5265, 5672, -1, 5249, 5672, 5656, -1, 5656, 5672, 6092, -1,
 5656, 6092, 6076, -1, 6076, 6092, 6508, -1, 6076, 6508, 6492, -1,
 6492, 6508, 6822, -1, 6492, 6822, 6836, -1, 4944, 5283, 5265, -1,
 5265, 5283, 5688, -1, 5265, 5688, 5672, -1, 5672, 5688, 6108, -1,
 5672, 6108, 6092, -1, 6092, 6108, 6524, -1, 6092, 6524, 6508, -1,
 6508, 6524, 6808, -1, 6508, 6808, 6822, -1, 4617, 4607, 4944, -1,
 4944, 4607, 4649, -1, 4944, 4649, 4960, -1, 4960, 4649, 4639, -1,
 4960, 4639, 4681, -1, 4681, 4976, 4960, -1, 4960, 4976, 5299, -1,
 4960, 5299, 5283, -1, 5283, 5299, 5704, -1, 5283, 5704, 5688, -1,
 5688, 5704, 6124, -1, 5688, 6124, 6108, -1, 6108, 6124, 6568, -1,
 6108, 6568, 6524, -1, 6524, 6568, 6794, -1, 6524, 6794, 6808, -1,
 6766, 6780, 6554, -1, 6554, 6780, 6568, -1, 6554, 6568, 6152, -1,
 6152, 6568, 6124, -1, 6152, 6124, 5732, -1, 5732, 6124, 5704, -1,
 5732, 5704, 5327, -1, 5327, 5704, 5299, -1, 5327, 5299, 5004, -1,
 5004, 5299, 4976, -1, 5004, 4976, 4715, -1, 4715, 4976, 4671, -1,
 104, 24, 76, -1, 2316, 2496, 2236, -1, 2236, 2496, 2460, -1,
 2236, 2460, 2132, -1, 2132, 2460, 2429, -1, 2132, 2429, 2000, -1,
 2000, 2429, 2401, -1, 2000, 2401, 1868, -1, 1868, 2401, 2373, -1,
 1868, 2373, 1692, -1, 2561, 2541, 2316, -1, 2316, 2541, 2521, -1,
 2316, 2521, 2496, -1, 2633, 2597, 2264, -1, 2264, 2597, 2561, -1,
 2160, 2653, 2633, -1, 2717, 2689, 2056, -1, 2056, 2689, 2653, -1,
 2028, 2745, 2717, -1, 236, 132, 104, -1, 104, 76, 236, -1,
 236, 76, 208, -1, 236, 208, 344, -1, 208, 288, 344, -1,
 344, 288, 448, -1, 344, 448, 608, -1, 448, 580, 608, -1,
 608, 580, 764, -1, 608, 764, 1000, -1, 764, 924, 1000, -1,
 1000, 924, 1212, -1, 1000, 1212, 1448, -1, 2780, 2745, 1972, -1,
 1972, 2745, 2028, -1, 1972, 2028, 1768, -1, 1768, 2028, 1448, -1,
 1768, 1448, 1420, -1, 1420, 1448, 1212, -1, 476, 372, 330, -1,
 2717, 2056, 2028, -1, 2028, 2056, 1504, -1, 2028, 1504, 1448, -1,
 1448, 1504, 1056, -1, 1448, 1056, 1000, -1, 1000, 1056, 868, -1,
 1000, 868, 608, -1, 608, 868, 552, -1, 608, 552, 344, -1,
 344, 552, 476, -1, 344, 476, 236, -1, 236, 476, 330, -1,
 236, 330, 132, -1, 792, 688, 660, -1, 2653, 2160, 2056, -1,
 2056, 2160, 1608, -1, 2056, 1608, 1504, -1, 1504, 1608, 1344, -1,
 1504, 1344, 1056, -1, 1056, 1344, 1028, -1, 1056, 1028, 868, -1,
 868, 1028, 896, -1, 868, 896, 552, -1, 552, 896, 792, -1,
 552, 792, 476, -1, 476, 792, 660, -1, 476, 660, 372, -1,
 1240, 1112, 1084, -1, 2633, 2264, 2160, -1, 2160, 2264, 1944, -1,
 2160, 1944, 1608, -1, 1608, 1944, 1580, -1, 1608, 1580, 1344, -1,
 1344, 1580, 1476, -1, 1344, 1476, 1028, -1, 1028, 1476, 1316, -1,
 1028, 1316, 896, -1, 896, 1316, 1240, -1, 896, 1240, 792, -1,
 792, 1240, 1084, -1, 792, 1084, 688, -1, 2373, 2347, 1692, -1,
 1692, 2347, 1664, -1, 1692, 1664, 1636, -1, 2561, 2316, 2264, -1,
 2264, 2316, 2236, -1, 2264, 2236, 1944, -1, 1944, 2236, 2132, -1,
 1944, 2132, 1580, -1, 1580, 2132, 2000, -1, 1580, 2000, 1476, -1,
 1476, 2000, 1868, -1, 1476, 1868, 1316, -1, 1316, 1868, 1692, -1,
 1316, 1692, 1240, -1, 1240, 1692, 1636, -1, 1240, 1636, 1112, -1,
 2334, 2348, 1651, -1, 1651, 2348, 1665, -1, 1651, 1665, 1623, -1,
 1623, 1665, 1637, -1, 1623, 1637, 1099, -1, 1099, 1637, 1113, -1,
 1099, 1113, 1071, -1, 1071, 1113, 1085, -1, 1071, 1085, 675, -1,
 675, 1085, 689, -1, 675, 689, 647, -1, 647, 689, 661, -1,
 647, 661, 359, -1, 359, 661, 373, -1, 359, 373, 317, -1,
 317, 373, 331, -1, 317, 331, 119, -1, 119, 331, 133, -1,
 119, 133, 91, -1, 133, 105, 91, -1, 91, 105, 25, -1,
 91, 25, 11, -1, 4712, 2345, 4668, -1, 4668, 2345, 2371, -1,
 4668, 2371, 4678, -1, 4678, 2371, 2399, -1, 2399, 2427, 4678, -1,
 4678, 2427, 2458, -1, 4678, 2458, 2494, -1, 2494, 2519, 4678, -1,
 4678, 2519, 2539, -1, 4678, 2539, 4636, -1, 4636, 2539, 2559, -1,
 4636, 2559, 4646, -1, 4646, 2559, 2595, -1, 4646, 2595, 4604, -1,
 4604, 2595, 2631, -1, 4604, 2631, 4614, -1, 4614, 2631, 4570, -1,
 4570, 2631, 2651, -1, 4570, 2651, 4580, -1, 4580, 2651, 2687, -1,
 4580, 2687, 4539, -1, 4539, 2687, 2715, -1, 4539, 2715, 4540, -1,
 4540, 2715, 4441, -1, 4441, 2715, 2743, -1, 4441, 2743, 2778, -1,
 6749, 6748, 7070, -1, 6749, 7070, 7071, -1, 7071, 7070, 7187, -1,
 7071, 7187, 7188, -1, 7188, 7187, 7306, -1, 7188, 7306, 7307, -1,
 7307, 7306, 7425, -1, 7307, 7425, 7426, -1, 7426, 7425, 7557, -1,
 7426, 7557, 7558, -1, 7558, 7557, 7695, -1, 7558, 7695, 7696, -1,
 4698, 4712, 4987, -1, 4987, 4712, 5001, -1, 4987, 5001, 5310, -1,
 5310, 5001, 5324, -1, 5310, 5324, 5715, -1, 5715, 5324, 5729, -1,
 5715, 5729, 6135, -1, 6135, 5729, 6149, -1, 6135, 6149, 6537, -1,
 6537, 6149, 6551, -1, 6537, 6551, 6749, -1, 6749, 6551, 6763, -1,
 6850, 6849, 6422, -1, 6422, 6849, 6421, -1, 6422, 6421, 6004, -1,
 6004, 6421, 6003, -1, 6004, 6003, 5581, -1, 5581, 6003, 5580, -1,
 5581, 5580, 5187, -1, 5187, 5580, 5186, -1, 5187, 5186, 4858, -1,
 4858, 5186, 4857, -1, 4858, 4857, 4444, -1, 4444, 4857, 4443, -1,
 4714, 2347, 4670, -1, 4670, 2347, 2373, -1, 4670, 2373, 4680, -1,
 4680, 2373, 2401, -1, 2401, 2429, 4680, -1, 4680, 2429, 2460, -1,
 4680, 2460, 2496, -1, 2496, 2521, 4680, -1, 4680, 2521, 2541, -1,
 4680, 2541, 4638, -1, 4638, 2541, 2561, -1, 4638, 2561, 4648, -1,
 4648, 2561, 2597, -1, 4648, 2597, 4606, -1, 4606, 2597, 2633, -1,
 4606, 2633, 4616, -1, 4616, 2633, 4572, -1, 4572, 2633, 2653, -1,
 4572, 2653, 4582, -1, 4582, 2653, 2689, -1, 4582, 2689, 4543, -1,
 4543, 2689, 2717, -1, 4543, 2717, 4544, -1, 4544, 2717, 4443, -1,
 4443, 2717, 2745, -1, 4443, 2745, 2780, -1, 2347, 2333, 1664, -1,
 1664, 2333, 1650, -1, 1664, 1650, 1636, -1, 1636, 1650, 1622, -1,
 1636, 1622, 1112, -1, 1112, 1622, 1098, -1, 1112, 1098, 1084, -1,
 1084, 1098, 1070, -1, 1084, 1070, 688, -1, 688, 1070, 674, -1,
 688, 674, 660, -1, 660, 674, 646, -1, 660, 646, 372, -1,
 372, 646, 358, -1, 372, 358, 330, -1, 330, 358, 316, -1,
 330, 316, 132, -1, 132, 316, 118, -1, 132, 118, 104, -1,
 118, 90, 104, -1, 104, 90, 10, -1, 104, 10, 24, -1,
 2766, 2767, 1958, -1, 1958, 2767, 1959, -1, 1958, 1959, 1754, -1,
 1754, 1959, 1755, -1, 1754, 1755, 1406, -1, 1406, 1755, 1407, -1,
 1406, 1407, 1198, -1, 1198, 1407, 1199, -1, 1198, 1199, 910, -1,
 910, 1199, 911, -1, 910, 911, 750, -1, 750, 911, 751, -1,
 750, 751, 566, -1, 566, 751, 567, -1, 566, 567, 434, -1,
 434, 567, 435, -1, 434, 435, 274, -1, 274, 435, 275, -1,
 274, 275, 194, -1, 194, 275, 195, -1, 194, 195, 62, -1,
 62, 195, 63, -1, 62, 63, 10, -1, 10, 63, 11, -1,
 4698, 4987, 4724, -1, 4724, 4987, 5019, -1, 4724, 5019, 4735, -1,
 4735, 5019, 5044, -1, 4735, 5044, 4746, -1, 4746, 5044, 5071, -1,
 4746, 5071, 4759, -1, 4759, 5071, 5099, -1, 4759, 5099, 4770, -1,
 4770, 5099, 5155, -1, 4770, 5155, 4784, -1, 4784, 5155, 5369, -1,
 4987, 5310, 5019, -1, 5019, 5310, 5352, -1, 5019, 5352, 5044, -1,
 5044, 5352, 5401, -1, 5044, 5401, 5071, -1, 5071, 5401, 5495, -1,
 5071, 5495, 5099, -1, 5099, 5495, 5803, -1, 5099, 5803, 5155, -1,
 5155, 5803, 6189, -1, 5155, 6189, 5369, -1, 5369, 6189, 7050, -1,
 5310, 5715, 5352, -1, 5352, 5715, 5771, -1, 5352, 5771, 5401, -1,
 5401, 5771, 5910, -1, 5401, 5910, 5495, -1, 5495, 5910, 6311, -1,
 5495, 6311, 5803, -1, 5803, 6311, 7123, -1, 5803, 7123, 6189, -1,
 6189, 7123, 7259, -1, 6189, 7259, 7050, -1, 7050, 7259, 7387, -1,
 5715, 6135, 5771, -1, 5771, 6135, 6206, -1, 5771, 6206, 5910, -1,
 5910, 6206, 6617, -1, 5910, 6617, 6311, -1, 6311, 6617, 7169, -1,
 6311, 7169, 7123, -1, 7123, 7169, 7337, -1, 7123, 7337, 7259, -1,
 7259, 7337, 7458, -1, 7259, 7458, 7387, -1, 7387, 7458, 7540, -1,
 6135, 6537, 6206, -1, 6206, 6537, 6715, -1, 6206, 6715, 6617, -1,
 6617, 6715, 7145, -1, 6617, 7145, 7169, -1, 7169, 7145, 7280, -1,
 7169, 7280, 7337, -1, 7337, 7280, 7402, -1, 7337, 7402, 7458, -1,
 7458, 7402, 7519, -1, 7458, 7519, 7540, -1, 7540, 7519, 7654, -1,
 6537, 6749, 6715, -1, 6715, 6749, 7071, -1, 6715, 7071, 7145, -1,
 7145, 7071, 7188, -1, 7145, 7188, 7280, -1, 7280, 7188, 7307, -1,
 7280, 7307, 7402, -1, 7402, 7307, 7426, -1, 7402, 7426, 7519, -1,
 7519, 7426, 7558, -1, 7519, 7558, 7654, -1, 7654, 7558, 7696, -1,
 102, 22, 74, -1, 2314, 2494, 2234, -1, 2234, 2494, 2458, -1,
 2234, 2458, 2130, -1, 2130, 2458, 2427, -1, 2130, 2427, 1998, -1,
 1998, 2427, 2399, -1, 1998, 2399, 1866, -1, 1866, 2399, 2371, -1,
 1866, 2371, 1690, -1, 2559, 2539, 2314, -1, 2314, 2539, 2519, -1,
 2314, 2519, 2494, -1, 2631, 2595, 2262, -1, 2262, 2595, 2559, -1,
 2158, 2651, 2631, -1, 2715, 2687, 2054, -1, 2054, 2687, 2651, -1,
 2026, 2743, 2715, -1, 234, 130, 102, -1, 102, 74, 234, -1,
 234, 74, 206, -1, 234, 206, 342, -1, 206, 286, 342, -1,
 342, 286, 446, -1, 342, 446, 606, -1, 446, 578, 606, -1,
 606, 578, 762, -1, 606, 762, 998, -1, 762, 922, 998, -1,
 998, 922, 1210, -1, 998, 1210, 1446, -1, 2778, 2743, 1970, -1,
 1970, 2743, 2026, -1, 1970, 2026, 1766, -1, 1766, 2026, 1446, -1,
 1766, 1446, 1418, -1, 1418, 1446, 1210, -1, 474, 370, 328, -1,
 2715, 2054, 2026, -1, 2026, 2054, 1502, -1, 2026, 1502, 1446, -1,
 1446, 1502, 1054, -1, 1446, 1054, 998, -1, 998, 1054, 866, -1,
 998, 866, 606, -1, 606, 866, 550, -1, 606, 550, 342, -1,
 342, 550, 474, -1, 342, 474, 234, -1, 234, 474, 328, -1,
 234, 328, 130, -1, 790, 686, 658, -1, 2651, 2158, 2054, -1,
 2054, 2158, 1606, -1, 2054, 1606, 1502, -1, 1502, 1606, 1342, -1,
 1502, 1342, 1054, -1, 1054, 1342, 1026, -1, 1054, 1026, 866, -1,
 866, 1026, 894, -1, 866, 894, 550, -1, 550, 894, 790, -1,
 550, 790, 474, -1, 474, 790, 658, -1, 474, 658, 370, -1,
 1238, 1110, 1082, -1, 2631, 2262, 2158, -1, 2158, 2262, 1942, -1,
 2158, 1942, 1606, -1, 1606, 1942, 1578, -1, 1606, 1578, 1342, -1,
 1342, 1578, 1474, -1, 1342, 1474, 1026, -1, 1026, 1474, 1314, -1,
 1026, 1314, 894, -1, 894, 1314, 1238, -1, 894, 1238, 790, -1,
 790, 1238, 1082, -1, 790, 1082, 686, -1, 2371, 2345, 1690, -1,
 1690, 2345, 1662, -1, 1690, 1662, 1634, -1, 2559, 2314, 2262, -1,
 2262, 2314, 2234, -1, 2262, 2234, 1942, -1, 1942, 2234, 2130, -1,
 1942, 2130, 1578, -1, 1578, 2130, 1998, -1, 1578, 1998, 1474, -1,
 1474, 1998, 1866, -1, 1474, 1866, 1314, -1, 1314, 1866, 1690, -1,
 1314, 1690, 1238, -1, 1238, 1690, 1634, -1, 1238, 1634, 1110, -1,
 4923, 4899, 5230, -1, 5001, 4712, 4668, -1, 6777, 6763, 6565, -1,
 6565, 6763, 6551, -1, 4668, 4678, 4957, -1, 6791, 6777, 6521, -1,
 6521, 6777, 6565, -1, 6521, 6565, 6121, -1, 6121, 6565, 6551, -1,
 6121, 6551, 6149, -1, 4636, 4646, 4941, -1, 6805, 6791, 6505, -1,
 6505, 6791, 6521, -1, 6505, 6521, 6105, -1, 6105, 6521, 6121, -1,
 6105, 6121, 5701, -1, 5701, 6121, 6149, -1, 5701, 6149, 5729, -1,
 4604, 4614, 4923, -1, 6819, 6805, 6489, -1, 6489, 6805, 6505, -1,
 6489, 6505, 6089, -1, 6089, 6505, 6105, -1, 6089, 6105, 5685, -1,
 5685, 6105, 5701, -1, 5685, 5701, 5296, -1, 5296, 5701, 5729, -1,
 5296, 5729, 5324, -1, 4614, 4570, 4923, -1, 4923, 4570, 4580, -1,
 4923, 4580, 4899, -1, 4646, 4604, 4941, -1, 4941, 4604, 4923, -1,
 4941, 4923, 5246, -1, 5246, 4923, 5230, -1, 5246, 5230, 5637, -1,
 4678, 4636, 4957, -1, 4957, 4636, 4941, -1, 4957, 4941, 5262, -1,
 5262, 4941, 5246, -1, 5262, 5246, 5653, -1, 5653, 5246, 5637, -1,
 5653, 5637, 6057, -1, 5001, 4668, 4973, -1, 4973, 4668, 4957, -1,
 4973, 4957, 5280, -1, 5280, 4957, 5262, -1, 5280, 5262, 5669, -1,
 5669, 5262, 5653, -1, 5669, 5653, 6073, -1, 6073, 5653, 6057, -1,
 6073, 6057, 6473, -1, 6833, 6819, 6473, -1, 6473, 6819, 6489, -1,
 6473, 6489, 6073, -1, 6073, 6489, 6089, -1, 6073, 6089, 5669, -1,
 5669, 6089, 5685, -1, 5669, 5685, 5280, -1, 5280, 5685, 5296, -1,
 5280, 5296, 4973, -1, 4973, 5296, 5324, -1, 4973, 5324, 5001, -1,
 4540, 4441, 4855, -1, 4540, 4855, 4539, -1, 6847, 6833, 6419, -1,
 6419, 6833, 6473, -1, 6419, 6473, 6001, -1, 6001, 6473, 6057, -1,
 6001, 6057, 5578, -1, 5578, 6057, 5637, -1, 5578, 5637, 5184, -1,
 5184, 5637, 5230, -1, 5184, 5230, 4855, -1, 4855, 5230, 4899, -1,
 4855, 4899, 4539, -1, 4539, 4899, 4580, -1, 4925, 4901, 5232, -1,
 4975, 5003, 4670, -1, 4670, 5003, 4714, -1, 6779, 6765, 6567, -1,
 6567, 6765, 6553, -1, 6793, 6779, 6523, -1, 6523, 6779, 6567, -1,
 6523, 6567, 6123, -1, 6123, 6567, 6553, -1, 6123, 6553, 6151, -1,
 4638, 4648, 4943, -1, 6807, 6793, 6507, -1, 6507, 6793, 6523, -1,
 6507, 6523, 6107, -1, 6107, 6523, 6123, -1, 6107, 6123, 5703, -1,
 5703, 6123, 6151, -1, 5703, 6151, 5731, -1, 4606, 4616, 4925, -1,
 6821, 6807, 6491, -1, 6491, 6807, 6507, -1, 6491, 6507, 6091, -1,
 6091, 6507, 6107, -1, 6091, 6107, 5687, -1, 5687, 6107, 5703, -1,
 5687, 5703, 5298, -1, 5298, 5703, 5731, -1, 5298, 5731, 5326, -1,
 4616, 4572, 4925, -1, 4925, 4572, 4582, -1, 4925, 4582, 4901, -1,
 4648, 4606, 4943, -1, 4943, 4606, 4925, -1, 4943, 4925, 5248, -1,
 5248, 4925, 5232, -1, 5248, 5232, 5639, -1, 4680, 4638, 4959, -1,
 4959, 4638, 4943, -1, 4959, 4943, 5264, -1, 5264, 4943, 5248, -1,
 5264, 5248, 5655, -1, 5655, 5248, 5639, -1, 5655, 5639, 6059, -1,
 4670, 4680, 4975, -1, 4975, 4680, 4959, -1, 4975, 4959, 5282, -1,
 5282, 4959, 5264, -1, 5282, 5264, 5671, -1, 5671, 5264, 5655, -1,
 5671, 5655, 6075, -1, 6075, 5655, 6059, -1, 6075, 6059, 6475, -1,
 6835, 6821, 6475, -1, 6475, 6821, 6491, -1, 6475, 6491, 6075, -1,
 6075, 6491, 6091, -1, 6075, 6091, 5671, -1, 5671, 6091, 5687, -1,
 5671, 5687, 5282, -1, 5282, 5687, 5298, -1, 5282, 5298, 4975, -1,
 4975, 5298, 5326, -1, 4975, 5326, 5003, -1, 4544, 4443, 4857, -1,
 4544, 4857, 4543, -1, 6849, 6835, 6421, -1, 6421, 6835, 6475, -1,
 6421, 6475, 6003, -1, 6003, 6475, 6059, -1, 6003, 6059, 5580, -1,
 5580, 6059, 5639, -1, 5580, 5639, 5186, -1, 5186, 5639, 5232, -1,
 5186, 5232, 4857, -1, 4857, 5232, 4901, -1, 4857, 4901, 4543, -1,
 4543, 4901, 4582, -1, 2708, 2728, 2014, -1, 2014, 2728, 2766, -1,
 2624, 2644, 2146, -1, 2146, 2644, 2680, -1, 2250, 2588, 2624, -1,
 2532, 2552, 2302, -1, 2302, 2552, 2588, -1, 2532, 2302, 2512, -1,
 2512, 2302, 2222, -1, 2512, 2222, 2487, -1, 2487, 2222, 2118, -1,
 2487, 2118, 2451, -1, 2451, 2118, 1986, -1, 2451, 1986, 2420, -1,
 2420, 1986, 1854, -1, 2420, 1854, 2384, -1, 2384, 1854, 1678, -1,
 2384, 1678, 2359, -1, 2359, 1678, 1650, -1, 2359, 1650, 2333, -1,
 2766, 1958, 2014, -1, 2014, 1958, 1754, -1, 2014, 1754, 1434, -1,
 1754, 1406, 1434, -1, 1434, 1406, 1198, -1, 1434, 1198, 986, -1,
 1198, 910, 986, -1, 986, 910, 750, -1, 986, 750, 594, -1,
 750, 566, 594, -1, 594, 566, 434, -1, 594, 434, 302, -1,
 10, 90, 62, -1, 62, 90, 222, -1, 62, 222, 194, -1,
 194, 222, 302, -1, 194, 302, 274, -1, 274, 302, 434, -1,
 2708, 2014, 2042, -1, 2042, 2014, 1434, -1, 2042, 1434, 1490, -1,
 1490, 1434, 986, -1, 1490, 986, 1042, -1, 1042, 986, 594, -1,
 1042, 594, 854, -1, 854, 594, 302, -1, 854, 302, 538, -1,
 538, 302, 222, -1, 538, 222, 462, -1, 90, 118, 222, -1,
 222, 118, 316, -1, 222, 316, 462, -1, 462, 316, 358, -1,
 462, 358, 646, -1, 646, 778, 462, -1, 462, 778, 882, -1,
 462, 882, 538, -1, 538, 882, 1014, -1, 538, 1014, 854, -1,
 854, 1014, 1330, -1, 854, 1330, 1042, -1, 1042, 1330, 1594, -1,
 1042, 1594, 1490, -1, 1490, 1594, 2146, -1, 1490, 2146, 2042, -1,
 2042, 2146, 2680, -1, 2042, 2680, 2708, -1, 2624, 2146, 2250, -1,
 2250, 2146, 1594, -1, 2250, 1594, 1930, -1, 1930, 1594, 1330, -1,
 1930, 1330, 1566, -1, 1566, 1330, 1014, -1, 1566, 1014, 1462, -1,
 1462, 1014, 882, -1, 1462, 882, 1302, -1, 1302, 882, 778, -1,
 1302, 778, 1226, -1, 646, 674, 778, -1, 778, 674, 1070, -1,
 778, 1070, 1226, -1, 1226, 1070, 1098, -1, 1226, 1098, 1622, -1,
 2588, 2250, 2302, -1, 2302, 2250, 1930, -1, 2302, 1930, 2222, -1,
 2222, 1930, 1566, -1, 2222, 1566, 2118, -1, 2118, 1566, 1462, -1,
 2118, 1462, 1986, -1, 1986, 1462, 1302, -1, 1986, 1302, 1854, -1,
 1854, 1302, 1226, -1, 1854, 1226, 1678, -1, 1678, 1226, 1622, -1,
 1678, 1622, 1650, -1, 2510, 2485, 4698, -1, 4698, 2485, 2449, -1,
 4698, 2449, 2418, -1, 2418, 2382, 4698, -1, 4698, 2382, 2357, -1,
 4698, 2357, 2331, -1, 2510, 4698, 2530, -1, 2530, 4698, 4724, -1,
 2530, 4724, 2550, -1, 2550, 4724, 4735, -1, 2550, 4735, 2586, -1,
 2586, 4735, 4746, -1, 2586, 4746, 2622, -1, 2622, 4746, 2642, -1,
 2642, 4746, 4759, -1, 2642, 4759, 2678, -1, 2678, 4759, 4770, -1,
 2678, 4770, 2706, -1, 2976, 2764, 2726, -1, 4784, 2976, 4770, -1,
 4770, 2976, 2726, -1, 4770, 2726, 2706, -1, 2345, 2331, 1662, -1,
 1662, 2331, 1648, -1, 1662, 1648, 1634, -1, 1634, 1648, 1620, -1,
 1634, 1620, 1110, -1, 1110, 1620, 1096, -1, 1110, 1096, 1082, -1,
 1082, 1096, 1068, -1, 1082, 1068, 686, -1, 686, 1068, 672, -1,
 686, 672, 658, -1, 658, 672, 644, -1, 658, 644, 370, -1,
 370, 644, 356, -1, 370, 356, 328, -1, 328, 356, 314, -1,
 328, 314, 130, -1, 130, 314, 116, -1, 130, 116, 102, -1,
 116, 88, 102, -1, 102, 88, 8, -1, 102, 8, 22, -1,
 22, 23, 74, -1, 74, 23, 75, -1, 74, 75, 206, -1,
 206, 75, 207, -1, 206, 207, 286, -1, 286, 207, 287, -1,
 286, 287, 446, -1, 446, 287, 447, -1, 446, 447, 578, -1,
 578, 447, 579, -1, 578, 579, 762, -1, 762, 579, 763, -1,
 762, 763, 922, -1, 922, 763, 923, -1, 922, 923, 1210, -1,
 1210, 923, 1211, -1, 1210, 1211, 1418, -1, 1418, 1211, 1419, -1,
 1418, 1419, 1766, -1, 1766, 1419, 1767, -1, 1766, 1767, 1970, -1,
 1970, 1767, 1971, -1, 1970, 1971, 2778, -1, 2778, 1971, 2779, -1,
 4442, 2779, 2744, -1, 4442, 2744, 4541, -1, 4541, 2744, 2716, -1,
 4541, 2716, 4542, -1, 4542, 2716, 2688, -1, 4542, 2688, 4581, -1,
 4581, 2688, 4571, -1, 4571, 2688, 2652, -1, 4571, 2652, 4615, -1,
 4615, 2652, 2632, -1, 4615, 2632, 4605, -1, 4605, 2632, 2596, -1,
 4605, 2596, 4647, -1, 4647, 2596, 4637, -1, 4637, 2596, 2560, -1,
 4637, 2560, 4679, -1, 4679, 2560, 2540, -1, 4679, 2540, 4669, -1,
 4669, 2540, 2520, -1, 4669, 2520, 4713, -1, 2520, 2495, 4713, -1,
 4713, 2495, 2459, -1, 4713, 2459, 2428, -1, 2428, 2400, 4713, -1,
 4713, 2400, 2372, -1, 4713, 2372, 2346, -1, 6848, 6847, 6420, -1,
 6420, 6847, 6419, -1, 6420, 6419, 6002, -1, 6002, 6419, 6001, -1,
 6002, 6001, 5579, -1, 5579, 6001, 5578, -1, 5579, 5578, 5185, -1,
 5185, 5578, 5184, -1, 5185, 5184, 4856, -1, 4856, 5184, 4855, -1,
 4856, 4855, 4442, -1, 4442, 4855, 4441, -1, 4700, 4714, 4989, -1,
 4989, 4714, 5003, -1, 4989, 5003, 5312, -1, 5312, 5003, 5326, -1,
 5312, 5326, 5717, -1, 5717, 5326, 5731, -1, 5717, 5731, 6137, -1,
 6137, 5731, 6151, -1, 6137, 6151, 6539, -1, 6539, 6151, 6553, -1,
 6539, 6553, 6751, -1, 6751, 6553, 6765, -1, 2512, 2487, 4700, -1,
 4700, 2487, 2451, -1, 4700, 2451, 2420, -1, 2420, 2384, 4700, -1,
 4700, 2384, 2359, -1, 4700, 2359, 2333, -1, 2512, 4700, 2532, -1,
 2532, 4700, 4726, -1, 2532, 4726, 2552, -1, 2552, 4726, 4737, -1,
 2552, 4737, 2588, -1, 2588, 4737, 4748, -1, 2588, 4748, 2624, -1,
 2624, 4748, 2644, -1, 2644, 4748, 4761, -1, 2644, 4761, 2680, -1,
 2680, 4761, 4772, -1, 2680, 4772, 2708, -1, 2978, 2766, 2728, -1,
 4786, 2978, 4772, -1, 4772, 2978, 2728, -1, 4772, 2728, 2708, -1,
 2706, 2726, 2012, -1, 2012, 2726, 2764, -1, 2622, 2642, 2144, -1,
 2144, 2642, 2678, -1, 2248, 2586, 2622, -1, 2530, 2550, 2300, -1,
 2300, 2550, 2586, -1, 2530, 2300, 2510, -1, 2510, 2300, 2220, -1,
 2510, 2220, 2485, -1, 2485, 2220, 2116, -1, 2485, 2116, 2449, -1,
 2449, 2116, 1984, -1, 2449, 1984, 2418, -1, 2418, 1984, 1852, -1,
 2418, 1852, 2382, -1, 2382, 1852, 1676, -1, 2382, 1676, 2357, -1,
 2357, 1676, 1648, -1, 2357, 1648, 2331, -1, 2764, 1956, 2012, -1,
 2012, 1956, 1752, -1, 2012, 1752, 1432, -1, 1752, 1404, 1432, -1,
 1432, 1404, 1196, -1, 1432, 1196, 984, -1, 1196, 908, 984, -1,
 984, 908, 748, -1, 984, 748, 592, -1, 748, 564, 592, -1,
 592, 564, 432, -1, 592, 432, 300, -1, 8, 88, 60, -1,
 60, 88, 220, -1, 60, 220, 192, -1, 192, 220, 300, -1,
 192, 300, 272, -1, 272, 300, 432, -1, 2706, 2012, 2040, -1,
 2040, 2012, 1432, -1, 2040, 1432, 1488, -1, 1488, 1432, 984, -1,
 1488, 984, 1040, -1, 1040, 984, 592, -1, 1040, 592, 852, -1,
 852, 592, 300, -1, 852, 300, 536, -1, 536, 300, 220, -1,
 536, 220, 460, -1, 88, 116, 220, -1, 220, 116, 314, -1,
 220, 314, 460, -1, 460, 314, 356, -1, 460, 356, 644, -1,
 644, 776, 460, -1, 460, 776, 880, -1, 460, 880, 536, -1,
 536, 880, 1012, -1, 536, 1012, 852, -1, 852, 1012, 1328, -1,
 852, 1328, 1040, -1, 1040, 1328, 1592, -1, 1040, 1592, 1488, -1,
 1488, 1592, 2144, -1, 1488, 2144, 2040, -1, 2040, 2144, 2678, -1,
 2040, 2678, 2706, -1, 2622, 2144, 2248, -1, 2248, 2144, 1592, -1,
 2248, 1592, 1928, -1, 1928, 1592, 1328, -1, 1928, 1328, 1564, -1,
 1564, 1328, 1012, -1, 1564, 1012, 1460, -1, 1460, 1012, 880, -1,
 1460, 880, 1300, -1, 1300, 880, 776, -1, 1300, 776, 1224, -1,
 644, 672, 776, -1, 776, 672, 1068, -1, 776, 1068, 1224, -1,
 1224, 1068, 1096, -1, 1224, 1096, 1620, -1, 2586, 2248, 2300, -1,
 2300, 2248, 1928, -1, 2300, 1928, 2220, -1, 2220, 1928, 1564, -1,
 2220, 1564, 2116, -1, 2116, 1564, 1460, -1, 2116, 1460, 1984, -1,
 1984, 1460, 1300, -1, 1984, 1300, 1852, -1, 1852, 1300, 1224, -1,
 1852, 1224, 1676, -1, 1676, 1224, 1620, -1, 1676, 1620, 1648, -1,
 1767, 1419, 1447, -1, 1211, 923, 999, -1, 763, 579, 607, -1,
 447, 287, 343, -1, 207, 75, 235, -1, 2779, 1971, 2027, -1,
 2159, 2688, 2055, -1, 2055, 2688, 2716, -1, 2055, 2716, 2027, -1,
