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 1873, 1855, 1856, -1, 1873, 1856, 1827, -1, 1856, 1821, 1827, -1,
 1827, 1821, 1795, -1, 1827, 1795, 1753, -1, 1795, 1747, 1753, -1,
 1753, 1747, 1719, -1, 1753, 1719, 1669, -1, 1071, 1343, 1361, -1,
 1361, 1343, 1550, -1, 1361, 1550, 1569, -1, 1569, 1550, 1575, -1,
 1569, 1575, 1631, -1, 1631, 1575, 1669, -1, 1631, 1669, 1663, -1,
 1663, 1669, 1719, -1, 4064, 4020, 4208, -1, 4208, 4020, 3903, -1,
 3728, 3743, 4208, -1, 4208, 3743, 3746, -1, 3665, 3689, 3903, -1,
 3903, 3689, 3701, -1, 3903, 3701, 4208, -1, 4208, 3701, 3718, -1,
 4208, 3718, 3728, -1, 3903, 3623, 3665, -1, 3665, 3623, 2794, -1,
 3665, 2794, 2853, -1, 2853, 2794, 2670, -1, 2853, 2670, 2666, -1,
 4172, 4184, 4176, -1, 4176, 4184, 4180, -1, 4172, 4164, 4184, -1,
 4184, 4164, 4140, -1, 4184, 4140, 4208, -1, 4208, 4140, 4100, -1,
 4208, 4100, 4064, -1, 2666, 2662, 2853, -1, 2853, 2662, 2664, -1,
 2853, 2664, 2790, -1, 2664, 2668, 2672, -1, 3746, 3747, 4208, -1,
 4208, 3747, 3904, -1, 4208, 3904, 4209, -1, 4209, 3904, 4021, -1,
 4209, 4021, 4065, -1, 2672, 2698, 2664, -1, 2664, 2698, 2703, -1,
 2664, 2703, 2790, -1, 4065, 4101, 4209, -1, 4209, 4101, 4141, -1,
 4209, 4141, 4185, -1, 4185, 4141, 4165, -1, 4165, 4173, 4185, -1,
 4185, 4173, 4177, -1, 4185, 4177, 4181, -1, 4207, 4206, 4209, -1,
 4209, 4206, 4208, -1, 3771, 3769, 3772, -1, 3772, 3769, 3770, -1,
 4186, 4187, 3836, -1, 3780, 3770, 3836, -1, 3831, 3821, 3807, -1,
 4186, 3836, 3835, -1, 3835, 3836, 3770, -1, 3835, 3770, 3769, -1,
 3831, 3807, 3836, -1, 3836, 3807, 3793, -1, 3836, 3793, 3780, -1,
 3792, 3806, 3779, -1, 3779, 3806, 3820, -1, 3779, 3820, 3769, -1,
 3769, 3820, 3830, -1, 3769, 3830, 3835, -1, 1729, 1554, 1555, -1,
 2274, 1548, 1549, -1, 4200, 1826, 4201, -1, 4201, 1826, 1873, -1,
 4201, 1873, 1827, -1, 1549, 1574, 2274, -1, 2274, 1574, 1668, -1,
 2274, 1668, 4200, -1, 4200, 1668, 1752, -1, 4200, 1752, 1826, -1,
 3162, 2966, 3101, -1, 1550, 1551, 1575, -1, 1575, 1551, 2784, -1,
 1575, 2784, 1669, -1, 3797, 3529, 3101, -1, 3101, 3529, 3347, -1,
 3101, 3347, 3162, -1, 3161, 4201, 2965, -1, 2965, 4201, 1827, -1,
 2965, 1827, 2784, -1, 2784, 1827, 1753, -1, 2784, 1753, 1669, -1,
 3161, 3346, 4201, -1, 4201, 3346, 3528, -1, 4201, 3528, 4122, -1,
 3528, 3612, 4122, -1, 4122, 3612, 3626, -1, 4122, 3626, 3797, -1,
 3797, 3626, 3613, -1, 3797, 3613, 3529, -1, 2785, 1552, 1553, -1,
 2412, 1945, 2394, -1, 2394, 1945, 1729, -1, 2394, 1729, 2392, -1,
 2392, 1729, 1555, -1, 1553, 1728, 2785, -1, 2785, 1728, 1944, -1,
 2785, 1944, 2966, -1, 2966, 1944, 2020, -1, 2966, 2020, 3101, -1,
 3101, 2020, 2052, -1, 3101, 2052, 2585, -1, 2052, 2064, 2585, -1,
 2585, 2064, 2053, -1, 2585, 2053, 2412, -1, 2412, 2053, 2021, -1,
 2412, 2021, 1945, -1, 2074, 2069, 2145, -1, 2145, 2069, 2136, -1,
 2145, 2136, 2143, -1, 2074, 2071, 2069, -1, 2069, 2071, 2066, -1,
 2069, 2066, 2068, -1, 2066, 2070, 2068, -1, 2068, 2070, 2073, -1,
 2068, 2073, 2135, -1, 2135, 2073, 2144, -1, 2135, 2144, 2142, -1,
 2135, 1556, 1557, -1, 2022, 2068, 1946, -1, 1946, 2068, 2135, -1,
 1946, 2135, 1730, -1, 1730, 2135, 1557, -1, 2022, 2054, 2068, -1,
 2068, 2054, 2065, -1, 2068, 2065, 2069, -1, 1558, 1559, 1731, -1,
 1731, 1559, 2136, -1, 2065, 2055, 2069, -1, 2069, 2055, 2023, -1,
 2069, 2023, 2136, -1, 2136, 2023, 1947, -1, 2136, 1947, 1731, -1,
 3557, 4035, 3556, -1, 3556, 4035, 4034, -1, 2846, 2969, 3839, -1,
 3839, 2969, 3869, -1, 3869, 2969, 3871, -1, 3871, 2969, 2979, -1,
 3871, 2979, 3910, -1, 2979, 3141, 3910, -1, 3910, 3141, 3153, -1,
 3910, 3153, 3914, -1, 3914, 3153, 3284, -1, 3914, 3284, 3952, -1,
 3952, 3284, 3315, -1, 3952, 3315, 3954, -1, 3954, 3315, 3398, -1,
 3954, 3398, 3976, -1, 3398, 3422, 3976, -1, 3976, 3422, 3460, -1,
 3976, 3460, 3978, -1, 3978, 3460, 3506, -1, 3978, 3506, 3990, -1,
 3990, 3506, 4006, -1, 3506, 3516, 4006, -1, 4006, 3516, 3548, -1,
 4006, 3548, 4012, -1, 4012, 3548, 3556, -1, 4012, 3556, 4024, -1,
 4024, 3556, 4034, -1, 3557, 3550, 4008, -1, 4008, 4010, 3557, -1,
 3557, 4010, 4022, -1, 3557, 4022, 4035, -1, 3550, 3518, 4008, -1,
 4008, 3518, 3504, -1, 4008, 3504, 3992, -1, 3992, 3504, 3980, -1,
 3980, 3504, 3458, -1, 3980, 3458, 3974, -1, 3143, 2975, 3867, -1,
 3458, 3418, 3974, -1, 3974, 3418, 3400, -1, 3974, 3400, 3956, -1,
 3956, 3400, 3313, -1, 3956, 3313, 3950, -1, 3950, 3313, 3286, -1,
 3950, 3286, 3916, -1, 3916, 3286, 3149, -1, 3916, 3149, 3908, -1,
 3908, 3149, 3143, -1, 3908, 3143, 3873, -1, 3873, 3143, 3867, -1,
 2975, 2971, 3867, -1, 3867, 2971, 2847, -1, 3867, 2847, 3840, -1,
 2869, 2705, 2715, -1, 2715, 2705, 2673, -1, 2715, 2673, 2683, -1,
 2683, 2673, 2641, -1, 2683, 2641, 2651, -1, 2651, 2641, 2621, -1,
 2651, 2621, 2631, -1, 2631, 2621, 2601, -1, 2631, 2601, 2611, -1,
 2611, 2601, 2591, -1, 2611, 2591, 2596, -1, 2596, 2591, 2602, -1,
 2596, 2602, 2612, -1, 2612, 2602, 2622, -1, 2612, 2622, 2632, -1,
 2632, 2622, 2642, -1, 2632, 2642, 2652, -1, 2652, 2642, 2674, -1,
 2652, 2674, 2684, -1, 2684, 2674, 2706, -1, 2684, 2706, 2716, -1,
 2716, 2706, 2856, -1, 2716, 2856, 2870, -1, 2870, 2856, 2914, -1,
 2870, 2914, 2924, -1, 2924, 2914, 2996, -1, 2924, 2996, 3006, -1,
 3006, 2996, 3066, -1, 3006, 3066, 3076, -1, 3076, 3066, 3114, -1,
 3076, 3114, 3124, -1, 3124, 3114, 3166, -1, 3124, 3166, 3176, -1,
 3176, 3166, 3197, -1, 3176, 3197, 3202, -1, 3202, 3197, 3165, -1,
 3202, 3165, 3175, -1, 3175, 3165, 3113, -1, 3175, 3113, 3123, -1,
 3123, 3113, 3065, -1, 3123, 3065, 3075, -1, 3075, 3065, 2995, -1,
 3075, 2995, 3005, -1, 3005, 2995, 2913, -1, 3005, 2913, 2923, -1,
 2923, 2913, 2854, -1, 2923, 2854, 2869, -1, 2869, 2854, 2705, -1,
 2996, 2914, 2855, -1, 2855, 2914, 2856, -1, 2855, 2856, 2706, -1,
 3166, 3114, 2855, -1, 2855, 3114, 3066, -1, 2855, 3066, 2996, -1,
 3113, 3165, 2855, -1, 2855, 3165, 3197, -1, 2855, 3197, 3166, -1,
 2913, 2995, 2855, -1, 2855, 2995, 3065, -1, 2855, 3065, 3113, -1,
 2673, 2705, 2855, -1, 2855, 2705, 2854, -1, 2855, 2854, 2913, -1,
 2601, 2621, 2855, -1, 2855, 2621, 2641, -1, 2855, 2641, 2673, -1,
 2622, 2602, 2855, -1, 2855, 2602, 2591, -1, 2855, 2591, 2601, -1,
 2706, 2674, 2855, -1, 2855, 2674, 2642, -1, 2855, 2642, 2622, -1,
 2871, 2707, 2717, -1, 2717, 2707, 2675, -1, 2717, 2675, 2685, -1,
 2685, 2675, 2643, -1, 2685, 2643, 2653, -1, 2653, 2643, 2623, -1,
 2653, 2623, 2633, -1, 2633, 2623, 2603, -1, 2633, 2603, 2613, -1,
 2613, 2603, 2592, -1, 2613, 2592, 2597, -1, 2597, 2592, 2604, -1,
 2597, 2604, 2614, -1, 2614, 2604, 2624, -1, 2614, 2624, 2634, -1,
 2634, 2624, 2644, -1, 2634, 2644, 2654, -1, 2654, 2644, 2676, -1,
 2654, 2676, 2686, -1, 2686, 2676, 2708, -1, 2686, 2708, 2718, -1,
 2718, 2708, 2859, -1, 2718, 2859, 2872, -1, 2872, 2859, 2916, -1,
 2872, 2916, 2926, -1, 2926, 2916, 2998, -1, 2926, 2998, 3008, -1,
 3008, 2998, 3068, -1, 3008, 3068, 3078, -1, 3078, 3068, 3116, -1,
 3078, 3116, 3126, -1, 3126, 3116, 3168, -1, 3126, 3168, 3178, -1,
 3178, 3168, 3198, -1, 3178, 3198, 3203, -1, 3203, 3198, 3167, -1,
 3203, 3167, 3177, -1, 3177, 3167, 3115, -1, 3177, 3115, 3125, -1,
 3125, 3115, 3067, -1, 3125, 3067, 3077, -1, 3077, 3067, 2997, -1,
 3077, 2997, 3007, -1, 3007, 2997, 2915, -1, 3007, 2915, 2925, -1,
 2925, 2915, 2857, -1, 2925, 2857, 2871, -1, 2871, 2857, 2707, -1,
 2998, 2916, 2858, -1, 2858, 2916, 2859, -1, 2858, 2859, 2708, -1,
 3168, 3116, 2858, -1, 2858, 3116, 3068, -1, 2858, 3068, 2998, -1,
 3115, 3167, 2858, -1, 2858, 3167, 3198, -1, 2858, 3198, 3168, -1,
 2915, 2997, 2858, -1, 2858, 2997, 3067, -1, 2858, 3067, 3115, -1,
 2675, 2707, 2858, -1, 2858, 2707, 2857, -1, 2858, 2857, 2915, -1,
 2603, 2623, 2858, -1, 2858, 2623, 2643, -1, 2858, 2643, 2675, -1,
 2624, 2604, 2858, -1, 2858, 2604, 2592, -1, 2858, 2592, 2603, -1,
 2708, 2676, 2858, -1, 2858, 2676, 2644, -1, 2858, 2644, 2624, -1,
 10, 11, 30, -1, 30, 11, 31, -1, 1486, 1477, 2361, -1,
 2361, 1477, 2848, -1, 2361, 2848, 2363, -1, 2363, 2848, 3841, -1,
 17, 37, 16, -1, 16, 37, 36, -1, 13, 33, 12, -1,
 12, 33, 32, -1, 15, 35, 14, -1, 14, 35, 34, -1,
 19, 39, 18, -1, 18, 39, 38, -1, 1490, 1481, 4189, -1,
 4189, 1481, 3683, -1, 4189, 3683, 3714, -1, 3714, 3773, 4189, -1,
 4189, 3773, 3815, -1, 4189, 3815, 3829, -1, 3836, 4187, 3837, -1,
 3837, 4187, 4189, -1, 3837, 4189, 3834, -1, 3834, 4189, 3829, -1,
 2752, 2756, 1479, -1, 1479, 2756, 1488, -1, 2756, 2752, 2891, -1,
 2891, 2752, 2887, -1, 2891, 2887, 3043, -1, 3043, 2887, 3039, -1,
 3043, 3039, 3195, -1, 3195, 3039, 3191, -1, 3195, 3191, 3273, -1,
 3273, 3191, 3269, -1, 3273, 3269, 3340, -1, 3340, 3269, 3336, -1,
 3340, 3336, 3367, -1, 3367, 3336, 3365, -1, 3367, 3365, 3341, -1,
 3341, 3365, 3337, -1, 3341, 3337, 3274, -1, 3274, 3337, 3270, -1,
 3274, 3270, 3196, -1, 3196, 3270, 3192, -1, 3196, 3192, 3044, -1,
 3044, 3192, 3040, -1, 3044, 3040, 2892, -1, 2892, 3040, 2888, -1,
 2892, 2888, 2757, -1, 2757, 2888, 2753, -1, 1480, 1489, 2753, -1,
 2753, 1489, 2757, -1, 52, 184, 418, -1, 277, 180, 399, -1,
 399, 180, 123, -1, 399, 123, 43, -1, 606, 468, 399, -1,
 399, 468, 340, -1, 399, 340, 277, -1, 43, 33, 399, -1,
 399, 33, 13, -1, 399, 13, 652, -1, 606, 399, 729, -1,
 729, 399, 652, -1, 729, 652, 812, -1, 812, 652, 804, -1,
 812, 804, 1078, -1, 1078, 804, 1362, -1, 1078, 1362, 1341, -1,
 808, 823, 1363, -1, 653, 14, 34, -1, 184, 352, 418, -1,
 418, 352, 547, -1, 418, 547, 808, -1, 1363, 805, 808, -1,
 808, 805, 653, -1, 808, 653, 418, -1, 418, 653, 34, -1,
 418, 34, 52, -1, 1341, 1362, 1561, -1, 1561, 1362, 1570, -1,
 1561, 1570, 1576, -1, 1576, 1570, 1632, -1, 1576, 1632, 1670, -1,
 1632, 1664, 1670, -1, 1670, 1664, 1720, -1, 1670, 1720, 1754, -1,
 1720, 1748, 1754, -1, 1754, 1748, 1796, -1, 1754, 1796, 1828, -1,
 1796, 1822, 1828, -1, 1828, 1822, 1857, -1, 1828, 1857, 1874, -1,
