1: [1, 1, 0], [0, 1, -1], [2, 1, 3], [1, 2, -3], [0, 2, -4],
2: [1, 1, -1], [0, 1, -2], [2, 1, 2], [3, 2, 1], [2, 2, -4], [6, 4, 4],
3: [1, 1, -2], [0, 1, -3], [2, 1, 1], [4, 2, 4],
4: [2, 1, 0], [1, 1, -3],
5: [2, 1, -1], [1, 1, -4], [3, 1, 4], [9, 4, 1],
6: [2, 1, -2], [3, 1, 3], [5, 2, 1], [10, 4, 4],
7: [2, 1, -3], [3, 1, 2], [8, 3, 1], [16, 6, 4],
8: [2, 1, -4], [3, 1, 1], [6, 2, 4],
9: [3, 1, 0],
10: [3, 1, -1], [19, 6, 1], [6, 2, -4], [38, 12, 4],
11: [3, 1, -2], [10, 3, 1], [20, 6, 4],
12: [3, 1, -3], [4, 1, 4], [7, 2, 1],
13: [3, 1, -4], [4, 1, 3], [7, 2, -3], [11, 3, 4], [18, 5, -1], [649, 180, 1],
14: [4, 1, 2], [15, 4, 1], [30, 8, 4],
15: [4, 1, 1], [8, 2, 4],
16: [4, 1, 0],
17: [4, 1, -1], [33, 8, 1], [8, 2, -4], [66, 16, 4],
18: [4, 1, -2], [17, 4, 1], [34, 8, 4],
19: [4, 1, -3], [13, 3, -2], [170, 39, 1], [340, 78, 4],
20: [4, 1, -4], [9, 2, 1], [18, 4, 4],
21: [5, 1, 4], [9, 2, -3], [55, 12, 1],
22: [5, 1, 3], [14, 3, -2], [197, 42, 1], [394, 84, 4],
23: [5, 1, 2], [24, 5, 1], [48, 10, 4],
24: [5, 1, 1], [10, 2, 4],
25: [5, 1, 0],
26: [5, 1, -1], [51, 10, 1], [10, 2, -4], [102, 20, 4],
27: [5, 1, -2], [26, 5, 1], [52, 10, 4],
28: [5, 1, -3], [16, 3, 4], [127, 24, 1],
29: [5, 1, -4], [27, 5, 4], [70, 13, -1], [9801, 1820, 1],
30: [11, 2, 1], [22, 4, 4],
31: [11, 2, -3], [39, 7, 2], [1520, 273, 1], [3040, 546, 4],
32: [6, 1, 4], [17, 3, 1],
33: [6, 1, 3], [23, 4, 1], [46, 8, 4],
34: [6, 1, 2], [35, 6, 1], [70, 12, 4],
35: [6, 1, 1], [12, 2, 4],
36: [6, 1, 0],
37: [6, 1, -1], [73, 12, 1], [12, 2, -4], [146, 24, 4],
38: [6, 1, -2], [37, 6, 1], [74, 12, 4],
39: [6, 1, -3], [25, 4, 1], [50, 8, 4],
40: [6, 1, -4], [19, 3, 1], [38, 6, 4],
41: [32, 5, -1], [2049, 320, 1], [64, 10, -4], [4098, 640, 4],
42: [13, 2, 1], [26, 4, 4],
43: [13, 2, -3], [59, 9, -2], [3482, 531, 1], [6964, 1062, 4],
44: [20, 3, 4], [199, 30, 1],
45: [7, 1, 4], [161, 24, 1],
46: [7, 1, 3], [156, 23, 2], [24335, 3588, 1], [48670, 7176, 4],
47: [7, 1, 2], [48, 7, 1], [96, 14, 4],
48: [7, 1, 1], [14, 2, 4],
49: [7, 1, 0],
50: [7, 1, -1], [99, 14, 1], [14, 2, -4], [198, 28, 4],
51: [7, 1, -2], [50, 7, 1], [100, 14, 4],
52: [7, 1, -3], [36, 5, -4], [649, 90, 1], [1298, 180, 4],
53: [7, 1, -4], [51, 7, 4], [182, 25, -1], [66249, 9100, 1],
54: [22, 3, -2], [485, 66, 1], [970, 132, 4],
55: [89, 12, 1], [178, 24, 4],
56: [15, 2, 1], [30, 4, 4],
57: [15, 2, -3], [151, 20, 1], [302, 40, 4],
58: [99, 13, -1], [19603, 2574, 1], [198, 26, -4], [39206, 5148, 4],
59: [23, 3, -2], [530, 69, 1], [1060, 138, 4],
60: [8, 1, 4], [31, 4, 1],
61: [8, 1, 3], [39, 5, -4], [1523, 195, 4], [5639, 722, -3], [29718, 3805, -1], [1766319049, 226153980, 1],
62: [8, 1, 2], [63, 8, 1], [126, 16, 4],
63: [8, 1, 1], [16, 2, 4],
64: [8, 1, 0],
65: [8, 1, -1], [129, 16, 1], [16, 2, -4], [258, 32, 4],
66: [8, 1, -2], [65, 8, 1], [130, 16, 4],
67: [8, 1, -3], [221, 27, -2], [48842, 5967, 1], [97684, 11934, 4],
68: [8, 1, -4], [33, 4, 1], [66, 8, 4],
69: [25, 3, 4], [108, 13, 3], [7775, 936, 1],
70: [251, 30, 1], [502, 60, 4],
71: [59, 7, 2], [3480, 413, 1], [6960, 826, 4],
72: [17, 2, 1], [34, 4, 4],
73: [17, 2, -3], [94, 11, 3], [1068, 125, -1], [2281249, 267000, 1], [2136, 250, -4], [4562498, 534000, 4],
74: [43, 5, -1], [3699, 430, 1], [86, 10, -4], [7398, 860, 4],
75: [26, 3, 1], [52, 6, 4],
76: [61, 7, -3], [340, 39, 4], [57799, 6630, 1],
77: [9, 1, 4], [351, 40, 1],
78: [9, 1, 3], [53, 6, 1], [106, 12, 4],
79: [9, 1, 2], [80, 9, 1], [160, 18, 4],
80: [9, 1, 1], [18, 2, 4],
81: [9, 1, 0],
82: [9, 1, -1], [163, 18, 1], [18, 2, -4], [326, 36, 4],
83: [9, 1, -2], [82, 9, 1], [164, 18, 4],
84: [9, 1, -3], [55, 6, 1], [110, 12, 4],
85: [9, 1, -4], [83, 9, 4], [378, 41, -1], [285769, 30996, 1],
86: [102, 11, -2], [10405, 1122, 1], [20810, 2244, 4],
87: [28, 3, 1], [56, 6, 4],
88: [197, 21, 1], [394, 42, 4],