 2027, 2716, 2744, -1, 2027, 2744, 2779, -1, 2315, 2596, 2263, -1,
 2263, 2596, 2632, -1, 2263, 2632, 2159, -1, 2159, 2632, 2652, -1,
 2159, 2652, 2688, -1, 2520, 2540, 2315, -1, 2315, 2540, 2560, -1,
 2315, 2560, 2596, -1, 2346, 2372, 1663, -1, 1663, 2372, 1691, -1,
 1663, 1691, 1635, -1, 1635, 1691, 1239, -1, 1635, 1239, 1111, -1,
 1111, 1239, 1083, -1, 1083, 1239, 791, -1, 1083, 791, 687, -1,
 687, 791, 659, -1, 659, 791, 475, -1, 659, 475, 371, -1,
 371, 475, 329, -1, 329, 475, 235, -1, 329, 235, 131, -1,
 131, 235, 103, -1, 103, 235, 75, -1, 103, 75, 23, -1,
 287, 207, 343, -1, 343, 207, 235, -1, 343, 235, 551, -1,
 551, 235, 475, -1, 551, 475, 895, -1, 895, 475, 791, -1,
 895, 791, 1315, -1, 1315, 791, 1239, -1, 1315, 1239, 1867, -1,
 1867, 1239, 1691, -1, 1867, 1691, 2400, -1, 2400, 1691, 2372, -1,
 579, 447, 607, -1, 607, 447, 343, -1, 607, 343, 867, -1,
 867, 343, 551, -1, 867, 551, 1027, -1, 1027, 551, 895, -1,
 1027, 895, 1475, -1, 1475, 895, 1315, -1, 1475, 1315, 1999, -1,
 1999, 1315, 1867, -1, 1999, 1867, 2428, -1, 2428, 1867, 2400, -1,
 923, 763, 999, -1, 999, 763, 607, -1, 999, 607, 1055, -1,
 1055, 607, 867, -1, 1055, 867, 1343, -1, 1343, 867, 1027, -1,
 1343, 1027, 1579, -1, 1579, 1027, 1475, -1, 1579, 1475, 2131, -1,
 2131, 1475, 1999, -1, 2131, 1999, 2459, -1, 2459, 1999, 2428, -1,
 1419, 1211, 1447, -1, 1447, 1211, 999, -1, 1447, 999, 1503, -1,
 1503, 999, 1055, -1, 1503, 1055, 1607, -1, 1607, 1055, 1343, -1,
 1607, 1343, 1943, -1, 1943, 1343, 1579, -1, 1943, 1579, 2235, -1,
 2235, 1579, 2131, -1, 2235, 2131, 2495, -1, 2495, 2131, 2459, -1,
 1971, 1767, 2027, -1, 2027, 1767, 1447, -1, 2027, 1447, 2055, -1,
 2055, 1447, 1503, -1, 2055, 1503, 2159, -1, 2159, 1503, 1607, -1,
 2159, 1607, 2263, -1, 2263, 1607, 1943, -1, 2263, 1943, 2315, -1,
 2315, 1943, 2235, -1, 2315, 2235, 2520, -1, 2520, 2235, 2495, -1,
 6566, 6778, 6792, -1, 4679, 4669, 4974, -1, 4942, 4958, 5281, -1,
 4581, 4571, 4924, -1, 4900, 4856, 4442, -1, 4856, 4900, 5185, -1,
 5185, 4900, 5231, -1, 5185, 5231, 5579, -1, 5579, 5231, 5638, -1,
 5579, 5638, 6002, -1, 6002, 5638, 6058, -1, 6002, 6058, 6420, -1,
 6420, 6058, 6474, -1, 6420, 6474, 6848, -1, 4442, 4541, 4900, -1,
 4900, 4541, 4542, -1, 4900, 4542, 4581, -1, 4581, 4924, 4900, -1,
 4900, 4924, 5247, -1, 4900, 5247, 5231, -1, 5231, 5247, 5654, -1,
 5231, 5654, 5638, -1, 5638, 5654, 6074, -1, 5638, 6074, 6058, -1,
 6058, 6074, 6490, -1, 6058, 6490, 6474, -1, 6474, 6490, 6834, -1,
 6474, 6834, 6848, -1, 4571, 4615, 4942, -1, 4571, 4942, 4924, -1,
 4924, 4942, 5263, -1, 4924, 5263, 5247, -1, 5247, 5263, 5670, -1,
 5247, 5670, 5654, -1, 5654, 5670, 6090, -1, 5654, 6090, 6074, -1,
 6074, 6090, 6506, -1, 6074, 6506, 6490, -1, 6490, 6506, 6820, -1,
 6490, 6820, 6834, -1, 4942, 5281, 5263, -1, 5263, 5281, 5686, -1,
 5263, 5686, 5670, -1, 5670, 5686, 6106, -1, 5670, 6106, 6090, -1,
 6090, 6106, 6522, -1, 6090, 6522, 6506, -1, 6506, 6522, 6806, -1,
 6506, 6806, 6820, -1, 4615, 4605, 4942, -1, 4942, 4605, 4647, -1,
 4942, 4647, 4958, -1, 4958, 4647, 4637, -1, 4958, 4637, 4679, -1,
 4679, 4974, 4958, -1, 4958, 4974, 5297, -1, 4958, 5297, 5281, -1,
 5281, 5297, 5702, -1, 5281, 5702, 5686, -1, 5686, 5702, 6122, -1,
 5686, 6122, 6106, -1, 6106, 6122, 6566, -1, 6106, 6566, 6522, -1,
 6522, 6566, 6792, -1, 6522, 6792, 6806, -1, 6764, 6778, 6552, -1,
 6552, 6778, 6566, -1, 6552, 6566, 6150, -1, 6150, 6566, 6122, -1,
 6150, 6122, 5730, -1, 5730, 6122, 5702, -1, 5730, 5702, 5325, -1,
 5325, 5702, 5297, -1, 5325, 5297, 5002, -1, 5002, 5297, 4974, -1,
 5002, 4974, 4713, -1, 4713, 4974, 4669, -1, 4700, 4989, 4726, -1,
 4726, 4989, 5021, -1, 4726, 5021, 4737, -1, 4737, 5021, 5046, -1,
 4737, 5046, 4748, -1, 4748, 5046, 5073, -1, 4748, 5073, 4761, -1,
 4761, 5073, 5101, -1, 4761, 5101, 4772, -1, 4772, 5101, 5157, -1,
 4772, 5157, 4786, -1, 4786, 5157, 5371, -1, 4989, 5312, 5021, -1,
 5021, 5312, 5354, -1, 5021, 5354, 5046, -1, 5046, 5354, 5403, -1,
 5046, 5403, 5073, -1, 5073, 5403, 5497, -1, 5073, 5497, 5101, -1,
 5101, 5497, 5805, -1, 5101, 5805, 5157, -1, 5157, 5805, 6191, -1,
 5157, 6191, 5371, -1, 5371, 6191, 7052, -1, 5312, 5717, 5354, -1,
 5354, 5717, 5773, -1, 5354, 5773, 5403, -1, 5403, 5773, 5912, -1,
 5403, 5912, 5497, -1, 5497, 5912, 6313, -1, 5497, 6313, 5805, -1,
 5805, 6313, 7125, -1, 5805, 7125, 6191, -1, 6191, 7125, 7261, -1,
 6191, 7261, 7052, -1, 7052, 7261, 7389, -1, 5717, 6137, 5773, -1,
 5773, 6137, 6208, -1, 5773, 6208, 5912, -1, 5912, 6208, 6619, -1,
 5912, 6619, 6313, -1, 6313, 6619, 7171, -1, 6313, 7171, 7125, -1,
 7125, 7171, 7339, -1, 7125, 7339, 7261, -1, 7261, 7339, 7460, -1,
 7261, 7460, 7389, -1, 7389, 7460, 7542, -1, 6137, 6539, 6208, -1,
 6208, 6539, 6717, -1, 6208, 6717, 6619, -1, 6619, 6717, 7147, -1,
 6619, 7147, 7171, -1, 7171, 7147, 7282, -1, 7171, 7282, 7339, -1,
 7339, 7282, 7404, -1, 7339, 7404, 7460, -1, 7460, 7404, 7521, -1,
 7460, 7521, 7542, -1, 7542, 7521, 7656, -1, 6539, 6751, 6717, -1,
 6717, 6751, 7073, -1, 6717, 7073, 7147, -1, 7147, 7073, 7190, -1,
 7147, 7190, 7282, -1, 7282, 7190, 7309, -1, 7282, 7309, 7404, -1,
 7404, 7309, 7428, -1, 7404, 7428, 7521, -1, 7521, 7428, 7560, -1,
 7521, 7560, 7656, -1, 7656, 7560, 7698, -1, 2764, 2765, 1956, -1,
 1956, 2765, 1957, -1, 1956, 1957, 1752, -1, 1752, 1957, 1753, -1,
 1752, 1753, 1404, -1, 1404, 1753, 1405, -1, 1404, 1405, 1196, -1,
 1196, 1405, 1197, -1, 1196, 1197, 908, -1, 908, 1197, 909, -1,
 908, 909, 748, -1, 748, 909, 749, -1, 748, 749, 564, -1,
 564, 749, 565, -1, 564, 565, 432, -1, 432, 565, 433, -1,
 432, 433, 272, -1, 272, 433, 273, -1, 272, 273, 192, -1,
 192, 273, 193, -1, 192, 193, 60, -1, 60, 193, 61, -1,
 60, 61, 8, -1, 8, 61, 9, -1, 2332, 2346, 1649, -1,
 1649, 2346, 1663, -1, 1649, 1663, 1621, -1, 1621, 1663, 1635, -1,
 1621, 1635, 1097, -1, 1097, 1635, 1111, -1, 1097, 1111, 1069, -1,
 1069, 1111, 1083, -1, 1069, 1083, 673, -1, 673, 1083, 687, -1,
 673, 687, 645, -1, 645, 687, 659, -1, 645, 659, 357, -1,
 357, 659, 371, -1, 357, 371, 315, -1, 315, 371, 329, -1,
 315, 329, 117, -1, 117, 329, 131, -1, 117, 131, 89, -1,
 131, 103, 89, -1, 89, 103, 23, -1, 89, 23, 9, -1,
 4713, 4699, 5002, -1, 5002, 4699, 4988, -1, 5002, 4988, 5325, -1,
 5325, 4988, 5311, -1, 5325, 5311, 5730, -1, 5730, 5311, 5716, -1,
 5730, 5716, 6150, -1, 6150, 5716, 6136, -1, 6150, 6136, 6552, -1,
 6552, 6136, 6538, -1, 6552, 6538, 6764, -1, 6764, 6538, 6750, -1,
 6751, 6750, 7072, -1, 6751, 7072, 7073, -1, 7073, 7072, 7189, -1,
 7073, 7189, 7190, -1, 7190, 7189, 7308, -1, 7190, 7308, 7309, -1,
 7309, 7308, 7427, -1, 7309, 7427, 7428, -1, 7428, 7427, 7559, -1,
 7428, 7559, 7560, -1, 7560, 7559, 7697, -1, 7560, 7697, 7698, -1,
 433, 565, 593, -1, 749, 909, 985, -1, 1197, 1405, 1433, -1,
 1753, 1957, 2013, -1, 2531, 2511, 2301, -1, 1677, 2358, 2332, -1,
 2531, 2301, 2551, -1, 2551, 2301, 2249, -1, 2551, 2249, 2587, -1,
 2587, 2249, 2623, -1, 2623, 2249, 2145, -1, 2623, 2145, 2643, -1,
 2643, 2145, 2041, -1, 2643, 2041, 2679, -1, 2679, 2041, 2707, -1,
 2707, 2041, 2013, -1, 2707, 2013, 2727, -1, 2727, 2013, 1957, -1,
 2727, 1957, 2765, -1, 2332, 1649, 1677, -1, 1677, 1649, 1621, -1,
 1677, 1621, 1225, -1, 1621, 1097, 1225, -1, 1225, 1097, 1069, -1,
 1225, 1069, 777, -1, 1069, 673, 777, -1, 777, 673, 645, -1,
 777, 645, 461, -1, 2383, 2358, 1853, -1, 1853, 2358, 1677, -1,
 1853, 1677, 1301, -1, 1301, 1677, 1225, -1, 1301, 1225, 881, -1,
 881, 1225, 777, -1, 881, 777, 537, -1, 537, 777, 461, -1,
 537, 461, 301, -1, 301, 461, 221, -1, 1405, 1753, 1433, -1,
 1433, 1753, 2013, -1, 1433, 2013, 1489, -1, 1489, 2013, 2041, -1,
 1489, 2041, 1593, -1, 1593, 2041, 2145, -1, 1593, 2145, 1929, -1,
 1929, 2145, 2249, -1, 1929, 2249, 2221, -1, 2221, 2249, 2301, -1,
 2221, 2301, 2486, -1, 2486, 2301, 2511, -1, 909, 1197, 985, -1,
 985, 1197, 1433, -1, 985, 1433, 1041, -1, 1041, 1433, 1489, -1,
 1041, 1489, 1329, -1, 1329, 1489, 1593, -1, 1329, 1593, 1565, -1,
 1565, 1593, 1929, -1, 1565, 1929, 2117, -1, 2117, 1929, 2221, -1,
 2117, 2221, 2450, -1, 2450, 2221, 2486, -1, 565, 749, 593, -1,
 593, 749, 985, -1, 593, 985, 853, -1, 853, 985, 1041, -1,
 853, 1041, 1013, -1, 1013, 1041, 1329, -1, 1013, 1329, 1461, -1,
 1461, 1329, 1565, -1, 1461, 1565, 1985, -1, 1985, 1565, 2117, -1,
 1985, 2117, 2419, -1, 2419, 2117, 2450, -1, 273, 433, 301, -1,
 301, 433, 593, -1, 301, 593, 537, -1, 537, 593, 853, -1,
 537, 853, 881, -1, 881, 853, 1013, -1, 881, 1013, 1301, -1,
 1301, 1013, 1461, -1, 1301, 1461, 1853, -1, 1853, 1461, 1985, -1,
 1853, 1985, 2383, -1, 2383, 1985, 2419, -1, 645, 357, 461, -1,
 461, 357, 315, -1, 461, 315, 221, -1, 221, 315, 117, -1,
 221, 117, 89, -1, 273, 301, 193, -1, 193, 301, 221, -1,
 193, 221, 61, -1, 61, 221, 89, -1, 61, 89, 9, -1,
 6750, 6538, 7072, -1, 7072, 6538, 6716, -1, 7072, 6716, 7189, -1,
 7189, 6716, 7146, -1, 7189, 7146, 7308, -1, 7308, 7146, 7281, -1,
 7308, 7281, 7427, -1, 7427, 7281, 7403, -1, 7427, 7403, 7559, -1,
 7559, 7403, 7520, -1, 7559, 7520, 7697, -1, 7697, 7520, 7655, -1,
 6538, 6136, 6716, -1, 6716, 6136, 6207, -1, 6716, 6207, 7146, -1,
 7146, 6207, 6618, -1, 7146, 6618, 7281, -1, 7281, 6618, 7170, -1,
 7281, 7170, 7403, -1, 7403, 7170, 7338, -1, 7403, 7338, 7520, -1,
 7520, 7338, 7459, -1, 7520, 7459, 7655, -1, 7655, 7459, 7541, -1,
 6136, 5716, 6207, -1, 6207, 5716, 5772, -1, 6207, 5772, 6618, -1,
 6618, 5772, 5911, -1, 6618, 5911, 7170, -1, 7170, 5911, 6312, -1,
 7170, 6312, 7338, -1, 7338, 6312, 7124, -1, 7338, 7124, 7459, -1,
 7459, 7124, 7260, -1, 7459, 7260, 7541, -1, 7541, 7260, 7388, -1,
 5716, 5311, 5772, -1, 5772, 5311, 5353, -1, 5772, 5353, 5911, -1,
 5911, 5353, 5402, -1, 5911, 5402, 6312, -1, 6312, 5402, 5496, -1,
 6312, 5496, 7124, -1, 7124, 5496, 5804, -1, 7124, 5804, 7260, -1,
 7260, 5804, 6190, -1, 7260, 6190, 7388, -1, 7388, 6190, 7051, -1,
 5311, 4988, 5353, -1, 5353, 4988, 5020, -1, 5353, 5020, 5402, -1,
 5402, 5020, 5045, -1, 5402, 5045, 5496, -1, 5496, 5045, 5072, -1,
 5496, 5072, 5804, -1, 5804, 5072, 5100, -1, 5804, 5100, 6190, -1,
 6190, 5100, 5156, -1, 6190, 5156, 7051, -1, 7051, 5156, 5370, -1,
 4988, 4699, 5020, -1, 5020, 4699, 4725, -1, 5020, 4725, 5045, -1,
 5045, 4725, 4736, -1, 5045, 4736, 5072, -1, 5072, 4736, 4747, -1,
 5072, 4747, 5100, -1, 5100, 4747, 4760, -1, 5100, 4760, 5156, -1,
 5156, 4760, 4771, -1, 5156, 4771, 5370, -1, 5370, 4771, 4785, -1,
 4736, 2587, 2623, -1, 4699, 2332, 4725, -1, 4725, 2332, 2358, -1,
 4725, 2358, 2383, -1, 2383, 2419, 4725, -1, 4725, 2419, 2450, -1,
 4725, 2450, 2486, -1, 2486, 2511, 4725, -1, 4725, 2511, 2531, -1,
 4725, 2531, 4736, -1, 4736, 2531, 2551, -1, 4736, 2551, 2587, -1,
 2643, 4760, 2623, -1, 2623, 4760, 4747, -1, 2623, 4747, 4736, -1,
 2643, 2679, 4760, -1, 4760, 2679, 2707, -1, 4760, 2707, 4771, -1,
 2977, 4785, 4771, -1, 4771, 2707, 2977, -1, 2977, 2707, 2727, -1,
 2977, 2727, 2765, -1, 4716, 2349, 4672, -1, 4672, 2349, 2375, -1,
 4672, 2375, 4682, -1, 4682, 2375, 2403, -1, 2403, 2431, 4682, -1,
 4682, 2431, 2462, -1, 4682, 2462, 2498, -1, 2498, 2523, 4682, -1,
 4682, 2523, 2543, -1, 4682, 2543, 4640, -1, 4640, 2543, 2563, -1,
 4640, 2563, 4650, -1, 4650, 2563, 2599, -1, 4650, 2599, 4608, -1,
 4608, 2599, 2635, -1, 4608, 2635, 4618, -1, 4618, 2635, 4574, -1,
 4574, 2635, 2655, -1, 4574, 2655, 4584, -1, 4584, 2655, 2691, -1,
 4584, 2691, 4547, -1, 4547, 2691, 2719, -1, 4547, 2719, 4548, -1,
 4548, 2719, 4445, -1, 4445, 2719, 2747, -1, 4445, 2747, 2782, -1,
 26, 27, 78, -1, 78, 27, 79, -1, 78, 79, 210, -1,
 210, 79, 211, -1, 210, 211, 290, -1, 290, 211, 291, -1,
 290, 291, 450, -1, 450, 291, 451, -1, 450, 451, 582, -1,
 582, 451, 583, -1, 582, 583, 766, -1, 766, 583, 767, -1,
 766, 767, 926, -1, 926, 767, 927, -1, 926, 927, 1214, -1,
 1214, 927, 1215, -1, 1214, 1215, 1422, -1, 1422, 1215, 1423, -1,
 1422, 1423, 1770, -1, 1770, 1423, 1771, -1, 1770, 1771, 1974, -1,
 1974, 1771, 1975, -1, 1974, 1975, 2782, -1, 2782, 1975, 2783, -1,
 2366, 2350, 4717, -1, 2783, 2755, 4446, -1, 4446, 2755, 4522, -1,
 4522, 2755, 4549, -1, 4549, 2755, 2738, -1, 4549, 2738, 4559, -1,
 4559, 2738, 2699, -1, 4559, 2699, 4575, -1, 4575, 2699, 2671, -1,
 4575, 2671, 4591, -1, 2366, 4717, 2394, -1, 4591, 2671, 4609, -1,
 4609, 2671, 2663, -1, 4609, 2663, 4625, -1, 4625, 2663, 2615, -1,
 4625, 2615, 4641, -1, 4641, 2615, 2607, -1, 4641, 2607, 4657, -1,
 4657, 2607, 2579, -1, 4657, 2579, 4673, -1, 4673, 2579, 2571, -1,
 4673, 2571, 4689, -1, 4689, 2571, 2503, -1, 4689, 2503, 4717, -1,
 4717, 2503, 2475, -1, 4717, 2475, 2467, -1, 2467, 2439, 4717, -1,
 4717, 2439, 2411, -1, 4717, 2411, 2394, -1, 106, 26, 78, -1,
 2318, 2498, 2238, -1, 2238, 2498, 2462, -1, 2238, 2462, 2134, -1,
 2134, 2462, 2431, -1, 2134, 2431, 2002, -1, 2002, 2431, 2403, -1,
 2002, 2403, 1870, -1, 1870, 2403, 2375, -1, 1870, 2375, 1694, -1,
 2563, 2543, 2318, -1, 2318, 2543, 2523, -1, 2318, 2523, 2498, -1,
 2635, 2599, 2266, -1, 2266, 2599, 2563, -1, 2162, 2655, 2635, -1,
 2719, 2691, 2058, -1, 2058, 2691, 2655, -1, 2030, 2747, 2719, -1,
 238, 134, 106, -1, 106, 78, 238, -1, 238, 78, 210, -1,
 238, 210, 346, -1, 210, 290, 346, -1, 346, 290, 450, -1,
 346, 450, 610, -1, 450, 582, 610, -1, 610, 582, 766, -1,
 610, 766, 1002, -1, 766, 926, 1002, -1, 1002, 926, 1214, -1,
 1002, 1214, 1450, -1, 2782, 2747, 1974, -1, 1974, 2747, 2030, -1,
 1974, 2030, 1770, -1, 1770, 2030, 1450, -1, 1770, 1450, 1422, -1,
 1422, 1450, 1214, -1, 478, 374, 332, -1, 2719, 2058, 2030, -1,
 2030, 2058, 1506, -1, 2030, 1506, 1450, -1, 1450, 1506, 1058, -1,
 1450, 1058, 1002, -1, 1002, 1058, 870, -1, 1002, 870, 610, -1,
 610, 870, 554, -1, 610, 554, 346, -1, 346, 554, 478, -1,
 346, 478, 238, -1, 238, 478, 332, -1, 238, 332, 134, -1,
 794, 690, 662, -1, 2655, 2162, 2058, -1, 2058, 2162, 1610, -1,
 2058, 1610, 1506, -1, 1506, 1610, 1346, -1, 1506, 1346, 1058, -1,
 1058, 1346, 1030, -1, 1058, 1030, 870, -1, 870, 1030, 898, -1,
 870, 898, 554, -1, 554, 898, 794, -1, 554, 794, 478, -1,
 478, 794, 662, -1, 478, 662, 374, -1, 1242, 1114, 1086, -1,
 2635, 2266, 2162, -1, 2162, 2266, 1946, -1, 2162, 1946, 1610, -1,
 1610, 1946, 1582, -1, 1610, 1582, 1346, -1, 1346, 1582, 1478, -1,
 1346, 1478, 1030, -1, 1030, 1478, 1318, -1, 1030, 1318, 898, -1,
 898, 1318, 1242, -1, 898, 1242, 794, -1, 794, 1242, 1086, -1,
 794, 1086, 690, -1, 2375, 2349, 1694, -1, 1694, 2349, 1666, -1,
 1694, 1666, 1638, -1, 2563, 2318, 2266, -1, 2266, 2318, 2238, -1,
 2266, 2238, 1946, -1, 1946, 2238, 2134, -1, 1946, 2134, 1582, -1,
 1582, 2134, 2002, -1, 1582, 2002, 1478, -1, 1478, 2002, 1870, -1,
 1478, 1870, 1318, -1, 1318, 1870, 1694, -1, 1318, 1694, 1242, -1,
 1242, 1694, 1638, -1, 1242, 1638, 1114, -1, 1771, 1423, 1451, -1,
 1215, 927, 1003, -1, 767, 583, 611, -1, 451, 291, 347, -1,
 211, 79, 239, -1, 2783, 1975, 2755, -1, 2755, 1975, 2031, -1,
 2755, 2031, 2738, -1, 2738, 2031, 2059, -1, 2738, 2059, 2699, -1,
 2163, 2267, 2607, -1, 2607, 2615, 2163, -1, 2163, 2615, 2663, -1,
 2163, 2663, 2059, -1, 2059, 2663, 2671, -1, 2059, 2671, 2699, -1,
 2475, 2503, 2319, -1, 2319, 2503, 2571, -1, 2319, 2571, 2267, -1,
 2267, 2571, 2579, -1, 2267, 2579, 2607, -1, 2350, 2366, 1667, -1,
 1667, 2366, 1695, -1, 1667, 1695, 1639, -1, 1639, 1695, 1243, -1,
 1639, 1243, 1115, -1, 1115, 1243, 1087, -1, 1087, 1243, 795, -1,
 1087, 795, 691, -1, 691, 795, 663, -1, 663, 795, 479, -1,
 663, 479, 375, -1, 375, 479, 333, -1, 333, 479, 239, -1,
 333, 239, 135, -1, 135, 239, 107, -1, 107, 239, 79, -1,
 107, 79, 27, -1, 291, 211, 347, -1, 347, 211, 239, -1,
 347, 239, 555, -1, 555, 239, 479, -1, 555, 479, 899, -1,
 899, 479, 795, -1, 899, 795, 1319, -1, 1319, 795, 1243, -1,
 1319, 1243, 1871, -1, 1871, 1243, 1695, -1, 1871, 1695, 2394, -1,
 2394, 1695, 2366, -1, 583, 451, 611, -1, 611, 451, 347, -1,
 611, 347, 871, -1, 871, 347, 555, -1, 871, 555, 1031, -1,
 1031, 555, 899, -1, 1031, 899, 1479, -1, 1479, 899, 1319, -1,
 1479, 1319, 2003, -1, 2003, 1319, 1871, -1, 2003, 1871, 2411, -1,
 2411, 1871, 2394, -1, 927, 767, 1003, -1, 1003, 767, 611, -1,
 1003, 611, 1059, -1, 1059, 611, 871, -1, 1059, 871, 1347, -1,
 1347, 871, 1031, -1, 1347, 1031, 1583, -1, 1583, 1031, 1479, -1,
 1583, 1479, 2135, -1, 2135, 1479, 2003, -1, 2135, 2003, 2439, -1,
 2439, 2003, 2411, -1, 1423, 1215, 1451, -1, 1451, 1215, 1003, -1,
 1451, 1003, 1507, -1, 1507, 1003, 1059, -1, 1507, 1059, 1611, -1,
 1611, 1059, 1347, -1, 1611, 1347, 1947, -1, 1947, 1347, 1583, -1,
 1947, 1583, 2239, -1, 2239, 1583, 2135, -1, 2239, 2135, 2467, -1,
 2467, 2135, 2439, -1, 1975, 1771, 2031, -1, 2031, 1771, 1451, -1,
 2031, 1451, 2059, -1, 2059, 1451, 1507, -1, 2059, 1507, 2163, -1,
 2163, 1507, 1611, -1, 2163, 1611, 2267, -1, 2267, 1611, 1947, -1,
 2267, 1947, 2319, -1, 2319, 1947, 2239, -1, 2319, 2239, 2475, -1,
 2475, 2239, 2467, -1, 4753, 2534, 4702, -1, 4702, 2534, 2514, -1,
 2514, 2489, 4702, -1, 4702, 2489, 2453, -1, 4702, 2453, 2422, -1,
 2422, 2386, 4702, -1, 4702, 2386, 2361, -1, 4702, 2361, 2335, -1,
 4753, 4790, 2534, -1, 2534, 4790, 4795, -1, 2534, 4795, 2554, -1,
 2554, 4795, 4797, -1, 2554, 4797, 2590, -1, 2590, 4797, 4816, -1,
 2590, 4816, 5029, -1, 4776, 4593, 2710, -1, 2710, 4593, 4550, -1,
 2710, 4550, 2730, -1, 2730, 4550, 4524, -1, 2730, 4524, 2768, -1,
 2768, 4524, 4514, -1, 2768, 4514, 4431, -1, 4883, 4826, 2682, -1,
 2682, 4826, 4794, -1, 2682, 4794, 2710, -1, 2710, 4794, 4793, -1,
 2710, 4793, 4776, -1, 5029, 5089, 2590, -1, 2590, 5089, 4930, -1,
 2590, 4930, 2626, -1, 2626, 4930, 4883, -1, 2626, 4883, 2646, -1,
 2646, 4883, 2682, -1, 2349, 2335, 1666, -1, 1666, 2335, 1652, -1,
 1666, 1652, 1638, -1, 1638, 1652, 1624, -1, 1638, 1624, 1114, -1,
 1114, 1624, 1100, -1, 1114, 1100, 1086, -1, 1086, 1100, 1072, -1,
 1086, 1072, 690, -1, 690, 1072, 676, -1, 690, 676, 662, -1,
 662, 676, 648, -1, 662, 648, 374, -1, 374, 648, 360, -1,
 374, 360, 332, -1, 332, 360, 318, -1, 332, 318, 134, -1,
 134, 318, 120, -1, 134, 120, 106, -1, 120, 92, 106, -1,
 106, 92, 12, -1, 106, 12, 26, -1, 2336, 2350, 1653, -1,
 1653, 2350, 1667, -1, 1653, 1667, 1625, -1, 1625, 1667, 1639, -1,
 1625, 1639, 1101, -1, 1101, 1639, 1115, -1, 1101, 1115, 1073, -1,
 1073, 1115, 1087, -1, 1073, 1087, 677, -1, 677, 1087, 691, -1,
 677, 691, 649, -1, 649, 691, 663, -1, 649, 663, 361, -1,
 361, 663, 375, -1, 361, 375, 319, -1, 319, 375, 333, -1,
 319, 333, 121, -1, 121, 333, 135, -1, 121, 135, 93, -1,
 135, 107, 93, -1, 93, 107, 27, -1, 93, 27, 13, -1,
 4703, 2336, 4684, -1, 4684, 2336, 2322, -1, 4684, 2322, 2389, -1,
 2389, 2406, 4684, -1, 4684, 2406, 2434, -1, 4684, 2434, 2442, -1,
 2442, 2470, 4684, -1, 4684, 2470, 2478, -1, 4684, 2478, 4659, -1,
 4659, 2478, 2566, -1, 4659, 2566, 4652, -1, 4652, 2566, 2574, -1,
 4652, 2574, 4627, -1, 4627, 2574, 2602, -1, 4627, 2602, 4620, -1,
 4620, 2602, 2610, -1, 4620, 2610, 4595, -1, 4595, 2610, 2658, -1,
 4595, 2658, 4586, -1, 4586, 2658, 2666, -1, 4586, 2666, 4561, -1,
 4561, 2666, 2694, -1, 4561, 2694, 4554, -1, 4554, 2694, 4526, -1,
 4526, 2694, 2733, -1, 4526, 2733, 4517, -1, 2733, 2750, 4517, -1,
 4517, 2750, 2769, -1, 4517, 2769, 4432, -1, 2710, 2730, 2016, -1,
 2016, 2730, 2768, -1, 2626, 2646, 2148, -1, 2148, 2646, 2682, -1,
 2252, 2590, 2626, -1, 2534, 2554, 2304, -1, 2304, 2554, 2590, -1,
 2534, 2304, 2514, -1, 2514, 2304, 2224, -1, 2514, 2224, 2489, -1,
 2489, 2224, 2120, -1, 2489, 2120, 2453, -1, 2453, 2120, 1988, -1,
 2453, 1988, 2422, -1, 2422, 1988, 1856, -1, 2422, 1856, 2386, -1,
 2386, 1856, 1680, -1, 2386, 1680, 2361, -1, 2361, 1680, 1652, -1,
 2361, 1652, 2335, -1, 2768, 1960, 2016, -1, 2016, 1960, 1756, -1,
 2016, 1756, 1436, -1, 1756, 1408, 1436, -1, 1436, 1408, 1200, -1,
 1436, 1200, 988, -1, 1200, 912, 988, -1, 988, 912, 752, -1,
 988, 752, 596, -1, 752, 568, 596, -1, 596, 568, 436, -1,
 596, 436, 304, -1, 12, 92, 64, -1, 64, 92, 224, -1,
 64, 224, 196, -1, 196, 224, 304, -1, 196, 304, 276, -1,
 276, 304, 436, -1, 2710, 2016, 2044, -1, 2044, 2016, 1436, -1,
 2044, 1436, 1492, -1, 1492, 1436, 988, -1, 1492, 988, 1044, -1,
 1044, 988, 596, -1, 1044, 596, 856, -1, 856, 596, 304, -1,
 856, 304, 540, -1, 540, 304, 224, -1, 540, 224, 464, -1,
 92, 120, 224, -1, 224, 120, 318, -1, 224, 318, 464, -1,
 464, 318, 360, -1, 464, 360, 648, -1, 648, 780, 464, -1,
 464, 780, 884, -1, 464, 884, 540, -1, 540, 884, 1016, -1,
 540, 1016, 856, -1, 856, 1016, 1332, -1, 856, 1332, 1044, -1,
 1044, 1332, 1596, -1, 1044, 1596, 1492, -1, 1492, 1596, 2148, -1,
 1492, 2148, 2044, -1, 2044, 2148, 2682, -1, 2044, 2682, 2710, -1,
 2626, 2148, 2252, -1, 2252, 2148, 1596, -1, 2252, 1596, 1932, -1,
 1932, 1596, 1332, -1, 1932, 1332, 1568, -1, 1568, 1332, 1016, -1,
 1568, 1016, 1464, -1, 1464, 1016, 884, -1, 1464, 884, 1304, -1,
 1304, 884, 780, -1, 1304, 780, 1228, -1, 648, 676, 780, -1,
 780, 676, 1072, -1, 780, 1072, 1228, -1, 1228, 1072, 1100, -1,
 1228, 1100, 1624, -1, 2590, 2252, 2304, -1, 2304, 2252, 1932, -1,
 2304, 1932, 2224, -1, 2224, 1932, 1568, -1, 2224, 1568, 2120, -1,
