a := (1,6920)( 2,5025)(   3,4200)(   4,5146)(   5, 414)(   6,4457)(   7,3632)
(   8,2641)(   9,1648)(  10,1025)(  11,  60)(  12,6771)(  13,1433)(  14,6446)
(  15,2343)(  16,2035)(  17,5922)(  18,3627)(  19,3147)(  20,5577)(  21,5742)
(  22,4982)(  23,  78)(  24,4602)(  25,6122)(  26,5362)(  27,2702)(  28,3842)
(  29,1942)(  30,6502)(  31,4222)(  32,2322)(  33,3462)(  34, 802)(  35,6540)
(  36,1562)(  37, 384)(  38,1182)(  39,3082)(  40,4302)(  41,4833)(  42,6868)
(  43,3873)(  44,3414)(  45, 588)(  46,1526)(  47,2577)(  48,5907)(  49,2199)
(  50,5152)(  51,2000)(  52,3192)(  53, 316)(  54,1369)(  55,1079)(  56,4646)
(  57,6310)(  58,5654)(  59,7189)(  61,7134)(  62,7221)(  63,7165)(  64,7044)
(  65,7092)(  66,7009)(  67,7233)(  68,7125)(  69,7022)(  70,7076)(  71,6938)
(  72,6915)(  73,6983)(  74,6894)(  75,6966)(  76,7055)(  77,7159)(  79,4768)
(  80,5481)(  81,2233)(  82,2590)(  83,1159)(  84,5841)(  85,1875)(  86,3669)
(  87, 421)(  88,6570)(  89,4396)(  90,1512)(  91,2959)(  92,4040)(  93,3326)
(  94,6211)(  95,5116)(  96, 795)(  97,2146)(  98,4954)(  99,3771)( 100,5636)
( 101,1164)( 102,3290)( 103,5175)( 104,3992)( 105,6599)( 106, 923)( 107,6077)
( 108, 181)( 109,6418)( 110,4693)( 111,2848)( 112, 542)( 113,3129)( 114,1585)
( 115,2547)( 116, 698)( 117,4826)( 118,6165)( 119,1556)( 120,5613)( 121,3906)
( 122, 227)( 123, 994)( 124,3235)( 125,6095)( 126,4523)( 127,3495)( 128,4120)
( 129,1447)( 130,2426)( 131,6662)( 132,2738)( 133,1888)( 134,5102)( 135,3591)
( 136,5038)( 137,1757)( 138,5238)( 139,2401)( 140,5563)( 141,4711)( 142, 613)
( 143,6297)( 144,6723)( 145,2974)( 146,1135)( 147,1939)( 148,2557)( 149, 819)
( 150,3817)( 151,4262)( 152, 337)( 153,6054)( 154,6463)( 155,4799)( 156, 560)
( 157,3536)( 158, 353)( 159,2087)( 160,5771)( 161,3200)( 162, 900)( 163,2775)
( 164,2311)( 165,1824)( 166,6755)( 167,5221)( 168,4547)( 169,4060)( 170,5819)
( 171,3742)( 172,1119)( 173,2500)( 174,4784)( 175,4379)( 176,3008)( 177,6535)
( 178,5891)( 179,4180)( 180,5707)( 182,1720)( 183,2164)( 184,1029)( 185,1266)
( 186, 605)( 187,3748)( 188,5417)( 189,3504)( 190,2693)( 191,6359)( 192,4670)
( 193,4747)( 194,2289)( 195, 746)( 196,4080)( 197,2727)( 198,6786)( 199, 252)
( 200,5699)( 201,3603)( 202,3927)( 203,3070)( 204,5299)( 205,6290)( 206,2174)
( 207,1336)( 208,1603)( 209,6004)( 210, 439)( 211,2866)( 212,5017)( 213,5956)
( 214,6734)( 215, 513)( 216,1095)( 217,6395)( 218,1253)( 219,5277)( 220,5508)
( 221,1484)( 222,4100)( 223,4364)( 224,1910)( 225,3446)( 226,2456)( 228,3157)
( 229,3958)( 230,3231)( 231,4931)( 232, 864)( 233, 729)( 234,2055)( 235,4140)
