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 0.001375 0.010485 0.007157, 0.001381 0.010557 0.007186, 0.001383 0.010635 0.007196, 0.001383 0.010375 -0.007043, 0.001395 0.010423 -0.007104,
 0.001397 0.003035 -0.003372, 0.001397 0.003035 0.003372, 0.001397 0.010485 -0.003372, 0.001397 0.010485 0.003372, 0.001401 0.002957 -0.003382,
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 0.001528 0.003495 -0.004097, 0.001531 0.003635 0.003900, 0.001536 0.001885 0.005166, 0.001548 0.003573 0.003945, 0.001555 0.003485 -0.004169,
 0.001556 0.001852 0.005177, 0.001571 0.003525 0.004003, 0.001579 0.001823 0.005191, 0.001598 0.003495 0.004070, 0.001626 0.003485 0.004142,
 0.001635 0.001775 0.005223, 0.001638 0.003485 -0.006834, 0.001648 0.010035 0.003809, 0.001652 0.010113 0.003818, 0.001656 0.003475 -0.006910,
 0.001664 0.010185 0.003846, 0.001670 0.010635 0.007126, 0.001672 0.010785 0.007135, 0.001673 0.003445 -0.006980, 0.001683 0.010247 0.003889,
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 0.001825 0.003035 0.003161, 0.001825 0.010485 -0.003161, 0.001825 0.010485 0.003161, 0.001830 0.002957 -0.003170, 0.001830 0.002957 0.003170,
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 0.001882 0.002035 0.008219, 0.001882 0.003275 0.008219, 0.001883 0.003785 -0.003696, 0.001884 0.010035 -0.003698, 0.001889 0.010113 -0.003707,
 0.001889 0.001957 0.008212, 0.001900 0.002775 -0.003291, 0.001900 0.002775 0.003291, 0.001900 0.010745 -0.003291, 0.001900 0.010745 0.003291,
 0.001902 0.010185 -0.003733, 0.001909 0.003185 -0.007068, 0.001910 0.001885 0.008190, 0.001911 0.002735 -0.007074, 0.001912 0.003785 -0.003683,
 0.001917 0.003707 -0.003692, 0.001924 0.010247 -0.003776, 0.001930 0.003635 -0.003719, 0.001936 0.002745 -0.003354, 0.001936 0.002745 0.003354,
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 0.001975 0.003785 0.003650, 0.001975 0.002735 -0.003421, 0.001975 0.002735 0.003421, 0.001975 0.010785 -0.003421, 0.001975 0.010785 0.003421,
 0.001979 0.003257 0.008304, 0.001979 0.003707 0.003659, 0.001981 0.003525 -0.003816, 0.001985 0.010325 -0.003896, 0.001988 0.001775 0.008113,
 0.001994 0.003635 0.003686, 0.001994 0.010335 0.006739, 0.002014 0.003495 -0.003881, 0.002016 0.003573 0.003727, 0.002016 0.010345 0.006813,
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 0.002068 0.010485 0.006988, 0.002077 0.010557 0.007017, 0.002079 0.010635 0.007027, 0.002080 0.003495 0.003846, 0.002082 0.010423 -0.006934,
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 0.002897 0.010114 0.002986, 0.002898 0.010113 0.002985, 0.002898 0.003525 0.003177, 0.002903 0.010785 0.002976, 0.002903 0.003571 0.003082,
 0.002903 0.010100 0.002976, 0.002904 0.002957 -0.002228, 0.002904 0.002957 0.002228, 0.002904 0.010563 -0.002228, 0.002904 0.010563 0.002228,
 0.002908 0.010314 0.003222, 0.002910 0.010083 0.002964, 0.002911 0.003475 -0.006482, 0.002917 0.010325 0.003256, 0.002917 0.010325 0.003257,
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 0.002931 0.003753 0.002938, 0.002933 0.010038 0.002936, 0.002934 0.010035 0.002934, 0.002934 0.010785 0.002934, 0.002936 0.010038 0.002933,
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 0.002942 0.003560 0.003039, 0.002942 0.003485 -0.003338, 0.002943 0.010335 -0.003338, 0.002947 0.003495 0.003230, 0.002964 0.010083 0.002910,
 0.002965 0.002823 -0.002275, 0.002965 0.002823 0.002275, 0.002965 0.010697 -0.002275, 0.002965 0.010697 0.002275, 0.002966 0.003397 -0.006605,
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 3441, 4067, 3121, -1, 3121, 4067, 4013, -1, 3121, 4013, 2960, -1,
 2960, 4013, 3905, -1, 2960, 3905, 2842, -1, 2842, 3905, 3555, -1,
 2842, 3555, 3065, -1, 336, 432, 371, -1, 371, 432, 409, -1,
 336, 309, 432, -1, 432, 309, 285, -1, 432, 285, 274, -1,
 4742, 4635, 4647, -1, 4742, 4647, 4741, -1, 4439, 4536, 4703, -1,
 4703, 4536, 4550, -1, 4634, 4725, 4729, -1, 4726, 4721, 4625, -1,
 4647, 4652, 4741, -1, 4741, 4652, 4646, -1, 4741, 4646, 4739, -1,
 4739, 4646, 4634, -1, 4739, 4634, 4735, -1, 4735, 4634, 4729, -1,
 4634, 4624, 4725, -1, 4725, 4624, 4589, -1, 4725, 4589, 4402, -1,
 4402, 4589, 4572, -1, 4402, 4572, 4549, -1, 4499, 4105, 4513, -1,
 4513, 4105, 4402, -1, 4513, 4402, 4535, -1, 4535, 4402, 4549, -1,
 4419, 4050, 4431, -1, 4431, 4050, 4105, -1, 4431, 4105, 4466, -1,
 4466, 4105, 4499, -1, 4726, 4625, 4731, -1, 4550, 4573, 4703, -1,
 4703, 4573, 4590, -1, 4703, 4590, 4705, -1, 4705, 4590, 4625, -1,
 4705, 4625, 4719, -1, 4719, 4625, 4721, -1, 4419, 4432, 4050, -1,
 4050, 4432, 4467, -1, 4050, 4467, 4406, -1, 4406, 4467, 4500, -1,
 4406, 4500, 4439, -1, 4439, 4500, 4514, -1, 4439, 4514, 4536, -1,
 4635, 4742, 4625, -1, 4625, 4742, 4737, -1, 4625, 4737, 4731, -1,
 2604, 2605, 2732, -1, 2732, 2605, 2733, -1, 2732, 2733, 3483, -1,
 3483, 2733, 3484, -1, 3956, 3957, 4078, -1, 4078, 3957, 4079, -1,
 4078, 4079, 4458, -1, 4458, 4079, 4459, -1, 1082, 1119, 865, -1,
 4459, 4079, 3891, -1, 1422, 1219, 1204, -1, 3891, 4079, 3882, -1,
 1082, 865, 1073, -1, 1204, 1219, 1135, -1, 1135, 1219, 1118, -1,
 1135, 1118, 999, -1, 2476, 2633, 2738, -1, 3252, 3515, 3511, -1,
 999, 1118, 865, -1, 865, 1118, 1081, -1, 865, 1081, 1073, -1,
 1862, 1679, 1588, -1, 2171, 2298, 2476, -1, 3511, 3429, 3252, -1,
 3252, 3429, 3347, -1, 3252, 3347, 3042, -1, 576, 1119, 648, -1,
 648, 1119, 1220, -1, 648, 1220, 744, -1, 744, 1220, 1423, -1,
 744, 1423, 794, -1, 794, 1423, 1680, -1, 794, 1680, 851, -1,
 851, 1680, 1863, -1, 851, 1863, 944, -1, 944, 1863, 1954, -1,
 944, 1954, 1201, -1, 1201, 1954, 2079, -1, 1201, 2079, 1850, -1,
 1850, 2079, 2163, -1, 1204, 1316, 1422, -1, 1422, 1316, 1429, -1,
 1422, 1429, 1679, -1, 1679, 1429, 1509, -1, 1679, 1509, 1588, -1,
 3515, 3728, 4079, -1, 4079, 3728, 3841, -1, 4079, 3841, 3882, -1,
 3347, 3307, 3042, -1, 3042, 3307, 3289, -1, 3042, 3289, 2940, -1,
 2940, 3289, 3308, -1, 490, 865, 457, -1, 457, 865, 1119, -1,
 457, 1119, 496, -1, 496, 1119, 576, -1, 2605, 2438, 2163, -1,
 2633, 2803, 2738, -1, 2738, 2803, 3050, -1, 2738, 3050, 2816, -1,
 2816, 3050, 3752, -1, 2816, 3752, 2939, -1, 2939, 3752, 4009, -1,
 2939, 4009, 3041, -1, 3041, 4009, 4089, -1, 3041, 4089, 3251, -1,
 3251, 4089, 4137, -1, 3251, 4137, 3514, -1, 3514, 4137, 4195, -1,
 3514, 4195, 3727, -1, 3727, 4195, 4299, -1, 3727, 4299, 3840, -1,
 3840, 4299, 4369, -1, 3840, 4369, 3881, -1, 3881, 4369, 4453, -1,
 3881, 4453, 3891, -1, 3891, 4453, 4493, -1, 3891, 4493, 4459, -1,
 3957, 3825, 4079, -1, 4079, 3825, 3748, -1, 4079, 3748, 3515, -1,
 3515, 3748, 3624, -1, 3515, 3624, 3511, -1, 2605, 2163, 2733, -1,
 2733, 2163, 2249, -1, 2733, 2249, 2356, -1, 3484, 2733, 3430, -1,
 3430, 2733, 2652, -1, 3430, 2652, 3348, -1, 3348, 2652, 2739, -1,
 3348, 2739, 3308, -1, 3308, 2739, 2817, -1, 3308, 2817, 2940, -1,
 2438, 2271, 2163, -1, 2163, 2271, 2094, -1, 2163, 2094, 1850, -1,
 1588, 1627, 1862, -1, 1862, 1627, 1642, -1, 1862, 1642, 1953, -1,
 1953, 1642, 1626, -1, 1953, 1626, 2078, -1, 2078, 1626, 1587, -1,
 2356, 2448, 2733, -1, 2733, 2448, 2548, -1, 2733, 2548, 2652, -1,
 2476, 2738, 2171, -1, 2171, 2738, 2651, -1, 2171, 2651, 2547, -1,
 2547, 2447, 2171, -1, 2171, 2447, 2355, -1, 2171, 2355, 2248, -1,
 1456, 2171, 1508, -1, 1508, 2171, 2248, -1, 1508, 2248, 1587, -1,
 1587, 2248, 2162, -1, 1587, 2162, 2078, -1, 3809, 3821, 3823, -1,
 3823, 3821, 3837, -1, 3823, 3837, 3839, -1, 3839, 3837, 3848, -1,
 3839, 3848, 3849, -1, 3849, 3848, 3836, -1, 3849, 3836, 3838, -1,
 3838, 3836, 3820, -1, 3838, 3820, 3822, -1, 3822, 3820, 3806, -1,
 3822, 3806, 3808, -1, 3808, 3806, 3776, -1, 3808, 3776, 3778, -1,
 3778, 3776, 3721, -1, 3778, 3721, 3723, -1, 3723, 3721, 3642, -1,
 3723, 3642, 3645, -1, 3645, 3642, 3579, -1, 3645, 3579, 3581, -1,
 3581, 3579, 3532, -1, 3581, 3532, 3534, -1, 3534, 3532, 3486, -1,
 3534, 3486, 3488, -1, 3488, 3486, 3452, -1, 3488, 3452, 3454, -1,
 3454, 3452, 3436, -1, 3454, 3436, 3438, -1, 3438, 3436, 3423, -1,
 3438, 3423, 3424, -1, 3424, 3423, 3437, -1, 3424, 3437, 3439, -1,
 3439, 3437, 3453, -1, 3439, 3453, 3455, -1, 3455, 3453, 3487, -1,
 3455, 3487, 3489, -1, 3489, 3487, 3533, -1, 3489, 3533, 3535, -1,
 3535, 3533, 3580, -1, 3535, 3580, 3582, -1, 3582, 3580, 3644, -1,
 3582, 3644, 3646, -1, 3646, 3644, 3722, -1, 3646, 3722, 3724, -1,
 3724, 3722, 3777, -1, 3724, 3777, 3779, -1, 3779, 3777, 3807, -1,
 3779, 3807, 3809, -1, 3809, 3807, 3821, -1, 3436, 3452, 3643, -1,
 3643, 3452, 3486, -1, 3643, 3486, 3532, -1, 3453, 3437, 3643, -1,
 3643, 3437, 3423, -1, 3643, 3423, 3436, -1, 3580, 3533, 3643, -1,
 3643, 3533, 3487, -1, 3643, 3487, 3453, -1, 3777, 3722, 3643, -1,
 3643, 3722, 3644, -1, 3643, 3644, 3580, -1, 3837, 3821, 3643, -1,
 3643, 3821, 3807, -1, 3643, 3807, 3777, -1, 3820, 3836, 3643, -1,
 3643, 3836, 3848, -1, 3643, 3848, 3837, -1, 3721, 3776, 3643, -1,
 3643, 3776, 3806, -1, 3643, 3806, 3820, -1, 3532, 3579, 3643, -1,
 3643, 3579, 3642, -1, 3643, 3642, 3721, -1, 4304, 4315, 4317, -1,
 4317, 4315, 4320, -1, 4317, 4320, 4322, -1, 4322, 4320, 4325, -1,
 4322, 4325, 4326, -1, 4326, 4325, 4319, -1, 4326, 4319, 4321, -1,
 4321, 4319, 4314, -1, 4321, 4314, 4316, -1, 4316, 4314, 4301, -1,
 4316, 4301, 4303, -1, 4303, 4301, 4287, -1, 4303, 4287, 4289, -1,
 4289, 4287, 4275, -1, 4289, 4275, 4277, -1, 4277, 4275, 4259, -1,
 4277, 4259, 4262, -1, 4262, 4259, 4247, -1, 4262, 4247, 4249, -1,
 4249, 4247, 4237, -1, 4249, 4237, 4239, -1, 4239, 4237, 4218, -1,
 4239, 4218, 4220, -1, 4220, 4218, 4206, -1, 4220, 4206, 4208, -1,
 4208, 4206, 4198, -1, 4208, 4198, 4200, -1, 4200, 4198, 4193, -1,
 4200, 4193, 4194, -1, 4194, 4193, 4199, -1, 4194, 4199, 4201, -1,
 4201, 4199, 4207, -1, 4201, 4207, 4209, -1, 4209, 4207, 4219, -1,
 4209, 4219, 4221, -1, 4221, 4219, 4238, -1, 4221, 4238, 4240, -1,
 4240, 4238, 4248, -1, 4240, 4248, 4250, -1, 4250, 4248, 4261, -1,
 4250, 4261, 4263, -1, 4263, 4261, 4276, -1, 4263, 4276, 4278, -1,
 4278, 4276, 4288, -1, 4278, 4288, 4290, -1, 4290, 4288, 4302, -1,
 4290, 4302, 4304, -1, 4304, 4302, 4315, -1, 4198, 4206, 4260, -1,
 4260, 4206, 4218, -1, 4260, 4218, 4237, -1, 4207, 4199, 4260, -1,
 4260, 4199, 4193, -1, 4260, 4193, 4198, -1, 4248, 4238, 4260, -1,
 4260, 4238, 4219, -1, 4260, 4219, 4207, -1, 4288, 4276, 4260, -1,
 4260, 4276, 4261, -1, 4260, 4261, 4248, -1, 4320, 4315, 4260, -1,
 4260, 4315, 4302, -1, 4260, 4302, 4288, -1, 4314, 4319, 4260, -1,
 4260, 4319, 4325, -1, 4260, 4325, 4320, -1, 4275, 4287, 4260, -1,
 4260, 4287, 4301, -1, 4260, 4301, 4314, -1, 4237, 4247, 4260, -1,
 4260, 4247, 4259, -1, 4260, 4259, 4275, -1, 3585, 3467, 3508, -1,
 3508, 3467, 3485, -1, 4378, 3963, 3972, -1, 4406, 4378, 4050, -1,
 4050, 4378, 3972, -1, 4050, 3972, 4042, -1, 3972, 3988, 4042, -1,
 4042, 3988, 4002, -1, 4042, 4002, 4034, -1, 4034, 4002, 4014, -1,
 4406, 4439, 4378, -1, 4378, 4439, 4379, -1, 4486, 4380, 4477, -1,
 4477, 4380, 4379, -1, 4477, 4379, 4448, -1, 4448, 4379, 4439, -1,
 4486, 4494, 4380, -1, 4380, 4494, 4505, -1, 4380, 4505, 4381, -1,
 4426, 4506, 4508, -1, 4508, 4507, 4426, -1, 4426, 4507, 4504, -1,
 4426, 4504, 4503, -1, 4503, 4490, 4473, -1, 4473, 4490, 4481, -1,
 4473, 4481, 4455, -1, 4425, 4424, 4387, -1, 4505, 4506, 4381, -1,
 4381, 4506, 4426, -1, 4381, 4426, 4383, -1, 4383, 4426, 4503, -1,
 4383, 4503, 4387, -1, 4387, 4503, 4473, -1, 4387, 4473, 4425, -1,
 4425, 4473, 4455, -1, 3620, 4174, 4158, -1, 3416, 3417, 3620, -1,
 3416, 3620, 3419, -1, 3467, 3585, 3458, -1, 3458, 3585, 3620, -1,
 3458, 3620, 3420, -1, 3420, 3620, 3417, -1, 4158, 3539, 3620, -1,
 3620, 3539, 3496, -1, 3620, 3496, 3472, -1, 3472, 3448, 3620, -1,
 3620, 3448, 3433, -1, 3620, 3433, 3419, -1, 4158, 4174, 4233, -1,
 4158, 4233, 4185, -1, 4185, 4233, 4272, -1, 4185, 4272, 4228, -1,
 4228, 4272, 4310, -1, 4228, 4310, 4254, -1, 4254, 4310, 4256, -1,
 4256, 4310, 4603, -1, 4256, 4603, 4542, -1, 4577, 4576, 4605, -1,
 4542, 4603, 4557, -1, 4557, 4603, 4604, -1, 4557, 4604, 4562, -1,
 4605, 4576, 4604, -1, 4604, 4576, 4567, -1, 4604, 4567, 4562, -1,
 4584, 4581, 4605, -1, 4605, 4581, 4580, -1, 4605, 4580, 4577, -1,
 4607, 4609, 4608, -1, 4608, 4600, 4607, -1, 4607, 4600, 4599, -1,
 4607, 4599, 4596, -1, 4605, 4606, 4584, -1, 4584, 4606, 4607, -1,
 4584, 4607, 4595, -1, 4595, 4607, 4596, -1, 4610, 4608, 4609, -1,
 4618, 4619, 4609, -1, 4609, 4619, 4617, -1, 4609, 4617, 4610, -1,
 2911, 2945, 2888, -1, 2607, 3038, 3305, -1, 2888, 2945, 2851, -1,
 2851, 2945, 2820, -1, 2607, 2791, 3038, -1, 3038, 2791, 2820, -1,
 3038, 2820, 2955, -1, 2955, 2820, 2945, -1, 3305, 3633, 2607, -1,
 2607, 3633, 3868, -1, 2607, 3868, 4005, -1, 3868, 3947, 4005, -1,
 4005, 3947, 3996, -1, 4005, 3996, 4011, -1, 4011, 4015, 4005, -1,
 4005, 4015, 4018, -1, 4005, 4018, 4021, -1, 4027, 4025, 4005, -1,
 4005, 4025, 4022, -1, 4005, 4022, 4016, -1, 4016, 4022, 4019, -1,
 4021, 4023, 4005, -1, 4005, 4023, 4026, -1, 4005, 4026, 4028, -1,
 4028, 4030, 4005, -1, 4005, 4030, 4029, -1, 4005, 4029, 4027, -1,
 2305, 2304, 2106, -1, 2106, 2304, 2302, -1, 2106, 2302, 2301, -1,
 2344, 2328, 2300, -1, 2300, 2328, 2325, -1, 2300, 2325, 2319, -1,
 2312, 2311, 2300, -1, 2300, 2311, 2310, -1, 2300, 2310, 2106, -1,
 2106, 2310, 2309, -1, 2106, 2309, 2305, -1, 2319, 2316, 2300, -1,
 2300, 2316, 2315, -1, 2300, 2315, 2312, -1, 2297, 2105, 2298, -1,
 2298, 2105, 2106, -1, 2298, 2106, 2299, -1, 2299, 2106, 2301, -1,
 2011, 2057, 2056, -1, 2056, 2057, 2105, -1, 2105, 2057, 2077, -1,
 2105, 2077, 2106, -1, 1920, 1921, 1986, -1, 1986, 1921, 1927, -1,
 2011, 2056, 1987, -1, 1987, 2056, 1986, -1, 1987, 1986, 1950, -1,
 1950, 1986, 1927, -1, 1950, 1927, 1940, -1, 632, 631, 672, -1,
 632, 672, 673, -1, 673, 672, 711, -1, 673, 711, 712, -1,
 712, 711, 756, -1, 712, 756, 757, -1, 1315, 1317, 756, -1,
 756, 1317, 757, -1, 1386, 1427, 1429, -1, 1428, 1455, 1456, -1,
 1317, 1315, 1410, -1, 1410, 1315, 1428, -1, 1410, 1428, 1426, -1,
 1426, 1428, 1456, -1, 1426, 1456, 1490, -1, 1490, 1456, 1508, -1,
 1490, 1508, 1503, -1, 1503, 1508, 1571, -1, 1571, 1508, 1587, -1,
 1571, 1587, 1584, -1, 1584, 1587, 1611, -1, 1611, 1587, 1626, -1,
 1611, 1626, 1622, -1, 1642, 1637, 1635, -1, 1642, 1635, 1626, -1,
 1626, 1635, 1634, -1, 1626, 1634, 1622, -1, 1627, 1625, 1636, -1,
 1636, 1640, 1627, -1, 1627, 1640, 1643, -1, 1627, 1643, 1642, -1,
 1642, 1643, 1641, -1, 1642, 1641, 1637, -1, 1625, 1627, 1623, -1,
 1623, 1627, 1588, -1, 1623, 1588, 1604, -1, 1493, 1507, 1509, -1,
 1509, 1507, 1516, -1, 1516, 1536, 1509, -1, 1509, 1536, 1543, -1,
 1509, 1543, 1550, -1, 1550, 1553, 1509, -1, 1509, 1553, 1562, -1,
 1509, 1562, 1569, -1, 1569, 1574, 1509, -1, 1509, 1574, 1585, -1,
 1509, 1585, 1588, -1, 1588, 1585, 1586, -1, 1588, 1586, 1604, -1,
 1429, 1427, 1509, -1, 1509, 1427, 1447, -1, 1509, 1447, 1493, -1,
 1282, 1312, 1316, -1, 1316, 1312, 1314, -1, 1316, 1314, 1429, -1,
 1429, 1314, 1364, -1, 1429, 1364, 1386, -1, 1204, 1205, 1232, -1,
 1204, 1232, 1316, -1, 1316, 1232, 1261, -1, 1316, 1261, 1282, -1,
 1205, 1204, 1173, -1, 1173, 1204, 1135, -1, 1173, 1135, 1136, -1,
 742, 747, 834, -1, 419, 1776, 834, -1, 1501, 1514, 2123, -1,
 2027, 2036, 2222, -1, 1514, 1500, 2123, -1, 2123, 1500, 1486, -1,
 2123, 1486, 2222, -1, 2005, 2027, 1407, -1, 1407, 2027, 2222, -1,
 1407, 2222, 1452, -1, 1452, 2222, 1486, -1, 1501, 2123, 1487, -1,
 1487, 2123, 1613, -1, 1487, 1613, 1453, -1, 1140, 834, 1156, -1,
 1156, 834, 1187, -1, 1140, 1124, 834, -1, 834, 1124, 1113, -1,
 834, 1113, 1125, -1, 1227, 1298, 1613, -1, 2036, 2039, 2222, -1,
 2222, 2039, 2035, -1, 2222, 2035, 2053, -1, 1814, 834, 1833, -1,
 1833, 834, 1776, -1, 1833, 1776, 1847, -1, 1914, 1898, 1776, -1,
 1776, 1898, 1879, -1, 1776, 1879, 1847, -1, 1815, 1834, 1297, -1,
 1297, 1834, 1848, -1, 1297, 1848, 1880, -1, 1125, 1141, 834, -1,
 834, 1141, 1157, -1, 834, 1157, 1613, -1, 1613, 1157, 1188, -1,
 1613, 1188, 1227, -1, 1298, 1355, 1613, -1, 1613, 1355, 1408, -1,
 1613, 1408, 1453, -1, 2035, 2026, 2053, -1, 2053, 2026, 2004, -1,
 2053, 2004, 2010, -1, 2010, 2004, 1979, -1, 2010, 1979, 1958, -1,
 1958, 1979, 1946, -1, 1958, 1946, 1914, -1, 1914, 1946, 1934, -1,
 1914, 1934, 1898, -1, 1187, 834, 1226, -1, 1226, 834, 1814, -1,
 1226, 1814, 1297, -1, 1297, 1814, 1803, -1, 1297, 1803, 1815, -1,
 1407, 1899, 1935, -1, 1899, 1407, 1880, -1, 1880, 1407, 1354, -1,
 1880, 1354, 1297, -1, 1935, 1947, 1407, -1, 1407, 1947, 1980, -1,
 1407, 1980, 2005, -1, 518, 531, 834, -1, 834, 531, 517, -1,
 834, 517, 484, -1, 484, 451, 834, -1, 834, 451, 410, -1,
 834, 410, 419, -1, 451, 437, 410, -1, 410, 437, 415, -1,
 410, 415, 408, -1, 408, 415, 403, -1, 408, 403, 370, -1,
 370, 403, 378, -1, 370, 378, 335, -1, 335, 378, 361, -1,
 335, 361, 308, -1, 834, 725, 707, -1, 661, 671, 691, -1,
 691, 671, 688, -1, 691, 688, 699, -1, 747, 741, 834, -1,
 834, 741, 736, -1, 834, 736, 725, -1, 361, 326, 308, -1,
 308, 326, 316, -1, 308, 316, 284, -1, 284, 316, 304, -1,
 284, 304, 273, -1, 273, 304, 298, -1, 273, 298, 267, -1,
 267, 298, 305, -1, 267, 305, 279, -1, 279, 305, 317, -1,
 279, 317, 292, -1, 407, 626, 630, -1, 699, 708, 691, -1,
 691, 708, 726, -1, 691, 726, 834, -1, 834, 726, 737, -1,
 834, 737, 742, -1, 407, 630, 691, -1, 691, 630, 644, -1,
 691, 644, 661, -1, 698, 438, 707, -1, 707, 438, 452, -1,
 707, 452, 834, -1, 834, 452, 485, -1, 834, 485, 518, -1,
 643, 629, 407, -1, 629, 625, 407, -1, 407, 625, 621, -1,
 407, 621, 626, -1, 317, 327, 292, -1, 292, 327, 362, -1,
 292, 362, 392, -1, 392, 362, 379, -1, 392, 379, 404, -1,
 407, 392, 643, -1, 643, 392, 404, -1, 643, 404, 660, -1,
 660, 404, 416, -1, 660, 416, 670, -1, 670, 416, 438, -1,
 670, 438, 687, -1, 687, 438, 698, -1, 884, 889, 1399, -1,
 1399, 889, 895, -1, 1399, 895, 1613, -1, 1613, 895, 901, -1,
 828, 832, 770, -1, 883, 873, 834, -1, 834, 873, 849, -1,
 901, 908, 1613, -1, 1613, 908, 910, -1, 1613, 910, 907, -1,
 907, 900, 1613, -1, 1613, 900, 894, -1, 1613, 894, 834, -1,
 834, 894, 888, -1, 834, 888, 883, -1, 827, 691, 831, -1,
 831, 691, 834, -1, 831, 834, 837, -1, 837, 834, 849, -1,
 832, 838, 770, -1, 770, 838, 850, -1, 770, 850, 1399, -1,
 1399, 850, 874, -1, 1399, 874, 884, -1, 827, 820, 691, -1,
 691, 820, 817, -1, 691, 817, 821, -1, 770, 752, 828, -1,
 828, 752, 718, -1, 828, 718, 821, -1, 821, 718, 693, -1,
 821, 693, 691, -1, 425, 426, 1920, -1, 1920, 426, 1921, -1,
 426, 425, 383, -1, 426, 383, 384, -1, 384, 383, 333, -1,
 384, 333, 334, -1, 334, 333, 282, -1, 334, 282, 283, -1,
 283, 282, 194, -1, 283, 194, 195, -1, 195, 194, 108, -1,
 195, 108, 109, -1, 109, 108, 60, -1, 109, 60, 61, -1,
 61, 60, 46, -1, 61, 46, 47, -1, 47, 46, 86, -1,
 47, 86, 87, -1, 87, 86, 143, -1, 87, 143, 144, -1,
 631, 632, 143, -1, 143, 632, 144, -1, 1136, 1135, 999, -1,
 998, 271, 999, -1, 999, 271, 272, -1, 999, 272, 1136, -1,
 272, 271, 237, -1, 272, 237, 238, -1, 238, 237, 156, -1,
 238, 156, 157, -1, 157, 156, 103, -1, 157, 103, 104, -1,
 104, 103, 56, -1, 104, 56, 58, -1, 58, 56, 28, -1,
 58, 28, 29, -1, 29, 28, 12, -1, 29, 12, 13, -1,
 13, 12, 0, -1, 13, 0, 2, -1, 1, 3, 0, -1,
 0, 3, 2, -1, 3, 1, 4, -1, 3, 4, 5, -1,
 5, 4, 18, -1, 5, 18, 19, -1, 19, 18, 36, -1,
 19, 36, 37, -1, 37, 36, 57, -1, 37, 57, 59, -1,
