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0.847656979803 0.287811602266 0.0209043033773 0.547906995239 0.018704691689 0.858708904423 0.283694332421 0.209664470309 0.700669439271 0.177975246523 0.432226884456 0.425204735648 0.319266278534 0.455916874215 0.541743992482 0.592514373525 0.466405782058 0.831548553565 0.825347018566 0.882263067967 0.598413004343 0.87749837246 0.324981430069 0.956908977139 0.893277225132 0.562038203507 0.544464283368 0.765627249666 0.35547209939 0.926062538301 0.585018361844 0.386235973039 0.35037316447 0.0529618822305 0.600820948846 0.239957419593 0.586386876352 0.743247797004 0.277086156147 0.271855471503 0.721700289637 0.460330635845 0.264712260048 0.965918505545 0.386780082718 0.30381010872 0.782034198318 0.0923640141662 0.381241607217 0.939111091239 0.388529985829 0.953082670776 0.904667861701 0.176916666629 0.436055491802 0.586064205362 0.765339430515 0.295813839043 0.758421743979 0.908662588039 0.308031855021 0.455386791132 0.683320658843 0.711886825201 0.367770146437 0.718107390604 0.332141523056 0.0934866088999 0.715233173383 0.702753300633 0.814356098495 0.0907691633975 0.169705438206 0.117038337252 0.824029717734 0.144066854613 0.156326820836 0.729545422953 0.908013748768 0.876536432193 0.39947261572 0.933780723302 0.831160163084 0.920487264522 0.0972570525522 0.162405369953 0.179393378787 0.0035725826944 0.218083850465 0.115365440722 0.605981818339 0.365287201644 0.690688843817 0.197001027669 0.38852715775 0.976838267386 0.418474378115 0.575385865202 0.608193141544 0.859316902912 0.483759189215 0.827335988743 0.270654702692 0.503026796048 0.0975378888325 0.0400943119447 0.480747376248 0.624495365923 0.137720375955 0.742802852058 0.226455543778 0.65158339936 0.91898215946 0.869174209728 0.83772980235 0.335390955961 0.642544626366 0.497011362539 0.788096125899 0.227885681538 0.278638061455 0.786348031698 0.838889668941 0.531629400006 0.483907452396 0.189864228457 0.706279126531 0.859358156396 0.908531028063 0.487052628111 0.344220487011 0.683956304183 0.146870083971 0.748578331742 0.0221551854611 0.092040149801 0.0670997048019 0.177815108072 0.935268604049 0.770185989015 0.257747636216 0.164824743585 0.900562841215 0.848775501031 0.853371285264 0.201503802647 0.357889323988 0.395653230219 0.676914252703 0.748605969146 0.755147234074 0.467414808107 0.0602866503853 0.155426124483 0.654479969722 0.00740998164449 0.565673574385 0.694838689624 0.128533025411 0.730235836251 0.704555586056 0.299600610582 0.589990902231 0.576752237886 0.526771435225 0.832217822089 0.948808819222 0.618639205364 0.130749837158 0.797271458191 0.406063462416 0.159358197935 0.597039542081 0.591763322248 0.26152324392 0.884680459131 0.616921650685 0.1710825207 0.272609163428 0.00373539720499 0.0555290716988 0.579687250178 0.16775643923 0.637379219656 0.131874214395 0.0513797777882 0.135191707135 0.828234699712 0.940249203063 0.993454635889 0.207508360314 0.967476622514 0.496645261993 0.479315032486 0.635054137075 0.394144774231 0.712321091884 0.308069391261 0.130897871828 0.997358897788 0.7677522539 0.357671612732 0.839848583393 0.00618993183787 0.423984745425 0.467097531364 0.875862691869 0.305848784194 0.755507550076 0.942066651173 0.492567184754 0.226929988944 0.452359936182 0.761461383995 0.863329566717 0.309278259598 0.207964267128 0.896221548549 0.874154555298 