( 236,3834)( 237,4422)( 238,2223)( 239,1210)( 240,5440)( 241,6248)( 242,5968)
( 243,1741)( 244, 305)( 245,2801)( 246,5414)( 247,6813)( 248,3425)( 249,3943)
( 250,4895)( 251,2099)( 253,5331)( 254,1799)( 255,1403)( 256,6688)( 257,4202)
( 258,3023)( 259,2893)( 260,5682)( 261, 519)( 262,2392)( 263,5870)( 264,6182)
( 265, 850)( 266,3283)( 267,4435)( 268,5389)( 269,4881)( 270,1320)( 271,2678)
( 272,3264)( 273,4581)( 274, 894)( 275,1656)( 276,3336)( 277,1849)( 278, 483)
( 279,5805)( 280,5515)( 281,6701)( 282,6436)( 283, 368)( 284,3895)( 285,2524)
( 286,4282)( 287,6838)( 288,4972)( 289,4322)( 290,2123)( 291,1631)( 292,6371)
( 293,3392)( 294,6148)( 295,2789)( 296,4489)( 297,1299)( 298,3698)( 299, 768)
( 300,5531)( 301,5092)( 302,3001)( 303,2359)( 304, 666)( 306,1058)( 307,4847)
( 308,3106)( 309,6232)( 310,3668)( 311,6617)( 312,1836)( 313,2276)( 314,4538)
( 315,5347)( 317, 644)( 318,2876)( 319,3559)( 320,5589)( 321,6018)( 322,1227)
( 323,4342)( 324,1709)( 325,1408)( 326,5060)( 327,5310)( 328,5931)( 329, 941)
( 330,2250)( 331,2943)( 332,3379)( 333,1483)( 334,3712)( 335,6345)( 336,2825)
( 338,4242)( 339, 714)( 340,5738)( 341,1991)( 342,4572)( 343,6645)( 344,6105)
( 345,4907)( 346,2612)( 347,4020)( 348,6263)( 349,2914)( 350, 469)( 351,5264)
( 352,1378)( 354,3529)( 355,6842)( 356,2488)( 357,3789)( 358,1687)( 359,4468)
( 360,5792)( 361, 986)( 362,1976)( 363,1772)( 364,4720)( 365,3353)( 366,1288)
( 367,4634)( 369,2434)( 370,6489)( 371, 677)( 372,4160)( 373, 969)( 374,5193)
( 375,3985)( 376,6030)( 377,3056)( 378,2025)( 379,6594)( 380,5466)( 381,2644)
( 382,2236)( 383,5480)( 385,1518)( 386,1869)( 387, 785)( 388,1143)( 389, 432)
( 390,3678)( 391,5121)( 392,3324)( 393,2586)( 394,6203)( 395,4769)( 396,4409)
( 397,2950)( 398,6567)( 399,5848)( 400,4044)( 401,7211)( 402,7127)( 403,7187)
( 404,6955)( 405,6998)( 406,7161)( 407,7048)( 408,7113)( 409,7234)( 410,7064)
( 411,6886)( 412,7175)( 413,6963)( 415,7079)( 416,6910)( 417,7027)( 418,7106)
( 419,6976)( 420,4604)( 422,5752)( 423,3460)( 424,3856)( 425,3086)( 426,5373)
( 427,6501)( 428,1954)( 429,1195)( 430,1577)( 431,6123)( 433,4989)( 434,2330)
( 435, 805)( 436,4231)( 437,2718)( 438,6546)( 440,2093)( 441,3948)( 442, 520)
( 443,6680)( 444,4441)( 445,1798)( 446,3041)( 447,4216)( 448,3273)( 449,6191)
( 450,5338)( 451, 845)( 452,4893)( 453,5668)( 454,2394)( 455,2896)( 456,1400)
( 457,5854)( 458,3541)( 459, 570)( 460,6471)( 461,6753)( 462,3195)( 463,1120)
( 464,2081)( 465,2771)( 466, 905)( 467,3730)( 468,4062)( 470,5823)( 471,4808)
( 472,1807)( 473,5220)( 474,2304)( 475,5774)( 476,4554)( 477,1293)( 478,3357)
( 479,1773)( 480,3987)( 481,6481)( 482,2653)( 484,4150)( 485, 683)( 486,5464)