 491, 59, 490, -1, 490, 59, 57, -1, 490, 57, 489, -1,
 318, 306, 205, -1, 532, 519, 896, -1, 896, 519, 486, -1,
 896, 486, 541, -1, 541, 486, 453, -1, 541, 453, 509, -1,
 532, 896, 520, -1, 520, 896, 833, -1, 520, 833, 487, -1,
 405, 245, 417, -1, 417, 245, 509, -1, 417, 509, 439, -1,
 439, 509, 453, -1, 205, 306, 206, -1, 213, 307, 219, -1,
 219, 307, 319, -1, 219, 319, 222, -1, 306, 299, 206, -1,
 206, 299, 307, -1, 206, 307, 209, -1, 209, 307, 213, -1,
 319, 329, 222, -1, 222, 329, 364, -1, 222, 364, 545, -1,
 545, 364, 381, -1, 545, 381, 406, -1, 217, 221, 328, -1,
 328, 221, 227, -1, 406, 418, 545, -1, 545, 418, 440, -1,
 545, 440, 833, -1, 833, 440, 454, -1, 833, 454, 487, -1,
 318, 205, 328, -1, 328, 205, 211, -1, 328, 211, 217, -1,
 405, 380, 245, -1, 245, 380, 363, -1, 245, 363, 231, -1,
 231, 363, 328, -1, 231, 328, 229, -1, 229, 328, 227, -1,
 2297, 2298, 2170, -1, 2170, 2298, 2171, -1, 2170, 2171, 1455, -1,
 1455, 2171, 1456, -1, 998, 999, 864, -1, 864, 999, 865, -1,
 864, 865, 489, -1, 489, 865, 490, -1, 1156, 1138, 1140, -1,
 1140, 1138, 1122, -1, 1140, 1122, 1124, -1, 1124, 1122, 1112, -1,
 1124, 1112, 1113, -1, 1113, 1112, 1123, -1, 1113, 1123, 1125, -1,
 1125, 1123, 1139, -1, 1125, 1139, 1141, -1, 1141, 1139, 1155, -1,
 1141, 1155, 1157, -1, 1157, 1155, 1186, -1, 1157, 1186, 1188, -1,
 1188, 1186, 1225, -1, 1188, 1225, 1227, -1, 1227, 1225, 1296, -1,
 1227, 1296, 1298, -1, 1298, 1296, 1353, -1, 1298, 1353, 1355, -1,
 1355, 1353, 1406, -1, 1355, 1406, 1408, -1, 1408, 1406, 1451, -1,
 1408, 1451, 1453, -1, 1453, 1451, 1485, -1, 1453, 1485, 1487, -1,
 1487, 1485, 1499, -1, 1487, 1499, 1501, -1, 1501, 1499, 1513, -1,
 1501, 1513, 1514, -1, 1514, 1513, 1498, -1, 1514, 1498, 1500, -1,
 1500, 1498, 1484, -1, 1500, 1484, 1486, -1, 1486, 1484, 1450, -1,
 1486, 1450, 1452, -1, 1452, 1450, 1405, -1, 1452, 1405, 1407, -1,
 1407, 1405, 1352, -1, 1407, 1352, 1354, -1, 1354, 1352, 1294, -1,
 1354, 1294, 1297, -1, 1297, 1294, 1224, -1, 1297, 1224, 1226, -1,
 1226, 1224, 1185, -1, 1226, 1185, 1187, -1, 1187, 1185, 1154, -1,
 1187, 1154, 1156, -1, 1156, 1154, 1138, -1, 1499, 1485, 1295, -1,
 1295, 1485, 1451, -1, 1295, 1451, 1406, -1, 1484, 1498, 1295, -1,
 1295, 1498, 1513, -1, 1295, 1513, 1499, -1, 1352, 1405, 1295, -1,
 1295, 1405, 1450, -1, 1295, 1450, 1484, -1, 1185, 1224, 1295, -1,
 1295, 1224, 1294, -1, 1295, 1294, 1352, -1, 1122, 1138, 1295, -1,
 1295, 1138, 1154, -1, 1295, 1154, 1185, -1, 1139, 1123, 1295, -1,
 1295, 1123, 1112, -1, 1295, 1112, 1122, -1, 1225, 1186, 1295, -1,
 1295, 1186, 1155, -1, 1295, 1155, 1139, -1, 1406, 1353, 1295, -1,
 1295, 1353, 1296, -1, 1295, 1296, 1225, -1, 643, 627, 629, -1,
 629, 627, 623, -1, 629, 623, 625, -1, 625, 623, 620, -1,
 625, 620, 621, -1, 621, 620, 624, -1, 621, 624, 626, -1,
 626, 624, 628, -1, 626, 628, 630, -1, 630, 628, 642, -1,
 630, 642, 644, -1, 644, 642, 659, -1, 644, 659, 661, -1,
 661, 659, 669, -1, 661, 669, 671, -1, 671, 669, 686, -1,
 671, 686, 688, -1, 688, 686, 697, -1, 688, 697, 699, -1,
 699, 697, 706, -1, 699, 706, 708, -1, 708, 706, 724, -1,
 708, 724, 726, -1, 726, 724, 735, -1, 726, 735, 737, -1,
 737, 735, 740, -1, 737, 740, 742, -1, 742, 740, 746, -1,
 742, 746, 747, -1, 747, 746, 739, -1, 747, 739, 741, -1,
 741, 739, 734, -1, 741, 734, 736, -1, 736, 734, 723, -1,
 736, 723, 725, -1, 725, 723, 705, -1, 725, 705, 707, -1,
 707, 705, 696, -1, 707, 696, 698, -1, 698, 696, 684, -1,
 698, 684, 687, -1, 687, 684, 668, -1, 687, 668, 670, -1,
 670, 668, 658, -1, 670, 658, 660, -1, 660, 658, 641, -1,
 660, 641, 643, -1, 643, 641, 627, -1, 740, 735, 685, -1,
 685, 735, 724, -1, 685, 724, 706, -1, 734, 739, 685, -1,
 685, 739, 746, -1, 685, 746, 740, -1, 696, 705, 685, -1,
 685, 705, 723, -1, 685, 723, 734, -1, 658, 668, 685, -1,
 685, 668, 684, -1, 685, 684, 696, -1, 623, 627, 685, -1,
 685, 627, 641, -1, 685, 641, 658, -1, 628, 624, 685, -1,
 685, 624, 620, -1, 685, 620, 623, -1, 669, 659, 685, -1,
 685, 659, 642, -1, 685, 642, 628, -1, 706, 697, 685, -1,
 685, 697, 686, -1, 685, 686, 669, -1, 1349, 1471, 1432, -1,
 1432, 1471, 1454, -1, 567, 992, 983, -1, 541, 567, 896, -1,
 896, 567, 983, -1, 896, 983, 904, -1, 983, 967, 904, -1,
 904, 967, 953, -1, 904, 953, 914, -1, 914, 953, 938, -1,
 541, 509, 567, -1, 567, 509, 566, -1, 464, 565, 471, -1,
 471, 565, 566, -1, 471, 566, 500, -1, 500, 566, 509, -1,
 464, 455, 565, -1, 565, 455, 444, -1, 565, 444, 563, -1,
 521, 443, 441, -1, 441, 442, 521, -1, 521, 442, 445, -1,
 521, 445, 446, -1, 446, 460, 474, -1, 474, 460, 468, -1,
 474, 468, 494, -1, 522, 525, 559, -1, 444, 443, 563, -1,
 563, 443, 521, -1, 563, 521, 561, -1, 561, 521, 446, -1,
 561, 446, 559, -1, 559, 446, 474, -1, 559, 474, 522, -1,
 522, 474, 494, -1, 1320, 758, 770, -1, 1520, 1519, 1320, -1,
 1520, 1320, 1518, -1, 1471, 1349, 1481, -1, 1481, 1349, 1320, -1,
 1481, 1320, 1517, -1, 1517, 1320, 1519, -1, 770, 1399, 1320, -1,
 1320, 1399, 1445, -1, 1320, 1445, 1468, -1, 1468, 1491, 1320, -1,
 1320, 1491, 1504, -1, 1320, 1504, 1518, -1, 770, 758, 714, -1,
 770, 714, 752, -1, 752, 714, 674, -1, 752, 674, 718, -1,
 718, 674, 635, -1, 718, 635, 693, -1, 693, 635, 691, -1,
 691, 635, 346, -1, 691, 346, 407, -1, 372, 373, 344, -1,
 407, 346, 392, -1, 392, 346, 345, -1, 392, 345, 387, -1,
 344, 373, 345, -1, 345, 373, 382, -1, 345, 382, 387, -1,
 365, 368, 344, -1, 344, 368, 369, -1, 344, 369, 372, -1,
 342, 341, 340, -1, 340, 349, 342, -1, 342, 349, 350, -1,
 342, 350, 353, -1, 344, 343, 365, -1, 365, 343, 342, -1,
 365, 342, 354, -1, 354, 342, 353, -1, 339, 340, 341, -1,
 331, 330, 341, -1, 341, 330, 332, -1, 341, 332, 339, -1,
 1987, 1950, 2011, -1, 2300, 1868, 1630, -1, 2011, 1950, 2057, -1,
 2057, 1950, 2077, -1, 2300, 2106, 1868, -1, 1868, 2106, 2077, -1,
 1868, 2077, 1940, -1, 1940, 2077, 1950, -1, 1630, 1307, 2300, -1,
 2300, 1307, 1095, -1, 2300, 1095, 949, -1, 1095, 1008, 949, -1,
 949, 1008, 959, -1, 949, 959, 942, -1, 942, 937, 949, -1,
 949, 937, 933, -1, 949, 933, 929, -1, 924, 926, 949, -1,
 949, 926, 928, -1, 949, 928, 935, -1, 935, 928, 932, -1,
 929, 927, 949, -1, 949, 927, 925, -1, 949, 925, 923, -1,
 923, 921, 949, -1, 949, 921, 922, -1, 949, 922, 924, -1,
 2938, 3005, 3006, -1, 1967, 1957, 1930, -1, 1930, 1957, 1860, -1,
 1930, 1860, 1805, -1, 1805, 1860, 1837, -1, 2242, 2161, 2128, -1,
 2128, 2161, 2129, -1, 2128, 2129, 2049, -1, 2049, 2129, 2082, -1,
 2049, 2082, 1967, -1, 1967, 2082, 1965, -1, 1967, 1965, 1957, -1,
 2128, 2143, 2242, -1, 2242, 2143, 2231, -1, 2242, 2231, 2254, -1,
 2254, 2231, 2255, -1, 2254, 2255, 2354, -1, 2354, 2255, 2347, -1,
 2354, 2347, 2413, -1, 2413, 2347, 2414, -1, 2413, 2414, 2437, -1,
 2414, 2421, 2437, -1, 2437, 2421, 2507, -1, 2437, 2507, 2515, -1,
 2515, 2507, 2514, -1, 2515, 2514, 2516, -1, 2516, 2514, 2596, -1,
 2913, 2804, 2793, -1, 2793, 2804, 2792, -1, 2793, 2792, 2704, -1,
 2704, 2792, 2718, -1, 2704, 2718, 2675, -1, 2675, 2718, 2674, -1,
 2675, 2674, 2596, -1, 2596, 2674, 2625, -1, 2596, 2625, 2516, -1,
 3929, 3934, 3948, -1, 3948, 3934, 3950, -1, 3948, 3950, 3943, -1,
 3943, 3950, 3946, -1, 3943, 3946, 3939, -1, 3939, 3946, 3936, -1,
 3939, 3936, 3919, -1, 3919, 3936, 3917, -1, 3919, 3917, 3916, -1,
 3916, 3917, 3910, -1, 3916, 3910, 3876, -1, 3876, 3910, 3870, -1,
 3876, 3870, 3858, -1, 3858, 3870, 3861, -1, 3858, 3861, 3781, -1,
 3781, 3861, 3762, -1, 3781, 3762, 3590, -1, 3590, 3762, 3589, -1,
 3590, 3589, 3527, -1, 3527, 3589, 3505, -1, 3527, 3505, 3214, -1,
 3214, 3505, 3202, -1, 3214, 3202, 3169, -1, 3169, 3202, 3170, -1,
 3169, 3170, 3029, -1, 3029, 3170, 3028, -1, 3029, 3028, 2958, -1,
 2958, 3028, 2959, -1, 2958, 2959, 2913, -1, 2913, 2959, 2921, -1,
 2913, 2921, 2804, -1, 3685, 3736, 3835, -1, 3835, 3736, 3864, -1,
 3835, 3864, 3878, -1, 3878, 3864, 3879, -1, 3878, 3879, 3897, -1,
 3897, 3879, 3907, -1, 3897, 3907, 3929, -1, 3929, 3907, 3928, -1,
 3929, 3928, 3934, -1, 3554, 3596, 3301, -1, 3301, 3304, 3329, -1,
 3329, 3341, 3301, -1, 3301, 3341, 3376, -1, 3301, 3376, 3402, -1,
 3509, 3554, 3503, -1, 3503, 3554, 3301, -1, 3503, 3301, 3465, -1,
 3465, 3301, 3402, -1, 3650, 3690, 3685, -1, 3685, 3690, 3692, -1,
 3685, 3692, 3736, -1, 3596, 3637, 3301, -1, 3301, 3637, 3690, -1,
 3301, 3690, 3385, -1, 3385, 3690, 3650, -1, 3006, 3005, 3112, -1,
 3112, 3005, 3045, -1, 3112, 3045, 3301, -1, 3301, 3045, 3060, -1,
 3301, 3060, 3110, -1, 3110, 3141, 3301, -1, 3301, 3141, 3166, -1,
 3301, 3166, 3220, -1, 3220, 3229, 3301, -1, 3301, 3229, 3270, -1,
 3301, 3270, 3304, -1, 3006, 2967, 2938, -1, 2938, 2967, 2858, -1,
 2938, 2858, 2839, -1, 2839, 2858, 2841, -1, 2839, 2841, 2815, -1,
 2815, 2841, 2757, -1, 2484, 2551, 2560, -1, 2560, 2551, 2559, -1,
 2560, 2559, 2669, -1, 2669, 2559, 2660, -1, 2669, 2660, 2687, -1,
 2687, 2660, 2688, -1, 2687, 2688, 2757, -1, 2757, 2688, 2742, -1,
 2757, 2742, 2815, -1, 1182, 1195, 1411, -1, 1411, 1195, 1434, -1,
 1411, 1434, 1522, -1, 1522, 1434, 1521, -1, 1522, 1521, 1713, -1,
 1713, 1521, 1724, -1, 1713, 1724, 1859, -1, 1859, 1724, 1858, -1,
 1859, 1858, 1875, -1, 1875, 1858, 1876, -1, 1875, 1876, 1984, -1,
 1984, 1876, 1976, -1, 1984, 1976, 2021, -1, 2021, 1976, 2022, -1,
 2021, 2022, 2104, -1, 2104, 2022, 2093, -1, 2104, 2093, 2155, -1,
 2155, 2093, 2154, -1, 2155, 2154, 2209, -1, 2209, 2154, 2189, -1,
 2209, 2189, 2308, -1, 2308, 2189, 2279, -1, 2308, 2279, 2313, -1,
 2313, 2279, 2314, -1, 2313, 2314, 2396, -1, 2396, 2314, 2389, -1,
 2396, 2389, 2422, -1, 2422, 2389, 2423, -1, 2422, 2423, 2484, -1,
 2484, 2423, 2477, -1, 2484, 2477, 2551, -1, 1019, 1020, 1046, -1,
 1046, 1020, 1051, -1, 1046, 1051, 1068, -1, 1068, 1051, 1067, -1,
 1068, 1067, 1088, -1, 1088, 1067, 1093, -1, 1088, 1093, 1182, -1,
 1182, 1093, 1183, -1, 1182, 1183, 1195, -1, 1381, 1341, 1443, -1,
 1430, 1381, 1437, -1, 1437, 1381, 1443, -1, 1437, 1443, 1438, -1,
 1438, 1443, 1474, -1, 1046, 1021, 1019, -1, 1019, 1021, 1016, -1,
 1019, 1016, 1005, -1, 1005, 1016, 1007, -1, 1005, 1007, 1014, -1,
 1014, 1007, 1013, -1, 1014, 1013, 1023, -1, 1023, 1013, 1028, -1,
 1023, 1028, 1053, -1, 1053, 1028, 1058, -1, 1053, 1058, 1055, -1,
 1055, 1058, 1065, -1, 1055, 1065, 1099, -1, 1099, 1065, 1126, -1,
 1099, 1126, 1146, -1, 1146, 1126, 1145, -1, 1146, 1145, 1214, -1,
 1214, 1145, 1290, -1, 1214, 1290, 1253, -1, 1253, 1290, 1443, -1,
 1253, 1443, 1303, -1, 1303, 1443, 1341, -1, 1837, 1807, 1805, -1,
 1805, 1807, 1806, -1, 1805, 1806, 1552, -1, 1552, 1806, 1780, -1,
 1552, 1780, 1443, -1, 1780, 1758, 1443, -1, 1443, 1758, 1706, -1,
 1443, 1706, 1701, -1, 1701, 1662, 1443, -1, 1443, 1662, 1605, -1,
 1443, 1605, 1594, -1, 1594, 1561, 1443, -1, 1443, 1561, 1535, -1,
 1443, 1535, 1474, -1, 4224, 4223, 4244, -1, 4224, 4244, 4324, -1,
 4244, 4308, 4324, -1, 4324, 4308, 4318, -1, 4324, 4318, 4386, -1,
 4386, 4318, 4358, -1, 4358, 4385, 4386, -1, 4386, 4385, 4407, -1,
 4386, 4407, 4479, -1, 4407, 4478, 4479, -1, 4479, 4478, 4480, -1,
 4479, 4480, 4488, -1, 4488, 4480, 4492, -1, 4492, 4484, 4488, -1,
 4488, 4484, 4476, -1, 4488, 4476, 4415, -1, 4476, 4412, 4415, -1,
 4415, 4412, 4403, -1, 4415, 4403, 4342, -1, 4403, 4352, 4342, -1,
 4342, 4352, 4341, -1, 4342, 4341, 4265, -1, 4265, 4341, 4297, -1,
 4297, 4258, 4265, -1, 4265, 4258, 4230, -1, 4265, 4230, 4157, -1,
 4230, 4156, 4157, -1, 4157, 4156, 4150, -1, 4157, 4150, 4124, -1,
 4124, 4150, 4132, -1, 4132, 4123, 4124, -1, 4124, 4123, 4084, -1,
 4124, 4084, 4052, -1, 4084, 4051, 4052, -1, 4052, 4051, 4032, -1,
 4052, 4032, 3900, -1, 4032, 3915, 3900, -1, 3900, 3915, 3899, -1,
 3900, 3899, 3235, -1, 3235, 3899, 3528, -1, 3528, 3223, 3235, -1,
 3235, 3223, 3040, -1, 3235, 3040, 2873, -1, 3040, 2872, 2873, -1,
 2873, 2872, 2857, -1, 2873, 2857, 2679, -1, 2679, 2857, 2707, -1,
 2707, 2678, 2679, -1, 2679, 2678, 2582, -1, 2679, 2582, 2492, -1,
 2582, 2491, 2492, -1, 2492, 2491, 2440, -1, 2492, 2440, 2317, -1,
 2440, 2327, 2317, -1, 2317, 2327, 2318, -1, 2317, 2318, 2125, -1,
 2125, 2318, 2190, -1, 2190, 2126, 2125, -1, 2125, 2126, 2041, -1,
 2125, 2041, 1888, -1, 2041, 1889, 1888, -1, 1888, 1889, 1852, -1,
 1888, 1852, 1263, -1, 1852, 1384, 1263, -1, 1263, 1384, 1266, -1,
 1263, 1266, 950, -1, 950, 1266, 1036, -1, 1036, 952, 950, -1,
 950, 952, 915, -1, 950, 915, 853, -1, 853, 915, 852, -1,
 853, 852, 792, -1, 792, 852, 800, -1, 800, 793, 792, -1,
 792, 793, 774, -1, 792, 774, 730, -1, 774, 732, 730, -1,
 730, 732, 710, -1, 730, 710, 633, -1, 710, 647, 633, -1,
 633, 647, 634, -1, 633, 634, 564, -1, 564, 634, 593, -1,
 593, 570, 564, -1, 564, 570, 543, -1, 564, 543, 472, -1,
 543, 475, 472, -1, 472, 475, 470, -1, 472, 470, 459, -1,
 459, 470, 456, -1, 456, 463, 459, -1, 459, 463, 469, -1,
 459, 469, 524, -1, 469, 533, 524, -1, 524, 533, 540, -1,
 524, 540, 598, -1, 540, 590, 598, -1, 598, 590, 599, -1,
 598, 599, 677, -1, 677, 599, 640, -1, 640, 680, 677, -1,
 677, 680, 703, -1, 677, 703, 767, -1, 703, 768, 767, -1,
 767, 768, 771, -1, 767, 771, 810, -1, 810, 771, 798, -1,
 798, 812, 810, -1, 810, 812, 844, -1, 810, 844, 890, -1,
 844, 891, 890, -1, 890, 891, 912, -1, 890, 912, 1043, -1,
 912, 1029, 1043, -1, 1043, 1029, 1044, -1, 1043, 1044, 1624, -1,
 1624, 1044, 1366, -1, 1366, 1629, 1624, -1, 1624, 1629, 1842, -1,
 1624, 1842, 1999, -1, 1842, 2001, 1999, -1, 1999, 2001, 2029, -1,
 1999, 2029, 2220, -1, 2029, 2178, 2220, -1, 2220, 2178, 2221, -1,
 2220, 2221, 2411, -1, 2411, 2221, 2320, -1, 2320, 2412, 2411, -1,
 2411, 2412, 2424, -1, 2411, 2424, 2577, -1, 2424, 2570, 2577, -1,
 2577, 2570, 2576, -1, 2577, 2576, 2762, -1, 2762, 2576, 2692, -1,
 2692, 2761, 2762, -1, 2762, 2761, 2847, -1, 2762, 2847, 2994, -1,
 2847, 2993, 2994, -1, 2994, 2993, 3034, -1, 2994, 3034, 3611, -1,
 3611, 3034, 3498, -1, 3611, 3498, 3610, -1, 3730, 3131, 3152, -1,
 4162, 4172, 4152, -1, 4152, 4172, 3248, -1, 2942, 2819, 3071, -1,
 3071, 3061, 2942, -1, 2942, 3061, 3070, -1, 2942, 3070, 3044, -1,
 3070, 3088, 3044, -1, 3044, 3088, 3113, -1, 3044, 3113, 3254, -1,
 3254, 3113, 3131, -1, 3254, 3131, 3517, -1, 3517, 3131, 3730, -1,
 4172, 4183, 3248, -1, 3248, 4183, 4191, -1, 3248, 4191, 4213, -1,
 3771, 3759, 3611, -1, 3611, 3759, 2994, -1, 1043, 1624, 2165, -1,
 4213, 4224, 3248, -1, 3248, 4224, 4324, -1, 3248, 4324, 3178, -1,
 3716, 3744, 3765, -1, 3152, 3178, 3730, -1, 3730, 3178, 4324, -1,
 3730, 4324, 3843, -1, 3843, 4324, 4386, -1, 3843, 4386, 3884, -1,
 3884, 4386, 4479, -1, 3884, 4479, 3892, -1, 3892, 4479, 4488, -1,
 3892, 4488, 3883, -1, 3883, 4488, 4415, -1, 3883, 4415, 3842, -1,
 3842, 4415, 4342, -1, 3842, 4342, 3729, -1, 3729, 4342, 4265, -1,
 3729, 4265, 3516, -1, 3516, 4265, 4157, -1, 3771, 3611, 3765, -1,
 3765, 3611, 3667, -1, 3765, 3667, 3716, -1, 2165, 1624, 2251, -1,
 2251, 1624, 1999, -1, 2251, 1999, 2358, -1, 2358, 1999, 2220, -1,
 2358, 2220, 2474, -1, 2474, 2220, 2411, -1, 2474, 2411, 2550, -1,
 2550, 2411, 2577, -1, 2550, 2577, 2654, -1, 2654, 2577, 2762, -1,
 2654, 2762, 2741, -1, 2741, 2762, 2994, -1, 2741, 2994, 2819, -1,
 2819, 2994, 3759, -1, 2819, 3759, 3071, -1, 2165, 2081, 1043, -1,
 1043, 2081, 1956, -1, 1043, 1956, 890, -1, 890, 1956, 1865, -1,
 890, 1865, 810, -1, 810, 1865, 1682, -1, 810, 1682, 767, -1,
 767, 1682, 1425, -1, 767, 1425, 677, -1, 677, 1425, 1222, -1,
 677, 1222, 598, -1, 598, 1222, 1121, -1, 598, 1121, 524, -1,
 524, 1121, 1084, -1, 524, 1084, 459, -1, 459, 1084, 1074, -1,
 459, 1074, 472, -1, 472, 1074, 1083, -1, 472, 1083, 564, -1,
 564, 1083, 1120, -1, 564, 1120, 633, -1, 633, 1120, 1221, -1,
 633, 1221, 730, -1, 730, 1221, 1424, -1, 730, 1424, 792, -1,
 792, 1424, 1681, -1, 792, 1681, 853, -1, 853, 1681, 1864, -1,
 853, 1864, 950, -1, 950, 1864, 1955, -1, 950, 1955, 1263, -1,
 1263, 1955, 2080, -1, 1263, 2080, 1888, -1, 1888, 2080, 2164, -1,
 1888, 2164, 2125, -1, 2125, 2164, 2250, -1, 2125, 2250, 2317, -1,
 2317, 2250, 2357, -1, 2317, 2357, 2492, -1, 2492, 2357, 2473, -1,
 2492, 2473, 2679, -1, 2679, 2473, 2549, -1, 2679, 2549, 2873, -1,
 2873, 2549, 2653, -1, 2873, 2653, 3235, -1, 3235, 2653, 2740, -1,
 3235, 2740, 3900, -1, 3900, 2740, 2818, -1, 3900, 2818, 4052, -1,
 4052, 2818, 2941, -1, 4052, 2941, 4124, -1, 4124, 2941, 3043, -1,
 4124, 3043, 4157, -1, 4157, 3043, 3253, -1, 4157, 3253, 3516, -1,
 3450, 3599, 4145, -1, 4145, 3599, 3850, -1, 4145, 3850, 4177, -1,
 4177, 3850, 3925, -1, 948, 951, 596, -1, 2631, 2831, 2736, -1,
 2736, 2831, 3007, -1, 2736, 3007, 2830, -1, 2830, 3007, 3410, -1,
 2830, 3410, 2957, -1, 2957, 3410, 3872, -1, 2957, 3872, 3122, -1,
 2340, 2339, 2415, -1, 2415, 2339, 2446, -1, 2415, 2446, 2513, -1,
 2513, 2446, 2572, -1, 2513, 2572, 2631, -1, 2631, 2572, 2684, -1,
 2631, 2684, 2831, -1, 596, 951, 615, -1, 615, 951, 961, -1,
 615, 961, 655, -1, 655, 961, 989, -1, 655, 989, 700, -1,
 3895, 4243, 3966, -1, 3966, 4243, 4285, -1, 3966, 4285, 3994, -1,
 3994, 4285, 4330, -1, 3994, 4330, 4003, -1, 4003, 4330, 4349, -1,
 4003, 4349, 4006, -1, 1885, 1086, 2000, -1, 2000, 1086, 1506, -1,
 2000, 1506, 2124, -1, 2124, 1506, 1890, -1, 2124, 1890, 2223, -1,
 2223, 1890, 2062, -1, 2223, 2062, 2340, -1, 2340, 2062, 2219, -1,
 2340, 2219, 2339, -1, 1111, 791, 1338, -1, 1338, 791, 824, -1,
 1338, 824, 1668, -1, 1668, 824, 885, -1, 1668, 885, 1885, -1,
 1885, 885, 945, -1, 1885, 945, 1086, -1, 4349, 4359, 4006, -1,
 4006, 4359, 4351, -1, 4006, 4351, 3999, -1, 3999, 4351, 4332, -1,
 3999, 4332, 3984, -1, 3984, 4332, 4293, -1, 3984, 4293, 3925, -1,
 3925, 4293, 4246, -1, 3925, 4246, 4177, -1, 596, 588, 948, -1,
 948, 588, 597, -1, 948, 597, 956, -1, 956, 597, 616, -1,
 956, 616, 971, -1, 971, 616, 657, -1, 971, 657, 1033, -1,
 1033, 657, 702, -1, 1033, 702, 1111, -1, 1111, 702, 762, -1,
 1111, 762, 791, -1, 700, 989, 760, -1, 760, 989, 1069, -1,
 760, 1069, 789, -1, 789, 1069, 1193, -1, 789, 1193, 823, -1,
 823, 1193, 1492, -1, 823, 1492, 880, -1, 880, 1492, 1797, -1,
 880, 1797, 943, -1, 3872, 4004, 3122, -1, 3122, 4004, 4061, -1,
 3122, 4061, 3447, -1, 3447, 4061, 4110, -1, 3447, 4110, 3766, -1,
 3766, 4110, 4138, -1, 3766, 4138, 3895, -1, 3895, 4138, 4167, -1,
 3895, 4167, 4243, -1, 943, 1797, 1078, -1, 1078, 1797, 1938, -1,
 1078, 1938, 1489, -1, 1489, 1938, 2069, -1, 1489, 2069, 1887, -1,
 1887, 2069, 2167, -1, 1887, 2167, 2059, -1, 2059, 2167, 2207, -1,
 2207, 2167, 2273, -1, 2207, 2273, 2330, -1, 2330, 2273, 2390, -1,
 2330, 2390, 2430, -1, 2430, 2390, 2490, -1, 2430, 2490, 2558, -1,
 2558, 2490, 2579, -1, 2558, 2579, 2682, -1, 2682, 2579, 2826, -1,
 2826, 2579, 2680, -1, 2826, 2680, 3004, -1, 3004, 2680, 2772, -1,
 3004, 2772, 3369, -1, 3369, 2772, 2898, -1, 3369, 2898, 3734, -1,
 3734, 2898, 3018, -1, 3734, 3018, 3116, -1, 3086, 3090, 3088, -1,
 3111, 3112, 3113, -1, 3247, 3248, 3207, -1, 3207, 3248, 3178, -1,
 3164, 3167, 3178, -1, 3178, 3167, 3177, -1, 3178, 3177, 3207, -1,
 3131, 3137, 3152, -1, 3152, 3137, 3153, -1, 3152, 3153, 3178, -1,
 3178, 3153, 3154, -1, 3178, 3154, 3164, -1, 3112, 3114, 3113, -1,
 3113, 3114, 3124, -1, 3113, 3124, 3131, -1, 3131, 3124, 3132, -1,
 3131, 3132, 3137, -1, 3088, 3090, 3113, -1, 3113, 3090, 3096, -1,
 3113, 3096, 3111, -1, 3064, 3067, 3070, -1, 3070, 3067, 3072, -1,
