E = {{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 13}, {1, 20}, {1, 24}, {1, 38}, {1, 39}, {1, 63}, {1, 75}, {4, 5}, {4, 6}, {4, 7}, {1, 115}, {4, 8}, {4, 11}, {4, 13}, {4, 14}, {4, 15}, {4, 16}, {4, 38}, {4, 42}, {4, 46}, {4, 50}, {1, 175}, {1, 208}, {7, 10}, {7, 12}, {7, 16}, {7, 19}, {4, 128}, {7, 23}, {7, 24}, {7, 25}, {7, 26}, {4, 140}, {4, 145}, {7, 41}, {7, 66}, {7, 75}, {7, 117}, {1, 332}, {10, 12}, {10, 23}, {10, 29}, {10, 31}, {10, 32}, {10, 33}, {10, 34}, {10, 49}, {4, 268}, {7, 176}, {10, 82}, {4, 298}, {1, 408}, {10, 94}, {7, 210}, {10, 111}, {4, 327}, {13, 14}, {13, 15}, {13, 16}, {13, 17}, {13, 20}, {13, 24}, {13, 27}, {13, 35}, {1, 466}, {13, 38}, {13, 39}, {13, 40}, {13, 41}, {13, 53}, {13, 104}, {13, 108}, {13, 112}, {10, 222}, {7, 334}, {16, 19}, {16, 23}, {16, 24}, {16, 25}, {16, 26}, {16, 29}, {10, 247}, {16, 41}, {16, 45}, {16, 49}, {10, 264}, {16, 50}, {16, 51}, {16, 52}, {7, 409}, {1, 632}, {16, 117}, {1, 661}, {19, 23}, {16, 131}, {19, 25}, {19, 26}, {19, 31}, {16, 140}, {16, 142}, {16, 147}, {7, 470}, {13, 257}, {13, 258}, {19, 45}, {19, 55}, {19, 59}, {19, 60}, {19, 61}, {19, 62}, {4, 615}, {13, 296}, {19, 107}, {13, 326}, {4, 660}, {19, 158}, {16, 270}, {19, 168}, {19, 170}, {10, 495}, {16, 300}, {10, 519}, {7, 633}, {10, 529}, {16, 331}, {19, 270}, {16, 469}, {19, 364}, {13, 610}, {19, 399}, {13, 659}, {16, 616}, {19, 586}, {0, 1}, {0, 2}, {0, 3}, {0, 4}, {0, 8}, {0, 11}, {0, 13}, {0, 27}, {0, 35}, {0, 38}, {0, 80}, {0, 99}, {0, 104}, {3, 7}, {3, 10}, {3, 11}, {3, 12}, {3, 16}, {3, 29}, {3, 35}, {3, 41}, {3, 82}, {3, 99}, {3, 100}, {3, 107}, {0, 215}, {6, 7}, {6, 9}, {6, 10}, {6, 15}, {6, 18}, {6, 20}, {6, 21}, {6, 22}, {6, 23}, {0, 252}, {6, 40}, {0, 257}, {6, 63}, {6, 71}, {3, 217}, {6, 116}, {9, 10}, {9, 12}, {9, 22}, {9, 28}, {9, 30}, {9, 31}, {3, 254}, {3, 260}, {9, 48}, {6, 179}, {9, 81}, {9, 91}, {6, 199}, {9, 110}, {12, 26}, {12, 34}, {12, 36}, {12, 37}, {0, 471}, {12, 52}, {12, 88}, {0, 520}, {0, 524}, {12, 100}, {9, 215}, {12, 114}, {6, 333}, {15, 16}, {15, 18}, {15, 20}, {15, 21}, {15, 22}, {15, 23}, {9, 238}, {15, 32}, {15, 40}, {15, 44}, {3, 473}, {15, 46}, {15, 47}, {15, 48}, {9, 263}, {15, 49}, {3, 523}, {3, 526}, {12, 220}, {15, 116}, {6, 438}, {18, 19}, {0, 662}, {15, 128}, {18, 21}, {18, 22}, {15, 130}, {18, 23}, {6, 455}, {15, 136}, {18, 34}, {12, 252}, {15, 146}, {0, 683}, {18, 44}, {12, 267}, {18, 54}, {18, 56}, {18, 57}, {18, 58}, {18, 59}, {18, 106}, {3, 663}, {18, 155}, {9, 477}, {18, 157}, {15, 269}, {18, 164}, {9, 506}, {15, 312}, {9, 528}, {15, 320}, {6, 657}, {12, 476}, {18, 269}, {12, 522}, {12, 