 1857, 1858, 1874, -1, 1874, 1858, 1859, -1, 1874, 1859, 1829, -1,
 1859, 1823, 1829, -1, 1829, 1823, 1797, -1, 1829, 1797, 1755, -1,
 1797, 1749, 1755, -1, 1755, 1749, 1721, -1, 1755, 1721, 1671, -1,
 823, 1207, 1363, -1, 1363, 1207, 1562, -1, 1363, 1562, 1571, -1,
 1571, 1562, 1577, -1, 1571, 1577, 1633, -1, 1633, 1577, 1671, -1,
 1633, 1671, 1665, -1, 1665, 1671, 1721, -1, 2543, 3842, 2541, -1,
 2541, 3842, 2849, -1, 2541, 2849, 1487, -1, 1487, 2849, 1478, -1,
 53, 185, 419, -1, 280, 181, 400, -1, 400, 181, 126, -1,
 400, 126, 44, -1, 607, 471, 400, -1, 400, 471, 341, -1,
 400, 341, 280, -1, 44, 37, 400, -1, 400, 37, 17, -1,
 400, 17, 654, -1, 607, 400, 732, -1, 732, 400, 654, -1,
 732, 654, 813, -1, 813, 654, 806, -1, 813, 806, 1081, -1,
 1081, 806, 1364, -1, 1081, 1364, 1342, -1, 809, 824, 1365, -1,
 655, 18, 38, -1, 185, 353, 419, -1, 419, 353, 548, -1,
 419, 548, 809, -1, 1365, 807, 809, -1, 809, 807, 655, -1,
 809, 655, 419, -1, 419, 655, 38, -1, 419, 38, 53, -1,
 1342, 1364, 1565, -1, 1565, 1364, 1572, -1, 1565, 1572, 1578, -1,
 1578, 1572, 1634, -1, 1578, 1634, 1672, -1, 1634, 1666, 1672, -1,
 1672, 1666, 1722, -1, 1672, 1722, 1756, -1, 1722, 1750, 1756, -1,
 1756, 1750, 1798, -1, 1756, 1798, 1830, -1, 1798, 1824, 1830, -1,
 1830, 1824, 1860, -1, 1830, 1860, 1875, -1, 1860, 1861, 1875, -1,
 1875, 1861, 1862, -1, 1875, 1862, 1831, -1, 1862, 1825, 1831, -1,
 1831, 1825, 1799, -1, 1831, 1799, 1757, -1, 1799, 1751, 1757, -1,
 1757, 1751, 1723, -1, 1757, 1723, 1673, -1, 824, 1208, 1365, -1,
 1365, 1208, 1566, -1, 1365, 1566, 1573, -1, 1573, 1566, 1579, -1,
 1573, 1579, 1635, -1, 1635, 1579, 1673, -1, 1635, 1673, 1667, -1,
 1667, 1673, 1723, -1, 2395, 2393, 1670, -1, 1830, 1875, 2968, -1,
 1560, 1561, 2393, -1, 2393, 1561, 1576, -1, 2393, 1576, 1670, -1,
 2395, 1670, 2413, -1, 2413, 1670, 1754, -1, 2413, 1754, 2586, -1,
 1562, 1563, 1577, -1, 1577, 1563, 2786, -1, 1577, 2786, 1671, -1,
 4202, 3349, 3164, -1, 4123, 3615, 4202, -1, 4202, 3615, 3531, -1,
 4202, 3531, 3349, -1, 1831, 4203, 1875, -1, 1875, 4203, 4202, -1,
 1875, 4202, 2968, -1, 2968, 4202, 3164, -1, 1830, 2968, 1756, -1,
 1756, 2968, 2787, -1, 1756, 2787, 1672, -1, 2786, 2967, 3102, -1,
 2967, 3163, 3102, -1, 3102, 3163, 3348, -1, 3102, 3348, 3798, -1,
 1831, 1757, 4203, -1, 4203, 1757, 1673, -1, 4203, 1673, 1567, -1,
 1567, 1673, 1579, -1, 1567, 1579, 1566, -1, 3348, 3530, 3798, -1,
 3798, 3530, 3614, -1, 3798, 3614, 4123, -1, 4123, 3614, 3627, -1,
 4123, 3627, 3615, -1, 1564, 1565, 2787, -1, 2787, 1565, 1578, -1,
 2787, 1578, 1672, -1, 1754, 1828, 2586, -1, 2586, 1828, 1874, -1,
 2586, 1874, 3102, -1, 3102, 1874, 1829, -1, 3102, 1829, 2786, -1,
 2786, 1829, 1755, -1, 2786, 1755, 1671, -1, 3559, 4037, 3558, -1,
 3558, 4037, 4036, -1, 3559, 3551, 4009, -1, 4009, 4011, 3559, -1,
 3559, 4011, 4023, -1, 3559, 4023, 4037, -1, 3551, 3519, 4009, -1,
 4009, 3519, 3505, -1, 4009, 3505, 3993, -1, 3993, 3505, 3981, -1,
 3981, 3505, 3459, -1, 3981, 3459, 3975, -1, 3144, 2976, 3868, -1,
 3459, 3419, 3975, -1, 3975, 3419, 3401, -1, 3975, 3401, 3957, -1,
 3957, 3401, 3314, -1, 3957, 3314, 3951, -1, 3951, 3314, 3287, -1,
 3951, 3287, 3917, -1, 3917, 3287, 3150, -1, 3917, 3150, 3909, -1,
 3909, 3150, 3144, -1, 3909, 3144, 3874, -1, 3874, 3144, 3868, -1,
 2976, 2972, 3868, -1, 3868, 2972, 2849, -1, 3868, 2849, 3842, -1,
 2848, 2970, 3841, -1, 3841, 2970, 3870, -1, 3870, 2970, 3872, -1,
 3872, 2970, 2980, -1, 3872, 2980, 3911, -1, 2980, 3142, 3911, -1,
 3911, 3142, 3154, -1, 3911, 3154, 3915, -1, 3915, 3154, 3285, -1,
 3915, 3285, 3953, -1, 3953, 3285, 3316, -1, 3953, 3316, 3955, -1,
 3955, 3316, 3399, -1, 3955, 3399, 3977, -1, 3399, 3423, 3977, -1,
 3977, 3423, 3461, -1, 3977, 3461, 3979, -1, 3979, 3461, 3507, -1,
 3979, 3507, 3991, -1, 3991, 3507, 4007, -1, 3507, 3517, 4007, -1,
 4007, 3517, 3549, -1, 4007, 3549, 4013, -1, 4013, 3549, 3558, -1,
 4013, 3558, 4025, -1, 4025, 3558, 4036, -1, 2878, 2922, 2932, -1,
 2932, 2922, 3004, -1, 2932, 3004, 3014, -1, 3014, 3004, 3074, -1,
 3014, 3074, 3084, -1, 3084, 3074, 3122, -1, 3084, 3122, 3132, -1,
 3132, 3122, 3174, -1, 3132, 3174, 3184, -1, 3184, 3174, 3201, -1,
 3184, 3201, 3206, -1, 3206, 3201, 3173, -1, 3206, 3173, 3183, -1,
 3183, 3173, 3121, -1, 3183, 3121, 3131, -1, 3131, 3121, 3073, -1,
 3131, 3073, 3083, -1, 3083, 3073, 3003, -1, 3083, 3003, 3013, -1,
 3013, 3003, 2921, -1, 3013, 2921, 2931, -1, 2931, 2921, 2866, -1,
 2931, 2866, 2877, -1, 2877, 2866, 2713, -1, 2877, 2713, 2723, -1,
 2723, 2713, 2681, -1, 2723, 2681, 2691, -1, 2691, 2681, 2649, -1,
 2691, 2649, 2659, -1, 2659, 2649, 2629, -1, 2659, 2629, 2639, -1,
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 2619, 2595, 2600, -1, 2600, 2595, 2610, -1, 2600, 2610, 2620, -1,
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 5389, 5417, 5485, -1, 5389, 5485, 5475, -1, 5475, 5485, 5645, -1,
 5475, 5645, 5637, -1, 5637, 5645, 5797, -1, 5637, 5797, 5789, -1,
 5789, 5797, 5924, -1, 5789, 5924, 5920, -1, 5915, 5788, 5756, -1,
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 5283, 5304, 5258, -1, 5258, 5304, 5321, -1, 5258, 5321, 5284, -1,
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 5368, 5475, 5454, -1, 5454, 5475, 5637, -1, 5454, 5637, 5601, -1,
 5601, 5637, 5789, -1, 5601, 5789, 5757, -1, 5757, 5789, 5920, -1,
 5757, 5920, 5916, -1, 5911, 5756, 5748, -1, 5748, 5756, 5600, -1,
 5748, 5600, 5589, -1, 5589, 5600, 5453, -1, 5589, 5453, 5438, -1,
 5438, 5453, 5367, -1, 5438, 5367, 5312, -1, 5312, 5367, 5283, -1,
 5312, 5283, 5230, -1, 5230, 5283, 5258, -1, 5230, 5258, 5187, -1,
 5187, 5258, 5284, -1, 5187, 5284, 5231, -1, 5231, 5284, 5368, -1,
 5231, 5368, 5313, -1, 5313, 5368, 5454, -1, 5313, 5454, 5439, -1,
 5439, 5454, 5601, -1, 5439, 5601, 5590, -1, 5590, 5601, 5757, -1,
 5590, 5757, 5749, -1, 5749, 5757, 5916, -1, 5749, 5916, 5912, -1,
 5907, 5748, 5739, -1, 5739, 5748, 5589, -1, 5739, 5589, 5559, -1,
 5559, 5589, 5438, -1, 5559, 5438, 5405, -1, 5405, 5438, 5312, -1,
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 5265, 5313, 5439, -1, 5265, 5439, 5406, -1, 5406, 5439, 5590, -1,
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 5740, 5749, 5912, -1, 5740, 5912, 5908, -1, 5903, 5739, 5731, -1,
 5731, 5739, 5559, -1, 5731, 5559, 5536, -1, 5536, 5559, 5405, -1,
 5536, 5405, 5350, -1, 5350, 5405, 5264, -1, 5350, 5264, 5179, -1,
 5179, 5264, 5140, -1, 5179, 5140, 5094, -1, 5094, 5140, 5118, -1,
 5094, 5118, 5082, -1, 5082, 5118, 5141, -1, 5082, 5141, 5095, -1,
 5095, 5141, 5265, -1, 5095, 5265, 5180, -1, 5180, 5265, 5406, -1,
 5180, 5406, 5351, -1, 5351, 5406, 5560, -1, 5351, 5560, 5537, -1,
 5537, 5560, 5740, -1, 5537, 5740, 5732, -1, 5732, 5740, 5908, -1,
 5732, 5908, 5904, -1, 5928, 6680, 6670, -1, 6630, 6612, 6366, -1,
 5928, 6670, 5924, -1, 5924, 6670, 6660, -1, 5924, 6660, 5920, -1,
 5920, 6660, 6650, -1, 5920, 6650, 5916, -1, 5916, 6650, 6640, -1,
 5916, 6640, 5912, -1, 5912, 6640, 6630, -1, 5912, 6630, 5908, -1,
 5908, 6630, 6366, -1, 5908, 6366, 5904, -1, 6612, 6630, 6934, -1,
 6944, 6816, 6856, -1, 6680, 7012, 6954, -1, 6856, 6816, 6680, -1,
 6770, 6680, 6816, -1, 6770, 6816, 6806, -1, 6806, 6816, 6944, -1,
 6806, 6944, 6846, -1, 6670, 6680, 6770, -1, 7060, 6904, 7104, -1,
 7104, 6904, 6954, -1, 7104, 6954, 7168, -1, 7168, 6954, 7012, -1,
 7168, 7012, 7229, -1, 6670, 6770, 6660, -1, 6660, 6770, 6806, -1,
 6660, 6806, 6650, -1, 6650, 6806, 6846, -1, 6650, 6846, 6640, -1,
 7050, 7060, 7219, -1, 7219, 7060, 7104, -1, 7219, 7104, 7300, -1,
 7300, 7104, 7168, -1, 7300, 7168, 7348, -1, 7348, 7168, 7229, -1,
 7348, 7229, 7396, -1, 6894, 7050, 7094, -1, 7094, 7050, 7219, -1,
 7094, 7219, 7290, -1, 7290, 7219, 7300, -1, 7290, 7300, 7452, -1,
 7452, 7300, 7348, -1, 7452, 7348, 7508, -1, 7508, 7348, 7396, -1,
 7508, 7396, 7556, -1, 6630, 6894, 6934, -1, 6934, 6894, 7094, -1,
 6934, 7094, 7158, -1, 7158, 7094, 7290, -1, 7158, 7290, 7338, -1,
 7338, 7290, 7452, -1, 7338, 7452, 7498, -1, 7498, 7452, 7508, -1,
 7498, 7508, 7618, -1, 7618, 7508, 7556, -1, 7618, 7556, 7656, -1,
 6612, 6934, 6996, -1, 6996, 6934, 7158, -1, 6996, 7158, 7205, -1,
 7205, 7158, 7338, -1, 7205, 7338, 7380, -1, 7380, 7338, 7498, -1,
 7380, 7498, 7540, -1, 7540, 7498, 7618, -1, 7540, 7618, 7640, -1,
 7640, 7618, 7656, -1, 7640, 7656, 7720, -1, 6904, 6680, 6954, -1,
 6630, 6640, 6894, -1, 6894, 6640, 6846, -1, 6894, 6846, 7050, -1,
 7050, 6846, 6944, -1, 7050, 6944, 7060, -1, 7060, 6944, 6856, -1,
 7060, 6856, 6904, -1, 6904, 6856, 6680, -1, 6996, 7205, 7206, -1,
 7206, 7138, 6996, -1, 6996, 7138, 6997, -1, 6996, 6997, 6612, -1,
 6612, 6997, 6795, -1, 6612, 6795, 6613, -1, 7380, 7540, 7541, -1,
 7541, 7481, 7380, -1, 7380, 7481, 7381, -1, 7380, 7381, 7205, -1,
 7205, 7381, 7273, -1, 7205, 7273, 7206, -1, 7640, 7720, 7721, -1,
 7721, 7704, 7640, -1, 7640, 7704, 7641, -1, 7640, 7641, 7540, -1,
 7540, 7641, 7602, -1, 7540, 7602, 7541, -1, 6992, 7202, 7203, -1,
 7203, 7136, 6992, -1, 6992, 7136, 6993, -1, 6992, 6993, 6608, -1,
 6608, 6993, 6794, -1, 6608, 6794, 6609, -1, 7376, 7536, 7537, -1,
 7537, 7480, 7376, -1, 7376, 7480, 7377, -1, 7376, 7377, 7202, -1,
 7202, 7377, 7272, -1, 7202, 7272, 7203, -1, 7636, 7716, 7717, -1,
 7717, 7703, 7636, -1, 7636, 7703, 7637, -1, 7636, 7637, 7536, -1,
 7536, 7637, 7600, -1, 7536, 7600, 7537, -1, 6608, 6628, 6932, -1,
 6942, 6814, 6854, -1, 6678, 7010, 6952, -1, 6854, 6814, 6678, -1,
 6768, 6678, 6814, -1, 6768, 6814, 6804, -1, 6804, 6814, 6942, -1,
 6804, 6942, 6844, -1, 6668, 6678, 6768, -1, 7058, 6902, 7102, -1,
 7102, 6902, 6952, -1, 7102, 6952, 7166, -1, 7166, 6952, 7010, -1,
 7166, 7010, 7227, -1, 6668, 6768, 6658, -1, 6658, 6768, 6804, -1,
 6658, 6804, 6648, -1, 6648, 6804, 6844, -1, 6648, 6844, 6638, -1,