 3070, 3072, 3088, -1, 3088, 3072, 3085, -1, 3088, 3085, 3086, -1,
 3061, 3071, 3069, -1, 3069, 3068, 3061, -1, 3061, 3068, 3063, -1,
 3061, 3063, 3070, -1, 3070, 3063, 3062, -1, 3070, 3062, 3064, -1,
 3318, 3248, 3300, -1, 3300, 3248, 3247, -1, 3318, 3335, 3248, -1,
 3248, 3335, 3357, -1, 3248, 3357, 3426, -1, 4151, 4152, 4145, -1,
 4145, 4152, 3248, -1, 4145, 3248, 3450, -1, 3450, 3248, 3426, -1,
 3116, 3099, 3071, -1, 3071, 3099, 3098, -1, 3071, 3098, 3095, -1,
 3116, 3071, 3734, -1, 3734, 3071, 3759, -1, 3734, 3759, 3758, -1,
 3095, 3084, 3071, -1, 3071, 3084, 3077, -1, 3071, 3077, 3069, -1,
 426, 427, 1921, -1, 1921, 427, 1868, -1, 1921, 1868, 1927, -1,
 1927, 1868, 1940, -1, 428, 1307, 427, -1, 427, 1307, 1630, -1,
 427, 1630, 1868, -1, 429, 1008, 428, -1, 428, 1008, 1095, -1,
 428, 1095, 1307, -1, 921, 923, 430, -1, 430, 923, 925, -1,
 925, 927, 430, -1, 430, 927, 929, -1, 430, 929, 933, -1,
 933, 937, 430, -1, 430, 937, 942, -1, 430, 942, 429, -1,
 429, 942, 959, -1, 429, 959, 1008, -1, 949, 935, 432, -1,
 432, 935, 932, -1, 432, 932, 431, -1, 431, 932, 928, -1,
 928, 926, 431, -1, 431, 926, 924, -1, 431, 924, 430, -1,
 430, 924, 922, -1, 430, 922, 921, -1, 432, 431, 396, -1,
 431, 430, 394, -1, 430, 429, 391, -1, 429, 428, 389, -1,
 428, 427, 386, -1, 427, 426, 384, -1, 427, 384, 386, -1,
 386, 384, 334, -1, 386, 334, 338, -1, 338, 334, 283, -1,
 338, 283, 287, -1, 287, 283, 195, -1, 287, 195, 198, -1,
 198, 195, 109, -1, 198, 109, 118, -1, 118, 109, 61, -1,
 118, 61, 72, -1, 72, 61, 47, -1, 72, 47, 55, -1,
 55, 47, 87, -1, 55, 87, 93, -1, 93, 87, 144, -1,
 93, 144, 151, -1, 428, 386, 389, -1, 389, 386, 338, -1,
 389, 338, 348, -1, 348, 338, 287, -1, 348, 287, 291, -1,
 291, 287, 198, -1, 291, 198, 226, -1, 226, 198, 118, -1,
 226, 118, 133, -1, 133, 118, 72, -1, 133, 72, 91, -1,
 91, 72, 55, -1, 91, 55, 85, -1, 85, 55, 93, -1,
 85, 93, 114, -1, 114, 93, 151, -1, 114, 151, 184, -1,
 429, 389, 391, -1, 391, 389, 348, -1, 391, 348, 352, -1,
 352, 348, 291, -1, 352, 291, 295, -1, 295, 291, 226, -1,
 295, 226, 255, -1, 255, 226, 133, -1, 255, 133, 171, -1,
 171, 133, 91, -1, 171, 91, 131, -1, 131, 91, 85, -1,
 131, 85, 120, -1, 120, 85, 114, -1, 120, 114, 141, -1,
 141, 114, 184, -1, 141, 184, 202, -1, 430, 391, 394, -1,
 394, 391, 352, -1, 394, 352, 356, -1, 356, 352, 295, -1,
 356, 295, 311, -1, 311, 295, 255, -1, 311, 255, 276, -1,
 276, 255, 171, -1, 276, 171, 204, -1, 204, 171, 131, -1,
 204, 131, 177, -1, 177, 131, 120, -1, 177, 120, 161, -1,
 161, 120, 141, -1, 161, 141, 191, -1, 191, 141, 202, -1,
 191, 202, 257, -1, 431, 394, 396, -1, 396, 394, 356, -1,
 396, 356, 367, -1, 367, 356, 311, -1, 367, 311, 321, -1,
 321, 311, 276, -1, 321, 276, 289, -1, 289, 276, 204, -1,
 289, 204, 261, -1, 261, 204, 177, -1, 261, 177, 248, -1,
 248, 177, 161, -1, 248, 161, 216, -1, 216, 161, 191, -1,
 216, 191, 253, -1, 253, 191, 257, -1, 253, 257, 278, -1,
 432, 396, 409, -1, 409, 396, 367, -1, 409, 367, 371, -1,
 371, 367, 321, -1, 371, 321, 336, -1, 336, 321, 289, -1,
 336, 289, 309, -1, 309, 289, 261, -1, 309, 261, 285, -1,
 285, 261, 248, -1, 285, 248, 274, -1, 274, 248, 216, -1,
 274, 216, 268, -1, 268, 216, 253, -1, 268, 253, 280, -1,
 280, 253, 278, -1, 280, 278, 293, -1, 144, 632, 637, -1,
 144, 637, 151, -1, 151, 637, 639, -1, 151, 639, 184, -1,
 184, 639, 653, -1, 184, 653, 202, -1, 202, 653, 666, -1,
 202, 666, 257, -1, 257, 666, 681, -1, 257, 681, 278, -1,
 278, 681, 692, -1, 278, 692, 293, -1, 632, 673, 637, -1,
 637, 673, 675, -1, 637, 675, 639, -1, 639, 675, 679, -1,
 639, 679, 653, -1, 653, 679, 683, -1, 653, 683, 666, -1,
 666, 683, 694, -1, 666, 694, 681, -1, 681, 694, 701, -1,
 681, 701, 692, -1, 692, 701, 717, -1, 673, 712, 675, -1,
 675, 712, 716, -1, 675, 716, 679, -1, 679, 716, 721, -1,
 679, 721, 683, -1, 683, 721, 728, -1, 683, 728, 694, -1,
 694, 728, 733, -1, 694, 733, 701, -1, 701, 733, 743, -1,
 701, 743, 717, -1, 717, 743, 751, -1, 712, 757, 716, -1,
 716, 757, 759, -1, 716, 759, 721, -1, 721, 759, 761, -1,
 721, 761, 728, -1, 728, 761, 763, -1, 728, 763, 733, -1,
 733, 763, 765, -1, 733, 765, 743, -1, 743, 765, 766, -1,
 743, 766, 751, -1, 751, 766, 769, -1, 757, 1317, 1321, -1,
 757, 1321, 759, -1, 759, 1321, 1328, -1, 759, 1328, 761, -1,
 761, 1328, 1337, -1, 761, 1337, 763, -1, 763, 1337, 1356, -1,
 763, 1356, 765, -1, 765, 1356, 1369, -1, 765, 1369, 766, -1,
 766, 1369, 1383, -1, 766, 1383, 769, -1, 1426, 1490, 1494, -1,
 1503, 1571, 1580, -1, 1584, 1611, 1614, -1, 1667, 1676, 1639, -1,
 1781, 1771, 1763, -1, 1763, 1771, 1748, -1, 1763, 1748, 1759, -1,
 1759, 1748, 1757, -1, 1757, 1748, 1674, -1, 1757, 1674, 1747, -1,
 1621, 1730, 1674, -1, 1674, 1730, 1746, -1, 1674, 1746, 1747, -1,
 1676, 1685, 1639, -1, 1639, 1685, 1699, -1, 1639, 1699, 1684, -1,
 1684, 1699, 1715, -1, 1684, 1715, 1727, -1, 1622, 1634, 1645, -1,
 1667, 1639, 1653, -1, 1653, 1639, 1614, -1, 1653, 1614, 1645, -1,
 1645, 1614, 1611, -1, 1645, 1611, 1622, -1, 1571, 1584, 1580, -1,
 1580, 1584, 1614, -1, 1580, 1614, 1599, -1, 1599, 1614, 1639, -1,
 1599, 1639, 1621, -1, 1621, 1639, 1684, -1, 1621, 1684, 1730, -1,
 1730, 1684, 1727, -1, 1490, 1503, 1494, -1, 1494, 1503, 1580, -1,
 1494, 1580, 1511, -1, 1511, 1580, 1599, -1, 1511, 1599, 1544, -1,
 1544, 1599, 1621, -1, 1544, 1621, 1583, -1, 1583, 1621, 1674, -1,
 1583, 1674, 1620, -1, 1620, 1674, 1748, -1, 1620, 1748, 1673, -1,
 1673, 1748, 1771, -1, 1410, 1426, 1416, -1, 1416, 1426, 1494, -1,
 1416, 1494, 1433, -1, 1433, 1494, 1511, -1, 1433, 1511, 1448, -1,
 1448, 1511, 1544, -1, 1448, 1544, 1470, -1, 1470, 1544, 1583, -1,
 1470, 1583, 1495, -1, 1495, 1583, 1620, -1, 1495, 1620, 1528, -1,
 1528, 1620, 1673, -1, 1528, 1383, 1495, -1, 1495, 1383, 1369, -1,
 1495, 1369, 1470, -1, 1470, 1369, 1356, -1, 1470, 1356, 1448, -1,
 1448, 1356, 1337, -1, 1448, 1337, 1433, -1, 1433, 1337, 1328, -1,
 1433, 1328, 1416, -1, 1416, 1328, 1321, -1, 1416, 1321, 1410, -1,
 1410, 1321, 1317, -1, 1631, 1623, 1604, -1, 1277, 1283, 1284, -1,
 1359, 1360, 1357, -1, 1698, 1696, 1692, -1, 1685, 1676, 1686, -1,
 1686, 1676, 1666, -1, 1686, 1666, 1665, -1, 1696, 1690, 1664, -1,
 1664, 1690, 1689, -1, 1664, 1689, 1665, -1, 1665, 1689, 1688, -1,
 1665, 1688, 1686, -1, 1698, 1692, 1702, -1, 1702, 1692, 1687, -1,
 1702, 1687, 1705, -1, 1705, 1687, 1704, -1, 1704, 1687, 1677, -1,
 1704, 1677, 1700, -1, 1675, 1678, 1697, -1, 1697, 1678, 1694, -1,
 1602, 1609, 1628, -1, 1628, 1609, 1632, -1, 1628, 1632, 1675, -1,
 1675, 1632, 1669, -1, 1675, 1669, 1678, -1, 1582, 1598, 1602, -1,
 1602, 1598, 1603, -1, 1602, 1603, 1609, -1, 1602, 1581, 1582, -1,
 1582, 1581, 1575, -1, 1582, 1575, 1576, -1, 1576, 1575, 1567, -1,
 1576, 1567, 1568, -1, 1568, 1567, 1557, -1, 1568, 1557, 1558, -1,
 1558, 1557, 1546, -1, 1558, 1546, 1545, -1, 1545, 1546, 1538, -1,
 1545, 1538, 1537, -1, 1537, 1538, 1523, -1, 1537, 1523, 1524, -1,
 1524, 1523, 1502, -1, 1524, 1502, 1497, -1, 1497, 1502, 1473, -1,
 1497, 1473, 1472, -1, 1472, 1473, 1457, -1, 1457, 1473, 1417, -1,
 1457, 1417, 1413, -1, 1360, 1359, 1417, -1, 1417, 1359, 1367, -1,
 1417, 1367, 1413, -1, 1336, 1329, 1362, -1, 1362, 1329, 1340, -1,
 1284, 1283, 1336, -1, 1336, 1283, 1311, -1, 1336, 1311, 1329, -1,
 1268, 1265, 1273, -1, 1268, 1273, 1293, -1, 1234, 1236, 1254, -1,
 1254, 1236, 1237, -1, 1265, 1268, 1260, -1, 1260, 1268, 1254, -1,
 1260, 1254, 1252, -1, 1252, 1254, 1237, -1, 1252, 1237, 1239, -1,
 1257, 1233, 1234, -1, 1304, 1282, 1272, -1, 1272, 1282, 1261, -1,
 1272, 1261, 1257, -1, 1257, 1261, 1232, -1, 1257, 1232, 1233, -1,
 1427, 1386, 1376, -1, 1376, 1386, 1364, -1, 1376, 1364, 1348, -1,
 1348, 1364, 1314, -1, 1348, 1314, 1304, -1, 1304, 1314, 1312, -1,
 1304, 1312, 1282, -1, 1427, 1376, 1447, -1, 1447, 1376, 1444, -1,
 1447, 1444, 1488, -1, 1586, 1585, 1589, -1, 1589, 1585, 1574, -1,
 1589, 1574, 1577, -1, 1577, 1574, 1569, -1, 1577, 1569, 1570, -1,
 1570, 1569, 1562, -1, 1570, 1562, 1563, -1, 1563, 1562, 1553, -1,
 1563, 1553, 1554, -1, 1554, 1553, 1550, -1, 1554, 1550, 1549, -1,
 1549, 1550, 1543, -1, 1549, 1543, 1542, -1, 1542, 1543, 1536, -1,
 1542, 1536, 1529, -1, 1529, 1536, 1516, -1, 1529, 1516, 1512, -1,
 1512, 1516, 1507, -1, 1512, 1507, 1488, -1, 1488, 1507, 1493, -1,
 1488, 1493, 1447, -1, 1700, 1677, 1697, -1, 1697, 1677, 1660, -1,
 1697, 1660, 1675, -1, 1675, 1660, 1615, -1, 1675, 1615, 1628, -1,
 1628, 1615, 1600, -1, 1628, 1600, 1602, -1, 1602, 1600, 1579, -1,
 1602, 1579, 1581, -1, 1581, 1579, 1573, -1, 1581, 1573, 1575, -1,
 1575, 1573, 1565, -1, 1575, 1565, 1567, -1, 1567, 1565, 1556, -1,
 1567, 1556, 1557, -1, 1557, 1556, 1547, -1, 1557, 1547, 1546, -1,
 1546, 1547, 1539, -1, 1546, 1539, 1538, -1, 1538, 1539, 1525, -1,
 1538, 1525, 1523, -1, 1523, 1525, 1505, -1, 1523, 1505, 1502, -1,
 1502, 1505, 1476, -1, 1502, 1476, 1473, -1, 1473, 1476, 1421, -1,
 1473, 1421, 1417, -1, 1417, 1421, 1362, -1, 1417, 1362, 1360, -1,
 1360, 1362, 1340, -1, 1360, 1340, 1357, -1, 1586, 1589, 1604, -1,
 1604, 1589, 1610, -1, 1604, 1610, 1631, -1, 1696, 1664, 1692, -1,
 1692, 1664, 1663, -1, 1692, 1663, 1687, -1, 1687, 1663, 1661, -1,
 1687, 1661, 1677, -1, 1677, 1661, 1638, -1, 1677, 1638, 1660, -1,
 1660, 1638, 1612, -1, 1660, 1612, 1615, -1, 1615, 1612, 1596, -1,
 1615, 1596, 1600, -1, 1600, 1596, 1578, -1, 1600, 1578, 1579, -1,
 1579, 1578, 1572, -1, 1579, 1572, 1573, -1, 1573, 1572, 1564, -1,
 1573, 1564, 1565, -1, 1565, 1564, 1555, -1, 1565, 1555, 1556, -1,
 1556, 1555, 1548, -1, 1556, 1548, 1547, -1, 1547, 1548, 1541, -1,
 1547, 1541, 1539, -1, 1539, 1541, 1526, -1, 1539, 1526, 1525, -1,
 1525, 1526, 1510, -1, 1525, 1510, 1505, -1, 1505, 1510, 1482, -1,
 1505, 1482, 1476, -1, 1476, 1482, 1435, -1, 1476, 1435, 1421, -1,
 1421, 1435, 1368, -1, 1421, 1368, 1362, -1, 1362, 1368, 1339, -1,
 1362, 1339, 1336, -1, 1336, 1339, 1293, -1, 1336, 1293, 1284, -1,
 1284, 1293, 1273, -1, 1284, 1273, 1277, -1, 1623, 1631, 1625, -1,
 1625, 1631, 1644, -1, 1625, 1644, 1636, -1, 1636, 1644, 1654, -1,
 1636, 1654, 1640, -1, 1640, 1654, 1655, -1, 1640, 1655, 1643, -1,
 1234, 1254, 1257, -1, 1257, 1254, 1268, -1, 1257, 1268, 1272, -1,
 1272, 1268, 1293, -1, 1272, 1293, 1304, -1, 1304, 1293, 1339, -1,
 1304, 1339, 1348, -1, 1348, 1339, 1368, -1, 1348, 1368, 1376, -1,
 1376, 1368, 1435, -1, 1376, 1435, 1444, -1, 1444, 1435, 1482, -1,
 1444, 1482, 1488, -1, 1488, 1482, 1510, -1, 1488, 1510, 1512, -1,
 1512, 1510, 1526, -1, 1512, 1526, 1529, -1, 1529, 1526, 1541, -1,
 1529, 1541, 1542, -1, 1542, 1541, 1548, -1, 1542, 1548, 1549, -1,
 1549, 1548, 1555, -1, 1549, 1555, 1554, -1, 1554, 1555, 1564, -1,
 1554, 1564, 1563, -1, 1563, 1564, 1572, -1, 1563, 1572, 1570, -1,
 1570, 1572, 1578, -1, 1570, 1578, 1577, -1, 1577, 1578, 1596, -1,
 1577, 1596, 1589, -1, 1589, 1596, 1612, -1, 1589, 1612, 1610, -1,
 1610, 1612, 1638, -1, 1610, 1638, 1631, -1, 1631, 1638, 1661, -1,
 1631, 1661, 1644, -1, 1644, 1661, 1663, -1, 1644, 1663, 1654, -1,
 1654, 1663, 1664, -1, 1654, 1664, 1655, -1, 1655, 1664, 1665, -1,
 1655, 1665, 1651, -1, 1651, 1665, 1666, -1, 1651, 1666, 1646, -1,
 1676, 1667, 1666, -1, 1666, 1667, 1653, -1, 1666, 1653, 1646, -1,
 1646, 1653, 1645, -1, 1643, 1655, 1641, -1, 1641, 1655, 1651, -1,
 1641, 1651, 1637, -1, 1637, 1651, 1646, -1, 1637, 1646, 1635, -1,
 1635, 1646, 1645, -1, 1635, 1645, 1634, -1, 1216, 1239, 1237, -1,
 1165, 1169, 1170, -1, 1170, 1169, 1191, -1, 1170, 1191, 1171, -1,
 1171, 1191, 1216, -1, 1171, 1128, 1170, -1, 1170, 1128, 1117, -1,
 1170, 1117, 1165, -1, 1165, 1117, 1114, -1, 1165, 1114, 1143, -1,
 1143, 1114, 1110, -1, 1143, 1110, 1134, -1, 1134, 1110, 1108, -1,
 1134, 1108, 1102, -1, 1172, 1132, 1171, -1, 1171, 1132, 1129, -1,
 1171, 1129, 1128, -1, 1173, 1136, 1172, -1, 1172, 1136, 1133, -1,
 1172, 1133, 1132, -1, 1216, 1237, 1171, -1, 1171, 1237, 1236, -1,
 1171, 1236, 1172, -1, 1172, 1236, 1234, -1, 1172, 1234, 1233, -1,
 1233, 1232, 1172, -1, 1172, 1232, 1205, -1, 1172, 1205, 1173, -1,
 246, 1079, 251, -1, 251, 1079, 1092, -1, 270, 1132, 272, -1,
 272, 1132, 1133, -1, 272, 1133, 1136, -1, 266, 264, 1114, -1,
 1114, 1117, 266, -1, 266, 1117, 1128, -1, 266, 1128, 270, -1,
 270, 1128, 1129, -1, 270, 1129, 1132, -1, 1092, 1100, 251, -1,
 251, 1100, 1102, -1, 251, 1102, 259, -1, 259, 1102, 1108, -1,
 259, 1108, 264, -1, 264, 1108, 1110, -1, 264, 1110, 1114, -1,
 246, 251, 243, -1, 251, 259, 242, -1, 264, 266, 240, -1,
 270, 272, 238, -1, 270, 238, 239, -1, 239, 238, 157, -1,
 239, 157, 163, -1, 163, 157, 104, -1, 163, 104, 112, -1,
 112, 104, 58, -1, 112, 58, 69, -1, 69, 58, 29, -1,
 69, 29, 35, -1, 35, 29, 13, -1, 35, 13, 17, -1,
 13, 2, 6, -1, 13, 6, 17, -1, 17, 6, 10, -1,
 17, 10, 20, -1, 20, 33, 17, -1, 17, 33, 45, -1,
 17, 45, 35, -1, 35, 45, 82, -1, 35, 82, 69, -1,
 69, 82, 127, -1, 69, 127, 112, -1, 112, 127, 175, -1,
 112, 175, 163, -1, 163, 175, 240, -1, 163, 240, 239, -1,
 239, 240, 266, -1, 239, 266, 270, -1, 264, 240, 241, -1,
 241, 240, 175, -1, 241, 175, 186, -1, 186, 175, 127, -1,
 186, 127, 139, -1, 139, 127, 82, -1, 139, 82, 101, -1,
 101, 82, 45, -1, 101, 45, 79, -1, 79, 45, 33, -1,
 79, 33, 65, -1, 20, 26, 33, -1, 33, 26, 42, -1,
 33, 42, 65, -1, 65, 42, 52, -1, 65, 52, 76, -1,
 76, 110, 65, -1, 65, 110, 125, -1, 65, 125, 79, -1,
 79, 125, 136, -1, 79, 136, 101, -1, 101, 136, 159, -1,
 101, 159, 139, -1, 139, 159, 193, -1, 139, 193, 186, -1,
 186, 193, 242, -1, 186, 242, 241, -1, 241, 242, 259, -1,
 241, 259, 264, -1, 251, 242, 243, -1, 243, 242, 193, -1,
 243, 193, 200, -1, 200, 193, 159, -1, 200, 159, 189, -1,
 189, 159, 136, -1, 189, 136, 181, -1, 181, 136, 125, -1,
 181, 125, 167, -1, 167, 125, 110, -1, 167, 110, 155, -1,
 76, 97, 110, -1, 110, 97, 122, -1, 110, 122, 155, -1,
 155, 122, 148, -1, 155, 148, 168, -1, 246, 243, 244, -1,
 244, 243, 200, -1, 244, 200, 230, -1, 230, 200, 189, -1,
 230, 189, 228, -1, 228, 189, 181, -1, 228, 181, 223, -1,
 223, 181, 167, -1, 223, 167, 218, -1, 218, 167, 155, -1,
 218, 155, 212, -1, 212, 155, 168, -1, 212, 168, 207, -1,
 3, 7, 2, -1, 2, 7, 6, -1, 6, 7, 10, -1,
 10, 7, 11, -1, 10, 11, 20, -1, 20, 11, 21, -1,
 20, 21, 26, -1, 26, 21, 27, -1, 26, 27, 42, -1,
 42, 27, 43, -1, 42, 43, 52, -1, 52, 43, 53, -1,
 52, 53, 76, -1, 76, 53, 77, -1, 76, 77, 97, -1,
 97, 77, 98, -1, 97, 98, 122, -1, 122, 98, 123, -1,
 122, 123, 148, -1, 148, 123, 149, -1, 148, 149, 168, -1,
 149, 169, 168, -1, 168, 169, 208, -1, 168, 208, 207, -1,
 497, 491, 466, -1, 504, 488, 523, -1, 523, 488, 526, -1,
 527, 549, 535, -1, 569, 568, 550, -1, 550, 568, 557, -1,
 550, 557, 551, -1, 587, 586, 575, -1, 575, 586, 583, -1,
 575, 583, 578, -1, 606, 592, 608, -1, 608, 592, 609, -1,
 2588, 2587, 2494, -1, 2494, 2587, 2565, -1, 2591, 2590, 2495, -1,
 2495, 2590, 2589, -1, 2495, 2589, 2588, -1, 2593, 2592, 2496, -1,
 2496, 2592, 2591, -1, 2595, 2594, 2497, -1, 2497, 2594, 2593, -1,
 2602, 2600, 2498, -1, 2498, 2600, 2599, -1, 2498, 2599, 2595, -1,
 2499, 2606, 2603, -1, 501, 497, 467, -1, 467, 497, 466, -1,
 467, 466, 465, -1, 465, 466, 461, -1, 461, 458, 465, -1,
 465, 458, 479, -1, 465, 479, 495, -1, 495, 479, 499, -1,
 495, 499, 554, -1, 499, 552, 554, -1, 554, 552, 581, -1,
 554, 581, 603, -1, 603, 581, 600, -1, 603, 600, 654, -1,
 654, 600, 649, -1, 649, 651, 654, -1, 654, 651, 715, -1,
 654, 715, 719, -1, 719, 715, 748, -1, 719, 748, 775, -1,
 775, 748, 773, -1, 775, 773, 797, -1, 797, 773, 795, -1,
 795, 796, 797, -1, 797, 796, 840, -1, 797, 840, 841, -1,
 841, 840, 854, -1, 841, 854, 902, -1, 854, 897, 902, -1,
 902, 897, 946, -1, 902, 946, 991, -1, 991, 946, 986, -1,
 991, 986, 1255, -1, 1255, 986, 1202, -1, 1202, 1247, 1255, -1,
 1255, 1247, 1779, -1, 1255, 1779, 1782, -1, 1782, 1779, 1851, -1,
 1782, 1851, 1966, -1, 1966, 1851, 1963, -1, 1966, 1963, 2133, -1,
 2133, 1963, 2096, -1, 2096, 2131, 2133, -1, 2133, 2131, 2243, -1,
 2133, 2243, 2244, -1, 2244, 2243, 2272, -1, 2244, 2272, 2398, -1,
 2603, 2602, 2499, -1, 2499, 2602, 2498, -1, 2499, 2498, 2439, -1,
 2439, 2498, 2398, -1, 2439, 2398, 2397, -1, 2397, 2398, 2272, -1,
 2595, 2497, 2498, -1, 2498, 2497, 2399, -1, 2498, 2399, 2398, -1,
 2398, 2399, 2245, -1, 2398, 2245, 2244, -1, 2244, 2245, 2135, -1,
 2244, 2135, 2133, -1, 2133, 2135, 1973, -1, 2133, 1973, 1966, -1,
 1966, 1973, 1785, -1, 1966, 1785, 1782, -1, 1782, 1785, 1267, -1,
 1782, 1267, 1255, -1, 1255, 1267, 996, -1, 1255, 996, 991, -1,
 991, 996, 903, -1, 991, 903, 902, -1, 902, 903, 843, -1,
 902, 843, 841, -1, 841, 843, 801, -1, 841, 801, 797, -1,
 797, 801, 778, -1, 797, 778, 775, -1, 775, 778, 727, -1,
 775, 727, 719, -1, 719, 727, 662, -1, 719, 662, 654, -1,
 654, 662, 610, -1, 654, 610, 603, -1, 603, 610, 562, -1,
 603, 562, 554, -1, 554, 562, 511, -1, 554, 511, 495, -1,
 495, 511, 476, -1, 495, 476, 465, -1, 465, 476, 488, -1,
 465, 488, 467, -1, 467, 488, 504, -1, 467, 504, 501, -1,
 2593, 2496, 2497, -1, 2497, 2496, 2400, -1, 2497, 2400, 2399, -1,
 2399, 2400, 2247, -1, 2399, 2247, 2245, -1, 2245, 2247, 2136, -1,
 2245, 2136, 2135, -1, 2135, 2136, 1982, -1, 2135, 1982, 1973, -1,
 1973, 1982, 1790, -1, 1973, 1790, 1785, -1, 1785, 1790, 1292, -1,
 1785, 1292, 1267, -1, 1267, 1292, 1010, -1, 1267, 1010, 996, -1,
 996, 1010, 911, -1, 996, 911, 903, -1, 903, 911, 858, -1,
 903, 858, 843, -1, 843, 858, 805, -1, 843, 805, 801, -1,
 801, 805, 781, -1, 801, 781, 778, -1, 778, 781, 738, -1,
 778, 738, 727, -1, 727, 738, 667, -1, 727, 667, 662, -1,
 662, 667, 614, -1, 662, 614, 610, -1, 610, 614, 577, -1,
 610, 577, 562, -1, 562, 577, 542, -1, 562, 542, 511, -1,
 511, 542, 510, -1, 511, 510, 476, -1, 476, 510, 527, -1,
 476, 527, 488, -1, 488, 527, 535, -1, 488, 535, 526, -1,
 2591, 2495, 2496, -1, 2496, 2495, 2401, -1, 2496, 2401, 2400, -1,
 2400, 2401, 2253, -1, 2400, 2253, 2247, -1, 2247, 2253, 2138, -1,
 2247, 2138, 2136, -1, 2136, 2138, 1988, -1, 2136, 1988, 1982, -1,
 1982, 1988, 1801, -1, 1982, 1801, 1790, -1, 1790, 1801, 1318, -1,
 1790, 1318, 1292, -1, 1292, 1318, 1027, -1, 1292, 1027, 1010, -1,
 1010, 1027, 918, -1, 1010, 918, 911, -1, 911, 918, 867, -1,
 911, 867, 858, -1, 858, 867, 808, -1, 858, 808, 805, -1,
 805, 808, 784, -1, 805, 784, 781, -1, 781, 784, 750, -1,
 781, 750, 738, -1, 738, 750, 682, -1, 738, 682, 667, -1,
 667, 682, 622, -1, 667, 622, 614, -1, 614, 622, 591, -1,
 614, 591, 577, -1, 577, 591, 560, -1, 577, 560, 542, -1,
 542, 560, 547, -1, 542, 547, 510, -1, 510, 547, 550, -1,
 510, 550, 527, -1, 527, 550, 551, -1, 527, 551, 549, -1,
 2588, 2494, 2495, -1, 2495, 2494, 2402, -1, 2495, 2402, 2401, -1,
 2401, 2402, 2257, -1, 2401, 2257, 2253, -1, 2253, 2257, 2140, -1,
 2253, 2140, 2138, -1, 2138, 2140, 1993, -1, 2138, 1993, 1988, -1,
 1988, 1993, 1818, -1, 1988, 1818, 1801, -1, 1801, 1818, 1350, -1,
 1801, 1350, 1318, -1, 1318, 1350, 1040, -1, 1318, 1040, 1027, -1,
 1027, 1040, 931, -1, 1027, 931, 918, -1, 918, 931, 875, -1,
 918, 875, 867, -1, 867, 875, 813, -1, 867, 813, 808, -1,
 808, 813, 787, -1, 808, 787, 784, -1, 784, 787, 755, -1,
 784, 755, 750, -1, 750, 755, 695, -1, 750, 695, 682, -1,
 682, 695, 645, -1, 682, 645, 622, -1, 622, 645, 611, -1,
 622, 611, 591, -1, 591, 611, 582, -1, 591, 582, 560, -1,