531}, {15, 425}, {9, 678}, {18, 378}, {18, 386}, {12, 665}, {15, 654}, {18, 603}, {2, 3}, {2, 6}, {2, 8}, {2, 9}, {2, 10}, {2, 15}, {2, 27}, {2, 32}, {2, 40}, {2, 80}, {2, 81}, {2, 94}, {2, 106}, {5, 6}, {5, 7}, {5, 9}, {5, 12}, {5, 14}, {5, 17}, {5, 18}, {5, 19}, {5, 39}, {5, 56}, {5, 60}, {5, 104}, {2, 221}, {8, 9}, {8, 10}, {8, 11}, {8, 20}, {8, 27}, {8, 28}, {8, 29}, {2, 245}, {2, 259}, {8, 46}, {5, 155}, {5, 168}, {8, 80}, {8, 83}, {8, 86}, {8, 108}, {11, 12}, {11, 24}, {11, 32}, {11, 35}, {11, 36}, {11, 50}, {5, 268}, {11, 86}, {11, 99}, {11, 101}, {11, 112}, {8, 228}, {14, 15}, {14, 16}, {14, 17}, {14, 18}, {8, 233}, {14, 19}, {14, 28}, {14, 36}, {14, 39}, {5, 362}, {14, 42}, {14, 43}, {14, 44}, {14, 45}, {8, 261}, {2, 494}, {5, 394}, {2, 515}, {2, 525}, {11, 218}, {14, 118}, {14, 121}, {14, 125}, {17, 18}, {17, 19}, {17, 21}, {17, 25}, {17, 30}, {17, 37}, {11, 256}, {17, 43}, {11, 265}, {17, 53}, {17, 54}, {17, 55}, {17, 105}, {2, 682}, {17, 148}, {17, 152}, {8, 477}, {5, 585}, {8, 489}, {14, 279}, {5, 608}, {14, 291}, {8, 527}, {17, 257}, {17, 258}, {11, 474}, {11, 522}, {11, 530}, {17, 343}, {17, 355}, {8, 681}, {11, 664}, {14, 575}, {14, 607}, {17, 552}, {17, 566}, {22, 23}, {22, 26}, {22, 30}, {22, 31}, {22, 48}, {22, 58}, {22, 65}, {22, 67}, {22, 69}, {22, 70}, {22, 110}, {22, 123}, {25, 26}, {25, 33}, {25, 37}, {25, 51}, {25, 61}, {22, 175}, {25, 72}, {25, 76}, {25, 78}, {22, 195}, {25, 113}, {25, 126}, {28, 29}, {28, 30}, {28, 31}, {28, 36}, {28, 65}, {25, 183}, {28, 81}, {28, 83}, {28, 84}, {28, 85}, {25, 207}, {25, 209}, {22, 337}, {28, 130}, {31, 33}, {31, 34}, {31, 70}, {31, 85}, {22, 410}, {31, 90}, {31, 91}, {31, 92}, {31, 93}, {28, 223}, {28, 225}, {22, 446}, {25, 340}, {31, 135}, {34, 37}, {28, 279}, {34, 74}, {34, 88}, {25, 413}, {34, 93}, {34, 96}, {34, 97}, {34, 98}, {31, 217}, {31, 238}, {31, 240}, {34, 139}, {25, 469}, {31, 285}, {37, 79}, {37, 98}, {37, 102}, {37, 103}, {34, 220}, {22, 649}, {34, 227}, {34, 245}, {37, 144}, {28, 483}, {34, 289}, {25, 634}, {28, 533}, {37, 232}, {37, 253}, {31, 478}, {37, 294}, {31, 511}, {31, 536}, {28, 677}, {34, 498}, {34, 516}, {34, 539}, {37, 486}, {37, 520}, {37, 521}, {37, 542}, {37, 668}, {21, 22}, {21, 23}, {21, 25}, {21, 30}, {21, 33}, {21, 47}, {21, 57}, {21, 64}, {21, 67}, {21, 68}, {21, 109}, {21, 122}, {24, 25}, {24, 26}, {24, 32}, {24, 36}, {24, 50}, {24, 60}, {21, 174}, {21, 177}, {24, 71}, {24, 75}, {24, 76}, {24, 77}, {21, 189}, {24, 112}, {24, 125}, {27, 28}, {27, 29}, {27, 30}, {27, 32}, {27, 35}, {27, 63}, {24, 182}, {27, 80}, {27, 81}, {27, 82}, {27, 89}, {24, 210}, {24, 214}, {21, 