0.0853755108166 0.658468029563 0.569536921703 0.78294531597 0.543406556109 0.250301220838 0.221242704834 0.76277886543 0.763942523226 0.709233982621 0.486046956769 0.0116741649452 0.411927880182 0.0544788380053 0.846919750782 0.836606888234 0.771468082333 0.501758613911 0.0114142916024 0.774144927569 0.478913726546 0.204531037324 0.539385157952 0.823467002277 0.169452168173 0.240964147889 0.471816422223 0.536572648596 0.552022677439 0.748824193099 0.189557868565 0.765602523285 0.553480884835 0.541858464146 0.986859677977 0.10137809425 0.612854026919 0.296577783531 0.583367076449 0.521702903612 0.00588679212812 0.162219778044 0.148359089272 0.0556657826313 0.510285945611 0.572354496907 0.914419297506 0.254163626633 0.516212385463 0.0557699201665 0.269684197737 0.925606992542 0.545088547503 0.777028911722 0.250029741667 0.606978709285 0.583214049409 0.800441234719 0.666573627025 0.965173904097 0.545556892278 0.0329239515244 0.355846581391 0.82638481559 0.404594184605 0.353101511409 0.293293175559 0.798762923388 0.584747852938 0.912492672094 0.769132772401 0.68913735892 0.111072484942 0.84794787422 0.384286416327 0.997841150758 0.725802003838 0.771333532331 0.0478390297843 0.312515109648 0.530387622889 0.443638908743 0.901772824021 0.0491308797827 0.113450323439 0.661217179189 0.376884540072 0.116353002491 0.971958380207 0.563406760678 0.628184556665 0.415874010522 0.838113505149 0.338266698667 0.836263097047 0.508144738809 0.96837766733 0.331855597997 0.325443907468 0.657061156104 0.499192389925 0.121595168501 0.790334773269 0.559744399446 0.140554348634 0.308757828375 0.553413563551 0.575749296352 0.583728594347 0.745931498594 0.746884538774 0.427106899236 0.0127383800178 0.282679767066 0.837033544081 0.486641780494 0.620132581316 0.178896370748 0.779891424644 0.354496661262 0.767554161982 0.687381543685 0.526601068314 0.603720219135 0.243167119783 0.108745060896 0.980172966992 0.0314051526029 0.735084176648 0.764195753606 0.316278747781 0.394523422323 0.965174284673 0.558395030814 0.277206469705 0.725197427894 0.598757759707 0.512882492912 0.929407556455 0.547425829839 0.218013350487 0.490879078414 0.021819406109 0.78221676857 0.645759807334 0.00450835448484 0.140405373903 0.987587137938 0.799472339766 0.771425663957 0.431582870062 0.911674355913 0.247193851048 0.308661645233 0.108519020564 0.62895761499 0.0279516671194 0.664528902793 0.325220507601 0.381315647811 0.239733044103 0.694955058882 0.0189981949386 0.165340503452 0.840341968294 0.45970357696 0.996454643346 0.841317421108 0.82205828513 0.833361815691 0.761725827851 0.519652991271 0.853582743567 0.544058976816 0.231409838754 0.736451690763 0.0481847912735 0.961909151518 0.321522079958 0.337477719967 0.888030214833 0.793943627467 0.209407148445 0.234436937992 0.341792059387 0.372610834847 0.577423292282 0.26333641201 0.369014095422 0.0648970357569 0.227002944284 0.865352953026 0.32248226836 0.20860804853 0.288825067365 0.626960285427 0.549018661402 0.37130085398 0.982022987228 0.348703837959 0.216126197954 0.206631419825 0.276001861168 0.887763913613 0.0371639078216 0.0696386984826 0.265270416025 0.836510178673 0.50675622936 0.974251792808 0.393450213883 0.107898711633 0.0665784241347 0.519571240417 0.434794903747 0.894037492354 0.386835735814 0.213047278975 0.0957638318666 0.235585775797 0.78389606907 0.883744846736 