 2120, 1568, 1464, -1, 2120, 1464, 1988, -1, 1988, 1464, 1304, -1,
 1988, 1304, 1856, -1, 1856, 1304, 1228, -1, 1856, 1228, 1680, -1,
 1680, 1228, 1624, -1, 1680, 1624, 1652, -1, 437, 569, 597, -1,
 753, 913, 989, -1, 1201, 1409, 1437, -1, 1757, 1961, 2017, -1,
 1681, 2322, 2336, -1, 2470, 2305, 2478, -1, 2478, 2305, 2566, -1,
 2566, 2305, 2574, -1, 2574, 2305, 2253, -1, 2574, 2253, 2602, -1,
 2602, 2253, 2610, -1, 2610, 2253, 2149, -1, 2610, 2149, 2658, -1,
 2658, 2149, 2666, -1, 2666, 2149, 2045, -1, 2666, 2045, 2694, -1,
 2694, 2045, 2017, -1, 2694, 2017, 2733, -1, 2733, 2017, 2750, -1,
 2750, 2017, 1961, -1, 2750, 1961, 2769, -1, 2336, 1653, 1681, -1,
 1681, 1653, 1625, -1, 1681, 1625, 1229, -1, 1625, 1101, 1229, -1,
 1229, 1101, 1073, -1, 1229, 1073, 781, -1, 1073, 677, 781, -1,
 781, 677, 649, -1, 781, 649, 465, -1, 2389, 2322, 1857, -1,
 1857, 2322, 1681, -1, 1857, 1681, 1305, -1, 1305, 1681, 1229, -1,
 1305, 1229, 885, -1, 885, 1229, 781, -1, 885, 781, 541, -1,
 541, 781, 465, -1, 541, 465, 305, -1, 305, 465, 225, -1,
 1409, 1757, 1437, -1, 1437, 1757, 2017, -1, 1437, 2017, 1493, -1,
 1493, 2017, 2045, -1, 1493, 2045, 1597, -1, 1597, 2045, 2149, -1,
 1597, 2149, 1933, -1, 1933, 2149, 2253, -1, 1933, 2253, 2225, -1,
 2225, 2253, 2305, -1, 2225, 2305, 2442, -1, 2442, 2305, 2470, -1,
 913, 1201, 989, -1, 989, 1201, 1437, -1, 989, 1437, 1045, -1,
 1045, 1437, 1493, -1, 1045, 1493, 1333, -1, 1333, 1493, 1597, -1,
 1333, 1597, 1569, -1, 1569, 1597, 1933, -1, 1569, 1933, 2121, -1,
 2121, 1933, 2225, -1, 2121, 2225, 2434, -1, 2434, 2225, 2442, -1,
 569, 753, 597, -1, 597, 753, 989, -1, 597, 989, 857, -1,
 857, 989, 1045, -1, 857, 1045, 1017, -1, 1017, 1045, 1333, -1,
 1017, 1333, 1465, -1, 1465, 1333, 1569, -1, 1465, 1569, 1989, -1,
 1989, 1569, 2121, -1, 1989, 2121, 2406, -1, 2406, 2121, 2434, -1,
 277, 437, 305, -1, 305, 437, 597, -1, 305, 597, 541, -1,
 541, 597, 857, -1, 541, 857, 885, -1, 885, 857, 1017, -1,
 885, 1017, 1305, -1, 1305, 1017, 1465, -1, 1305, 1465, 1857, -1,
 1857, 1465, 1989, -1, 1857, 1989, 2389, -1, 2389, 1989, 2406, -1,
 649, 361, 465, -1, 465, 361, 319, -1, 465, 319, 225, -1,
 225, 319, 121, -1, 225, 121, 93, -1, 277, 305, 197, -1,
 197, 305, 225, -1, 197, 225, 65, -1, 65, 225, 93, -1,
 65, 93, 13, -1, 2768, 2769, 1960, -1, 1960, 2769, 1961, -1,
 1960, 1961, 1756, -1, 1756, 1961, 1757, -1, 1756, 1757, 1408, -1,
 1408, 1757, 1409, -1, 1408, 1409, 1200, -1, 1200, 1409, 1201, -1,
 1200, 1201, 912, -1, 912, 1201, 913, -1, 912, 913, 752, -1,
 752, 913, 753, -1, 752, 753, 568, -1, 568, 753, 569, -1,
 568, 569, 436, -1, 436, 569, 437, -1, 436, 437, 276, -1,
 276, 437, 277, -1, 276, 277, 196, -1, 196, 277, 197, -1,
 196, 197, 64, -1, 64, 197, 65, -1, 64, 65, 12, -1,
 12, 65, 13, -1, 6753, 6752, 7028, -1, 7028, 6752, 7074, -1,
 7028, 7074, 7037, -1, 7208, 7132, 7191, -1, 7191, 7132, 7099, -1,
 7191, 7099, 7074, -1, 7074, 7099, 7089, -1, 7074, 7089, 7037, -1,
 7430, 7360, 7331, -1, 7208, 7191, 7233, -1, 7233, 7191, 7310, -1,
 7233, 7310, 7331, -1, 7331, 7310, 7429, -1, 7331, 7429, 7430, -1,
 7561, 7699, 7700, -1, 7700, 7623, 7561, -1, 7561, 7623, 7562, -1,
 7561, 7562, 7429, -1, 7429, 7562, 7495, -1, 7429, 7495, 7430, -1,
 6752, 6540, 7074, -1, 7074, 6540, 6718, -1, 7074, 6718, 7191, -1,
 7191, 6718, 7148, -1, 7191, 7148, 7310, -1, 7310, 7148, 7283, -1,
 7310, 7283, 7429, -1, 7429, 7283, 7405, -1, 7429, 7405, 7561, -1,
 7561, 7405, 7522, -1, 7561, 7522, 7699, -1, 7699, 7522, 7657, -1,
 6540, 6138, 6718, -1, 6718, 6138, 6209, -1, 6718, 6209, 7148, -1,
 7148, 6209, 6620, -1, 7148, 6620, 7283, -1, 7283, 6620, 7172, -1,
 7283, 7172, 7405, -1, 7405, 7172, 7340, -1, 7405, 7340, 7522, -1,
 7522, 7340, 7461, -1, 7522, 7461, 7657, -1, 7657, 7461, 7543, -1,
 6138, 5718, 6209, -1, 6209, 5718, 5774, -1, 6209, 5774, 6620, -1,
 6620, 5774, 5913, -1, 6620, 5913, 7172, -1, 7172, 5913, 6314, -1,
 7172, 6314, 7340, -1, 7340, 6314, 7126, -1, 7340, 7126, 7461, -1,
 7461, 7126, 7262, -1, 7461, 7262, 7543, -1, 7543, 7262, 7390, -1,
 5718, 5313, 5774, -1, 5774, 5313, 5355, -1, 5774, 5355, 5913, -1,
 5913, 5355, 5404, -1, 5913, 5404, 6314, -1, 6314, 5404, 5498, -1,
 6314, 5498, 7126, -1, 7126, 5498, 5806, -1, 7126, 5806, 7262, -1,
 7262, 5806, 6192, -1, 7262, 6192, 7390, -1, 7390, 6192, 7053, -1,
 5313, 4990, 5355, -1, 5355, 4990, 5022, -1, 5355, 5022, 5404, -1,
 5404, 5022, 5047, -1, 5404, 5047, 5498, -1, 5498, 5047, 5074, -1,
 5498, 5074, 5806, -1, 5806, 5074, 5102, -1, 5806, 5102, 6192, -1,
 6192, 5102, 5158, -1, 6192, 5158, 7053, -1, 7053, 5158, 5372, -1,
 4990, 4701, 5022, -1, 5022, 4701, 4727, -1, 5022, 4727, 5047, -1,
 5047, 4727, 4738, -1, 5047, 4738, 5074, -1, 5074, 4738, 4749, -1,
 5074, 4749, 5102, -1, 5102, 4749, 4762, -1, 5102, 4762, 5158, -1,
 5158, 4762, 4773, -1, 5158, 4773, 5372, -1, 5372, 4773, 4787, -1,
 4738, 2589, 2625, -1, 4701, 2334, 4727, -1, 4727, 2334, 2360, -1,
 4727, 2360, 2385, -1, 2385, 2421, 4727, -1, 4727, 2421, 2452, -1,
 4727, 2452, 2488, -1, 2488, 2513, 4727, -1, 4727, 2513, 2533, -1,
 4727, 2533, 4738, -1, 4738, 2533, 2553, -1, 4738, 2553, 2589, -1,
 2645, 4762, 2625, -1, 2625, 4762, 4749, -1, 2625, 4749, 4738, -1,
 2645, 2681, 4762, -1, 4762, 2681, 2709, -1, 4762, 2709, 4773, -1,
 2979, 4787, 4773, -1, 4773, 2709, 2979, -1, 2979, 2709, 2729, -1,
 2979, 2729, 2767, -1, 435, 567, 595, -1, 751, 911, 987, -1,
 1199, 1407, 1435, -1, 1755, 1959, 2015, -1, 2533, 2513, 2303, -1,
 1679, 2360, 2334, -1, 2533, 2303, 2553, -1, 2553, 2303, 2251, -1,
 2553, 2251, 2589, -1, 2589, 2251, 2625, -1, 2625, 2251, 2147, -1,
 2625, 2147, 2645, -1, 2645, 2147, 2043, -1, 2645, 2043, 2681, -1,
 2681, 2043, 2709, -1, 2709, 2043, 2015, -1, 2709, 2015, 2729, -1,
 2729, 2015, 1959, -1, 2729, 1959, 2767, -1, 2334, 1651, 1679, -1,
 1679, 1651, 1623, -1, 1679, 1623, 1227, -1, 1623, 1099, 1227, -1,
 1227, 1099, 1071, -1, 1227, 1071, 779, -1, 1071, 675, 779, -1,
 779, 675, 647, -1, 779, 647, 463, -1, 2385, 2360, 1855, -1,
 1855, 2360, 1679, -1, 1855, 1679, 1303, -1, 1303, 1679, 1227, -1,
 1303, 1227, 883, -1, 883, 1227, 779, -1, 883, 779, 539, -1,
 539, 779, 463, -1, 539, 463, 303, -1, 303, 463, 223, -1,
 1407, 1755, 1435, -1, 1435, 1755, 2015, -1, 1435, 2015, 1491, -1,
 1491, 2015, 2043, -1, 1491, 2043, 1595, -1, 1595, 2043, 2147, -1,
 1595, 2147, 1931, -1, 1931, 2147, 2251, -1, 1931, 2251, 2223, -1,
 2223, 2251, 2303, -1, 2223, 2303, 2488, -1, 2488, 2303, 2513, -1,
 911, 1199, 987, -1, 987, 1199, 1435, -1, 987, 1435, 1043, -1,
 1043, 1435, 1491, -1, 1043, 1491, 1331, -1, 1331, 1491, 1595, -1,
 1331, 1595, 1567, -1, 1567, 1595, 1931, -1, 1567, 1931, 2119, -1,
 2119, 1931, 2223, -1, 2119, 2223, 2452, -1, 2452, 2223, 2488, -1,
 567, 751, 595, -1, 595, 751, 987, -1, 595, 987, 855, -1,
 855, 987, 1043, -1, 855, 1043, 1015, -1, 1015, 1043, 1331, -1,
 1015, 1331, 1463, -1, 1463, 1331, 1567, -1, 1463, 1567, 1987, -1,
 1987, 1567, 2119, -1, 1987, 2119, 2421, -1, 2421, 2119, 2452, -1,
 275, 435, 303, -1, 303, 435, 595, -1, 303, 595, 539, -1,
 539, 595, 855, -1, 539, 855, 883, -1, 883, 855, 1015, -1,
 883, 1015, 1303, -1, 1303, 1015, 1463, -1, 1303, 1463, 1855, -1,
 1855, 1463, 1987, -1, 1855, 1987, 2385, -1, 2385, 1987, 2421, -1,
 647, 359, 463, -1, 463, 359, 317, -1, 463, 317, 223, -1,
 223, 317, 119, -1, 223, 119, 91, -1, 275, 303, 195, -1,
 195, 303, 223, -1, 195, 223, 63, -1, 63, 223, 91, -1,
 63, 91, 11, -1, 7902, 7996, 7898, -1, 7898, 7996, 7992, -1,
 7898, 7992, 7892, -1, 7892, 7992, 7886, -1, 7886, 7992, 7988, -1,
 7886, 7988, 7880, -1, 7880, 7988, 7872, -1, 7872, 7988, 7984, -1,
 7872, 7984, 7864, -1, 7864, 7984, 7980, -1, 7864, 7980, 7846, -1,
 7846, 7980, 7976, -1, 7846, 7976, 7826, -1, 7826, 7976, 7972, -1,
 7826, 7972, 7766, -1, 8001, 7997, 8087, -1, 8001, 8087, 8091, -1,
 8091, 8087, 8147, -1, 8091, 8147, 8151, -1, 8151, 8147, 8189, -1,
 8151, 8189, 8193, -1, 8193, 8189, 8223, -1, 8193, 8223, 8227, -1,
 8227, 8223, 8245, -1, 8227, 8245, 8249, -1, 8249, 8245, 8257, -1,
 8249, 8257, 8265, -1, 8256, 8257, 8241, -1, 8256, 8241, 8240, -1,
 8240, 8241, 8219, -1, 8240, 8219, 8218, -1, 8218, 8219, 8185, -1,
 8218, 8185, 8184, -1, 8184, 8185, 8139, -1, 8184, 8139, 8138, -1,
 8138, 8139, 8083, -1, 8138, 8083, 8082, -1, 8082, 8083, 7973, -1,
 8082, 7973, 7972, -1, 7766, 7765, 7825, -1, 7766, 7825, 7826, -1,
 7826, 7825, 7845, -1, 7826, 7845, 7846, -1, 7846, 7845, 7863, -1,
 7846, 7863, 7864, -1, 7879, 7880, 7863, -1, 7863, 7880, 7872, -1,
 7863, 7872, 7864, -1, 7891, 7901, 7902, -1, 7902, 7898, 7891, -1,
 7891, 7898, 7892, -1, 7891, 7892, 7879, -1, 7879, 7892, 7886, -1,
 7879, 7886, 7880, -1, 8257, 8245, 8235, -1, 8119, 8057, 8045, -1,
 7997, 7993, 8019, -1, 8045, 8057, 7997, -1, 8073, 7997, 8057, -1,
 8073, 8057, 8131, -1, 8131, 8057, 8119, -1, 8131, 8119, 8177, -1,
 8087, 7997, 8073, -1, 8103, 8029, 8069, -1, 8069, 8029, 8019, -1,
 8069, 8019, 8025, -1, 8025, 8019, 7993, -1, 8025, 7993, 7989, -1,
 8087, 8073, 8147, -1, 8147, 8073, 8131, -1, 8147, 8131, 8189, -1,
 8189, 8131, 8177, -1, 8189, 8177, 8223, -1, 8165, 8103, 8143, -1,
 8143, 8103, 8069, -1, 8143, 8069, 8099, -1, 8099, 8069, 8025, -1,
 8099, 8025, 8041, -1, 8041, 8025, 7989, -1, 8041, 7989, 7985, -1,
 8211, 8165, 8201, -1, 8201, 8165, 8143, -1, 8201, 8143, 8161, -1,
 8161, 8143, 8099, -1, 8161, 8099, 8115, -1, 8115, 8099, 8041, -1,
 8115, 8041, 8053, -1, 8053, 8041, 7985, -1, 8053, 7985, 7981, -1,
 8245, 8211, 8235, -1, 8235, 8211, 8201, -1, 8235, 8201, 8207, -1,
 8207, 8201, 8161, -1, 8207, 8161, 8173, -1, 8173, 8161, 8115, -1,
 8173, 8115, 8127, -1, 8127, 8115, 8053, -1, 8127, 8053, 8065, -1,
 8065, 8053, 7981, -1, 8065, 7981, 7977, -1, 8257, 8235, 8241, -1,
 8241, 8235, 8207, -1, 8241, 8207, 8219, -1, 8219, 8207, 8173, -1,
 8219, 8173, 8185, -1, 8185, 8173, 8127, -1, 8185, 8127, 8139, -1,
 8139, 8127, 8065, -1, 8139, 8065, 8083, -1, 8083, 8065, 7977, -1,
 8083, 7977, 7973, -1, 8029, 7997, 8019, -1, 8245, 8223, 8211, -1,
 8211, 8223, 8177, -1, 8211, 8177, 8165, -1, 8165, 8177, 8119, -1,
 8165, 8119, 8103, -1, 8103, 8119, 8045, -1, 8103, 8045, 8029, -1,
 8029, 8045, 7997, -1, 7686, 7778, 7776, -1, 7686, 7776, 7682, -1,
 7682, 7776, 7774, -1, 7682, 7774, 7678, -1, 7678, 7774, 7772, -1,
 7678, 7772, 7674, -1, 7674, 7772, 7770, -1, 7674, 7770, 7670, -1,
 7670, 7770, 7768, -1, 7670, 7768, 7666, -1, 7666, 7768, 7765, -1,
 7666, 7765, 7662, -1, 7700, 7686, 7623, -1, 7623, 7686, 7550, -1,
 7418, 7495, 7550, -1, 7550, 7495, 7562, -1, 7550, 7562, 7623, -1,
 7298, 7360, 7418, -1, 7418, 7360, 7430, -1, 7418, 7430, 7495, -1,
 7285, 7291, 7298, -1, 7298, 7291, 7301, -1, 7298, 7301, 7360, -1,
 7153, 7174, 7181, -1, 7181, 7174, 7204, -1, 7181, 7204, 7298, -1,
 7298, 7204, 7250, -1, 7298, 7250, 7285, -1, 6721, 6730, 7064, -1,
 7064, 6730, 7026, -1, 7026, 7032, 7064, -1, 7064, 7032, 7087, -1,
 7064, 7087, 7181, -1, 7181, 7087, 7091, -1, 7181, 7091, 7153, -1,
 7687, 7702, 7564, -1, 7687, 7564, 7551, -1, 7551, 7564, 7432, -1,
 7551, 7432, 7419, -1, 7419, 7432, 7312, -1, 7419, 7312, 7299, -1,
 7299, 7312, 7193, -1, 7299, 7193, 7182, -1, 7182, 7193, 7076, -1,
 7182, 7076, 7065, -1, 7065, 7076, 6974, -1, 7065, 6974, 6722, -1,
 7997, 7687, 7683, -1, 7997, 7683, 7993, -1, 7993, 7683, 7679, -1,
 7993, 7679, 7989, -1, 7989, 7679, 7675, -1, 7989, 7675, 7985, -1,
 7985, 7675, 7671, -1, 7985, 7671, 7981, -1, 7981, 7671, 7667, -1,
 7981, 7667, 7977, -1, 7977, 7667, 7663, -1, 7977, 7663, 7973, -1,
 7546, 7410, 7578, -1, 7578, 7410, 7464, -1, 7578, 7464, 7596, -1,
 7596, 7464, 7481, -1, 7596, 7481, 7612, -1, 7612, 7481, 7498, -1,
 7612, 7498, 7626, -1, 7626, 7498, 7582, -1, 7626, 7582, 7644, -1,
 7644, 7582, 7630, -1, 7644, 7630, 7686, -1, 7410, 7294, 7464, -1,
 7464, 7294, 7343, -1, 7464, 7343, 7481, -1, 7481, 7343, 7363, -1,
 7481, 7363, 7498, -1, 7498, 7363, 7414, -1, 7498, 7414, 7582, -1,
 7582, 7414, 7502, -1, 7582, 7502, 7630, -1, 7630, 7502, 7616, -1,
 7630, 7616, 7686, -1, 7662, 7546, 7666, -1, 7666, 7546, 7578, -1,
 7666, 7578, 7670, -1, 7670, 7578, 7596, -1, 7670, 7596, 7674, -1,
 7674, 7596, 7612, -1, 7674, 7612, 7678, -1, 7678, 7612, 7626, -1,
 7678, 7626, 7682, -1, 7682, 7626, 7644, -1, 7682, 7644, 7686, -1,
 7177, 7060, 7216, -1, 7216, 7060, 7112, -1, 7216, 7112, 7271, -1,
 7271, 7112, 7220, -1, 7271, 7220, 7367, -1, 7367, 7220, 7347, -1,
 7367, 7347, 7485, -1, 7485, 7347, 7468, -1, 7485, 7468, 7600, -1,
 7600, 7468, 7586, -1, 7600, 7586, 7686, -1, 7060, 6721, 7112, -1,
 7112, 6721, 7064, -1, 7112, 7064, 7220, -1, 7220, 7064, 7181, -1,
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 726, 714, 398, -1, 726, 398, 410, -1, 410, 398, 158, -1,
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 2794, 2795, 1707, -1, 2794, 1707, 1706, -1, 1706, 1707, 1127, -1,
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 702, 703, 387, -1, 702, 387, 386, -1, 386, 387, 147, -1,
 386, 147, 146, -1, 146, 147, 39, -1, 146, 39, 38, -1,
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 727, 715, 1151, -1, 727, 1151, 1163, -1, 1163, 1151, 1719, -1,
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 1359, 1519, 1139, -1, 1359, 1139, 939, -1, 939, 1139, 951, -1,
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 503, 819, 715, -1, 503, 715, 399, -1, 2807, 1883, 1783, -1,
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 491, 623, 503, -1, 491, 503, 251, -1, 251, 503, 399, -1,
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 703, 807, 491, -1, 703, 491, 387, -1, 387, 491, 251, -1,
 387, 251, 147, -1, 147, 251, 159, -1, 147, 159, 39, -1,
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 1883, 2071, 1519, -1, 1519, 2071, 1795, -1, 1519, 1795, 1531, -1,
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 4227, 2843, 4213, -1, 4213, 2843, 2831, -1, 4213, 2831, 4200, -1,
 2819, 4163, 2831, -1, 2831, 4163, 4178, -1, 2831, 4178, 4200, -1,
 2807, 2795, 3984, -1, 3984, 4048, 2807, -1, 2807, 4048, 4068, -1,
 2807, 4068, 2819, -1, 2819, 4068, 4151, -1, 2819, 4151, 4163, -1,
 2792, 2793, 1705, -1, 2792, 1705, 1704, -1, 1704, 1705, 1125, -1,
 1704, 1125, 1124, -1, 1124, 1125, 701, -1, 1124, 701, 700, -1,
 700, 701, 385, -1, 700, 385, 384, -1, 384, 385, 145, -1,
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 5595, 5563, 3984, -1, 3984, 5563, 5535, -1, 3984, 5535, 4048, -1,
 4048, 5535, 5523, -1, 4048, 5523, 5510, -1, 6973, 6576, 6966, -1,
 6966, 6576, 6448, -1, 6576, 6380, 6448, -1, 6448, 6380, 6211, -1,
 6448, 6211, 6030, -1, 6211, 5971, 6030, -1, 6030, 5971, 5826, -1,
 6030, 5826, 5607, -1, 5826, 5551, 5607, -1, 5607, 5551, 5438, -1,
 5607, 5438, 5201, -1, 5438, 5171, 5201, -1, 5201, 5171, 5106, -1,
 5201, 5106, 4872, -1, 4464, 4458, 4820, -1, 4820, 4458, 4872, -1,
 4820, 4872, 4842, -1, 4842, 4872, 5106, -1, 49, 37, 157, -1,
 49, 157, 169, -1, 169, 157, 397, -1, 169, 397, 409, -1,
 409, 397, 713, -1, 409, 713, 725, -1, 725, 713, 1149, -1,
 725, 1149, 1161, -1, 1161, 1149, 1717, -1, 1161, 1717, 1729, -1,
 1729, 1717, 2865, -1, 1729, 2865, 2877, -1, 1704, 1124, 1780, -1,
 1780, 1124, 1252, -1, 1780, 1252, 1880, -1, 1880, 1252, 1356, -1,
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 2172, 1516, 1792, -1, 2172, 1792, 2276, -1, 2276, 1792, 2184, -1,
 2276, 2184, 2864, -1, 1124, 700, 1252, -1, 1252, 700, 804, -1,
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 1516, 936, 1136, -1, 1516, 1136, 1792, -1, 1792, 1136, 1528, -1,
 1792, 1528, 2184, -1, 2184, 1528, 2080, -1, 2184, 2080, 2864, -1,
 2792, 1704, 2804, -1, 2804, 1704, 1780, -1, 2804, 1780, 2816, -1,
 2816, 1780, 1880, -1, 2816, 1880, 2828, -1, 2828, 1880, 2068, -1,
 2828, 2068, 2840, -1, 2840, 2068, 2172, -1, 2840, 2172, 2852, -1,
 2852, 2172, 2276, -1, 2852, 2276, 2864, -1, 384, 144, 488, -1,
 488, 144, 248, -1, 488, 248, 620, -1, 620, 248, 500, -1,
 620, 500, 948, -1, 948, 500, 816, -1, 948, 816, 1368, -1,
 1368, 816, 1264, -1, 1368, 1264, 1892, -1, 1892, 1264, 1804, -1,
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 816, 396, 712, -1, 816, 712, 1264, -1, 1264, 712, 1148, -1,
 1264, 1148, 1804, -1, 1804, 1148, 1716, -1, 1804, 1716, 2864, -1,
 700, 384, 804, -1, 804, 384, 488, -1, 804, 488, 936, -1,
 936, 488, 620, -1, 936, 620, 1136, -1, 1136, 620, 948, -1,
 1136, 948, 1528, -1, 1528, 948, 1368, -1, 1528, 1368, 2080, -1,
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 3990, 2792, 2804, -1, 3990, 2804, 4064, -1, 4064, 2804, 4136, -1,
 4136, 2804, 2816, -1, 4136, 2816, 4161, -1, 4161, 2816, 4172, -1,
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 5468, 4413, 4411, -1, 4411, 4413, 4365, -1, 4411, 4365, 4350, -1,
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 3012, 3035, 3103, -1, 7934, 7932, 8319, -1, 7931, 7928, 8321, -1,
 7926, 7924, 8323, -1, 9499, 9501, 9093, -1, 9494, 9497, 9090, -1,
 9090, 9497, 9499, -1, 9088, 9491, 9493, -1, 9086, 9487, 9490, -1,
 9084, 9483, 9485, -1, 9483, 9084, 9481, -1, 9080, 9473, 9477, -1,
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 8717, 8778, 8780, -1, 8780, 8778, 9033, -1, 8780, 9033, 9035, -1,
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 9090, 9493, 9494, -1, 7932, 8321, 8319, -1, 8319, 8321, 8376, -1,
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 8629, 8631, 8694, -1, 8629, 8694, 8692, -1, 8692, 8694, 8713, -1,
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 8631, 8696, 8694, -1, 8694, 8696, 8711, -1, 8694, 8711, 8713, -1,
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 8378, 8639, 8637, -1, 8637, 8639, 8698, -1, 8637, 8698, 8696, -1,
 8696, 8698, 8709, -1, 8696, 8709, 8711, -1, 8711, 8709, 8768, -1,
 8711, 8768, 8770, -1, 8770, 8768, 9027, -1, 8770, 9027, 9029, -1,
 9029, 9027, 9082, -1, 9029, 9082, 9084, -1, 7914, 8328, 8325, -1,
 8325, 8328, 8383, -1, 8325, 8383, 8380, -1, 8380, 8383, 8642, -1,
 8380, 8642, 8639, -1, 8639, 8642, 8701, -1, 8639, 8701, 8698, -1,
 8698, 8701, 8707, -1, 8698, 8707, 8709, -1, 8709, 8707, 8766, -1,
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 9027, 9025, 9080, -1, 9027, 9080, 9082, -1, 9082, 9080, 9477, -1,
 9082, 9477, 9084, -1, 9084, 9477, 9479, -1, 9084, 9479, 9481, -1,
 8332, 8348, 8350, -1, 8411, 8603, 8605, -1, 8756, 8805, 8803, -1,
 8997, 9060, 9058, -1, 9650, 9648, 9109, -1, 9622, 9618, 9103, -1,
 9598, 9596, 9095, -1, 9103, 9618, 9099, -1, 9618, 9612, 9099, -1,
 9099, 9612, 9606, -1, 9099, 9606, 9095, -1, 9095, 9606, 9604, -1,
 9095, 9604, 9598, -1, 9109, 9648, 9107, -1, 9648, 9646, 9107, -1,
 9107, 9646, 9626, -1, 9107, 9626, 9103, -1, 9103, 9626, 9624, -1,
 9103, 9624, 9622, -1, 9076, 9115, 9113, -1, 9113, 9115, 9660, -1,
 9660, 9656, 9113, -1, 9113, 9656, 9654, -1, 9113, 9654, 9109, -1,
 9109, 9654, 9652, -1, 9109, 9652, 9650, -1, 7750, 8293, 7752, -1,
 7752, 8293, 8295, -1, 8299, 7756, 8295, -1, 8295, 7756, 7754, -1,
 8295, 7754, 7752, -1, 7782, 7762, 8301, -1, 8301, 7762, 7760, -1,
 8301, 7760, 8299, -1, 8299, 7760, 7758, -1, 8299, 7758, 7756, -1,
 7782, 8301, 7784, -1, 7784, 8301, 8305, -1, 7784, 8305, 7786, -1,
 8309, 7796, 8305, -1, 8305, 7796, 7790, -1, 8305, 7790, 7786, -1,
 7812, 7810, 8313, -1, 8313, 7810, 7804, -1, 8313, 7804, 8309, -1,
 8309, 7804, 7802, -1, 8309, 7802, 7796, -1, 8682, 8623, 8678, -1,
 8678, 8623, 8619, -1, 8678, 8619, 8674, -1, 8674, 8619, 8615, -1,
 8674, 8615, 8670, -1, 8670, 8615, 8611, -1, 8670, 8611, 8668, -1,
 8668, 8611, 8609, -1, 8668, 8609, 8664, -1, 8664, 8609, 8605, -1,
 9095, 9040, 9099, -1, 9099, 9040, 9044, -1, 9099, 9044, 9103, -1,
 9103, 9044, 9048, -1, 9103, 9048, 9107, -1, 9107, 9048, 9052, -1,
 9107, 9052, 9109, -1, 9109, 9052, 9054, -1, 9109, 9054, 9113, -1,
 9113, 9054, 9058, -1, 9113, 9058, 9076, -1, 9076, 9058, 9060, -1,
 8805, 8997, 8803, -1, 8803, 8997, 9058, -1, 8803, 9058, 8799, -1,
 8799, 9058, 9054, -1, 8799, 9054, 8797, -1, 8797, 9054, 9052, -1,
 8797, 9052, 8793, -1, 8793, 9052, 9048, -1, 8793, 9048, 8789, -1,
 8789, 9048, 9044, -1, 8789, 9044, 8785, -1, 8785, 9044, 9040, -1,
 8746, 8756, 8744, -1, 8744, 8756, 8803, -1, 8744, 8803, 8740, -1,
 8740, 8803, 8799, -1, 8740, 8799, 8738, -1, 8738, 8799, 8797, -1,
 8738, 8797, 8734, -1, 8734, 8797, 8793, -1, 8734, 8793, 8730, -1,
 8730, 8793, 8789, -1, 8730, 8789, 8726, -1, 8726, 8789, 8785, -1,
 8726, 8682, 8730, -1, 8730, 8682, 8678, -1, 8730, 8678, 8734, -1,
 8734, 8678, 8674, -1, 8734, 8674, 8738, -1, 8738, 8674, 8670, -1,
 8738, 8670, 8740, -1, 8740, 8670, 8668, -1, 8740, 8668, 8744, -1,
 8744, 8668, 8664, -1, 8744, 8664, 8746, -1, 8746, 8664, 8662, -1,
 8605, 8603, 8664, -1, 8664, 8603, 8652, -1, 8664, 8652, 8662, -1,
 8623, 8368, 8619, -1, 8619, 8368, 8364, -1, 8619, 8364, 8615, -1,
 8615, 8364, 8360, -1, 8615, 8360, 8611, -1, 8611, 8360, 8356, -1,
 8611, 8356, 8609, -1, 8609, 8356, 8354, -1, 8609, 8354, 8605, -1,
 8605, 8354, 8350, -1, 8605, 8350, 8411, -1, 8411, 8350, 8348, -1,
 8293, 8332, 8295, -1, 8295, 8332, 8350, -1, 8295, 8350, 8299, -1,
 8299, 8350, 8354, -1, 8299, 8354, 8301, -1, 8301, 8354, 8356, -1,
 8301, 8356, 8305, -1, 8305, 8356, 8360, -1, 8305, 8360, 8309, -1,