 560, 582, 573, -1, 560, 573, 547, -1, 547, 573, 575, -1,
 547, 575, 550, -1, 550, 575, 578, -1, 550, 578, 569, -1,
 2565, 2493, 2494, -1, 2494, 2493, 2403, -1, 2494, 2403, 2402, -1,
 2402, 2403, 2263, -1, 2402, 2263, 2257, -1, 2257, 2263, 2144, -1,
 2257, 2144, 2140, -1, 2140, 2144, 1998, -1, 2140, 1998, 1993, -1,
 1993, 1998, 1836, -1, 1993, 1836, 1818, -1, 1818, 1836, 1380, -1,
 1818, 1380, 1350, -1, 1350, 1380, 1057, -1, 1350, 1057, 1040, -1,
 1040, 1057, 939, -1, 1040, 939, 931, -1, 931, 939, 879, -1,
 931, 879, 875, -1, 875, 879, 822, -1, 875, 822, 813, -1,
 813, 822, 790, -1, 813, 790, 787, -1, 787, 790, 764, -1,
 787, 764, 755, -1, 755, 764, 704, -1, 755, 704, 695, -1,
 695, 704, 663, -1, 695, 663, 645, -1, 645, 663, 618, -1,
 645, 618, 611, -1, 611, 618, 602, -1, 611, 602, 582, -1,
 582, 602, 589, -1, 582, 589, 573, -1, 573, 589, 592, -1,
 573, 592, 575, -1, 575, 592, 606, -1, 575, 606, 587, -1,
 3, 5, 7, -1, 7, 5, 15, -1, 7, 15, 11, -1,
 11, 15, 21, -1, 21, 15, 31, -1, 21, 31, 27, -1,
 63, 106, 98, -1, 98, 77, 63, -1, 63, 77, 53, -1,
 63, 53, 31, -1, 31, 53, 43, -1, 31, 43, 27, -1,
 153, 210, 208, -1, 208, 169, 153, -1, 153, 169, 149, -1,
 153, 149, 106, -1, 106, 149, 123, -1, 106, 123, 98, -1,
 5, 19, 15, -1, 15, 19, 23, -1, 15, 23, 31, -1,
 31, 23, 41, -1, 31, 41, 63, -1, 63, 41, 74, -1,
 63, 74, 106, -1, 106, 74, 116, -1, 106, 116, 153, -1,
 153, 116, 165, -1, 153, 165, 210, -1, 210, 165, 214, -1,
 19, 37, 23, -1, 23, 37, 39, -1, 23, 39, 41, -1,
 41, 39, 49, -1, 41, 49, 74, -1, 74, 49, 89, -1,
 74, 89, 116, -1, 116, 89, 129, -1, 116, 129, 165, -1,
 165, 129, 173, -1, 165, 173, 214, -1, 214, 173, 220, -1,
 37, 59, 39, -1, 39, 59, 70, -1, 39, 70, 49, -1,
 49, 70, 83, -1, 49, 83, 89, -1, 89, 83, 102, -1,
 89, 102, 129, -1, 129, 102, 137, -1, 129, 137, 173, -1,
 173, 137, 182, -1, 173, 182, 220, -1, 220, 182, 224, -1,
 535, 549, 102, -1, 557, 568, 137, -1, 587, 224, 182, -1,
 587, 606, 224, -1, 224, 606, 608, -1, 224, 608, 609, -1,
 578, 583, 182, -1, 182, 583, 586, -1, 182, 586, 587, -1,
 137, 568, 182, -1, 182, 568, 569, -1, 182, 569, 578, -1,
 102, 549, 137, -1, 137, 549, 551, -1, 137, 551, 557, -1,
 83, 523, 102, -1, 102, 523, 526, -1, 102, 526, 535, -1,
 70, 59, 491, -1, 491, 497, 70, -1, 70, 497, 501, -1,
 70, 501, 83, -1, 83, 501, 504, -1, 83, 504, 523, -1,
 4524, 4525, 2983, -1, 2983, 4525, 3038, -1, 2983, 3038, 2970, -1,
 2970, 3038, 2955, -1, 4526, 3633, 4525, -1, 4525, 3633, 3305, -1,
 4525, 3305, 3038, -1, 4527, 3947, 4526, -1, 4526, 3947, 3868, -1,
 4526, 3868, 3633, -1, 4030, 4028, 4528, -1, 4528, 4028, 4026, -1,
 4026, 4023, 4528, -1, 4528, 4023, 4021, -1, 4528, 4021, 4018, -1,
 4018, 4015, 4528, -1, 4528, 4015, 4011, -1, 4528, 4011, 4527, -1,
 4527, 4011, 3996, -1, 4527, 3996, 3947, -1, 4005, 4016, 4530, -1,
 4530, 4016, 4019, -1, 4530, 4019, 4529, -1, 4529, 4019, 4022, -1,
 4022, 4025, 4529, -1, 4529, 4025, 4027, -1, 4529, 4027, 4528, -1,
 4528, 4027, 4029, -1, 4528, 4029, 4030, -1, 4530, 4529, 4554, -1,
 4529, 4528, 4556, -1, 4528, 4527, 4559, -1, 4527, 4526, 4561, -1,
 4526, 4525, 4564, -1, 4525, 4524, 4566, -1, 4525, 4566, 4564, -1,
 4564, 4566, 4616, -1, 4564, 4616, 4612, -1, 4612, 4616, 4667, -1,
 4612, 4667, 4663, -1, 4663, 4667, 4755, -1, 4663, 4755, 4752, -1,
 4752, 4755, 4844, -1, 4752, 4844, 4835, -1, 4835, 4844, 4895, -1,
 4835, 4895, 4883, -1, 4883, 4895, 4909, -1, 4883, 4909, 4901, -1,
 4901, 4909, 4867, -1, 4901, 4867, 4861, -1, 4861, 4867, 4807, -1,
 4861, 4807, 4800, -1, 4526, 4564, 4561, -1, 4561, 4564, 4612, -1,
 4561, 4612, 4602, -1, 4602, 4612, 4663, -1, 4602, 4663, 4659, -1,
 4659, 4663, 4752, -1, 4659, 4752, 4724, -1, 4724, 4752, 4835, -1,
 4724, 4835, 4819, -1, 4819, 4835, 4883, -1, 4819, 4883, 4863, -1,
 4863, 4883, 4901, -1, 4863, 4901, 4869, -1, 4869, 4901, 4861, -1,
 4869, 4861, 4839, -1, 4839, 4861, 4800, -1, 4839, 4800, 4767, -1,
 4527, 4561, 4559, -1, 4559, 4561, 4602, -1, 4559, 4602, 4598, -1,
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 4655, 4724, 4695, -1, 4695, 4724, 4819, -1, 4695, 4819, 4780, -1,
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 3543, 3553, 3551, -1, 3226, 3255, 3219, -1, 3219, 3255, 3264, -1,
 3219, 3264, 3216, -1, 3209, 3261, 3212, -1, 3216, 3264, 3261, -1,
 3261, 3264, 3302, -1, 3261, 3302, 3326, -1, 3229, 3215, 3270, -1,
 3270, 3215, 3263, -1, 3270, 3263, 3304, -1, 3304, 3263, 3329, -1,
 3302, 3325, 3326, -1, 3326, 3325, 3331, -1, 3326, 3331, 3338, -1,
 3331, 3337, 3338, -1, 3338, 3337, 3353, -1, 3338, 3353, 3378, -1,
 3378, 3353, 3360, -1, 3378, 3360, 3368, -1, 3368, 3379, 3378, -1,
 3378, 3379, 3392, -1, 3378, 3392, 3411, -1, 3392, 3400, 3411, -1,
 3411, 3400, 3414, -1, 3411, 3414, 3477, -1, 3477, 3414, 3440, -1,
 3440, 3466, 3477, -1, 3477, 3466, 3482, -1, 3477, 3482, 3543, -1,
 3543, 3482, 3525, -1, 3543, 3525, 3567, -1, 3551, 3538, 3543, -1,
 3543, 3538, 3523, -1, 3543, 3523, 3477, -1, 3477, 3523, 3470, -1,
 3477, 3470, 3411, -1, 3411, 3470, 3407, -1, 3411, 3407, 3378, -1,
 3378, 3407, 3377, -1, 3378, 3377, 3338, -1, 3338, 3377, 3340, -1,
 3338, 3340, 3326, -1, 3326, 3340, 3328, -1, 3326, 3328, 3261, -1,
 3212, 3261, 3263, -1, 3263, 3261, 3328, -1, 3263, 3328, 3329, -1,
 3329, 3328, 3340, -1, 3329, 3340, 3341, -1, 3341, 3340, 3377, -1,
 3341, 3377, 3376, -1, 3376, 3377, 3407, -1, 3376, 3407, 3402, -1,
 3402, 3407, 3470, -1, 3402, 3470, 3465, -1, 3465, 3470, 3523, -1,
 3465, 3523, 3503, -1, 3503, 3523, 3524, -1, 3503, 3524, 3509, -1,
 2839, 2815, 2821, -1, 2559, 2551, 2552, -1, 2314, 2279, 2274, -1,
 2022, 1976, 1974, -1, 1521, 1434, 1419, -1, 1067, 1051, 1049, -1,
 1014, 1023, 1018, -1, 1053, 1055, 1050, -1, 2971, 3140, 3123, -1,
 2859, 2971, 2961, -1, 2754, 2859, 2848, -1, 2668, 2754, 2753, -1,
 2557, 2668, 2666, -1, 2483, 2557, 2556, -1, 2363, 2483, 2482, -1,
 2241, 2363, 2368, -1, 2152, 2241, 2252, -1, 2061, 2152, 2158, -1,
 1937, 2061, 2071, -1, 1798, 1937, 1941, -1, 1496, 1798, 1830, -1,
 1207, 1496, 1566, -1, 1077, 1207, 1264, -1, 1000, 1077, 1096, -1,
 964, 1000, 1031, -1, 954, 964, 975, -1, 947, 954, 962, -1,
 1061, 1101, 1034, -1, 1034, 1101, 1079, -1, 1034, 1079, 1006, -1,
 1026, 1061, 997, -1, 997, 1061, 1034, -1, 997, 1034, 977, -1,
 977, 1034, 1006, -1, 977, 1006, 966, -1, 1004, 1026, 982, -1,
 982, 1026, 997, -1, 982, 997, 974, -1, 974, 997, 977, -1,
 974, 977, 963, -1, 963, 977, 966, -1, 963, 966, 955, -1,
 1002, 1004, 987, -1, 987, 1004, 982, -1, 987, 982, 978, -1,
 978, 982, 974, -1, 978, 974, 968, -1, 968, 974, 963, -1,
 968, 963, 957, -1, 957, 963, 955, -1, 957, 955, 947, -1,
 1050, 1094, 1087, -1, 1164, 1087, 1184, -1, 1184, 1087, 1094, -1,
 1184, 1094, 1203, -1, 1203, 1094, 1146, -1, 1203, 1146, 1214, -1,
 1050, 1055, 1094, -1, 1094, 1055, 1099, -1, 1094, 1099, 1146, -1,
 1023, 1053, 1018, -1, 1018, 1053, 1050, -1, 1018, 1050, 1041, -1,
 1041, 1050, 1087, -1, 1041, 1087, 1071, -1, 1071, 1087, 1164, -1,
 1071, 1164, 1137, -1, 1005, 1014, 1002, -1, 1002, 1014, 1018, -1,
 1002, 1018, 1004, -1, 1004, 1018, 1041, -1, 1004, 1041, 1026, -1,
 1026, 1041, 1071, -1, 1026, 1071, 1061, -1, 1061, 1071, 1137, -1,
 1061, 1137, 1101, -1, 1015, 1020, 1019, -1, 947, 962, 957, -1,
 957, 962, 972, -1, 957, 972, 968, -1, 968, 972, 981, -1,
 968, 981, 978, -1, 978, 981, 1001, -1, 978, 1001, 987, -1,
 987, 1001, 1015, -1, 987, 1015, 1002, -1, 1002, 1015, 1019, -1,
 1002, 1019, 1005, -1, 954, 975, 962, -1, 962, 975, 993, -1,
 962, 993, 972, -1, 972, 993, 1022, -1, 972, 1022, 981, -1,
 981, 1022, 1037, -1, 981, 1037, 1001, -1, 1001, 1037, 1049, -1,
 1001, 1049, 1015, -1, 1015, 1049, 1051, -1, 1015, 1051, 1020, -1,
 964, 1031, 975, -1, 975, 1031, 1056, -1, 975, 1056, 993, -1,
 993, 1056, 1070, -1, 993, 1070, 1022, -1, 1022, 1070, 1080, -1,
 1022, 1080, 1037, -1, 1037, 1080, 1090, -1, 1037, 1090, 1049, -1,
 1049, 1090, 1093, -1, 1049, 1093, 1067, -1, 1192, 1195, 1183, -1,
 1000, 1096, 1031, -1, 1031, 1096, 1127, -1, 1031, 1127, 1056, -1,
 1056, 1127, 1153, -1, 1056, 1153, 1070, -1, 1070, 1153, 1174, -1,
 1070, 1174, 1080, -1, 1080, 1174, 1192, -1, 1080, 1192, 1090, -1,
 1090, 1192, 1183, -1, 1090, 1183, 1093, -1, 1077, 1264, 1096, -1,
 1096, 1264, 1319, -1, 1096, 1319, 1127, -1, 1127, 1319, 1365, -1,
 1127, 1365, 1153, -1, 1153, 1365, 1397, -1, 1153, 1397, 1174, -1,
 1174, 1397, 1419, -1, 1174, 1419, 1192, -1, 1192, 1419, 1434, -1,
 1192, 1434, 1195, -1, 1207, 1566, 1264, -1, 1264, 1566, 1607, -1,
 1264, 1607, 1319, -1, 1319, 1607, 1652, -1, 1319, 1652, 1365, -1,
 1365, 1652, 1683, -1, 1365, 1683, 1397, -1, 1397, 1683, 1719, -1,
 1397, 1719, 1419, -1, 1419, 1719, 1724, -1, 1419, 1724, 1521, -1,
 1874, 1876, 1858, -1, 1496, 1830, 1566, -1, 1566, 1830, 1841, -1,
 1566, 1841, 1607, -1, 1607, 1841, 1857, -1, 1607, 1857, 1652, -1,
 1652, 1857, 1870, -1, 1652, 1870, 1683, -1, 1683, 1870, 1874, -1,
 1683, 1874, 1719, -1, 1719, 1874, 1858, -1, 1719, 1858, 1724, -1,
 1798, 1941, 1830, -1, 1830, 1941, 1948, -1, 1830, 1948, 1841, -1,
 1841, 1948, 1959, -1, 1841, 1959, 1857, -1, 1857, 1959, 1962, -1,
 1857, 1962, 1870, -1, 1870, 1962, 1974, -1, 1870, 1974, 1874, -1,
 1874, 1974, 1976, -1, 1874, 1976, 1876, -1, 1937, 2071, 1941, -1,
 1941, 2071, 2075, -1, 1941, 2075, 1948, -1, 1948, 2075, 2083, -1,
 1948, 2083, 1959, -1, 1959, 2083, 2090, -1, 1959, 2090, 1962, -1,
 1962, 2090, 2092, -1, 1962, 2092, 1974, -1, 1974, 2092, 2093, -1,
 1974, 2093, 2022, -1, 2187, 2189, 2154, -1, 2061, 2158, 2071, -1,
 2071, 2158, 2169, -1, 2071, 2169, 2075, -1, 2075, 2169, 2177, -1,
 2075, 2177, 2083, -1, 2083, 2177, 2180, -1, 2083, 2180, 2090, -1,
 2090, 2180, 2187, -1, 2090, 2187, 2092, -1, 2092, 2187, 2154, -1,
 2092, 2154, 2093, -1, 2152, 2252, 2158, -1, 2158, 2252, 2262, -1,
 2158, 2262, 2169, -1, 2169, 2262, 2264, -1, 2169, 2264, 2177, -1,
 2177, 2264, 2270, -1, 2177, 2270, 2180, -1, 2180, 2270, 2274, -1,
 2180, 2274, 2187, -1, 2187, 2274, 2279, -1, 2187, 2279, 2189, -1,
 2241, 2368, 2252, -1, 2252, 2368, 2373, -1, 2252, 2373, 2262, -1,
 2262, 2373, 2378, -1, 2262, 2378, 2264, -1, 2264, 2378, 2387, -1,
 2264, 2387, 2270, -1, 2270, 2387, 2388, -1, 2270, 2388, 2274, -1,
 2274, 2388, 2389, -1, 2274, 2389, 2314, -1, 2478, 2477, 2423, -1,
 2363, 2482, 2368, -1, 2368, 2482, 2481, -1, 2368, 2481, 2373, -1,
 2373, 2481, 2480, -1, 2373, 2480, 2378, -1, 2378, 2480, 2479, -1,
 2378, 2479, 2387, -1, 2387, 2479, 2478, -1, 2387, 2478, 2388, -1,
 2388, 2478, 2423, -1, 2388, 2423, 2389, -1, 2483, 2556, 2482, -1,
 2482, 2556, 2555, -1, 2482, 2555, 2481, -1, 2481, 2555, 2554, -1,
 2481, 2554, 2480, -1, 2480, 2554, 2553, -1, 2480, 2553, 2479, -1,
 2479, 2553, 2552, -1, 2479, 2552, 2478, -1, 2478, 2552, 2551, -1,
 2478, 2551, 2477, -1, 2557, 2666, 2556, -1, 2556, 2666, 2665, -1,
 2556, 2665, 2555, -1, 2555, 2665, 2664, -1, 2555, 2664, 2554, -1,
 2554, 2664, 2663, -1, 2554, 2663, 2553, -1, 2553, 2663, 2662, -1,
 2553, 2662, 2552, -1, 2552, 2662, 2660, -1, 2552, 2660, 2559, -1,
 2743, 2742, 2688, -1, 2668, 2753, 2666, -1, 2666, 2753, 2751, -1,
 2666, 2751, 2665, -1, 2665, 2751, 2748, -1, 2665, 2748, 2664, -1,
 2664, 2748, 2746, -1, 2664, 2746, 2663, -1, 2663, 2746, 2743, -1,
 2663, 2743, 2662, -1, 2662, 2743, 2688, -1, 2662, 2688, 2660, -1,
 2754, 2848, 2753, -1, 2753, 2848, 2840, -1, 2753, 2840, 2751, -1,
 2751, 2840, 2828, -1, 2751, 2828, 2748, -1, 2748, 2828, 2825, -1,
 2748, 2825, 2746, -1, 2746, 2825, 2821, -1, 2746, 2821, 2743, -1,
 2743, 2821, 2815, -1, 2743, 2815, 2742, -1, 2859, 2961, 2848, -1,
 2848, 2961, 2956, -1, 2848, 2956, 2840, -1, 2840, 2956, 2952, -1,
 2840, 2952, 2828, -1, 2828, 2952, 2946, -1, 2828, 2946, 2825, -1,
 2825, 2946, 2943, -1, 2825, 2943, 2821, -1, 2821, 2943, 2938, -1,
 2821, 2938, 2839, -1, 3048, 3045, 3005, -1, 2971, 3123, 2961, -1,
 2961, 3123, 3087, -1, 2961, 3087, 2956, -1, 2956, 3087, 3058, -1,
 2956, 3058, 2952, -1, 2952, 3058, 3055, -1, 2952, 3055, 2946, -1,
 2946, 3055, 3048, -1, 2946, 3048, 2943, -1, 2943, 3048, 3005, -1,
 2943, 3005, 2938, -1, 3587, 3583, 3576, -1, 3683, 3682, 3691, -1,
 3682, 3683, 3677, -1, 3677, 3683, 3671, -1, 3677, 3671, 3669, -1,
 3602, 3612, 3587, -1, 3672, 3684, 3699, -1, 3699, 3684, 3707, -1,
 3699, 3673, 3672, -1, 3672, 3673, 3665, -1, 3672, 3665, 3632, -1,
 3632, 3665, 3634, -1, 3632, 3634, 3602, -1, 3602, 3634, 3627, -1,
 3602, 3627, 3612, -1, 3577, 3572, 3574, -1, 3574, 3572, 3567, -1,
 3577, 3597, 3572, -1, 3572, 3597, 3608, -1, 3572, 3608, 3630, -1,
 3608, 3629, 3630, -1, 3630, 3629, 3657, -1, 3630, 3657, 3671, -1,
 3671, 3657, 3663, -1, 3671, 3663, 3669, -1, 3587, 3576, 3602, -1,
 3602, 3576, 3572, -1, 3602, 3572, 3632, -1, 3632, 3572, 3630, -1,
 3632, 3630, 3672, -1, 3672, 3630, 3671, -1, 3672, 3671, 3684, -1,
 3684, 3671, 3683, -1, 3684, 3683, 3707, -1, 3691, 3707, 3683, -1,
 3526, 3509, 3524, -1, 3537, 3509, 3526, -1, 3524, 3530, 3540, -1,
 3540, 3530, 3531, -1, 3557, 3572, 3561, -1, 3561, 3572, 3576, -1,
 3561, 3576, 3575, -1, 3575, 3576, 3583, -1, 3531, 3538, 3540, -1,
 3540, 3538, 3551, -1, 3540, 3551, 3557, -1, 3557, 3551, 3553, -1,
 3557, 3553, 3572, -1, 3572, 3553, 3560, -1, 3572, 3560, 3567, -1,
 3524, 3540, 3526, -1, 3526, 3540, 3542, -1, 3526, 3542, 3537, -1,
 3575, 3564, 3561, -1, 3561, 3564, 3562, -1, 3561, 3562, 3557, -1,
 3557, 3562, 3559, -1, 3557, 3559, 3540, -1, 3540, 3559, 3544, -1,
 3540, 3544, 3542, -1, 1100, 1092, 1116, -1, 1253, 1303, 1235, -1,
 1235, 1303, 1274, -1, 1235, 1274, 1215, -1, 1215, 1274, 1245, -1,
 1215, 1245, 1181, -1, 1181, 1245, 1206, -1, 1181, 1206, 1152, -1,
 1152, 1206, 1168, -1, 1152, 1168, 1116, -1, 1116, 1168, 1142, -1,
 1116, 1142, 1100, -1, 1100, 1142, 1102, -1, 1214, 1253, 1203, -1,
 1203, 1253, 1235, -1, 1203, 1235, 1184, -1, 1184, 1235, 1215, -1,
 1184, 1215, 1164, -1, 1164, 1215, 1181, -1, 1164, 1181, 1137, -1,
 1137, 1181, 1152, -1, 1137, 1152, 1101, -1, 1101, 1152, 1116, -1,
 1101, 1116, 1079, -1, 1079, 1116, 1092, -1, 3618, 3596, 3554, -1,
 3559, 3562, 3563, -1, 3563, 3562, 3564, -1, 3563, 3564, 3591, -1,
 3591, 3564, 3575, -1, 3570, 3537, 3542, -1, 3542, 3544, 3570, -1,
 3570, 3544, 3559, -1, 3570, 3559, 3607, -1, 3680, 3665, 3673, -1,
 3680, 3673, 3733, -1, 3733, 3673, 3699, -1, 3733, 3699, 3707, -1,
 3665, 3680, 3634, -1, 3634, 3680, 3631, -1, 3634, 3631, 3627, -1,
 3575, 3583, 3591, -1, 3591, 3583, 3587, -1, 3591, 3587, 3631, -1,
 3631, 3587, 3612, -1, 3631, 3612, 3627, -1, 3559, 3563, 3607, -1,
 3607, 3563, 3591, -1, 3607, 3591, 3649, -1, 3649, 3591, 3631, -1,
 3649, 3631, 3708, -1, 3708, 3631, 3680, -1, 3708, 3680, 3764, -1,
 3764, 3680, 3733, -1, 3764, 3733, 3773, -1, 3773, 3794, 3764, -1,
 3764, 3794, 3798, -1, 3764, 3798, 3818, -1, 3509, 3537, 3554, -1,
 3554, 3537, 3570, -1, 3554, 3570, 3618, -1, 3618, 3570, 3607, -1,
 3618, 3607, 3655, -1, 3655, 3607, 3649, -1, 3655, 3649, 3706, -1,
 3706, 3649, 3708, -1, 3706, 3708, 3761, -1, 3761, 3708, 3764, -1,
 3761, 3764, 3797, -1, 3797, 3764, 3818, -1, 3797, 3818, 3827, -1,
 3637, 3596, 3668, -1, 3668, 3596, 3618, -1, 3668, 3618, 3700, -1,
 3700, 3618, 3655, -1, 3700, 3655, 3747, -1, 3747, 3655, 3706, -1,
 3747, 3706, 3795, -1, 3795, 3706, 3761, -1, 3795, 3761, 3819, -1,
 3819, 3761, 3797, -1, 3819, 3797, 3860, -1, 3860, 3797, 3827, -1,
 1322, 1341, 1381, -1, 1420, 1402, 1363, -1, 1388, 1375, 1372, -1,
 1363, 1402, 1330, -1, 1330, 1402, 1394, -1, 1330, 1394, 1388, -1,
 1239, 1216, 1269, -1, 1269, 1216, 1262, -1, 1269, 1262, 1275, -1,
 1275, 1262, 1305, -1, 1305, 1262, 1309, -1, 1305, 1309, 1313, -1,
 1375, 1373, 1372, -1, 1372, 1373, 1371, -1, 1372, 1371, 1346, -1,
 1346, 1371, 1351, -1, 1346, 1351, 1309, -1, 1309, 1351, 1327, -1,
 1309, 1327, 1313, -1, 1388, 1372, 1330, -1, 1330, 1372, 1346, -1,
 1330, 1346, 1291, -1, 1291, 1346, 1309, -1, 1291, 1309, 1238, -1,
 1238, 1309, 1262, -1, 1238, 1262, 1194, -1, 1194, 1262, 1216, -1,
 1194, 1216, 1191, -1, 1191, 1169, 1194, -1, 1194, 1169, 1165, -1,
 1194, 1165, 1143, -1, 1430, 1420, 1381, -1, 1381, 1420, 1363, -1,
 1381, 1363, 1322, -1, 1322, 1363, 1330, -1, 1322, 1330, 1285, -1,
 1285, 1330, 1291, -1, 1285, 1291, 1240, -1, 1240, 1291, 1238, -1,
 1240, 1238, 1196, -1, 1196, 1238, 1194, -1, 1196, 1194, 1166, -1,
 1166, 1194, 1143, -1, 1166, 1143, 1134, -1, 1303, 1341, 1274, -1,
 1274, 1341, 1322, -1, 1274, 1322, 1245, -1, 1245, 1322, 1285, -1,
 1245, 1285, 1206, -1, 1206, 1285, 1240, -1, 1206, 1240, 1168, -1,
 1168, 1240, 1196, -1, 1168, 1196, 1142, -1, 1142, 1196, 1166, -1,
 1142, 1166, 1102, -1, 1102, 1166, 1134, -1, 1327, 1351, 1358, -1,
 1313, 1327, 1335, -1, 1265, 1260, 1259, -1, 1259, 1260, 1252, -1,
 1259, 1252, 1239, -1, 1239, 1258, 1259, -1, 1259, 1258, 1271, -1,
 1259, 1271, 1265, -1, 1265, 1271, 1273, -1, 1313, 1335, 1305, -1,
 1305, 1335, 1308, -1, 1305, 1308, 1275, -1, 1275, 1308, 1270, -1,
 1275, 1270, 1269, -1, 1367, 1359, 1361, -1, 1361, 1359, 1357, -1,
 1361, 1357, 1340, -1, 1329, 1311, 1310, -1, 1310, 1311, 1283, -1,
 1310, 1283, 1271, -1, 1271, 1283, 1277, -1, 1271, 1277, 1273, -1,
 1327, 1358, 1335, -1, 1335, 1358, 1361, -1, 1335, 1361, 1308, -1,
 1239, 1269, 1258, -1, 1258, 1269, 1270, -1, 1258, 1270, 1271, -1,
 1271, 1270, 1308, -1, 1271, 1308, 1310, -1, 1310, 1308, 1361, -1,
 1310, 1361, 1329, -1, 1329, 1361, 1340, -1, 3692, 3690, 3711, -1,
 3863, 3871, 3845, -1, 3690, 3637, 3711, -1, 3711, 3637, 3668, -1,
 3711, 3668, 3735, -1, 3735, 3668, 3700, -1, 3735, 3700, 3782, -1,
 3782, 3700, 3747, -1, 3782, 3747, 3811, -1, 3811, 3747, 3795, -1,
 3811, 3795, 3845, -1, 3845, 3795, 3819, -1, 3845, 3819, 3863, -1,
 3863, 3819, 3860, -1, 3736, 3692, 3750, -1, 3750, 3692, 3711, -1,
 3750, 3711, 3780, -1, 3780, 3711, 3735, -1, 3780, 3735, 3799, -1,
 3799, 3735, 3782, -1, 3799, 3782, 3824, -1, 3824, 3782, 3811, -1,
 3824, 3811, 3862, -1, 3862, 3811, 3845, -1, 3862, 3845, 3886, -1,
 3886, 3845, 3871, -1, 1382, 1367, 1361, -1, 1358, 1374, 1361, -1,
 1361, 1374, 1377, -1, 1361, 1377, 1382, -1, 1409, 1396, 1414, -1,
 1414, 1396, 1412, -1, 1414, 1412, 1418, -1, 1418, 1412, 1430, -1,
 1409, 1401, 1396, -1, 1396, 1401, 1398, -1, 1396, 1398, 1377, -1,
 1377, 1398, 1385, -1, 1377, 1385, 1382, -1, 1388, 1394, 1396, -1,
 1396, 1394, 1402, -1, 1396, 1402, 1412, -1, 1412, 1402, 1420, -1,
 1412, 1420, 1430, -1, 1388, 1396, 1375, -1, 1375, 1396, 1377, -1,
 1375, 1377, 1373, -1, 1373, 1377, 1374, -1, 1373, 1374, 1371, -1,
 1371, 1374, 1358, -1, 1371, 1358, 1351, -1, 2129, 2161, 2160, -1,
 2413, 2437, 2436, -1, 3928, 3907, 3911, -1, 2745, 2650, 2643, -1,
 1926, 1781, 1796, -1, 2048, 1926, 1936, -1, 2146, 2048, 2058, -1,
 2233, 2146, 2148, -1, 2348, 2233, 2235, -1, 3955, 3888, 3867, -1,
 3867, 3888, 3679, -1, 3867, 3679, 3621, -1, 2661, 2650, 2749, -1,
 2749, 2650, 2745, -1, 2749, 2745, 2842, -1, 3991, 3955, 3927, -1,
 3927, 3955, 3867, -1, 3927, 3867, 3834, -1, 3834, 3867, 3621, -1,
 3834, 3621, 3568, -1, 2527, 2643, 2532, -1, 2532, 2643, 2650, -1,
 2532, 2650, 2537, -1, 2537, 2650, 2661, -1, 2537, 2661, 2542, -1,
 3893, 3799, 3824, -1, 4001, 3991, 3980, -1, 3980, 3991, 3927, -1,
 3980, 3927, 3906, -1, 3906, 3927, 3834, -1, 3906, 3834, 3810, -1,
 3810, 3834, 3568, -1, 3810, 3568, 3541, -1, 2435, 2527, 2434, -1,
 2434, 2527, 2532, -1, 2434, 2532, 2433, -1, 2433, 2532, 2537, -1,