89: [500, 53, -1], [500001, 53000, 1], [1000, 106, -4], [1000002, 106000, 4],
90: [19, 2, 1], [38, 4, 4],
91: [19, 2, -3], [1574, 165, 1], [3148, 330, 4],
92: [48, 5, 4], [1151, 120, 1],
93: [29, 3, 4], [135, 14, -3], [12151, 1260, 1],
94: [223, 23, 3], [1464, 151, 2], [2143295, 221064, 1], [4286590, 442128, 4],
95: [39, 4, 1], [78, 8, 4],
96: [10, 1, 4], [49, 5, 1],
97: [10, 1, 3], [847, 86, -3], [5604, 569, -1], [62809633, 6377352, 1], [11208, 1138, -4], [125619266, 12754704, 4],
98: [10, 1, 2], [99, 10, 1], [198, 20, 4],
99: [10, 1, 1], [20, 2, 4],
100: [10, 1, 0],
101: [10, 1, -1], [201, 20, 1], [20, 2, -4], [402, 40, 4],
102: [10, 1, -2], [101, 10, 1], [202, 20, 4],
103: [10, 1, -3], [477, 47, 2], [227528, 22419, 1], [455056, 44838, 4],
104: [10, 1, -4], [51, 5, 1], [102, 10, 4],
105: [41, 4, 1], [82, 8, 4],
106: [4005, 389, -1], [32080051, 3115890, 1], [8010, 778, -4], [64160102, 6231780, 4],
107: [31, 3, -2], [962, 93, 1], [1924, 186, 4],
108: [52, 5, 4], [1351, 130, 1],
109: [261, 25, -4], [1399, 134, -3], [9532, 913, 3], [68123, 6525, 4], [8890182, 851525, -1], [158070671986249, 15140424455100, 1],
110: [21, 2, 1], [42, 4, 4],
111: [21, 2, -3], [295, 28, 1], [590, 56, 4],
112: [127, 12, 1], [254, 24, 4],
113: [776, 73, -1], [1204353, 113296, 1], [1552, 146, -4], [2408706, 226592, 4],
114: [32, 3, -2], [1025, 96, 1], [2050, 192, 4],
115: [1126, 105, 1], [2252, 210, 4],
116: [140, 13, -4], [9801, 910, 1], [19602, 1820, 4],
117: [11, 1, 4], [649, 60, 1],
118: [11, 1, 3], [554, 51, -2], [306917, 28254, 1], [613834, 56508, 4],
119: [11, 1, 2], [120, 11, 1], [240, 22, 4],
120: [11, 1, 1], [22, 2, 4],
121: [11, 1, 0],
122: [11, 1, -1], [243, 22, 1], [22, 2, -4], [486, 44, 4],
123: [11, 1, -2], [122, 11, 1], [244, 22, 4],
124: [11, 1, -3], [3040, 273, 4], [4620799, 414960, 1],
125: [11, 1, -4], [123, 11, 4], [682, 61, -1], [930249, 83204, 1],
126: [449, 40, 1], [898, 80, 4],
127: [293, 26, -3], [2175, 193, 2], [4730624, 419775, 1], [9461248, 839550, 4],
128: [34, 3, 4], [577, 51, 1],
129: [159, 14, -3], [16855, 1484, 1], [33710, 2968, 4],
130: [57, 5, -1], [6499, 570, 1], [114, 10, -4], [12998, 1140, 4],
131: [103, 9, -2], [10610, 927, 1], [21220, 1854, 4],
132: [23, 2, 1], [46, 4, 4],
133: [23, 2, -3], [173, 15, 4], [2588599, 224460, 1],
134: [382, 33, -2], [145925, 12606, 1], [291850, 25212, 4],
135: [244, 21, 1], [488, 42, 4],
136: [35, 3, 1], [70, 6, 4],
137: [1744, 149, -1], [6083073, 519712, 1], [3488, 298, -4], [12166146, 1039424, 4],
138: [47, 4, 1], [94, 8, 4],
139: [224, 19, -3], [8807, 747, -2], [77563250, 6578829, 1], [155126500, 13157658, 4],
140: [12, 1, 4], [71, 6, 1],
141: [12, 1, 3], [95, 8, 1], [190, 16, 4],
142: [12, 1, 2], [143, 12, 1], [286, 24, 4],
143: [12, 1, 1], [24, 2, 4],
144: [12, 1, 0],
145: [12, 1, -1], [289, 24, 1], [24, 2, -4], [578, 48, 4],
146: [12, 1, -2], [145, 12, 1], [290, 24, 4],
147: [12, 1, -3], [97, 8, 1], [194, 16, 4],
148: [12, 1, -4], [73, 6, 1], [146, 12, 4],
149: [61, 5, -4], [3723, 305, 4], [113582, 9305, -1], [25801741449, 2113761020, 1],
150: [49, 4, 1], [98, 8, 4],
151: [86, 7, -3], [41571, 3383, 2], [1728148040, 140634693, 1], [3456296080, 281269386, 4],
152: [37, 3, 1], [74, 6, 4],
153: [2177, 176, 1], [4354, 352, 4],
154: [21295, 1716, 1], [42590, 3432, 4],
155: [249, 20, 1], [498, 40, 4],
156: [25, 2, 1], [50, 4, 4],
157: [25, 2, -3], [213, 17, -4], [45371, 3621, 4], [289580, 23111, 3], [4832118, 385645, -1], [46698728731849, 3726964292220, 1],
158: [88, 7, 2], [7743, 616, 1], [15486, 1232, 4],
159: [1324, 105, 1], [2648, 210, 4],
160: [38, 3, 4], [721, 57, 1],
161: [11775, 928, 1], [23550, 1856, 4],
162: [140, 11, -2], [19601, 1540, 1], [39202, 3080, 4],
163: [932, 73, -3], [8005, 627, -2], [64080026, 5019135, 1], [128160052, 10038270, 4],
164: [64, 5, -4], [2049, 160, 1], [4098, 320, 4],
165: [13, 1, 4], [1079, 84, 1],