 8309, 8360, 8364, -1, 8309, 8364, 8313, -1, 8313, 8364, 8368, -1,
 49, 169, 261, -1, 1381, 1905, 2093, -1, 2877, 2892, 2289, -1,
 2093, 1905, 2877, -1, 1817, 2877, 1905, -1, 1817, 1905, 1277, -1,
 1277, 1905, 1381, -1, 1277, 1381, 829, -1, 1729, 2877, 1817, -1,
 1541, 2197, 1829, -1, 1829, 2197, 2289, -1, 1829, 2289, 2209, -1,
 2209, 2289, 2892, -1, 2209, 2892, 2907, -1, 1729, 1817, 1161, -1,
 1161, 1817, 1277, -1, 1161, 1277, 725, -1, 725, 1277, 829, -1,
 725, 829, 409, -1, 961, 1541, 1173, -1, 1173, 1541, 1829, -1,
 1173, 1829, 1553, -1, 1553, 1829, 2209, -1, 1553, 2209, 2105, -1,
 2105, 2209, 2907, -1, 2105, 2907, 2922, -1, 513, 961, 633, -1,
 633, 961, 1173, -1, 633, 1173, 973, -1, 973, 1173, 1553, -1,
 973, 1553, 1393, -1, 1393, 1553, 2105, -1, 1393, 2105, 1917, -1,
 1917, 2105, 2922, -1, 1917, 2922, 2937, -1, 169, 513, 261, -1,
 261, 513, 633, -1, 261, 633, 525, -1, 525, 633, 973, -1,
 525, 973, 841, -1, 841, 973, 1393, -1, 841, 1393, 1289, -1,
 1289, 1393, 1917, -1, 1289, 1917, 1841, -1, 1841, 1917, 2937, -1,
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 181, 525, 421, -1, 421, 525, 841, -1, 421, 841, 737, -1,
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 2873, 2861, 4467, -1, 4467, 2861, 3703, -1, 4467, 3703, 4186, -1,
 29, 41, 28, -1, 28, 41, 40, -1, 3977, 3793, 3976, -1,
 3976, 3793, 3975, -1, 2785, 2784, 3497, -1, 3497, 2784, 3975, -1,
 3497, 3975, 3626, -1, 3626, 3975, 3793, -1, 4094, 4014, 4010, -1,
 4010, 4071, 4094, -1, 4094, 4071, 4082, -1, 4094, 4082, 4088, -1,
 3552, 3550, 2870, -1, 2870, 3550, 2858, -1, 2869, 2857, 3511, -1,
 3511, 2857, 3509, -1, 4322, 4466, 4367, -1, 4367, 4466, 4451, -1,
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 4185, 4466, 4322, -1, 2871, 2859, 4465, -1, 4465, 2859, 4290, -1,
 4465, 4290, 4450, -1, 3028, 3039, 3053, -1, 3053, 3039, 3075, -1,
 3053, 3075, 3089, -1, 3089, 3075, 3111, -1, 3089, 3111, 3125, -1,
 3125, 3111, 3147, -1, 3125, 3147, 3161, -1, 3161, 3147, 3183, -1,
 3161, 3183, 3197, -1, 3197, 3183, 3220, -1, 3197, 3220, 3240, -1,
 3240, 3220, 3264, -1, 3240, 3264, 3278, -1, 3278, 3264, 3300, -1,
 3278, 3300, 3314, -1, 3314, 3300, 3334, -1, 3314, 3334, 3348, -1,
 3348, 3334, 3364, -1, 3348, 3364, 3378, -1, 3378, 3364, 3394, -1,
 3378, 3394, 3408, -1, 3408, 3394, 3423, -1, 3408, 3423, 3430, -1,
 3430, 3423, 3393, -1, 3430, 3393, 3407, -1, 3407, 3393, 3363, -1,
 3407, 3363, 3377, -1, 3377, 3363, 3333, -1, 3377, 3333, 3347, -1,
 3347, 3333, 3299, -1, 3347, 3299, 3313, -1, 3313, 3299, 3263, -1,
 3313, 3263, 3277, -1, 3277, 3263, 3218, -1, 3277, 3218, 3239, -1,
 3239, 3218, 3182, -1, 3239, 3182, 3196, -1, 3196, 3182, 3146, -1,
 3196, 3146, 3160, -1, 3160, 3146, 3110, -1, 3160, 3110, 3124, -1,
 3124, 3110, 3074, -1, 3124, 3074, 3088, -1, 3088, 3074, 3038, -1,
 3088, 3038, 3052, -1, 3052, 3038, 3021, -1, 3052, 3021, 3028, -1,
 3028, 3021, 3039, -1, 3363, 3393, 3219, -1, 3219, 3393, 3423, -1,
 3219, 3423, 3394, -1, 3263, 3299, 3219, -1, 3219, 3299, 3333, -1,
 3219, 3333, 3363, -1, 3146, 3182, 3219, -1, 3219, 3182, 3218, -1,
 3219, 3218, 3263, -1, 3038, 3074, 3219, -1, 3219, 3074, 3110, -1,
 3219, 3110, 3146, -1, 3075, 3039, 3219, -1, 3219, 3039, 3021, -1,
 3219, 3021, 3038, -1, 3183, 3147, 3219, -1, 3219, 3147, 3111, -1,
 3219, 3111, 3075, -1, 3300, 3264, 3219, -1, 3219, 3264, 3220, -1,
 3219, 3220, 3183, -1, 3394, 3364, 3219, -1, 3219, 3364, 3334, -1,
 3219, 3334, 3300, -1, 3029, 3041, 3055, -1, 3055, 3041, 3077, -1,
 3055, 3077, 3091, -1, 3091, 3077, 3113, -1, 3091, 3113, 3127, -1,
 3127, 3113, 3149, -1, 3127, 3149, 3163, -1, 3163, 3149, 3185, -1,
 3163, 3185, 3199, -1, 3199, 3185, 3223, -1, 3199, 3223, 3242, -1,
 3242, 3223, 3266, -1, 3242, 3266, 3280, -1, 3280, 3266, 3302, -1,
 3280, 3302, 3316, -1, 3316, 3302, 3336, -1, 3316, 3336, 3350, -1,
 3350, 3336, 3366, -1, 3350, 3366, 3380, -1, 3380, 3366, 3396, -1,
 3380, 3396, 3410, -1, 3410, 3396, 3424, -1, 3410, 3424, 3431, -1,
 3431, 3424, 3395, -1, 3431, 3395, 3409, -1, 3409, 3395, 3365, -1,
 3409, 3365, 3379, -1, 3379, 3365, 3335, -1, 3379, 3335, 3349, -1,
 3349, 3335, 3301, -1, 3349, 3301, 3315, -1, 3315, 3301, 3265, -1,
 3315, 3265, 3279, -1, 3279, 3265, 3221, -1, 3279, 3221, 3241, -1,
 3241, 3221, 3184, -1, 3241, 3184, 3198, -1, 3198, 3184, 3148, -1,
 3198, 3148, 3162, -1, 3162, 3148, 3112, -1, 3162, 3112, 3126, -1,
 3126, 3112, 3076, -1, 3126, 3076, 3090, -1, 3090, 3076, 3040, -1,
 3090, 3040, 3054, -1, 3054, 3040, 3022, -1, 3054, 3022, 3029, -1,
 3029, 3022, 3041, -1, 3365, 3395, 3222, -1, 3222, 3395, 3424, -1,
 3222, 3424, 3396, -1, 3265, 3301, 3222, -1, 3222, 3301, 3335, -1,
 3222, 3335, 3365, -1, 3148, 3184, 3222, -1, 3222, 3184, 3221, -1,
 3222, 3221, 3265, -1, 3040, 3076, 3222, -1, 3222, 3076, 3112, -1,
 3222, 3112, 3148, -1, 3077, 3041, 3222, -1, 3222, 3041, 3022, -1,
 3222, 3022, 3040, -1, 3185, 3149, 3222, -1, 3222, 3149, 3113, -1,
 3222, 3113, 3077, -1, 3302, 3266, 3222, -1, 3222, 3266, 3223, -1,
 3222, 3223, 3185, -1, 3396, 3366, 3222, -1, 3222, 3366, 3336, -1,
 3222, 3336, 3302, -1, 3030, 3043, 3057, -1, 3057, 3043, 3079, -1,
 3057, 3079, 3093, -1, 3093, 3079, 3115, -1, 3093, 3115, 3129, -1,
 3129, 3115, 3151, -1, 3129, 3151, 3165, -1, 3165, 3151, 3187, -1,
 3165, 3187, 3201, -1, 3201, 3187, 3226, -1, 3201, 3226, 3244, -1,
 3244, 3226, 3268, -1, 3244, 3268, 3282, -1, 3282, 3268, 3304, -1,
 3282, 3304, 3318, -1, 3318, 3304, 3338, -1, 3318, 3338, 3352, -1,
 3352, 3338, 3368, -1, 3352, 3368, 3382, -1, 3382, 3368, 3398, -1,
 3382, 3398, 3412, -1, 3412, 3398, 3425, -1, 3412, 3425, 3432, -1,
 3432, 3425, 3397, -1, 3432, 3397, 3411, -1, 3411, 3397, 3367, -1,
 3411, 3367, 3381, -1, 3381, 3367, 3337, -1, 3381, 3337, 3351, -1,
 3351, 3337, 3303, -1, 3351, 3303, 3317, -1, 3317, 3303, 3267, -1,
 3317, 3267, 3281, -1, 3281, 3267, 3224, -1, 3281, 3224, 3243, -1,
 3243, 3224, 3186, -1, 3243, 3186, 3200, -1, 3200, 3186, 3150, -1,
 3200, 3150, 3164, -1, 3164, 3150, 3114, -1, 3164, 3114, 3128, -1,
 3128, 3114, 3078, -1, 3128, 3078, 3092, -1, 3092, 3078, 3042, -1,
 3092, 3042, 3056, -1, 3056, 3042, 3023, -1, 3056, 3023, 3030, -1,
 3030, 3023, 3043, -1, 3367, 3397, 3225, -1, 3225, 3397, 3425, -1,
 3225, 3425, 3398, -1, 3267, 3303, 3225, -1, 3225, 3303, 3337, -1,
 3225, 3337, 3367, -1, 3150, 3186, 3225, -1, 3225, 3186, 3224, -1,
 3225, 3224, 3267, -1, 3042, 3078, 3225, -1, 3225, 3078, 3114, -1,
 3225, 3114, 3150, -1, 3079, 3043, 3225, -1, 3225, 3043, 3023, -1,
 3225, 3023, 3042, -1, 3187, 3151, 3225, -1, 3225, 3151, 3115, -1,
 3225, 3115, 3079, -1, 3304, 3268, 3225, -1, 3225, 3268, 3226, -1,
 3225, 3226, 3187, -1, 3398, 3368, 3225, -1, 3225, 3368, 3338, -1,
 3225, 3338, 3304, -1, 444, 576, 604, -1, 760, 920, 996, -1,
 1208, 1416, 1444, -1, 1764, 1968, 2024, -1, 2537, 2517, 2312, -1,
 1688, 2369, 2343, -1, 2537, 2312, 2557, -1, 2557, 2312, 2260, -1,
 2557, 2260, 2593, -1, 2593, 2260, 2629, -1, 2629, 2260, 2156, -1,
 2629, 2156, 2649, -1, 2649, 2156, 2052, -1, 2649, 2052, 2685, -1,
 2685, 2052, 2713, -1, 2713, 2052, 2024, -1, 2713, 2024, 2741, -1,
 2741, 2024, 1968, -1, 2741, 1968, 2776, -1, 2343, 1660, 1688, -1,
 1688, 1660, 1632, -1, 1688, 1632, 1236, -1, 1632, 1108, 1236, -1,
 1236, 1108, 1080, -1, 1236, 1080, 788, -1, 1080, 684, 788, -1,
 788, 684, 656, -1, 788, 656, 472, -1, 2397, 2369, 1864, -1,
 1864, 2369, 1688, -1, 1864, 1688, 1312, -1, 1312, 1688, 1236, -1,
 1312, 1236, 892, -1, 892, 1236, 788, -1, 892, 788, 548, -1,
 548, 788, 472, -1, 548, 472, 340, -1, 340, 472, 232, -1,
 1416, 1764, 1444, -1, 1444, 1764, 2024, -1, 1444, 2024, 1500, -1,
 1500, 2024, 2052, -1, 1500, 2052, 1604, -1, 1604, 2052, 2156, -1,
 1604, 2156, 1940, -1, 1940, 2156, 2260, -1, 1940, 2260, 2232, -1,
 2232, 2260, 2312, -1, 2232, 2312, 2492, -1, 2492, 2312, 2517, -1,
 920, 1208, 996, -1, 996, 1208, 1444, -1, 996, 1444, 1052, -1,
 1052, 1444, 1500, -1, 1052, 1500, 1340, -1, 1340, 1500, 1604, -1,
 1340, 1604, 1576, -1, 1576, 1604, 1940, -1, 1576, 1940, 2128, -1,
 2128, 1940, 2232, -1, 2128, 2232, 2456, -1, 2456, 2232, 2492, -1,
 576, 760, 604, -1, 604, 760, 996, -1, 604, 996, 864, -1,
 864, 996, 1052, -1, 864, 1052, 1024, -1, 1024, 1052, 1340, -1,
 1024, 1340, 1472, -1, 1472, 1340, 1576, -1, 1472, 1576, 1996, -1,
 1996, 1576, 2128, -1, 1996, 2128, 2425, -1, 2425, 2128, 2456, -1,
 284, 444, 340, -1, 340, 444, 604, -1, 340, 604, 548, -1,
 548, 604, 864, -1, 548, 864, 892, -1, 892, 864, 1024, -1,
 892, 1024, 1312, -1, 1312, 1024, 1472, -1, 1312, 1472, 1864, -1,
 1864, 1472, 1996, -1, 1864, 1996, 2397, -1, 2397, 1996, 2425, -1,
 656, 368, 472, -1, 472, 368, 326, -1, 472, 326, 232, -1,
 232, 326, 128, -1, 232, 128, 100, -1, 284, 340, 204, -1,
 204, 340, 232, -1, 204, 232, 72, -1, 72, 232, 100, -1,
 72, 100, 20, -1, 6, 20, 100, -1, 2343, 2329, 1660, -1,
 1660, 2329, 1646, -1, 1660, 1646, 1632, -1, 1632, 1646, 1618, -1,
 1632, 1618, 1108, -1, 1108, 1618, 1094, -1, 1108, 1094, 1080, -1,
 1080, 1094, 1066, -1, 1080, 1066, 684, -1, 684, 1066, 670, -1,
 684, 670, 656, -1, 656, 670, 642, -1, 656, 642, 368, -1,
 368, 642, 354, -1, 368, 354, 326, -1, 326, 354, 312, -1,
 326, 312, 128, -1, 128, 312, 114, -1, 128, 114, 100, -1,
 100, 114, 86, -1, 100, 86, 6, -1, 4710, 2343, 4666, -1,
 4666, 2343, 2369, -1, 2369, 2397, 4666, -1, 4666, 2397, 2425, -1,
 4666, 2425, 2456, -1, 2456, 2492, 4666, -1, 4666, 2492, 2517, -1,
 4666, 2517, 4676, -1, 4676, 2517, 2537, -1, 4676, 2537, 4634, -1,
 4634, 2537, 2557, -1, 4634, 2557, 4644, -1, 4644, 2557, 2593, -1,
 4644, 2593, 4602, -1, 4602, 2593, 2629, -1, 4602, 2629, 4612, -1,
 4612, 2629, 4568, -1, 4568, 2629, 2649, -1, 4568, 2649, 4578, -1,
 4578, 2649, 2685, -1, 4578, 2685, 4535, -1, 4535, 2685, 2713, -1,
 4535, 2713, 4536, -1, 4536, 2713, 4439, -1, 4439, 2713, 2741, -1,
 4439, 2741, 2776, -1, 1750, 1402, 1430, -1, 1194, 906, 982, -1,
 746, 562, 590, -1, 430, 270, 298, -1, 2762, 1954, 2010, -1,
 2142, 2676, 2038, -1, 2038, 2676, 2704, -1, 2038, 2704, 2010, -1,
 2010, 2704, 2724, -1, 2010, 2724, 2762, -1, 2298, 2584, 2246, -1,
 2246, 2584, 2620, -1, 2246, 2620, 2142, -1, 2142, 2620, 2640, -1,
 2142, 2640, 2676, -1, 2508, 2528, 2298, -1, 2298, 2528, 2548, -1,
 2298, 2548, 2584, -1, 2329, 2355, 1646, -1, 1646, 2355, 1674, -1,
 1646, 1674, 1618, -1, 1618, 1674, 1222, -1, 1618, 1222, 1094, -1,
 1094, 1222, 1066, -1, 1066, 1222, 774, -1, 1066, 774, 670, -1,
 670, 774, 642, -1, 642, 774, 458, -1, 642, 458, 354, -1,
 190, 58, 218, -1, 218, 58, 6, -1, 6, 86, 218, -1,
 218, 86, 114, -1, 218, 114, 458, -1, 458, 114, 312, -1,
 458, 312, 354, -1, 270, 190, 298, -1, 298, 190, 218, -1,
 298, 218, 534, -1, 534, 218, 458, -1, 534, 458, 878, -1,
 878, 458, 774, -1, 878, 774, 1298, -1, 1298, 774, 1222, -1,
 1298, 1222, 1850, -1, 1850, 1222, 1674, -1, 1850, 1674, 2380, -1,
 2380, 1674, 2355, -1, 562, 430, 590, -1, 590, 430, 298, -1,
 590, 298, 850, -1, 850, 298, 534, -1, 850, 534, 1010, -1,
 1010, 534, 878, -1, 1010, 878, 1458, -1, 1458, 878, 1298, -1,
 1458, 1298, 1982, -1, 1982, 1298, 1850, -1, 1982, 1850, 2416, -1,
 2416, 1850, 2380, -1, 906, 746, 982, -1, 982, 746, 590, -1,
 982, 590, 1038, -1, 1038, 590, 850, -1, 1038, 850, 1326, -1,
 1326, 850, 1010, -1, 1326, 1010, 1562, -1, 1562, 1010, 1458, -1,
 1562, 1458, 2114, -1, 2114, 1458, 1982, -1, 2114, 1982, 2447, -1,
 2447, 1982, 2416, -1, 1402, 1194, 1430, -1, 1430, 1194, 982, -1,
 1430, 982, 1486, -1, 1486, 982, 1038, -1, 1486, 1038, 1590, -1,
 1590, 1038, 1326, -1, 1590, 1326, 1926, -1, 1926, 1326, 1562, -1,
 1926, 1562, 2218, -1, 2218, 1562, 2114, -1, 2218, 2114, 2483, -1,
 2483, 2114, 2447, -1, 1954, 1750, 2010, -1, 2010, 1750, 1430, -1,
 2010, 1430, 2038, -1, 2038, 1430, 1486, -1, 2038, 1486, 2142, -1,
 2142, 1486, 1590, -1, 2142, 1590, 2246, -1, 2246, 1590, 1926, -1,
 2246, 1926, 2298, -1, 2298, 1926, 2218, -1, 2298, 2218, 2508, -1,
 2508, 2218, 2483, -1, 6417, 6471, 5999, -1, 5999, 6471, 6055, -1,
 5999, 6055, 5576, -1, 4536, 4439, 4853, -1, 4536, 4853, 4535, -1,
 6817, 6471, 6831, -1, 6831, 6471, 6417, -1, 6831, 6417, 6845, -1,
 5182, 5576, 5635, -1, 5635, 5576, 6055, -1, 5635, 6055, 5651, -1,
 4535, 4897, 4578, -1, 4578, 4897, 4921, -1, 4578, 4921, 4568, -1,
 5651, 6055, 6071, -1, 6071, 6055, 6471, -1, 6071, 6471, 6487, -1,
 6487, 6471, 6817, -1, 6487, 6817, 6803, -1, 4853, 5182, 5228, -1,
 5228, 5182, 5635, -1, 5228, 5635, 5244, -1, 5244, 5635, 5651, -1,
 5244, 5651, 5260, -1, 5260, 5651, 5667, -1, 5667, 5651, 6071, -1,
 5667, 6071, 6087, -1, 6087, 6071, 6487, -1, 6087, 6487, 6503, -1,
 6503, 6487, 6803, -1, 6503, 6803, 6789, -1, 4535, 4853, 4897, -1,
 4897, 4853, 5228, -1, 4897, 5228, 4921, -1, 4921, 5228, 5244, -1,
 4921, 5244, 4939, -1, 4939, 5244, 5260, -1, 4939, 5260, 4955, -1,
 4955, 5260, 5278, -1, 5278, 5260, 5667, -1, 5278, 5667, 5683, -1,
 5683, 5667, 6087, -1, 5683, 6087, 6103, -1, 6103, 6087, 6503, -1,
 6103, 6503, 6519, -1, 6519, 6503, 6789, -1, 6519, 6789, 6775, -1,
 4676, 4634, 4955, -1, 4955, 4634, 4644, -1, 4955, 4644, 4939, -1,
 4939, 4644, 4602, -1, 4939, 4602, 4921, -1, 4921, 4602, 4612, -1,
 4921, 4612, 4568, -1, 6775, 6563, 6519, -1, 6519, 6563, 6119, -1,
 6519, 6119, 6103, -1, 6103, 6119, 5699, -1, 6103, 5699, 5683, -1,
 5683, 5699, 5294, -1, 5683, 5294, 5278, -1, 5278, 5294, 4971, -1,
 5278, 4971, 4955, -1, 4955, 4971, 4666, -1, 4955, 4666, 4676, -1,
 4710, 4666, 4999, -1, 4999, 4666, 4971, -1, 4999, 4971, 5322, -1,
 5322, 4971, 5294, -1, 5322, 5294, 5727, -1, 5727, 5294, 5699, -1,
 5727, 5699, 6147, -1, 6147, 5699, 6119, -1, 6147, 6119, 6549, -1,
 6549, 6119, 6563, -1, 6549, 6563, 6761, -1, 6761, 6563, 6775, -1,
 2762, 2724, 2974, -1, 2974, 2724, 4768, -1, 2974, 4768, 4782, -1,
 2724, 2704, 4768, -1, 4768, 2704, 2676, -1, 4768, 2676, 4757, -1,
 4757, 2676, 2640, -1, 4757, 2640, 4744, -1, 2447, 2416, 4696, -1,
 2447, 4696, 2483, -1, 2640, 2620, 4744, -1, 4744, 2620, 2584, -1,
 4744, 2584, 4733, -1, 4733, 2584, 2548, -1, 4733, 2548, 4722, -1,
 4722, 2548, 2528, -1, 4722, 2528, 4696, -1, 4696, 2528, 2508, -1,
 4696, 2508, 2483, -1, 2416, 2380, 4696, -1, 4696, 2380, 2355, -1,
 4696, 2355, 2329, -1, 6761, 6747, 6549, -1, 6549, 6747, 6535, -1,
 6549, 6535, 6147, -1, 6147, 6535, 6133, -1, 6147, 6133, 5727, -1,
 5727, 6133, 5713, -1, 5727, 5713, 5322, -1, 5322, 5713, 5308, -1,
 5322, 5308, 4999, -1, 4999, 5308, 4985, -1, 4999, 4985, 4710, -1,
 4710, 4985, 4696, -1, 6757, 6743, 6545, -1, 6545, 6743, 6531, -1,
 6545, 6531, 6143, -1, 6143, 6531, 6129, -1, 6143, 6129, 5723, -1,
 5723, 6129, 5709, -1, 5723, 5709, 5318, -1, 5318, 5709, 5304, -1,
 5318, 5304, 4995, -1, 4995, 5304, 4981, -1, 4995, 4981, 4706, -1,
 4706, 4981, 4692, -1, 4706, 2339, 4687, -1, 4687, 2339, 2364, -1,
 4687, 2364, 2392, -1, 2392, 2409, 4687, -1, 4687, 2409, 2437, -1,
 4687, 2437, 2465, -1, 2465, 2473, 4687, -1, 4687, 2473, 2501, -1,
 4687, 2501, 4662, -1, 4662, 2501, 2569, -1, 4662, 2569, 4655, -1,
 4655, 2569, 2577, -1, 4655, 2577, 4630, -1, 4630, 2577, 2605, -1,
 4630, 2605, 4623, -1, 4623, 2605, 2613, -1, 4623, 2613, 4598, -1,
 4598, 2613, 2661, -1, 4598, 2661, 4589, -1, 4589, 2661, 2669, -1,
 4589, 2669, 4564, -1, 4564, 2669, 2697, -1, 4564, 2697, 4557, -1,
 4557, 2697, 4529, -1, 4529, 2697, 2736, -1, 4529, 2736, 4520, -1,
 2736, 2753, 4520, -1, 4520, 2753, 2772, -1, 4520, 2772, 4435, -1,
 2773, 2772, 1965, -1, 1965, 2772, 1964, -1, 1965, 1964, 1761, -1,
 1761, 1964, 1760, -1, 1761, 1760, 1413, -1, 1413, 1760, 1412, -1,
 1413, 1412, 1205, -1, 1205, 1412, 1204, -1, 1205, 1204, 917, -1,
 917, 1204, 916, -1, 917, 916, 757, -1, 757, 916, 756, -1,
 757, 756, 573, -1, 573, 756, 572, -1, 573, 572, 441, -1,
 441, 572, 440, -1, 441, 440, 281, -1, 281, 440, 280, -1,
 281, 280, 201, -1, 201, 280, 200, -1, 201, 200, 69, -1,
 69, 200, 68, -1, 69, 68, 17, -1, 17, 68, 16, -1,
 440, 572, 600, -1, 756, 916, 992, -1, 1204, 1412, 1440, -1,
 1760, 1964, 2020, -1, 1684, 2364, 2339, -1, 2473, 2308, 2501, -1,
 2501, 2308, 2569, -1, 2569, 2308, 2577, -1, 2577, 2308, 2256, -1,
 2577, 2256, 2605, -1, 2605, 2256, 2613, -1, 2613, 2256, 2152, -1,
 2613, 2152, 2661, -1, 2661, 2152, 2669, -1, 2669, 2152, 2048, -1,
 2669, 2048, 2697, -1, 2697, 2048, 2020, -1, 2697, 2020, 2736, -1,
 2736, 2020, 2753, -1, 2753, 2020, 1964, -1, 2753, 1964, 2772, -1,
 2339, 1656, 1684, -1, 1684, 1656, 1628, -1, 1684, 1628, 1232, -1,
 1628, 1104, 1232, -1, 1232, 1104, 1076, -1, 1232, 1076, 784, -1,
 1076, 680, 784, -1, 784, 680, 652, -1, 784, 652, 468, -1,
 2392, 2364, 1860, -1, 1860, 2364, 1684, -1, 1860, 1684, 1308, -1,
 1308, 1684, 1232, -1, 1308, 1232, 888, -1, 888, 1232, 784, -1,
 888, 784, 544, -1, 544, 784, 468, -1, 544, 468, 336, -1,
 336, 468, 228, -1, 1412, 1760, 1440, -1, 1440, 1760, 2020, -1,
 1440, 2020, 1496, -1, 1496, 2020, 2048, -1, 1496, 2048, 1600, -1,
 1600, 2048, 2152, -1, 1600, 2152, 1936, -1, 1936, 2152, 2256, -1,
 1936, 2256, 2228, -1, 2228, 2256, 2308, -1, 2228, 2308, 2465, -1,
 2465, 2308, 2473, -1, 916, 1204, 992, -1, 992, 1204, 1440, -1,
 992, 1440, 1048, -1, 1048, 1440, 1496, -1, 1048, 1496, 1336, -1,
 1336, 1496, 1600, -1, 1336, 1600, 1572, -1, 1572, 1600, 1936, -1,
 1572, 1936, 2124, -1, 2124, 1936, 2228, -1, 2124, 2228, 2437, -1,
 2437, 2228, 2465, -1, 572, 756, 600, -1, 600, 756, 992, -1,
 600, 992, 860, -1, 860, 992, 1048, -1, 860, 1048, 1020, -1,
 1020, 1048, 1336, -1, 1020, 1336, 1468, -1, 1468, 1336, 1572, -1,
 1468, 1572, 1992, -1, 1992, 1572, 2124, -1, 1992, 2124, 2409, -1,
 2409, 2124, 2437, -1, 280, 440, 336, -1, 336, 440, 600, -1,
 336, 600, 544, -1, 544, 600, 860, -1, 544, 860, 888, -1,
 888, 860, 1020, -1, 888, 1020, 1308, -1, 1308, 1020, 1468, -1,
 1308, 1468, 1860, -1, 1860, 1468, 1992, -1, 1860, 1992, 2392, -1,
 2392, 1992, 2409, -1, 652, 364, 468, -1, 468, 364, 322, -1,
 468, 322, 228, -1, 228, 322, 124, -1, 228, 124, 96, -1,
 280, 336, 200, -1, 200, 336, 228, -1, 200, 228, 68, -1,
 68, 228, 96, -1, 68, 96, 16, -1, 4696, 4985, 4722, -1,
 4722, 4985, 5017, -1, 4722, 5017, 4733, -1, 4733, 5017, 5042, -1,
 4733, 5042, 4744, -1, 4744, 5042, 5069, -1, 4744, 5069, 4757, -1,
 4757, 5069, 5097, -1, 4757, 5097, 4768, -1, 4768, 5097, 5153, -1,
 4768, 5153, 4782, -1, 4782, 5153, 5367, -1, 4985, 5308, 5017, -1,
 5017, 5308, 5350, -1, 5017, 5350, 5042, -1, 5042, 5350, 5399, -1,
 5042, 5399, 5069, -1, 5069, 5399, 5493, -1, 5069, 5493, 5097, -1,
 5097, 5493, 5801, -1, 5097, 5801, 5153, -1, 5153, 5801, 6187, -1,
 5153, 6187, 5367, -1, 5367, 6187, 7048, -1, 5308, 5713, 5350, -1,
 5350, 5713, 5769, -1, 5350, 5769, 5399, -1, 5399, 5769, 5908, -1,
 5399, 5908, 5493, -1, 5493, 5908, 6309, -1, 5493, 6309, 5801, -1,
 5801, 6309, 7121, -1, 5801, 7121, 6187, -1, 6187, 7121, 7257, -1,
 6187, 7257, 7048, -1, 7048, 7257, 7385, -1, 5713, 6133, 5769, -1,
 5769, 6133, 6204, -1, 5769, 6204, 5908, -1, 5908, 6204, 6615, -1,
 5908, 6615, 6309, -1, 6309, 6615, 7167, -1, 6309, 7167, 7121, -1,
 7121, 7167, 7335, -1, 7121, 7335, 7257, -1, 7257, 7335, 7456, -1,
 7257, 7456, 7385, -1, 7385, 7456, 7538, -1, 6133, 6535, 6204, -1,
 6204, 6535, 6713, -1, 6204, 6713, 6615, -1, 6615, 6713, 7143, -1,
 6615, 7143, 7167, -1, 7167, 7143, 7278, -1, 7167, 7278, 7335, -1,
 7335, 7278, 7400, -1, 7335, 7400, 7456, -1, 7456, 7400, 7517, -1,
 7456, 7517, 7538, -1, 7538, 7517, 7652, -1, 6535, 6747, 6713, -1,
 6713, 6747, 7069, -1, 6713, 7069, 7143, -1, 7143, 7069, 7186, -1,
 7143, 7186, 7278, -1, 7278, 7186, 7305, -1, 7278, 7305, 7400, -1,
 7400, 7305, 7424, -1, 7400, 7424, 7517, -1, 7517, 7424, 7556, -1,
 7517, 7556, 7652, -1, 7652, 7556, 7694, -1, 4687, 4662, 4967, -1,
 4655, 4630, 4951, -1, 4623, 4598, 4935, -1, 4520, 4435, 4849, -1,
 6467, 6413, 6827, -1, 6827, 6413, 6841, -1, 4849, 5178, 5224, -1,
 4520, 4849, 4893, -1, 4893, 4849, 5224, -1, 4893, 5224, 4917, -1,
 4589, 4564, 4917, -1, 4917, 4564, 4557, -1, 4917, 4557, 4893, -1,
 4893, 4557, 4529, -1, 4893, 4529, 4520, -1, 4598, 4589, 4935, -1,
 4935, 4589, 4917, -1, 4935, 4917, 5240, -1, 5240, 4917, 5224, -1,
 5240, 5224, 5631, -1, 5631, 5224, 5178, -1, 5631, 5178, 5572, -1,
 4630, 4623, 4951, -1, 4951, 4623, 4935, -1, 4951, 4935, 5256, -1,
 5256, 4935, 5240, -1, 5256, 5240, 5647, -1, 5647, 5240, 5631, -1,
 5647, 5631, 6051, -1, 6051, 5631, 5572, -1, 6051, 5572, 5995, -1,
 6785, 6771, 6515, -1, 6515, 6771, 6559, -1, 6515, 6559, 6115, -1,
 6799, 6785, 6499, -1, 6499, 6785, 6515, -1, 6499, 6515, 6099, -1,
 6099, 6515, 6115, -1, 6099, 6115, 5695, -1, 6813, 6799, 6483, -1,
 6483, 6799, 6499, -1, 6483, 6499, 6083, -1, 6083, 6499, 6099, -1,
 6083, 6099, 5679, -1, 5679, 6099, 5695, -1, 5679, 5695, 5290, -1,
 6827, 6813, 6467, -1, 6467, 6813, 6483, -1, 6467, 6483, 6067, -1,
 6067, 6483, 6083, -1, 6067, 6083, 5663, -1, 5663, 6083, 5679, -1,
 5663, 5679, 5274, -1, 5274, 5679, 5290, -1, 5274, 5290, 4967, -1,
 4662, 4655, 4967, -1, 4967, 4655, 4951, -1, 4967, 4951, 5274, -1,
 5274, 4951, 5256, -1, 5274, 5256, 5663, -1, 5663, 5256, 5647, -1,
 5663, 5647, 6067, -1, 6067, 5647, 6051, -1, 6067, 6051, 6467, -1,
 6467, 6051, 5995, -1, 6467, 5995, 6413, -1, 4706, 4687, 4995, -1,