0.854644345811 0.719298028469 0.991518407154 0.0752565839308 0.91188254053 0.682137948748 0.90947682677 0.112455526136 0.0621499717215 0.0579517778595 0.894936295808 0.502963020128 0.729194021858 0.408323132858 0.627578465726 0.399774679678 0.259880141693 0.54890398495 0.517579124661 0.0148035018765 0.330697843282 0.307755860087 0.784030274038 0.134656563356 0.229158452057 0.403378807009 0.0565050691318 0.0958602309739 0.352099997661 0.078518254668 0.315933334363 0.0552994514072 0.733518111062 0.347362736134 0.533095026452 0.966906315503 0.441992518757 0.460571402517 0.66495521415 0.163573151841 0.328410523103 0.148876610928 0.119462177731 0.848668982047 0.740715368664 0.459316031216 0.921170688138 0.321042242821 0.0295431567116 0.386046570687 0.498269015848 0.226094346986 0.337218095511 0.844910502692 0.884140810859 0.0423988757329 0.0765202110251 0.451728561896 0.849881659512 0.844303456365 0.524408166449 0.920152042232 0.313076599859 0.745082465273 0.26345508124 0.459285289405 0.993033346613 0.836583826189 0.110077710318 0.201726854809 0.547245123028 0.36249176245 0.0735848069031 0.499164839967 0.218040380166 0.47751744757 0.577149992284 0.191651992167 0.620408017137 0.133682934597 0.484932314708 0.131296600242 0.114977097594 0.406512273819 0.30270902927 0.208121489723 0.477593797821 0.999297462656 0.827364666914 0.455151448689 0.221969877388 0.0596045229279 0.736768781403 0.517721899026 0.329673304946 0.981393062944 0.794986591963 0.0830206056377 0.997153244515 0.403223122056 0.957969874137 output 1 927 150 164 303 236 177 920 807 385 917 123 875 310 245 699 313 93 636 356 534 533 332 551 535 859 848 910 342 490 690 24 458 110 337 405 41 963 91 895 281 598 377 746 229 986 763 67 151 974 100 311 387 264 531 819 344 269 631 18 199 226 675 948 184 629 518 773 586 456 360 822 954 945 610 782 455 416 61 725 39 72 635 94 978 305 797 881 613 772 528 798 806 432 912 568 265 575 81 580 934 577 50 942 864 429 152 517 960 457 870 412 250 190 965 643 964 656 717 491 516 145 845 42 26 417 661 701 212 993 686 206 852 156 257 476 103 370 258 933 131 169 273 609 208 327 970 382 976 931 727 74 729 619 194 188 888 390 749 544 564 733 462 375 78 842 593 214 7 706 940 936 301 641 660 367 137 374 962 6 860 637 971 991 447 702 766 640 219 774 228 632 119 800 683 713 155 34 583 54 916 351 260 321 663 90 939 919 958 479 204 872 271 752 992 492 48 339 77 268 465 326 995 28 45 617 239 345 815 712 391 101 187 122 298 792 670 987 721 835 705 215 501 79 276 645 659 532 997 461 459 906 471 926 84 909 191 213 891 172 47 514 384 175 818 647 52 607 62 133 423 242 747 901 481 470 590 572 745 775 684 254 918 76 676 599 227 31 882 207 127 827 422 55 668 304 136 719 722 139 259 946 116 407 211 183 21 290 826 700 324 832 735 328 803 319 715 592 736 760 427 460 781 408 218 879 892 143 858 688 195 418 368 129 362 493 109 863 200 850 985 646 489 297 317 315 990 308 27 358 521 861 73 336 731 548 669 626 57 508 615 29 820 398 509 510 681 628 279 857 601 411 329 525 320 352 442 395 56 106 996 966 903 83 570 680 561 890 814 350 537 672 513 921 299 823 649 132 82 46 343 295 88 846 202 549 75 603 280 558 209 732 433 955 952 388 166 394 312 999 591 883 902 829 341 8 51 420 189 655 233 378 205 262 838 12 825 238 751 555 709 741 648 474 181 282 938 704 439 334 777 905 1000 755 754 770 363 973 450 880 198 314 608 780 364 