336}, {27, 128}, {30, 31}, {30, 33}, {30, 37}, {30, 69}, {30, 84}, {30, 89}, {30, 90}, {21, 425}, {27, 215}, {27, 218}, {21, 433}, {24, 339}, {24, 340}, {30, 134}, {33, 34}, {33, 37}, {27, 278}, {33, 73}, {33, 87}, {24, 412}, {33, 92}, {33, 95}, {33, 97}, {30, 216}, {30, 235}, {33, 138}, {36, 37}, {24, 467}, {30, 284}, {36, 77}, {21, 631}, {36, 96}, {36, 100}, {36, 101}, {36, 102}, {33, 219}, {33, 226}, {33, 244}, {33, 246}, {36, 142}, {39, 40}, {39, 41}, {39, 42}, {39, 43}, {27, 471}, {39, 44}, {27, 472}, {39, 45}, {39, 56}, {39, 60}, {27, 488}, {33, 288}, {39, 81}, {39, 100}, {24, 635}, {39, 104}, {27, 532}, {39, 105}, {39, 106}, {39, 107}, {39, 115}, {36, 230}, {36, 255}, {30, 471}, {30, 472}, {30, 500}, {36, 291}, {30, 535}, {27, 680}, {39, 278}, {33, 497}, {39, 290}, {33, 518}, {33, 538}, {39, 332}, {30, 673}, {36, 483}, {36, 541}, {36, 667}, {39, 573}, {39, 606}, {20, 21}, {20, 22}, {20, 23}, {20, 24}, {20, 28}, {20, 29}, {20, 46}, {20, 56}, {20, 63}, {20, 64}, {20, 65}, {20, 66}, {20, 108}, {20, 121}, {23, 26}, {23, 31}, {23, 33}, {23, 34}, {23, 49}, {23, 59}, {23, 66}, {23, 68}, {23, 70}, {23, 71}, {20, 179}, {23, 72}, {23, 73}, {23, 74}, {20, 182}, {20, 193}, {23, 111}, {23, 124}, {26, 34}, {26, 37}, {26, 52}, {26, 62}, {23, 176}, {26, 74}, {23, 181}, {26, 77}, {26, 78}, {26, 79}, {23, 199}, {23, 202}, {26, 114}, {20, 335}, {20, 336}, {26, 127}, {29, 31}, {29, 32}, {29, 33}, {29, 34}, {29, 66}, {26, 185}, {29, 82}, {29, 85}, {29, 86}, {29, 87}, {29, 88}, {20, 410}, {20, 418}, {26, 208}, {23, 338}, {29, 131}, {32, 33}, {32, 34}, {32, 36}, {32, 71}, {32, 86}, {32, 91}, {32, 94}, {32, 95}, {32, 96}, {29, 222}, {23, 439}, {29, 228}, {29, 230}, {29, 234}, {26, 341}, {32, 136}, {23, 462}, {35, 36}, {35, 37}, {29, 280}, {35, 75}, {26, 415}, {35, 94}, {35, 99}, {35, 100}, {35, 103}, {32, 218}, {32, 225}, {20, 656}, {32, 247}, {35, 140}, {32, 251}, {26, 467}, {38, 39}, {38, 40}, {38, 41}, {38, 42}, {38, 46}, {38, 50}, {38, 53}, {38, 63}, {32, 286}, {38, 75}, {38, 80}, {38, 99}, {38, 105}, {38, 109}, {38, 113}, {35, 228}, {35, 252}, {29, 478}, {29, 493}, {35, 290}, {29, 518}, {26, 636}, {29, 534}, {38, 257}, {38, 258}, {32, 496}, {32, 497}, {38, 295}, {32, 516}, {32, 537}, {38, 325}, {35, 482}, {35, 520}, {35, 521}, {35, 540}, {38, 524}, {35, 666}, {38, 609}, {38, 658}, {40, 41}, {40, 44}, {40, 46}, {40, 47}, {40, 48}, {40, 49}, {40, 54}, {40, 63}, {40, 71}, {40, 94}, {40, 106}, {40, 108}, {40, 109}, {40, 110}, {40, 111}, {40, 129}, {43, 44}, {43, 45}, {43, 47}, {43, 51}, {43, 53}, {43, 54}, {43, 55}, {43, 84}, {43, 102}, {43, 105}, {43, 115}, {43, 118}, {43, 