 4995, 4687, 4967, -1, 4995, 4967, 5318, -1, 5318, 4967, 5290, -1,
 5318, 5290, 5723, -1, 5723, 5290, 5695, -1, 5723, 5695, 6143, -1,
 6143, 5695, 6115, -1, 6143, 6115, 6545, -1, 6545, 6115, 6559, -1,
 6545, 6559, 6757, -1, 6757, 6559, 6771, -1, 2711, 2739, 2021, -1,
 2021, 2739, 2773, -1, 2627, 2647, 2153, -1, 2153, 2647, 2683, -1,
 2257, 2591, 2627, -1, 2535, 2555, 2309, -1, 2309, 2555, 2591, -1,
 2535, 2309, 2515, -1, 2515, 2309, 2229, -1, 2515, 2229, 2490, -1,
 2490, 2229, 2125, -1, 2490, 2125, 2454, -1, 2454, 2125, 1993, -1,
 2454, 1993, 2423, -1, 2423, 1993, 1861, -1, 2423, 1861, 2395, -1,
 2395, 1861, 1685, -1, 2395, 1685, 2367, -1, 2367, 1685, 1657, -1,
 2367, 1657, 2340, -1, 2773, 1965, 2021, -1, 2021, 1965, 1761, -1,
 2021, 1761, 1441, -1, 1761, 1413, 1441, -1, 1441, 1413, 1205, -1,
 1441, 1205, 993, -1, 1205, 917, 993, -1, 993, 917, 757, -1,
 993, 757, 601, -1, 757, 573, 601, -1, 601, 573, 441, -1,
 601, 441, 337, -1, 17, 97, 69, -1, 69, 97, 229, -1,
 69, 229, 201, -1, 201, 229, 337, -1, 201, 337, 281, -1,
 281, 337, 441, -1, 2711, 2021, 2049, -1, 2049, 2021, 1441, -1,
 2049, 1441, 1497, -1, 1497, 1441, 993, -1, 1497, 993, 1049, -1,
 1049, 993, 601, -1, 1049, 601, 861, -1, 861, 601, 337, -1,
 861, 337, 545, -1, 545, 337, 229, -1, 545, 229, 469, -1,
 97, 125, 229, -1, 229, 125, 323, -1, 229, 323, 469, -1,
 469, 323, 365, -1, 469, 365, 653, -1, 653, 785, 469, -1,
 469, 785, 889, -1, 469, 889, 545, -1, 545, 889, 1021, -1,
 545, 1021, 861, -1, 861, 1021, 1337, -1, 861, 1337, 1049, -1,
 1049, 1337, 1601, -1, 1049, 1601, 1497, -1, 1497, 1601, 2153, -1,
 1497, 2153, 2049, -1, 2049, 2153, 2683, -1, 2049, 2683, 2711, -1,
 2627, 2153, 2257, -1, 2257, 2153, 1601, -1, 2257, 1601, 1937, -1,
 1937, 1601, 1337, -1, 1937, 1337, 1573, -1, 1573, 1337, 1021, -1,
 1573, 1021, 1469, -1, 1469, 1021, 889, -1, 1469, 889, 1309, -1,
 1309, 889, 785, -1, 1309, 785, 1233, -1, 653, 681, 785, -1,
 785, 681, 1077, -1, 785, 1077, 1233, -1, 1233, 1077, 1105, -1,
 1233, 1105, 1629, -1, 2591, 2257, 2309, -1, 2309, 2257, 1937, -1,
 2309, 1937, 2229, -1, 2229, 1937, 1573, -1, 2229, 1573, 2125, -1,
 2125, 1573, 1469, -1, 2125, 1469, 1993, -1, 1993, 1469, 1309, -1,
 1993, 1309, 1861, -1, 1861, 1309, 1233, -1, 1861, 1233, 1685, -1,
 1685, 1233, 1629, -1, 1685, 1629, 1657, -1, 2, 16, 96, -1,
 2339, 2325, 1656, -1, 1656, 2325, 1642, -1, 1656, 1642, 1628, -1,
 1628, 1642, 1614, -1, 1628, 1614, 1104, -1, 1104, 1614, 1090, -1,
 1104, 1090, 1076, -1, 1076, 1090, 1062, -1, 1076, 1062, 680, -1,
 680, 1062, 666, -1, 680, 666, 652, -1, 652, 666, 638, -1,
 652, 638, 364, -1, 364, 638, 350, -1, 364, 350, 322, -1,
 322, 350, 308, -1, 322, 308, 124, -1, 124, 308, 110, -1,
 124, 110, 96, -1, 96, 110, 82, -1, 96, 82, 2, -1,
 4438, 2775, 2740, -1, 4438, 2740, 4533, -1, 4533, 2740, 2712, -1,
 4533, 2712, 4534, -1, 4534, 2712, 2684, -1, 4534, 2684, 4577, -1,
 4577, 2684, 4567, -1, 4567, 2684, 2648, -1, 4567, 2648, 4611, -1,
 4611, 2648, 2628, -1, 4611, 2628, 4601, -1, 4601, 2628, 2592, -1,
 4601, 2592, 4643, -1, 4643, 2592, 4633, -1, 4633, 2592, 2556, -1,
 4633, 2556, 4675, -1, 4675, 2556, 2536, -1, 4675, 2536, 4665, -1,
 4665, 2536, 2516, -1, 4665, 2516, 4709, -1, 2516, 2491, 4709, -1,
 4709, 2491, 2455, -1, 4709, 2455, 2424, -1, 2424, 2396, 4709, -1,
 4709, 2396, 2368, -1, 4709, 2368, 2342, -1, 7693, 7694, 7556, -1,
 7555, 7692, 7693, -1, 7693, 7556, 7555, -1, 7555, 7556, 7424, -1,
 7555, 7424, 7423, -1, 7423, 7424, 7305, -1, 7423, 7305, 7304, -1,
 7304, 7305, 7186, -1, 7304, 7186, 7185, -1, 7185, 7186, 7069, -1,
 7185, 7069, 7068, -1, 7068, 7069, 6747, -1, 7068, 6747, 6746, -1,
 6746, 6760, 6534, -1, 6534, 6760, 6548, -1, 6534, 6548, 6132, -1,
 6132, 6548, 6146, -1, 6132, 6146, 5712, -1, 5712, 6146, 5726, -1,
 5712, 5726, 5307, -1, 5307, 5726, 5321, -1, 5307, 5321, 4984, -1,
 4984, 5321, 4998, -1, 4984, 4998, 4695, -1, 4695, 4998, 4709, -1,
 4435, 4436, 4849, -1, 4849, 4436, 4850, -1, 4849, 4850, 5178, -1,
 5178, 4850, 5179, -1, 5178, 5179, 5572, -1, 5572, 5179, 5573, -1,
 5572, 5573, 5995, -1, 5995, 5573, 5996, -1, 5995, 5996, 6413, -1,
 6413, 5996, 6414, -1, 6413, 6414, 6841, -1, 6841, 6414, 6842, -1,
 4436, 2773, 2739, -1, 4436, 2739, 4530, -1, 4530, 2739, 2711, -1,
 4530, 2711, 4531, -1, 4531, 2711, 2683, -1, 4531, 2683, 4576, -1,
 4576, 2683, 4565, -1, 4565, 2683, 2647, -1, 4565, 2647, 4610, -1,
 4610, 2647, 2627, -1, 4610, 2627, 4599, -1, 4599, 2627, 2591, -1,
 4599, 2591, 4642, -1, 4642, 2591, 4631, -1, 4631, 2591, 2555, -1,
 4631, 2555, 4674, -1, 4674, 2555, 2535, -1, 4674, 2535, 4663, -1,
 4663, 2535, 2515, -1, 4663, 2515, 4707, -1, 2515, 2490, 4707, -1,
 4707, 2490, 2454, -1, 4707, 2454, 2423, -1, 2423, 2395, 4707, -1,
 4707, 2395, 2367, -1, 4707, 2367, 2340, -1, 17, 3, 83, -1,
 2326, 2340, 1643, -1, 1643, 2340, 1657, -1, 1643, 1657, 1615, -1,
 1615, 1657, 1629, -1, 1615, 1629, 1091, -1, 1091, 1629, 1105, -1,
 1091, 1105, 1063, -1, 1063, 1105, 1077, -1, 1063, 1077, 667, -1,
 667, 1077, 681, -1, 667, 681, 639, -1, 639, 681, 653, -1,
 639, 653, 351, -1, 351, 653, 365, -1, 351, 365, 309, -1,
 309, 365, 323, -1, 309, 323, 111, -1, 111, 323, 125, -1,
 111, 125, 83, -1, 83, 125, 97, -1, 83, 97, 17, -1,
 3, 2, 55, -1, 55, 2, 54, -1, 55, 54, 187, -1,
 187, 54, 186, -1, 187, 186, 267, -1, 267, 186, 266, -1,
 267, 266, 427, -1, 427, 266, 426, -1, 427, 426, 559, -1,
 559, 426, 558, -1, 559, 558, 743, -1, 743, 558, 742, -1,
 743, 742, 903, -1, 903, 742, 902, -1, 903, 902, 1191, -1,
 1191, 902, 1190, -1, 1191, 1190, 1399, -1, 1399, 1190, 1398, -1,
 1399, 1398, 1747, -1, 1747, 1398, 1746, -1, 1747, 1746, 1951, -1,
 1951, 1746, 1950, -1, 1951, 1950, 2759, -1, 2759, 1950, 2758, -1,
 6746, 6534, 7068, -1, 7068, 6534, 6712, -1, 7068, 6712, 7185, -1,
 7185, 6712, 7142, -1, 7185, 7142, 7304, -1, 7304, 7142, 7277, -1,
 7304, 7277, 7423, -1, 7423, 7277, 7399, -1, 7423, 7399, 7555, -1,
 7555, 7399, 7516, -1, 7555, 7516, 7692, -1, 7692, 7516, 7651, -1,
 6534, 6132, 6712, -1, 6712, 6132, 6203, -1, 6712, 6203, 7142, -1,
 7142, 6203, 6614, -1, 7142, 6614, 7277, -1, 7277, 6614, 7166, -1,
 7277, 7166, 7399, -1, 7399, 7166, 7334, -1, 7399, 7334, 7516, -1,
 7516, 7334, 7455, -1, 7516, 7455, 7651, -1, 7651, 7455, 7537, -1,
 6132, 5712, 6203, -1, 6203, 5712, 5768, -1, 6203, 5768, 6614, -1,
 6614, 5768, 5907, -1, 6614, 5907, 7166, -1, 7166, 5907, 6308, -1,
 7166, 6308, 7334, -1, 7334, 6308, 7120, -1, 7334, 7120, 7455, -1,
 7455, 7120, 7256, -1, 7455, 7256, 7537, -1, 7537, 7256, 7384, -1,
 5712, 5307, 5768, -1, 5768, 5307, 5349, -1, 5768, 5349, 5907, -1,
 5907, 5349, 5398, -1, 5907, 5398, 6308, -1, 6308, 5398, 5492, -1,
 6308, 5492, 7120, -1, 7120, 5492, 5800, -1, 7120, 5800, 7256, -1,
 7256, 5800, 6186, -1, 7256, 6186, 7384, -1, 7384, 6186, 7047, -1,
 5307, 4984, 5349, -1, 5349, 4984, 5016, -1, 5349, 5016, 5398, -1,
 5398, 5016, 5041, -1, 5398, 5041, 5492, -1, 5492, 5041, 5068, -1,
 5492, 5068, 5800, -1, 5800, 5068, 5096, -1, 5800, 5096, 6186, -1,
 6186, 5096, 5152, -1, 6186, 5152, 7047, -1, 7047, 5152, 5366, -1,
 4984, 4695, 5016, -1, 5016, 4695, 4721, -1, 5016, 4721, 5041, -1,
 5041, 4721, 4732, -1, 5041, 4732, 5068, -1, 5068, 4732, 4743, -1,
 5068, 4743, 5096, -1, 5096, 4743, 4756, -1, 5096, 4756, 5152, -1,
 5152, 4756, 4767, -1, 5152, 4767, 5366, -1, 5366, 4767, 4781, -1,
 2712, 2740, 2023, -1, 2023, 2740, 2775, -1, 2628, 2648, 2155, -1,
 2155, 2648, 2684, -1, 2259, 2592, 2628, -1, 2536, 2556, 2311, -1,
 2311, 2556, 2592, -1, 2536, 2311, 2516, -1, 2516, 2311, 2231, -1,
 2516, 2231, 2491, -1, 2491, 2231, 2127, -1, 2491, 2127, 2455, -1,
 2455, 2127, 1995, -1, 2455, 1995, 2424, -1, 2424, 1995, 1863, -1,
 2424, 1863, 2396, -1, 2396, 1863, 1687, -1, 2396, 1687, 2368, -1,
 2368, 1687, 1659, -1, 2368, 1659, 2342, -1, 2775, 1967, 2023, -1,
 2023, 1967, 1763, -1, 2023, 1763, 1443, -1, 1763, 1415, 1443, -1,
 1443, 1415, 1207, -1, 1443, 1207, 995, -1, 1207, 919, 995, -1,
 995, 919, 759, -1, 995, 759, 603, -1, 759, 575, 603, -1,
 603, 575, 443, -1, 603, 443, 339, -1, 19, 99, 71, -1,
 71, 99, 231, -1, 71, 231, 203, -1, 203, 231, 339, -1,
 203, 339, 283, -1, 283, 339, 443, -1, 2712, 2023, 2051, -1,
 2051, 2023, 1443, -1, 2051, 1443, 1499, -1, 1499, 1443, 995, -1,
 1499, 995, 1051, -1, 1051, 995, 603, -1, 1051, 603, 863, -1,
 863, 603, 339, -1, 863, 339, 547, -1, 547, 339, 231, -1,
 547, 231, 471, -1, 99, 127, 231, -1, 231, 127, 325, -1,
 231, 325, 471, -1, 471, 325, 367, -1, 471, 367, 655, -1,
 655, 787, 471, -1, 471, 787, 891, -1, 471, 891, 547, -1,
 547, 891, 1023, -1, 547, 1023, 863, -1, 863, 1023, 1339, -1,
 863, 1339, 1051, -1, 1051, 1339, 1603, -1, 1051, 1603, 1499, -1,
 1499, 1603, 2155, -1, 1499, 2155, 2051, -1, 2051, 2155, 2684, -1,
 2051, 2684, 2712, -1, 2628, 2155, 2259, -1, 2259, 2155, 1603, -1,
 2259, 1603, 1939, -1, 1939, 1603, 1339, -1, 1939, 1339, 1575, -1,
 1575, 1339, 1023, -1, 1575, 1023, 1471, -1, 1471, 1023, 891, -1,
 1471, 891, 1311, -1, 1311, 891, 787, -1, 1311, 787, 1235, -1,
 655, 683, 787, -1, 787, 683, 1079, -1, 787, 1079, 1235, -1,
 1235, 1079, 1107, -1, 1235, 1107, 1631, -1, 2592, 2259, 2311, -1,
 2311, 2259, 1939, -1, 2311, 1939, 2231, -1, 2231, 1939, 1575, -1,
 2231, 1575, 2127, -1, 2127, 1575, 1471, -1, 2127, 1471, 1995, -1,
 1995, 1471, 1311, -1, 1995, 1311, 1863, -1, 1863, 1311, 1235, -1,
 1863, 1235, 1687, -1, 1687, 1235, 1631, -1, 1687, 1631, 1659, -1,
 5181, 4852, 4896, -1, 6146, 6548, 6562, -1, 4954, 4675, 4970, -1,
 4970, 4675, 4665, -1, 4970, 4665, 4709, -1, 4611, 4601, 4938, -1,
 4938, 4601, 4643, -1, 4938, 4643, 4954, -1, 4954, 4643, 4633, -1,
 4954, 4633, 4675, -1, 4611, 4938, 4567, -1, 4567, 4938, 4920, -1,
 4567, 4920, 4577, -1, 4577, 4920, 4896, -1, 4577, 4896, 4534, -1,
 6844, 6470, 6830, -1, 6830, 6470, 6486, -1, 6830, 6486, 6816, -1,
 6816, 6486, 6502, -1, 6816, 6502, 6802, -1, 6802, 6502, 6518, -1,
 6802, 6518, 6788, -1, 6788, 6518, 6562, -1, 6788, 6562, 6774, -1,
 6774, 6562, 6548, -1, 6774, 6548, 6760, -1, 6844, 6416, 6470, -1,
 6470, 6416, 6054, -1, 6470, 6054, 6486, -1, 6486, 6054, 6070, -1,
 6486, 6070, 6502, -1, 6502, 6070, 6086, -1, 6502, 6086, 6518, -1,
 6518, 6086, 6102, -1, 6518, 6102, 6562, -1, 6562, 6102, 6118, -1,
 6562, 6118, 6146, -1, 6146, 6118, 5726, -1, 6416, 5998, 6054, -1,
 6054, 5998, 5634, -1, 6054, 5634, 6070, -1, 6070, 5634, 5650, -1,
 6070, 5650, 6086, -1, 6086, 5650, 5666, -1, 6086, 5666, 6102, -1,
 6102, 5666, 5682, -1, 6102, 5682, 6118, -1, 6118, 5682, 5698, -1,
 6118, 5698, 5726, -1, 5726, 5698, 5321, -1, 5998, 5575, 5634, -1,
 5634, 5575, 5227, -1, 5634, 5227, 5650, -1, 5650, 5227, 5243, -1,
 5650, 5243, 5666, -1, 5666, 5243, 5259, -1, 5666, 5259, 5682, -1,
 5682, 5259, 5277, -1, 5682, 5277, 5698, -1, 5698, 5277, 5293, -1,
 5698, 5293, 5321, -1, 5321, 5293, 4998, -1, 5575, 5181, 5227, -1,
 5227, 5181, 4896, -1, 5227, 4896, 5243, -1, 5243, 4896, 4920, -1,
 5243, 4920, 5259, -1, 5259, 4920, 4938, -1, 5259, 4938, 5277, -1,
 5277, 4938, 4954, -1, 5277, 4954, 5293, -1, 5293, 4954, 4970, -1,
 5293, 4970, 4998, -1, 4998, 4970, 4709, -1, 4852, 4438, 4896, -1,
 4896, 4438, 4533, -1, 4896, 4533, 4534, -1, 4530, 4531, 4894, -1,
 4576, 4565, 4918, -1, 4968, 4663, 4707, -1, 6560, 6546, 6772, -1,
 6772, 6546, 6758, -1, 5724, 6144, 6116, -1, 5319, 5724, 5696, -1,
 5696, 5724, 6116, -1, 5696, 6116, 5680, -1, 4663, 4968, 4674, -1,
 4674, 4968, 4952, -1, 4674, 4952, 4631, -1, 4996, 5319, 5291, -1,
 5291, 5319, 5696, -1, 5291, 5696, 5275, -1, 5275, 5696, 5680, -1,
 5275, 5680, 5257, -1, 4631, 4952, 4642, -1, 4642, 4952, 4936, -1,
 4642, 4936, 4599, -1, 4707, 4996, 4968, -1, 4968, 4996, 5291, -1,
 4968, 5291, 4952, -1, 4952, 5291, 5275, -1, 4952, 5275, 4936, -1,
 4936, 5275, 5257, -1, 4936, 5257, 4918, -1, 4918, 4565, 4936, -1,
 4936, 4565, 4610, -1, 4936, 4610, 4599, -1, 6814, 6828, 6484, -1,
 6484, 6828, 6468, -1, 6484, 6468, 6052, -1, 6800, 6814, 6500, -1,
 6500, 6814, 6484, -1, 6500, 6484, 6068, -1, 6068, 6484, 6052, -1,
 6068, 6052, 5632, -1, 6786, 6800, 6516, -1, 6516, 6800, 6500, -1,
 6516, 6500, 6084, -1, 6084, 6500, 6068, -1, 6084, 6068, 5648, -1,
 5648, 6068, 5632, -1, 5648, 5632, 5225, -1, 6772, 6786, 6560, -1,
 6560, 6786, 6516, -1, 6560, 6516, 6100, -1, 6100, 6516, 6084, -1,
 6100, 6084, 5664, -1, 5664, 6084, 5648, -1, 5664, 5648, 5241, -1,
 5241, 5648, 5225, -1, 5241, 5225, 4894, -1, 4531, 4576, 4894, -1,
 4894, 4576, 4918, -1, 4894, 4918, 5241, -1, 5241, 4918, 5257, -1,
 5241, 5257, 5664, -1, 5664, 5257, 5680, -1, 5664, 5680, 6100, -1,
 6100, 5680, 6116, -1, 6100, 6116, 6560, -1, 6560, 6116, 6144, -1,
 6560, 6144, 6546, -1, 4436, 4530, 4850, -1, 4850, 4530, 4894, -1,
 4850, 4894, 5179, -1, 5179, 4894, 5225, -1, 5179, 5225, 5573, -1,
 5573, 5225, 5632, -1, 5573, 5632, 5996, -1, 5996, 5632, 6052, -1,
 5996, 6052, 6414, -1, 6414, 6052, 6468, -1, 6414, 6468, 6842, -1,
 6842, 6468, 6828, -1, 83, 3, 55, -1, 2295, 2480, 2215, -1,
 2215, 2480, 2444, -1, 2215, 2444, 2111, -1, 2111, 2444, 2413, -1,
 2111, 2413, 1979, -1, 1979, 2413, 2377, -1, 1979, 2377, 1847, -1,
 1847, 2377, 2352, -1, 1847, 2352, 1671, -1, 2545, 2525, 2295, -1,
 2295, 2525, 2505, -1, 2295, 2505, 2480, -1, 2617, 2581, 2243, -1,
 2243, 2581, 2545, -1, 2139, 2637, 2617, -1, 2701, 2673, 2035, -1,
 2035, 2673, 2637, -1, 2007, 2721, 2701, -1, 215, 111, 83, -1,
 83, 55, 215, -1, 215, 55, 187, -1, 215, 187, 295, -1,
 187, 267, 295, -1, 295, 267, 427, -1, 295, 427, 587, -1,
 427, 559, 587, -1, 587, 559, 743, -1, 587, 743, 979, -1,
 743, 903, 979, -1, 979, 903, 1191, -1, 979, 1191, 1427, -1,
 2759, 2721, 1951, -1, 1951, 2721, 2007, -1, 1951, 2007, 1747, -1,
 1747, 2007, 1427, -1, 1747, 1427, 1399, -1, 1399, 1427, 1191, -1,
 455, 351, 309, -1, 2701, 2035, 2007, -1, 2007, 2035, 1483, -1,
 2007, 1483, 1427, -1, 1427, 1483, 1035, -1, 1427, 1035, 979, -1,
 979, 1035, 847, -1, 979, 847, 587, -1, 587, 847, 531, -1,
 587, 531, 295, -1, 295, 531, 455, -1, 295, 455, 215, -1,
 215, 455, 309, -1, 215, 309, 111, -1, 771, 667, 639, -1,
 2637, 2139, 2035, -1, 2035, 2139, 1587, -1, 2035, 1587, 1483, -1,
 1483, 1587, 1323, -1, 1483, 1323, 1035, -1, 1035, 1323, 1007, -1,
 1035, 1007, 847, -1, 847, 1007, 875, -1, 847, 875, 531, -1,
 531, 875, 771, -1, 531, 771, 455, -1, 455, 771, 639, -1,
 455, 639, 351, -1, 1219, 1091, 1063, -1, 2617, 2243, 2139, -1,
 2139, 2243, 1923, -1, 2139, 1923, 1587, -1, 1587, 1923, 1559, -1,
 1587, 1559, 1323, -1, 1323, 1559, 1455, -1, 1323, 1455, 1007, -1,
 1007, 1455, 1295, -1, 1007, 1295, 875, -1, 875, 1295, 1219, -1,
 875, 1219, 771, -1, 771, 1219, 1063, -1, 771, 1063, 667, -1,
 2352, 2326, 1671, -1, 1671, 2326, 1643, -1, 1671, 1643, 1615, -1,
 2545, 2295, 2243, -1, 2243, 2295, 2215, -1, 2243, 2215, 1923, -1,
 1923, 2215, 2111, -1, 1923, 2111, 1559, -1, 1559, 2111, 1979, -1,
 1559, 1979, 1455, -1, 1455, 1979, 1847, -1, 1455, 1847, 1295, -1,
 1295, 1847, 1671, -1, 1295, 1671, 1219, -1, 1219, 1671, 1615, -1,
 1219, 1615, 1091, -1, 2703, 4767, 4756, -1, 2973, 4781, 4767, -1,
 4767, 2703, 2973, -1, 2973, 2703, 2723, -1, 2973, 2723, 2761, -1,
 2619, 2639, 4756, -1, 4756, 2639, 2675, -1, 4756, 2675, 2703, -1,
 4756, 4743, 2619, -1, 2619, 4743, 4732, -1, 2619, 4732, 2583, -1,
 4721, 2527, 4732, -1, 4732, 2527, 2547, -1, 4732, 2547, 2583, -1,
 4695, 2328, 4721, -1, 4721, 2328, 2354, -1, 2354, 2379, 4721, -1,
 4721, 2379, 2415, -1, 4721, 2415, 2446, -1, 2446, 2482, 4721, -1,
 4721, 2482, 2507, -1, 4721, 2507, 2527, -1, 19, 5, 85, -1,
 2328, 2342, 1645, -1, 1645, 2342, 1659, -1, 1645, 1659, 1617, -1,
 1617, 1659, 1631, -1, 1617, 1631, 1093, -1, 1093, 1631, 1107, -1,
 1093, 1107, 1065, -1, 1065, 1107, 1079, -1, 1065, 1079, 669, -1,
 669, 1079, 683, -1, 669, 683, 641, -1, 641, 683, 655, -1,
 641, 655, 353, -1, 353, 655, 367, -1, 353, 367, 311, -1,
 311, 367, 325, -1, 311, 325, 113, -1, 113, 325, 127, -1,
 113, 127, 85, -1, 85, 127, 99, -1, 85, 99, 19, -1,
 2775, 2774, 1967, -1, 1967, 2774, 1966, -1, 1967, 1966, 1763, -1,
 1763, 1966, 1762, -1, 1763, 1762, 1415, -1, 1415, 1762, 1414, -1,
 1415, 1414, 1207, -1, 1207, 1414, 1206, -1, 1207, 1206, 919, -1,
 919, 1206, 918, -1, 919, 918, 759, -1, 759, 918, 758, -1,
 759, 758, 575, -1, 575, 758, 574, -1, 575, 574, 443, -1,
 443, 574, 442, -1, 443, 442, 283, -1, 283, 442, 282, -1,
 283, 282, 203, -1, 203, 282, 202, -1, 203, 202, 71, -1,
 71, 202, 70, -1, 71, 70, 19, -1, 19, 70, 18, -1,
 4708, 2341, 4688, -1, 4688, 2341, 2365, -1, 4688, 2365, 2393, -1,
 2393, 2410, 4688, -1, 4688, 2410, 2438, -1, 4688, 2438, 2466, -1,
 2466, 2474, 4688, -1, 4688, 2474, 2502, -1, 4688, 2502, 4664, -1,
 4664, 2502, 2570, -1, 4664, 2570, 4656, -1, 4656, 2570, 2578, -1,
 4656, 2578, 4632, -1, 4632, 2578, 2606, -1, 4632, 2606, 4624, -1,
 4624, 2606, 2614, -1, 4624, 2614, 4600, -1, 4600, 2614, 2662, -1,
 4600, 2662, 4590, -1, 4590, 2662, 2670, -1, 4590, 2670, 4566, -1,
 4566, 2670, 2698, -1, 4566, 2698, 4558, -1, 4558, 2698, 4532, -1,
 4532, 2698, 2737, -1, 4532, 2737, 4521, -1, 2737, 2754, 4521, -1,
 4521, 2754, 2774, -1, 4521, 2774, 4437, -1, 4437, 4438, 4851, -1,
 4851, 4438, 4852, -1, 4851, 4852, 5180, -1, 5180, 4852, 5181, -1,
 5180, 5181, 5574, -1, 5574, 5181, 5575, -1, 5574, 5575, 5997, -1,
 5997, 5575, 5998, -1, 5997, 5998, 6415, -1, 6415, 5998, 6416, -1,
 6415, 6416, 6843, -1, 6843, 6416, 6844, -1, 6744, 6758, 6532, -1,
 6532, 6758, 6546, -1, 6532, 6546, 6130, -1, 6130, 6546, 6144, -1,
 6130, 6144, 5710, -1, 5710, 6144, 5724, -1, 5710, 5724, 5305, -1,
 5305, 5724, 5319, -1, 5305, 5319, 4982, -1, 4982, 5319, 4996, -1,
 4982, 4996, 4693, -1, 4693, 4996, 4707, -1, 2971, 4779, 4777, -1,
 2759, 2971, 2721, -1, 2721, 2971, 4777, -1, 2721, 4777, 2701, -1,
 4777, 4774, 2701, -1, 2701, 4774, 4764, -1, 2701, 4764, 2673, -1,
 2673, 4764, 4763, -1, 2673, 4763, 2637, -1, 2637, 4763, 4751, -1,
 2637, 4751, 2617, -1, 4729, 4728, 2525, -1, 4729, 2525, 4739, -1,
 4751, 4750, 2617, -1, 2617, 4750, 4740, -1, 2617, 4740, 2581, -1,
 2581, 4740, 4739, -1, 2581, 4739, 2545, -1, 2545, 4739, 2525, -1,
 4718, 4693, 2326, -1, 2413, 2444, 4728, -1, 2413, 4728, 2377, -1,
 4718, 2326, 4728, -1, 4728, 2326, 2352, -1, 4728, 2352, 2377, -1,
 2444, 2480, 4728, -1, 4728, 2480, 2505, -1, 4728, 2505, 2525, -1,
 85, 5, 57, -1, 2297, 2482, 2217, -1, 2217, 2482, 2446, -1,
 2217, 2446, 2113, -1, 2113, 2446, 2415, -1, 2113, 2415, 1981, -1,
 1981, 2415, 2379, -1, 1981, 2379, 1849, -1, 1849, 2379, 2354, -1,
 1849, 2354, 1673, -1, 2547, 2527, 2297, -1, 2297, 2527, 2507, -1,
 2297, 2507, 2482, -1, 2619, 2583, 2245, -1, 2245, 2583, 2547, -1,
 2141, 2639, 2619, -1, 2703, 2675, 2037, -1, 2037, 2675, 2639, -1,
 2009, 2723, 2703, -1, 217, 113, 85, -1, 85, 57, 217, -1,
 217, 57, 189, -1, 217, 189, 297, -1, 189, 269, 297, -1,
 297, 269, 429, -1, 297, 429, 589, -1, 429, 561, 589, -1,
 589, 561, 745, -1, 589, 745, 981, -1, 745, 905, 981, -1,
 981, 905, 1193, -1, 981, 1193, 1429, -1, 2761, 2723, 1953, -1,
 1953, 2723, 2009, -1, 1953, 2009, 1749, -1, 1749, 2009, 1429, -1,
 1749, 1429, 1401, -1, 1401, 1429, 1193, -1, 457, 353, 311, -1,
 2703, 2037, 2009, -1, 2009, 2037, 1485, -1, 2009, 1485, 1429, -1,
 1429, 1485, 1037, -1, 1429, 1037, 981, -1, 981, 1037, 849, -1,
 981, 849, 589, -1, 589, 849, 533, -1, 589, 533, 297, -1,
 297, 533, 457, -1, 297, 457, 217, -1, 217, 457, 311, -1,
 217, 311, 113, -1, 773, 669, 641, -1, 2639, 2141, 2037, -1,
 2037, 2141, 1589, -1, 2037, 1589, 1485, -1, 1485, 1589, 1325, -1,
 1485, 1325, 1037, -1, 1037, 1325, 1009, -1, 1037, 1009, 849, -1,
 849, 1009, 877, -1, 849, 877, 533, -1, 533, 877, 773, -1,
 533, 773, 457, -1, 457, 773, 641, -1, 457, 641, 353, -1,
 1221, 1093, 1065, -1, 2619, 2245, 2141, -1, 2141, 2245, 1925, -1,
 2141, 1925, 1589, -1, 1589, 1925, 1561, -1, 1589, 1561, 1325, -1,
 1325, 1561, 1457, -1, 1325, 1457, 1009, -1, 1009, 1457, 1297, -1,
 1009, 1297, 877, -1, 877, 1297, 1221, -1, 877, 1221, 773, -1,
 773, 1221, 1065, -1, 773, 1065, 669, -1, 2354, 2328, 1673, -1,
 1673, 2328, 1645, -1, 1673, 1645, 1617, -1, 2547, 2297, 2245, -1,
 2245, 2297, 2217, -1, 2245, 2217, 1925, -1, 1925, 2217, 2113, -1,
 1925, 2113, 1561, -1, 1561, 2113, 1981, -1, 1561, 1981, 1457, -1,
 1457, 1981, 1849, -1, 1457, 1849, 1297, -1, 1297, 1849, 1673, -1,
 1297, 1673, 1221, -1, 1221, 1673, 1617, -1, 1221, 1617, 1093, -1,
 442, 574, 602, -1, 758, 918, 994, -1, 1206, 1414, 1442, -1,
 1762, 1966, 2022, -1, 1686, 2365, 2341, -1, 2474, 2310, 2502, -1,
 2502, 2310, 2570, -1, 2570, 2310, 2578, -1, 2578, 2310, 2258, -1,
 2578, 2258, 2606, -1, 2606, 2258, 2614, -1, 2614, 2258, 2154, -1,
 2614, 2154, 2662, -1, 2662, 2154, 2670, -1, 2670, 2154, 2050, -1,
 2670, 2050, 2698, -1, 2698, 2050, 2022, -1, 2698, 2022, 2737, -1,
 2737, 2022, 2754, -1, 2754, 2022, 1966, -1, 2754, 1966, 2774, -1,
 2341, 1658, 1686, -1, 1686, 1658, 1630, -1, 1686, 1630, 1234, -1,
 1630, 1106, 1234, -1, 1234, 1106, 1078, -1, 1234, 1078, 786, -1,
 1078, 682, 786, -1, 786, 682, 654, -1, 786, 654, 470, -1,
 2393, 2365, 1862, -1, 1862, 2365, 1686, -1, 1862, 1686, 1310, -1,