166: [13, 1, 3], [41242, 3201, -2], [1700902565, 132015642, 1], [3401805130, 264031284, 4],
167: [13, 1, 2], [168, 13, 1], [336, 26, 4],
168: [13, 1, 1], [26, 2, 4],
169: [13, 1, 0],
170: [13, 1, -1], [339, 26, 1], [26, 2, -4], [678, 52, 4],
171: [13, 1, -2], [170, 13, 1], [340, 26, 4],
172: [13, 1, -3], [6964, 531, 4], [24248647, 1848942, 1],
173: [13, 1, -4], [171, 13, 4], [1118, 85, -1], [2499849, 190060, 1],
174: [1451, 110, 1], [2902, 220, 4],
175: [2024, 153, 1], [4048, 306, 4],
176: [199, 15, 1], [398, 30, 4],
177: [306, 23, 3], [62423, 4692, 1], [124846, 9384, 4],
178: [40, 3, -2], [1601, 120, 1], [3202, 240, 4],
179: [2047, 153, -2], [4190210, 313191, 1], [8380420, 626382, 4],
180: [161, 12, 1], [322, 24, 4],
181: [148, 11, 3], [1305, 97, -4], [1703027, 126585, 4], [11262809, 837158, -3], [1111225770, 82596761, -1], [2469645423824185801, 183567298683461940, 1],
182: [27, 2, 1], [54, 4, 4],
183: [27, 2, -3], [487, 36, 1], [974, 72, 4],
184: [24335, 1794, 1], [48670, 3588, 4],
185: [68, 5, -1], [9249, 680, 1], [136, 10, -4], [18498, 1360, 4],
186: [7501, 550, 1], [15002, 1100, 4],
187: [41, 3, -2], [1682, 123, 1], [3364, 246, 4],
188: [96, 7, 4], [4607, 336, 1],
189: [55, 4, 1], [110, 8, 4],
190: [52021, 3774, 1], [104042, 7548, 4],
191: [2999, 217, 2], [8994000, 650783, 1], [17988000, 1301566, 4],
192: [14, 1, 4], [97, 7, 1],
193: [14, 1, 3], [189743, 13658, -3], [1764132, 126985, -1], [6224323426849, 448036604040, 1], [3528264, 253970, -4], [12448646853698, 896073208080, 4],
194: [14, 1, 2], [195, 14, 1], [390, 28, 4],
195: [14, 1, 1], [28, 2, 4],
196: [14, 1, 0],
197: [14, 1, -1], [393, 28, 1], [28, 2, -4], [786, 56, 4],
198: [14, 1, -2], [197, 14, 1], [394, 28, 4],
199: [14, 1, -3], [127539, 9041, 2], [16266196520, 1153080099, 1], [32532393040, 2306160198, 4],
200: [14, 1, -4], [99, 7, 1], [198, 14, 4],
201: [879, 62, -3], [515095, 36332, 1], [1030190, 72664, 4],
202: [3141, 221, -1], [19731763, 1388322, 1], [6282, 442, -4], [39463526, 2776644, 4],
203: [57, 4, 1], [114, 8, 4],
204: [100, 7, 4], [4999, 350, 1],
205: [43, 3, 4], [39689, 2772, 1],
206: [244, 17, 2], [59535, 4148, 1], [119070, 8296, 4],
207: [1151, 80, 1], [2302, 160, 4],
208: [649, 45, 1], [1298, 90, 4],
209: [46551, 3220, 1], [93102, 6440, 4],
210: [29, 2, 1], [58, 4, 4],
211: [29, 2, -3], [527593, 36321, -2], [278354373650, 19162705353, 1], [556708747300, 38325410706, 4],
212: [364, 25, -4], [66249, 4550, 1], [132498, 9100, 4],
213: [73, 5, 4], [540, 37, 3], [194399, 13320, 1],
214: [2443, 167, 3], [833882, 57003, -2], [695359189925, 47533775646, 1], [1390718379850, 95067551292, 4],
215: [44, 3, 1], [88, 6, 4],
216: [485, 33, 1], [970, 66, 4],
217: [383, 26, -3], [3844063, 260952, 1], [7688126, 521904, 4],
218: [251, 17, -1], [126003, 8534, 1], [502, 34, -4], [252006, 17068, 4],
219: [74, 5, 1], [148, 10, 4],
220: [89, 6, 1], [178, 12, 4],
221: [15, 1, 4], [1665, 112, 1],
222: [15, 1, 3], [149, 10, 1], [298, 20, 4],
223: [15, 1, 2], [224, 15, 1], [448, 30, 4],
224: [15, 1, 1], [30, 2, 4],
225: [15, 1, 0],
226: [15, 1, -1], [451, 30, 1], [30, 2, -4], [902, 60, 4],
227: [15, 1, -2], [226, 15, 1], [452, 30, 4],
228: [15, 1, -3], [151, 10, 1], [302, 20, 4],
229: [15, 1, -4], [227, 15, 4], [1710, 113, -1], [5848201, 386460, 1],
230: [91, 6, 1], [182, 12, 4],
231: [76, 5, 1], [152, 10, 4],
232: [198, 13, -4], [19603, 1287, 1], [39206, 2574, 4],
233: [23156, 1517, -1], [1072400673, 70255304, 1], [46312, 3034, -4], [2144801346, 140510608, 4],
234: [5201, 340, 1], [10402, 680, 4],
235: [46, 3, 1], [92, 6, 4],
236: [1060, 69, 4], [561799, 36570, 1],
237: [77, 5, 4], [585, 38, -3], [228151, 14820, 1],
238: [108, 7, 2], [11663, 756, 1], [23326, 1512, 4],
239: [2489, 161, 2], [6195120, 400729, 1], [12390240, 801458, 4],
240: [31, 2, 1], [62, 4, 4],
241: [31, 2, -3], [3433342, 221161, 3], [71011068, 4574225, -1], [10085143557001249, 649641205044600, 1], [142022136, 9148450, -4], [20170287114002498, 1299282410089200, 4],