119}, {43, 120}, {40, 259}, {46, 47}, {46, 48}, {46, 49}, {46, 50}, {46, 56}, {46, 57}, {46, 64}, {46, 65}, {46, 66}, {46, 67}, {46, 83}, {46, 86}, {40, 318}, {46, 108}, {46, 109}, {46, 121}, {46, 128}, {46, 129}, {46, 130}, {46, 131}, {46, 134}, {46, 148}, {46, 149}, {49, 52}, {43, 271}, {49, 59}, {43, 275}, {49, 66}, {46, 174}, {49, 68}, {49, 70}, {49, 71}, {49, 72}, {49, 73}, {49, 74}, {46, 187}, {40, 423}, {49, 111}, {49, 124}, {49, 131}, {49, 133}, {49, 135}, {49, 136}, {49, 137}, {49, 138}, {49, 139}, {49, 151}, {46, 261}, {46, 262}, {46, 271}, {46, 272}, {52, 62}, {52, 74}, {52, 77}, {52, 78}, {52, 79}, {46, 295}, {46, 298}, {46, 299}, {46, 301}, {52, 88}, {40, 525}, {52, 114}, {52, 127}, {52, 139}, {52, 142}, {52, 143}, {52, 144}, {52, 154}, {49, 264}, {55, 59}, {49, 274}, {55, 61}, {55, 62}, {55, 68}, {46, 400}, {55, 79}, {46, 402}, {55, 90}, {49, 313}, {52, 213}, {49, 324}, {40, 653}, {43, 547}, {55, 120}, {43, 565}, {55, 147}, {55, 151}, {55, 152}, {55, 153}, {55, 154}, {52, 267}, {58, 59}, {58, 62}, {52, 277}, {58, 67}, {58, 69}, {58, 70}, {52, 304}, {58, 93}, {49, 426}, {52, 327}, {52, 328}, {58, 123}, {49, 459}, {58, 150}, {55, 260}, {58, 157}, {58, 160}, {58, 162}, {58, 163}, {46, 652}, {55, 344}, {52, 463}, {52, 465}, {55, 358}, {58, 263}, {58, 273}, {58, 362}, {58, 363}, {58, 380}, {52, 619}, {55, 553}, {58, 595}, {42, 43}, {42, 44}, {42, 45}, {42, 46}, {42, 50}, {42, 53}, {42, 57}, {42, 61}, {42, 83}, {42, 101}, {42, 104}, {42, 105}, {42, 115}, {42, 116}, {42, 117}, {45, 49}, {45, 51}, {45, 52}, {45, 55}, {45, 59}, {45, 60}, {45, 61}, {45, 62}, {45, 76}, {45, 77}, {45, 85}, {45, 107}, {45, 117}, {45, 120}, {45, 124}, {45, 125}, {45, 126}, {45, 127}, {42, 257}, {42, 261}, {48, 49}, {42, 265}, {48, 52}, {48, 58}, {48, 65}, {48, 67}, {48, 69}, {48, 70}, {48, 91}, {48, 110}, {48, 123}, {48, 130}, {48, 132}, {48, 134}, {48, 135}, {48, 150}, {51, 52}, {51, 61}, {45, 280}, {51, 72}, {51, 76}, {51, 77}, {51, 78}, {48, 187}, {45, 294}, {51, 87}, {51, 113}, {51, 126}, {51, 137}, {51, 141}, {51, 143}, {51, 153}, {48, 263}, {54, 55}, {54, 57}, {54, 58}, {48, 273}, {54, 59}, {54, 69}, {54, 72}, {45, 398}, {48, 298}, {48, 299}, {54, 98}, {48, 314}, {54, 119}, {42, 568}, {54, 146}, {54, 148}, {54, 149}, {54, 150}, {54, 151}, {51, 266}, {57, 58}, {57, 59}, {57, 61}, {51, 276}, {57, 67}, {57, 68}, {42, 605}, {48, 400}, {48, 402}, {51, 302}, {57, 89}, {57, 97}, {51, 330}, {57, 122}, {45, 576}, {57, 149}, {54, 259}, {57, 156}, {57, 159}, {57, 160}, {57, 161}, {54, 348}, {54, 350}, {57, 262}, {57, 272}, {48, 645}, {57, 372}, {57, 374}, {51, 617}, {54, 561}, {57, 