 1310, 1686, 1234, -1, 1310, 1234, 890, -1, 890, 1234, 786, -1,
 890, 786, 546, -1, 546, 786, 470, -1, 546, 470, 338, -1,
 338, 470, 230, -1, 1414, 1762, 1442, -1, 1442, 1762, 2022, -1,
 1442, 2022, 1498, -1, 1498, 2022, 2050, -1, 1498, 2050, 1602, -1,
 1602, 2050, 2154, -1, 1602, 2154, 1938, -1, 1938, 2154, 2258, -1,
 1938, 2258, 2230, -1, 2230, 2258, 2310, -1, 2230, 2310, 2466, -1,
 2466, 2310, 2474, -1, 918, 1206, 994, -1, 994, 1206, 1442, -1,
 994, 1442, 1050, -1, 1050, 1442, 1498, -1, 1050, 1498, 1338, -1,
 1338, 1498, 1602, -1, 1338, 1602, 1574, -1, 1574, 1602, 1938, -1,
 1574, 1938, 2126, -1, 2126, 1938, 2230, -1, 2126, 2230, 2438, -1,
 2438, 2230, 2466, -1, 574, 758, 602, -1, 602, 758, 994, -1,
 602, 994, 862, -1, 862, 994, 1050, -1, 862, 1050, 1022, -1,
 1022, 1050, 1338, -1, 1022, 1338, 1470, -1, 1470, 1338, 1574, -1,
 1470, 1574, 1994, -1, 1994, 1574, 2126, -1, 1994, 2126, 2410, -1,
 2410, 2126, 2438, -1, 282, 442, 338, -1, 338, 442, 602, -1,
 338, 602, 546, -1, 546, 602, 862, -1, 546, 862, 890, -1,
 890, 862, 1022, -1, 890, 1022, 1310, -1, 1310, 1022, 1470, -1,
 1310, 1470, 1862, -1, 1862, 1470, 1994, -1, 1862, 1994, 2393, -1,
 2393, 1994, 2410, -1, 654, 366, 470, -1, 470, 366, 324, -1,
 470, 324, 230, -1, 230, 324, 126, -1, 230, 126, 98, -1,
 282, 338, 202, -1, 202, 338, 230, -1, 202, 230, 70, -1,
 70, 230, 98, -1, 70, 98, 18, -1, 4688, 4664, 4969, -1,
 4656, 4632, 4953, -1, 4624, 4600, 4937, -1, 4521, 4437, 4851, -1,
 6469, 6415, 6829, -1, 6829, 6415, 6843, -1, 4851, 5180, 5226, -1,
 4521, 4851, 4895, -1, 4895, 4851, 5226, -1, 4895, 5226, 4919, -1,
 4590, 4566, 4919, -1, 4919, 4566, 4558, -1, 4919, 4558, 4895, -1,
 4895, 4558, 4532, -1, 4895, 4532, 4521, -1, 4600, 4590, 4937, -1,
 4937, 4590, 4919, -1, 4937, 4919, 5242, -1, 5242, 4919, 5226, -1,
 5242, 5226, 5633, -1, 5633, 5226, 5180, -1, 5633, 5180, 5574, -1,
 4632, 4624, 4953, -1, 4953, 4624, 4937, -1, 4953, 4937, 5258, -1,
 5258, 4937, 5242, -1, 5258, 5242, 5649, -1, 5649, 5242, 5633, -1,
 5649, 5633, 6053, -1, 6053, 5633, 5574, -1, 6053, 5574, 5997, -1,
 6787, 6773, 6517, -1, 6517, 6773, 6561, -1, 6517, 6561, 6117, -1,
 6801, 6787, 6501, -1, 6501, 6787, 6517, -1, 6501, 6517, 6101, -1,
 6101, 6517, 6117, -1, 6101, 6117, 5697, -1, 6815, 6801, 6485, -1,
 6485, 6801, 6501, -1, 6485, 6501, 6085, -1, 6085, 6501, 6101, -1,
 6085, 6101, 5681, -1, 5681, 6101, 5697, -1, 5681, 5697, 5292, -1,
 6829, 6815, 6469, -1, 6469, 6815, 6485, -1, 6469, 6485, 6069, -1,
 6069, 6485, 6085, -1, 6069, 6085, 5665, -1, 5665, 6085, 5681, -1,
 5665, 5681, 5276, -1, 5276, 5681, 5292, -1, 5276, 5292, 4969, -1,
 4664, 4656, 4969, -1, 4969, 4656, 4953, -1, 4969, 4953, 5276, -1,
 5276, 4953, 5258, -1, 5276, 5258, 5665, -1, 5665, 5258, 5649, -1,
 5665, 5649, 6069, -1, 6069, 5649, 6053, -1, 6069, 6053, 6469, -1,
 6469, 6053, 5997, -1, 6469, 5997, 6415, -1, 4708, 4688, 4997, -1,
 4997, 4688, 4969, -1, 4997, 4969, 5320, -1, 5320, 4969, 5292, -1,
 5320, 5292, 5725, -1, 5725, 5292, 5697, -1, 5725, 5697, 6145, -1,
 6145, 5697, 6117, -1, 6145, 6117, 6547, -1, 6547, 6117, 6561, -1,
 6547, 6561, 6759, -1, 6759, 6561, 6773, -1, 5011, 4982, 4693, -1,
 6744, 6532, 7042, -1, 7042, 6532, 6676, -1, 7042, 6676, 7094, -1,
 7094, 6676, 7109, -1, 4693, 4718, 5011, -1, 5011, 4718, 4728, -1,
 5011, 4728, 5034, -1, 7228, 7205, 7109, -1, 7109, 7205, 7149, -1,
 7109, 7149, 7094, -1, 4728, 4729, 5034, -1, 5034, 4729, 4739, -1,
 5034, 4739, 5054, -1, 7353, 7322, 7228, -1, 7228, 7322, 7238, -1,
 7228, 7238, 7205, -1, 4739, 4740, 5054, -1, 5054, 4740, 4750, -1,
 5054, 4750, 5081, -1, 7574, 7476, 7452, -1, 7452, 7476, 7444, -1,
 7452, 7444, 7353, -1, 7353, 7444, 7357, -1, 7353, 7357, 7322, -1,
 6532, 6130, 6676, -1, 6676, 6130, 6183, -1, 6676, 6183, 7109, -1,
 7109, 6183, 6354, -1, 7109, 6354, 7228, -1, 7228, 6354, 7102, -1,
 7228, 7102, 7353, -1, 7353, 7102, 7234, -1, 7353, 7234, 7452, -1,
 7452, 7234, 7356, -1, 6130, 5710, 6183, -1, 6183, 5710, 5753, -1,
 6183, 5753, 6354, -1, 6354, 5753, 5839, -1, 6354, 5839, 7102, -1,
 7102, 5839, 6163, -1, 7102, 6163, 7234, -1, 7234, 6163, 6611, -1,
 7234, 6611, 7356, -1, 7356, 6611, 7161, -1, 5710, 5305, 5753, -1,
 5753, 5305, 5344, -1, 5753, 5344, 5839, -1, 5839, 5344, 5375, -1,
 5839, 5375, 6163, -1, 6163, 5375, 5447, -1, 6163, 5447, 6611, -1,
 6611, 5447, 5622, -1, 6611, 5622, 7161, -1, 7161, 5622, 5901, -1,
 5305, 4982, 5344, -1, 5344, 4982, 5011, -1, 5344, 5011, 5375, -1,
 5375, 5011, 5034, -1, 5375, 5034, 5447, -1, 5447, 5034, 5054, -1,
 5447, 5054, 5622, -1, 5622, 5054, 5081, -1, 5622, 5081, 5901, -1,
 5901, 5081, 5107, -1, 7690, 7606, 7524, -1, 7524, 7606, 7574, -1,
 4750, 4751, 5081, -1, 5081, 4751, 4763, -1, 5081, 4763, 5107, -1,
 5107, 4763, 4764, -1, 5107, 4764, 4774, -1, 7574, 7452, 7524, -1,
 7524, 7452, 7356, -1, 7524, 7356, 7475, -1, 7475, 7356, 7161, -1,
 7475, 7161, 7287, -1, 7287, 7161, 5901, -1, 7287, 5901, 6246, -1,
 6246, 5901, 5107, -1, 6246, 5107, 5161, -1, 5161, 5107, 4774, -1,
 5161, 4774, 4777, -1, 7690, 7524, 7649, -1, 7649, 7524, 7475, -1,
 7649, 7475, 7535, -1, 7535, 7475, 7287, -1, 7535, 7287, 7382, -1,
 7382, 7287, 6246, -1, 7382, 6246, 7045, -1, 7045, 6246, 5161, -1,
 7045, 5161, 5364, -1, 5364, 5161, 4777, -1, 5364, 4777, 4779, -1,
 5, 4, 57, -1, 57, 4, 56, -1, 57, 56, 189, -1,
 189, 56, 188, -1, 189, 188, 269, -1, 269, 188, 268, -1,
 269, 268, 429, -1, 429, 268, 428, -1, 429, 428, 561, -1,
 561, 428, 560, -1, 561, 560, 745, -1, 745, 560, 744, -1,
 745, 744, 905, -1, 905, 744, 904, -1, 905, 904, 1193, -1,
 1193, 904, 1192, -1, 1193, 1192, 1401, -1, 1401, 1192, 1400, -1,
 1401, 1400, 1749, -1, 1749, 1400, 1748, -1, 1749, 1748, 1953, -1,
 1953, 1748, 1952, -1, 1953, 1952, 2761, -1, 2761, 1952, 2760, -1,
 4, 18, 98, -1, 2341, 2327, 1658, -1, 1658, 2327, 1644, -1,
 1658, 1644, 1630, -1, 1630, 1644, 1616, -1, 1630, 1616, 1106, -1,
 1106, 1616, 1092, -1, 1106, 1092, 1078, -1, 1078, 1092, 1064, -1,
 1078, 1064, 682, -1, 682, 1064, 668, -1, 682, 668, 654, -1,
 654, 668, 640, -1, 654, 640, 366, -1, 366, 640, 352, -1,
 366, 352, 324, -1, 324, 352, 310, -1, 324, 310, 126, -1,
 126, 310, 112, -1, 126, 112, 98, -1, 98, 112, 84, -1,
 98, 84, 4, -1, 6759, 6745, 6547, -1, 6547, 6745, 6533, -1,
 6547, 6533, 6145, -1, 6145, 6533, 6131, -1, 6145, 6131, 5725, -1,
 5725, 6131, 5711, -1, 5725, 5711, 5320, -1, 5320, 5711, 5306, -1,
 5320, 5306, 4997, -1, 4997, 5306, 4983, -1, 4997, 4983, 4708, -1,
 4708, 4983, 4694, -1, 7690, 7691, 7606, -1, 7606, 7691, 7554, -1,
 7606, 7554, 7574, -1, 7574, 7554, 7476, -1, 7476, 7554, 7422, -1,
 7476, 7422, 7444, -1, 7444, 7422, 7357, -1, 7357, 7422, 7303, -1,
 7357, 7303, 7322, -1, 7322, 7303, 7238, -1, 7238, 7303, 7184, -1,
 7238, 7184, 7205, -1, 7205, 7184, 7149, -1, 7149, 7184, 7067, -1,
 7149, 7067, 7094, -1, 7094, 7067, 7042, -1, 7042, 7067, 6745, -1,
 7042, 6745, 6744, -1, 1748, 1400, 1428, -1, 1192, 904, 980, -1,
 744, 560, 588, -1, 428, 268, 296, -1, 2760, 1952, 2008, -1,
 2140, 2674, 2036, -1, 2036, 2674, 2702, -1, 2036, 2702, 2008, -1,
 2008, 2702, 2722, -1, 2008, 2722, 2760, -1, 2296, 2582, 2244, -1,
 2244, 2582, 2618, -1, 2244, 2618, 2140, -1, 2140, 2618, 2638, -1,
 2140, 2638, 2674, -1, 2506, 2526, 2296, -1, 2296, 2526, 2546, -1,
 2296, 2546, 2582, -1, 2327, 2353, 1644, -1, 1644, 2353, 1672, -1,
 1644, 1672, 1616, -1, 1616, 1672, 1220, -1, 1616, 1220, 1092, -1,
 1092, 1220, 1064, -1, 1064, 1220, 772, -1, 1064, 772, 668, -1,
 456, 352, 772, -1, 772, 352, 640, -1, 772, 640, 668, -1,
 188, 56, 216, -1, 216, 56, 4, -1, 4, 84, 216, -1,
 216, 84, 112, -1, 216, 112, 456, -1, 456, 112, 310, -1,
 456, 310, 352, -1, 268, 188, 296, -1, 296, 188, 216, -1,
 296, 216, 532, -1, 532, 216, 456, -1, 532, 456, 876, -1,
 876, 456, 772, -1, 876, 772, 1296, -1, 1296, 772, 1220, -1,
 1296, 1220, 1848, -1, 1848, 1220, 1672, -1, 1848, 1672, 2378, -1,
 2378, 1672, 2353, -1, 560, 428, 588, -1, 588, 428, 296, -1,
 588, 296, 848, -1, 848, 296, 532, -1, 848, 532, 1008, -1,
 1008, 532, 876, -1, 1008, 876, 1456, -1, 1456, 876, 1296, -1,
 1456, 1296, 1980, -1, 1980, 1296, 1848, -1, 1980, 1848, 2414, -1,
 2414, 1848, 2378, -1, 904, 744, 980, -1, 980, 744, 588, -1,
 980, 588, 1036, -1, 1036, 588, 848, -1, 1036, 848, 1324, -1,
 1324, 848, 1008, -1, 1324, 1008, 1560, -1, 1560, 1008, 1456, -1,
 1560, 1456, 2112, -1, 2112, 1456, 1980, -1, 2112, 1980, 2445, -1,
 2445, 1980, 2414, -1, 1400, 1192, 1428, -1, 1428, 1192, 980, -1,
 1428, 980, 1484, -1, 1484, 980, 1036, -1, 1484, 1036, 1588, -1,
 1588, 1036, 1324, -1, 1588, 1324, 1924, -1, 1924, 1324, 1560, -1,
 1924, 1560, 2216, -1, 2216, 1560, 2112, -1, 2216, 2112, 2481, -1,
 2481, 2112, 2445, -1, 1952, 1748, 2008, -1, 2008, 1748, 1428, -1,
 2008, 1428, 2036, -1, 2036, 1428, 1484, -1, 2036, 1484, 2140, -1,
 2140, 1484, 1588, -1, 2140, 1588, 2244, -1, 2244, 1588, 1924, -1,
 2244, 1924, 2296, -1, 2296, 1924, 2216, -1, 2296, 2216, 2506, -1,
 2506, 2216, 2481, -1, 4694, 4983, 4720, -1, 4720, 4983, 5015, -1,
 4720, 5015, 4731, -1, 4731, 5015, 5040, -1, 4731, 5040, 4742, -1,
 4742, 5040, 5067, -1, 4742, 5067, 4755, -1, 4755, 5067, 5095, -1,
 4755, 5095, 4766, -1, 4766, 5095, 5151, -1, 4766, 5151, 4780, -1,
 4780, 5151, 5365, -1, 4983, 5306, 5015, -1, 5015, 5306, 5348, -1,
 5015, 5348, 5040, -1, 5040, 5348, 5397, -1, 5040, 5397, 5067, -1,
 5067, 5397, 5491, -1, 5067, 5491, 5095, -1, 5095, 5491, 5799, -1,
 5095, 5799, 5151, -1, 5151, 5799, 6185, -1, 5151, 6185, 5365, -1,
 5365, 6185, 7046, -1, 5306, 5711, 5348, -1, 5348, 5711, 5767, -1,
 5348, 5767, 5397, -1, 5397, 5767, 5906, -1, 5397, 5906, 5491, -1,
 5491, 5906, 6307, -1, 5491, 6307, 5799, -1, 5799, 6307, 7119, -1,
 5799, 7119, 6185, -1, 6185, 7119, 7255, -1, 6185, 7255, 7046, -1,
 7046, 7255, 7383, -1, 5711, 6131, 5767, -1, 5767, 6131, 6202, -1,
 5767, 6202, 5906, -1, 5906, 6202, 6613, -1, 5906, 6613, 6307, -1,
 6307, 6613, 7165, -1, 6307, 7165, 7119, -1, 7119, 7165, 7333, -1,
 7119, 7333, 7255, -1, 7255, 7333, 7454, -1, 7255, 7454, 7383, -1,
 7383, 7454, 7536, -1, 6131, 6533, 6202, -1, 6202, 6533, 6711, -1,
 6202, 6711, 6613, -1, 6613, 6711, 7141, -1, 6613, 7141, 7165, -1,
 7165, 7141, 7276, -1, 7165, 7276, 7333, -1, 7333, 7276, 7398, -1,
 7333, 7398, 7454, -1, 7454, 7398, 7515, -1, 7454, 7515, 7536, -1,
 7536, 7515, 7650, -1, 6533, 6745, 6711, -1, 6711, 6745, 7067, -1,
 6711, 7067, 7141, -1, 7141, 7067, 7184, -1, 7141, 7184, 7276, -1,
 7276, 7184, 7303, -1, 7276, 7303, 7398, -1, 7398, 7303, 7422, -1,
 7398, 7422, 7515, -1, 7515, 7422, 7554, -1, 7515, 7554, 7650, -1,
 7650, 7554, 7691, -1, 2760, 2722, 2972, -1, 2972, 2722, 4766, -1,
 2972, 4766, 4780, -1, 2722, 2702, 4766, -1, 4766, 2702, 2674, -1,
 4766, 2674, 4755, -1, 4755, 2674, 2638, -1, 4755, 2638, 4742, -1,
 2445, 2414, 4694, -1, 2445, 4694, 2481, -1, 2638, 2618, 4742, -1,
 4742, 2618, 2582, -1, 4742, 2582, 4731, -1, 4731, 2582, 2546, -1,
 4731, 2546, 4720, -1, 4720, 2546, 2526, -1, 4720, 2526, 4694, -1,
 4694, 2526, 2506, -1, 4694, 2506, 2481, -1, 2414, 2378, 4694, -1,
 4694, 2378, 2353, -1, 4694, 2353, 2327, -1, 2363, 2338, 4705, -1,
 2771, 2752, 4434, -1, 4434, 2752, 4519, -1, 4519, 2752, 4528, -1,
 4528, 2752, 2735, -1, 4528, 2735, 4556, -1, 4556, 2735, 2696, -1,
 4556, 2696, 4563, -1, 4563, 2696, 2668, -1, 4563, 2668, 4588, -1,
 2363, 4705, 2391, -1, 4588, 2668, 4597, -1, 4597, 2668, 2660, -1,
 4597, 2660, 4622, -1, 4622, 2660, 2612, -1, 4622, 2612, 4629, -1,
 4629, 2612, 2604, -1, 4629, 2604, 4654, -1, 4654, 2604, 2576, -1,
 4654, 2576, 4661, -1, 4661, 2576, 2568, -1, 4661, 2568, 4686, -1,
 4686, 2568, 2500, -1, 4686, 2500, 4705, -1, 4705, 2500, 2472, -1,
 4705, 2472, 2464, -1, 2464, 2436, 4705, -1, 4705, 2436, 2408, -1,
 4705, 2408, 2391, -1, 2771, 2770, 1963, -1, 1963, 2770, 1962, -1,
 1963, 1962, 1759, -1, 1759, 1962, 1758, -1, 1759, 1758, 1411, -1,
 1411, 1758, 1410, -1, 1411, 1410, 1203, -1, 1203, 1410, 1202, -1,
 1203, 1202, 915, -1, 915, 1202, 914, -1, 915, 914, 755, -1,
 755, 914, 754, -1, 755, 754, 571, -1, 571, 754, 570, -1,
 571, 570, 439, -1, 439, 570, 438, -1, 439, 438, 279, -1,
 279, 438, 278, -1, 279, 278, 199, -1, 199, 278, 198, -1,
 199, 198, 67, -1, 67, 198, 66, -1, 67, 66, 15, -1,
 15, 66, 14, -1, 4704, 2337, 4685, -1, 4685, 2337, 2362, -1,
 4685, 2362, 2390, -1, 2390, 2407, 4685, -1, 4685, 2407, 2435, -1,
 4685, 2435, 2463, -1, 2463, 2471, 4685, -1, 4685, 2471, 2499, -1,
 4685, 2499, 4660, -1, 4660, 2499, 2567, -1, 4660, 2567, 4653, -1,
 4653, 2567, 2575, -1, 4653, 2575, 4628, -1, 4628, 2575, 2603, -1,
 4628, 2603, 4621, -1, 4621, 2603, 2611, -1, 4621, 2611, 4596, -1,
 4596, 2611, 2659, -1, 4596, 2659, 4587, -1, 4587, 2659, 2667, -1,
 4587, 2667, 4562, -1, 4562, 2667, 2695, -1, 4562, 2695, 4555, -1,
 4555, 2695, 4527, -1, 4527, 2695, 2734, -1, 4527, 2734, 4518, -1,
 2734, 2751, 4518, -1, 4518, 2751, 2770, -1, 4518, 2770, 4433, -1,
 2500, 2568, 2307, -1, 2576, 2604, 2255, -1, 2612, 2660, 2151, -1,
 2752, 2771, 1963, -1, 2019, 2735, 2752, -1, 2668, 2696, 2047, -1,
 2047, 2696, 2735, -1, 2612, 2151, 2604, -1, 2576, 2255, 2568, -1,
 2500, 2307, 2472, -1, 2472, 2307, 2227, -1, 2472, 2227, 2464, -1,
 2464, 2227, 2123, -1, 2464, 2123, 2436, -1, 2436, 2123, 1991, -1,
 2436, 1991, 2408, -1, 2408, 1991, 1859, -1, 2408, 1859, 2391, -1,
 2391, 1859, 1683, -1, 2391, 1683, 2363, -1, 2363, 1683, 1655, -1,
 2363, 1655, 2338, -1, 2752, 1963, 2019, -1, 2019, 1963, 1759, -1,
 2019, 1759, 1439, -1, 1759, 1411, 1439, -1, 1439, 1411, 1203, -1,
 1439, 1203, 991, -1, 1203, 915, 991, -1, 991, 915, 755, -1,
 991, 755, 599, -1, 755, 571, 599, -1, 599, 571, 439, -1,
 599, 439, 335, -1, 15, 95, 67, -1, 67, 95, 227, -1,
 67, 227, 199, -1, 199, 227, 335, -1, 199, 335, 279, -1,
 279, 335, 439, -1, 2735, 2019, 2047, -1, 2047, 2019, 1439, -1,
 2047, 1439, 1495, -1, 1495, 1439, 991, -1, 1495, 991, 1047, -1,
 1047, 991, 599, -1, 1047, 599, 859, -1, 859, 599, 335, -1,
 859, 335, 543, -1, 543, 335, 227, -1, 543, 227, 467, -1,
 95, 123, 227, -1, 227, 123, 321, -1, 227, 321, 467, -1,
 467, 321, 363, -1, 467, 363, 651, -1, 651, 783, 467, -1,
 467, 783, 887, -1, 467, 887, 543, -1, 543, 887, 1019, -1,
 543, 1019, 859, -1, 859, 1019, 1335, -1, 859, 1335, 1047, -1,
 1047, 1335, 1599, -1, 1047, 1599, 1495, -1, 1495, 1599, 2151, -1,
 1495, 2151, 2047, -1, 2047, 2151, 2660, -1, 2047, 2660, 2668, -1,
 2604, 2151, 2255, -1, 2255, 2151, 1599, -1, 2255, 1599, 1935, -1,
 1935, 1599, 1335, -1, 1935, 1335, 1571, -1, 1571, 1335, 1019, -1,
 1571, 1019, 1467, -1, 1467, 1019, 887, -1, 1467, 887, 1307, -1,
 1307, 887, 783, -1, 1307, 783, 1231, -1, 651, 679, 783, -1,
 783, 679, 1075, -1, 783, 1075, 1231, -1, 1231, 1075, 1103, -1,
 1231, 1103, 1627, -1, 2568, 2255, 2307, -1, 2307, 2255, 1935, -1,
 2307, 1935, 2227, -1, 2227, 1935, 1571, -1, 2227, 1571, 2123, -1,
 2123, 1571, 1467, -1, 2123, 1467, 1991, -1, 1991, 1467, 1307, -1,
 1991, 1307, 1859, -1, 1859, 1307, 1231, -1, 1859, 1231, 1683, -1,
 1683, 1231, 1627, -1, 1683, 1627, 1655, -1, 438, 570, 598, -1,
 754, 914, 990, -1, 1202, 1410, 1438, -1, 1758, 1962, 2018, -1,
 1682, 2362, 2337, -1, 2471, 2306, 2499, -1, 2499, 2306, 2567, -1,
 2567, 2306, 2575, -1, 2575, 2306, 2254, -1, 2575, 2254, 2603, -1,
 2603, 2254, 2611, -1, 2611, 2254, 2150, -1, 2611, 2150, 2659, -1,
 2659, 2150, 2667, -1, 2667, 2150, 2046, -1, 2667, 2046, 2695, -1,
 2695, 2046, 2018, -1, 2695, 2018, 2734, -1, 2734, 2018, 2751, -1,
 2751, 2018, 1962, -1, 2751, 1962, 2770, -1, 2337, 1654, 1682, -1,
 1682, 1654, 1626, -1, 1682, 1626, 1230, -1, 1626, 1102, 1230, -1,
 1230, 1102, 1074, -1, 1230, 1074, 782, -1, 1074, 678, 782, -1,
 782, 678, 650, -1, 782, 650, 466, -1, 2390, 2362, 1858, -1,
 1858, 2362, 1682, -1, 1858, 1682, 1306, -1, 1306, 1682, 1230, -1,
 1306, 1230, 886, -1, 886, 1230, 782, -1, 886, 782, 542, -1,
 542, 782, 466, -1, 542, 466, 334, -1, 334, 466, 226, -1,
 1410, 1758, 1438, -1, 1438, 1758, 2018, -1, 1438, 2018, 1494, -1,
 1494, 2018, 2046, -1, 1494, 2046, 1598, -1, 1598, 2046, 2150, -1,
 1598, 2150, 1934, -1, 1934, 2150, 2254, -1, 1934, 2254, 2226, -1,
 2226, 2254, 2306, -1, 2226, 2306, 2463, -1, 2463, 2306, 2471, -1,
 914, 1202, 990, -1, 990, 1202, 1438, -1, 990, 1438, 1046, -1,
 1046, 1438, 1494, -1, 1046, 1494, 1334, -1, 1334, 1494, 1598, -1,
 1334, 1598, 1570, -1, 1570, 1598, 1934, -1, 1570, 1934, 2122, -1,
 2122, 1934, 2226, -1, 2122, 2226, 2435, -1, 2435, 2226, 2463, -1,
 570, 754, 598, -1, 598, 754, 990, -1, 598, 990, 858, -1,
 858, 990, 1046, -1, 858, 1046, 1018, -1, 1018, 1046, 1334, -1,
 1018, 1334, 1466, -1, 1466, 1334, 1570, -1, 1466, 1570, 1990, -1,
 1990, 1570, 2122, -1, 1990, 2122, 2407, -1, 2407, 2122, 2435, -1,
 278, 438, 334, -1, 334, 438, 598, -1, 334, 598, 542, -1,
 542, 598, 858, -1, 542, 858, 886, -1, 886, 858, 1018, -1,
 886, 1018, 1306, -1, 1306, 1018, 1466, -1, 1306, 1466, 1858, -1,
 1858, 1466, 1990, -1, 1858, 1990, 2390, -1, 2390, 1990, 2407, -1,
 650, 362, 466, -1, 466, 362, 320, -1, 466, 320, 226, -1,
 226, 320, 122, -1, 226, 122, 94, -1, 278, 334, 198, -1,
 198, 334, 226, -1, 198, 226, 66, -1, 66, 226, 94, -1,
 66, 94, 14, -1, 4592, 2693, 4523, -1, 4523, 2693, 2732, -1,
 4523, 2732, 4515, -1, 4515, 2732, 2749, -1, 4515, 2749, 4513, -1,
 4513, 2749, 2757, -1, 4513, 2757, 4430, -1, 4789, 4752, 2477, -1,
 4691, 2324, 4752, -1, 4752, 2324, 2321, -1, 2321, 2388, 4752, -1,
 4752, 2388, 2405, -1, 4752, 2405, 2433, -1, 2433, 2441, 4752, -1,
 4752, 2441, 2469, -1, 4752, 2469, 2477, -1, 4815, 2477, 4824, -1,
 4824, 2477, 2565, -1, 4815, 4796, 2477, -1, 2477, 4796, 4791, -1,
 2477, 4791, 4789, -1, 5065, 5088, 4824, -1, 2609, 5065, 2601, -1,
 2601, 5065, 4824, -1, 2601, 4824, 2573, -1, 2573, 4824, 2565, -1,
 4592, 4775, 2693, -1, 2693, 4775, 4788, -1, 2693, 4788, 2665, -1,
 4788, 4792, 2665, -1, 2665, 4792, 4814, -1, 2665, 4814, 2657, -1,
 2657, 4814, 4825, -1, 2657, 4825, 2609, -1, 2609, 4825, 4929, -1,
 2609, 4929, 5065, -1, 15, 1, 81, -1, 2324, 2338, 1641, -1,
 1641, 2338, 1655, -1, 1641, 1655, 1613, -1, 1613, 1655, 1627, -1,
 1613, 1627, 1089, -1, 1089, 1627, 1103, -1, 1089, 1103, 1061, -1,
 1061, 1103, 1075, -1, 1061, 1075, 665, -1, 665, 1075, 679, -1,
 665, 679, 637, -1, 637, 679, 651, -1, 637, 651, 349, -1,
 349, 651, 363, -1, 349, 363, 307, -1, 307, 363, 321, -1,
 307, 321, 109, -1, 109, 321, 123, -1, 109, 123, 81, -1,
 81, 123, 95, -1, 81, 95, 15, -1, 0, 14, 94, -1,
 2337, 2323, 1654, -1, 1654, 2323, 1640, -1, 1654, 1640, 1626, -1,
 1626, 1640, 1612, -1, 1626, 1612, 1102, -1, 1102, 1612, 1088, -1,
 1102, 1088, 1074, -1, 1074, 1088, 1060, -1, 1074, 1060, 678, -1,
 678, 1060, 664, -1, 678, 664, 650, -1, 650, 664, 636, -1,
 650, 636, 362, -1, 362, 636, 348, -1, 362, 348, 320, -1,
 320, 348, 306, -1, 320, 306, 122, -1, 122, 306, 108, -1,
 122, 108, 94, -1, 94, 108, 80, -1, 94, 80, 0, -1,
 2320, 2323, 4690, -1, 2756, 2748, 4429, -1, 4429, 2748, 4516, -1,
 4516, 2748, 4525, -1, 4525, 2748, 2731, -1, 4525, 2731, 4553, -1,
 4553, 2731, 2692, -1, 4553, 2692, 4560, -1, 4560, 2692, 2664, -1,
 4560, 2664, 4585, -1, 2320, 4690, 2387, -1, 4585, 2664, 4594, -1,
 4594, 2664, 2656, -1, 4594, 2656, 4619, -1, 4619, 2656, 2608, -1,
 4619, 2608, 4626, -1, 4626, 2608, 2600, -1, 4626, 2600, 4651, -1,
 4651, 2600, 2572, -1, 4651, 2572, 4658, -1, 4658, 2572, 2564, -1,
 4658, 2564, 4683, -1, 4683, 2564, 2476, -1, 4683, 2476, 4690, -1,
 4690, 2476, 2468, -1, 4690, 2468, 2440, -1, 2440, 2432, 4690, -1,
 4690, 2432, 2404, -1, 4690, 2404, 2387, -1, 81, 1, 53, -1,
 2573, 2565, 2293, -1, 2293, 2441, 2213, -1, 2213, 2441, 2433, -1,
 2213, 2433, 2109, -1, 2109, 2433, 2405, -1, 2109, 2405, 1977, -1,
 1977, 2405, 2388, -1, 1977, 2388, 1845, -1, 1845, 2388, 2321, -1,
 1845, 2321, 1669, -1, 2565, 2477, 2293, -1, 2293, 2477, 2469, -1,
 2293, 2469, 2441, -1, 2609, 2601, 2241, -1, 2241, 2601, 2573, -1,
 2665, 2657, 2137, -1, 2137, 2657, 2609, -1, 2033, 2693, 2665, -1,
 2749, 2732, 2005, -1, 2005, 2732, 2693, -1, 213, 109, 81, -1,
 81, 53, 213, -1, 213, 53, 185, -1, 213, 185, 293, -1,
 185, 265, 293, -1, 293, 265, 425, -1, 293, 425, 585, -1,
 425, 557, 585, -1, 585, 557, 741, -1, 585, 741, 977, -1,
 741, 901, 977, -1, 977, 901, 1189, -1, 977, 1189, 1425, -1,
 2757, 2749, 1949, -1, 1949, 2749, 2005, -1, 1949, 2005, 1745, -1,
 1745, 2005, 1425, -1, 1745, 1425, 1397, -1, 1397, 1425, 1189, -1,
 453, 349, 307, -1, 2693, 2033, 2005, -1, 2005, 2033, 1481, -1,
 2005, 1481, 1425, -1, 1425, 1481, 1033, -1, 1425, 1033, 977, -1,
 977, 1033, 845, -1, 977, 845, 585, -1, 585, 845, 529, -1,
 585, 529, 293, -1, 293, 529, 453, -1, 293, 453, 213, -1,
 213, 453, 307, -1, 213, 307, 109, -1, 769, 665, 637, -1,
 2665, 2137, 2033, -1, 2033, 2137, 1585, -1, 2033, 1585, 1481, -1,
 1481, 1585, 1321, -1, 1481, 1321, 1033, -1, 1033, 1321, 1005, -1,
 1033, 1005, 845, -1, 845, 1005, 873, -1, 845, 873, 529, -1,
 529, 873, 769, -1, 529, 769, 453, -1, 453, 769, 637, -1,
 453, 637, 349, -1, 1217, 1089, 1061, -1, 2609, 2241, 2137, -1,
 2137, 2241, 1921, -1, 2137, 1921, 1585, -1, 1585, 1921, 1557, -1,
 1585, 1557, 1321, -1, 1321, 1557, 1453, -1, 1321, 1453, 1005, -1,