 7048, 7058, 7217, -1, 7217, 7058, 7102, -1, 7217, 7102, 7298, -1,
 7298, 7102, 7166, -1, 7298, 7166, 7346, -1, 7346, 7166, 7227, -1,
 7346, 7227, 7394, -1, 6892, 7048, 7092, -1, 7092, 7048, 7217, -1,
 7092, 7217, 7288, -1, 7288, 7217, 7298, -1, 7288, 7298, 7450, -1,
 7450, 7298, 7346, -1, 7450, 7346, 7506, -1, 7506, 7346, 7394, -1,
 7506, 7394, 7554, -1, 6628, 6892, 6932, -1, 6932, 6892, 7092, -1,
 6932, 7092, 7156, -1, 7156, 7092, 7288, -1, 7156, 7288, 7336, -1,
 7336, 7288, 7450, -1, 7336, 7450, 7496, -1, 7496, 7450, 7506, -1,
 7496, 7506, 7616, -1, 7616, 7506, 7554, -1, 7616, 7554, 7654, -1,
 6608, 6932, 6992, -1, 6992, 6932, 7156, -1, 6992, 7156, 7202, -1,
 7202, 7156, 7336, -1, 7202, 7336, 7376, -1, 7376, 7336, 7496, -1,
 7376, 7496, 7536, -1, 7536, 7496, 7616, -1, 7536, 7616, 7636, -1,
 7636, 7616, 7654, -1, 7636, 7654, 7716, -1, 6902, 6678, 6952, -1,
 6628, 6638, 6892, -1, 6892, 6638, 6844, -1, 6892, 6844, 7048, -1,
 7048, 6844, 6942, -1, 7048, 6942, 7058, -1, 7058, 6942, 6854, -1,
 7058, 6854, 6902, -1, 6902, 6854, 6678, -1, 1358, 1557, 1226, -1,
 1234, 1350, 1358, -1, 1242, 1294, 1302, -1, 1040, 1160, 1002, -1,
 1002, 1160, 1168, -1, 1294, 1242, 1286, -1, 1286, 1242, 918, -1,
 1286, 918, 1168, -1, 1040, 1002, 1032, -1, 1032, 1002, 820, -1,
 1032, 820, 1024, -1, 1024, 962, 1016, -1, 1016, 962, 892, -1,
 1016, 892, 994, -1, 994, 892, 758, -1, 994, 758, 986, -1,
 986, 758, 668, -1, 986, 668, 978, -1, 978, 668, 640, -1,
 978, 640, 970, -1, 1358, 1226, 1234, -1, 1234, 1226, 1098, -1,
 1234, 1098, 900, -1, 1098, 884, 900, -1, 900, 884, 744, -1,
 900, 744, 614, -1, 744, 559, 614, -1, 614, 559, 483, -1,
 614, 483, 378, -1, 483, 360, 378, -1, 378, 360, 288, -1,
 378, 288, 230, -1, 60, 158, 146, -1, 146, 158, 230, -1,
 146, 230, 192, -1, 192, 230, 288, -1, 60, 29, 78, -1,
 60, 78, 158, -1, 158, 78, 86, -1, 158, 86, 214, -1,
 214, 298, 158, -1, 158, 298, 348, -1, 158, 348, 230, -1,
 230, 348, 494, -1, 230, 494, 378, -1, 378, 494, 648, -1,
 378, 648, 614, -1, 614, 648, 918, -1, 614, 918, 900, -1,
 900, 918, 1242, -1, 900, 1242, 1234, -1, 1234, 1242, 1302, -1,
 1234, 1302, 1350, -1, 1168, 918, 1002, -1, 1002, 918, 648, -1,
 1002, 648, 820, -1, 820, 648, 494, -1, 820, 494, 622, -1,
 622, 494, 348, -1, 622, 348, 538, -1, 538, 348, 298, -1,
 538, 298, 430, -1, 214, 222, 298, -1, 298, 222, 408, -1,
 298, 408, 430, -1, 430, 408, 416, -1, 430, 416, 632, -1,
 1024, 820, 962, -1, 962, 820, 622, -1, 962, 622, 892, -1,
 892, 622, 538, -1, 892, 538, 758, -1, 758, 538, 430, -1,
 758, 430, 668, -1, 668, 430, 632, -1, 668, 632, 640, -1,
 29, 9, 74, -1, 966, 970, 636, -1, 636, 970, 640, -1,
 636, 640, 628, -1, 628, 640, 632, -1, 628, 632, 412, -1,
 412, 632, 416, -1, 412, 416, 404, -1, 404, 416, 408, -1,
 404, 408, 218, -1, 218, 408, 222, -1, 218, 222, 210, -1,
 210, 222, 214, -1, 210, 214, 82, -1, 82, 214, 86, -1,
 82, 86, 74, -1, 74, 86, 78, -1, 74, 78, 29, -1,
 1557, 1358, 1694, -1, 1025, 1033, 1615, -1, 1016, 994, 1600, -1,
 1600, 994, 986, -1, 1600, 986, 978, -1, 1593, 971, 979, -1,
 979, 1601, 1593, -1, 1593, 1601, 1703, -1, 1593, 1703, 1681, -1,
 1681, 1703, 1785, -1, 1681, 1785, 1771, -1, 1771, 1785, 1853, -1,
 1771, 1853, 1839, -1, 1839, 1853, 1901, -1, 1839, 1901, 1872, -1,
 1872, 1901, 1852, -1, 1872, 1852, 1838, -1, 1838, 1852, 1784, -1,
 1838, 1784, 1770, -1, 1770, 1784, 1702, -1, 1770, 1702, 1680, -1,
 1680, 1702, 1600, -1, 1680, 1600, 1592, -1, 1592, 1600, 978, -1,
 1592, 978, 970, -1, 1040, 1032, 1614, -1, 1614, 1032, 1024, -1,
 1614, 1024, 1016, -1, 979, 987, 1601, -1, 1601, 987, 995, -1,
 1601, 995, 1017, -1, 1016, 1600, 1614, -1, 1614, 1600, 1702, -1,
 1614, 1702, 1710, -1, 1710, 1702, 1784, -1, 1710, 1784, 1812, -1,
 1812, 1784, 1852, -1, 1812, 1852, 1914, -1, 1914, 1852, 1901, -1,
 1914, 1901, 1925, -1, 1925, 1901, 1853, -1, 1925, 1853, 1915, -1,
 1915, 1853, 1785, -1, 1915, 1785, 1813, -1, 1813, 1785, 1703, -1,
 1813, 1703, 1711, -1, 1711, 1703, 1601, -1, 1711, 1601, 1615, -1,
 1615, 1601, 1017, -1, 1615, 1017, 1025, -1, 1168, 1160, 1628, -1,
 1628, 1160, 1040, -1, 1040, 1614, 1628, -1, 1628, 1614, 1710, -1,
 1628, 1710, 1744, -1, 1744, 1710, 1812, -1, 1744, 1812, 1890, -1,
 1890, 1812, 1914, -1, 1890, 1914, 1954, -1, 1954, 1914, 1925, -1,
 1954, 1925, 1971, -1, 1971, 1925, 1915, -1, 1971, 1915, 1955, -1,
 1955, 1915, 1813, -1, 1955, 1813, 1891, -1, 1891, 1813, 1711, -1,
 1891, 1711, 1745, -1, 1745, 1711, 1615, -1, 1745, 1615, 1629, -1,
 1629, 1615, 1033, -1, 1629, 1033, 1041, -1, 1654, 1294, 1286, -1,
 1041, 1161, 1629, -1, 1629, 1161, 1169, -1, 1629, 1169, 1287, -1,
 1287, 1655, 1629, -1, 1629, 1655, 1793, -1, 1629, 1793, 1745, -1,
 1745, 1793, 1939, -1, 1745, 1939, 1891, -1, 1891, 1939, 1993, -1,
 1891, 1993, 1955, -1, 1955, 1993, 2009, -1, 1955, 2009, 1971, -1,
 1971, 2009, 1992, -1, 1971, 1992, 1954, -1, 1954, 1992, 1938, -1,
 1954, 1938, 1890, -1, 1890, 1938, 1792, -1, 1890, 1792, 1744, -1,
 1744, 1792, 1654, -1, 1744, 1654, 1628, -1, 1628, 1654, 1286, -1,
 1628, 1286, 1168, -1, 1358, 1350, 1654, -1, 1654, 1350, 1302, -1,
 1654, 1302, 1294, -1, 1287, 1295, 1655, -1, 1655, 1295, 1303, -1,
 1655, 1303, 1351, -1, 1358, 1654, 1694, -1, 1694, 1654, 1792, -1,
 1694, 1792, 1882, -1, 1882, 1792, 1938, -1, 1882, 1938, 1984, -1,
 1984, 1938, 1992, -1, 1984, 1992, 2030, -1, 2030, 1992, 2009, -1,
 2030, 2009, 2041, -1, 2041, 2009, 1993, -1, 2041, 1993, 2031, -1,
 2031, 1993, 1939, -1, 2031, 1939, 1985, -1, 1985, 1939, 1793, -1,
 1985, 1793, 1883, -1, 1883, 1793, 1655, -1, 1883, 1655, 1695, -1,
 1695, 1655, 1351, -1, 1695, 1351, 1359, -1, 1557, 1694, 1730, -1,
 1730, 1694, 1882, -1, 1730, 1882, 1946, -1, 1946, 1882, 1984, -1,
 1946, 1984, 2022, -1, 2022, 1984, 2030, -1, 2022, 2030, 2054, -1,
 2054, 2030, 2041, -1, 2054, 2041, 2065, -1, 2065, 2041, 2031, -1,
 2065, 2031, 2055, -1, 2055, 2031, 1985, -1, 2055, 1985, 2023, -1,
 2023, 1985, 1883, -1, 2023, 1883, 1947, -1, 1947, 1883, 1695, -1,
 1947, 1695, 1731, -1, 1731, 1695, 1359, -1, 1731, 1359, 1558, -1,
 914, 896, 1230, -1, 479, 555, 610, -1, 284, 356, 374, -1,
 142, 188, 226, -1, 1012, 958, 1020, -1, 664, 974, 966, -1,
 1020, 958, 1028, -1, 1028, 958, 816, -1, 1028, 816, 1036, -1,
 1346, 1298, 1238, -1, 1238, 1298, 1290, -1, 1238, 1290, 1282, -1,
 9, 56, 74, -1, 74, 56, 154, -1, 1411, 1354, 1222, -1,
 1222, 1354, 1230, -1, 1222, 1230, 1094, -1, 1094, 1230, 896, -1,
 1094, 896, 880, -1, 880, 896, 740, -1, 294, 210, 154, -1,
 154, 210, 82, -1, 154, 82, 74, -1, 1354, 1346, 1230, -1,
 1230, 1346, 1238, -1, 1230, 1238, 914, -1, 914, 1238, 1282, -1,
 914, 1282, 998, -1, 998, 1282, 1164, -1, 998, 1164, 1156, -1,
 426, 404, 294, -1, 294, 404, 218, -1, 294, 218, 210, -1,
 555, 740, 610, -1, 610, 740, 896, -1, 610, 896, 644, -1,
 644, 896, 914, -1, 644, 914, 816, -1, 816, 914, 998, -1,
 816, 998, 1036, -1, 1036, 998, 1156, -1, 966, 636, 664, -1,
 664, 636, 628, -1, 664, 628, 426, -1, 426, 628, 412, -1,
 426, 412, 404, -1, 56, 142, 154, -1, 154, 142, 226, -1,
 154, 226, 294, -1, 294, 226, 344, -1, 294, 344, 426, -1,
 426, 344, 534, -1, 426, 534, 664, -1, 664, 534, 754, -1,
 664, 754, 974, -1, 974, 754, 982, -1, 188, 284, 226, -1,
 226, 284, 374, -1, 226, 374, 344, -1, 344, 374, 490, -1,
 344, 490, 534, -1, 534, 490, 618, -1, 534, 618, 754, -1,
 754, 618, 888, -1, 754, 888, 982, -1, 982, 888, 990, -1,
 356, 479, 374, -1, 374, 479, 610, -1, 374, 610, 490, -1,
 490, 610, 644, -1, 490, 644, 618, -1, 618, 644, 816, -1,
 618, 816, 888, -1, 888, 816, 958, -1, 888, 958, 990, -1,
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 745, 885, 901, -1, 1099, 1227, 1235, -1, 1303, 1295, 1243, -1,
 1017, 963, 1025, -1, 669, 979, 971, -1, 1025, 963, 1033, -1,
 1033, 963, 821, -1, 1033, 821, 1041, -1, 919, 1287, 1003, -1,
 1003, 1287, 1169, -1, 1003, 1169, 1161, -1, 1303, 1243, 1351, -1,
 1351, 1243, 1235, -1, 1351, 1235, 1359, -1, 1359, 1235, 1227, -1,
 1359, 1227, 1558, -1, 971, 641, 669, -1, 669, 641, 633, -1,
 669, 633, 431, -1, 633, 417, 431, -1, 431, 417, 409, -1,
 431, 409, 299, -1, 987, 979, 759, -1, 759, 979, 669, -1,
 759, 669, 539, -1, 539, 669, 431, -1, 539, 431, 349, -1,
 349, 431, 299, -1, 349, 299, 231, -1, 231, 299, 159, -1,
 885, 1099, 901, -1, 901, 1099, 1235, -1, 901, 1235, 919, -1,
 919, 1235, 1243, -1, 919, 1243, 1287, -1, 1287, 1243, 1295, -1,
 560, 745, 615, -1, 615, 745, 901, -1, 615, 901, 649, -1,
 649, 901, 919, -1, 649, 919, 821, -1, 821, 919, 1003, -1,
 821, 1003, 1041, -1, 1041, 1003, 1161, -1, 361, 484, 379, -1,
 379, 484, 615, -1, 379, 615, 495, -1, 495, 615, 649, -1,
 495, 649, 623, -1, 623, 649, 821, -1, 623, 821, 893, -1,
 893, 821, 963, -1, 893, 963, 995, -1, 995, 963, 1017, -1,
 193, 289, 231, -1, 231, 289, 379, -1, 231, 379, 349, -1,
 349, 379, 495, -1, 349, 495, 539, -1, 539, 495, 623, -1,
 539, 623, 759, -1, 759, 623, 893, -1, 759, 893, 987, -1,
 987, 893, 995, -1, 409, 223, 299, -1, 299, 223, 215, -1,
 299, 215, 159, -1, 159, 215, 87, -1, 159, 87, 79, -1,
 193, 231, 147, -1, 147, 231, 159, -1, 147, 159, 61, -1,
 61, 159, 79, -1, 61, 79, 30, -1, 1412, 1355, 1691, -1,
 991, 983, 1597, -1, 1597, 983, 975, -1, 1588, 966, 974, -1,
 974, 1596, 1588, -1, 1588, 1596, 1698, -1, 1588, 1698, 1676, -1,
 1676, 1698, 1780, -1, 1676, 1780, 1766, -1, 1766, 1780, 1848, -1,
 1766, 1848, 1834, -1, 1834, 1848, 1899, -1, 1834, 1899, 1870, -1,
 1870, 1899, 1849, -1, 1870, 1849, 1835, -1, 1835, 1849, 1781, -1,
 1835, 1781, 1767, -1, 1767, 1781, 1699, -1, 1767, 1699, 1677, -1,
 1677, 1699, 1597, -1, 1677, 1597, 1589, -1, 1589, 1597, 975, -1,
 1589, 975, 967, -1, 1029, 1021, 1611, -1, 1611, 1021, 1013, -1,
 974, 982, 1596, -1, 1596, 982, 990, -1, 1596, 990, 1012, -1,
 1012, 1610, 1596, -1, 1596, 1610, 1706, -1, 1596, 1706, 1698, -1,