242: [140, 9, -2], [19601, 1260, 1], [39202, 2520, 4],
243: [265, 17, -2], [70226, 4505, 1], [140452, 9010, 4],
244: [5639, 361, -3], [59436, 3805, -4], [1766319049, 113076990, 1], [3532638098, 226153980, 4],
245: [47, 3, 4], [51841, 3312, 1],
246: [298, 19, -2], [88805, 5662, 1], [177610, 11324, 4],
247: [110, 7, -3], [85292, 5427, 1], [170584, 10854, 4],
248: [63, 4, 1], [126, 8, 4],
249: [3582, 227, 3], [8553815, 542076, 1], [17107630, 1084152, 4],
250: [4443, 281, -1], [39480499, 2496966, 1], [8886, 562, -4], [78960998, 4993932, 4],
251: [1917, 121, -2], [3674890, 231957, 1], [7349780, 463914, 4],
252: [16, 1, 4], [127, 8, 1],
253: [16, 1, 3], [1861, 117, 4], [3222617399, 202604220, 1],
254: [16, 1, 2], [255, 16, 1], [510, 32, 4],
255: [16, 1, 1], [32, 2, 4],
256: [16, 1, 0],
257: [16, 1, -1], [513, 32, 1], [32, 2, -4], [1026, 64, 4],
258: [16, 1, -2], [257, 16, 1], [514, 32, 4],
259: [16, 1, -3], [847225, 52644, 1], [1694450, 105288, 4],
260: [16, 1, -4], [129, 8, 1], [258, 16, 4],
261: [727, 45, 4], [192119201, 11891880, 1],
262: [955, 59, 3], [10246, 633, -2], [104980517, 6485718, 1], [209961034, 12971436, 4],
263: [373, 23, 2], [139128, 8579, 1], [278256, 17158, 4],
264: [65, 4, 1], [130, 8, 4],
265: [6072, 373, -1], [73738369, 4529712, 1], [12144, 746, -4], [147476738, 9059424, 4],
266: [685, 42, 1], [1370, 84, 4],
267: [49, 3, -2], [2402, 147, 1], [4804, 294, 4],
268: [9053, 553, -3], [97684, 5967, 4], [4771081927, 291440214, 1],
269: [82, 5, -1], [13449, 820, 1], [164, 10, -4], [26898, 1640, 4],
270: [5291, 322, 1], [10582, 644, 4],
271: [214, 13, -3], [340551, 20687, 2], [115974983600, 7044978537, 1], [231949967200, 14089957074, 4],
272: [33, 2, 1], [66, 4, 4],
273: [33, 2, -3], [727, 44, 1], [1454, 88, 4],
274: [1407, 85, -1], [3959299, 239190, 1], [2814, 170, -4], [7918598, 478380, 4],
275: [199, 12, 1], [398, 24, 4],
276: [7775, 468, 1], [15550, 936, 4],
277: [233, 14, -3], [2613, 157, -4], [6827771, 410241, 4], [57427216, 3450467, 3], [8920484118, 535979945, -1], [159150073798980475849, 9562401173878027020, 1],
278: [50, 3, -2], [2501, 150, 1], [5002, 300, 4],
279: [1520, 91, 1], [3040, 182, 4],
280: [251, 15, 1], [502, 30, 4],
281: [1063532, 63445, -1], [2262200630049, 134951575480, 1], [2127064, 126890, -4], [4524401260098, 269903150960, 4],
282: [2351, 140, 1], [4702, 280, 4],
283: [1043, 62, -3], [11759, 699, -2], [138274082, 8219541, 1], [276548164, 16439082, 4],
284: [6960, 413, 4], [24220799, 1437240, 1],
285: [17, 1, 4], [2431, 144, 1],
286: [17, 1, 3], [561835, 33222, 1], [1123670, 66444, 4],
287: [17, 1, 2], [288, 17, 1], [576, 34, 4],
288: [17, 1, 1], [34, 2, 4],
289: [17, 1, 0],
290: [17, 1, -1], [579, 34, 1], [34, 2, -4], [1158, 68, 4],
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1829: [81456873, 1904675, 4], [270242224363704372219999, 6318970882787739474200, 1],
1830: [59291, 1386, 1], [118582, 2772, 4],
1831: [30648047506, 716240113, -3], [43795350588094552821, 1023490545293318137, 2], [1918032733134113893633567757731959058040, 44824127254720935022058326058303814477, 1], [3836065466268227787267135515463918116080, 89648254509441870044116652116607628954, 4],
1832: [214, 5, -4], [22899, 535, 1], [45798, 1070, 4],
1833: [2526, 59, 3], [4253783, 99356, 1], [8507566, 198712, 4],
1834: [218268829391589325, 5096735001878706, 1], [436537658783178650, 10193470003757412, 4],
1835: [1097124846, 25611677, 1], [2194249692, 51223354, 4],
1836: [999700, 23331, 4], [499700044999, 11662000350, 1],
1837: [1004944, 23447, 3], [28761577, 671055, 4], [11896195389280834861151, 277557847295851334520, 1],
1838: [4956292, 115607, 2], [24564830389263, 572982049244, 1], [49129660778526, 1145964098488, 4],
1839: [6261, 146, -3], [26133415, 609404, 1], [52266830, 1218808, 4],