 1005, 1453, 1293, -1, 1005, 1293, 873, -1, 873, 1293, 1217, -1,
 873, 1217, 769, -1, 769, 1217, 1061, -1, 769, 1061, 665, -1,
 2321, 2324, 1669, -1, 1669, 2324, 1641, -1, 1669, 1641, 1613, -1,
 2573, 2293, 2241, -1, 2241, 2293, 2213, -1, 2241, 2213, 1921, -1,
 1921, 2213, 2109, -1, 1921, 2109, 1557, -1, 1557, 2109, 1977, -1,
 1557, 1977, 1453, -1, 1453, 1977, 1845, -1, 1453, 1845, 1293, -1,
 1293, 1845, 1669, -1, 1293, 1669, 1217, -1, 1217, 1669, 1613, -1,
 1217, 1613, 1089, -1, 1744, 1396, 1424, -1, 1188, 900, 976, -1,
 740, 556, 584, -1, 424, 264, 292, -1, 2756, 1948, 2748, -1,
 2748, 1948, 2004, -1, 2748, 2004, 2731, -1, 2731, 2004, 2032, -1,
 2731, 2032, 2692, -1, 2136, 2240, 2600, -1, 2600, 2608, 2136, -1,
 2136, 2608, 2656, -1, 2136, 2656, 2032, -1, 2032, 2656, 2664, -1,
 2032, 2664, 2692, -1, 2468, 2476, 2292, -1, 2292, 2476, 2564, -1,
 2292, 2564, 2240, -1, 2240, 2564, 2572, -1, 2240, 2572, 2600, -1,
 2323, 2320, 1640, -1, 1640, 2320, 1668, -1, 1640, 1668, 1612, -1,
 1612, 1668, 1216, -1, 1612, 1216, 1088, -1, 1088, 1216, 1060, -1,
 1060, 1216, 768, -1, 1060, 768, 664, -1, 664, 768, 636, -1,
 636, 768, 452, -1, 636, 452, 348, -1, 184, 52, 212, -1,
 212, 52, 0, -1, 0, 80, 212, -1, 212, 80, 108, -1,
 212, 108, 452, -1, 452, 108, 306, -1, 452, 306, 348, -1,
 264, 184, 292, -1, 292, 184, 212, -1, 292, 212, 528, -1,
 528, 212, 452, -1, 528, 452, 872, -1, 872, 452, 768, -1,
 872, 768, 1292, -1, 1292, 768, 1216, -1, 1292, 1216, 1844, -1,
 1844, 1216, 1668, -1, 1844, 1668, 2387, -1, 2387, 1668, 2320, -1,
 556, 424, 584, -1, 584, 424, 292, -1, 584, 292, 844, -1,
 844, 292, 528, -1, 844, 528, 1004, -1, 1004, 528, 872, -1,
 1004, 872, 1452, -1, 1452, 872, 1292, -1, 1452, 1292, 1976, -1,
 1976, 1292, 1844, -1, 1976, 1844, 2404, -1, 2404, 1844, 2387, -1,
 900, 740, 976, -1, 976, 740, 584, -1, 976, 584, 1032, -1,
 1032, 584, 844, -1, 1032, 844, 1320, -1, 1320, 844, 1004, -1,
 1320, 1004, 1556, -1, 1556, 1004, 1452, -1, 1556, 1452, 2108, -1,
 2108, 1452, 1976, -1, 2108, 1976, 2432, -1, 2432, 1976, 2404, -1,
 1396, 1188, 1424, -1, 1424, 1188, 976, -1, 1424, 976, 1480, -1,
 1480, 976, 1032, -1, 1480, 1032, 1584, -1, 1584, 1032, 1320, -1,
 1584, 1320, 1920, -1, 1920, 1320, 1556, -1, 1920, 1556, 2212, -1,
 2212, 1556, 2108, -1, 2212, 2108, 2440, -1, 2440, 2108, 2432, -1,
 1948, 1744, 2004, -1, 2004, 1744, 1424, -1, 2004, 1424, 2032, -1,
 2032, 1424, 1480, -1, 2032, 1480, 2136, -1, 2136, 1480, 1584, -1,
 2136, 1584, 2240, -1, 2240, 1584, 1920, -1, 2240, 1920, 2292, -1,
 2292, 1920, 2212, -1, 2292, 2212, 2468, -1, 2468, 2212, 2440, -1,
 1, 0, 53, -1, 53, 0, 52, -1, 53, 52, 185, -1,
 185, 52, 184, -1, 185, 184, 265, -1, 265, 184, 264, -1,
 265, 264, 425, -1, 425, 264, 424, -1, 425, 424, 557, -1,
 557, 424, 556, -1, 557, 556, 741, -1, 741, 556, 740, -1,
 741, 740, 901, -1, 901, 740, 900, -1, 901, 900, 1189, -1,
 1189, 900, 1188, -1, 1189, 1188, 1397, -1, 1397, 1188, 1396, -1,
 1397, 1396, 1745, -1, 1745, 1396, 1744, -1, 1745, 1744, 1949, -1,
 1949, 1744, 1948, -1, 1949, 1948, 2757, -1, 2757, 1948, 2756, -1,
 7131, 7207, 7183, -1, 7421, 7302, 7330, -1, 7183, 7207, 7302, -1,
 7302, 7207, 7232, -1, 7302, 7232, 7330, -1, 6743, 6742, 7066, -1,
 7066, 6742, 7027, -1, 7027, 7036, 7066, -1, 7066, 7036, 7088, -1,
 7066, 7088, 7183, -1, 7183, 7088, 7098, -1, 7183, 7098, 7131, -1,
 7688, 7689, 7622, -1, 7622, 7689, 7553, -1, 7622, 7553, 7552, -1,
 7552, 7553, 7494, -1, 7494, 7553, 7421, -1, 7494, 7421, 7420, -1,
 7420, 7421, 7330, -1, 7420, 7330, 7359, -1, 4692, 4981, 4719, -1,
 4719, 4981, 5014, -1, 4719, 5014, 4730, -1, 4730, 5014, 5039, -1,
 4730, 5039, 4741, -1, 4741, 5039, 5066, -1, 4741, 5066, 4754, -1,
 4754, 5066, 5094, -1, 4754, 5094, 4765, -1, 4765, 5094, 5150, -1,
 4765, 5150, 4778, -1, 4778, 5150, 5363, -1, 4981, 5304, 5014, -1,
 5014, 5304, 5347, -1, 5014, 5347, 5039, -1, 5039, 5347, 5396, -1,
 5039, 5396, 5066, -1, 5066, 5396, 5490, -1, 5066, 5490, 5094, -1,
 5094, 5490, 5798, -1, 5094, 5798, 5150, -1, 5150, 5798, 6184, -1,
 5150, 6184, 5363, -1, 5363, 6184, 7044, -1, 5304, 5709, 5347, -1,
 5347, 5709, 5766, -1, 5347, 5766, 5396, -1, 5396, 5766, 5905, -1,
 5396, 5905, 5490, -1, 5490, 5905, 6306, -1, 5490, 6306, 5798, -1,
 5798, 6306, 7118, -1, 5798, 7118, 6184, -1, 6184, 7118, 7254, -1,
 6184, 7254, 7044, -1, 7044, 7254, 7381, -1, 5709, 6129, 5766, -1,
 5766, 6129, 6201, -1, 5766, 6201, 5905, -1, 5905, 6201, 6612, -1,
 5905, 6612, 6306, -1, 6306, 6612, 7164, -1, 6306, 7164, 7118, -1,
 7118, 7164, 7332, -1, 7118, 7332, 7254, -1, 7254, 7332, 7453, -1,
 7254, 7453, 7381, -1, 7381, 7453, 7534, -1, 6129, 6531, 6201, -1,
 6201, 6531, 6710, -1, 6201, 6710, 6612, -1, 6612, 6710, 7140, -1,
 6612, 7140, 7164, -1, 7164, 7140, 7275, -1, 7164, 7275, 7332, -1,
 7332, 7275, 7397, -1, 7332, 7397, 7453, -1, 7453, 7397, 7514, -1,
 7453, 7514, 7534, -1, 7534, 7514, 7648, -1, 6531, 6743, 6710, -1,
 6710, 6743, 7066, -1, 6710, 7066, 7140, -1, 7140, 7066, 7183, -1,
 7140, 7183, 7275, -1, 7275, 7183, 7302, -1, 7275, 7302, 7397, -1,
 7397, 7302, 7421, -1, 7397, 7421, 7514, -1, 7514, 7421, 7553, -1,
 7514, 7553, 7648, -1, 7648, 7553, 7689, -1, 2758, 2720, 2970, -1,
 2970, 2720, 4765, -1, 2970, 4765, 4778, -1, 2720, 2700, 4765, -1,
 4765, 2700, 2672, -1, 4765, 2672, 4754, -1, 4754, 2672, 2636, -1,
 4754, 2636, 4741, -1, 2443, 2412, 4692, -1, 2443, 4692, 2479, -1,
 2636, 2616, 4741, -1, 4741, 2616, 2580, -1, 4741, 2580, 4730, -1,
 4730, 2580, 2544, -1, 4730, 2544, 4719, -1, 4719, 2544, 2524, -1,
 4719, 2524, 4692, -1, 4692, 2524, 2504, -1, 4692, 2504, 2479, -1,
 2412, 2376, 4692, -1, 4692, 2376, 2351, -1, 4692, 2351, 2325, -1,
 1746, 1398, 1426, -1, 1190, 902, 978, -1, 742, 558, 586, -1,
 426, 266, 294, -1, 186, 54, 214, -1, 2758, 1950, 2006, -1,
 2138, 2672, 2034, -1, 2034, 2672, 2700, -1, 2034, 2700, 2006, -1,
 2006, 2700, 2720, -1, 2006, 2720, 2758, -1, 2294, 2580, 2242, -1,
 2242, 2580, 2616, -1, 2242, 2616, 2138, -1, 2138, 2616, 2636, -1,
 2138, 2636, 2672, -1, 2504, 2524, 2294, -1, 2294, 2524, 2544, -1,
 2294, 2544, 2580, -1, 2325, 2351, 1642, -1, 1642, 2351, 1670, -1,
 1642, 1670, 1614, -1, 1614, 1670, 1218, -1, 1614, 1218, 1090, -1,
 1090, 1218, 1062, -1, 1062, 1218, 770, -1, 1062, 770, 666, -1,
 666, 770, 638, -1, 638, 770, 454, -1, 638, 454, 350, -1,
 350, 454, 308, -1, 308, 454, 214, -1, 308, 214, 110, -1,
 110, 214, 82, -1, 82, 214, 54, -1, 82, 54, 2, -1,
 266, 186, 294, -1, 294, 186, 214, -1, 294, 214, 530, -1,
 530, 214, 454, -1, 530, 454, 874, -1, 874, 454, 770, -1,
 874, 770, 1294, -1, 1294, 770, 1218, -1, 1294, 1218, 1846, -1,
 1846, 1218, 1670, -1, 1846, 1670, 2376, -1, 2376, 1670, 2351, -1,
 558, 426, 586, -1, 586, 426, 294, -1, 586, 294, 846, -1,
 846, 294, 530, -1, 846, 530, 1006, -1, 1006, 530, 874, -1,
 1006, 874, 1454, -1, 1454, 874, 1294, -1, 1454, 1294, 1978, -1,
 1978, 1294, 1846, -1, 1978, 1846, 2412, -1, 2412, 1846, 2376, -1,
 902, 742, 978, -1, 978, 742, 586, -1, 978, 586, 1034, -1,
 1034, 586, 846, -1, 1034, 846, 1322, -1, 1322, 846, 1006, -1,
 1322, 1006, 1558, -1, 1558, 1006, 1454, -1, 1558, 1454, 2110, -1,
 2110, 1454, 1978, -1, 2110, 1978, 2443, -1, 2443, 1978, 2412, -1,
 1398, 1190, 1426, -1, 1426, 1190, 978, -1, 1426, 978, 1482, -1,
 1482, 978, 1034, -1, 1482, 1034, 1586, -1, 1586, 1034, 1322, -1,
 1586, 1322, 1922, -1, 1922, 1322, 1558, -1, 1922, 1558, 2214, -1,
 2214, 1558, 2110, -1, 2214, 2110, 2479, -1, 2479, 2110, 2443, -1,
 1950, 1746, 2006, -1, 2006, 1746, 1426, -1, 2006, 1426, 2034, -1,
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 4553, 4560, 4913, -1, 4585, 4594, 4931, -1, 4683, 4690, 4979, -1,
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 5675, 5691, 6111, -1, 6111, 5691, 5707, -1, 6111, 5707, 6127, -1,
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 6079, 6063, 5643, -1, 5643, 6063, 5627, -1, 5643, 5627, 5220, -1,
 6739, 6737, 6527, -1, 6527, 6737, 6511, -1, 6527, 6511, 6095, -1,
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 5659, 5675, 6095, -1, 6095, 5675, 6111, -1, 6095, 6111, 6527, -1,
 6527, 6111, 6127, -1, 6527, 6127, 6529, -1, 4429, 4516, 4843, -1,
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 5172, 5220, 5566, -1, 5566, 5220, 5627, -1, 5566, 5627, 5989, -1,
 5989, 5627, 6047, -1, 5989, 6047, 6407, -1, 6407, 6047, 6463, -1,
 6407, 6463, 6723, -1, 6723, 6463, 6731, -1, 6742, 6756, 6530, -1,
 6530, 6756, 6544, -1, 6530, 6544, 6128, -1, 6128, 6544, 6142, -1,
 6128, 6142, 5708, -1, 5708, 6142, 5722, -1, 5708, 5722, 5303, -1,
 5303, 5722, 5317, -1, 5303, 5317, 4980, -1, 4980, 5317, 4994, -1,
 4980, 4994, 4691, -1, 4691, 4994, 4705, -1, 6723, 6724, 6407, -1,
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 4843, 4844, 4429, -1, 4429, 4844, 4430, -1, 7040, 7131, 7098, -1,
 5035, 5055, 5373, -1, 6591, 7036, 7027, -1, 5012, 5035, 5356, -1,
 7038, 7092, 6181, -1, 7300, 7359, 7330, -1, 7300, 7330, 7290, -1,
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 5775, 6244, 6181, -1, 6181, 6244, 6333, -1, 6181, 6333, 7038, -1,
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 5775, 5618, 5846, -1, 4815, 4824, 5090, -1, 5090, 4824, 5088, -1,
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 5303, 5012, 5342, -1, 5303, 5342, 5708, -1, 5708, 5342, 5737, -1,
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 7211, 7236, 7230, -1, 7211, 7230, 7129, -1, 7249, 7284, 7209, -1,
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 6589, 7054, 6265, -1, 6265, 7054, 6322, -1, 6265, 6322, 5866, -1,
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 5823, 6043, 5846, -1, 7031, 7086, 6571, -1, 6571, 7086, 6589, -1,
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 5819, 6265, 5866, -1, 5819, 5866, 5448, -1, 5448, 5866, 5823, -1,
 5448, 5823, 5618, -1, 5618, 5823, 5846, -1, 4775, 4592, 5009, -1,
 5009, 4592, 4911, -1, 5009, 4911, 5216, -1, 4792, 4788, 5037, -1,
 5037, 4788, 5009, -1, 5037, 5009, 5268, -1, 5268, 5009, 5216, -1,
 5268, 5216, 5564, -1, 4825, 4814, 5103, -1, 5103, 4814, 5037, -1,
 5103, 5037, 5345, -1, 5345, 5037, 5268, -1, 5345, 5268, 5620, -1,
 5620, 5268, 5564, -1, 5620, 5564, 5972, -1, 4929, 4825, 5140, -1,
 5140, 4825, 5103, -1, 5140, 5103, 5419, -1, 5419, 5103, 5345, -1,
 5419, 5345, 5735, -1, 5735, 5345, 5620, -1, 5735, 5620, 5974, -1,
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 5974, 6161, 5735, -1, 5735, 6161, 5819, -1, 5735, 5819, 5419, -1,
 5419, 5819, 5448, -1, 5419, 5448, 5140, -1, 5140, 5448, 5435, -1,
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 5625, 5972, 5564, -1, 5625, 5564, 5218, -1, 5218, 5564, 5216, -1,
 5218, 5216, 4887, -1, 4887, 5216, 4911, -1, 4887, 4911, 4523, -1,
 4523, 4911, 4592, -1, 40, 41, 173, -1, 40, 173, 172, -1,
 172, 173, 413, -1, 172, 413, 412, -1, 412, 413, 729, -1,
 412, 729, 728, -1, 728, 729, 1177, -1, 728, 1177, 1176, -1,
 1176, 1177, 1733, -1, 1176, 1733, 1732, -1, 1732, 1733, 2959, -1,
 1732, 2959, 2958, -1, 7751, 7749, 2868, -1, 7751, 2868, 7753, -1,
 7753, 2868, 2883, -1, 7753, 2883, 7755, -1, 7755, 2883, 2898, -1,
 7755, 2898, 7757, -1, 7757, 2898, 7759, -1, 7759, 2898, 2913, -1,
 7759, 2913, 7761, -1, 2928, 7789, 2913, -1, 2913, 7789, 7785, -1,
 7785, 7783, 2913, -1, 2913, 7783, 7781, -1, 2913, 7781, 7761, -1,
 7811, 7809, 2958, -1, 2958, 7809, 7803, -1, 2958, 7803, 2943, -1,
 2943, 7803, 7801, -1, 2943, 7801, 2928, -1, 2928, 7801, 7795, -1,
 2928, 7795, 7789, -1, 41, 29, 149, -1, 41, 149, 161, -1,
 161, 149, 389, -1, 161, 389, 401, -1, 401, 389, 705, -1,
 401, 705, 717, -1, 717, 705, 1141, -1, 717, 1141, 1153, -1,
 1153, 1141, 1709, -1, 1153, 1709, 1721, -1, 1721, 1709, 2857, -1,
 1721, 2857, 2869, -1, 2958, 2943, 1832, -1, 1820, 2188, 2084, -1,
 2868, 1720, 1808, -1, 2084, 2188, 2868, -1, 2280, 2868, 2188, -1,
 2280, 2188, 2200, -1, 2200, 2188, 1820, -1, 2200, 1820, 2096, -1,
 2883, 2868, 2280, -1, 1532, 1896, 1372, -1, 1372, 1896, 1808, -1,
 1372, 1808, 1268, -1, 1268, 1808, 1720, -1, 1268, 1720, 1152, -1,
 2883, 2280, 2898, -1, 2898, 2280, 2200, -1, 2898, 2200, 2913, -1,
 2913, 2200, 2096, -1, 2913, 2096, 2928, -1, 1544, 1532, 1164, -1,
 1164, 1532, 1372, -1, 1164, 1372, 952, -1, 952, 1372, 1268, -1,
 952, 1268, 820, -1, 820, 1268, 1152, -1, 820, 1152, 716, -1,
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 964, 1164, 952, -1, 964, 952, 624, -1, 624, 952, 820, -1,
 624, 820, 504, -1, 504, 820, 716, -1, 504, 716, 400, -1,
 2943, 1908, 1832, -1, 1832, 1908, 1384, -1, 1832, 1384, 1280, -1,
 1280, 1384, 964, -1, 1280, 964, 832, -1, 832, 964, 624, -1,
 832, 624, 516, -1, 516, 624, 504, -1, 516, 504, 252, -1,
 252, 504, 400, -1, 252, 400, 160, -1, 2958, 1832, 1732, -1,
 1732, 1832, 1280, -1, 1732, 1280, 1176, -1, 1176, 1280, 832, -1,
 1176, 832, 728, -1, 728, 832, 516, -1, 728, 516, 412, -1,
 412, 516, 252, -1, 412, 252, 172, -1, 172, 252, 160, -1,
 172, 160, 40, -1, 1896, 2868, 1808, -1, 2943, 2928, 1908, -1,
 1908, 2928, 2096, -1, 1908, 2096, 1544, -1, 1544, 2096, 1820, -1,
 1544, 1820, 1532, -1, 1532, 1820, 2084, -1, 1532, 2084, 1896, -1,
 1896, 2084, 2868, -1, 29, 28, 136, -1, 29, 136, 137, -1,
 137, 136, 376, -1, 137, 376, 377, -1, 377, 376, 692, -1,
 377, 692, 693, -1, 693, 692, 1116, -1, 693, 1116, 1117, -1,
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 3992, 3917, 3910, -1, 3910, 3917, 3907, -1, 3910, 3907, 3872, -1,
 4088, 4090, 4094, -1, 4094, 4090, 4092, -1, 4094, 4092, 4086, -1,
 4086, 4078, 4094, -1, 4094, 4078, 4065, -1, 4094, 4065, 3992, -1,
 3992, 4065, 3971, -1, 3992, 3971, 3917, -1, 3550, 3552, 3580, -1,
 3580, 3552, 3582, -1, 3580, 3582, 3600, -1, 3600, 3582, 3640, -1,
 3715, 3657, 3640, -1, 3640, 3657, 3638, -1, 3640, 3638, 3600, -1,
 3812, 3775, 3815, -1, 3815, 3775, 3767, -1, 3815, 3767, 3715, -1,
 3715, 3767, 3712, -1, 3715, 3712, 3657, -1, 2960, 3570, 3568, -1,
 2960, 3568, 2945, -1, 2945, 3568, 3565, -1, 2945, 3565, 2930, -1,
 2930, 3565, 3562, -1, 2930, 3562, 2915, -1, 2915, 3562, 3559, -1,
 2915, 3559, 2900, -1, 2900, 3559, 3556, -1, 2900, 3556, 2885, -1,
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 4347, 4315, 4306, -1, 4315, 4266, 4248, -1, 4266, 4214, 4204, -1,
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 4146, 3992, 3910, -1, 4146, 3910, 3927, -1, 3927, 3910, 3815, -1,
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 3721, 3715, 3640, -1, 3721, 3640, 3647, -1, 3647, 3640, 3582, -1,
 3647, 3582, 3587, -1, 3587, 3582, 3552, -1, 3587, 3552, 3556, -1,
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 4158, 3927, 3829, -1, 4158, 3829, 3893, -1, 3893, 3829, 3721, -1,
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 3828, 3660, 3706, -1, 3706, 3660, 3599, -1, 3706, 3599, 3611, -1,
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 3722, 3611, 3620, -1, 3620, 3611, 3562, -1, 3620, 3562, 3565, -1,
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 3798, 3722, 3620, -1, 3798, 3620, 3632, -1, 3632, 3620, 3565, -1,
 3632, 3565, 3568, -1, 4373, 4341, 4363, -1, 4363, 4341, 4329, -1,
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 4327, 4287, 4194, -1, 4327, 4194, 4246, -1, 4246, 4194, 3798, -1,
 4246, 3798, 3885, -1, 3885, 3798, 3632, -1, 3885, 3632, 3645, -1,
 3645, 3632, 3568, -1, 3645, 3568, 3570, -1, 3756, 3758, 3760, -1,
 3846, 3857, 3859, -1, 4000, 4014, 3998, -1, 3998, 4014, 3965, -1,
 4000, 4006, 4014, -1, 4014, 4006, 4012, -1, 4014, 4012, 4010, -1,
 3859, 3857, 3938, -1, 3857, 3898, 3938, -1, 3938, 3898, 3928, -1,
 3938, 3928, 4014, -1, 4014, 3928, 3956, -1, 4014, 3956, 3965, -1,
 3760, 3758, 3859, -1, 3859, 3758, 3802, -1, 3859, 3802, 3846, -1,
 3756, 3760, 3669, -1, 3669, 3760, 3653, -1, 3669, 3653, 3651, -1,
 3651, 3653, 3623, -1, 3623, 3653, 3590, -1, 3623, 3590, 3588, -1,
 3588, 3590, 3574, -1, 3574, 3590, 3511, -1, 3574, 3511, 3509, -1,
 4371, 4349, 4373, -1, 4373, 4349, 4347, -1, 4349, 4345, 4347, -1,
 4347, 4345, 4321, -1, 4347, 4321, 4315, -1, 4321, 4312, 4315, -1,
 4315, 4312, 4282, -1, 4315, 4282, 4266, -1, 4282, 4257, 4266, -1,
 4266, 4257, 4229, -1, 4266, 4229, 4214, -1, 4229, 4207, 4214, -1,
 4214, 4207, 4189, -1, 4214, 4189, 4165, -1, 4014, 4094, 4137, -1,
 4137, 4094, 4165, -1, 4137, 4165, 4153, -1, 4153, 4165, 4189, -1,
 3530, 3529, 3642, -1, 3962, 3938, 4014, -1, 4014, 4137, 3962, -1,
 3962, 4137, 4153, -1, 3962, 4153, 4168, -1, 4153, 4189, 4168, -1,
 4168, 4189, 4207, -1, 4168, 4207, 4218, -1, 4207, 4229, 4218, -1,
 4218, 4229, 4257, -1, 4218, 4257, 4272, -1, 3511, 3590, 3514, -1,
 3514, 3590, 3592, -1, 3514, 3592, 3517, -1, 3517, 3592, 3603, -1,
 3517, 3603, 3520, -1, 3520, 3603, 3612, -1, 3520, 3612, 3523, -1,
 3523, 3612, 3619, -1, 3523, 3619, 3526, -1, 3526, 3619, 3631, -1,
 3526, 3631, 3529, -1, 3590, 3653, 3592, -1, 3592, 3653, 3656, -1,
 3592, 3656, 3603, -1, 3603, 3656, 3667, -1, 3603, 3667, 3612, -1,
 3612, 3667, 3707, -1, 3612, 3707, 3619, -1, 3619, 3707, 3739, -1,
 3619, 3739, 3631, -1, 3631, 3739, 3799, -1, 3653, 3760, 3656, -1,
 3656, 3760, 3777, -1, 3656, 3777, 3667, -1, 3667, 3777, 3797, -1,
 3667, 3797, 3707, -1, 3707, 3797, 3851, -1, 3707, 3851, 3739, -1,
 3739, 3851, 3947, -1, 3739, 3947, 3799, -1, 3799, 3947, 4193, -1,
 3760, 3859, 3777, -1, 3777, 3859, 3878, -1, 3777, 3878, 3797, -1,
 3797, 3878, 3926, -1, 3797, 3926, 3851, -1, 3851, 3926, 4164, -1,
 3851, 4164, 3947, -1, 3947, 4164, 4222, -1, 3947, 4222, 4193, -1,
 4193, 4222, 4279, -1, 3859, 3938, 3878, -1, 3878, 3938, 3962, -1,
 3878, 3962, 3926, -1, 3926, 3962, 4168, -1, 3926, 4168, 4164, -1,
 4164, 4168, 4218, -1, 4164, 4218, 4222, -1, 4222, 4218, 4272, -1,
 4222, 4272, 4279, -1, 4279, 4272, 4314, -1, 4257, 4282, 4272, -1,
 4272, 4282, 4312, -1, 4272, 4312, 4314, -1, 4314, 4312, 4321, -1,
 4314, 4321, 4345, -1, 3529, 3631, 3642, -1, 3642, 3631, 3799, -1,
 3642, 3799, 3877, -1, 3877, 3799, 4193, -1, 3877, 4193, 4244, -1,
 4244, 4193, 4279, -1, 4244, 4279, 4317, -1, 4317, 4279, 4314, -1,
 4317, 4314, 4340, -1, 4340, 4314, 4345, -1, 4340, 4345, 4349, -1,
 3530, 3642, 3661, -1, 3661, 3642, 3877, -1, 3661, 3877, 3987, -1,
 3987, 3877, 4244, -1, 3987, 4244, 4293, -1, 4293, 4244, 4317, -1,
 4293, 4317, 4342, -1, 4342, 4317, 4340, -1, 4342, 4340, 4361, -1,
 4361, 4340, 4349, -1, 4361, 4349, 4371, -1, 3530, 2959, 2955, -1,
 2944, 3526, 2955, -1, 2955, 3526, 3529, -1, 2955, 3529, 3530, -1,
 2944, 2940, 3526, -1, 3526, 2940, 2929, -1, 3526, 2929, 3523, -1,
 2929, 2925, 3523, -1, 3523, 2925, 2914, -1, 3523, 2914, 3520, -1,
 2914, 2910, 3520, -1, 3520, 2910, 2899, -1, 3520, 2899, 3517, -1,
 2899, 2895, 3517, -1, 3517, 2895, 2884, -1, 3517, 2884, 3514, -1,
 2884, 2880, 3514, -1, 3514, 2880, 2869, -1, 3514, 2869, 3511, -1,
 2085, 1897, 2869, -1, 2895, 2899, 2201, -1, 2910, 2914, 2097, -1,
 253, 173, 41, -1, 833, 729, 413, -1, 2959, 1733, 2955, -1,
 2955, 1733, 1833, -1, 2955, 1833, 2944, -1, 1177, 729, 1281, -1,
 1281, 729, 833, -1, 1281, 833, 1385, -1, 2944, 1833, 2940, -1,
 2940, 1833, 1909, -1, 2940, 1909, 2929, -1, 1733, 1177, 1833, -1,
 1833, 1177, 1281, -1, 1833, 1281, 1909, -1, 1909, 1281, 1385, -1,
 1909, 1385, 2097, -1, 2097, 2914, 1909, -1, 1909, 2914, 2925, -1,
 1909, 2925, 2929, -1, 401, 717, 821, -1, 2899, 2910, 2201, -1,
 2201, 2910, 2097, -1, 2201, 2097, 1545, -1, 1545, 2097, 1385, -1,
 1545, 1385, 965, -1, 965, 1385, 833, -1, 965, 833, 517, -1,
 517, 833, 413, -1, 517, 413, 173, -1, 821, 1269, 1373, -1,
 173, 253, 517, -1, 517, 253, 625, -1, 517, 625, 965, -1,
 965, 625, 1165, -1, 965, 1165, 1545, -1, 1545, 1165, 1821, -1,
 1545, 1821, 2201, -1, 2201, 1821, 2281, -1, 2201, 2281, 2895, -1,
 1897, 2085, 1373, -1, 1373, 1269, 1897, -1, 1897, 1269, 1809, -1,
 1897, 1809, 2869, -1, 821, 717, 1269, -1, 1269, 717, 1153, -1,
 1269, 1153, 1809, -1, 1809, 1153, 1721, -1, 1809, 1721, 2869, -1,
 2869, 2880, 2281, -1, 2281, 2880, 2884, -1, 2281, 2884, 2895, -1,
 41, 161, 253, -1, 253, 161, 505, -1, 253, 505, 625, -1,
 625, 505, 953, -1, 625, 953, 1165, -1, 1165, 953, 1533, -1,
 1165, 1533, 1821, -1, 1821, 1533, 2189, -1, 1821, 2189, 2281, -1,
 2281, 2189, 2869, -1, 161, 401, 505, -1, 505, 401, 821, -1,
 505, 821, 953, -1, 953, 821, 1373, -1, 953, 1373, 1533, -1,
 1533, 1373, 2085, -1, 1533, 2085, 2189, -1, 2189, 2085, 2869, -1,
 5506, 5521, 4195, -1, 5531, 5559, 4154, -1, 4154, 5559, 5586, -1,
 4154, 5586, 4147, -1, 5531, 4154, 5521, -1, 5521, 4154, 4169, -1,
 5521, 4169, 4195, -1, 5360, 5383, 4216, -1, 4216, 5383, 5457, -1,
 4216, 5457, 4195, -1, 4195, 5457, 5479, -1, 4195, 5479, 5506, -1,
 4216, 4277, 5360, -1, 5360, 4277, 4319, -1, 5360, 4319, 5116, -1,
 4803, 4830, 4359, -1, 4359, 4830, 5031, -1, 4359, 5031, 4319, -1,
 4319, 5031, 5110, -1, 4319, 5110, 5116, -1, 4359, 4377, 4803, -1,
 4803, 4377, 4385, -1, 4803, 4385, 4449, -1, 5521, 5506, 5814, -1,
 5457, 5383, 5538, -1, 4803, 4449, 4863, -1, 6578, 6439, 6950, -1,
 6950, 6439, 6957, -1, 4863, 5192, 5451, -1, 4803, 4863, 4830, -1,
 4830, 4863, 5129, -1, 5129, 4863, 5451, -1, 5129, 5451, 5406, -1,