738 235 979 272 547 502 173 885 687 30 899 163 389 430 620 36 553 671 961 536 80 886 294 929 240 744 253 480 431 121 14 529 817 523 896 483 790 409 949 507 651 703 275 107 445 9 625 898 438 278 796 784 809 768 333 158 650 244 821 285 138 692 399 989 664 785 251 678 616 556 160 466 522 682 95 241 795 469 762 222 347 37 146 473 381 63 165 503 170 957 576 588 594 393 102 932 179 193 180 967 126 639 975 22 425 64 778 757 19 224 40 988 144 397 161 2 897 783 348 539 621 541 969 435 25 546 96 60 956 540 836 441 453 545 289 114 743 225 748 808 658 59 16 602 4 667 325 728 309 884 569 203 816 867 811 893 149 300 737 261 853 354 959 201 498 167 256 600 788 889 99 597 400 515 638 618 750 634 844 589 900 581 937 69 486 520 85 840 120 414 907 454 718 446 17 419 92 293 331 168 178 428 761 606 764 674 44 355 911 566 584 868 624 587 623 694 89 487 234 596 579 357 560 296 874 277 972 924 847 246 323 726 557 361 413 464 220 843 87 894 302 128 346 484 804 49 477 552 291 404 192 13 524 338 793 118 953 595 35 543 186 740 424 862 20 585 779 677 142 396 468 812 925 157 113 318 908 266 108 562 983 922 494 887 443 689 856 217 644 472 231 10 216 147 306 437 380 951 505 105 834 23 286 140 248 421 630 287 771 221 977 739 406 237 270 622 759 426 573 53 288 267 386 542 373 322 923 693 950 801 366 769 786 662 247 15 673 691 824 571 176 316 652 174 720 708 994 913 998 292 134 799 657 877 567 478 68 813 372 230 559 500 512 154 697 869 182 538 70 449 968 550 944 440 504 679 928 171 981 283 365 947 141 255 392 463 104 527 794 130 865 330 742 526 159 249 71 723 125 698 873 496 855 841 376 65 791 434 980 943 506 401 716 849 252 805 914 402 448 627 612 111 185 379 223 871 876 117 519 787 565 98 935 833 837 730 5 604 654 210 714 274 243 263 482 915 410 554 563 574 162 756 307 802 578 497 642 851 124 530 724 930 614 789 11 436 467 866 383 758 904 66 495 666 707 369 359 349 696 665 3 830 711 97 828 153 810 451 982 43 444 371 58 403 197 112 284 232 776 734 633 854 115 695 148 767 135 611 984 415 839 605 196 485 685 32 340 499 335 86 710 452 653 941 831 33 582 878 511 38 765 475 753 353 488 1
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677 552 685 997 106 543 320 464 379 953 900 338 319 255 427 243 392 818 407 317 743 466 507 305 690 469 638 420 218 835 597 672 271 704 234 71 62 729 382 178 774 279 931 99 904 963 348 394 238 878 288 225 39 444 946 13 565 936 819 605 156 432 887 166 438 831 726 294 264 673 302 447 595 349 593 832 307 855 902 358 892 330 125 870 622 964 590 607 31 396 485 856 578 703 688 370 185 710 579 713 872 387 94 897 421 633 929 165 445 514 189 678 124 183 139 612 559 967 499 624 126 115 961 82 90 159 939 356 739 668 722 127 766 799 216 745 318 135 740 48 604 249 709 194 716 798 940 121 310 920 390 210 751 145 757 439 9 388 242 498 49 429 134 600 140 570 314 458 732 529 867 195 360 587 20 658 635 911 510 603 283 402 862 187 785 184 895 232 77 11 720 582 824 342 847 335 423 753 110 966 619 909 416 850 268 435 341 503 460 425 1000 509 865 712 912 144 786 810 61 516 70 650 261 636 796 691 639 686 299 611 251 481 731 222 229 625 560 520 102 98 266 738 181 962 91 484 157 287 535 116 974 152 951 657 398 325 400 674 45 917 801 457 748 749 431 852 960 576 807 147 386 112 347 642 43 368 131 747 864 72 735 955 634 752 492 681 528 278 205 599 998 829 925 515 804 782 861 56 34 286 272 89 525 289 995 976 