 2433, 2537, 2432, -1, 2432, 2537, 2542, -1, 2432, 2542, 2431, -1,
 4007, 4001, 3993, -1, 3993, 4001, 3980, -1, 3993, 3980, 3962, -1,
 3962, 3980, 3906, -1, 3962, 3906, 3894, -1, 3894, 3906, 3810, -1,
 3894, 3810, 3790, -1, 3790, 3810, 3541, -1, 3790, 3541, 3519, -1,
 3036, 3250, 3280, -1, 2353, 2435, 2352, -1, 2352, 2435, 2434, -1,
 2352, 2434, 2351, -1, 2351, 2434, 2433, -1, 2351, 2433, 2350, -1,
 2350, 2433, 2432, -1, 2350, 2432, 2349, -1, 2349, 2432, 2431, -1,
 2349, 2431, 2348, -1, 3911, 3869, 3877, -1, 3953, 3937, 3951, -1,
 3951, 3937, 3920, -1, 3951, 3920, 3931, -1, 3931, 3920, 3893, -1,
 3931, 3893, 3903, -1, 3903, 3893, 3824, -1, 3903, 3824, 3862, -1,
 3949, 3989, 3978, -1, 3978, 3989, 3992, -1, 3978, 3992, 3981, -1,
 3981, 3992, 3987, -1, 3981, 3987, 3977, -1, 3977, 3987, 3974, -1,
 3977, 3974, 3954, -1, 3954, 3974, 3923, -1, 3954, 3923, 3912, -1,
 3912, 3923, 3874, -1, 3208, 3250, 3031, -1, 3031, 3250, 3036, -1,
 3031, 3036, 2923, -1, 2792, 2804, 2805, -1, 2805, 2804, 2923, -1,
 2805, 2923, 2933, -1, 2933, 2923, 3036, -1, 2933, 3036, 3046, -1,
 3046, 3036, 3280, -1, 3046, 3280, 3327, -1, 3745, 3441, 3371, -1,
 3371, 3441, 3078, -1, 3371, 3078, 3056, -1, 3056, 3078, 2947, -1,
 3056, 2947, 2936, -1, 2936, 2947, 2814, -1, 2936, 2814, 2807, -1,
 2807, 2814, 2725, -1, 2807, 2725, 2719, -1, 2719, 2725, 2630, -1,
 3441, 3121, 3078, -1, 3078, 3121, 2954, -1, 3078, 2954, 2947, -1,
 2947, 2954, 2822, -1, 2947, 2822, 2814, -1, 2814, 2822, 2726, -1,
 2814, 2726, 2725, -1, 2725, 2726, 2635, -1, 2725, 2635, 2630, -1,
 2630, 2635, 2517, -1, 2630, 2517, 2516, -1, 2516, 2517, 2515, -1,
 3799, 3877, 3780, -1, 3780, 3877, 3869, -1, 3780, 3869, 3750, -1,
 3750, 3869, 3864, -1, 3750, 3864, 3736, -1, 3911, 3907, 3869, -1,
 3869, 3907, 3879, -1, 3869, 3879, 3864, -1, 3799, 3893, 3877, -1,
 3877, 3893, 3920, -1, 3877, 3920, 3911, -1, 3911, 3920, 3937, -1,
 3911, 3937, 3928, -1, 3917, 3936, 3940, -1, 3940, 3936, 3953, -1,
 3940, 3953, 3968, -1, 3968, 3953, 3951, -1, 3968, 3951, 3973, -1,
 3973, 3951, 3931, -1, 3973, 3931, 3958, -1, 3958, 3931, 3903, -1,
 3958, 3903, 3924, -1, 3924, 3903, 3862, -1, 3924, 3862, 3886, -1,
 3936, 3946, 3953, -1, 3953, 3946, 3950, -1, 3953, 3950, 3937, -1,
 3937, 3950, 3934, -1, 3937, 3934, 3928, -1, 3886, 3949, 3924, -1,
 3924, 3949, 3978, -1, 3924, 3978, 3958, -1, 3958, 3978, 3981, -1,
 3958, 3981, 3973, -1, 3973, 3981, 3977, -1, 3973, 3977, 3968, -1,
 3968, 3977, 3954, -1, 3968, 3954, 3940, -1, 3940, 3954, 3912, -1,
 3940, 3912, 3917, -1, 3589, 3762, 3772, -1, 3772, 3762, 3874, -1,
 3772, 3874, 3885, -1, 3885, 3874, 3923, -1, 3885, 3923, 3935, -1,
 3935, 3923, 3974, -1, 3935, 3974, 3983, -1, 3983, 3974, 3987, -1,
 3983, 3987, 3998, -1, 3998, 3987, 3992, -1, 3998, 3992, 4000, -1,
 4000, 3992, 3989, -1, 3762, 3861, 3874, -1, 3874, 3861, 3870, -1,
 3874, 3870, 3912, -1, 3912, 3870, 3910, -1, 3912, 3910, 3917, -1,
 3505, 3589, 3519, -1, 3519, 3589, 3772, -1, 3519, 3772, 3790, -1,
 3790, 3772, 3885, -1, 3790, 3885, 3894, -1, 3894, 3885, 3935, -1,
 3894, 3935, 3962, -1, 3962, 3935, 3983, -1, 3962, 3983, 3993, -1,
 3993, 3983, 3998, -1, 3993, 3998, 4007, -1, 4007, 3998, 4000, -1,
 3679, 3327, 3621, -1, 3621, 3327, 3280, -1, 3621, 3280, 3568, -1,
 3568, 3280, 3250, -1, 3568, 3250, 3541, -1, 3541, 3250, 3208, -1,
 3541, 3208, 3519, -1, 3519, 3208, 3202, -1, 3519, 3202, 3505, -1,
 2804, 2921, 2923, -1, 2923, 2921, 2959, -1, 2923, 2959, 3031, -1,
 3031, 2959, 3028, -1, 3031, 3028, 3208, -1, 3208, 3028, 3170, -1,
 3208, 3170, 3202, -1, 3888, 3745, 3679, -1, 3679, 3745, 3371, -1,
 3679, 3371, 3327, -1, 3327, 3371, 3056, -1, 3327, 3056, 3046, -1,
 3046, 3056, 2936, -1, 3046, 2936, 2933, -1, 2933, 2936, 2807, -1,
 2933, 2807, 2805, -1, 2805, 2807, 2719, -1, 2805, 2719, 2792, -1,
 2516, 2625, 2630, -1, 2630, 2625, 2674, -1, 2630, 2674, 2719, -1,
 2719, 2674, 2718, -1, 2719, 2718, 2792, -1, 2437, 2515, 2436, -1,
 2436, 2515, 2517, -1, 2436, 2517, 2518, -1, 2518, 2517, 2635, -1,
 2518, 2635, 2640, -1, 2640, 2635, 2726, -1, 2640, 2726, 2735, -1,
 2735, 2726, 2822, -1, 2735, 2822, 2827, -1, 2827, 2822, 2954, -1,
 2827, 2954, 2960, -1, 2960, 2954, 3121, -1, 2960, 2842, 2827, -1,
 2827, 2842, 2745, -1, 2827, 2745, 2735, -1, 2735, 2745, 2643, -1,
 2735, 2643, 2640, -1, 2640, 2643, 2527, -1, 2640, 2527, 2518, -1,
 2518, 2527, 2435, -1, 2518, 2435, 2436, -1, 2436, 2435, 2353, -1,
 2436, 2353, 2413, -1, 2413, 2353, 2354, -1, 2240, 2242, 2254, -1,
 2348, 2235, 2349, -1, 2349, 2235, 2236, -1, 2349, 2236, 2350, -1,
 2350, 2236, 2238, -1, 2350, 2238, 2351, -1, 2351, 2238, 2239, -1,
 2351, 2239, 2352, -1, 2352, 2239, 2240, -1, 2352, 2240, 2353, -1,
 2353, 2240, 2254, -1, 2353, 2254, 2354, -1, 2233, 2148, 2235, -1,
 2235, 2148, 2150, -1, 2235, 2150, 2236, -1, 2236, 2150, 2153, -1,
 2236, 2153, 2238, -1, 2238, 2153, 2157, -1, 2238, 2157, 2239, -1,
 2239, 2157, 2160, -1, 2239, 2160, 2240, -1, 2240, 2160, 2161, -1,
 2240, 2161, 2242, -1, 2146, 2058, 2148, -1, 2148, 2058, 2063, -1,
 2148, 2063, 2150, -1, 2150, 2063, 2070, -1, 2150, 2070, 2153, -1,
 2153, 2070, 2072, -1, 2153, 2072, 2157, -1, 2157, 2072, 2076, -1,
 2157, 2076, 2160, -1, 2160, 2076, 2082, -1, 2160, 2082, 2129, -1,
 1952, 1957, 1965, -1, 2048, 1936, 2058, -1, 2058, 1936, 1939, -1,
 2058, 1939, 2063, -1, 2063, 1939, 1943, -1, 2063, 1943, 2070, -1,
 2070, 1943, 1949, -1, 2070, 1949, 2072, -1, 2072, 1949, 1952, -1,
 2072, 1952, 2076, -1, 2076, 1952, 1965, -1, 2076, 1965, 2082, -1,
 1926, 1796, 1936, -1, 1936, 1796, 1824, -1, 1936, 1824, 1939, -1,
 1939, 1824, 1839, -1, 1939, 1839, 1943, -1, 1943, 1839, 1844, -1,
 1943, 1844, 1949, -1, 1949, 1844, 1855, -1, 1949, 1855, 1952, -1,
 1952, 1855, 1860, -1, 1952, 1860, 1957, -1, 1418, 1430, 1437, -1,
 1712, 1714, 1670, -1, 1718, 1711, 1672, -1, 1694, 1678, 1707, -1,
 1707, 1678, 1669, -1, 1707, 1669, 1711, -1, 1718, 1672, 1716, -1,
 1701, 1708, 1662, -1, 1662, 1708, 1712, -1, 1398, 1401, 1415, -1,
 1415, 1401, 1409, -1, 1415, 1409, 1414, -1, 1385, 1395, 1382, -1,
 1382, 1395, 1367, -1, 1711, 1669, 1672, -1, 1672, 1669, 1632, -1,
 1672, 1632, 1608, -1, 1632, 1609, 1608, -1, 1608, 1609, 1603, -1,
 1608, 1603, 1597, -1, 1603, 1598, 1597, -1, 1597, 1598, 1582, -1,
 1597, 1582, 1559, -1, 1559, 1582, 1576, -1, 1559, 1576, 1568, -1,
 1568, 1558, 1559, -1, 1559, 1558, 1545, -1, 1559, 1545, 1527, -1,
 1545, 1537, 1527, -1, 1527, 1537, 1524, -1, 1527, 1524, 1463, -1,
 1463, 1524, 1497, -1, 1712, 1670, 1662, -1, 1662, 1670, 1606, -1,
 1662, 1606, 1605, -1, 1605, 1606, 1595, -1, 1605, 1595, 1594, -1,
 1594, 1595, 1560, -1, 1594, 1560, 1561, -1, 1561, 1560, 1530, -1,
 1561, 1530, 1535, -1, 1535, 1530, 1469, -1, 1535, 1469, 1474, -1,
 1497, 1472, 1463, -1, 1463, 1472, 1457, -1, 1463, 1457, 1395, -1,
 1395, 1457, 1413, -1, 1395, 1413, 1367, -1, 1385, 1398, 1395, -1,
 1395, 1398, 1415, -1, 1395, 1415, 1463, -1, 1463, 1415, 1469, -1,
 1463, 1469, 1527, -1, 1527, 1469, 1530, -1, 1527, 1530, 1559, -1,
 1559, 1530, 1560, -1, 1559, 1560, 1597, -1, 1597, 1560, 1595, -1,
 1597, 1595, 1608, -1, 1608, 1595, 1606, -1, 1608, 1606, 1672, -1,
 1672, 1606, 1670, -1, 1672, 1670, 1716, -1, 1716, 1670, 1714, -1,
 1474, 1469, 1438, -1, 1438, 1469, 1415, -1, 1438, 1415, 1437, -1,
 1437, 1415, 1414, -1, 1437, 1414, 1418, -1, 1777, 1757, 1747, -1,
 1786, 1817, 1816, -1, 1764, 1786, 1788, -1, 1740, 1764, 1770, -1,
 1741, 1739, 1750, -1, 1741, 1750, 1745, -1, 1745, 1750, 1751, -1,
 1745, 1751, 1744, -1, 1749, 1736, 1751, -1, 1751, 1736, 1743, -1,
 1751, 1743, 1744, -1, 1737, 1728, 1749, -1, 1749, 1728, 1732, -1,
 1749, 1732, 1736, -1, 1699, 1685, 1737, -1, 1737, 1685, 1695, -1,
 1695, 1710, 1737, -1, 1737, 1710, 1717, -1, 1737, 1717, 1728, -1,
 1739, 1735, 1750, -1, 1750, 1735, 1734, -1, 1750, 1734, 1740, -1,
 1740, 1734, 1726, -1, 1740, 1726, 1701, -1, 1756, 1727, 1715, -1,
 1740, 1770, 1750, -1, 1750, 1770, 1769, -1, 1750, 1769, 1751, -1,
 1751, 1769, 1761, -1, 1751, 1761, 1749, -1, 1749, 1761, 1756, -1,
 1749, 1756, 1737, -1, 1737, 1756, 1715, -1, 1737, 1715, 1699, -1,
 1760, 1746, 1730, -1, 1764, 1788, 1770, -1, 1770, 1788, 1784, -1,
 1770, 1784, 1769, -1, 1769, 1784, 1778, -1, 1769, 1778, 1761, -1,
 1761, 1778, 1760, -1, 1761, 1760, 1756, -1, 1756, 1760, 1730, -1,
 1756, 1730, 1727, -1, 1786, 1816, 1788, -1, 1788, 1816, 1799, -1,
 1788, 1799, 1784, -1, 1784, 1799, 1789, -1, 1784, 1789, 1778, -1,
 1778, 1789, 1777, -1, 1778, 1777, 1760, -1, 1760, 1777, 1747, -1,
 1760, 1747, 1746, -1, 1701, 1706, 1740, -1, 1740, 1706, 1758, -1,
 1740, 1758, 1764, -1, 1764, 1758, 1780, -1, 1764, 1780, 1786, -1,
 1786, 1780, 1806, -1, 1786, 1806, 1817, -1, 1817, 1806, 1807, -1,
 1817, 1807, 1837, -1, 1787, 1763, 1759, -1, 1837, 1838, 1817, -1,
 1817, 1838, 1835, -1, 1817, 1835, 1816, -1, 1816, 1835, 1823, -1,
 1816, 1823, 1799, -1, 1799, 1823, 1804, -1, 1799, 1804, 1789, -1,
 1789, 1804, 1787, -1, 1789, 1787, 1777, -1, 1777, 1787, 1759, -1,
 1777, 1759, 1757, -1, 1781, 1763, 1796, -1, 1796, 1763, 1787, -1,
 1796, 1787, 1824, -1, 1824, 1787, 1804, -1, 1824, 1804, 1839, -1,
 1839, 1804, 1823, -1, 1839, 1823, 1844, -1, 1844, 1823, 1835, -1,
 1844, 1835, 1855, -1, 1855, 1835, 1838, -1, 1855, 1838, 1860, -1,
 1860, 1838, 1837, -1, 1738, 1733, 1729, -1, 1729, 1733, 1722, -1,
 1729, 1722, 1694, -1, 1725, 1716, 1714, -1, 1701, 1726, 1720, -1,
 1720, 1726, 1725, -1, 1726, 1734, 1725, -1, 1725, 1734, 1735, -1,
 1725, 1735, 1729, -1, 1729, 1735, 1739, -1, 1729, 1739, 1738, -1,
 1738, 1739, 1741, -1, 1738, 1741, 1733, -1, 1733, 1741, 1745, -1,
 1733, 1745, 1744, -1, 1708, 1701, 1720, -1, 1725, 1714, 1720, -1,
 1720, 1714, 1712, -1, 1720, 1712, 1708, -1, 1694, 1707, 1729, -1,
 1729, 1707, 1711, -1, 1729, 1711, 1725, -1, 1725, 1711, 1718, -1,
 1725, 1718, 1716, -1, 1705, 1704, 1721, -1, 1697, 1694, 1722, -1,
 1709, 1710, 1695, -1, 1731, 1723, 1721, -1, 1721, 1723, 1709, -1,
 1721, 1709, 1703, -1, 1703, 1709, 1691, -1, 1685, 1686, 1691, -1,
 1691, 1686, 1688, -1, 1691, 1688, 1689, -1, 1709, 1695, 1691, -1,
 1691, 1695, 1685, -1, 1744, 1743, 1733, -1, 1733, 1743, 1731, -1,
 1733, 1731, 1722, -1, 1722, 1731, 1721, -1, 1743, 1736, 1731, -1,
 1731, 1736, 1732, -1, 1731, 1732, 1723, -1, 1723, 1732, 1728, -1,
 1723, 1728, 1709, -1, 1709, 1728, 1717, -1, 1709, 1717, 1710, -1,
 1721, 1704, 1722, -1, 1722, 1704, 1700, -1, 1722, 1700, 1697, -1,
 1689, 1690, 1691, -1, 1691, 1690, 1696, -1, 1691, 1696, 1703, -1,
 1703, 1696, 1698, -1, 1703, 1698, 1721, -1, 1721, 1698, 1702, -1,
 1721, 1702, 1705, -1, 3878, 3897, 3901, -1, 3919, 3916, 3918, -1,
 3590, 3527, 3536, -1, 2958, 2913, 2916, -1, 2514, 2507, 2508, -1,
 2255, 2231, 2230, -1, 1967, 1930, 1929, -1, 1145, 1126, 1115, -1,
 1013, 1007, 1003, -1, 1068, 1088, 1085, -1, 1859, 1875, 1873, -1,
 2155, 2209, 2208, -1, 2422, 2484, 2485, -1, 2841, 2858, 2860, -1,
 3850, 3599, 3549, -1, 3925, 3850, 3812, -1, 3984, 3925, 3904, -1,
 3999, 3984, 3971, -1, 4006, 3999, 3990, -1, 4003, 4006, 3997, -1,
 3994, 4003, 3995, -1, 3966, 3994, 3982, -1, 3895, 3966, 3933, -1,
 3766, 3895, 3875, -1, 3447, 3766, 3698, -1, 3122, 3447, 3386, -1,
 2957, 3122, 3079, -1, 2830, 2957, 2953, -1, 2736, 2830, 2823, -1,
 2631, 2736, 2727, -1, 2513, 2631, 2619, -1, 2415, 2513, 2512, -1,
 2340, 2415, 2416, -1, 2223, 2340, 2341, -1, 2124, 2223, 2224, -1,
 2000, 2124, 2127, -1, 1885, 2000, 2016, -1, 1668, 1885, 1895, -1,
 1338, 1668, 1742, -1, 1111, 1338, 1387, -1, 1033, 1111, 1151, -1,
 971, 1033, 1060, -1, 956, 971, 984, -1, 948, 956, 965, -1,
 951, 948, 958, -1, 961, 951, 960, -1, 989, 961, 973, -1,
 1069, 989, 1024, -1, 1193, 1069, 1089, -1, 1492, 1193, 1246, -1,
 1797, 1492, 1551, -1, 1938, 1797, 1829, -1, 2069, 1938, 1942, -1,
 2167, 2069, 2074, -1, 2273, 2167, 2176, -1, 2390, 2273, 2285, -1,
 2490, 2390, 2391, -1, 2579, 2490, 2489, -1, 2680, 2579, 2574, -1,
 2772, 2680, 2677, -1, 2898, 2772, 2771, -1, 3018, 2898, 2883, -1,
 3247, 3456, 3494, -1, 3335, 3318, 3494, -1, 3494, 3318, 3300, -1,
 3494, 3300, 3247, -1, 3335, 3494, 3357, -1, 3357, 3494, 3549, -1,
 3357, 3549, 3426, -1, 3426, 3549, 3599, -1, 3426, 3599, 3450, -1,
 3018, 3009, 3116, -1, 3116, 3009, 3099, -1, 3099, 3009, 3098, -1,
 3098, 3009, 2995, -1, 3098, 2995, 3095, -1, 3068, 3069, 2988, -1,
 2988, 3069, 3077, -1, 2988, 3077, 2995, -1, 2995, 3077, 3084, -1,
 2995, 3084, 3095, -1, 3068, 2988, 3063, -1, 3063, 2988, 2969, -1,
 3063, 2969, 3062, -1, 3072, 3067, 2969, -1, 2969, 3067, 3064, -1,
 2969, 3064, 3062, -1, 3006, 3112, 3111, -1, 3111, 3096, 3006, -1,
 3006, 3096, 3090, -1, 3006, 3090, 3086, -1, 2967, 3006, 2968, -1,
 2968, 3006, 3086, -1, 2968, 3086, 2969, -1, 2969, 3086, 3085, -1,
 2969, 3085, 3072, -1, 3301, 3385, 3397, -1, 3301, 3397, 3132, -1,
 3132, 3124, 3301, -1, 3301, 3124, 3114, -1, 3301, 3114, 3112, -1,
 3422, 3164, 3397, -1, 3397, 3164, 3154, -1, 3154, 3153, 3397, -1,
 3397, 3153, 3137, -1, 3397, 3137, 3132, -1, 3247, 3207, 3456, -1,
 3456, 3207, 3177, -1, 3456, 3177, 3422, -1, 3422, 3177, 3167, -1,
 3422, 3167, 3164, -1, 3018, 2883, 3009, -1, 3009, 2883, 2871, -1,
 3009, 2871, 2995, -1, 2995, 2871, 2869, -1, 2995, 2869, 2988, -1,
 2988, 2869, 2862, -1, 2988, 2862, 2969, -1, 2969, 2862, 2860, -1,
 2969, 2860, 2968, -1, 2968, 2860, 2858, -1, 2968, 2858, 2967, -1,
 2898, 2771, 2883, -1, 2883, 2771, 2769, -1, 2883, 2769, 2871, -1,
 2871, 2769, 2764, -1, 2871, 2764, 2869, -1, 2869, 2764, 2760, -1,
 2869, 2760, 2862, -1, 2862, 2760, 2758, -1, 2862, 2758, 2860, -1,
 2860, 2758, 2757, -1, 2860, 2757, 2841, -1, 2670, 2669, 2687, -1,
 2772, 2677, 2771, -1, 2771, 2677, 2676, -1, 2771, 2676, 2769, -1,
 2769, 2676, 2673, -1, 2769, 2673, 2764, -1, 2764, 2673, 2671, -1,
 2764, 2671, 2760, -1, 2760, 2671, 2670, -1, 2760, 2670, 2758, -1,
 2758, 2670, 2687, -1, 2758, 2687, 2757, -1, 2680, 2574, 2677, -1,
 2677, 2574, 2571, -1, 2677, 2571, 2676, -1, 2676, 2571, 2566, -1,
 2676, 2566, 2673, -1, 2673, 2566, 2563, -1, 2673, 2563, 2671, -1,
 2671, 2563, 2561, -1, 2671, 2561, 2670, -1, 2670, 2561, 2560, -1,
 2670, 2560, 2669, -1, 2579, 2489, 2574, -1, 2574, 2489, 2488, -1,
 2574, 2488, 2571, -1, 2571, 2488, 2487, -1, 2571, 2487, 2566, -1,
 2566, 2487, 2486, -1, 2566, 2486, 2563, -1, 2563, 2486, 2485, -1,
 2563, 2485, 2561, -1, 2561, 2485, 2484, -1, 2561, 2484, 2560, -1,
 2490, 2391, 2489, -1, 2489, 2391, 2392, -1, 2489, 2392, 2488, -1,
 2488, 2392, 2393, -1, 2488, 2393, 2487, -1, 2487, 2393, 2394, -1,
 2487, 2394, 2486, -1, 2486, 2394, 2395, -1, 2486, 2395, 2485, -1,
 2485, 2395, 2396, -1, 2485, 2396, 2422, -1, 2307, 2308, 2313, -1,
 2390, 2285, 2391, -1, 2391, 2285, 2296, -1, 2391, 2296, 2392, -1,
 2392, 2296, 2303, -1, 2392, 2303, 2393, -1, 2393, 2303, 2306, -1,
 2393, 2306, 2394, -1, 2394, 2306, 2307, -1, 2394, 2307, 2395, -1,
 2395, 2307, 2313, -1, 2395, 2313, 2396, -1, 2273, 2176, 2285, -1,
 2285, 2176, 2182, -1, 2285, 2182, 2296, -1, 2296, 2182, 2193, -1,
 2296, 2193, 2303, -1, 2303, 2193, 2201, -1, 2303, 2201, 2306, -1,
 2306, 2201, 2208, -1, 2306, 2208, 2307, -1, 2307, 2208, 2209, -1,
 2307, 2209, 2308, -1, 2167, 2074, 2176, -1, 2176, 2074, 2084, -1,
 2176, 2084, 2182, -1, 2182, 2084, 2091, -1, 2182, 2091, 2193, -1,
 2193, 2091, 2097, -1, 2193, 2097, 2201, -1, 2201, 2097, 2103, -1,
 2201, 2103, 2208, -1, 2208, 2103, 2104, -1, 2208, 2104, 2155, -1,
 1981, 1984, 2021, -1, 2069, 1942, 2074, -1, 2074, 1942, 1951, -1,
 2074, 1951, 2084, -1, 2084, 1951, 1961, -1, 2084, 1961, 2091, -1,
 2091, 1961, 1972, -1, 2091, 1972, 2097, -1, 2097, 1972, 1981, -1,
 2097, 1981, 2103, -1, 2103, 1981, 2021, -1, 2103, 2021, 2104, -1,
 1938, 1829, 1942, -1, 1942, 1829, 1840, -1, 1942, 1840, 1951, -1,
 1951, 1840, 1856, -1, 1951, 1856, 1961, -1, 1961, 1856, 1869, -1,
 1961, 1869, 1972, -1, 1972, 1869, 1873, -1, 1972, 1873, 1981, -1,
 1981, 1873, 1875, -1, 1981, 1875, 1984, -1, 1797, 1551, 1829, -1,
 1829, 1551, 1601, -1, 1829, 1601, 1840, -1, 1840, 1601, 1633, -1,
 1840, 1633, 1856, -1, 1856, 1633, 1671, -1, 1856, 1671, 1869, -1,
 1869, 1671, 1693, -1, 1869, 1693, 1873, -1, 1873, 1693, 1713, -1,
 1873, 1713, 1859, -1, 1403, 1411, 1522, -1, 1492, 1246, 1551, -1,
 1551, 1246, 1306, -1, 1551, 1306, 1601, -1, 1601, 1306, 1347, -1,
 1601, 1347, 1633, -1, 1633, 1347, 1379, -1, 1633, 1379, 1671, -1,
 1671, 1379, 1403, -1, 1671, 1403, 1693, -1, 1693, 1403, 1522, -1,
 1693, 1522, 1713, -1, 1193, 1089, 1246, -1, 1246, 1089, 1109, -1,
 1246, 1109, 1306, -1, 1306, 1109, 1144, -1, 1306, 1144, 1347, -1,
 1347, 1144, 1167, -1, 1347, 1167, 1379, -1, 1379, 1167, 1175, -1,
 1379, 1175, 1403, -1, 1403, 1175, 1182, -1, 1403, 1182, 1411, -1,
 1069, 1024, 1089, -1, 1089, 1024, 1048, -1, 1089, 1048, 1109, -1,
 1109, 1048, 1064, -1, 1109, 1064, 1144, -1, 1144, 1064, 1076, -1,
 1144, 1076, 1167, -1, 1167, 1076, 1085, -1, 1167, 1085, 1175, -1,
 1175, 1085, 1088, -1, 1175, 1088, 1182, -1, 989, 973, 1024, -1,
 1024, 973, 985, -1, 1024, 985, 1048, -1, 1048, 985, 1012, -1,
 1048, 1012, 1064, -1, 1064, 1012, 1032, -1, 1064, 1032, 1076, -1,
 1076, 1032, 1042, -1, 1076, 1042, 1085, -1, 1085, 1042, 1046, -1,
 1085, 1046, 1068, -1, 1009, 1016, 1021, -1, 961, 960, 973, -1,
 973, 960, 970, -1, 973, 970, 985, -1, 985, 970, 980, -1,
 985, 980, 1012, -1, 1012, 980, 994, -1, 1012, 994, 1032, -1,
 1032, 994, 1009, -1, 1032, 1009, 1042, -1, 1042, 1009, 1021, -1,
 1042, 1021, 1046, -1, 951, 958, 960, -1, 960, 958, 969, -1,
 960, 969, 970, -1, 970, 969, 979, -1, 970, 979, 980, -1,
 980, 979, 988, -1, 980, 988, 994, -1, 994, 988, 1003, -1,
 994, 1003, 1009, -1, 1009, 1003, 1007, -1, 1009, 1007, 1016, -1,
 948, 965, 958, -1, 958, 965, 976, -1, 958, 976, 969, -1,
 969, 976, 990, -1, 969, 990, 979, -1, 979, 990, 1011, -1,
 979, 1011, 988, -1, 988, 1011, 1025, -1, 988, 1025, 1003, -1,
 1003, 1025, 1028, -1, 1003, 1028, 1013, -1, 1062, 1065, 1058, -1,
 956, 984, 965, -1, 965, 984, 1017, -1, 965, 1017, 976, -1,
 976, 1017, 1038, -1, 976, 1038, 990, -1, 990, 1038, 1054, -1,
 990, 1054, 1011, -1, 1011, 1054, 1062, -1, 1011, 1062, 1025, -1,
 1025, 1062, 1058, -1, 1025, 1058, 1028, -1, 971, 1060, 984, -1,
 984, 1060, 1075, -1, 984, 1075, 1017, -1, 1017, 1075, 1091, -1,
 1017, 1091, 1038, -1, 1038, 1091, 1103, -1, 1038, 1103, 1054, -1,
 1054, 1103, 1115, -1, 1054, 1115, 1062, -1, 1062, 1115, 1126, -1,
 1062, 1126, 1065, -1, 1033, 1151, 1060, -1, 1060, 1151, 1180, -1,
 1060, 1180, 1075, -1, 1075, 1180, 1223, -1, 1075, 1223, 1091, -1,
 1091, 1223, 1256, -1, 1091, 1256, 1103, -1, 1103, 1256, 1276, -1,
 1103, 1276, 1115, -1, 1115, 1276, 1290, -1, 1115, 1290, 1145, -1,
 1540, 1552, 1443, -1, 1111, 1387, 1151, -1, 1151, 1387, 1446, -1,
 1151, 1446, 1180, -1, 1180, 1446, 1483, -1, 1180, 1483, 1223, -1,
 1223, 1483, 1515, -1, 1223, 1515, 1256, -1, 1256, 1515, 1540, -1,
 1256, 1540, 1276, -1, 1276, 1540, 1443, -1, 1276, 1443, 1290, -1,
 1338, 1742, 1387, -1, 1387, 1742, 1762, -1, 1387, 1762, 1446, -1,
 1446, 1762, 1783, -1, 1446, 1783, 1483, -1, 1483, 1783, 1795, -1,
 1483, 1795, 1515, -1, 1515, 1795, 1800, -1, 1515, 1800, 1540, -1,
 1540, 1800, 1805, -1, 1540, 1805, 1552, -1, 1668, 1895, 1742, -1,
 1742, 1895, 1904, -1, 1742, 1904, 1762, -1, 1762, 1904, 1909, -1,
 1762, 1909, 1783, -1, 1783, 1909, 1928, -1, 1783, 1928, 1795, -1,