( 487,2019)( 488,4627)( 489,6583)( 490,4719)( 491,5190)( 492,6040)( 493, 965)
( 494,2446)( 495,3059)( 496,1554)( 497,6168)( 498, 697)( 499,4115)( 500,1005)
( 501,5112)( 502,3903)( 503,6086)( 504,3237)( 505,1900)( 506,6652)( 507,5621)
( 508,2745)( 509,4812)( 510,3491)( 511,1454)( 512,4506)( 514,2431)( 515, 743)
( 516,2287)( 517,4673)( 518,5295)( 521,2728)( 522,3610)( 523,5696)( 524,5997)
( 525,1344)( 526,4072)( 527,1605)( 528,4734)( 529,3069)( 530,6278)( 531,3931)
( 532,6799)( 533,2186)( 534,3018)( 535,4387)( 536,2491)( 537,1269)( 538,5713)
( 539,6356)( 540,5878)( 541,1715)( 543,2682)( 544,5421)( 545,6537)( 546,3505)
( 547,4777)( 548,1045)( 549, 601)( 550,2158)( 551,4179)( 552,3757)( 553,4021)
( 554,2609)( 555,6107)( 556,2480)( 557,5249)( 558,1970)( 559,2921)( 561,1387)
( 562, 985)( 563,4472)( 564,6268)( 565,5785)( 566,4920)( 567,6855)( 568,3783)
( 569,3535)( 571,1683)( 572,6227)( 573,3112)( 574,1065)( 575,2887)( 576,2277)
( 577,1694)( 578,6625)( 579,5351)( 580,4524)( 581,4339)( 582,6014)( 583,3667)
( 584,1225)( 585,4862)( 586, 635)( 587,3564)( 589,1830)( 590,5591)( 591,5627)
( 592,3782)( 593,2140)( 594,6422)( 595,4000)( 596,2542)( 597,3293)( 598, 925)
( 599,6598)( 600,1595)( 602,1170)( 603,3125)( 604,4942)( 606,4690)( 607,6075)
( 608,5176)( 609,2838)( 610,5946)( 611,5312)( 612,1422)( 614,3378)( 615,6650)
( 616,2259)( 617,3715)( 618,1476)( 619,4568)( 620,5739)( 621, 945)( 622,1985)
( 623,5066)( 624,2817)( 625,4240)( 626,6334)( 627,2928)( 628, 709)( 629,3862)
( 630,6877)( 631,4313)( 632,3179)( 633,2579)( 634,5650)( 636,2196)( 637,5910)
( 638,6321)( 639,1067)( 640,3409)( 641,4645)( 642,4841)( 643,2012)( 645,5151)
( 646,1530)( 647,1361)( 648, 733)( 649, 865)( 650,3228)( 651,5969)( 652,4420)
( 653,3436)( 654,4128)( 655,1199)( 656,2212)( 657,6816)( 658,2806)( 659,2067)
( 660,5405)( 661,4927)( 662,6250)( 663,1749)( 664,5453)( 665,3826)( 667,2677)
( 668,1316)( 669,5384)( 670,5522)( 671,1661)( 672,4277)( 673,4598)( 674,1861)
( 675,3328)( 676,2528)( 678,3262)( 679,3885)( 680,4878)( 681,5811)( 682,6694)
( 684, 885)( 685,6437)( 686,6730)( 687,5951)( 688,2854)( 689,4355)( 690,1239)
( 691,3956)( 692,1087)( 693,5495)( 694,5267)( 695,3158)( 696,2455)( 699,5001)
( 700,4089)( 701,1904)( 702,1486)( 703,6388)( 704,3443)( 705,5244)( 706,1764)
( 707,3582)( 708,1933)( 710,6053)( 711,5550)( 712,6724)( 713,6295)( 715,3812)
( 716,2397)( 717,4265)( 718,5048)( 719,1128)( 720,2561)( 721,2982)( 722,4698)
( 723, 825)( 724,2117)( 725,4327)( 726,6824)( 727, 765)( 728,6156)( 730,6385)
( 731,4499)( 732,2784)( 734,2994)( 735,1622)( 736,2365)( 737,4975)( 738,3699)