1840: [2535751, 59115, 1], [5071502, 118230, 4],
1841: [221708542820333535, 5167203114643592, 1], [443417085640667070, 10334406229287184, 4],
1842: [71116, 1657, -2], [5057485457, 117839212, 1], [10114970914, 235678424, 4],
1843: [246548, 5743, -3], [7061971, 164499, -2], [49871434404842, 1161687167529, 1], [99742868809684, 2323374335058, 4],
1844: [48628220, 1132421, -4], [1182351890184201, 27533808760310, 1], [2364703780368402, 55067617520620, 4],
1845: [43, 1, 4], [39689, 924, 1],
1846: [43, 1, 3], [6289018486180795, 146375038721562, 1], [12578036972361590, 292750077443124, 4],
1847: [43, 1, 2], [1848, 43, 1], [3696, 86, 4],
1848: [43, 1, 1], [86, 2, 4],
1849: [43, 1, 0],
1850: [43, 1, -1], [3699, 86, 1], [86, 2, -4], [7398, 172, 4],
1851: [43, 1, -2], [1850, 43, 1], [3700, 86, 4],
1852: [43, 1, -3], [495025440912736, 11502891625161, 4], [122525093575424340420383502847, 2847111999258371193111475248, 1],
1853: [43, 1, -4], [1851, 43, 4], [39818, 925, -1], [3170946249, 73663300, 1],
1854: [7088832449, 164634120, 1], [14177664898, 329268240, 4],
1855: [7373836, 171207, 1], [14747672, 342414, 4],
1856: [19602, 455, 4], [192119201, 4459455, 1],
1857: [1891163343, 43885706, -3], [2384332526604623767, 55330025645916772, 1], [4768665053209247534, 110660051291833544, 4],
1858: [27630, 641, 2], [763416899, 17710830, 1], [1526833798, 35421660, 4],
1859: [628855930, 14585169, 1], [1257711860, 29170338, 4],
1860: [15871, 368, 1], [31742, 736, 4],
1861: [1881190050, 43607329, -1], [7077752008438005001, 164067346843752900, 1], [3762380100, 87214658, -4], [14155504016876010002, 328134693687505800, 4],
1862: [14982337, 347208, 1], [29964674, 694416, 4],
1863: [6099380351, 141312080, 1], [12198760702, 282624160, 4],
1864: [938319425, 21733404, 1], [1876638850, 43466808, 4],
1865: [243092, 5629, -1], [118187440929, 2736729736, 1], [486184, 11258, -4], [236374881858, 5473459472, 4],
1866: [15551, 360, 1], [31102, 720, 4],
1867: [3932, 91, -3], [296187089, 6854787, -2], [87726791690293922, 2030299407245043, 1], [175453583380587844, 4060598814490086, 4],
1868: [3251252, 75225, 4], [5285319783751, 122287715850, 1],
1869: [25723, 595, 4], [8510103765449, 196847636580, 1],
1870: [19682191, 455148, 1], [39364382, 910296, 4],
1871: [3867902577271, 89420816897, 2], [14960670347259644125807440, 345871008137584484948087, 1], [29921340694519288251614880, 691742016275168969896174, 4],
1872: [649, 15, 1], [1298, 30, 4],
1873: [51770205310, 1196219833, 3], [5289120282737983, 122212197990098, -3], [182545895297753752563475404, 4217967054222495204679073, -1], [66646007780116951182547242065928991437872293825926433, 1539945144498948869710411296974494665952998698040984, 1], [365091790595507505126950808, 8435934108444990409358146, -4], [133292015560233902365094484131857982875744587651852866, 3079890288997897739420822593948989331905997396081968, 4],
1874: [4632, 107, -2], [21455425, 495624, 1], [42910850, 991248, 4],
1875: [189750626, 4382103, 1], [379501252, 8764206, 4],
1876: [137215, 3168, 1], [274430, 6336, 4],
1877: [1603, 37, -4], [2569611, 59311, 4], [2059544018, 47537785, -1], [8483443124159168649, 195812321451440260, 1],
1878: [130, 3, -2], [16901, 390, 1], [33802, 780, 4],
1879: [12374048299, 285462074, -3], [307156999983793989, 7085932763498081, 2], [94345422639044420558808634792532120, 2176493849722945361406489700835109, 1], [188690845278088841117617269585064240, 4352987699445890722812979401670218, 4],
1880: [1691, 39, 1], [3382, 78, 4],
1881: [4333991201, 99929480, 1], [8667982402, 199858960, 4],
1882: [3861, 89, -1], [29814643, 687258, 1], [7722, 178, -4], [59629286, 1374516, 4],
1883: [6726, 155, 1], [13452, 310, 4],
1884: [3429, 79, -3], [7838695, 180594, 1], [15677390, 361188, 4],
1885: [521, 12, 1], [1042, 24, 4],
1886: [304, 7, 2], [92415, 2128, 1], [184830, 4256, 4],
1887: [8992, 207, 1], [17984, 414, 4],