59 176 483 907 773 916 949 295 75 990 85 700 203 598 437 405 736 869 151 853 613 303 583 935 833 141 236 372 915 779 475 449 549 336 984 479 252 762 860 324 584 993 497 542 76 711 269 937 50 332 823 247 942 626 366 212 932 383 162 161 721 882 770 496 389 666 472 620 821 428 495 454 174 842 167 841 66 221 442 354 306 219 180 816 480 474 191 173 2 448 815 355 760 523 235 834 913 113 640 791 671 74 491 65 802 24 504 63 988 224 656 653 564 100 661 969 979 689 651 788 632 575 308 111 617 455 92 645 586 511 41 682 21 470 200 182 60 28 339 574 377 965 848 884 687 333 553 877 105 380 977 4 702 79 284 621 275 554 190 8 293 201 513 763 859 571 943 628 254 290 209 129 759 22 285 891 196 343 434 57 490 647 728 164 410 556 73 676 6 536 723 359 465 905 812 557 606 58 659 883 208 888 693 724 153 413 36 947 385 880 245 168 436 615 699 714 309 117 211 350 846 315 772 756 999 220 54 462 281 665 585 648 452 424 755 461 610 146 346 83 55 223 567 546 108 399 885 641 381 881 170 241 411 68 35 87 577 550 675 188 548 5 934 981 493 906 422 923 476 109 265 323 328 813 580 926 417 767 725 631 501 7 64 588 418 629 914 876 705 750 837 316 839 373 517 260 609 202 401 27 830 809 142 374 986 15 40 226 304 104 508 594 233 537 630 154 171 527 97 453 581 217 950 403 321 478 531 910 297 468 941 397 927 298 521 662 352 393 551 968 978 415 237 908 958 365 769 451 391 858 204 827 776 81 742 26 25 160 280 42 277 795 996 198 88 775 273 792 777 875 378 933 207 186 148 994 276 240 805 591 364 608 975 329 845 768 618 838 313 991 459 494 263 945 473 715 569 814 873 463 825 959 376 149 404 879 215 764 568 228 539 128 130 652 344 679 44 558 409 300 282 893 664 262 175 573 206 667 23 654 47 972 172 456 362 199 138 426 17 136 30 922 843 395 643 345 46 708 95 563 369 789 545 52 169 367 938 93 433 518 836 84 163 697 143 854 886 67 778 555 361 683 334 602 51 533 547 120 506 874 227 541 694 973 696 669 644 793 291 980 572 733 857 530 761 214 1
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597 68 708 301 704 733 70 141 168 374 546 812 879 892 130 188 64 862 692 785 617 375 28 516 974 434 245 102 828 778 501 125 150 155 579 177 648 923 243 871 401 924 457 613 789 336 660 413 238 803 996 393 943 537 684 118 172 196 97 185 606 726 366 799 195 895 820 203 2 76 698 12 424 746 156 50 521 590 428 863 945 595 98 602 702 544 309 550 899 205 589 848 490 808 632 242 217 530 631 269 73 504 723 412 392 367 208 646 841 34 614 885 117 131 136 712 819 551 626 354 930 192 420 719 624 142 847 637 583 729 315 932 548 403 14 396 793 679 638 261 565 553 23 721 524 320 564 526 72 321 578 645 151 760 104 214 54 187 313 826 87 484 19 969 302 844 211 902 978 952 706 292 938 80 710 1000 260 4 539 782 132 518 274 435 944 732 610 275 856 639 276 883 720 927 373 9 691 343 683 100 743 270 444 666 865 224 561 741 966 823 901 280 383 949 948 16 421 588 711 800 183 542 926 152 323 860 976 581 821 897 443 787 255 935 670 194 931 397 707 599 915 896 960 471 110 191 325 797 25 37 419 154 215 866 175 24 742 265 811 977 540 228 335 219 30 357 41 815 971 288 289 495 58 222 612 633 507 783 834 878 502 824 143 158 587 870 836 476 854 695 547 982 696 933 809 662 299 267 804 157 411 467 681 525 438 213 206 303 119 928 241 101 655 74 975 82 914 629 371 379 869 494 212 888 703 628 116 556 129 657 941 880 685 771 166 549 832 527 399 83 216 690 244 49 647 20 334 415 