 1698, 1706, 1808, -1, 1698, 1808, 1780, -1, 1780, 1808, 1910, -1,
 1780, 1910, 1848, -1, 1848, 1910, 1923, -1, 1848, 1923, 1899, -1,
 1899, 1923, 1911, -1, 1899, 1911, 1849, -1, 1849, 1911, 1809, -1,
 1849, 1809, 1781, -1, 1781, 1809, 1707, -1, 1781, 1707, 1699, -1,
 1699, 1707, 1611, -1, 1699, 1611, 1597, -1, 1597, 1611, 1013, -1,
 1597, 1013, 991, -1, 1165, 1157, 1625, -1, 1625, 1157, 1037, -1,
 1012, 1020, 1610, -1, 1610, 1020, 1028, -1, 1610, 1028, 1036, -1,
 1036, 1624, 1610, -1, 1610, 1624, 1740, -1, 1610, 1740, 1706, -1,
 1706, 1740, 1886, -1, 1706, 1886, 1808, -1, 1808, 1886, 1950, -1,
 1808, 1950, 1910, -1, 1910, 1950, 1969, -1, 1910, 1969, 1923, -1,
 1923, 1969, 1951, -1, 1923, 1951, 1911, -1, 1911, 1951, 1887, -1,
 1911, 1887, 1809, -1, 1809, 1887, 1741, -1, 1809, 1741, 1707, -1,
 1707, 1741, 1625, -1, 1707, 1625, 1611, -1, 1611, 1625, 1037, -1,
 1611, 1037, 1029, -1, 1651, 1291, 1283, -1, 1036, 1156, 1624, -1,
 1624, 1156, 1164, -1, 1624, 1164, 1282, -1, 1282, 1650, 1624, -1,
 1624, 1650, 1788, -1, 1624, 1788, 1740, -1, 1740, 1788, 1934, -1,
 1740, 1934, 1886, -1, 1886, 1934, 1988, -1, 1886, 1988, 1950, -1,
 1950, 1988, 2007, -1, 1950, 2007, 1969, -1, 1969, 2007, 1989, -1,
 1969, 1989, 1951, -1, 1951, 1989, 1935, -1, 1951, 1935, 1887, -1,
 1887, 1935, 1789, -1, 1887, 1789, 1741, -1, 1741, 1789, 1651, -1,
 1741, 1651, 1625, -1, 1625, 1651, 1283, -1, 1625, 1283, 1165, -1,
 1355, 1347, 1651, -1, 1651, 1347, 1299, -1, 1651, 1299, 1291, -1,
 1282, 1290, 1650, -1, 1650, 1290, 1298, -1, 1650, 1298, 1346, -1,
 1355, 1651, 1691, -1, 1691, 1651, 1789, -1, 1691, 1789, 1879, -1,
 1879, 1789, 1935, -1, 1879, 1935, 1981, -1, 1981, 1935, 1989, -1,
 1981, 1989, 2027, -1, 2027, 1989, 2007, -1, 2027, 2007, 2039, -1,
 2039, 2007, 1988, -1, 2039, 1988, 2026, -1, 2026, 1988, 1934, -1,
 2026, 1934, 1980, -1, 1980, 1934, 1788, -1, 1980, 1788, 1878, -1,
 1878, 1788, 1650, -1, 1878, 1650, 1690, -1, 1690, 1650, 1346, -1,
 1690, 1346, 1354, -1, 1412, 1691, 1727, -1, 1727, 1691, 1879, -1,
 1727, 1879, 1943, -1, 1943, 1879, 1981, -1, 1943, 1981, 2019, -1,
 2019, 1981, 2027, -1, 2019, 2027, 2051, -1, 2051, 2027, 2039, -1,
 2051, 2039, 2063, -1, 2063, 2039, 2026, -1, 2063, 2026, 2050, -1,
 2050, 2026, 1980, -1, 2050, 1980, 2018, -1, 2018, 1980, 1878, -1,
 2018, 1878, 1942, -1, 1942, 1878, 1690, -1, 1942, 1690, 1726, -1,
 1726, 1690, 1354, -1, 1726, 1354, 1411, -1, 971, 967, 641, -1,
 641, 967, 637, -1, 641, 637, 633, -1, 633, 637, 629, -1,
 633, 629, 417, -1, 417, 629, 413, -1, 417, 413, 409, -1,
 409, 413, 405, -1, 409, 405, 223, -1, 223, 405, 219, -1,
 223, 219, 215, -1, 215, 219, 211, -1, 215, 211, 87, -1,
 87, 211, 83, -1, 87, 83, 79, -1, 83, 75, 79, -1,
 79, 75, 10, -1, 79, 10, 30, -1, 741, 556, 611, -1,
 480, 357, 375, -1, 285, 189, 227, -1, 143, 57, 155, -1,
 1021, 959, 1013, -1, 1029, 1037, 999, -1, 1283, 1291, 1239, -1,
 1239, 1291, 1299, -1, 1239, 1299, 1231, -1, 1231, 1299, 1347, -1,
 1231, 1347, 1355, -1, 1037, 1157, 999, -1, 999, 1157, 1165, -1,
 999, 1165, 915, -1, 959, 1021, 817, -1, 967, 975, 637, -1,
 637, 975, 665, -1, 637, 665, 629, -1, 629, 665, 427, -1,
 629, 427, 413, -1, 413, 427, 405, -1, 405, 427, 295, -1,
 405, 295, 219, -1, 219, 295, 211, -1, 211, 295, 155, -1,
 211, 155, 83, -1, 1165, 1283, 915, -1, 915, 1283, 1239, -1,
 915, 1239, 897, -1, 897, 1239, 1231, -1, 83, 155, 75, -1,
 75, 155, 57, -1, 75, 57, 10, -1, 189, 143, 227, -1,
 227, 143, 155, -1, 227, 155, 345, -1, 345, 155, 295, -1,
 345, 295, 535, -1, 535, 295, 427, -1, 535, 427, 755, -1,
 755, 427, 665, -1, 755, 665, 983, -1, 983, 665, 975, -1,
 357, 285, 375, -1, 375, 285, 227, -1, 375, 227, 491, -1,
 491, 227, 345, -1, 491, 345, 619, -1, 619, 345, 535, -1,
 619, 535, 889, -1, 889, 535, 755, -1, 889, 755, 991, -1,
 991, 755, 983, -1, 556, 480, 611, -1, 611, 480, 375, -1,
 611, 375, 645, -1, 645, 375, 491, -1, 645, 491, 817, -1,
 817, 491, 619, -1, 817, 619, 959, -1, 959, 619, 889, -1,
 959, 889, 1013, -1, 1013, 889, 991, -1, 881, 741, 897, -1,
 897, 741, 611, -1, 897, 611, 915, -1, 915, 611, 645, -1,
 915, 645, 999, -1, 999, 645, 817, -1, 999, 817, 1029, -1,
 1029, 817, 1021, -1, 881, 897, 1095, -1, 1095, 897, 1231, -1,
 1095, 1231, 1223, -1, 1223, 1231, 1355, -1, 1223, 1355, 1412, -1,
 1412, 1413, 1223, -1, 1223, 1413, 1047, -1, 1223, 1047, 1095, -1,
 1095, 1047, 881, -1, 881, 1047, 681, -1, 881, 681, 741, -1,
 741, 681, 556, -1, 556, 681, 437, -1, 556, 437, 480, -1,
 480, 437, 357, -1, 357, 437, 244, -1, 357, 244, 285, -1,
 285, 244, 189, -1, 189, 244, 92, -1, 189, 92, 143, -1,
 143, 92, 57, -1, 57, 92, 11, -1, 57, 11, 10, -1,
 92, 244, 164, -1, 164, 244, 304, -1, 164, 304, 313, -1,
 313, 304, 384, -1, 313, 384, 509, -1, 509, 384, 581, -1,
 509, 581, 773, -1, 773, 581, 838, -1, 773, 838, 1122, -1,
 1122, 838, 1183, -1, 1122, 1183, 1477, -1, 244, 437, 304, -1,
 304, 437, 500, -1, 304, 500, 384, -1, 384, 500, 572, -1,
 384, 572, 581, -1, 581, 572, 690, -1, 581, 690, 838, -1,
 838, 690, 933, -1, 838, 933, 1183, -1, 1183, 933, 1257, -1,
 1183, 1257, 1477, -1, 11, 92, 101, -1, 101, 92, 164, -1,
 101, 164, 255, -1, 255, 164, 313, -1, 255, 313, 446, -1,
 446, 313, 509, -1, 446, 509, 699, -1, 699, 509, 773, -1,
 699, 773, 1056, -1, 1056, 773, 1122, -1, 1056, 1122, 1477, -1,
 681, 1047, 764, -1, 764, 1047, 1104, -1, 764, 1104, 829, -1,
 829, 1104, 1174, -1, 829, 1174, 924, -1, 924, 1174, 1248, -1,
 924, 1248, 1113, -1, 1113, 1248, 1308, -1, 1113, 1308, 1317, -1,
 1317, 1308, 1370, -1, 1317, 1370, 1477, -1, 1047, 1413, 1104, -1,
 1104, 1413, 1427, -1, 1104, 1427, 1174, -1, 1174, 1427, 1437, -1,
 1174, 1437, 1248, -1, 1248, 1437, 1447, -1, 1248, 1447, 1308, -1,
 1308, 1447, 1457, -1, 1308, 1457, 1370, -1, 1370, 1457, 1467, -1,
 1370, 1467, 1477, -1, 437, 681, 500, -1, 500, 681, 764, -1,
 500, 764, 572, -1, 572, 764, 829, -1, 572, 829, 690, -1,
 690, 829, 924, -1, 690, 924, 933, -1, 933, 924, 1113, -1,
 933, 1113, 1257, -1, 1257, 1113, 1317, -1, 1257, 1317, 1477, -1,
 2848, 1477, 2844, -1, 2844, 1477, 1467, -1, 2844, 1467, 2840, -1,
 2840, 1467, 2836, -1, 2836, 1467, 1457, -1, 2836, 1457, 2832, -1,
 2832, 1457, 2828, -1, 2828, 1457, 1447, -1, 2828, 1447, 2823, -1,
 2823, 1447, 2818, -1, 2818, 1447, 1437, -1, 2818, 1437, 2815, -1,
 2815, 1437, 2810, -1, 2810, 1437, 1427, -1, 2810, 1427, 2807, -1,
 2807, 1427, 2802, -1, 2802, 1427, 1413, -1, 2802, 1413, 2798, -1,
 2970, 2848, 2844, -1, 3538, 3558, 3549, -1, 3534, 3538, 3513, -1,
 3546, 3534, 3509, -1, 3582, 3546, 3541, -1, 3638, 3604, 3593, -1,
 3658, 3638, 3629, -1, 3673, 3658, 3649, -1, 3538, 3549, 3513, -1,
 3513, 3549, 3517, -1, 3513, 3517, 3485, -1, 3485, 3517, 3507, -1,
 3485, 3507, 3453, -1, 3507, 3461, 3453, -1, 3453, 3461, 3423, -1,
 3453, 3423, 3407, -1, 3407, 3423, 3399, -1, 3407, 3399, 3299, -1,
 3673, 3649, 3667, -1, 3667, 3649, 3645, -1, 3667, 3645, 3661, -1,
 3661, 3645, 3635, -1, 3661, 3635, 3655, -1, 3655, 3635, 3607, -1,
 3655, 3607, 3643, -1, 3643, 3607, 3437, -1, 3643, 3437, 3491, -1,
 3399, 3316, 3299, -1, 3299, 3316, 3285, -1, 3299, 3285, 3148, -1,
 3534, 3513, 3509, -1, 3509, 3513, 3485, -1, 3509, 3485, 3481, -1,
 3481, 3485, 3453, -1, 3481, 3453, 3447, -1, 3447, 3453, 3407, -1,
 3447, 3407, 3409, -1, 3409, 3407, 3299, -1, 3409, 3299, 3304, -1,
 3304, 3299, 3148, -1, 3304, 3148, 3156, -1, 3156, 3148, 2978, -1,
 3156, 2978, 2984, -1, 3638, 3593, 3629, -1, 3629, 3593, 3585, -1,
 3629, 3585, 3617, -1, 3617, 3585, 3571, -1, 3617, 3571, 3599, -1,
 3599, 3571, 3495, -1, 3599, 3495, 3575, -1, 3575, 3495, 3363, -1,
 3575, 3363, 3391, -1, 3391, 3363, 3230, -1, 3391, 3230, 3238, -1,
 3238, 3230, 3020, -1, 3238, 3020, 3024, -1, 3285, 3154, 3148, -1,
 3148, 3154, 3142, -1, 3148, 3142, 2978, -1, 2978, 3142, 2980, -1,
 2978, 2980, 2970, -1, 2970, 2844, 2978, -1, 2978, 2844, 2840, -1,
 2978, 2840, 2984, -1, 2984, 2840, 2836, -1, 2984, 2836, 2832, -1,
 3546, 3509, 3541, -1, 3541, 3509, 3481, -1, 3541, 3481, 3501, -1,
 3501, 3481, 3447, -1, 3501, 3447, 3457, -1, 3457, 3447, 3409, -1,
 3457, 3409, 3425, -1, 3425, 3409, 3304, -1, 3425, 3304, 3321, -1,
 3321, 3304, 3156, -1, 3321, 3156, 3188, -1, 3188, 3156, 2984, -1,
 3188, 2984, 2988, -1, 2988, 2984, 2832, -1, 2988, 2832, 2828, -1,
 3582, 3541, 3577, -1, 3577, 3541, 3501, -1, 3577, 3501, 3553, -1,
 3553, 3501, 3457, -1, 3553, 3457, 3499, -1, 3499, 3457, 3425, -1,
 3499, 3425, 3451, -1, 3451, 3425, 3321, -1, 3451, 3321, 3325, -1,
 3325, 3321, 3188, -1, 3325, 3188, 3218, -1, 3218, 3188, 2988, -1,
 3218, 2988, 3016, -1, 3016, 2988, 2828, -1, 3016, 2828, 2823, -1,
 2823, 3020, 3016, -1, 3016, 3020, 3230, -1, 3016, 3230, 3218, -1,
 3218, 3230, 3363, -1, 3218, 3363, 3325, -1, 3325, 3363, 3495, -1,
 3325, 3495, 3451, -1, 3451, 3495, 3571, -1, 3451, 3571, 3499, -1,
 3499, 3571, 3585, -1, 3499, 3585, 3553, -1, 3553, 3585, 3593, -1,
 3553, 3593, 3577, -1, 3577, 3593, 3604, -1, 3577, 3604, 3582, -1,
 2823, 2818, 3020, -1, 3020, 2818, 2815, -1, 3020, 2815, 3024, -1,
 3024, 2815, 2810, -1, 3024, 2810, 2807, -1, 3658, 3629, 3649, -1,
 3649, 3629, 3617, -1, 3649, 3617, 3645, -1, 3645, 3617, 3599, -1,
 3645, 3599, 3635, -1, 3635, 3599, 3575, -1, 3635, 3575, 3607, -1,
 3607, 3575, 3391, -1, 3607, 3391, 3437, -1, 3437, 3391, 3238, -1,
 3437, 3238, 3252, -1, 3252, 3238, 3024, -1, 3252, 3024, 3032, -1,
 3032, 3024, 2807, -1, 3032, 2807, 2802, -1, 3491, 3437, 3475, -1,
 3475, 3437, 3252, -1, 3475, 3252, 3266, -1, 3266, 3252, 3032, -1,
 3266, 3032, 3036, -1, 3036, 3032, 2802, -1, 3036, 2802, 2798, -1,
 3673, 3674, 3659, -1, 3673, 3659, 3658, -1, 3658, 3659, 3639, -1,
 3658, 3639, 3638, -1, 3638, 3639, 3605, -1, 3638, 3605, 3604, -1,
 3604, 3605, 3583, -1, 3604, 3583, 3582, -1, 3582, 3583, 3547, -1,
 3582, 3547, 3546, -1, 3546, 3547, 3535, -1, 3546, 3535, 3534, -1,