 1795, 1928, 1929, -1, 1795, 1929, 1800, -1, 1800, 1929, 1930, -1,
 1800, 1930, 1805, -1, 1885, 2016, 1895, -1, 1895, 2016, 2028, -1,
 1895, 2028, 1904, -1, 1904, 2028, 2032, -1, 1904, 2032, 1909, -1,
 1909, 2032, 2043, -1, 1909, 2043, 1928, -1, 1928, 2043, 2047, -1,
 1928, 2047, 1929, -1, 1929, 2047, 2049, -1, 1929, 2049, 1967, -1,
 2142, 2143, 2128, -1, 2000, 2127, 2016, -1, 2016, 2127, 2132, -1,
 2016, 2132, 2028, -1, 2028, 2132, 2137, -1, 2028, 2137, 2032, -1,
 2032, 2137, 2139, -1, 2032, 2139, 2043, -1, 2043, 2139, 2142, -1,
 2043, 2142, 2047, -1, 2047, 2142, 2128, -1, 2047, 2128, 2049, -1,
 2124, 2224, 2127, -1, 2127, 2224, 2225, -1, 2127, 2225, 2132, -1,
 2132, 2225, 2227, -1, 2132, 2227, 2137, -1, 2137, 2227, 2229, -1,
 2137, 2229, 2139, -1, 2139, 2229, 2230, -1, 2139, 2230, 2142, -1,
 2142, 2230, 2231, -1, 2142, 2231, 2143, -1, 2223, 2341, 2224, -1,
 2224, 2341, 2342, -1, 2224, 2342, 2225, -1, 2225, 2342, 2343, -1,
 2225, 2343, 2227, -1, 2227, 2343, 2345, -1, 2227, 2345, 2229, -1,
 2229, 2345, 2346, -1, 2229, 2346, 2230, -1, 2230, 2346, 2347, -1,
 2230, 2347, 2255, -1, 2420, 2421, 2414, -1, 2340, 2416, 2341, -1,
 2341, 2416, 2417, -1, 2341, 2417, 2342, -1, 2342, 2417, 2418, -1,
 2342, 2418, 2343, -1, 2343, 2418, 2419, -1, 2343, 2419, 2345, -1,
 2345, 2419, 2420, -1, 2345, 2420, 2346, -1, 2346, 2420, 2414, -1,
 2346, 2414, 2347, -1, 2415, 2512, 2416, -1, 2416, 2512, 2511, -1,
 2416, 2511, 2417, -1, 2417, 2511, 2510, -1, 2417, 2510, 2418, -1,
 2418, 2510, 2509, -1, 2418, 2509, 2419, -1, 2419, 2509, 2508, -1,
 2419, 2508, 2420, -1, 2420, 2508, 2507, -1, 2420, 2507, 2421, -1,
 2513, 2619, 2512, -1, 2512, 2619, 2609, -1, 2512, 2609, 2511, -1,
 2511, 2609, 2601, -1, 2511, 2601, 2510, -1, 2510, 2601, 2598, -1,
 2510, 2598, 2509, -1, 2509, 2598, 2597, -1, 2509, 2597, 2508, -1,
 2508, 2597, 2596, -1, 2508, 2596, 2514, -1, 2705, 2704, 2675, -1,
 2631, 2727, 2619, -1, 2619, 2727, 2724, -1, 2619, 2724, 2609, -1,
 2609, 2724, 2717, -1, 2609, 2717, 2601, -1, 2601, 2717, 2712, -1,
 2601, 2712, 2598, -1, 2598, 2712, 2705, -1, 2598, 2705, 2597, -1,
 2597, 2705, 2675, -1, 2597, 2675, 2596, -1, 2736, 2823, 2727, -1,
 2727, 2823, 2813, -1, 2727, 2813, 2724, -1, 2724, 2813, 2806, -1,
 2724, 2806, 2717, -1, 2717, 2806, 2800, -1, 2717, 2800, 2712, -1,
 2712, 2800, 2794, -1, 2712, 2794, 2705, -1, 2705, 2794, 2793, -1,
 2705, 2793, 2704, -1, 2830, 2953, 2823, -1, 2823, 2953, 2944, -1,
 2823, 2944, 2813, -1, 2813, 2944, 2934, -1, 2813, 2934, 2806, -1,
 2806, 2934, 2925, -1, 2806, 2925, 2800, -1, 2800, 2925, 2916, -1,
 2800, 2916, 2794, -1, 2794, 2916, 2913, -1, 2794, 2913, 2793, -1,
 2957, 3079, 2953, -1, 2953, 3079, 3057, -1, 2953, 3057, 2944, -1,
 2944, 3057, 3047, -1, 2944, 3047, 2934, -1, 2934, 3047, 3037, -1,
 2934, 3037, 2925, -1, 2925, 3037, 3032, -1, 2925, 3032, 2916, -1,
 2916, 3032, 3029, -1, 2916, 3029, 2958, -1, 3238, 3214, 3169, -1,
 3122, 3386, 3079, -1, 3079, 3386, 3333, -1, 3079, 3333, 3057, -1,
 3057, 3333, 3299, -1, 3057, 3299, 3047, -1, 3047, 3299, 3262, -1,
 3047, 3262, 3037, -1, 3037, 3262, 3238, -1, 3037, 3238, 3032, -1,
 3032, 3238, 3169, -1, 3032, 3169, 3029, -1, 3447, 3698, 3386, -1,
 3386, 3698, 3635, -1, 3386, 3635, 3333, -1, 3333, 3635, 3588, -1,
 3333, 3588, 3299, -1, 3299, 3588, 3556, -1, 3299, 3556, 3262, -1,
 3262, 3556, 3536, -1, 3262, 3536, 3238, -1, 3238, 3536, 3527, -1,
 3238, 3527, 3214, -1, 3766, 3875, 3698, -1, 3698, 3875, 3852, -1,
 3698, 3852, 3635, -1, 3635, 3852, 3817, -1, 3635, 3817, 3588, -1,
 3588, 3817, 3796, -1, 3588, 3796, 3556, -1, 3556, 3796, 3788, -1,
 3556, 3788, 3536, -1, 3536, 3788, 3781, -1, 3536, 3781, 3590, -1,
 3880, 3876, 3858, -1, 3895, 3933, 3875, -1, 3875, 3933, 3914, -1,
 3875, 3914, 3852, -1, 3852, 3914, 3898, -1, 3852, 3898, 3817, -1,
 3817, 3898, 3889, -1, 3817, 3889, 3796, -1, 3796, 3889, 3880, -1,
 3796, 3880, 3788, -1, 3788, 3880, 3858, -1, 3788, 3858, 3781, -1,
 3966, 3982, 3933, -1, 3933, 3982, 3970, -1, 3933, 3970, 3914, -1,
 3914, 3970, 3941, -1, 3914, 3941, 3898, -1, 3898, 3941, 3926, -1,
 3898, 3926, 3889, -1, 3889, 3926, 3918, -1, 3889, 3918, 3880, -1,
 3880, 3918, 3916, -1, 3880, 3916, 3876, -1, 3994, 3995, 3982, -1,
 3982, 3995, 3985, -1, 3982, 3985, 3970, -1, 3970, 3985, 3975, -1,
 3970, 3975, 3941, -1, 3941, 3975, 3961, -1, 3941, 3961, 3926, -1,
 3926, 3961, 3945, -1, 3926, 3945, 3918, -1, 3918, 3945, 3939, -1,
 3918, 3939, 3919, -1, 3952, 3948, 3943, -1, 4003, 3997, 3995, -1,
 3995, 3997, 3986, -1, 3995, 3986, 3985, -1, 3985, 3986, 3976, -1,
 3985, 3976, 3975, -1, 3975, 3976, 3967, -1, 3975, 3967, 3961, -1,
 3961, 3967, 3952, -1, 3961, 3952, 3945, -1, 3945, 3952, 3943, -1,
 3945, 3943, 3939, -1, 4006, 3990, 3997, -1, 3997, 3990, 3979, -1,
 3997, 3979, 3986, -1, 3986, 3979, 3965, -1, 3986, 3965, 3976, -1,
 3976, 3965, 3942, -1, 3976, 3942, 3967, -1, 3967, 3942, 3932, -1,
 3967, 3932, 3952, -1, 3952, 3932, 3929, -1, 3952, 3929, 3948, -1,
 3999, 3971, 3990, -1, 3990, 3971, 3938, -1, 3990, 3938, 3979, -1,
 3979, 3938, 3922, -1, 3979, 3922, 3965, -1, 3965, 3922, 3908, -1,
 3965, 3908, 3942, -1, 3942, 3908, 3901, -1, 3942, 3901, 3932, -1,
 3932, 3901, 3897, -1, 3932, 3897, 3929, -1, 3984, 3904, 3971, -1,
 3971, 3904, 3890, -1, 3971, 3890, 3938, -1, 3938, 3890, 3873, -1,
 3938, 3873, 3922, -1, 3922, 3873, 3859, -1, 3922, 3859, 3908, -1,
 3908, 3859, 3846, -1, 3908, 3846, 3901, -1, 3901, 3846, 3835, -1,
 3901, 3835, 3878, -1, 3664, 3650, 3685, -1, 3925, 3812, 3904, -1,
 3904, 3812, 3783, -1, 3904, 3783, 3890, -1, 3890, 3783, 3726, -1,
 3890, 3726, 3873, -1, 3873, 3726, 3687, -1, 3873, 3687, 3859, -1,
 3859, 3687, 3664, -1, 3859, 3664, 3846, -1, 3846, 3664, 3685, -1,
 3846, 3685, 3835, -1, 3850, 3549, 3812, -1, 3812, 3549, 3494, -1,
 3812, 3494, 3783, -1, 3783, 3494, 3456, -1, 3783, 3456, 3726, -1,
 3726, 3456, 3422, -1, 3726, 3422, 3687, -1, 3687, 3422, 3397, -1,
 3687, 3397, 3664, -1, 3664, 3397, 3385, -1, 3664, 3385, 3650, -1,
 566, 565, 271, -1, 995, 992, 567, -1, 566, 271, 567, -1,
 567, 271, 998, -1, 567, 998, 995, -1, 565, 563, 271, -1,
 271, 563, 561, -1, 271, 561, 269, -1, 464, 471, 245, -1,
 245, 471, 500, -1, 245, 500, 509, -1, 250, 442, 441, -1,
 441, 443, 250, -1, 250, 443, 444, -1, 250, 444, 245, -1,
 245, 444, 455, -1, 245, 455, 464, -1, 442, 250, 445, -1,
 445, 250, 258, -1, 445, 258, 446, -1, 446, 258, 263, -1,
 446, 263, 460, -1, 265, 494, 263, -1, 263, 494, 468, -1,
 263, 468, 460, -1, 561, 559, 269, -1, 269, 559, 525, -1,
 269, 525, 265, -1, 265, 525, 522, -1, 265, 522, 494, -1,
 271, 269, 236, -1, 269, 265, 235, -1, 265, 263, 234, -1,
 263, 258, 233, -1, 258, 250, 232, -1, 250, 245, 231, -1,
 250, 231, 232, -1, 232, 231, 229, -1, 232, 229, 199, -1,
 199, 229, 227, -1, 199, 227, 188, -1, 188, 227, 221, -1,
 188, 221, 179, -1, 179, 221, 217, -1, 179, 217, 166, -1,
 166, 217, 211, -1, 166, 211, 154, -1, 154, 211, 205, -1,
 154, 205, 146, -1, 258, 232, 233, -1, 233, 232, 199, -1,
 233, 199, 192, -1, 192, 199, 188, -1, 192, 188, 158, -1,
 158, 188, 179, -1, 158, 179, 134, -1, 134, 179, 166, -1,
 134, 166, 124, -1, 124, 166, 154, -1, 124, 154, 107, -1,
 107, 154, 146, -1, 107, 146, 95, -1, 263, 233, 234, -1,
 234, 233, 192, -1, 234, 192, 185, -1, 185, 192, 158, -1,
 185, 158, 138, -1, 138, 158, 134, -1, 138, 134, 99, -1,
 99, 134, 124, -1, 99, 124, 78, -1, 78, 124, 107, -1,
 78, 107, 64, -1, 64, 107, 95, -1, 64, 95, 50, -1,
 265, 234, 235, -1, 235, 234, 185, -1, 235, 185, 174, -1,
 174, 185, 138, -1, 174, 138, 126, -1, 126, 138, 99, -1,
 126, 99, 80, -1, 80, 99, 78, -1, 80, 78, 44, -1,
 44, 78, 64, -1, 44, 64, 32, -1, 32, 64, 50, -1,
 32, 50, 24, -1, 269, 235, 236, -1, 236, 235, 174, -1,
 236, 174, 162, -1, 162, 174, 126, -1, 162, 126, 111, -1,
 111, 126, 80, -1, 111, 80, 67, -1, 67, 80, 44, -1,
 67, 44, 34, -1, 34, 44, 32, -1, 34, 32, 16, -1,
 16, 32, 24, -1, 16, 24, 8, -1, 271, 236, 237, -1,
 237, 236, 162, -1, 237, 162, 156, -1, 156, 162, 111, -1,
 156, 111, 103, -1, 103, 111, 67, -1, 103, 67, 56, -1,
 56, 67, 34, -1, 56, 34, 28, -1, 28, 34, 16, -1,
 28, 16, 12, -1, 12, 16, 8, -1, 12, 8, 0, -1,
 998, 864, 863, -1, 983, 992, 995, -1, 998, 863, 995, -1,
 995, 863, 862, -1, 995, 862, 983, -1, 983, 862, 860, -1,
 983, 860, 967, -1, 860, 859, 967, -1, 967, 859, 855, -1,
 967, 855, 953, -1, 855, 846, 953, -1, 953, 846, 842, -1,
 953, 842, 938, -1, 938, 842, 839, -1, 938, 839, 914, -1,
 833, 896, 839, -1, 839, 896, 904, -1, 839, 904, 914, -1,
 1, 0, 8, -1, 1, 8, 9, -1, 9, 8, 24, -1,
 9, 24, 25, -1, 25, 24, 50, -1, 25, 50, 51, -1,
 51, 50, 95, -1, 51, 95, 96, -1, 96, 95, 146, -1,
 96, 146, 147, -1, 147, 146, 205, -1, 147, 205, 206, -1,
 545, 833, 539, -1, 539, 833, 839, -1, 842, 534, 839, -1,
 839, 534, 538, -1, 839, 538, 539, -1, 846, 512, 842, -1,
 842, 512, 528, -1, 842, 528, 534, -1, 864, 489, 863, -1,
 863, 489, 492, -1, 863, 492, 862, -1, 862, 492, 493, -1,
 862, 493, 860, -1, 860, 493, 498, -1, 860, 498, 859, -1,
 859, 498, 502, -1, 859, 502, 855, -1, 855, 502, 506, -1,
 855, 506, 846, -1, 846, 506, 507, -1, 846, 507, 512, -1,
 172, 219, 222, -1, 222, 187, 172, -1, 172, 187, 180, -1,
 172, 180, 128, -1, 180, 142, 128, -1, 128, 142, 135, -1,
 128, 135, 88, -1, 135, 121, 88, -1, 88, 121, 100, -1,
 88, 100, 48, -1, 48, 100, 94, -1, 206, 209, 147, -1,
 147, 209, 152, -1, 147, 152, 96, -1, 96, 152, 105, -1,
 96, 105, 51, -1, 51, 105, 62, -1, 51, 62, 25, -1,
 25, 62, 30, -1, 25, 30, 9, -1, 9, 30, 14, -1,
 9, 14, 1, -1, 209, 213, 152, -1, 152, 213, 164, -1,
 152, 164, 105, -1, 105, 164, 115, -1, 105, 115, 62, -1,
 62, 115, 73, -1, 62, 73, 30, -1, 30, 73, 40, -1,
 30, 40, 14, -1, 14, 40, 22, -1, 213, 219, 164, -1,
 164, 219, 172, -1, 164, 172, 115, -1, 115, 172, 128, -1,
 115, 128, 73, -1, 73, 128, 88, -1, 73, 88, 40, -1,
 40, 88, 48, -1, 40, 48, 22, -1, 22, 48, 38, -1,
 94, 81, 48, -1, 48, 81, 75, -1, 48, 75, 38, -1,
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 528, 121, 135, -1, 528, 135, 534, -1, 534, 135, 142, -1,
 534, 142, 538, -1, 538, 142, 180, -1, 538, 180, 539, -1,
 180, 187, 539, -1, 539, 187, 222, -1, 539, 222, 545, -1,
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 424, 1919, 1918, -1, 424, 1918, 423, -1, 423, 1918, 1917, -1,
 423, 1917, 422, -1, 422, 1917, 1916, -1, 422, 1916, 421, -1,
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 422, 421, 393, -1, 420, 419, 395, -1, 395, 419, 410, -1,
 410, 408, 395, -1, 395, 408, 370, -1, 395, 370, 366, -1,
 366, 370, 335, -1, 366, 335, 320, -1, 320, 335, 308, -1,
 320, 308, 288, -1, 288, 308, 284, -1, 288, 284, 260, -1,
 260, 284, 273, -1, 260, 273, 247, -1, 247, 273, 267, -1,
 247, 267, 215, -1, 215, 267, 279, -1, 215, 279, 252, -1,
 279, 292, 281, -1, 279, 281, 252, -1, 252, 281, 277, -1,
 252, 277, 262, -1, 262, 190, 252, -1, 252, 190, 160, -1,
 252, 160, 215, -1, 215, 160, 176, -1, 215, 176, 247, -1,
 247, 176, 203, -1, 247, 203, 260, -1, 260, 203, 275, -1,
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 366, 393, 395, -1, 395, 393, 421, -1, 395, 421, 420, -1,
 422, 393, 390, -1, 390, 393, 355, -1, 390, 355, 351, -1,
 351, 355, 310, -1, 351, 310, 294, -1, 294, 310, 275, -1,
 294, 275, 254, -1, 254, 275, 203, -1, 254, 203, 170, -1,
 170, 203, 176, -1, 170, 176, 130, -1, 130, 176, 160, -1,
 130, 160, 119, -1, 119, 160, 190, -1, 119, 190, 140, -1,
 262, 256, 190, -1, 190, 256, 249, -1, 190, 249, 140, -1,
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 119, 90, 130, -1, 130, 90, 132, -1, 130, 132, 170, -1,
 170, 132, 225, -1, 170, 225, 254, -1, 254, 225, 290, -1,
 254, 290, 294, -1, 294, 290, 347, -1, 294, 347, 351, -1,
 351, 347, 388, -1, 351, 388, 390, -1, 390, 388, 423, -1,
 390, 423, 422, -1, 424, 388, 385, -1, 385, 388, 347, -1,
 385, 347, 337, -1, 337, 347, 290, -1, 337, 290, 286, -1,
 286, 290, 225, -1, 286, 225, 197, -1, 197, 225, 132, -1,
 197, 132, 117, -1, 117, 132, 90, -1, 117, 90, 71, -1,
 71, 90, 84, -1, 71, 84, 54, -1, 54, 84, 113, -1,
 54, 113, 92, -1, 196, 183, 113, -1, 113, 183, 178, -1,
 113, 178, 92, -1, 92, 178, 150, -1, 92, 150, 145, -1,
 425, 385, 383, -1, 383, 385, 337, -1, 383, 337, 333, -1,
 333, 337, 286, -1, 333, 286, 282, -1, 282, 286, 197, -1,
 282, 197, 194, -1, 194, 197, 117, -1, 194, 117, 108, -1,
 108, 117, 71, -1, 108, 71, 60, -1, 60, 71, 54, -1,
 60, 54, 46, -1, 46, 54, 92, -1, 46, 92, 86, -1,
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 249, 340, 339, -1, 249, 339, 201, -1, 201, 339, 332, -1,
 201, 332, 196, -1, 196, 332, 330, -1, 196, 330, 183, -1,
 183, 330, 331, -1, 183, 331, 178, -1, 349, 249, 350, -1,
 350, 249, 256, -1, 350, 256, 353, -1, 368, 365, 281, -1,
 281, 365, 354, -1, 281, 354, 277, -1, 277, 354, 353, -1,
 277, 353, 262, -1, 262, 353, 256, -1, 382, 292, 387, -1,
 387, 292, 392, -1, 382, 373, 292, -1, 292, 373, 372, -1,
 292, 372, 281, -1, 281, 372, 369, -1, 281, 369, 368, -1,
 178, 331, 150, -1, 150, 331, 341, -1, 150, 341, 145, -1,
 145, 341, 342, -1, 145, 342, 143, -1, 143, 342, 343, -1,
 143, 343, 344, -1, 344, 345, 143, -1, 143, 345, 346, -1,
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 4760, 4721, 4726, -1, 4760, 4726, 4769, -1, 4769, 4726, 4731, -1,
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 4920, 4922, 4938, -1, 4938, 4922, 4929, -1, 4938, 4929, 4945, -1,
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 4654, 4658, 4601, -1, 4654, 4601, 4597, -1, 4597, 4601, 4560, -1,
 4597, 4560, 4558, -1, 4558, 4560, 4521, -1, 4558, 4521, 4520, -1,
 4522, 4560, 4563, -1, 4563, 4560, 4601, -1, 4563, 4601, 4611, -1,
 4611, 4601, 4658, -1, 4611, 4658, 4662, -1, 4662, 4658, 4723, -1,
 4662, 4723, 4751, -1, 4751, 4723, 4818, -1, 4751, 4818, 4834, -1,
 4834, 4818, 4862, -1, 4834, 4862, 4882, -1, 4882, 4862, 4868, -1,
 4882, 4868, 4900, -1, 4900, 4868, 4838, -1, 4900, 4838, 4860, -1,
 4753, 4766, 4838, -1, 4838, 4766, 4772, -1, 4838, 4772, 4860, -1,
 4860, 4772, 4799, -1, 4860, 4799, 4805, -1, 4523, 4563, 4565, -1,
 4565, 4563, 4611, -1, 4565, 4611, 4615, -1, 4615, 4611, 4662, -1,
 4615, 4662, 4666, -1, 4666, 4662, 4751, -1, 4666, 4751, 4754, -1,
 4754, 4751, 4834, -1, 4754, 4834, 4843, -1, 4843, 4834, 4882, -1,
 4843, 4882, 4894, -1, 4894, 4882, 4900, -1, 4894, 4900, 4908, -1,
 4908, 4900, 4860, -1, 4908, 4860, 4866, -1, 4866, 4860, 4805, -1,
 4866, 4805, 4806, -1, 3485, 3483, 3508, -1, 3508, 3483, 3510, -1,
 3508, 3510, 3585, -1, 3585, 3510, 3623, -1, 3585, 3623, 3620, -1,
 4523, 2982, 2981, -1, 2977, 2976, 3145, -1, 4523, 2981, 4522, -1,
 4522, 2981, 2980, -1, 4522, 2980, 4521, -1, 4521, 2980, 2979, -1,
 4521, 2979, 4520, -1, 4520, 2979, 2978, -1, 4520, 2978, 4519, -1,
 4519, 2978, 2977, -1, 4519, 2977, 4518, -1, 4518, 2977, 3145, -1,
 4518, 3145, 4517, -1, 3483, 3485, 3467, -1, 2732, 3483, 2734, -1,
 2734, 3483, 3467, -1, 2734, 3467, 2737, -1, 2737, 3467, 3458, -1,
 2737, 3458, 2744, -1, 2744, 3458, 2747, -1, 3458, 3420, 2747, -1,
 2747, 3420, 3417, -1, 2747, 3417, 2750, -1, 2750, 3417, 2752, -1,
 3417, 3416, 2752, -1, 2752, 3416, 3419, -1, 2752, 3419, 2755, -1,
 3321, 2773, 2767, -1, 3419, 3433, 2755, -1, 2755, 3433, 3448, -1,
 2755, 3448, 2767, -1, 2767, 3448, 3472, -1, 2767, 3472, 3321, -1,
 3321, 3472, 3496, -1, 3321, 3496, 3539, -1, 2853, 2889, 2837, -1,
 2837, 2889, 2878, -1, 2837, 2878, 2824, -1, 2824, 2878, 2870, -1,
 2824, 2870, 2812, -1, 2812, 2870, 2861, -1, 2812, 2861, 2802, -1,
 2802, 2861, 2856, -1, 2802, 2856, 2795, -1, 2795, 2856, 2852, -1,
 2795, 2852, 2790, -1, 2790, 2852, 2850, -1, 2889, 2937, 2878, -1,
 2878, 2937, 2935, -1, 2878, 2935, 2870, -1, 2870, 2935, 2931, -1,
 2870, 2931, 2861, -1, 2861, 2931, 2922, -1, 2861, 2922, 2856, -1,
 2856, 2922, 2914, -1, 2856, 2914, 2852, -1, 2852, 2914, 2912, -1,
 2852, 2912, 2850, -1, 2850, 2912, 2910, -1, 2937, 2976, 2935, -1,
 2935, 2976, 2977, -1, 2935, 2977, 2931, -1, 2931, 2977, 2978, -1,
 2931, 2978, 2922, -1, 2922, 2978, 2979, -1, 2922, 2979, 2914, -1,
 2914, 2979, 2980, -1, 2914, 2980, 2912, -1, 2912, 2980, 2981, -1,
 2912, 2981, 2910, -1, 2910, 2981, 2982, -1, 2604, 2732, 2734, -1,
 2604, 2734, 2608, -1, 2608, 2734, 2737, -1, 2608, 2737, 2610, -1,
 2610, 2737, 2744, -1, 2610, 2744, 2624, -1, 2624, 2744, 2747, -1,
 2624, 2747, 2634, -1, 2634, 2747, 2750, -1, 2634, 2750, 2642, -1,
 2642, 2750, 2752, -1, 2642, 2752, 2656, -1, 2656, 2752, 2755, -1,
 2656, 2755, 2667, -1, 2667, 2755, 2767, -1, 2667, 2767, 2672, -1,
 2672, 2767, 2773, -1, 2672, 2773, 2681, -1, 2681, 2853, 2837, -1,
 2681, 2837, 2672, -1, 2672, 2837, 2824, -1, 2672, 2824, 2667, -1,
 2667, 2824, 2812, -1, 2667, 2812, 2656, -1, 2656, 2812, 2642, -1,
 2642, 2812, 2802, -1, 2642, 2802, 2634, -1, 2634, 2802, 2624, -1,
 2624, 2802, 2795, -1, 2624, 2795, 2610, -1, 2610, 2795, 2608, -1,
 2608, 2795, 2790, -1, 2608, 2790, 2604, -1, 4627, 4633, 4637, -1,
 4637, 4633, 4645, -1, 4637, 4645, 4649, -1, 4649, 4645, 4651, -1,
 4649, 4651, 4653, -1, 4653, 4651, 4644, -1, 4653, 4644, 4648, -1,
 4648, 4644, 4632, -1, 4648, 4632, 4636, -1, 4636, 4632, 4622, -1,
 4636, 4622, 4626, -1, 4626, 4622, 4587, -1, 4626, 4587, 4591, -1,
 4591, 4587, 4570, -1, 4591, 4570, 4574, -1, 4574, 4570, 4546, -1,
 4574, 4546, 4551, -1, 4551, 4546, 4533, -1, 4551, 4533, 4537, -1,
 4537, 4533, 4511, -1, 4537, 4511, 4515, -1, 4515, 4511, 4497, -1,
 4515, 4497, 4501, -1, 4501, 4497, 4464, -1, 4501, 4464, 4468, -1,
 4468, 4464, 4429, -1, 4468, 4429, 4433, -1, 4433, 4429, 4418, -1,
 4433, 4418, 4420, -1, 4420, 4418, 4430, -1, 4420, 4430, 4434, -1,
 4434, 4430, 4465, -1, 4434, 4465, 4469, -1, 4469, 4465, 4498, -1,
 4469, 4498, 4502, -1, 4502, 4498, 4512, -1, 4502, 4512, 4516, -1,
 4516, 4512, 4534, -1, 4516, 4534, 4538, -1, 4538, 4534, 4548, -1,
 4538, 4548, 4552, -1, 4552, 4548, 4571, -1, 4552, 4571, 4575, -1,
 4575, 4571, 4588, -1, 4575, 4588, 4592, -1, 4592, 4588, 4623, -1,
 4592, 4623, 4627, -1, 4627, 4623, 4633, -1, 4429, 4464, 4547, -1,
 4547, 4464, 4497, -1, 4547, 4497, 4511, -1, 4465, 4430, 4547, -1,
 4547, 4430, 4418, -1, 4547, 4418, 4429, -1, 4534, 4512, 4547, -1,
 4547, 4512, 4498, -1, 4547, 4498, 4465, -1, 4588, 4571, 4547, -1,
 4547, 4571, 4548, -1, 4547, 4548, 4534, -1, 4645, 4633, 4547, -1,
 4547, 4633, 4623, -1, 4547, 4623, 4588, -1, 4632, 4644, 4547, -1,
 4547, 4644, 4651, -1, 4547, 4651, 4645, -1, 4570, 4587, 4547, -1,
 4547, 4587, 4622, -1, 4547, 4622, 4632, -1, 4511, 4533, 4547, -1,
 4547, 4533, 4546, -1, 4547, 4546, 4570, -1, 3054, 3074, 3076, -1,
 3076, 3074, 3103, -1, 3076, 3103, 3105, -1, 3105, 3103, 3117, -1,
 3105, 3117, 3118, -1, 3118, 3117, 3102, -1, 3118, 3102, 3104, -1,
 3104, 3102, 3073, -1, 3104, 3073, 3075, -1, 3075, 3073, 3051, -1,
 3075, 3051, 3053, -1, 3053, 3051, 3023, -1, 3053, 3023, 3025, -1,
 3025, 3023, 3000, -1, 3025, 3000, 3002, -1, 3002, 3000, 2962, -1,
 3002, 2962, 2965, -1, 2965, 2962, 2948, -1, 2965, 2948, 2950, -1,
 2950, 2948, 2917, -1, 2950, 2917, 2919, -1, 2919, 2917, 2894, -1,
 2919, 2894, 2896, -1, 2896, 2894, 2874, -1, 2896, 2874, 2876, -1,
 2876, 2874, 2865, -1, 2876, 2865, 2867, -1, 2867, 2865, 2863, -1,
 2867, 2863, 2864, -1, 2864, 2863, 2866, -1, 2864, 2866, 2868, -1,
 2868, 2866, 2875, -1, 2868, 2875, 2877, -1, 2877, 2875, 2895, -1,
 2877, 2895, 2897, -1, 2897, 2895, 2918, -1, 2897, 2918, 2920, -1,