1888: [613834, 14127, 4], [188396089777, 4335816459, 1],
1889: [4300062425132968, 98937010028785, -1], [36981073720080844052144960978049, 850870638559564006506264967760, 1], [8600124850265936, 197874020057570, -4], [73962147440161688104289921956098, 1701741277119128013012529935520, 4],
1890: [97469, 2242, 1], [194938, 4484, 4],
1891: [34798636, 800233, -3], [819136267782775550, 18836941567957233, 1], [1638272535565551100, 37673883135914466, 4],
1892: [87, 2, 1], [174, 4, 4],
1893: [87, 2, -3], [5047, 116, 1], [10094, 232, 4],
1894: [20740194545156147, 476565762472943, 3], [15043573506074579662, 345669471066488553, -2], [226309103832669021290704832069984034245, 5200104096794640672678934313809609086, 1], [452618207665338042581409664139968068490, 10400208193589281345357868627619218172, 4],
1895: [54849639, 1259996, 1], [109699278, 2519992, 4],
1896: [193549, 4445, 1], [387098, 8890, 4],
1897: [43903, 1008, 1], [87806, 2016, 4],
1898: [2309, 53, -1], [10662963, 244754, 1], [4618, 106, -4], [21325926, 489508, 4],
1899: [527593, 12107, -2], [278354373650, 6387568451, 1], [556708747300, 12775136902, 4],
1900: [57799, 1326, 1], [115598, 2652, 4],
1901: [218, 5, -1], [95049, 2180, 1], [436, 10, -4], [190098, 4360, 4],
1902: [2846027, 65258, 1], [5692054, 130516, 4],
1903: [875034172, 20058831, 1], [1750068344, 40117662, 4],
1904: [28799, 660, 1], [57598, 1320, 4],
1905: [10709910761, 245379548, 1], [21419821522, 490759096, 4],
1906: [10705292457, 245209385, -1], [229206573179802193699, 5250076359252217890, 1], [21410584914, 490418770, -4], [458413146359604387398, 10500152718504435780, 4],
1907: [131, 3, -2], [17162, 393, 1], [34324, 786, 4],
1908: [8777860001, 200955300, 1], [17555720002, 401910600, 4],
1909: [568, 13, 3], [2380667255, 54487356, 1], [4761334510, 108974712, 4],
1910: [278479, 6372, 1], [556958, 12744, 4],
1911: [306, 7, -3], [62425, 1428, 1], [124850, 2856, 4],
1912: [1617319577991743, 36987237828948, 1], [3234639155983486, 73974475657896, 4],
1913: [4748651845484, 108570751717, -1], [45099388699237198022388513, 1031129401013034423392056, 1], [9497303690968, 217141503434, -4], [90198777398474396044777026, 2062258802026068846784112, 4],
1914: [175, 4, 1], [350, 8, 4],
1915: [1027150205228001406, 23471971442429307, 1], [2054300410456002812, 46943942884858614, 4],
1916: [5978880, 136591, 4], [17873503027199, 408330599040, 1],
1917: [194399, 4440, 1], [388798, 8880, 4],
1918: [416753, 9516, 1], [833506, 19032, 4],
1919: [77244401049, 1763313460, 1], [154488802098, 3526626920, 4],
1920: [482, 11, 4], [116161, 2651, 1],
1921: [71388815998932, 1628795259625, -1], [10192726099458738978050281249, 232555530178603601325441000, 1], [142777631997864, 3257590519250, -4], [20385452198917477956100562498, 465111060357207202650882000, 4],
1922: [390050, 8897, 2], [152139002499, 3470274850, 1], [304278004998, 6940549700, 4],
1923: [66085, 1507, -2], [4367227226, 99590095, 1], [8734454452, 199180190, 4],
1924: [65839, 1501, -3], [1928280, 43961, -4], [1859131879201, 42384558540, 1], [3718263758402, 84769117080, 4],
1925: [351, 8, 1], [702, 16, 4],
1926: [833882, 19001, -2], [695359189925, 15844591882, 1], [1390718379850, 31689183764, 4],
1927: [6829107, 155569, 2], [46636702417448, 1062397346883, 1], [93273404834896, 2124794693766, 4],
1928: [483, 11, 1], [966, 22, 4],
1929: [13791, 314, -3], [126794455, 2886916, 1], [253588910, 5773832, 4],
1930: [8020227, 182561, -1], [128648082263059, 2928361322694, 1], [16040454, 365122, -4], [257296164526118, 5856722645388, 4],
1931: [231097, 5259, -2], [53405823410, 1215339123, 1], [106811646820, 2430678246, 4],
1932: [44, 1, 4], [967, 22, 1],
1933: [44, 1, 3], [812454627, 18479201, -4], [660082520933709131, 15013512355713027, 4], [9144801397284967712024663, 207997613047638870935978, -3], [268143549167208172282776882, 6098898790460359344402565, -1], [143801925919973973006746044614830462252244345987283849, 3270760735371267636227864743687616171541802967004660, 1],