 3534, 3535, 3539, -1, 3534, 3539, 3538, -1, 3538, 3539, 3559, -1,
 3538, 3559, 3558, -1, 3505, 3519, 3487, -1, 3401, 3419, 3403, -1,
 3476, 3264, 3250, -1, 3287, 3314, 3297, -1, 3144, 3150, 3146, -1,
 3026, 3034, 2799, -1, 2972, 2976, 2974, -1, 2849, 2972, 2845, -1,
 2845, 2972, 2974, -1, 2845, 2974, 2841, -1, 2841, 2974, 2982, -1,
 2986, 2833, 2982, -1, 2982, 2833, 2837, -1, 2982, 2837, 2841, -1,
 2994, 2825, 2986, -1, 2986, 2825, 2829, -1, 2986, 2829, 2833, -1,
 3018, 2820, 2994, -1, 2994, 2820, 2824, -1, 2994, 2824, 2825, -1,
 3022, 2812, 3018, -1, 3018, 2812, 2819, -1, 3018, 2819, 2820, -1,
 2799, 2803, 3026, -1, 3026, 2803, 2804, -1, 3026, 2804, 3022, -1,
 3022, 2804, 2811, -1, 3022, 2811, 2812, -1, 3264, 3034, 3250, -1,
 3250, 3034, 3026, -1, 3250, 3026, 3236, -1, 3236, 3026, 3022, -1,
 3236, 3022, 3228, -1, 3228, 3022, 3018, -1, 3228, 3018, 3208, -1,
 3208, 3018, 2994, -1, 3208, 2994, 3186, -1, 3186, 2994, 2986, -1,
 3186, 2986, 3152, -1, 3152, 2986, 2982, -1, 3152, 2982, 3146, -1,
 3146, 2982, 2974, -1, 3146, 2974, 3144, -1, 3144, 2974, 2976, -1,
 3489, 3476, 3427, -1, 3427, 3476, 3250, -1, 3427, 3250, 3389, -1,
 3389, 3250, 3236, -1, 3389, 3236, 3361, -1, 3361, 3236, 3228, -1,
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 3318, 3208, 3186, -1, 3318, 3186, 3302, -1, 3302, 3186, 3152, -1,
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 314, 102, 256, -1, 314, 256, 510, -1, 510, 256, 447, -1,
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 1422, 1105, 1428, -1, 1428, 1105, 1432, -1, 13, 12, 46, -1,
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 93, 128, 66, -1, 66, 128, 62, -1, 66, 62, 46, -1,
 245, 204, 198, -1, 198, 204, 194, -1, 198, 194, 136, -1,
 366, 438, 473, -1, 473, 420, 366, -1, 366, 420, 362, -1,
 366, 362, 245, -1, 245, 362, 234, -1, 245, 234, 204, -1,
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 562, 549, 438, -1, 438, 549, 542, -1, 438, 542, 473, -1,
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 872, 1085, 1006, -1, 872, 1006, 906, -1, 549, 748, 867, -1,
 1398, 1415, 1644, -1, 1217, 1086, 1619, -1, 47, 14, 653, -1,
 659, 63, 47, -1, 205, 195, 659, -1, 673, 246, 235, -1,
 195, 137, 659, -1, 659, 137, 129, -1, 659, 129, 63, -1,
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 749, 868, 862, -1, 862, 868, 903, -1, 903, 868, 907, -1,
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 798, 473, 542, -1, 798, 542, 549, -1, 204, 234, 672, -1,
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 1735, 1749, 1817, -1, 1749, 1797, 1817, -1, 1817, 1797, 1823, -1,
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 1859, 1858, 1894, -1, 1894, 1858, 1857, -1, 1894, 1857, 1816, -1,
 1857, 1822, 1816, -1, 1816, 1822, 1796, -1, 1816, 1796, 1734, -1,
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 1734, 1664, 1638, -1, 1664, 1632, 1638, -1, 1638, 1632, 1570, -1,
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 652, 658, 804, -1, 804, 658, 1386, -1, 804, 1386, 1362, -1,
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 1638, 1658, 1760, -1, 1638, 1760, 1734, -1, 1734, 1760, 1865, -1,
 1734, 1865, 1816, -1, 1816, 1865, 1918, -1, 1816, 1918, 1894, -1,
 1894, 1918, 1919, -1, 1894, 1919, 1895, -1, 1895, 1919, 1866, -1,
 1895, 1866, 1817, -1, 1817, 1866, 1761, -1, 1817, 1761, 1735, -1,
 1735, 1761, 1659, -1, 1735, 1659, 1639, -1, 1639, 1659, 1393, -1,
 1639, 1393, 1387, -1, 1387, 1393, 673, -1, 1387, 673, 659, -1,
 659, 673, 235, -1, 659, 235, 205, -1, 420, 798, 672, -1,
 672, 798, 1582, -1, 672, 1582, 1392, -1, 1392, 1582, 1684, -1,
 1392, 1684, 1658, -1, 1658, 1684, 1802, -1, 1658, 1802, 1760, -1,
 1760, 1802, 1928, -1, 1760, 1928, 1865, -1, 1865, 1928, 1964, -1,
 1865, 1964, 1918, -1, 1918, 1964, 1965, -1, 1918, 1965, 1919, -1,
 1919, 1965, 1929, -1, 1919, 1929, 1866, -1, 1866, 1929, 1803, -1,
 1866, 1803, 1761, -1, 1761, 1803, 1685, -1, 1761, 1685, 1659, -1,
 1659, 1685, 1583, -1, 1659, 1583, 1393, -1, 1393, 1583, 799, -1,
 1393, 799, 673, -1, 673, 799, 363, -1, 673, 363, 246, -1,
 549, 867, 798, -1, 798, 867, 1604, -1, 798, 1604, 1582, -1,
 1582, 1604, 1714, -1, 1582, 1714, 1684, -1, 1684, 1714, 1904, -1,
 1684, 1904, 1802, -1, 1802, 1904, 1974, -1, 1802, 1974, 1928, -1,
 1928, 1974, 2002, -1, 1928, 2002, 1964, -1, 1964, 2002, 2003, -1,
 1964, 2003, 1965, -1, 1965, 2003, 1975, -1, 1965, 1975, 1929, -1,
 1929, 1975, 1905, -1, 1929, 1905, 1803, -1, 1803, 1905, 1715, -1,
 1803, 1715, 1685, -1, 1685, 1715, 1605, -1, 1685, 1605, 1583, -1,
 1583, 1605, 868, -1, 1583, 868, 799, -1, 799, 868, 749, -1,
 799, 749, 550, -1, 1006, 1618, 1604, -1, 1604, 1618, 1774, -1,
 1604, 1774, 1714, -1, 1714, 1774, 1958, -1, 1714, 1958, 1904, -1,
 1904, 1958, 2012, -1, 1904, 2012, 1974, -1, 1974, 2012, 2034, -1,
 1974, 2034, 2002, -1, 2002, 2034, 2035, -1, 2002, 2035, 2003, -1,
 2003, 2035, 2013, -1, 2003, 2013, 1975, -1, 1975, 2013, 1959, -1,
 1975, 1959, 1905, -1, 1905, 1959, 1775, -1, 1905, 1775, 1715, -1,
 1715, 1775, 1619, -1, 1715, 1619, 1605, -1, 1605, 1619, 1086, -1,
 1605, 1086, 1007, -1, 1398, 1644, 1618, -1, 1618, 1644, 1842, -1,
 1618, 1842, 1774, -1, 1774, 1842, 1996, -1, 1774, 1996, 1958, -1,
 1958, 1996, 2044, -1, 1958, 2044, 2012, -1, 2012, 2044, 2058, -1,
 2012, 2058, 2034, -1, 2034, 2058, 2059, -1, 2034, 2059, 2035, -1,
 2035, 2059, 2045, -1, 2035, 2045, 2013, -1, 2013, 2045, 1997, -1,
 2013, 1997, 1959, -1, 1959, 1997, 1843, -1, 1959, 1843, 1775, -1,
 1775, 1843, 1645, -1, 1775, 1645, 1619, -1, 1619, 1645, 1416, -1,
 1619, 1416, 1399, -1, 1416, 1417, 1399, -1, 1399, 1417, 1211, -1,
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 873, 1007, 1049, -1, 1049, 1007, 1086, -1, 1049, 1086, 1211, -1,
 1211, 1086, 1217, -1, 1211, 1217, 1399, -1, 862, 873, 749, -1,
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 439, 421, 543, -1, 439, 543, 563, -1, 563, 543, 550, -1,
 563, 550, 749, -1, 199, 195, 205, -1, 205, 235, 199, -1,
 199, 235, 246, -1, 199, 246, 247, -1, 247, 246, 363, -1,
 247, 363, 367, -1, 367, 363, 439, -1, 195, 199, 137, -1,
 137, 199, 94, -1, 137, 94, 129, -1, 129, 94, 63, -1,
 63, 94, 67, -1, 63, 67, 47, -1, 47, 67, 15, -1,
 47, 15, 14, -1, 1211, 1417, 1429, -1, 873, 1049, 1106, -1,
 563, 683, 766, -1, 367, 439, 502, -1, 199, 247, 306, -1,
 67, 94, 166, -1, 94, 199, 166, -1, 166, 199, 306, -1,
 166, 306, 315, -1, 315, 306, 386, -1, 315, 386, 511, -1,
 511, 386, 583, -1, 511, 583, 775, -1, 775, 583, 840, -1,
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 386, 502, 574, -1, 386, 574, 583, -1, 583, 574, 692, -1,
 583, 692, 840, -1, 840, 692, 935, -1, 840, 935, 1185, -1,
 1185, 935, 1259, -1, 1185, 1259, 1479, -1, 15, 67, 103, -1,
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 257, 315, 448, -1, 448, 315, 511, -1, 448, 511, 701, -1,
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 1176, 1429, 1439, -1, 1176, 1439, 1250, -1, 1250, 1439, 1449, -1,
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 502, 563, 766, -1, 502, 766, 574, -1, 574, 766, 831, -1,
 574, 831, 692, -1, 692, 831, 926, -1, 692, 926, 935, -1,
 935, 926, 1115, -1, 935, 1115, 1259, -1, 1259, 1115, 1319, -1,
 1259, 1319, 1479, -1, 2752, 1479, 1469, -1, 2752, 1469, 2748, -1,
 2748, 1469, 1459, -1, 2748, 1459, 2744, -1, 2744, 1459, 1449, -1,
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 2736, 1439, 1429, -1, 2736, 1429, 2732, -1, 2732, 1429, 1417, -1,
 2732, 1417, 2728, -1, 3160, 3136, 3291, -1, 3136, 3106, 3257, -1,
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 3354, 3337, 3365, -1, 3354, 3365, 3369, -1, 3369, 3365, 3336, -1,
 3369, 3336, 3353, -1, 3353, 3336, 3269, -1, 3353, 3269, 3278, -1,
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 3329, 3375, 3413, -1, 3413, 3375, 3393, -1, 3413, 3393, 3439, -1,
 3439, 3393, 3374, -1, 3439, 3374, 3412, -1, 3412, 3374, 3307, -1,
 3412, 3307, 3328, -1, 3106, 3242, 3257, -1, 3257, 3242, 3329, -1,
 3257, 3329, 3383, -1, 3383, 3329, 3413, -1, 3383, 3413, 3465, -1,
 3465, 3413, 3439, -1, 3465, 3439, 3521, -1, 3521, 3439, 3412, -1,
 3521, 3412, 3464, -1, 3464, 3412, 3328, -1, 3464, 3328, 3382, -1,
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 3431, 3383, 3465, -1, 3431, 3465, 3565, -1, 3565, 3465, 3521, -1,
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 2745, 2908, 2741, -1, 2741, 2908, 2936, -1, 2741, 2936, 2737, -1,
 2737, 2936, 2944, -1, 2737, 2944, 2733, -1, 2733, 2944, 2952, -1,
 2733, 2952, 2729, -1, 2729, 2952, 2964, -1, 2888, 3040, 2900, -1,
 2900, 3040, 3048, -1, 2900, 3048, 2908, -1, 2908, 3048, 3060, -1,
 2908, 3060, 2936, -1, 2936, 3060, 3096, -1, 2936, 3096, 2944, -1,
 2944, 3096, 3106, -1, 2944, 3106, 2952, -1, 2952, 3106, 3136, -1,
 2952, 3136, 2964, -1, 2964, 3136, 3160, -1, 3477, 3526, 3430, -1,
 3430, 3526, 3610, -1, 3430, 3610, 3564, -1, 3564, 3610, 3625, -1,
 3564, 3625, 3589, -1, 3589, 3625, 3611, -1, 3589, 3611, 3565, -1,
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 3241, 3095, 3256, -1, 3256, 3095, 3105, -1, 3256, 3105, 3290, -1,
 3290, 3105, 3135, -1, 3290, 3135, 3344, -1, 3344, 3135, 3159, -1,
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 3059, 2899, 2907, -1, 3059, 2907, 3095, -1, 3095, 2907, 2935, -1,
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 2887, 2752, 2899, -1, 2899, 2752, 2748, -1, 2899, 2748, 2907, -1,
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 2951, 2736, 2732, -1, 2951, 2732, 2963, -1, 2963, 2732, 2728, -1,
 1480, 2753, 2749, -1, 1480, 2749, 1470, -1, 1470, 2749, 2745, -1,
 1470, 2745, 1460, -1, 1460, 2745, 2741, -1, 1460, 2741, 1450, -1,
 1450, 2741, 2737, -1, 1450, 2737, 1440, -1, 1440, 2737, 2733, -1,
 1440, 2733, 1430, -1, 1430, 2733, 2729, -1, 1430, 2729, 1418, -1,