( 739,5547)( 740,1298)( 741,3394)( 742,5090)( 744,5680)( 745,3946)( 747, 841)
( 748,3032)( 749,5871)( 750,4442)( 751,3280)( 752,4213)( 753,1393)( 754,2384)
( 755,6672)( 756,2898)( 757,2098)( 758,5337)( 759,4899)( 760,6195)( 761,1793)
( 762,5978)( 763,6240)( 764,3221)( 766,5409)( 767,1211)( 769,3439)( 770,6818)
( 771,2211)( 772,3836)( 773,1738)( 774,4426)( 775,5449)( 776, 857)( 777,2072)
( 778,4924)( 779,2804)( 780,4129)( 781,3463)( 782,2337)( 783,5744)( 784,4612)
( 786,6514)( 787,6547)( 788,3098)( 789,1191)( 790,1941)( 791,2706)( 792, 807)
( 793,3853)( 794,4235)( 796,6120)( 797,4988)( 798,1570)( 799,5376)( 800,1519)
( 801,4405)( 803,2238)( 804,6213)( 806,4038)( 808,5119)( 809,3687)( 810,5847)
( 811,2954)( 812,1874)( 813,6560)( 814,5475)( 815,2591)( 816,4752)( 817,3312)
( 818,1151)( 820,2827)( 821,1413)( 822,5939)( 823,1990)( 824,3717)( 826,6648)
( 827,4565)( 828,1479)( 829,2944)( 830,4246)( 831,3373)( 832,6333)( 833,5320)
( 834, 939)( 835,5067)( 836,5721)( 837,2245)( 838,5292)( 839,3064)( 840,4675)
( 842,1613)( 843,3609)( 844,2173)( 846,6000)( 847,5689)( 848,6795)( 849,6279)
( 851,3925)( 852,2293)( 853,4082)( 854,4750)( 855,1333)( 856,2719)( 858,3688)
( 859,6836)( 860,2122)( 861,2366)( 862,4491)( 863,5078)( 866,2780)( 867,3402)
( 868,5538)( 869,6145)( 870,1311)( 871,4325)( 872,1626)( 873,4977)( 874,2997)
( 875,6382)( 876,3977)( 877,5201)( 878,1769)( 879,1291)( 880,6582)( 881,4157)
( 882,3043)( 883,2657)( 884,5470)( 886,2437)( 887,6032)( 888,6490)( 889, 962)
( 890,3351)( 891,4630)( 892,4732)( 893,2024)( 895,2490)( 896,6846)( 897,6115)
( 898,4011)( 899,5788)( 901,1680)( 902,1975)( 903, 980)( 904,1373)( 906,3790)
( 907,5251)( 908,3518)( 909,2620)( 910,6266)( 911,4916)( 912,4484)( 913,2920)
( 914,1271)( 915,1033)( 916,2501)( 917,3010)( 918,3498)( 919,1729)( 920,3761)
( 921,6349)( 922,2699)( 924,4174)( 926,5714)( 927,2163)( 928,4376)( 929,6527)
( 930,4780)( 931,5430)( 932,5876)( 933,1938)( 934,1131)( 935,3586)( 936,5245)
( 937,4267)( 938,6709)( 940,6048)( 942,6301)( 943,4696)( 944,2555)( 946,2971)
( 947,1763)( 948,2412)( 949,5040)( 950,3808)( 951,5564)( 952,5521)( 953,5812)
( 954,5380)( 955,2672)( 956,3892)( 957,1848)( 958,6424)( 959,4283)( 960,2522)
( 961,3338)( 963,6697)( 964,1659)( 966,1331)( 967,3268)( 968,4871)( 970,4589)
( 971,6759)( 972,1825)( 973,6478)( 974,3550)( 975,5817)( 976,2768)( 977,4553)
( 978,1104)( 979,3731)( 981,5776)( 982,5215)( 983,3209)( 984,2307)( 987,4794)
( 988,4052)( 989,2086)( 990,4359)( 991,4088)( 992,2855)( 993,6745)( 995,5511)
( 996,3454)( 997,3962)( 998,3156)( 999,5274)(1000,6391)(1001,1909)(1002,1251)
(1003,1495)(1004,5965)(1006,5009)(1007,2468)(1008,1097)(1009,6950)(1010,7081)