584}, {41, 45}, {41, 49}, {41, 50}, {41, 51}, {41, 52}, {41, 55}, {41, 66}, {41, 75}, {41, 82}, {41, 107}, {41, 111}, {41, 112}, {41, 113}, {41, 114}, {41, 141}, {44, 45}, {44, 47}, {44, 48}, {44, 49}, {44, 54}, {44, 56}, {44, 57}, {44, 58}, {44, 59}, {44, 64}, {44, 65}, {44, 96}, {44, 106}, {44, 116}, {44, 119}, {44, 121}, {44, 122}, {44, 123}, {44, 124}, {41, 260}, {47, 48}, {47, 49}, {47, 51}, {47, 57}, {47, 64}, {47, 65}, {47, 67}, {47, 68}, {41, 297}, {47, 95}, {47, 109}, {47, 122}, {47, 129}, {47, 132}, {47, 133}, {47, 149}, {50, 51}, {50, 52}, {50, 60}, {50, 61}, {44, 284}, {50, 71}, {44, 286}, {50, 76}, {50, 77}, {50, 78}, {50, 86}, {50, 101}, {50, 112}, {50, 113}, {50, 125}, {50, 136}, {50, 140}, {50, 141}, {50, 142}, {50, 144}, {41, 468}, {50, 152}, {50, 153}, {47, 262}, {44, 372}, {53, 54}, {53, 55}, {53, 57}, {47, 272}, {53, 61}, {53, 67}, {53, 78}, {53, 89}, {47, 306}, {47, 308}, {41, 526}, {50, 207}, {53, 103}, {50, 213}, {53, 118}, {53, 145}, {53, 146}, {53, 147}, {50, 265}, {50, 266}, {56, 57}, {56, 58}, {56, 59}, {56, 60}, {50, 275}, {50, 276}, {56, 64}, {56, 65}, {56, 66}, {41, 611}, {50, 301}, {56, 88}, {50, 325}, {50, 327}, {50, 328}, {56, 121}, {56, 148}, {56, 149}, {53, 258}, {56, 155}, {56, 156}, {56, 157}, {56, 158}, {56, 162}, {59, 62}, {44, 600}, {59, 68}, {59, 70}, {59, 72}, {59, 73}, {59, 74}, {53, 335}, {59, 124}, {53, 339}, {50, 463}, {50, 465}, {59, 151}, {56, 261}, {56, 262}, {59, 158}, {59, 161}, {59, 163}, {56, 271}, {59, 164}, {56, 272}, {59, 165}, {59, 166}, {59, 167}, {47, 628}, {56, 362}, {56, 363}, {56, 365}, {59, 264}, {59, 274}, {50, 618}, {53, 535}, {53, 542}, {59, 379}, {59, 391}, {56, 602}, {60, 61}, {60, 62}, {60, 71}, {60, 76}, {60, 77}, {60, 91}, {60, 125}, {60, 152}, {60, 153}, {60, 164}, {60, 168}, {60, 169}, {60, 170}, {63, 64}, {63, 65}, {63, 66}, {60, 173}, {63, 69}, {63, 71}, {63, 75}, {63, 81}, {63, 82}, {63, 128}, {63, 129}, {63, 155}, {60, 265}, {60, 266}, {60, 275}, {60, 276}, {63, 174}, {63, 175}, {66, 68}, {63, 176}, {66, 70}, {66, 71}, {66, 72}, {66, 73}, {66, 74}, {66, 85}, {66, 87}, {66, 88}, {66, 131}, {60, 365}, {66, 158}, {66, 176}, {69, 70}, {66, 178}, {60, 394}, {69, 73}, {60, 395}, {66, 181}, {66, 182}, {66, 183}, {66, 184}, {66, 185}, {69, 79}, {66, 194}, {69, 89}, {69, 90}, {63, 345}, {69, 134}, {69, 162}, {69, 180}, {69, 187}, {69, 193}, {63, 408}, {69, 194}, {63, 417}, {66, 344}, {66, 347}, {60, 588}, {66, 409}, {66, 411}, {66, 422}, {69, 348}, {66, 461}, {69, 408}, {63, 632}, {69, 440}, {63, 655}, {69, 641}, {61, 62}, {61, 72}, {61, 78}, {61, 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