 1212, 1050, 1107, -1, 874, 684, 767, -1, 564, 440, 503, -1,
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 95, 68, 167, -1, 167, 68, 104, -1, 167, 104, 316, -1,
 316, 104, 258, -1, 316, 258, 512, -1, 512, 258, 449, -1,
 512, 449, 776, -1, 776, 449, 702, -1, 776, 702, 1125, -1,
 1125, 702, 1059, -1, 1125, 1059, 1480, -1, 248, 200, 307, -1,
 307, 200, 167, -1, 307, 167, 387, -1, 387, 167, 316, -1,
 387, 316, 584, -1, 584, 316, 512, -1, 584, 512, 841, -1,
 841, 512, 776, -1, 841, 776, 1186, -1, 1186, 776, 1125, -1,
 1186, 1125, 1480, -1, 440, 368, 503, -1, 503, 368, 307, -1,
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 936, 841, 1260, -1, 1260, 841, 1186, -1, 1260, 1186, 1480, -1,
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 832, 503, 575, -1, 832, 575, 927, -1, 927, 575, 693, -1,
 927, 693, 1116, -1, 1116, 693, 936, -1, 1116, 936, 1320, -1,
 1320, 936, 1260, -1, 1320, 1260, 1480, -1, 1050, 874, 1107, -1,
 1107, 874, 767, -1, 1107, 767, 1177, -1, 1177, 767, 832, -1,
 1177, 832, 1251, -1, 1251, 832, 927, -1, 1251, 927, 1311, -1,
 1311, 927, 1116, -1, 1311, 1116, 1373, -1, 1373, 1116, 1320, -1,
 1373, 1320, 1480, -1, 1418, 1212, 1430, -1, 1430, 1212, 1107, -1,
 1430, 1107, 1440, -1, 1440, 1107, 1177, -1, 1440, 1177, 1450, -1,
 1450, 1177, 1251, -1, 1450, 1251, 1460, -1, 1460, 1251, 1311, -1,
 1460, 1311, 1470, -1, 1470, 1311, 1373, -1, 1470, 1373, 1480, -1,
 17, 16, 48, -1, 48, 16, 68, -1, 200, 138, 95, -1,
 95, 138, 130, -1, 95, 130, 68, -1, 68, 130, 64, -1,
 68, 64, 48, -1, 248, 206, 200, -1, 200, 206, 196, -1,
 200, 196, 138, -1, 368, 440, 474, -1, 474, 422, 368, -1,
 368, 422, 364, -1, 368, 364, 248, -1, 248, 364, 236, -1,
 248, 236, 206, -1, 908, 904, 874, -1, 874, 904, 863, -1,
 874, 863, 684, -1, 684, 863, 750, -1, 684, 750, 564, -1,
 564, 750, 551, -1, 564, 551, 440, -1, 440, 551, 544, -1,
 440, 544, 474, -1, 1212, 1418, 1419, -1, 1419, 1400, 1212, -1,
 1212, 1400, 1218, -1, 1212, 1218, 1050, -1, 1050, 1218, 1087, -1,
 1050, 1087, 874, -1, 874, 1087, 1008, -1, 874, 1008, 908, -1,
 551, 750, 869, -1, 1400, 1419, 1646, -1, 1219, 1088, 1621, -1,
 49, 18, 655, -1, 661, 65, 49, -1, 207, 197, 661, -1,
 675, 249, 237, -1, 197, 139, 661, -1, 661, 139, 131, -1,
 661, 131, 65, -1, 552, 545, 801, -1, 801, 545, 423, -1,
 801, 423, 365, -1, 751, 870, 864, -1, 864, 870, 905, -1,
 905, 870, 909, -1, 909, 870, 1607, -1, 909, 1607, 1009, -1,
 1219, 1621, 1401, -1, 1008, 1087, 1620, -1, 1620, 1087, 1218, -1,
 1620, 1218, 1400, -1, 750, 863, 869, -1, 869, 863, 904, -1,
 869, 904, 1606, -1, 1606, 904, 908, -1, 1606, 908, 1008, -1,
 422, 474, 800, -1, 800, 474, 544, -1, 800, 544, 551, -1,
 206, 236, 674, -1, 674, 236, 364, -1, 674, 364, 422, -1,
 138, 196, 660, -1, 660, 196, 206, -1, 48, 64, 660, -1,
 660, 64, 130, -1, 660, 130, 138, -1, 49, 655, 661, -1,
 661, 655, 807, -1, 661, 807, 1389, -1, 807, 1365, 1389, -1,
 1389, 1365, 1573, -1, 1389, 1573, 1641, -1, 1573, 1635, 1641, -1,
 1641, 1635, 1667, -1, 1641, 1667, 1737, -1, 1667, 1723, 1737, -1,
 1737, 1723, 1751, -1, 1737, 1751, 1819, -1, 1751, 1799, 1819, -1,
 1819, 1799, 1825, -1, 1819, 1825, 1897, -1, 1825, 1862, 1897, -1,
 1897, 1862, 1861, -1, 1897, 1861, 1896, -1, 1896, 1861, 1860, -1,
 1896, 1860, 1818, -1, 1860, 1824, 1818, -1, 1818, 1824, 1798, -1,
 1818, 1798, 1736, -1, 1736, 1798, 1750, -1, 1750, 1722, 1736, -1,
 1736, 1722, 1666, -1, 1736, 1666, 1640, -1, 1666, 1634, 1640, -1,
 1640, 1634, 1572, -1, 1640, 1572, 1388, -1, 17, 48, 654, -1,
 654, 48, 660, -1, 654, 660, 806, -1, 806, 660, 1388, -1,
 806, 1388, 1364, -1, 1364, 1388, 1572, -1, 206, 674, 660, -1,
 660, 674, 1394, -1, 660, 1394, 1388, -1, 1388, 1394, 1660, -1,
 1388, 1660, 1640, -1, 1640, 1660, 1762, -1, 1640, 1762, 1736, -1,
 1736, 1762, 1867, -1, 1736, 1867, 1818, -1, 1818, 1867, 1920, -1,
 1818, 1920, 1896, -1, 1896, 1920, 1921, -1, 1896, 1921, 1897, -1,
 1897, 1921, 1868, -1, 1897, 1868, 1819, -1, 1819, 1868, 1763, -1,
 1819, 1763, 1737, -1, 1737, 1763, 1661, -1, 1737, 1661, 1641, -1,
 1641, 1661, 1395, -1, 1641, 1395, 1389, -1, 1389, 1395, 675, -1,
 1389, 675, 661, -1, 661, 675, 237, -1, 661, 237, 207, -1,
 422, 800, 674, -1, 674, 800, 1584, -1, 674, 1584, 1394, -1,
 1394, 1584, 1686, -1, 1394, 1686, 1660, -1, 1660, 1686, 1804, -1,
 1660, 1804, 1762, -1, 1762, 1804, 1930, -1, 1762, 1930, 1867, -1,
 1867, 1930, 1966, -1, 1867, 1966, 1920, -1, 1920, 1966, 1967, -1,
 1920, 1967, 1921, -1, 1921, 1967, 1931, -1, 1921, 1931, 1868, -1,
 1868, 1931, 1805, -1, 1868, 1805, 1763, -1, 1763, 1805, 1687, -1,
 1763, 1687, 1661, -1, 1661, 1687, 1585, -1, 1661, 1585, 1395, -1,
 1395, 1585, 801, -1, 1395, 801, 675, -1, 675, 801, 365, -1,
 675, 365, 249, -1, 551, 869, 800, -1, 800, 869, 1606, -1,
 800, 1606, 1584, -1, 1584, 1606, 1716, -1, 1584, 1716, 1686, -1,
 1686, 1716, 1906, -1, 1686, 1906, 1804, -1, 1804, 1906, 1976, -1,
 1804, 1976, 1930, -1, 1930, 1976, 2004, -1, 1930, 2004, 1966, -1,
 1966, 2004, 2005, -1, 1966, 2005, 1967, -1, 1967, 2005, 1977, -1,
 1967, 1977, 1931, -1, 1931, 1977, 1907, -1, 1931, 1907, 1805, -1,
 1805, 1907, 1717, -1, 1805, 1717, 1687, -1, 1687, 1717, 1607, -1,
 1687, 1607, 1585, -1, 1585, 1607, 870, -1, 1585, 870, 801, -1,
 801, 870, 751, -1, 801, 751, 552, -1, 1008, 1620, 1606, -1,
 1606, 1620, 1776, -1, 1606, 1776, 1716, -1, 1716, 1776, 1960, -1,
 1716, 1960, 1906, -1, 1906, 1960, 2014, -1, 1906, 2014, 1976, -1,
 1976, 2014, 2036, -1, 1976, 2036, 2004, -1, 2004, 2036, 2037, -1,
 2004, 2037, 2005, -1, 2005, 2037, 2015, -1, 2005, 2015, 1977, -1,
 1977, 2015, 1961, -1, 1977, 1961, 1907, -1, 1907, 1961, 1777, -1,
 1907, 1777, 1717, -1, 1717, 1777, 1621, -1, 1717, 1621, 1607, -1,
 1607, 1621, 1088, -1, 1607, 1088, 1009, -1, 1400, 1646, 1620, -1,
 1620, 1646, 1844, -1, 1620, 1844, 1776, -1, 1776, 1844, 1998, -1,
 1776, 1998, 1960, -1, 1960, 1998, 2046, -1, 1960, 2046, 2014, -1,
 2014, 2046, 2060, -1, 2014, 2060, 2036, -1, 2036, 2060, 2061, -1,
 2036, 2061, 2037, -1, 2037, 2061, 2047, -1, 2037, 2047, 2015, -1,
 2015, 2047, 1999, -1, 2015, 1999, 1961, -1, 1961, 1999, 1845, -1,
 1961, 1845, 1777, -1, 1777, 1845, 1647, -1, 1777, 1647, 1621, -1,
 1621, 1647, 1420, -1, 1621, 1420, 1401, -1, 1420, 1421, 1401, -1,
 1401, 1421, 1213, -1, 1401, 1213, 1219, -1, 909, 1009, 1213, -1,
 1213, 1009, 1088, -1, 1213, 1088, 1219, -1, 909, 1213, 905, -1,
 905, 1213, 1051, -1, 905, 1051, 864, -1, 864, 1051, 875, -1,
 864, 875, 751, -1, 751, 875, 685, -1, 751, 685, 565, -1,
 365, 423, 441, -1, 441, 423, 545, -1, 441, 545, 565, -1,
 565, 545, 552, -1, 565, 552, 751, -1, 201, 197, 207, -1,
 207, 237, 201, -1, 201, 237, 249, -1, 201, 249, 250, -1,
 250, 249, 365, -1, 250, 365, 369, -1, 369, 365, 441, -1,
 197, 201, 139, -1, 139, 201, 96, -1, 139, 96, 131, -1,
 131, 96, 65, -1, 65, 96, 69, -1, 65, 69, 49, -1,
 49, 69, 19, -1, 49, 19, 18, -1, 1213, 1421, 1431, -1,
 875, 1051, 1108, -1, 565, 685, 768, -1, 369, 441, 504, -1,
 201, 250, 308, -1, 69, 96, 168, -1, 96, 201, 168, -1,
 168, 201, 308, -1, 168, 308, 317, -1, 317, 308, 388, -1,
 317, 388, 513, -1, 513, 388, 585, -1, 513, 585, 777, -1,
 777, 585, 842, -1, 777, 842, 1126, -1, 1126, 842, 1187, -1,
 1126, 1187, 1481, -1, 250, 369, 308, -1, 308, 369, 504, -1,
 308, 504, 388, -1, 388, 504, 576, -1, 388, 576, 585, -1,
 585, 576, 694, -1, 585, 694, 842, -1, 842, 694, 937, -1,
 842, 937, 1187, -1, 1187, 937, 1261, -1, 1187, 1261, 1481, -1,
 19, 69, 105, -1, 105, 69, 168, -1, 105, 168, 259, -1,
 259, 168, 317, -1, 259, 317, 450, -1, 450, 317, 513, -1,
 450, 513, 703, -1, 703, 513, 777, -1, 703, 777, 1060, -1,
 1060, 777, 1126, -1, 1060, 1126, 1481, -1, 685, 875, 768, -1,
 768, 875, 1108, -1, 768, 1108, 833, -1, 833, 1108, 1178, -1,
 833, 1178, 928, -1, 928, 1178, 1252, -1, 928, 1252, 1117, -1,
 1117, 1252, 1312, -1, 1117, 1312, 1321, -1, 1321, 1312, 1374, -1,
 1321, 1374, 1481, -1, 1051, 1213, 1108, -1, 1108, 1213, 1431, -1,
 1108, 1431, 1178, -1, 1178, 1431, 1441, -1, 1178, 1441, 1252, -1,
 1252, 1441, 1451, -1, 1252, 1451, 1312, -1, 1312, 1451, 1461, -1,
 1312, 1461, 1374, -1, 1374, 1461, 1471, -1, 1374, 1471, 1481, -1,
 441, 565, 504, -1, 504, 565, 768, -1, 504, 768, 576, -1,
 576, 768, 833, -1, 576, 833, 694, -1, 694, 833, 928, -1,
 694, 928, 937, -1, 937, 928, 1117, -1, 937, 1117, 1261, -1,
 1261, 1117, 1321, -1, 1261, 1321, 1481, -1, 3479, 3677, 3678, -1,
 1431, 1421, 3479, -1, 3479, 3678, 1431, -1, 1431, 3678, 3679, -1,
 1431, 3679, 1441, -1, 1441, 3679, 3680, -1, 1441, 3680, 1451, -1,
 1451, 3680, 3681, -1, 1451, 3681, 1461, -1, 1461, 3681, 3682, -1,
 1461, 3682, 1471, -1, 1471, 3682, 3683, -1, 1471, 3683, 1481, -1,
 3677, 3692, 3678, -1, 3678, 3692, 3694, -1, 3678, 3694, 3679, -1,
 3679, 3694, 3697, -1, 3679, 3697, 3680, -1, 3680, 3697, 3699, -1,
 3680, 3699, 3681, -1, 3681, 3699, 3704, -1, 3681, 3704, 3682, -1,
 3682, 3704, 3705, -1, 3682, 3705, 3683, -1, 3683, 3705, 3714, -1,
 3692, 3709, 3694, -1, 3694, 3709, 3711, -1, 3694, 3711, 3697, -1,
 3697, 3711, 3720, -1, 3697, 3720, 3699, -1, 3699, 3720, 3725, -1,
 3699, 3725, 3704, -1, 3704, 3725, 3737, -1, 3704, 3737, 3705, -1,
 3705, 3737, 3752, -1, 3705, 3752, 3714, -1, 3714, 3752, 3773, -1,
 3709, 3730, 3711, -1, 3711, 3730, 3735, -1, 3711, 3735, 3720, -1,
 3720, 3735, 3741, -1, 3720, 3741, 3725, -1, 3725, 3741, 3760, -1,
 3725, 3760, 3737, -1, 3737, 3760, 3785, -1, 3737, 3785, 3752, -1,
 3752, 3785, 3804, -1, 3752, 3804, 3773, -1, 3773, 3804, 3815, -1,
 3730, 3750, 3735, -1, 3735, 3750, 3757, -1, 3735, 3757, 3741, -1,
 3741, 3757, 3765, -1, 3741, 3765, 3760, -1, 3760, 3765, 3791, -1,
 3760, 3791, 3785, -1, 3785, 3791, 3810, -1, 3785, 3810, 3804, -1,
 3804, 3810, 3824, -1, 3804, 3824, 3815, -1, 3815, 3824, 3829, -1,
 3750, 3762, 3757, -1, 3757, 3762, 3768, -1, 3757, 3768, 3765, -1,