 2920, 2918, 2949, -1, 2920, 2949, 2951, -1, 2951, 2949, 2964, -1,
 2951, 2964, 2966, -1, 2966, 2964, 3001, -1, 2966, 3001, 3003, -1,
 3003, 3001, 3024, -1, 3003, 3024, 3026, -1, 3026, 3024, 3052, -1,
 3026, 3052, 3054, -1, 3054, 3052, 3074, -1, 2865, 2874, 2963, -1,
 2963, 2874, 2894, -1, 2963, 2894, 2917, -1, 2875, 2866, 2963, -1,
 2963, 2866, 2863, -1, 2963, 2863, 2865, -1, 2949, 2918, 2963, -1,
 2963, 2918, 2895, -1, 2963, 2895, 2875, -1, 3024, 3001, 2963, -1,
 2963, 3001, 2964, -1, 2963, 2964, 2949, -1, 3103, 3074, 2963, -1,
 2963, 3074, 3052, -1, 2963, 3052, 3024, -1, 3073, 3102, 2963, -1,
 2963, 3102, 3117, -1, 2963, 3117, 3103, -1, 3000, 3023, 2963, -1,
 2963, 3023, 3051, -1, 2963, 3051, 3073, -1, 2917, 2948, 2963, -1,
 2963, 2948, 2962, -1, 2963, 2962, 3000, -1, 4109, 4112, 4114, -1,
 4114, 4112, 4117, -1, 4114, 4117, 4119, -1, 4119, 4117, 4121, -1,
 4119, 4121, 4122, -1, 4122, 4121, 4116, -1, 4122, 4116, 4118, -1,
 4118, 4116, 4111, -1, 4118, 4111, 4113, -1, 4113, 4111, 4106, -1,
 4113, 4106, 4108, -1, 4108, 4106, 4100, -1, 4108, 4100, 4102, -1,
 4102, 4100, 4090, -1, 4102, 4090, 4092, -1, 4092, 4090, 4070, -1,
 4092, 4070, 4073, -1, 4073, 4070, 4062, -1, 4073, 4062, 4064, -1,
 4064, 4062, 4057, -1, 4064, 4057, 4059, -1, 4059, 4057, 4053, -1,
 4059, 4053, 4055, -1, 4055, 4053, 4045, -1, 4055, 4045, 4047, -1,
 4047, 4045, 4038, -1, 4047, 4038, 4040, -1, 4040, 4038, 4036, -1,
 4040, 4036, 4037, -1, 4037, 4036, 4039, -1, 4037, 4039, 4041, -1,
 4041, 4039, 4046, -1, 4041, 4046, 4048, -1, 4048, 4046, 4054, -1,
 4048, 4054, 4056, -1, 4056, 4054, 4058, -1, 4056, 4058, 4060, -1,
 4060, 4058, 4063, -1, 4060, 4063, 4065, -1, 4065, 4063, 4072, -1,
 4065, 4072, 4074, -1, 4074, 4072, 4091, -1, 4074, 4091, 4093, -1,
 4093, 4091, 4101, -1, 4093, 4101, 4103, -1, 4103, 4101, 4107, -1,
 4103, 4107, 4109, -1, 4109, 4107, 4112, -1, 4038, 4045, 4071, -1,
 4071, 4045, 4053, -1, 4071, 4053, 4057, -1, 4046, 4039, 4071, -1,
 4071, 4039, 4036, -1, 4071, 4036, 4038, -1, 4063, 4058, 4071, -1,
 4071, 4058, 4054, -1, 4071, 4054, 4046, -1, 4101, 4091, 4071, -1,
 4071, 4091, 4072, -1, 4071, 4072, 4063, -1, 4117, 4112, 4071, -1,
 4071, 4112, 4107, -1, 4071, 4107, 4101, -1, 4111, 4116, 4071, -1,
 4071, 4116, 4121, -1, 4071, 4121, 4117, -1, 4090, 4100, 4071, -1,
 4071, 4100, 4106, -1, 4071, 4106, 4111, -1, 4057, 4062, 4071, -1,
 4071, 4062, 4070, -1, 4071, 4070, 4090, -1, 4625, 4631, 4635, -1,
 4635, 4631, 4643, -1, 4635, 4643, 4647, -1, 4647, 4643, 4650, -1,
 4647, 4650, 4652, -1, 4652, 4650, 4642, -1, 4652, 4642, 4646, -1,
 4646, 4642, 4630, -1, 4646, 4630, 4634, -1, 4634, 4630, 4620, -1,
 4634, 4620, 4624, -1, 4624, 4620, 4585, -1, 4624, 4585, 4589, -1,
 4589, 4585, 4568, -1, 4589, 4568, 4572, -1, 4572, 4568, 4543, -1,
 4572, 4543, 4549, -1, 4549, 4543, 4531, -1, 4549, 4531, 4535, -1,
 4535, 4531, 4509, -1, 4535, 4509, 4513, -1, 4513, 4509, 4495, -1,
 4513, 4495, 4499, -1, 4499, 4495, 4462, -1, 4499, 4462, 4466, -1,
 4466, 4462, 4427, -1, 4466, 4427, 4431, -1, 4431, 4427, 4417, -1,
 4431, 4417, 4419, -1, 4419, 4417, 4428, -1, 4419, 4428, 4432, -1,
 4432, 4428, 4463, -1, 4432, 4463, 4467, -1, 4467, 4463, 4496, -1,
 4467, 4496, 4500, -1, 4500, 4496, 4510, -1, 4500, 4510, 4514, -1,
 4514, 4510, 4532, -1, 4514, 4532, 4536, -1, 4536, 4532, 4545, -1,
 4536, 4545, 4550, -1, 4550, 4545, 4569, -1, 4550, 4569, 4573, -1,
 4573, 4569, 4586, -1, 4573, 4586, 4590, -1, 4590, 4586, 4621, -1,
 4590, 4621, 4625, -1, 4625, 4621, 4631, -1, 4427, 4462, 4544, -1,
 4544, 4462, 4495, -1, 4544, 4495, 4509, -1, 4463, 4428, 4544, -1,
 4544, 4428, 4417, -1, 4544, 4417, 4427, -1, 4532, 4510, 4544, -1,
 4544, 4510, 4496, -1, 4544, 4496, 4463, -1, 4586, 4569, 4544, -1,
 4544, 4569, 4545, -1, 4544, 4545, 4532, -1, 4643, 4631, 4544, -1,
 4544, 4631, 4621, -1, 4544, 4621, 4586, -1, 4630, 4642, 4544, -1,
 4544, 4642, 4650, -1, 4544, 4650, 4643, -1, 4568, 4585, 4544, -1,
 4544, 4585, 4620, -1, 4544, 4620, 4630, -1, 4509, 4531, 4544, -1,
 4544, 4531, 4543, -1, 4544, 4543, 4568, -1, 2005, 2025, 2027, -1,
 2027, 2025, 2034, -1, 2027, 2034, 2036, -1, 2036, 2034, 2038, -1,
 2036, 2038, 2039, -1, 2039, 2038, 2033, -1, 2039, 2033, 2035, -1,
 2035, 2033, 2024, -1, 2035, 2024, 2026, -1, 2026, 2024, 2002, -1,
 2026, 2002, 2004, -1, 2004, 2002, 1977, -1, 2004, 1977, 1979, -1,
 1979, 1977, 1944, -1, 1979, 1944, 1946, -1, 1946, 1944, 1931, -1,
 1946, 1931, 1934, -1, 1934, 1931, 1896, -1, 1934, 1896, 1898, -1,
 1898, 1896, 1877, -1, 1898, 1877, 1879, -1, 1879, 1877, 1845, -1,
 1879, 1845, 1847, -1, 1847, 1845, 1831, -1, 1847, 1831, 1833, -1,
 1833, 1831, 1812, -1, 1833, 1812, 1814, -1, 1814, 1812, 1802, -1,
 1814, 1802, 1803, -1, 1803, 1802, 1813, -1, 1803, 1813, 1815, -1,
 1815, 1813, 1832, -1, 1815, 1832, 1834, -1, 1834, 1832, 1846, -1,
 1834, 1846, 1848, -1, 1848, 1846, 1878, -1, 1848, 1878, 1880, -1,
 1880, 1878, 1897, -1, 1880, 1897, 1899, -1, 1899, 1897, 1933, -1,
 1899, 1933, 1935, -1, 1935, 1933, 1945, -1, 1935, 1945, 1947, -1,
 1947, 1945, 1978, -1, 1947, 1978, 1980, -1, 1980, 1978, 2003, -1,
 1980, 2003, 2005, -1, 2005, 2003, 2025, -1, 1812, 1831, 1932, -1,
 1932, 1831, 1845, -1, 1932, 1845, 1877, -1, 1832, 1813, 1932, -1,
 1932, 1813, 1802, -1, 1932, 1802, 1812, -1, 1897, 1878, 1932, -1,
 1932, 1878, 1846, -1, 1932, 1846, 1832, -1, 1978, 1945, 1932, -1,
 1932, 1945, 1933, -1, 1932, 1933, 1897, -1, 2034, 2025, 1932, -1,
 1932, 2025, 2003, -1, 1932, 2003, 1978, -1, 2024, 2033, 1932, -1,
 1932, 2033, 2038, -1, 1932, 2038, 2034, -1, 1944, 1977, 1932, -1,
 1932, 1977, 2002, -1, 1932, 2002, 2024, -1, 1877, 1896, 1932, -1,
 1932, 1896, 1931, -1, 1932, 1931, 1944, -1, 895, 899, 901, -1,
 901, 899, 906, -1, 901, 906, 908, -1, 908, 906, 909, -1,
 908, 909, 910, -1, 910, 909, 905, -1, 910, 905, 907, -1,
 907, 905, 898, -1, 907, 898, 900, -1, 900, 898, 892, -1,
 900, 892, 894, -1, 894, 892, 886, -1, 894, 886, 888, -1,
 888, 886, 881, -1, 888, 881, 883, -1, 883, 881, 870, -1,
 883, 870, 873, -1, 873, 870, 847, -1, 873, 847, 849, -1,
 849, 847, 835, -1, 849, 835, 837, -1, 837, 835, 829, -1,
 837, 829, 831, -1, 831, 829, 825, -1, 831, 825, 827, -1,
 827, 825, 818, -1, 827, 818, 820, -1, 820, 818, 816, -1,
 820, 816, 817, -1, 817, 816, 819, -1, 817, 819, 821, -1,
 821, 819, 826, -1, 821, 826, 828, -1, 828, 826, 830, -1,
 828, 830, 832, -1, 832, 830, 836, -1, 832, 836, 838, -1,
 838, 836, 848, -1, 838, 848, 850, -1, 850, 848, 872, -1,
 850, 872, 874, -1, 874, 872, 882, -1, 874, 882, 884, -1,
 884, 882, 887, -1, 884, 887, 889, -1, 889, 887, 893, -1,
 889, 893, 895, -1, 895, 893, 899, -1, 818, 825, 871, -1,
 871, 825, 829, -1, 871, 829, 835, -1, 826, 819, 871, -1,
 871, 819, 816, -1, 871, 816, 818, -1, 848, 836, 871, -1,
 871, 836, 830, -1, 871, 830, 826, -1, 887, 882, 871, -1,
 871, 882, 872, -1, 871, 872, 848, -1, 906, 899, 871, -1,
 871, 899, 893, -1, 871, 893, 887, -1, 898, 905, 871, -1,
 871, 905, 909, -1, 871, 909, 906, -1, 881, 886, 871, -1,
 871, 886, 892, -1, 871, 892, 898, -1, 835, 847, 871, -1,
 871, 847, 870, -1, 871, 870, 881, -1, 452, 481, 485, -1,
 485, 481, 514, -1, 485, 514, 518, -1, 518, 514, 529, -1,
 518, 529, 531, -1, 531, 529, 513, -1, 531, 513, 517, -1,
 517, 513, 480, -1, 517, 480, 484, -1, 484, 480, 447, -1,
 484, 447, 451, -1, 451, 447, 433, -1, 451, 433, 437, -1,
 437, 433, 411, -1, 437, 411, 415, -1, 415, 411, 397, -1,
 415, 397, 403, -1, 403, 397, 374, -1, 403, 374, 378, -1,
 378, 374, 357, -1, 378, 357, 361, -1, 361, 357, 322, -1,
 361, 322, 326, -1, 326, 322, 312, -1, 326, 312, 316, -1,
 316, 312, 300, -1, 316, 300, 304, -1, 304, 300, 296, -1,
 304, 296, 298, -1, 298, 296, 301, -1, 298, 301, 305, -1,
 305, 301, 313, -1, 305, 313, 317, -1, 317, 313, 323, -1,
 317, 323, 327, -1, 327, 323, 358, -1, 327, 358, 362, -1,
 362, 358, 375, -1, 362, 375, 379, -1, 379, 375, 399, -1,
 379, 399, 404, -1, 404, 399, 412, -1, 404, 412, 416, -1,
 416, 412, 434, -1, 416, 434, 438, -1, 438, 434, 448, -1,
 438, 448, 452, -1, 452, 448, 481, -1, 300, 312, 398, -1,
 398, 312, 322, -1, 398, 322, 357, -1, 313, 301, 398, -1,
 398, 301, 296, -1, 398, 296, 300, -1, 375, 358, 398, -1,
 398, 358, 323, -1, 398, 323, 313, -1, 434, 412, 398, -1,
 398, 412, 399, -1, 398, 399, 375, -1, 514, 481, 398, -1,
 398, 481, 448, -1, 398, 448, 434, -1, 480, 513, 398, -1,
 398, 513, 529, -1, 398, 529, 514, -1, 411, 433, 398, -1,
 398, 433, 447, -1, 398, 447, 480, -1, 357, 374, 398, -1,
 398, 374, 397, -1, 398, 397, 411, -1, 454, 483, 487, -1,
 487, 483, 516, -1, 487, 516, 520, -1, 520, 516, 530, -1,
 520, 530, 532, -1, 532, 530, 515, -1, 532, 515, 519, -1,
 519, 515, 482, -1, 519, 482, 486, -1, 486, 482, 449, -1,
 486, 449, 453, -1, 453, 449, 435, -1, 453, 435, 439, -1,
 439, 435, 413, -1, 439, 413, 417, -1, 417, 413, 400, -1,
 417, 400, 405, -1, 405, 400, 376, -1, 405, 376, 380, -1,
 380, 376, 359, -1, 380, 359, 363, -1, 363, 359, 324, -1,
 363, 324, 328, -1, 328, 324, 314, -1, 328, 314, 318, -1,
 318, 314, 302, -1, 318, 302, 306, -1, 306, 302, 297, -1,
 306, 297, 299, -1, 299, 297, 303, -1, 299, 303, 307, -1,
 307, 303, 315, -1, 307, 315, 319, -1, 319, 315, 325, -1,
 319, 325, 329, -1, 329, 325, 360, -1, 329, 360, 364, -1,
 364, 360, 377, -1, 364, 377, 381, -1, 381, 377, 402, -1,
 381, 402, 406, -1, 406, 402, 414, -1, 406, 414, 418, -1,
 418, 414, 436, -1, 418, 436, 440, -1, 440, 436, 450, -1,
 440, 450, 454, -1, 454, 450, 483, -1, 302, 314, 401, -1,
 401, 314, 324, -1, 401, 324, 359, -1, 315, 303, 401, -1,
 401, 303, 297, -1, 401, 297, 302, -1, 377, 360, 401, -1,
 401, 360, 325, -1, 401, 325, 315, -1, 436, 414, 401, -1,
 401, 414, 402, -1, 401, 402, 377, -1, 516, 483, 401, -1,
 401, 483, 450, -1, 401, 450, 436, -1, 482, 515, 401, -1,
 401, 515, 530, -1, 401, 530, 516, -1, 413, 435, 401, -1,
 401, 435, 449, -1, 401, 449, 482, -1, 359, 376, 401, -1,
 401, 376, 400, -1, 401, 400, 413, -1, 2882, 2880, 2835, -1,
 2835, 2880, 2833, -1, 2835, 2833, 2777, -1, 2777, 2833, 2775, -1,
 2777, 2775, 2698, -1, 2698, 2775, 2696, -1, 2698, 2696, 2614, -1,
 2614, 2696, 2612, -1, 2614, 2612, 2586, -1, 2586, 2612, 2584, -1,
 2586, 2584, 2522, -1, 2522, 2584, 2520, -1, 2522, 2520, 2462, -1,
 2462, 2520, 2460, -1, 2462, 2460, 2386, -1, 2386, 2460, 2384, -1,
 2386, 2384, 2337, -1, 2337, 2384, 2335, -1, 2337, 2335, 2293, -1,
 2293, 2335, 2291, -1, 2293, 2291, 2217, -1, 2217, 2291, 2215, -1,
 2217, 2215, 2122, -1, 2122, 2215, 2120, -1, 2122, 2120, 2068, -1,
 2068, 2120, 2066, -1, 2068, 2066, 2020, -1, 2020, 2066, 2018, -1,
 2020, 2018, 1925, -1, 1925, 2018, 1923, -1, 1925, 1923, 1828, -1,
 1828, 1923, 1826, -1, 1828, 1826, 1768, -1, 1768, 1826, 1766, -1,
 1768, 1766, 1659, -1, 1659, 1766, 1657, -1, 1659, 1657, 1467, -1,
 1467, 1657, 1465, -1, 1467, 1465, 1334, -1, 1334, 1465, 1332, -1,
 1334, 1332, 1289, -1, 1289, 1332, 1287, -1, 1289, 1287, 1244, -1,
 1244, 1287, 1242, -1, 1244, 1242, 1218, -1, 1218, 1242, 1217, -1,
 1218, 1217, 1243, -1, 1243, 1217, 1241, -1, 1243, 1241, 1288, -1,
 1288, 1241, 1286, -1, 1288, 1286, 1333, -1, 1333, 1286, 1331, -1,
 1333, 1331, 1466, -1, 1466, 1331, 1464, -1, 1466, 1464, 1658, -1,
 1658, 1464, 1656, -1, 1658, 1656, 1767, -1, 1767, 1656, 1765, -1,
 1767, 1765, 1827, -1, 1827, 1765, 1825, -1, 1827, 1825, 1924, -1,
 1924, 1825, 1922, -1, 1924, 1922, 2019, -1, 2019, 1922, 2017, -1,
 2019, 2017, 2067, -1, 2067, 2017, 2065, -1, 2067, 2065, 2121, -1,
 2121, 2065, 2119, -1, 2121, 2119, 2216, -1, 2216, 2119, 2214, -1,
 2216, 2214, 2292, -1, 2292, 2214, 2290, -1, 2292, 2290, 2336, -1,
 2336, 2290, 2334, -1, 2336, 2334, 2385, -1, 2385, 2334, 2383, -1,
 2385, 2383, 2461, -1, 2461, 2383, 2459, -1, 2461, 2459, 2521, -1,
 2521, 2459, 2519, -1, 2521, 2519, 2585, -1, 2585, 2519, 2583, -1,
 2585, 2583, 2613, -1, 2613, 2583, 2611, -1, 2613, 2611, 2697, -1,
 2697, 2611, 2695, -1, 2697, 2695, 2776, -1, 2776, 2695, 2774, -1,
 2776, 2774, 2834, -1, 2834, 2774, 2832, -1, 2834, 2832, 2881, -1,
 2881, 2832, 2879, -1, 2881, 2879, 2974, -1, 2974, 2879, 2972, -1,
 2974, 2972, 3082, -1, 3082, 2972, 3080, -1, 3082, 3080, 3158, -1,
 3158, 3080, 3156, -1, 3158, 3156, 3275, -1, 3275, 3156, 3273, -1,
 3275, 3273, 3475, -1, 3475, 3273, 3473, -1, 3475, 3473, 3605, -1,
 3605, 3473, 3603, -1, 3605, 3603, 3653, -1, 3653, 3603, 3651, -1,
 3653, 3651, 3703, -1, 3703, 3651, 3701, -1, 3703, 3701, 3732, -1,
 3732, 3701, 3731, -1, 3732, 3731, 3704, -1, 3704, 3731, 3702, -1,
 3704, 3702, 3654, -1, 3654, 3702, 3652, -1, 3654, 3652, 3606, -1,
 3606, 3652, 3604, -1, 3606, 3604, 3476, -1, 3476, 3604, 3474, -1,
 3476, 3474, 3276, -1, 3276, 3474, 3274, -1, 3276, 3274, 3159, -1,
 3159, 3274, 3157, -1, 3159, 3157, 3083, -1, 3083, 3157, 3081, -1,
 3083, 3081, 2975, -1, 2975, 3081, 2973, -1, 2975, 2973, 2882, -1,
 2882, 2973, 2880, -1, 1647, 1464, 1458, -1, 1458, 1464, 1331, -1,
 1458, 1331, 1323, -1, 1323, 1331, 1286, -1, 1323, 1286, 1228, -1,
 1286, 1241, 1228, -1, 1228, 1241, 1217, -1, 1228, 1217, 1208, -1,
 1208, 1217, 1242, -1, 1208, 1242, 1229, -1, 1229, 1242, 1287, -1,
 1229, 1287, 1324, -1, 1287, 1332, 1324, -1, 1324, 1332, 1465, -1,
 1324, 1465, 1459, -1, 1459, 1465, 1657, -1, 1459, 1657, 1648, -1,
 1648, 1657, 1766, -1, 1648, 1766, 1820, -1, 1766, 1826, 1820, -1,
 1820, 1826, 1923, -1, 1820, 1923, 1911, -1, 1911, 1923, 2018, -1,
 1911, 2018, 2013, -1, 2013, 2018, 2066, -1, 2013, 2066, 2116, -1,
 2066, 2120, 2116, -1, 2116, 2120, 2215, -1, 2116, 2215, 2211, -1,
 2211, 2215, 2291, -1, 2211, 2291, 2287, -1, 2287, 2291, 2335, -1,
 2287, 2335, 2380, -1, 2335, 2384, 2380, -1, 2380, 2384, 2460, -1,
 2380, 2460, 2458, -1, 2458, 2460, 2520, -1, 2458, 2520, 2524, -1,
 2524, 2520, 2584, -1, 2524, 2584, 2616, -1, 2584, 2612, 2616, -1,
 2616, 2612, 2696, -1, 2616, 2696, 2700, -1, 2700, 2696, 2775, -1,
 2700, 2775, 2779, -1, 2779, 2775, 2833, -1, 2779, 2833, 2885, -1,
 2833, 2880, 2885, -1, 2885, 2880, 2973, -1, 2885, 2973, 2985, -1,
 2985, 2973, 3081, -1, 2985, 3081, 3092, -1, 3092, 3081, 3157, -1,
 3092, 3157, 3283, -1, 3157, 3274, 3283, -1, 3283, 3274, 3474, -1,
 3283, 3474, 3479, -1, 3479, 3474, 3604, -1, 3479, 3604, 3615, -1,
 3615, 3604, 3652, -1, 3615, 3652, 3718, -1, 3652, 3702, 3718, -1,
 3718, 3702, 3731, -1, 3718, 3731, 3742, -1, 3742, 3731, 3701, -1,
 3742, 3701, 3717, -1, 3717, 3701, 3651, -1, 3717, 3651, 3614, -1,
 3651, 3603, 3614, -1, 3614, 3603, 3473, -1, 3614, 3473, 3478, -1,
 3478, 3473, 3273, -1, 3478, 3273, 3282, -1, 3282, 3273, 3156, -1,
 3282, 3156, 3091, -1, 3156, 3080, 3091, -1, 3091, 3080, 2972, -1,
 3091, 2972, 2984, -1, 2984, 2972, 2879, -1, 2984, 2879, 2884, -1,
 2884, 2879, 2832, -1, 2884, 2832, 2778, -1, 2832, 2774, 2778, -1,
 2778, 2774, 2695, -1, 2778, 2695, 2699, -1, 2699, 2695, 2611, -1,
 2699, 2611, 2615, -1, 2615, 2611, 2583, -1, 2615, 2583, 2523, -1,
 2583, 2519, 2523, -1, 2523, 2519, 2459, -1, 2523, 2459, 2457, -1,
 2457, 2459, 2383, -1, 2457, 2383, 2379, -1, 2379, 2383, 2334, -1,
 2379, 2334, 2286, -1, 2334, 2290, 2286, -1, 2286, 2290, 2214, -1,
 2286, 2214, 2210, -1, 2210, 2214, 2119, -1, 2210, 2119, 2115, -1,
 2115, 2119, 2065, -1, 2115, 2065, 2012, -1, 2065, 2017, 2012, -1,
 2012, 2017, 1922, -1, 2012, 1922, 1910, -1, 1910, 1922, 1825, -1,
 1910, 1825, 1819, -1, 1819, 1825, 1765, -1, 1819, 1765, 1647, -1,
 1647, 1765, 1656, -1, 1647, 1656, 1464, -1, 1910, 2006, 2012, -1,
 2012, 2006, 2111, -1, 2012, 2111, 2115, -1, 2115, 2111, 2202, -1,
 2115, 2202, 2210, -1, 2210, 2202, 2281, -1, 2210, 2281, 2286, -1,
 2286, 2281, 2374, -1, 2286, 2374, 2379, -1, 2379, 2374, 2455, -1,
 2379, 2455, 2457, -1, 2457, 2455, 2528, -1, 2457, 2528, 2523, -1,
 2523, 2528, 2620, -1, 2523, 2620, 2615, -1, 2615, 2620, 2708, -1,
 2615, 2708, 2699, -1, 2699, 2708, 2782, -1, 2699, 2782, 2778, -1,
 2778, 2782, 2890, -1, 2778, 2890, 2884, -1, 2884, 2890, 2989, -1,
 2884, 2989, 2984, -1, 2984, 2989, 3106, -1, 2984, 3106, 3091, -1,
 3091, 3106, 3314, -1, 3091, 3314, 3282, -1, 3282, 3314, 3499, -1,
 3282, 3499, 3478, -1, 3478, 3499, 3638, -1, 3478, 3638, 3614, -1,
 3614, 3638, 3737, -1, 3614, 3737, 3717, -1, 3717, 3737, 3774, -1,
 3717, 3774, 3742, -1, 3742, 3774, 3738, -1, 3742, 3738, 3718, -1,
 3718, 3738, 3639, -1, 3718, 3639, 3615, -1, 3615, 3639, 3500, -1,
 3615, 3500, 3479, -1, 3479, 3500, 3315, -1, 3479, 3315, 3283, -1,
 3283, 3315, 3107, -1, 3283, 3107, 3092, -1, 3092, 3107, 2990, -1,
 3092, 2990, 2985, -1, 2985, 2990, 2891, -1, 2985, 2891, 2885, -1,
 2885, 2891, 2783, -1, 2885, 2783, 2779, -1, 2779, 2783, 2709, -1,
 2779, 2709, 2700, -1, 2700, 2709, 2621, -1, 2700, 2621, 2616, -1,
 2616, 2621, 2529, -1, 2616, 2529, 2524, -1, 2524, 2529, 2456, -1,
 2524, 2456, 2458, -1, 2458, 2456, 2375, -1, 2458, 2375, 2380, -1,
 2380, 2375, 2282, -1, 2380, 2282, 2287, -1, 2287, 2282, 2203, -1,
 2287, 2203, 2211, -1, 2211, 2203, 2112, -1, 2211, 2112, 2116, -1,
 2116, 2112, 2007, -1, 2116, 2007, 2013, -1, 2013, 2007, 1906, -1,
 2013, 1906, 1911, -1, 1911, 1906, 1809, -1, 1911, 1809, 1820, -1,
 1820, 1809, 1617, -1, 1820, 1617, 1648, -1, 1648, 1617, 1440, -1,
 1648, 1440, 1459, -1, 1459, 1440, 1300, -1, 1459, 1300, 1324, -1,
 1324, 1300, 1211, -1, 1324, 1211, 1229, -1, 1229, 1211, 1189, -1,
 1229, 1189, 1208, -1, 1208, 1189, 1210, -1, 1208, 1210, 1228, -1,
 1228, 1210, 1299, -1, 1228, 1299, 1323, -1, 1323, 1299, 1439, -1,
 1323, 1439, 1458, -1, 1458, 1439, 1616, -1, 1458, 1616, 1647, -1,
 1647, 1616, 1808, -1, 1647, 1808, 1819, -1, 1819, 1808, 1905, -1,
 1819, 1905, 1910, -1, 1910, 1905, 2006, -1, 1905, 1994, 2006, -1,
 2006, 1994, 2107, -1, 2006, 2107, 2111, -1, 2111, 2107, 2195, -1,
 2111, 2195, 2202, -1, 2202, 2195, 2275, -1, 2202, 2275, 2281, -1,
 2281, 2275, 2369, -1, 2281, 2369, 2374, -1, 2374, 2369, 2453, -1,
 2374, 2453, 2455, -1, 2455, 2453, 2533, -1, 2455, 2533, 2528, -1,
 2528, 2533, 2626, -1, 2528, 2626, 2620, -1, 2620, 2626, 2713, -1,
 2620, 2713, 2708, -1, 2708, 2713, 2786, -1, 2708, 2786, 2782, -1,
 2782, 2786, 2900, -1, 2782, 2900, 2890, -1, 2890, 2900, 2996, -1,
 2890, 2996, 2989, -1, 2989, 2996, 3125, -1, 2989, 3125, 3106, -1,
 3106, 3125, 3342, -1, 3106, 3342, 3314, -1, 3314, 3342, 3545, -1,
 3314, 3545, 3499, -1, 3499, 3545, 3693, -1, 3499, 3693, 3638, -1,
 3638, 3693, 3784, -1, 3638, 3784, 3737, -1, 3737, 3784, 3800, -1,
 3737, 3800, 3774, -1, 3774, 3800, 3785, -1, 3774, 3785, 3738, -1,
 3738, 3785, 3694, -1, 3738, 3694, 3639, -1, 3639, 3694, 3546, -1,
 3639, 3546, 3500, -1, 3500, 3546, 3343, -1, 3500, 3343, 3315, -1,
 3315, 3343, 3126, -1, 3315, 3126, 3107, -1, 3107, 3126, 2997, -1,
 3107, 2997, 2990, -1, 2990, 2997, 2901, -1, 2990, 2901, 2891, -1,
 2891, 2901, 2787, -1, 2891, 2787, 2783, -1, 2783, 2787, 2714, -1,
 2783, 2714, 2709, -1, 2709, 2714, 2627, -1, 2709, 2627, 2621, -1,
 2621, 2627, 2534, -1, 2621, 2534, 2529, -1, 2529, 2534, 2454, -1,
 2529, 2454, 2456, -1, 2456, 2454, 2370, -1, 2456, 2370, 2375, -1,
 2375, 2370, 2276, -1, 2375, 2276, 2282, -1, 2282, 2276, 2196, -1,
 2282, 2196, 2203, -1, 2203, 2196, 2108, -1, 2203, 2108, 2112, -1,
 2112, 2108, 1995, -1, 2112, 1995, 2007, -1, 2007, 1995, 1901, -1,
 2007, 1901, 1906, -1, 1906, 1901, 1792, -1, 1906, 1792, 1809, -1,
 1809, 1792, 1591, -1, 1809, 1591, 1617, -1, 1617, 1591, 1391, -1,