1934: [44, 1, 2], [1935, 44, 1], [3870, 88, 4],
1935: [44, 1, 1], [88, 2, 4],
1936: [44, 1, 0],
1937: [44, 1, -1], [3873, 88, 1], [88, 2, -4], [7746, 176, 4],
1938: [44, 1, -2], [1937, 44, 1], [3874, 88, 4],
1939: [44, 1, -3], [6672165474011915935, 151522771012903896, 1], [13344330948023831870, 303045542025807792, 4],
1940: [44, 1, -4], [969, 22, 1], [1938, 44, 4],
1941: [10523512585, 238862491, 4], [934914119718852, 21220663129669, 3], [582709607499783953373016131935, 13226331726483194685799879992, 1],
1942: [90024269, 2042843, 3], [2642756314, 59969787, -2], [6984160935186866597, 158485533243485118, 1], [13968321870373733194, 316971066486970236, 4],
1943: [83751, 1900, 1], [167502, 3800, 4],
1944: [485, 11, 1], [970, 22, 4],
1945: [2632285113641, 59686089372, 1], [5264570227282, 119372178744, 4],
1946: [121257485, 2748762, 1], [242514970, 5497524, 4],
1947: [353, 8, 1], [706, 16, 4],
1948: [3533583353803, 80060973037, -3], [103812147681136, 2352088722477, 4], [5388481003084995290965125247, 122087690908458416096046936, 1],
1949: [83218, 1885, -1], [13850471049, 313731860, 1], [166436, 3770, -4], [27700942098, 627463720, 4],
1950: [595349, 13482, 1], [1190698, 26964, 4],
1951: [67098373649174, 1519089490027, -3], [476174797966914129, 10780471890262783, 2], [226742438218831488120936558859828640, 5133389024333877559662473405561007, 1], [453484876437662976241873117719657280, 10266778048667755119324946811122014, 4],
1952: [486, 11, 4], [118097, 2673, 1],
1953: [3844063, 86984, 1], [7688126, 173968, 4],
1954: [2166, 49, 2], [4691555, 106134, 1], [9383110, 212268, 4],
1955: [2874, 65, 1], [5748, 130, 4],
1956: [106719, 2413, -3], [7592629975, 171675298, 1], [15185259950, 343350596, 4],
1957: [929, 21, 4], [400881151, 9061920, 1],
1958: [177, 4, 1], [354, 8, 4],
1959: [9719730001876, 219602349925, 1], [19439460003752, 439204699850, 4],
1960: [1039681, 23484, 1], [2079362, 46968, 4],
1961: [5431118185, 122645172, 1], [10862236370, 245290344, 4],
1962: [31753512017, 716873068, 1], [63507024034, 1433746136, 4],
1963: [12317, 278, -3], [24445564472798, 551746923459, 1], [48891128945596, 1103493846918, 4],
1964: [187256088340, 4225374483, 4], [17532421310198941977799, 395613548729114914110, 1],
1965: [133, 3, 4], [1176119, 26532, 1],
1966: [2003379055583, 45182616011, 3], [3138626334578076, 70786079190583, 2], [9850975268107008669640939861775, 222171052269092942126897458308, 1], [19701950536214017339281879723550, 444342104538185884253794916616, 4],
1967: [2528, 57, 1], [5056, 114, 4],
1968: [29767, 671, 1], [59534, 1342, 4],
1969: [545127337680998, 12284998393127, 3], [46885009158085926066844328473751, 1056601315610203746069441327300, 1], [93770018316171852133688656947502, 2113202631220407492138882654600, 4],
1970: [577, 13, -1], [665859, 15002, 1], [1154, 26, -4], [1331718, 30004, 4],
1971: [1620674, 36505, 1], [3241348, 73010, 4],
1972: [1367964, 30805, -4], [935662752649, 21070065510, 1], [1871325505298, 42140131020, 4],
1973: [88526, 1993, -1], [15673705353, 352864636, 1], [177052, 3986, -4], [31347410706, 705729272, 4],
1974: [1376255, 30976, 1], [2752510, 61952, 4],
1975: [12799, 288, 1], [25598, 576, 4],
1976: [73035, 1643, 1], [146070, 3286, 4],
1977: [18582306, 417923, 3], [230201397518423, 5177315380292, 1], [460402795036846, 10354630760584, 4],
1978: [60973994702573, 1370981217774, 1], [121947989405146, 2741962435548, 4],
1979: [14034117, 315473, -2], [196956439969690, 4427384992341, 1], [393912879939380, 8854769984682, 4],
1980: [89, 2, 1], [178, 4, 4],
1981: [89, 2, -3], [9856153532405, 221444665221, 4], [478731918732725530377313576551512366455, 10755983977504786513343290157817764652, 1],
1982: [662408, 14879, 2], [438784358463, 9855968632, 1], [877568716926, 19711937264, 4],