 5360, 5116, 5406, -1, 5406, 5116, 5110, -1, 5406, 5110, 5129, -1,
 5129, 5110, 5031, -1, 5129, 5031, 4830, -1, 5383, 5360, 5538, -1,
 5538, 5360, 5406, -1, 5538, 5406, 5755, -1, 5755, 5406, 5451, -1,
 5755, 5451, 5841, -1, 5841, 5451, 5192, -1, 5841, 5192, 5598, -1,
 5479, 5457, 5786, -1, 5786, 5457, 5538, -1, 5786, 5538, 5890, -1,
 5890, 5538, 5755, -1, 5890, 5755, 5934, -1, 5934, 5755, 5841, -1,
 5934, 5841, 6219, -1, 6219, 5841, 5598, -1, 6219, 5598, 6021, -1,
 5506, 5479, 5814, -1, 5814, 5479, 5786, -1, 5814, 5786, 5922, -1,
 5922, 5786, 5890, -1, 5922, 5890, 6170, -1, 6170, 5890, 5934, -1,
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 5834, 5521, 5814, -1, 5834, 5814, 5952, -1, 5952, 5814, 5922, -1,
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 6600, 6578, 6938, -1, 6938, 6578, 6950, -1, 6878, 6866, 6665, -1,
 6665, 6866, 6678, -1, 6665, 6678, 6402, -1, 6890, 6878, 6653, -1,
 6653, 6878, 6665, -1, 6653, 6665, 6390, -1, 6390, 6665, 6402, -1,
 6390, 6402, 6289, -1, 6908, 6890, 6647, -1, 6647, 6890, 6653, -1,
 6647, 6653, 6374, -1, 6374, 6653, 6390, -1, 6374, 6390, 6274, -1,
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 6356, 6374, 6260, -1, 6260, 6374, 6274, -1, 6260, 6274, 5965, -1,
 5965, 6274, 5984, -1, 5965, 5984, 5861, -1, 5559, 5531, 5861, -1,
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 5965, 5952, 6260, -1, 6260, 5952, 6231, -1, 6260, 6231, 6356, -1,
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 6967, 6439, 6449, -1, 6449, 6439, 6021, -1, 6449, 6021, 6031, -1,
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 5423, 5598, 5192, -1, 5423, 5192, 5202, -1, 5202, 5192, 5077, -1,
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 5077, 4875, 5079, -1, 5077, 5079, 5202, -1, 5202, 5079, 5204, -1,
 5202, 5204, 5423, -1, 5423, 5204, 5425, -1, 5423, 5425, 5608, -1,
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 4800, 4448, 4862, -1, 5191, 5079, 4862, -1, 4862, 5079, 4875, -1,
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 5191, 5204, 5079, -1, 5191, 5597, 5610, -1, 5610, 5597, 6020, -1,
 5610, 6020, 6033, -1, 6033, 6020, 6438, -1, 6033, 6438, 6451, -1,
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 4835, 4375, 4338, -1, 4835, 4338, 5057, -1, 5057, 4338, 5122, -1,
 5122, 4338, 4295, -1, 5122, 4295, 5164, -1, 5164, 4295, 5388, -1,
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 5427, 4219, 5439, -1, 5439, 4219, 4191, -1, 5439, 4191, 5484, -1,
 5585, 5552, 4061, -1, 4061, 5552, 5524, -1, 4061, 5524, 4156, -1,
 4156, 5524, 5514, -1, 4156, 5514, 4191, -1, 4191, 5514, 5499, -1,
 4191, 5499, 5484, -1, 5191, 4862, 5142, -1, 6426, 6690, 6683, -1,
 5585, 5848, 5552, -1, 5552, 5848, 5827, -1, 5552, 5827, 5524, -1,
 5524, 5827, 5514, -1, 5514, 5827, 5807, -1, 5514, 5807, 5499, -1,
 5499, 5807, 5791, -1, 5499, 5791, 5484, -1, 5484, 5791, 5741, -1,
 5484, 5741, 5439, -1, 5439, 5741, 5427, -1, 5427, 5741, 5543, -1,
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 5057, 5142, 4835, -1, 6956, 6583, 6943, -1, 6943, 6583, 6605, -1,
 6943, 6605, 6931, -1, 6931, 6605, 6627, -1, 6931, 6627, 6919, -1,
 6919, 6627, 6633, -1, 6919, 6633, 6913, -1, 6913, 6633, 6640, -1,
 6913, 6640, 6901, -1, 6901, 6640, 6658, -1, 6901, 6658, 6895, -1,
 6895, 6658, 6670, -1, 6895, 6670, 6883, -1, 6883, 6670, 6683, -1,
 6883, 6683, 6871, -1, 6871, 6683, 6690, -1, 6871, 6690, 6854, -1,
 6956, 6438, 6583, -1, 6583, 6438, 6224, -1, 6583, 6224, 6605, -1,
 6605, 6224, 6324, -1, 6605, 6324, 6627, -1, 6627, 6324, 6342, -1,
 6627, 6342, 6633, -1, 6633, 6342, 6348, -1, 6633, 6348, 6640, -1,
 6640, 6348, 6361, -1, 6640, 6361, 6658, -1, 6658, 6361, 6367, -1,
 6658, 6367, 6670, -1, 6670, 6367, 6381, -1, 6670, 6381, 6683, -1,
 6683, 6381, 6395, -1, 6683, 6395, 6426, -1, 6426, 6395, 6295, -1,
 6438, 6020, 6224, -1, 6224, 6020, 5854, -1, 6224, 5854, 6324, -1,
 6324, 5854, 5939, -1, 6324, 5939, 6342, -1, 6342, 5939, 6175, -1,
 6342, 6175, 6348, -1, 6348, 6175, 6212, -1, 6348, 6212, 6361, -1,
 6361, 6212, 6236, -1, 6361, 6236, 6367, -1, 6367, 6236, 6253, -1,
 6367, 6253, 6381, -1, 6381, 6253, 6267, -1, 6381, 6267, 6395, -1,
 6395, 6267, 6282, -1, 6395, 6282, 6295, -1, 6295, 6282, 6008, -1,
 6020, 5597, 5854, -1, 5854, 5597, 5461, -1, 5854, 5461, 5939, -1,
 5939, 5461, 5760, -1, 5939, 5760, 6175, -1, 6175, 5760, 5895, -1,
 6175, 5895, 6212, -1, 6212, 5895, 5915, -1, 6212, 5915, 6236, -1,
 6236, 5915, 5927, -1, 6236, 5927, 6253, -1, 6253, 5927, 5945, -1,
 6253, 5945, 6267, -1, 6267, 5945, 5958, -1, 6267, 5958, 6282, -1,
 6282, 5958, 5977, -1, 6282, 5977, 6008, -1, 6008, 5977, 5869, -1,
 5597, 5191, 5461, -1, 5461, 5191, 5142, -1, 5461, 5142, 5760, -1,
 5760, 5142, 5413, -1, 5760, 5413, 5895, -1, 5895, 5413, 5543, -1,
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 12389, 12693, 12362, -1, 12362, 12693, 12683, -1, 12362, 12683, 12334, -1,
 12334, 12683, 12671, -1, 12334, 12671, 12276, -1, 12276, 12671, 12661, -1,
 12276, 12661, 12064, -1, 12064, 12661, 12649, -1, 12693, 14831, 14796, -1,
 12715, 15080, 12703, -1, 12703, 15080, 15055, -1, 12703, 15055, 15027, -1,
 15027, 14999, 12703, -1, 12703, 14999, 14966, -1, 12703, 14966, 14933, -1,
 14933, 14908, 12703, -1, 12703, 14908, 14887, -1, 12703, 14887, 12693, -1,
 12693, 14887, 14866, -1, 12693, 14866, 14831, -1, 14775, 12671, 14796, -1,
 14796, 12671, 12683, -1, 14796, 12683, 12693, -1, 14775, 14740, 12671, -1,
 12671, 14740, 14712, -1, 12671, 14712, 12661, -1, 14465, 12649, 12661, -1,
 12661, 14712, 14465, -1, 14465, 14712, 14684, -1, 14465, 14684, 14477, -1,
 12726, 15091, 12741, -1, 12741, 15091, 15105, -1, 12741, 15105, 15040, -1,
 15040, 15021, 12741, -1, 12741, 15021, 14993, -1, 12741, 14993, 14986, -1,
 14986, 14958, 12741, -1, 12741, 14958, 14953, -1, 12741, 14953, 12749, -1,
 12749, 14953, 14860, -1, 12749, 14860, 12773, -1, 12773, 14860, 14853, -1,
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 12805, 14825, 14818, -1, 12805, 14818, 12813, -1, 12813, 14818, 14769, -1,
 12813, 14769, 12839, -1, 12839, 14769, 14762, -1, 12839, 14762, 12847, -1,
 12847, 14762, 14734, -1, 12847, 14734, 12871, -1, 12871, 14734, 12882, -1,
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 12909, 14678, 14488, -1, 12909, 14488, 12920, -1, 17392, 17391, 17364, -1,
 17364, 17391, 17363, -1, 17364, 17363, 17232, -1, 17232, 17363, 17231, -1,
 17232, 17231, 17152, -1, 17152, 17231, 17151, -1, 17152, 17151, 16992, -1,
 16992, 17151, 16991, -1, 16992, 16991, 16860, -1, 16860, 16991, 16859, -1,
 16860, 16859, 16676, -1, 16676, 16859, 16675, -1, 16676, 16675, 16516, -1,
 16516, 16675, 16515, -1, 16516, 16515, 16228, -1, 16228, 16515, 16227, -1,
 16228, 16227, 16020, -1, 16020, 16227, 16019, -1, 16020, 16019, 15672, -1,
 15672, 16019, 15671, -1, 15672, 15671, 15468, -1, 15468, 15671, 15467, -1,
 15468, 15467, 14488, -1, 14488, 15467, 14487, -1, 15104, 15090, 12725, -1,
 14487, 14677, 12919, -1, 12919, 14677, 12908, -1, 12908, 14677, 12881, -1,
 12881, 14677, 14696, -1, 12881, 14696, 12870, -1, 12870, 14696, 14733, -1,
 12870, 14733, 12846, -1, 12846, 14733, 14761, -1, 12846, 14761, 12838, -1,
 15104, 12725, 15039, -1, 12838, 14761, 12812, -1, 12812, 14761, 14768, -1,
 12812, 14768, 12804, -1, 12804, 14768, 14817, -1, 12804, 14817, 12780, -1,
 12780, 14817, 14824, -1, 12780, 14824, 12772, -1, 12772, 14824, 14852, -1,
 12772, 14852, 12748, -1, 12748, 14852, 14859, -1, 12748, 14859, 12740, -1,
 12740, 14859, 14952, -1, 12740, 14952, 12725, -1, 12725, 14952, 14957, -1,
 12725, 14957, 14985, -1, 14985, 14992, 12725, -1, 12725, 14992, 15020, -1,
 12725, 15020, 15039, -1, 17336, 17392, 17364, -1, 14853, 14860, 15124, -1,
 15124, 14986, 15204, -1, 15204, 14986, 14993, -1, 15204, 14993, 15308, -1,
 15308, 14993, 15021, -1, 15308, 15021, 15440, -1, 15440, 15021, 15040, -1,
 15440, 15040, 15572, -1, 15572, 15040, 15105, -1, 15572, 15105, 15748, -1,
 14860, 14953, 15124, -1, 15124, 14953, 14958, -1, 15124, 14958, 14986, -1,
 14818, 14825, 15176, -1, 15176, 14825, 14853, -1, 14762, 14769, 15280, -1,
 15280, 14769, 14818, -1, 15384, 14734, 14762, -1, 14678, 14697, 15412, -1,
 15412, 14697, 14734, -1, 17204, 17308, 17336, -1, 17336, 17364, 17204, -1,
 17204, 17364, 17232, -1, 17204, 17232, 17124, -1, 17232, 17152, 17124, -1,
 17124, 17152, 16992, -1, 17124, 16992, 16832, -1, 16992, 16860, 16832, -1,
 16832, 16860, 16676, -1, 16832, 16676, 16440, -1, 16676, 16516, 16440, -1,
 16440, 16516, 16228, -1, 16440, 16228, 15992, -1, 14488, 14678, 15468, -1,
 15468, 14678, 15412, -1, 15468, 15412, 15672, -1, 15672, 15412, 15992, -1,
 15672, 15992, 16020, -1, 16020, 15992, 16228, -1, 16964, 17068, 17110, -1,
 14734, 15384, 15412, -1, 15412, 15384, 15936, -1, 15412, 15936, 15992, -1,
 15992, 15936, 16384, -1, 15992, 16384, 16440, -1, 16440, 16384, 16572, -1,
 16440, 16572, 16832, -1, 16832, 16572, 16888, -1, 16832, 16888, 17124, -1,
 17124, 16888, 16964, -1, 17124, 16964, 17204, -1, 17204, 16964, 17110, -1,
 17204, 17110, 17308, -1, 16648, 16752, 16780, -1, 14762, 15280, 15384, -1,
 15384, 15280, 15832, -1, 15384, 15832, 15936, -1, 15936, 15832, 16096, -1,
 15936, 16096, 16384, -1, 16384, 16096, 16412, -1, 16384, 16412, 16572, -1,
 16572, 16412, 16544, -1, 16572, 16544, 16888, -1, 16888, 16544, 16648, -1,
 16888, 16648, 16964, -1, 16964, 16648, 16780, -1, 16964, 16780, 17068, -1,
 16200, 16328, 16356, -1, 14818, 15176, 15280, -1, 15280, 15176, 15496, -1,
 15280, 15496, 15832, -1, 15832, 15496, 15860, -1, 15832, 15860, 16096, -1,
 16096, 15860, 15964, -1, 16096, 15964, 16412, -1, 16412, 15964, 16124, -1,
 16412, 16124, 16544, -1, 16544, 16124, 16200, -1, 16544, 16200, 16648, -1,
 16648, 16200, 16356, -1, 16648, 16356, 16752, -1, 15105, 15091, 15748, -1,
 15748, 15091, 15776, -1, 15748, 15776, 15804, -1, 14853, 15124, 15176, -1,
 15176, 15124, 15204, -1, 15176, 15204, 15496, -1, 15496, 15204, 15308, -1,
 15496, 15308, 15860, -1, 15860, 15308, 15440, -1, 15860, 15440, 15964, -1,
 15964, 15440, 15572, -1, 15964, 15572, 16124, -1, 16124, 15572, 15748, -1,
 16124, 15748, 16200, -1, 16200, 15748, 15804, -1, 16200, 15804, 16328, -1,
 15671, 16019, 15991, -1, 16227, 16515, 16439, -1, 16675, 16859, 16831, -1,
 16991, 17151, 17123, -1, 17231, 17363, 17203, -1, 14487, 15467, 14677, -1,
 14677, 15467, 15411, -1, 14677, 15411, 14696, -1, 14696, 15411, 15383, -1,
 14696, 15383, 14733, -1, 15279, 15175, 14824, -1, 14824, 14817, 15279, -1,
 15279, 14817, 14768, -1, 15279, 14768, 15383, -1, 15383, 14768, 14761, -1,
 15383, 14761, 14733, -1, 14957, 14952, 15123, -1, 15123, 14952, 14859, -1,
 15123, 14859, 15175, -1, 15175, 14859, 14852, -1, 15175, 14852, 14824, -1,
 15090, 15104, 15775, -1, 15775, 15104, 15747, -1, 15775, 15747, 15803, -1,
 15803, 15747, 16199, -1, 15803, 16199, 16327, -1, 16327, 16199, 16355, -1,
 16355, 16199, 16647, -1, 16355, 16647, 16751, -1, 16751, 16647, 16779, -1,
 16779, 16647, 16963, -1, 16779, 16963, 17067, -1, 17067, 16963, 17109, -1,
 17109, 16963, 17203, -1, 17109, 17203, 17307, -1, 17307, 17203, 17335, -1,
 17335, 17203, 17363, -1, 17335, 17363, 17391, -1, 17151, 17231, 17123, -1,
 17123, 17231, 17203, -1, 17123, 17203, 16887, -1, 16887, 17203, 16963, -1,
 16887, 16963, 16543, -1, 16543, 16963, 16647, -1, 16543, 16647, 16123, -1,
 16123, 16647, 16199, -1, 16123, 16199, 15571, -1, 15571, 16199, 15747, -1,
 15571, 15747, 15039, -1, 15039, 15747, 15104, -1, 16859, 16991, 16831, -1,
 16831, 16991, 17123, -1, 16831, 17123, 16571, -1, 16571, 17123, 16887, -1,
 16571, 16887, 16411, -1, 16411, 16887, 16543, -1, 16411, 16543, 15963, -1,
 15963, 16543, 16123, -1, 15963, 16123, 15439, -1, 15439, 16123, 15571, -1,
 15439, 15571, 15020, -1, 15020, 15571, 15039, -1, 16515, 16675, 16439, -1,
 16439, 16675, 16831, -1, 16439, 16831, 16383, -1, 16383, 16831, 16571, -1,
 16383, 16571, 16095, -1, 16095, 16571, 16411, -1, 16095, 16411, 15859, -1,
 15859, 16411, 15963, -1, 15859, 15963, 15307, -1, 15307, 15963, 15439, -1,
 15307, 15439, 14992, -1, 14992, 15439, 15020, -1, 16019, 16227, 15991, -1,
 15991, 16227, 16439, -1, 15991, 16439, 15935, -1, 15935, 16439, 16383, -1,
 15935, 16383, 15831, -1, 15831, 16383, 16095, -1, 15831, 16095, 15495, -1,
 15495, 16095, 15859, -1, 15495, 15859, 15203, -1, 15203, 15859, 15307, -1,
 15203, 15307, 14985, -1, 14985, 15307, 14992, -1, 15467, 15671, 15411, -1,
 15411, 15671, 15991, -1, 15411, 15991, 15383, -1, 15383, 15991, 15935, -1,
 15383, 15935, 15279, -1, 15279, 15935, 15831, -1, 15279, 15831, 15175, -1,
 15175, 15831, 15495, -1, 15175, 15495, 15123, -1, 15123, 15495, 15203, -1,
 15123, 15203, 14957, -1, 14957, 15203, 14985, -1, 14823, 14851, 12609, -1,
 12609, 12346, 12370, -1, 14823, 12609, 14816, -1, 15066, 15077, 12712, -1,
 15066, 12712, 15038, -1, 12679, 14928, 12712, -1, 12712, 14928, 14930, -1,
 12712, 14930, 14963, -1, 14963, 14991, 12712, -1, 12712, 14991, 15019, -1,
 12712, 15019, 15038, -1, 12679, 12644, 14928, -1, 14928, 12644, 12643, -1,
 14928, 12643, 14858, -1, 14858, 12643, 12637, -1, 14858, 12637, 14851, -1,
 14851, 12637, 12618, -1, 14851, 12618, 12609, -1, 12835, 14732, 12657, -1,
 12657, 14732, 12646, -1, 12916, 14474, 12913, -1, 12913, 14474, 14676, -1,
 12913, 14676, 12906, -1, 12906, 14676, 12904, -1, 12904, 14676, 12835, -1,
 12835, 14676, 14695, -1, 12835, 14695, 14732, -1, 12646, 14732, 12641, -1,
 12641, 14732, 14760, -1, 12641, 14760, 12620, -1, 12609, 12370, 14816, -1,
 14816, 12370, 12504, -1, 14816, 12504, 12607, -1, 12620, 14760, 12607, -1,
 12607, 14760, 14767, -1, 12607, 14767, 14816, -1, 15091, 15077, 15776, -1,
 15776, 15077, 15762, -1, 15776, 15762, 15804, -1, 15804, 15762, 15790, -1,
 15804, 15790, 16328, -1, 16328, 15790, 16314, -1, 16328, 16314, 16356, -1,
 16356, 16314, 16342, -1, 16356, 16342, 16752, -1, 16752, 16342, 16738, -1,
 16752, 16738, 16780, -1, 16780, 16738, 16766, -1, 16780, 16766, 17068, -1,
 17068, 16766, 17054, -1, 17068, 17054, 17110, -1, 17110, 17054, 17096, -1,
 17110, 17096, 17308, -1, 17308, 17096, 17294, -1, 17308, 17294, 17336, -1,
 17294, 17322, 17336, -1, 17336, 17322, 17378, -1, 17336, 17378, 17392, -1,
 15076, 15090, 15761, -1, 15761, 15090, 15775, -1, 15761, 15775, 15789, -1,
 15789, 15775, 15803, -1, 15789, 15803, 16313, -1, 16313, 15803, 16327, -1,
 16313, 16327, 16341, -1, 16341, 16327, 16355, -1, 16341, 16355, 16737, -1,
 16737, 16355, 16751, -1, 16737, 16751, 16765, -1, 16765, 16751, 16779, -1,
 16765, 16779, 17053, -1, 17053, 16779, 17067, -1, 17053, 17067, 17095, -1,
 17095, 17067, 17109, -1, 17095, 17109, 17293, -1, 17293, 17109, 17307, -1,
 17293, 17307, 17321, -1, 17307, 17335, 17321, -1, 17321, 17335, 17391, -1,
 17321, 17391, 17377, -1, 12711, 15076, 12739, -1, 12739, 15076, 15065, -1,
 12739, 15065, 15037, -1, 15037, 15018, 12739, -1, 12739, 15018, 14990, -1,
 12739, 14990, 14962, -1, 14962, 14929, 12739, -1, 12739, 14929, 14927, -1,
 12739, 14927, 12746, -1, 12746, 14927, 14857, -1, 12746, 14857, 12771, -1,
 12771, 14857, 14850, -1, 12771, 14850, 12778, -1, 12778, 14850, 14822, -1,
 12778, 14822, 12803, -1, 12803, 14822, 14815, -1, 12803, 14815, 12810, -1,
 12810, 14815, 14766, -1, 12810, 14766, 12837, -1, 12837, 14766, 14759, -1,
 12837, 14759, 12844, -1, 12844, 14759, 14731, -1, 12844, 14731, 12869, -1,
 12869, 14731, 12878, -1, 12878, 14731, 14694, -1, 12878, 14694, 12907, -1,
 14694, 14675, 12907, -1, 12907, 14675, 14473, -1, 12907, 14473, 12915, -1,
 14928, 14858, 15110, -1, 14851, 14823, 15162, -1, 14816, 14767, 15266, -1,
 14676, 14474, 15454, -1, 15398, 14695, 14676, -1, 14760, 14732, 15370, -1,
 15370, 14732, 14695, -1, 14816, 15266, 14823, -1, 14851, 15162, 14858, -1,
 14928, 15110, 14930, -1, 14930, 15110, 15190, -1, 14930, 15190, 14963, -1,
 14963, 15190, 15294, -1, 14963, 15294, 14991, -1, 14991, 15294, 15426, -1,
 14991, 15426, 15019, -1, 15019, 15426, 15558, -1, 15019, 15558, 15038, -1,
 15038, 15558, 15734, -1, 15038, 15734, 15066, -1, 15066, 15734, 15762, -1,
 15066, 15762, 15077, -1, 14676, 15454, 15398, -1, 15398, 15454, 15658, -1,
 15398, 15658, 15978, -1, 15658, 16006, 15978, -1, 15978, 16006, 16214, -1,
 15978, 16214, 16426, -1, 16214, 16502, 16426, -1, 16426, 16502, 16662, -1,
 16426, 16662, 16818, -1, 16662, 16846, 16818, -1, 16818, 16846, 16978, -1,
 16818, 16978, 17082, -1, 17378, 17322, 17350, -1, 17350, 17322, 17190, -1,
 17350, 17190, 17218, -1, 17218, 17190, 17082, -1, 17218, 17082, 17138, -1,
 17138, 17082, 16978, -1, 14695, 15398, 15370, -1, 15370, 15398, 15978, -1,
 15370, 15978, 15922, -1, 15922, 15978, 16426, -1, 15922, 16426, 16370, -1,
 16370, 16426, 16818, -1, 16370, 16818, 16558, -1, 16558, 16818, 17082, -1,
 16558, 17082, 16874, -1, 16874, 17082, 17190, -1, 16874, 17190, 16950, -1,
 17322, 17294, 17190, -1, 17190, 17294, 17096, -1, 17190, 17096, 16950, -1,
 16950, 17096, 17054, -1, 16950, 17054, 16766, -1, 16766, 16634, 16950, -1,
 16950, 16634, 16530, -1, 16950, 16530, 16874, -1, 16874, 16530, 16398, -1,
 16874, 16398, 16558, -1, 16558, 16398, 16082, -1, 16558, 16082, 16370, -1,
 16370, 16082, 15818, -1, 16370, 15818, 15922, -1, 15922, 15818, 15266, -1,
 15922, 15266, 15370, -1, 15370, 15266, 14767, -1, 15370, 14767, 14760, -1,
 14823, 15266, 15162, -1, 15162, 15266, 15818, -1, 15162, 15818, 15482, -1,
 15482, 15818, 16082, -1, 15482, 16082, 15846, -1, 15846, 16082, 16398, -1,
 15846, 16398, 15950, -1, 15950, 16398, 16530, -1, 15950, 16530, 16110, -1,
 16110, 16530, 16634, -1, 16110, 16634, 16186, -1, 16766, 16738, 16634, -1,
 16634, 16738, 16342, -1, 16634, 16342, 16186, -1, 16186, 16342, 16314, -1,
 16186, 16314, 15790, -1, 14858, 15162, 15110, -1, 15110, 15162, 15482, -1,
 15110, 15482, 15190, -1, 15190, 15482, 15846, -1, 15190, 15846, 15294, -1,
 15294, 15846, 15950, -1, 15294, 15950, 15426, -1, 15426, 15950, 16110, -1,
 15426, 16110, 15558, -1, 15558, 16110, 16186, -1, 15558, 16186, 15734, -1,
 15734, 16186, 15790, -1, 15734, 15790, 15762, -1, 16977, 16845, 16817, -1,
 16661, 16501, 16425, -1, 16213, 16005, 15977, -1, 15657, 15453, 15397, -1,
 15733, 15065, 15076, -1, 14929, 15109, 14927, -1, 14927, 15109, 14857, -1,
 14857, 15109, 14850, -1, 14850, 15109, 15161, -1, 14850, 15161, 14822, -1,
 14822, 15161, 14815, -1, 14815, 15161, 15265, -1, 14815, 15265, 14766, -1,
 14766, 15265, 14759, -1, 14759, 15265, 15369, -1, 14759, 15369, 14731, -1,
 14731, 15369, 15397, -1, 14731, 15397, 14694, -1, 14694, 15397, 14675, -1,
 14675, 15397, 15453, -1, 14675, 15453, 14473, -1, 15076, 15761, 15733, -1,
 15733, 15761, 15789, -1, 15733, 15789, 16185, -1, 15789, 16313, 16185, -1,
 16185, 16313, 16341, -1, 16185, 16341, 16633, -1, 16341, 16737, 16633, -1,
 16633, 16737, 16765, -1, 16633, 16765, 16949, -1, 15037, 15065, 15557, -1,
 15557, 15065, 15733, -1, 15557, 15733, 16109, -1, 16109, 15733, 16185, -1,
 16109, 16185, 16529, -1, 16529, 16185, 16633, -1, 16529, 16633, 16873, -1,
 16873, 16633, 16949, -1, 16873, 16949, 17081, -1, 17081, 16949, 17189, -1,
 16005, 15657, 15977, -1, 15977, 15657, 15397, -1, 15977, 15397, 15921, -1,
 15921, 15397, 15369, -1, 15921, 15369, 15817, -1, 15817, 15369, 15265, -1,
 15817, 15265, 15481, -1, 15481, 15265, 15161, -1, 15481, 15161, 15189, -1,
 15189, 15161, 15109, -1, 15189, 15109, 14962, -1, 14962, 15109, 14929, -1,
 16501, 16213, 16425, -1, 16425, 16213, 15977, -1, 16425, 15977, 16369, -1,
 16369, 15977, 15921, -1, 16369, 15921, 16081, -1, 16081, 15921, 15817, -1,
 16081, 15817, 15845, -1, 15845, 15817, 15481, -1, 15845, 15481, 15293, -1,
 15293, 15481, 15189, -1, 15293, 15189, 14990, -1, 14990, 15189, 14962, -1,
 16845, 16661, 16817, -1, 16817, 16661, 16425, -1, 16817, 16425, 16557, -1,
 16557, 16425, 16369, -1, 16557, 16369, 16397, -1, 16397, 16369, 16081, -1,
 16397, 16081, 15949, -1, 15949, 16081, 15845, -1, 15949, 15845, 15425, -1,
 15425, 15845, 15293, -1, 15425, 15293, 15018, -1, 15018, 15293, 14990, -1,
 17137, 16977, 17081, -1, 17081, 16977, 16817, -1, 17081, 16817, 16873, -1,
 16873, 16817, 16557, -1, 16873, 16557, 16529, -1, 16529, 16557, 16397, -1,
 16529, 16397, 16109, -1, 16109, 16397, 15949, -1, 16109, 15949, 15557, -1,
 15557, 15949, 15425, -1, 15557, 15425, 15037, -1, 15037, 15425, 15018, -1,
 16765, 17053, 16949, -1, 16949, 17053, 17095, -1, 16949, 17095, 17189, -1,
 17189, 17095, 17293, -1, 17189, 17293, 17321, -1, 17137, 17081, 17217, -1,
 17217, 17081, 17189, -1, 17217, 17189, 17349, -1, 17349, 17189, 17321, -1,
 17349, 17321, 17377, -1, 14474, 14473, 15454, -1, 15454, 14473, 15453, -1,
 15454, 15453, 15658, -1, 15658, 15453, 15657, -1, 15658, 15657, 16006, -1,
 16006, 15657, 16005, -1, 16006, 16005, 16214, -1, 16214, 16005, 16213, -1,
 16214, 16213, 16502, -1, 16502, 16213, 16501, -1, 16502, 16501, 16662, -1,
 16662, 16501, 16661, -1, 16662, 16661, 16846, -1, 16846, 16661, 16845, -1,
 16846, 16845, 16978, -1, 16978, 16845, 16977, -1, 16978, 16977, 17138, -1,
 17138, 16977, 17137, -1, 17138, 17137, 17218, -1, 17218, 17137, 17217, -1,
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