(1011,7193)(1012,7218)(1013,6974)(1014,7114)(1015,6979)(1016,7151)(1017,7068)
(1018,7222)(1019,7103)(1020,6906)(1021,6997)(1022,7025)(1023,7135)(1024,7166)
(1026,6896)(1027,7042)(1028,6416)(1030,2145)(1031,5631)(1032,3122)(1034,2845)
(1035,2538)(1036,1587)(1037,6611)(1038,5170)(1039,4683)(1040,4009)(1041,6081)
(1042,3767)(1043,1171)(1044,4955)(1046,3295)(1047,3177)(1048,1999)(1049,4298)
(1050,3861)(1051,4640)(1052,2189)(1053,1353)(1054,5647)(1055,6312)(1056,5894)
(1057,1524)(1059,2569)(1060,5153)(1061,6863)(1062,3405)(1063,4830)(1064,1068)
(1066,2872)(1069,6223)(1070,1231)(1071,5345)(1072,5599)(1073,1696)(1074,4350)
(1075,4539)(1076,1835)(1077,3562)(1078,2263)(1080,3113)(1081,3662)(1082,4853)
(1083,6011)(1084,6632)(1085,4111)(1086,3488)(1088,1542)(1089,2754)(1090,6090)
(1091,2429)(1092,5104)(1093,1887)(1094,3245)(1096,1453)(1098,4505)(1099,6170)
(1100,5610)(1101,4824)(1102,6663)(1103,3914)(1105,5782)(1106,6101)(1107,1381)
(1108,4026)(1109,1684)(1110,4912)(1111,2927)(1112,6267)(1113,3796)(1114,6851)
(1115,1960)(1116,2489)(1117,4479)(1118,5262)(1121,2611)(1122,3520)(1123,4569)
(1124,1993)(1125,1418)(1126,1473)(1127,5948)(1129,5069)(1130,2253)(1132,4256)
(1133,2826)(1134,6649)(1136,5726)(1137,3371)(1138,3710)(1139,2932)(1140,5303)
(1141,6340)(1142,1187)(1144,5743)(1145,1944)(1146,4600)(1147,6549)(1148,4995)
(1149,5370)(1150,6128)(1152,2334)(1153,3093)(1154,3469)(1155,1561)(1156,3857)
(1157,6512)(1158,2716)(1160,4225)(1161,2688)(1162,3510)(1163,2507)(1165,3009)
(1166,3751)(1167,4774)(1168,5877)(1169,6519)(1172,6358)(1173,1264)(1174,5435)
(1175,5716)(1176,1725)(1177,4172)(1178,4373)(1179,2166)(1180,5120)(1181,6212)
(1183,3674)(1184,2231)(1185,4033)(1186,4756)(1188,2597)(1189,2962)(1190,4401)
(1192,1521)(1193,3322)(1194,1877)(1196,5836)(1197,5491)(1198,6569)(1200,2368)
(1201,6831)(1202,2794)(1203,2125)(1204,5088)(1205,4970)(1206,6368)(1207,1634)
(1208,5543)(1209,3704)(1212,2991)(1213,6142)(1214,4490)(1215,3384)(1216,4326)
(1217,1309)(1218,6317)(1219,4656)(1220,4310)(1221,5905)(1222,3868)(1223,1352)
(1224,4845)(1226,3419)(1228,2002)(1229,5651)(1230,3178)(1232,2567)(1233,2198)
(1234,1537)(1235,6871)(1236,5159)(1237,1890)(1238,2741)(1240,3232)(1241,1552)
(1242,2430)(1243,4819)(1244,3905)(1245,5625)(1246,1460)(1247,3492)(1248,5103)
(1249,4107)(1250,6669)(1252,6098)(1254,6163)(1255,4511)(1256,1586)(1257,3126)
(1258,2148)(1259,6609)(1260,5639)(1261,2842)(1262,4943)(1263,3306)(1265,4692)
(1267,2534)(1268,6411)(1270,3996)(1272,5181)(1273,3779)(1274,6073)(1275,2517)
(1276,3889)(1277,5394)(1278,3337)(1279,2670)(1280,6442)(1281,4880)(1282,4594)