1983: [23067, 518, -3], [354724327, 7965804, 1], [709448654, 15931608, 4],
1984: [4620799, 103740, 1], [9241598, 207480, 4],
1985: [1907602928, 42816161, -1], [7277897861828346369, 163352468178638816, 1], [3815205856, 85632322, -4], [14555795723656692738, 326704936357277632, 4],
1986: [114932, 2579, -2], [13209364625, 296409628, 1], [26418729250, 592819256, 4],
1987: [1471, 33, -2], [2163842, 48543, 1], [4327684, 97086, 4],
1988: [1201887, 26956, 1], [2403774, 53912, 4],
1989: [223, 5, 4], [5544449, 124320, 1],
1990: [35314095433681999, 791628731408580, 1], [70628190867363998, 1583257462817160, 4],
1991: [95638951, 2143380, 1], [191277902, 4286760, 4],
1992: [179777, 4028, 1], [359554, 8056, 4],
1993: [625, 14, -3], [16587203910378462710, 371551940835764123, 3], [6911348232395343251232, 154813605922550351605, -1], [95533468778868471170054252659885376539035649, 2139941483287135231593131558297490898854720, 1], [13822696464790686502464, 309627211845100703210, -4], [191066937557736942340108505319770753078071298, 4279882966574270463186263116594981797709440, 4],
1994: [84198805, 1885573, -1], [14178877526856051, 317525986680530, 1], [168397610, 3771146, -4], [28357755053712102, 635051973361060, 4],
1995: [134, 3, 1], [268, 6, 4],
1996: [8980, 201, 4], [40320199, 902490, 1],
1997: [9161, 205, -4], [83923923, 1878005, 4], [384413533882, 8602202005, -1], [295547530063295123979849, 6613605743817751666820, 1],
1998: [13231349, 296010, 1], [26462698, 592020, 4],
1999: [99657849766, 2228974579, -3], [63464174140920940599, 1419456983764900351, 2], [4027701399389138208695911951306886478800, 90084665203202024260494303744425250249, 1], [8055402798778276417391823902613772957600, 180169330406404048520988607488850500498, 4],
2000: [930249, 20801, 1], [1860498, 41602, 4],
2001: [19742928095, 441354968, 1], [39485856190, 882709936, 4],
2002: [11325887, 253128, 1], [22651774, 506256, 4],
2003: [65912269, 1472739, -2], [4344427204728362, 97071569134791, 1], [8688854409456724, 194143138269582, 4],
2004: [11242731902975, 251144109216, 1], [22485463805950, 502288218432, 4],
2005: [403, 9, 4], [32724809, 730836, 1],
2006: [638145, 14248, 1], [1276290, 28496, 4],
2007: [224, 5, 1], [448, 10, 4],
2008: [3832352837, 85523139, 1], [7664705674, 171046278, 4],
2009: [141012534067201, 3146065416960, 1], [282025068134402, 6292130833920, 4],
2010: [269, 6, 1], [538, 12, 4],
2011: [402611, 8978, -3], [4785745078256208692917, 106719437154440984241, -2], [22903355954053525066202335319378237605968890, 510732021116138713675018566232201605320997, 1], [45806711908107050132404670638756475211937780, 1021464042232277427350037132464403210641994, 4],
2012: [49296, 1099, 4], [1215047807, 27088152, 1],
2013: [673, 15, 4], [15120, 337, 3], [152409599, 3396960, 1],
2014: [32379412473170124875, 721504810595091954, 1], [64758824946340249750, 1443009621190183908, 4],
2015: [404, 9, 1], [808, 18, 4],
2016: [449, 10, 1], [898, 20, 4],
2017: [5865694, 130607, 3], [27238541372752867697, 606500129920055306, -3], [106515299132603184503844444, 2371696115380807559791481, -1], [22691017898615873418283839489716246568157231499338273, 505243842362839347335084683756885179819279000763128, 1], [213030598265206369007688888, 4743392230761615119582962, -4], [45382035797231746836567678979432493136314462998676546, 1010487684725678694670169367513770359638558001526256, 4],
2018: [7502, 167, 2], [56280003, 1252834, 1], [112560006, 2505668, 4],
2019: [674, 15, 1], [1348, 30, 4],
2020: [809, 18, 1], [1618, 36, 4],
2021: [45, 1, 4], [45495, 1012, 1],
2022: [45, 1, 3], [1349, 30, 1], [2698, 60, 4],
2023: [45, 1, 2], [2024, 45, 1], [4048, 90, 4],
2024: [45, 1, 1], [90, 2, 4],
2025: [45, 1, 0],
2026: [45, 1, -1], [4051, 90, 1], [90, 2, -4], [8102, 180, 4],
2027: [45, 1, -2], [2026, 45, 1], [4052, 90, 4],
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