 3765, 3768, 3788, -1, 3765, 3788, 3791, -1, 3791, 3788, 3805, -1,
 3791, 3805, 3810, -1, 3810, 3805, 3817, -1, 3810, 3817, 3824, -1,
 3824, 3817, 3828, -1, 3824, 3828, 3829, -1, 3829, 3828, 3834, -1,
 3762, 3772, 3768, -1, 3768, 3772, 3781, -1, 3768, 3781, 3788, -1,
 3788, 3781, 3794, -1, 3788, 3794, 3805, -1, 3805, 3794, 3808, -1,
 3805, 3808, 3817, -1, 3817, 3808, 3822, -1, 3817, 3822, 3828, -1,
 3828, 3822, 3832, -1, 3828, 3832, 3834, -1, 3834, 3832, 3837, -1,
 3676, 3675, 3691, -1, 3771, 3772, 3761, -1, 3761, 3772, 3762, -1,
 3761, 3762, 3749, -1, 3749, 3762, 3750, -1, 3749, 3750, 3729, -1,
 3729, 3750, 3730, -1, 3729, 3730, 3708, -1, 3708, 3730, 3709, -1,
 3708, 3709, 3691, -1, 3691, 3709, 3692, -1, 3691, 3692, 3676, -1,
 3676, 3692, 3677, -1, 3686, 3687, 3698, -1, 3782, 3777, 3764, -1,
 3695, 3703, 3719, -1, 3795, 3787, 3778, -1, 3811, 3796, 3790, -1,
 3816, 3814, 3838, -1, 3826, 3838, 3833, -1, 3827, 3823, 3809, -1,
 3814, 3816, 3754, -1, 3818, 3838, 3814, -1, 3724, 3738, 3754, -1,
 3754, 3738, 3776, -1, 3754, 3776, 3814, -1, 3814, 3776, 3812, -1,
 3814, 3812, 3818, -1, 3811, 3790, 3813, -1, 3703, 3724, 3719, -1,
 3719, 3724, 3754, -1, 3719, 3754, 3766, -1, 3766, 3754, 3816, -1,
 3766, 3816, 3819, -1, 3819, 3816, 3838, -1, 3690, 3695, 3702, -1,
 3702, 3695, 3719, -1, 3702, 3719, 3734, -1, 3734, 3719, 3766, -1,
 3734, 3766, 3789, -1, 3789, 3766, 3819, -1, 3789, 3819, 3825, -1,
 3825, 3819, 3838, -1, 3687, 3690, 3698, -1, 3698, 3690, 3702, -1,
 3698, 3702, 3722, -1, 3722, 3702, 3734, -1, 3722, 3734, 3753, -1,
 3753, 3734, 3789, -1, 3753, 3789, 3799, -1, 3799, 3789, 3825, -1,
 3799, 3825, 3826, -1, 3826, 3825, 3838, -1, 3685, 3686, 3696, -1,
 3696, 3686, 3698, -1, 3696, 3698, 3716, -1, 3716, 3698, 3722, -1,
 3716, 3722, 3739, -1, 3739, 3722, 3753, -1, 3739, 3753, 3775, -1,
 3775, 3753, 3799, -1, 3775, 3799, 3809, -1, 3809, 3799, 3826, -1,
 3809, 3826, 3827, -1, 3827, 3826, 3833, -1, 3777, 3774, 3764, -1,
 3764, 3774, 3763, -1, 3764, 3763, 3751, -1, 3784, 3782, 3767, -1,
 3767, 3782, 3764, -1, 3767, 3764, 3755, -1, 3755, 3764, 3751, -1,
 3755, 3751, 3731, -1, 3787, 3784, 3778, -1, 3778, 3784, 3767, -1,
 3778, 3767, 3756, -1, 3756, 3767, 3755, -1, 3756, 3755, 3733, -1,
 3733, 3755, 3731, -1, 3733, 3731, 3710, -1, 3796, 3795, 3790, -1,
 3790, 3795, 3778, -1, 3790, 3778, 3759, -1, 3759, 3778, 3756, -1,
 3759, 3756, 3736, -1, 3736, 3756, 3733, -1, 3736, 3733, 3713, -1,
 3713, 3733, 3710, -1, 3713, 3710, 3693, -1, 3684, 3685, 3693, -1,
 3693, 3685, 3696, -1, 3693, 3696, 3713, -1, 3713, 3696, 3716, -1,
 3713, 3716, 3736, -1, 3736, 3716, 3739, -1, 3736, 3739, 3759, -1,
 3759, 3739, 3775, -1, 3759, 3775, 3790, -1, 3790, 3775, 3809, -1,
 3790, 3809, 3813, -1, 3813, 3809, 3823, -1, 3675, 3684, 3691, -1,
 3691, 3684, 3693, -1, 3691, 3693, 3708, -1, 3708, 3693, 3710, -1,
 3708, 3710, 3729, -1, 3729, 3710, 3731, -1, 3729, 3731, 3749, -1,
 3749, 3731, 3751, -1, 3749, 3751, 3761, -1, 3761, 3751, 3763, -1,
 3761, 3763, 3771, -1, 3771, 3763, 3774, -1, 287, 359, 377, -1,
 482, 558, 613, -1, 743, 883, 899, -1, 1097, 1225, 1233, -1,
 1301, 1293, 1241, -1, 1015, 961, 1023, -1, 667, 977, 969, -1,
 1023, 961, 1031, -1, 1031, 961, 819, -1, 1031, 819, 1039, -1,
 917, 1285, 1001, -1, 1001, 1285, 1167, -1, 1001, 1167, 1159, -1,
 1301, 1241, 1349, -1, 1349, 1241, 1233, -1, 1349, 1233, 1357, -1,
 1357, 1233, 1225, -1, 1357, 1225, 1554, -1, 969, 639, 667, -1,
 667, 639, 631, -1, 667, 631, 429, -1, 631, 415, 429, -1,
 429, 415, 407, -1, 429, 407, 297, -1, 985, 977, 757, -1,
 757, 977, 667, -1, 757, 667, 537, -1, 537, 667, 429, -1,
 537, 429, 347, -1, 347, 429, 297, -1, 347, 297, 229, -1,
 229, 297, 157, -1, 883, 1097, 899, -1, 899, 1097, 1233, -1,
 899, 1233, 917, -1, 917, 1233, 1241, -1, 917, 1241, 1285, -1,
 1285, 1241, 1293, -1, 558, 743, 613, -1, 613, 743, 899, -1,
 613, 899, 647, -1, 647, 899, 917, -1, 647, 917, 819, -1,
 819, 917, 1001, -1, 819, 1001, 1039, -1, 1039, 1001, 1159, -1,
 359, 482, 377, -1, 377, 482, 613, -1, 377, 613, 493, -1,
 493, 613, 647, -1, 493, 647, 621, -1, 621, 647, 819, -1,
 621, 819, 891, -1, 891, 819, 961, -1, 891, 961, 993, -1,
 993, 961, 1015, -1, 191, 287, 229, -1, 229, 287, 377, -1,
 229, 377, 347, -1, 347, 377, 493, -1, 347, 493, 537, -1,
 537, 493, 621, -1, 537, 621, 757, -1, 757, 621, 891, -1,
 757, 891, 985, -1, 985, 891, 993, -1, 407, 221, 297, -1,
 297, 221, 213, -1, 297, 213, 157, -1, 157, 213, 85, -1,
 157, 85, 77, -1, 191, 229, 145, -1, 145, 229, 157, -1,
 145, 157, 59, -1, 59, 157, 77, -1, 59, 77, 26, -1,
 1553, 1356, 1692, -1, 1159, 1167, 1627, -1, 976, 968, 1590, -1,
 1014, 992, 1598, -1, 1598, 992, 984, -1, 1598, 984, 976, -1,
 969, 977, 1591, -1, 1591, 977, 985, -1, 976, 1590, 1598, -1,
 1598, 1590, 1678, -1, 1598, 1678, 1700, -1, 1700, 1678, 1768, -1,
 1700, 1768, 1782, -1, 1782, 1768, 1836, -1, 1782, 1836, 1850, -1,
 1850, 1836, 1871, -1, 1850, 1871, 1900, -1, 1900, 1871, 1837, -1,
 1900, 1837, 1851, -1, 1851, 1837, 1769, -1, 1851, 1769, 1783, -1,
 1783, 1769, 1679, -1, 1783, 1679, 1701, -1, 1701, 1679, 1591, -1,
 1701, 1591, 1599, -1, 1599, 1591, 985, -1, 1599, 985, 993, -1,
 1038, 1030, 1612, -1, 1612, 1030, 1022, -1, 1612, 1022, 1014, -1,
 1014, 1598, 1612, -1, 1612, 1598, 1700, -1, 1612, 1700, 1708, -1,
 1708, 1700, 1782, -1, 1708, 1782, 1810, -1, 1810, 1782, 1850, -1,
 1810, 1850, 1912, -1, 1912, 1850, 1900, -1, 1912, 1900, 1924, -1,
 1924, 1900, 1851, -1, 1924, 1851, 1913, -1, 1913, 1851, 1783, -1,
 1913, 1783, 1811, -1, 1811, 1783, 1701, -1, 1811, 1701, 1709, -1,
 1709, 1701, 1599, -1, 1709, 1599, 1613, -1, 1613, 1599, 993, -1,
 1613, 993, 1015, -1, 1284, 1166, 1626, -1, 1626, 1166, 1158, -1,
 1626, 1158, 1038, -1, 1015, 1023, 1613, -1, 1613, 1023, 1031, -1,
 1613, 1031, 1039, -1, 1038, 1612, 1626, -1, 1626, 1612, 1708, -1,
 1626, 1708, 1742, -1, 1742, 1708, 1810, -1, 1742, 1810, 1888, -1,
 1888, 1810, 1912, -1, 1888, 1912, 1952, -1, 1952, 1912, 1924, -1,
 1952, 1924, 1970, -1, 1970, 1924, 1913, -1, 1970, 1913, 1953, -1,
 1953, 1913, 1811, -1, 1953, 1811, 1889, -1, 1889, 1811, 1709, -1,
 1889, 1709, 1743, -1, 1743, 1709, 1613, -1, 1743, 1613, 1627, -1,
 1627, 1613, 1039, -1, 1627, 1039, 1159, -1, 1652, 1292, 1284, -1,
 1284, 1626, 1652, -1, 1652, 1626, 1742, -1, 1652, 1742, 1790, -1,
 1790, 1742, 1888, -1, 1790, 1888, 1936, -1, 1936, 1888, 1952, -1,
 1936, 1952, 1990, -1, 1990, 1952, 1970, -1, 1990, 1970, 2008, -1,
 2008, 1970, 1953, -1, 2008, 1953, 1991, -1, 1991, 1953, 1889, -1,
 1991, 1889, 1937, -1, 1937, 1889, 1743, -1, 1937, 1743, 1791, -1,
 1791, 1743, 1627, -1, 1791, 1627, 1653, -1, 1653, 1627, 1167, -1,
 1653, 1167, 1285, -1, 1356, 1348, 1652, -1, 1652, 1348, 1300, -1,
 1652, 1300, 1292, -1, 1285, 1293, 1653, -1, 1653, 1293, 1301, -1,
 1653, 1301, 1349, -1, 1356, 1652, 1692, -1, 1692, 1652, 1790, -1,
 1692, 1790, 1880, -1, 1880, 1790, 1936, -1, 1880, 1936, 1982, -1,
 1982, 1936, 1990, -1, 1982, 1990, 2028, -1, 2028, 1990, 2008, -1,
 2028, 2008, 2040, -1, 2040, 2008, 1991, -1, 2040, 1991, 2029, -1,
 2029, 1991, 1937, -1, 2029, 1937, 1983, -1, 1983, 1937, 1791, -1,
 1983, 1791, 1881, -1, 1881, 1791, 1653, -1, 1881, 1653, 1693, -1,
 1693, 1653, 1349, -1, 1693, 1349, 1357, -1, 1553, 1692, 1728, -1,
 1728, 1692, 1880, -1, 1728, 1880, 1944, -1, 1944, 1880, 1982, -1,
 1944, 1982, 2020, -1, 2020, 1982, 2028, -1, 2020, 2028, 2052, -1,
 2052, 2028, 2040, -1, 2052, 2040, 2064, -1, 2064, 2040, 2029, -1,
 2064, 2029, 2053, -1, 2053, 2029, 1983, -1, 2053, 1983, 2021, -1,
 2021, 1983, 1881, -1, 2021, 1881, 1945, -1, 1945, 1881, 1693, -1,
 1945, 1693, 1729, -1, 1729, 1693, 1357, -1, 1729, 1357, 1554, -1,
 969, 965, 639, -1, 639, 965, 635, -1, 639, 635, 631, -1,
 631, 635, 627, -1, 631, 627, 415, -1, 415, 627, 411, -1,
 415, 411, 407, -1, 407, 411, 403, -1, 407, 403, 221, -1,
 221, 403, 217, -1, 221, 217, 213, -1, 213, 217, 209, -1,
 213, 209, 85, -1, 85, 209, 81, -1, 85, 81, 77, -1,
 81, 73, 77, -1, 77, 73, 6, -1, 77, 6, 26, -1,
 1356, 1553, 1224, -1, 1232, 1348, 1356, -1, 1240, 1292, 1300, -1,
 1038, 1158, 1000, -1, 1000, 1158, 1166, -1, 1292, 1240, 1284, -1,
 1284, 1240, 916, -1, 1284, 916, 1166, -1, 1038, 1000, 1030, -1,
 1030, 1000, 818, -1, 1030, 818, 1022, -1, 1022, 960, 1014, -1,
 1014, 960, 890, -1, 1014, 890, 992, -1, 992, 890, 756, -1,
 992, 756, 984, -1, 984, 756, 666, -1, 984, 666, 976, -1,
 976, 666, 638, -1, 976, 638, 968, -1, 1356, 1224, 1232, -1,
 1232, 1224, 1096, -1, 1232, 1096, 898, -1, 1096, 882, 898, -1,
 898, 882, 742, -1, 898, 742, 612, -1, 742, 557, 612, -1,
 612, 557, 481, -1, 612, 481, 376, -1, 481, 358, 376, -1,
 376, 358, 286, -1, 376, 286, 228, -1, 58, 156, 144, -1,
 144, 156, 228, -1, 144, 228, 190, -1, 190, 228, 286, -1,
 58, 25, 76, -1, 58, 76, 156, -1, 156, 76, 84, -1,
 156, 84, 212, -1, 212, 296, 156, -1, 156, 296, 346, -1,
 156, 346, 228, -1, 228, 346, 492, -1, 228, 492, 376, -1,
 376, 492, 646, -1, 376, 646, 612, -1, 612, 646, 916, -1,
 612, 916, 898, -1, 898, 916, 1240, -1, 898, 1240, 1232, -1,
 1232, 1240, 1300, -1, 1232, 1300, 1348, -1, 1166, 916, 1000, -1,
 1000, 916, 646, -1, 1000, 646, 818, -1, 818, 646, 492, -1,
 818, 492, 620, -1, 620, 492, 346, -1, 620, 346, 536, -1,
 536, 346, 296, -1, 536, 296, 428, -1, 212, 220, 296, -1,
 296, 220, 406, -1, 296, 406, 428, -1, 428, 406, 414, -1,
 428, 414, 630, -1, 1022, 818, 960, -1, 960, 818, 620, -1,
 960, 620, 890, -1, 890, 620, 536, -1, 890, 536, 756, -1,
 756, 536, 428, -1, 756, 428, 666, -1, 666, 428, 630, -1,
 666, 630, 638, -1, 739, 554, 609, -1, 478, 355, 373, -1,
 283, 187, 225, -1, 141, 55, 153, -1, 1019, 957, 1011, -1,
 1027, 1035, 997, -1, 1281, 1289, 1237, -1, 1237, 1289, 1297, -1,
 1237, 1297, 1229, -1, 1229, 1297, 1345, -1, 1229, 1345, 1353, -1,