(1283,3260)(1284,6691)(1285,5814)(1286,4289)(1287,5528)(1289,1660)(1290,1851)
(1292,1317)(1294,6811)(1295,5399)(1296,3230)(1297,2218)(1300,4928)(1301,4131)
(1302,2057)(1303,1735)(1304,6234)(1305,3433)(1306,5983)(1307,2805)(1308,4418)
(1310,3835)(1312,5445)(1313,5462)(1314,6589)(1315,1778)(1318,3054)(1319,4730)
(1321,4624)(1322,6031)(1323,5192)(1324,2647)(1325,3973)(1326,2027)(1327,6496)
(1328,4154)(1329,2442)(1330,3364)(1332,3277)(1334,3947)(1335,4217)(1337,5859)
(1338,4891)(1339,1791)(1340,5326)(1341,2377)(1342,5675)(1343,4444)(1345,6185)
(1346,6689)(1347,3037)(1348,1402)(1349,2101)(1350,2891)(1351,4341)(1354,4527)
(1355,6219)(1356,5588)(1357,4858)(1358,6629)(1359,3660)(1360,3563)(1362,1707)
(1363,2884)(1364,6015)(1365,2264)(1366,5358)(1367,1838)(1368,3115)(1370,3733)
(1371,5830)(1372,6475)(1374,3537)(1375,4560)(1376,4802)(1377,2089)(1379,5213)
(1380,1813)(1382,6751)(1383,4049)(1384,3205)(1385,2772)(1386,5769)(1388,2319)
(1389,5994)(1390,1598)(1391,4668)(1392,5698)(1394,2176)(1395,4751)(1396,2733)
(1397,4081)(1398,6281)(1399,3062)(1401,5296)(1404,3598)(1405,6791)(1406,2285)
(1407,3920)(1409,4260)(1410,3576)(1411,6293)(1412,5229)(1414,5039)(1415,5552)
(1416,2398)(1417,2550)(1419,6046)(1420,1923)(1421,3804)(1423,6711)(1424,4697)
(1425,1752)(1426,2968)(1427,7058)(1428,6965)(1429,7185)(1430,7239)(1431,7215)
(1432,6991)(1434,7037)(1435,7171)(1436,6902)(1437,7074)(1438,7146)(1439,6948)
(1440,6895)(1441,7004)(1442,7116)(1443,7107)(1444,7141)(1445,7026)(1446,3163)
(1448,2857)(1449,5271)(1450,6731)(1451,3445)(1452,4999)(1455,1912)(1456,4095)
(1457,3972)(1458,4367)(1459,2466)(1461,5494)(1462,6403)(1463,5961)(1464,1500)
(1465,4712)(1466,5560)(1467,3575)(1468,3809)(1469,2977)(1470,5232)(1471,6304)
(1472,1937)(1474,1756)(1475,6058)(1477,5049)(1478,2414)(1480,4258)(1481,2563)
(1482,6713)(1485,3911)(1487,6659)(1488,4513)(1489,1545)(1490,3249)(1491,4112)
(1492,3490)(1493,6158)(1494,5095)(1496,4814)(1497,5616)(1498,2427)(1499,2748)
(1501,6097)(1502,1886)(1503,2709)(1504,5371)(1505,5753)(1506,1567)(1507,4224)
(1508,4616)(1509,1958)(1510,3477)(1511,2325)(1513,3088)(1514,3855)(1515,4981)
(1516,6130)(1517,6552)(1520,6506)(1522,1834)(1523,6620)(1525,6013)(1527,6224)
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(6451,6898)(6452,7099)(6453,7182)(6454,7078)(6455,7045)(6456,7226)(6457,7157)
(6458,7130)(6459,7067)(6460,6914)(6461,7212)(6473,6844)(6498,6707)(6500,6565)
(6523,6595)(6545,6572)(6579,6700)(6627,6872)(6641,6718)(6653,6746)(6677,6802)
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(6919,6922)(6921,6928)(6923,6925)(6924,6929)(6926,6931)(6927,6934)(6930,6932)
(6933,6936);