 1617, 1391, 1440, -1, 1440, 1391, 1249, -1, 1440, 1249, 1300, -1,
 1300, 1249, 1177, -1, 1300, 1177, 1211, -1, 1211, 1177, 1162, -1,
 1211, 1162, 1189, -1, 1189, 1162, 1176, -1, 1189, 1176, 1210, -1,
 1210, 1176, 1248, -1, 1210, 1248, 1299, -1, 1299, 1248, 1390, -1,
 1299, 1390, 1439, -1, 1439, 1390, 1590, -1, 1439, 1590, 1616, -1,
 1616, 1590, 1791, -1, 1616, 1791, 1808, -1, 1808, 1791, 1900, -1,
 1808, 1900, 1905, -1, 1905, 1900, 1994, -1, 1900, 1989, 1994, -1,
 1994, 1989, 2098, -1, 1994, 2098, 2107, -1, 2107, 2098, 2183, -1,
 2107, 2183, 2195, -1, 2195, 2183, 2265, -1, 2195, 2265, 2275, -1,
 2275, 2265, 2364, -1, 2275, 2364, 2369, -1, 2369, 2364, 2451, -1,
 2369, 2451, 2453, -1, 2453, 2451, 2538, -1, 2453, 2538, 2533, -1,
 2533, 2538, 2636, -1, 2533, 2636, 2626, -1, 2626, 2636, 2720, -1,
 2626, 2720, 2713, -1, 2713, 2720, 2796, -1, 2713, 2796, 2786, -1,
 2786, 2796, 2905, -1, 2786, 2905, 2900, -1, 2900, 2905, 3010, -1,
 2900, 3010, 2996, -1, 2996, 3010, 3146, -1, 2996, 3146, 3125, -1,
 3125, 3146, 3403, -1, 3125, 3403, 3342, -1, 3342, 3403, 3592, -1,
 3342, 3592, 3545, -1, 3545, 3592, 3753, -1, 3545, 3753, 3693, -1,
 3693, 3753, 3813, -1, 3693, 3813, 3784, -1, 3784, 3813, 3830, -1,
 3784, 3830, 3800, -1, 3800, 3830, 3814, -1, 3800, 3814, 3785, -1,
 3785, 3814, 3754, -1, 3785, 3754, 3694, -1, 3694, 3754, 3593, -1,
 3694, 3593, 3546, -1, 3546, 3593, 3404, -1, 3546, 3404, 3343, -1,
 3343, 3404, 3147, -1, 3343, 3147, 3126, -1, 3126, 3147, 3011, -1,
 3126, 3011, 2997, -1, 2997, 3011, 2906, -1, 2997, 2906, 2901, -1,
 2901, 2906, 2797, -1, 2901, 2797, 2787, -1, 2787, 2797, 2721, -1,
 2787, 2721, 2714, -1, 2714, 2721, 2637, -1, 2714, 2637, 2627, -1,
 2627, 2637, 2539, -1, 2627, 2539, 2534, -1, 2534, 2539, 2452, -1,
 2534, 2452, 2454, -1, 2454, 2452, 2365, -1, 2454, 2365, 2370, -1,
 2370, 2365, 2266, -1, 2370, 2266, 2276, -1, 2276, 2266, 2184, -1,
 2276, 2184, 2196, -1, 2196, 2184, 2099, -1, 2196, 2099, 2108, -1,
 2108, 2099, 1990, -1, 2108, 1990, 1995, -1, 1995, 1990, 1892, -1,
 1995, 1892, 1901, -1, 1901, 1892, 1773, -1, 1901, 1773, 1792, -1,
 1792, 1773, 1532, -1, 1792, 1532, 1591, -1, 1591, 1532, 1343, -1,
 1591, 1343, 1391, -1, 1391, 1343, 1198, -1, 1391, 1198, 1249, -1,
 1249, 1198, 1148, -1, 1249, 1148, 1177, -1, 1177, 1148, 1130, -1,
 1177, 1130, 1162, -1, 1162, 1130, 1147, -1, 1162, 1147, 1176, -1,
 1176, 1147, 1197, -1, 1176, 1197, 1248, -1, 1248, 1197, 1342, -1,
 1248, 1342, 1390, -1, 1390, 1342, 1531, -1, 1390, 1531, 1590, -1,
 1590, 1531, 1772, -1, 1590, 1772, 1791, -1, 1791, 1772, 1891, -1,
 1791, 1891, 1900, -1, 1900, 1891, 1989, -1, 1891, 1968, 1989, -1,
 1989, 1968, 2086, -1, 1989, 2086, 2098, -1, 2098, 2086, 2172, -1,
 2098, 2172, 2183, -1, 2183, 2172, 2258, -1, 2183, 2258, 2265, -1,
 2265, 2258, 2359, -1, 2265, 2359, 2364, -1, 2364, 2359, 2449, -1,
 2364, 2449, 2451, -1, 2451, 2449, 2543, -1, 2451, 2543, 2538, -1,
 2538, 2543, 2644, -1, 2538, 2644, 2636, -1, 2636, 2644, 2728, -1,
 2636, 2728, 2720, -1, 2720, 2728, 2808, -1, 2720, 2808, 2796, -1,
 2796, 2808, 2926, -1, 2796, 2926, 2905, -1, 2905, 2926, 3019, -1,
 2905, 3019, 3010, -1, 3010, 3019, 3172, -1, 3010, 3172, 3146, -1,
 3146, 3172, 3459, -1, 3146, 3459, 3403, -1, 3403, 3459, 3659, -1,
 3403, 3659, 3592, -1, 3592, 3659, 3802, -1, 3592, 3802, 3753, -1,
 3753, 3802, 3854, -1, 3753, 3854, 3813, -1, 3813, 3854, 3865, -1,
 3813, 3865, 3830, -1, 3830, 3865, 3855, -1, 3830, 3855, 3814, -1,
 3814, 3855, 3803, -1, 3814, 3803, 3754, -1, 3754, 3803, 3660, -1,
 3754, 3660, 3593, -1, 3593, 3660, 3460, -1, 3593, 3460, 3404, -1,
 3404, 3460, 3173, -1, 3404, 3173, 3147, -1, 3147, 3173, 3020, -1,
 3147, 3020, 3011, -1, 3011, 3020, 2927, -1, 3011, 2927, 2906, -1,
 2906, 2927, 2809, -1, 2906, 2809, 2797, -1, 2797, 2809, 2729, -1,
 2797, 2729, 2721, -1, 2721, 2729, 2645, -1, 2721, 2645, 2637, -1,
 2637, 2645, 2544, -1, 2637, 2544, 2539, -1, 2539, 2544, 2450, -1,
 2539, 2450, 2452, -1, 2452, 2450, 2360, -1, 2452, 2360, 2365, -1,
 2365, 2360, 2259, -1, 2365, 2259, 2266, -1, 2266, 2259, 2173, -1,
 2266, 2173, 2184, -1, 2184, 2173, 2087, -1, 2184, 2087, 2099, -1,
 2099, 2087, 1969, -1, 2099, 1969, 1990, -1, 1990, 1969, 1882, -1,
 1990, 1882, 1892, -1, 1892, 1882, 1753, -1, 1892, 1753, 1773, -1,
 1773, 1753, 1478, -1, 1773, 1478, 1532, -1, 1532, 1478, 1279, -1,
 1532, 1279, 1343, -1, 1343, 1279, 1159, -1, 1343, 1159, 1198, -1,
 1198, 1159, 1105, -1, 1198, 1105, 1148, -1, 1148, 1105, 1097, -1,
 1148, 1097, 1130, -1, 1130, 1097, 1104, -1, 1130, 1104, 1147, -1,
 1147, 1104, 1158, -1, 1147, 1158, 1197, -1, 1197, 1158, 1278, -1,
 1197, 1278, 1342, -1, 1342, 1278, 1477, -1, 1342, 1477, 1531, -1,
 1531, 1477, 1752, -1, 1531, 1752, 1772, -1, 1772, 1752, 1881, -1,
 1772, 1881, 1891, -1, 1891, 1881, 1968, -1, 1881, 1953, 1968, -1,
 1968, 1953, 2078, -1, 1968, 2078, 2086, -1, 2086, 2078, 2162, -1,
 2086, 2162, 2172, -1, 2172, 2162, 2248, -1, 2172, 2248, 2258, -1,
 2258, 2248, 2355, -1, 2258, 2355, 2359, -1, 2359, 2355, 2447, -1,
 2359, 2447, 2449, -1, 2449, 2447, 2547, -1, 2449, 2547, 2543, -1,
 2543, 2547, 2651, -1, 2543, 2651, 2644, -1, 2644, 2651, 2738, -1,
 2644, 2738, 2728, -1, 2728, 2738, 2816, -1, 2728, 2816, 2808, -1,
 2808, 2816, 2939, -1, 2808, 2939, 2926, -1, 2926, 2939, 3041, -1,
 2926, 3041, 3019, -1, 3019, 3041, 3251, -1, 3019, 3251, 3172, -1,
 3172, 3251, 3514, -1, 3172, 3514, 3459, -1, 3459, 3514, 3727, -1,
 3459, 3727, 3659, -1, 3659, 3727, 3840, -1, 3659, 3840, 3802, -1,
 3802, 3840, 3881, -1, 3802, 3881, 3854, -1, 3854, 3881, 3891, -1,
 3854, 3891, 3865, -1, 3865, 3891, 3882, -1, 3865, 3882, 3855, -1,
 3855, 3882, 3841, -1, 3855, 3841, 3803, -1, 3803, 3841, 3728, -1,
 3803, 3728, 3660, -1, 3660, 3728, 3515, -1, 3660, 3515, 3460, -1,
 3460, 3515, 3252, -1, 3460, 3252, 3173, -1, 3173, 3252, 3042, -1,
 3173, 3042, 3020, -1, 3020, 3042, 2940, -1, 3020, 2940, 2927, -1,
 2927, 2940, 2817, -1, 2927, 2817, 2809, -1, 2809, 2817, 2739, -1,
 2809, 2739, 2729, -1, 2729, 2739, 2652, -1, 2729, 2652, 2645, -1,
 2645, 2652, 2548, -1, 2645, 2548, 2544, -1, 2544, 2548, 2448, -1,
 2544, 2448, 2450, -1, 2450, 2448, 2356, -1, 2450, 2356, 2360, -1,
 2360, 2356, 2249, -1, 2360, 2249, 2259, -1, 2259, 2249, 2163, -1,
 2259, 2163, 2173, -1, 2173, 2163, 2079, -1, 2173, 2079, 2087, -1,
 2087, 2079, 1954, -1, 2087, 1954, 1969, -1, 1969, 1954, 1863, -1,
 1969, 1863, 1882, -1, 1882, 1863, 1680, -1, 1882, 1680, 1753, -1,
 1753, 1680, 1423, -1, 1753, 1423, 1478, -1, 1478, 1423, 1220, -1,
 1478, 1220, 1279, -1, 1279, 1220, 1119, -1, 1279, 1119, 1159, -1,
 1159, 1119, 1082, -1, 1159, 1082, 1105, -1, 1105, 1082, 1073, -1,
 1105, 1073, 1097, -1, 1097, 1073, 1081, -1, 1097, 1081, 1104, -1,
 1104, 1081, 1118, -1, 1104, 1118, 1158, -1, 1158, 1118, 1219, -1,
 1158, 1219, 1278, -1, 1278, 1219, 1422, -1, 1278, 1422, 1477, -1,
 1477, 1422, 1679, -1, 1477, 1679, 1752, -1, 1752, 1679, 1862, -1,
 1752, 1862, 1881, -1, 1881, 1862, 1953, -1, 2882, 2835, 2781, -1,
 2614, 2702, 2698, -1, 2698, 2702, 2781, -1, 2698, 2781, 2777, -1,
 2777, 2781, 2835, -1, 2586, 2526, 2614, -1, 2614, 2526, 2618, -1,
 2614, 2618, 2702, -1, 2586, 2522, 2526, -1, 2526, 2522, 2462, -1,
 2526, 2462, 2464, -1, 2464, 2462, 2386, -1, 2464, 2386, 2382, -1,
 2382, 2386, 2337, -1, 2382, 2337, 2289, -1, 2122, 2213, 2217, -1,
 2217, 2213, 2289, -1, 2217, 2289, 2293, -1, 2293, 2289, 2337, -1,
 2068, 2015, 2122, -1, 2122, 2015, 2118, -1, 2122, 2118, 2213, -1,
 1828, 1913, 1925, -1, 1925, 1913, 2015, -1, 1925, 2015, 2020, -1,
 2020, 2015, 2068, -1, 1768, 1650, 1828, -1, 1828, 1650, 1822, -1,
 1828, 1822, 1913, -1, 1334, 1461, 1467, -1, 1467, 1461, 1650, -1,
 1467, 1650, 1659, -1, 1659, 1650, 1768, -1, 1289, 1231, 1334, -1,
 1334, 1231, 1326, -1, 1334, 1326, 1461, -1, 1243, 1209, 1218, -1,
 1218, 1209, 1231, -1, 1218, 1231, 1244, -1, 1244, 1231, 1289, -1,
 1288, 1325, 1243, -1, 1243, 1325, 1230, -1, 1243, 1230, 1209, -1,
 1658, 1460, 1466, -1, 1466, 1460, 1325, -1, 1466, 1325, 1333, -1,
 1333, 1325, 1288, -1, 1767, 1821, 1658, -1, 1658, 1821, 1649, -1,
 1658, 1649, 1460, -1, 2019, 1912, 1924, -1, 1924, 1912, 1821, -1,
 1924, 1821, 1827, -1, 1827, 1821, 1767, -1, 2067, 2117, 2019, -1,
 2019, 2117, 2014, -1, 2019, 2014, 1912, -1, 2292, 2212, 2216, -1,
 2216, 2212, 2117, -1, 2216, 2117, 2121, -1, 2121, 2117, 2067, -1,
 2336, 2381, 2292, -1, 2292, 2381, 2288, -1, 2292, 2288, 2212, -1,
 2521, 2463, 2461, -1, 2461, 2463, 2381, -1, 2461, 2381, 2385, -1,
 2385, 2381, 2336, -1, 2585, 2617, 2521, -1, 2521, 2617, 2525, -1,
 2521, 2525, 2463, -1, 2776, 2701, 2697, -1, 2697, 2701, 2617, -1,
 2697, 2617, 2613, -1, 2613, 2617, 2585, -1, 2834, 2886, 2776, -1,
 2776, 2886, 2780, -1, 2776, 2780, 2701, -1, 3082, 2986, 2974, -1,
 2974, 2986, 2886, -1, 2974, 2886, 2881, -1, 2881, 2886, 2834, -1,
 3158, 3284, 3082, -1, 3082, 3284, 3093, -1, 3082, 3093, 2986, -1,
 3605, 3480, 3475, -1, 3475, 3480, 3284, -1, 3475, 3284, 3275, -1,
 3275, 3284, 3158, -1, 3653, 3719, 3605, -1, 3605, 3719, 3616, -1,
 3605, 3616, 3480, -1, 3704, 3743, 3732, -1, 3732, 3743, 3719, -1,
 3732, 3719, 3703, -1, 3703, 3719, 3653, -1, 3654, 3617, 3704, -1,
 3704, 3617, 3720, -1, 3704, 3720, 3743, -1, 3276, 3481, 3476, -1,
 3476, 3481, 3617, -1, 3476, 3617, 3606, -1, 3606, 3617, 3654, -1,
 3159, 3094, 3276, -1, 3276, 3094, 3285, -1, 3276, 3285, 3481, -1,
 2781, 2887, 2882, -1, 2882, 2887, 2987, -1, 2882, 2987, 2975, -1,
 2975, 2987, 3094, -1, 2975, 3094, 3083, -1, 3083, 3094, 3159, -1,
 2987, 3109, 3094, -1, 3094, 3109, 3317, -1, 3094, 3317, 3285, -1,
 3285, 3317, 3502, -1, 3285, 3502, 3481, -1, 3481, 3502, 3641, -1,
 3481, 3641, 3617, -1, 3617, 3641, 3740, -1, 3617, 3740, 3720, -1,
 3720, 3740, 3775, -1, 3720, 3775, 3743, -1, 3743, 3775, 3739, -1,
 3743, 3739, 3719, -1, 3719, 3739, 3640, -1, 3719, 3640, 3616, -1,
 3616, 3640, 3501, -1, 3616, 3501, 3480, -1, 3480, 3501, 3316, -1,
 3480, 3316, 3284, -1, 3284, 3316, 3108, -1, 3284, 3108, 3093, -1,
 3093, 3108, 2991, -1, 3093, 2991, 2986, -1, 2986, 2991, 2892, -1,
 2986, 2892, 2886, -1, 2886, 2892, 2784, -1, 2886, 2784, 2780, -1,
 2780, 2784, 2710, -1, 2780, 2710, 2701, -1, 2701, 2710, 2622, -1,
 2701, 2622, 2617, -1, 2617, 2622, 2530, -1, 2617, 2530, 2525, -1,
 2525, 2530, 2465, -1, 2525, 2465, 2463, -1, 2463, 2465, 2376, -1,
 2463, 2376, 2381, -1, 2381, 2376, 2283, -1, 2381, 2283, 2288, -1,
 2288, 2283, 2204, -1, 2288, 2204, 2212, -1, 2212, 2204, 2113, -1,
 2212, 2113, 2117, -1, 2117, 2113, 2008, -1, 2117, 2008, 2014, -1,
 2014, 2008, 1907, -1, 2014, 1907, 1912, -1, 1912, 1907, 1810, -1,
 1912, 1810, 1821, -1, 1821, 1810, 1618, -1, 1821, 1618, 1649, -1,
 1649, 1618, 1441, -1, 1649, 1441, 1460, -1, 1460, 1441, 1301, -1,
 1460, 1301, 1325, -1, 1325, 1301, 1212, -1, 1325, 1212, 1230, -1,
 1230, 1212, 1190, -1, 1230, 1190, 1209, -1, 1209, 1190, 1213, -1,
 1209, 1213, 1231, -1, 1231, 1213, 1302, -1, 1231, 1302, 1326, -1,
 1326, 1302, 1442, -1, 1326, 1442, 1461, -1, 1461, 1442, 1619, -1,
 1461, 1619, 1650, -1, 1650, 1619, 1811, -1, 1650, 1811, 1822, -1,
 1822, 1811, 1908, -1, 1822, 1908, 1913, -1, 1913, 1908, 2009, -1,
 1913, 2009, 2015, -1, 2015, 2009, 2114, -1, 2015, 2114, 2118, -1,
 2118, 2114, 2205, -1, 2118, 2205, 2213, -1, 2213, 2205, 2284, -1,
 2213, 2284, 2289, -1, 2289, 2284, 2377, -1, 2289, 2377, 2382, -1,
 2382, 2377, 2466, -1, 2382, 2466, 2464, -1, 2464, 2466, 2531, -1,
 2464, 2531, 2526, -1, 2526, 2531, 2623, -1, 2526, 2623, 2618, -1,
 2618, 2623, 2711, -1, 2618, 2711, 2702, -1, 2702, 2711, 2785, -1,
 2702, 2785, 2781, -1, 2781, 2785, 2893, -1, 2781, 2893, 2887, -1,
 2887, 2893, 2992, -1, 2887, 2992, 2987, -1, 2987, 2992, 3109, -1,
 2992, 3128, 3109, -1, 3109, 3128, 3345, -1, 3109, 3345, 3317, -1,
 3317, 3345, 3548, -1, 3317, 3548, 3502, -1, 3502, 3548, 3696, -1,
 3502, 3696, 3641, -1, 3641, 3696, 3787, -1, 3641, 3787, 3740, -1,
 3740, 3787, 3801, -1, 3740, 3801, 3775, -1, 3775, 3801, 3786, -1,
 3775, 3786, 3739, -1, 3739, 3786, 3695, -1, 3739, 3695, 3640, -1,
 3640, 3695, 3547, -1, 3640, 3547, 3501, -1, 3501, 3547, 3344, -1,
 3501, 3344, 3316, -1, 3316, 3344, 3127, -1, 3316, 3127, 3108, -1,
 3108, 3127, 2998, -1, 3108, 2998, 2991, -1, 2991, 2998, 2902, -1,
 2991, 2902, 2892, -1, 2892, 2902, 2788, -1, 2892, 2788, 2784, -1,
 2784, 2788, 2715, -1, 2784, 2715, 2710, -1, 2710, 2715, 2628, -1,
 2710, 2628, 2622, -1, 2622, 2628, 2535, -1, 2622, 2535, 2530, -1,
 2530, 2535, 2467, -1, 2530, 2467, 2465, -1, 2465, 2467, 2371, -1,
 2465, 2371, 2376, -1, 2376, 2371, 2277, -1, 2376, 2277, 2283, -1,
 2283, 2277, 2197, -1, 2283, 2197, 2204, -1, 2204, 2197, 2109, -1,
 2204, 2109, 2113, -1, 2113, 2109, 1996, -1, 2113, 1996, 2008, -1,
 2008, 1996, 1902, -1, 2008, 1902, 1907, -1, 1907, 1902, 1793, -1,
 1907, 1793, 1810, -1, 1810, 1793, 1592, -1, 1810, 1592, 1618, -1,
 1618, 1592, 1392, -1, 1618, 1392, 1441, -1, 1441, 1392, 1250, -1,
 1441, 1250, 1301, -1, 1301, 1250, 1178, -1, 1301, 1178, 1212, -1,
 1212, 1178, 1163, -1, 1212, 1163, 1190, -1, 1190, 1163, 1179, -1,
 1190, 1179, 1213, -1, 1213, 1179, 1251, -1, 1213, 1251, 1302, -1,
 1302, 1251, 1393, -1, 1302, 1393, 1442, -1, 1442, 1393, 1593, -1,
 1442, 1593, 1619, -1, 1619, 1593, 1794, -1, 1619, 1794, 1811, -1,
 1811, 1794, 1903, -1, 1811, 1903, 1908, -1, 1908, 1903, 1997, -1,
 1908, 1997, 2009, -1, 2009, 1997, 2110, -1, 2009, 2110, 2114, -1,
 2114, 2110, 2198, -1, 2114, 2198, 2205, -1, 2205, 2198, 2278, -1,
 2205, 2278, 2284, -1, 2284, 2278, 2372, -1, 2284, 2372, 2377, -1,
 2377, 2372, 2468, -1, 2377, 2468, 2466, -1, 2466, 2468, 2536, -1,
 2466, 2536, 2531, -1, 2531, 2536, 2629, -1, 2531, 2629, 2623, -1,
 2623, 2629, 2716, -1, 2623, 2716, 2711, -1, 2711, 2716, 2789, -1,
 2711, 2789, 2785, -1, 2785, 2789, 2903, -1, 2785, 2903, 2893, -1,
 2893, 2903, 2999, -1, 2893, 2999, 2992, -1, 2992, 2999, 3128, -1,
 2999, 3149, 3128, -1, 3128, 3149, 3406, -1, 3128, 3406, 3345, -1,
 3345, 3406, 3595, -1, 3345, 3595, 3548, -1, 3548, 3595, 3756, -1,
 3548, 3756, 3696, -1, 3696, 3756, 3816, -1, 3696, 3816, 3787, -1,
 3787, 3816, 3831, -1, 3787, 3831, 3801, -1, 3801, 3831, 3815, -1,
 3801, 3815, 3786, -1, 3786, 3815, 3755, -1, 3786, 3755, 3695, -1,
 3695, 3755, 3594, -1, 3695, 3594, 3547, -1, 3547, 3594, 3405, -1,
 3547, 3405, 3344, -1, 3344, 3405, 3148, -1, 3344, 3148, 3127, -1,
 3127, 3148, 3012, -1, 3127, 3012, 2998, -1, 2998, 3012, 2907, -1,
 2998, 2907, 2902, -1, 2902, 2907, 2798, -1, 2902, 2798, 2788, -1,
 2788, 2798, 2722, -1, 2788, 2722, 2715, -1, 2715, 2722, 2638, -1,
 2715, 2638, 2628, -1, 2628, 2638, 2540, -1, 2628, 2540, 2535, -1,
 2535, 2540, 2469, -1, 2535, 2469, 2467, -1, 2467, 2469, 2366, -1,
 2467, 2366, 2371, -1, 2371, 2366, 2267, -1, 2371, 2267, 2277, -1,
 2277, 2267, 2185, -1, 2277, 2185, 2197, -1, 2197, 2185, 2100, -1,
 2197, 2100, 2109, -1, 2109, 2100, 1991, -1, 2109, 1991, 1996, -1,
 1996, 1991, 1893, -1, 1996, 1893, 1902, -1, 1902, 1893, 1774, -1,
 1902, 1774, 1793, -1, 1793, 1774, 1533, -1, 1793, 1533, 1592, -1,
 1592, 1533, 1344, -1, 1592, 1344, 1392, -1, 1392, 1344, 1199, -1,
 1392, 1199, 1250, -1, 1250, 1199, 1149, -1, 1250, 1149, 1178, -1,
 1178, 1149, 1131, -1, 1178, 1131, 1163, -1, 1163, 1131, 1150, -1,
 1163, 1150, 1179, -1, 1179, 1150, 1200, -1, 1179, 1200, 1251, -1,
 1251, 1200, 1345, -1, 1251, 1345, 1393, -1, 1393, 1345, 1534, -1,
 1393, 1534, 1593, -1, 1593, 1534, 1775, -1, 1593, 1775, 1794, -1,
 1794, 1775, 1894, -1, 1794, 1894, 1903, -1, 1903, 1894, 1992, -1,
 1903, 1992, 1997, -1, 1997, 1992, 2101, -1, 1997, 2101, 2110, -1,
 2110, 2101, 2186, -1, 2110, 2186, 2198, -1, 2198, 2186, 2268, -1,
 2198, 2268, 2278, -1, 2278, 2268, 2367, -1, 2278, 2367, 2372, -1,
 2372, 2367, 2470, -1, 2372, 2470, 2468, -1, 2468, 2470, 2541, -1,
 2468, 2541, 2536, -1, 2536, 2541, 2639, -1, 2536, 2639, 2629, -1,
 2629, 2639, 2723, -1, 2629, 2723, 2716, -1, 2716, 2723, 2799, -1,
 2716, 2799, 2789, -1, 2789, 2799, 2908, -1, 2789, 2908, 2903, -1,
 2903, 2908, 3013, -1, 2903, 3013, 2999, -1, 2999, 3013, 3149, -1,
 3013, 3175, 3149, -1, 3149, 3175, 3462, -1, 3149, 3462, 3406, -1,
 3406, 3462, 3662, -1, 3406, 3662, 3595, -1, 3595, 3662, 3805, -1,
 3595, 3805, 3756, -1, 3756, 3805, 3857, -1, 3756, 3857, 3816, -1,
 3816, 3857, 3866, -1, 3816, 3866, 3831, -1, 3831, 3866, 3856, -1,
 3831, 3856, 3815, -1, 3815, 3856, 3804, -1, 3815, 3804, 3755, -1,
 3755, 3804, 3661, -1, 3755, 3661, 3594, -1, 3594, 3661, 3461, -1,
 3594, 3461, 3405, -1, 3405, 3461, 3174, -1, 3405, 3174, 3148, -1,
 3148, 3174, 3021, -1, 3148, 3021, 3012, -1, 3012, 3021, 2928, -1,
 3012, 2928, 2907, -1, 2907, 2928, 2810, -1, 2907, 2810, 2798, -1,
 2798, 2810, 2730, -1, 2798, 2730, 2722, -1, 2722, 2730, 2646, -1,
 2722, 2646, 2638, -1, 2638, 2646, 2545, -1, 2638, 2545, 2540, -1,
 2540, 2545, 2471, -1, 2540, 2471, 2469, -1, 2469, 2471, 2361, -1,
 2469, 2361, 2366, -1, 2366, 2361, 2260, -1, 2366, 2260, 2267, -1,
 2267, 2260, 2174, -1, 2267, 2174, 2185, -1, 2185, 2174, 2088, -1,
 2185, 2088, 2100, -1, 2100, 2088, 1970, -1, 2100, 1970, 1991, -1,
 1991, 1970, 1883, -1, 1991, 1883, 1893, -1, 1893, 1883, 1754, -1,
 1893, 1754, 1774, -1, 1774, 1754, 1479, -1, 1774, 1479, 1533, -1,
 1533, 1479, 1280, -1, 1533, 1280, 1344, -1, 1344, 1280, 1160, -1,
 1344, 1160, 1199, -1, 1199, 1160, 1106, -1, 1199, 1106, 1149, -1,
 1149, 1106, 1098, -1, 1149, 1098, 1131, -1, 1131, 1098, 1107, -1,
 1131, 1107, 1150, -1, 1150, 1107, 1161, -1, 1150, 1161, 1200, -1,
 1200, 1161, 1281, -1, 1200, 1281, 1345, -1, 1345, 1281, 1480, -1,
 1345, 1480, 1534, -1, 1534, 1480, 1755, -1, 1534, 1755, 1775, -1,
 1775, 1755, 1884, -1, 1775, 1884, 1894, -1, 1894, 1884, 1971, -1,
 1894, 1971, 1992, -1, 1992, 1971, 2089, -1, 1992, 2089, 2101, -1,
 2101, 2089, 2175, -1, 2101, 2175, 2186, -1, 2186, 2175, 2261, -1,
 2186, 2261, 2268, -1, 2268, 2261, 2362, -1, 2268, 2362, 2367, -1,
 2367, 2362, 2472, -1, 2367, 2472, 2470, -1, 2470, 2472, 2546, -1,
 2470, 2546, 2541, -1, 2541, 2546, 2647, -1, 2541, 2647, 2639, -1,
 2639, 2647, 2731, -1, 2639, 2731, 2723, -1, 2723, 2731, 2811, -1,
 2723, 2811, 2799, -1, 2799, 2811, 2929, -1, 2799, 2929, 2908, -1,
 2908, 2929, 3022, -1, 2908, 3022, 3013, -1, 3013, 3022, 3175, -1,
 3022, 3254, 3175, -1, 3175, 3254, 3517, -1, 3175, 3517, 3462, -1,
 3462, 3517, 3730, -1, 3462, 3730, 3662, -1, 3662, 3730, 3843, -1,
 3662, 3843, 3805, -1, 3805, 3843, 3884, -1, 3805, 3884, 3857, -1,
 3857, 3884, 3892, -1, 3857, 3892, 3866, -1, 3866, 3892, 3883, -1,
 3866, 3883, 3856, -1, 3856, 3883, 3842, -1, 3856, 3842, 3804, -1,
 3804, 3842, 3729, -1, 3804, 3729, 3661, -1, 3661, 3729, 3516, -1,
 3661, 3516, 3461, -1, 3461, 3516, 3253, -1, 3461, 3253, 3174, -1,
 3174, 3253, 3043, -1, 3174, 3043, 3021, -1, 3021, 3043, 2941, -1,
 3021, 2941, 2928, -1, 2928, 2941, 2818, -1, 2928, 2818, 2810, -1,
 2810, 2818, 2740, -1, 2810, 2740, 2730, -1, 2730, 2740, 2653, -1,
 2730, 2653, 2646, -1, 2646, 2653, 2549, -1, 2646, 2549, 2545, -1,
 2545, 2549, 2473, -1, 2545, 2473, 2471, -1, 2471, 2473, 2357, -1,
 2471, 2357, 2361, -1, 2361, 2357, 2250, -1, 2361, 2250, 2260, -1,
 2260, 2250, 2164, -1, 2260, 2164, 2174, -1, 2174, 2164, 2080, -1,
 2174, 2080, 2088, -1, 2088, 2080, 1955, -1, 2088, 1955, 1970, -1,
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