 1035, 1155, 997, -1, 997, 1155, 1163, -1, 997, 1163, 913, -1,
 957, 1019, 815, -1, 965, 973, 635, -1, 635, 973, 663, -1,
 635, 663, 627, -1, 627, 663, 425, -1, 627, 425, 411, -1,
 411, 425, 403, -1, 403, 425, 293, -1, 403, 293, 217, -1,
 217, 293, 209, -1, 209, 293, 153, -1, 209, 153, 81, -1,
 1163, 1281, 913, -1, 913, 1281, 1237, -1, 913, 1237, 895, -1,
 895, 1237, 1229, -1, 81, 153, 73, -1, 73, 153, 55, -1,
 73, 55, 6, -1, 187, 141, 225, -1, 225, 141, 153, -1,
 225, 153, 343, -1, 343, 153, 293, -1, 343, 293, 533, -1,
 533, 293, 425, -1, 533, 425, 753, -1, 753, 425, 663, -1,
 753, 663, 981, -1, 981, 663, 973, -1, 355, 283, 373, -1,
 373, 283, 225, -1, 373, 225, 489, -1, 489, 225, 343, -1,
 489, 343, 617, -1, 617, 343, 533, -1, 617, 533, 887, -1,
 887, 533, 753, -1, 887, 753, 989, -1, 989, 753, 981, -1,
 554, 478, 609, -1, 609, 478, 373, -1, 609, 373, 643, -1,
 643, 373, 489, -1, 643, 489, 815, -1, 815, 489, 617, -1,
 815, 617, 957, -1, 957, 617, 887, -1, 957, 887, 1011, -1,
 1011, 887, 989, -1, 879, 739, 895, -1, 895, 739, 609, -1,
 895, 609, 913, -1, 913, 609, 643, -1, 913, 643, 997, -1,
 997, 643, 815, -1, 997, 815, 1027, -1, 1027, 815, 1019, -1,
 879, 895, 1093, -1, 1093, 895, 1229, -1, 1093, 1229, 1221, -1,
 1221, 1229, 1353, -1, 1221, 1353, 1408, -1, 25, 5, 72, -1,
 964, 968, 634, -1, 634, 968, 638, -1, 634, 638, 626, -1,
 626, 638, 630, -1, 626, 630, 410, -1, 410, 630, 414, -1,
 410, 414, 402, -1, 402, 414, 406, -1, 402, 406, 216, -1,
 216, 406, 220, -1, 216, 220, 208, -1, 208, 220, 212, -1,
 208, 212, 80, -1, 80, 212, 84, -1, 80, 84, 72, -1,
 72, 84, 76, -1, 72, 76, 25, -1, 1408, 1353, 1689, -1,
 1018, 1026, 1608, -1, 1011, 989, 1595, -1, 1595, 989, 981, -1,
 1595, 981, 973, -1, 1586, 964, 972, -1, 972, 1594, 1586, -1,
 1586, 1594, 1696, -1, 1586, 1696, 1674, -1, 1674, 1696, 1778, -1,
 1674, 1778, 1764, -1, 1764, 1778, 1846, -1, 1764, 1846, 1832, -1,
 1832, 1846, 1898, -1, 1832, 1898, 1869, -1, 1869, 1898, 1847, -1,
 1869, 1847, 1833, -1, 1833, 1847, 1779, -1, 1833, 1779, 1765, -1,
 1765, 1779, 1697, -1, 1765, 1697, 1675, -1, 1675, 1697, 1595, -1,
 1675, 1595, 1587, -1, 1587, 1595, 973, -1, 1587, 973, 965, -1,
 1035, 1027, 1609, -1, 1609, 1027, 1019, -1, 1609, 1019, 1011, -1,
 972, 980, 1594, -1, 1594, 980, 988, -1, 1594, 988, 1010, -1,
 1011, 1595, 1609, -1, 1609, 1595, 1697, -1, 1609, 1697, 1705, -1,
 1705, 1697, 1779, -1, 1705, 1779, 1807, -1, 1807, 1779, 1847, -1,
 1807, 1847, 1909, -1, 1909, 1847, 1898, -1, 1909, 1898, 1922, -1,
 1922, 1898, 1846, -1, 1922, 1846, 1908, -1, 1908, 1846, 1778, -1,
 1908, 1778, 1806, -1, 1806, 1778, 1696, -1, 1806, 1696, 1704, -1,
 1704, 1696, 1594, -1, 1704, 1594, 1608, -1, 1608, 1594, 1010, -1,
 1608, 1010, 1018, -1, 1035, 1623, 1155, -1, 1155, 1623, 1163, -1,
 1035, 1609, 1623, -1, 1623, 1609, 1705, -1, 1623, 1705, 1739, -1,
 1739, 1705, 1807, -1, 1739, 1807, 1885, -1, 1885, 1807, 1909, -1,
 1885, 1909, 1949, -1, 1949, 1909, 1922, -1, 1949, 1922, 1968, -1,
 1968, 1922, 1908, -1, 1968, 1908, 1948, -1, 1948, 1908, 1806, -1,
 1948, 1806, 1884, -1, 1884, 1806, 1704, -1, 1884, 1704, 1738, -1,
 1738, 1704, 1608, -1, 1738, 1608, 1622, -1, 1622, 1608, 1026, -1,
 1622, 1026, 1034, -1, 1649, 1289, 1281, -1, 1034, 1154, 1622, -1,
 1622, 1154, 1162, -1, 1622, 1162, 1280, -1, 1280, 1648, 1622, -1,
 1622, 1648, 1786, -1, 1622, 1786, 1738, -1, 1738, 1786, 1932, -1,
 1738, 1932, 1884, -1, 1884, 1932, 1986, -1, 1884, 1986, 1948, -1,
 1948, 1986, 2006, -1, 1948, 2006, 1968, -1, 1968, 2006, 1987, -1,
 1968, 1987, 1949, -1, 1949, 1987, 1933, -1, 1949, 1933, 1885, -1,
 1885, 1933, 1787, -1, 1885, 1787, 1739, -1, 1739, 1787, 1649, -1,
 1739, 1649, 1623, -1, 1623, 1649, 1281, -1, 1623, 1281, 1163, -1,
 1353, 1345, 1649, -1, 1649, 1345, 1297, -1, 1649, 1297, 1289, -1,
 1280, 1288, 1648, -1, 1648, 1288, 1296, -1, 1648, 1296, 1344, -1,
 1353, 1649, 1689, -1, 1689, 1649, 1787, -1, 1689, 1787, 1877, -1,
 1877, 1787, 1933, -1, 1877, 1933, 1979, -1, 1979, 1933, 1987, -1,
 1979, 1987, 2025, -1, 2025, 1987, 2006, -1, 2025, 2006, 2038, -1,
 2038, 2006, 1986, -1, 2038, 1986, 2024, -1, 2024, 1986, 1932, -1,
 2024, 1932, 1978, -1, 1978, 1932, 1786, -1, 1978, 1786, 1876, -1,
 1876, 1786, 1648, -1, 1876, 1648, 1688, -1, 1688, 1648, 1344, -1,
 1688, 1344, 1352, -1, 1408, 1689, 1725, -1, 1725, 1689, 1877, -1,
 1725, 1877, 1941, -1, 1941, 1877, 1979, -1, 1941, 1979, 2017, -1,
 2017, 1979, 2025, -1, 2017, 2025, 2049, -1, 2049, 2025, 2038, -1,
 2049, 2038, 2062, -1, 2062, 2038, 2024, -1, 2062, 2024, 2048, -1,
 2048, 2024, 1978, -1, 2048, 1978, 2016, -1, 2016, 1978, 1876, -1,
 2016, 1876, 1940, -1, 1940, 1876, 1688, -1, 1940, 1688, 1724, -1,
 1724, 1688, 1352, -1, 1724, 1352, 1407, -1, 912, 894, 1228, -1,
 477, 553, 608, -1, 282, 354, 372, -1, 140, 186, 224, -1,
 1010, 956, 1018, -1, 662, 972, 964, -1, 1018, 956, 1026, -1,
 1026, 956, 814, -1, 1026, 814, 1034, -1, 1344, 1296, 1236, -1,
 1236, 1296, 1288, -1, 1236, 1288, 1280, -1, 5, 54, 72, -1,
 72, 54, 152, -1, 1407, 1352, 1220, -1, 1220, 1352, 1228, -1,
 1220, 1228, 1092, -1, 1092, 1228, 894, -1, 1092, 894, 878, -1,
 878, 894, 738, -1, 292, 208, 152, -1, 152, 208, 80, -1,
 152, 80, 72, -1, 1352, 1344, 1228, -1, 1228, 1344, 1236, -1,
 1228, 1236, 912, -1, 912, 1236, 1280, -1, 912, 1280, 996, -1,
 996, 1280, 1162, -1, 996, 1162, 1154, -1, 424, 402, 292, -1,
 292, 402, 216, -1, 292, 216, 208, -1, 553, 738, 608, -1,
 608, 738, 894, -1, 608, 894, 642, -1, 642, 894, 912, -1,
 642, 912, 814, -1, 814, 912, 996, -1, 814, 996, 1034, -1,
 1034, 996, 1154, -1, 964, 634, 662, -1, 662, 634, 626, -1,
 662, 626, 424, -1, 424, 626, 410, -1, 424, 410, 402, -1,
 54, 140, 152, -1, 152, 140, 224, -1, 152, 224, 292, -1,
 292, 224, 342, -1, 292, 342, 424, -1, 424, 342, 532, -1,
 424, 532, 662, -1, 662, 532, 752, -1, 662, 752, 972, -1,
 972, 752, 980, -1, 186, 282, 224, -1, 224, 282, 372, -1,
 224, 372, 342, -1, 342, 372, 488, -1, 342, 488, 532, -1,
 532, 488, 616, -1, 532, 616, 752, -1, 752, 616, 886, -1,
 752, 886, 980, -1, 980, 886, 988, -1, 354, 477, 372, -1,
 372, 477, 608, -1, 372, 608, 488, -1, 488, 608, 642, -1,
 488, 642, 616, -1, 616, 642, 814, -1, 616, 814, 886, -1,
 886, 814, 956, -1, 886, 956, 988, -1, 988, 956, 1010, -1,
 5, 4, 54, -1, 54, 4, 89, -1, 54, 89, 140, -1,
 140, 89, 186, -1, 186, 89, 241, -1, 186, 241, 282, -1,
 282, 241, 354, -1, 354, 241, 434, -1, 354, 434, 477, -1,
 477, 434, 553, -1, 553, 434, 678, -1, 553, 678, 738, -1,
 738, 678, 878, -1, 878, 678, 1044, -1, 878, 1044, 1092, -1,
 1092, 1044, 1220, -1, 1220, 1044, 1406, -1, 1220, 1406, 1407, -1,
 4, 98, 161, -1, 835, 1180, 1254, -1, 1474, 1464, 1367, -1,
 1254, 1180, 1474, -1, 1119, 1474, 1180, -1, 1119, 1180, 770, -1,
 770, 1180, 835, -1, 770, 835, 506, -1, 1053, 1474, 1119, -1,
 930, 1314, 1110, -1, 1110, 1314, 1367, -1, 1110, 1367, 1305, -1,
 1305, 1367, 1464, -1, 1305, 1464, 1454, -1, 1053, 1119, 696, -1,
 696, 1119, 770, -1, 696, 770, 443, -1, 443, 770, 506, -1,
 443, 506, 252, -1, 578, 930, 687, -1, 687, 930, 1110, -1,
 687, 1110, 921, -1, 921, 1110, 1305, -1, 921, 1305, 1245, -1,
 1245, 1305, 1454, -1, 1245, 1454, 1444, -1, 310, 578, 381, -1,
 381, 578, 687, -1, 381, 687, 569, -1, 569, 687, 921, -1,
 569, 921, 826, -1, 826, 921, 1245, -1, 826, 1245, 1171, -1,
 1171, 1245, 1444, -1, 1171, 1444, 1434, -1, 98, 310, 161, -1,
 161, 310, 381, -1, 161, 381, 301, -1, 301, 381, 569, -1,
 301, 569, 497, -1, 497, 569, 826, -1, 497, 826, 761, -1,
 761, 826, 1171, -1, 761, 1171, 1101, -1, 1101, 1171, 1434, -1,
 1101, 1434, 1424, -1, 4, 161, 89, -1, 89, 161, 301, -1,
 89, 301, 241, -1, 241, 301, 497, -1, 241, 497, 434, -1,
 434, 497, 761, -1, 434, 761, 678, -1, 678, 761, 1101, -1,
 678, 1101, 1044, -1, 1044, 1101, 1424, -1, 1044, 1424, 1406, -1,
 1314, 1474, 1367, -1, 98, 252, 310, -1, 310, 252, 506, -1,
 310, 506, 578, -1, 578, 506, 835, -1, 578, 835, 930, -1,
 930, 835, 1254, -1, 930, 1254, 1314, -1, 1314, 1254, 1474, -1,
 2727, 1406, 1424, -1, 2727, 1424, 2731, -1, 2731, 1424, 1434, -1,
 2731, 1434, 2735, -1, 2735, 1434, 1444, -1, 2735, 1444, 2739, -1,
 2739, 1444, 1454, -1, 2739, 1454, 2743, -1, 2743, 1454, 1464, -1,
 2743, 1464, 2747, -1, 2747, 1464, 1474, -1, 2747, 1474, 2751, -1,
 3158, 3134, 3289, -1, 3134, 3104, 3255, -1, 3104, 3094, 3240, -1,
 3094, 3058, 3220, -1, 3058, 3046, 3210, -1, 3046, 3038, 3190, -1,
 3046, 3190, 3210, -1, 3210, 3190, 3268, -1, 3210, 3268, 3277, -1,
 3277, 3268, 3335, -1, 3277, 3335, 3352, -1, 3352, 3335, 3364, -1,
 3352, 3364, 3368, -1, 3368, 3364, 3334, -1, 3368, 3334, 3351, -1,
 3351, 3334, 3267, -1, 3351, 3267, 3276, -1, 3058, 3210, 3220, -1,
 3220, 3210, 3277, -1, 3220, 3277, 3306, -1, 3306, 3277, 3352, -1,
 3306, 3352, 3373, -1, 3373, 3352, 3368, -1, 3373, 3368, 3392, -1,
 3392, 3368, 3351, -1, 3392, 3351, 3372, -1, 3372, 3351, 3276, -1,
 3372, 3276, 3305, -1, 3094, 3220, 3240, -1, 3240, 3220, 3306, -1,
 3240, 3306, 3327, -1, 3327, 3306, 3373, -1, 3327, 3373, 3411, -1,
 3411, 3373, 3392, -1, 3411, 3392, 3438, -1, 3438, 3392, 3372, -1,
 3438, 3372, 3410, -1, 3410, 3372, 3305, -1, 3410, 3305, 3326, -1,
 3104, 3240, 3255, -1, 3255, 3240, 3327, -1, 3255, 3327, 3381, -1,
 3381, 3327, 3411, -1, 3381, 3411, 3463, -1, 3463, 3411, 3438, -1,
 3463, 3438, 3520, -1, 3520, 3438, 3410, -1, 3520, 3410, 3462, -1,
 3462, 3410, 3326, -1, 3462, 3326, 3380, -1, 3134, 3255, 3289, -1,
 3289, 3255, 3381, -1, 3289, 3381, 3429, -1, 3429, 3381, 3463, -1,
 3429, 3463, 3563, -1, 3563, 3463, 3520, -1, 3563, 3520, 3588, -1,
 3588, 3520, 3462, -1, 3588, 3462, 3562, -1, 3562, 3462, 3380, -1,
 3562, 3380, 3428, -1, 2751, 2886, 2747, -1, 2747, 2886, 2898, -1,
 2747, 2898, 2743, -1, 2743, 2898, 2906, -1, 2743, 2906, 2739, -1,
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