607 281 258 962 534 659 541 958 859 788 916 748 197 483 810 291 107 167 777 907 264 970 999 423 861 5 236 453 997 734 829 689 122 271 305 380 450 365 94 600 576 574 776 640 42 328 359 283 84 458 475 775 756 181 973 455 247 282 48 88 497 920 596 491 838 220 370 725 277 884 845 605 481 492 678 319 146 592 339 316 248 529 557 329 470 278 362 406 713 506 937 649 498 234 479 38 482 580 251 135 882 641 562 560 705 35 3 673 837 312 995 616 992 569 140 293 32 853 356 604 8 714 95 437 297 816 21 361 69 802 520 755 287 850 827 330 986 465 389 440 868 331 246 226 318 750 900 730 378 994 694 294 338 174 447 404 337 608 517 955 466 985 381 664 898 554 311 951 409 268 998 391 405 221 425 189 993 249 642 989 857 514 770 111 427 990 586 864 63 388 693 634 77 724 716 327 218 875 636 575 407 259 454 376 515 190 745 919 858 699 353 179 153 658 474 947 505 202 513 322 43 545 968 622 511 687 114 78 954 350 286 341 794 987 563 894 738 27 237 654 352 57 889 123 284 333 398 591 223 881 909 886 279 81 402 139 103 644 11 193 416 620 701 830 395 737 442 306 121 786 627 967 45 651 571 488 758 149 433 700 677 843 686 431 609 780 253 324 128 210 813 643 715 665 774 840 489 957 31 59 408 959 355 62 464 273 523 377 147 795 171 67 852 372 254 384 93 972 29 182 169 912 873 225 304 801 256 89 936 722 134 163 250 763 922 611 876 75 671 417 340 230 807 148 390 472 133 925 387 51 162 439 767 96 165 833 460 739 272 522 903 988 577 47 668 369 814 364 676 56 790 594 40 235 65 485 351 939 198 296 240 503 656 584 961 784 817 478 519 768 552 934 91 39 252 749 13 508 911 543 449 661 791 452 625 532 266 538 533 199 536 890 593 623 410 910 917 10 740 728 983 186 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318 41 861 30 492 840 974 996 712 60 763 66 215 315 760 777 275 646 114 726 133 425 964 804 71 269 366 734 307 913 476 530 780 68 767 612 837 8 656 417 218 876 573 674 252 488 867 933 723 802 566 958 685 137 251 186 693 807 129 402 302 748 846 630 54 496 322 391 257 940 263 159 706 819 650 20 718 847 423 635 986 469 835 1000 421 971 24 790 549 5 970 344 657 554 61 201 961 371 378 411 506 866 312 604 863 380 413 119 363 153 925 927 62 700 146 387 515 205 953 121 520 676 239 37 658 22 903 67 746 45 626 683 900 912 157 621 918 629 374 556 981 83 326 702 811 722 628 296 815 463 104 938 359 500 524 441 897 190 519 97 82 79 397 899 116 468 461 115 636 347 42 226 199 892 792 3 350 924 743 410 507 653 518 929 822 27 295 484 433 600 817 864 585 791 588 745 522 467 553 757 907 567 639 277 32 824 539 601 253 851 680 458 982 451 502 310 584 665 367 389 948 264 183 162 56 280 552 862 756 187 100 196 396 931 818 615 801 872 535 944 939 562 557 84 845 320 672 937 501 923 242 878 631 419 608 365 926 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102 138 833 109 355 551 195 460 638 742 244 340 750 869 825 789 755 813 832 12 1
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53 75 419 642 111 322 125 10 375 77 377 14 330 634 235 504 922 12 677 167 747 599 819 617 130 275 961 387 68 395 937 224 161 354 333 252 44 458 615 71 545 574 453 278 897 962 157 620 141 481 824 205 527 999 744 846 825 242 136 780 182 645 46 715 655 569 122 32 998 226 801 484 603 572 364 457 571 198 630 689 425 103 173 874 296 320 887 734 567 307 957 823 154 668 82 680 659 788 319 65 784 444 697 353 372 257 347 243 718 172 939 63 719 971 429 714 736 114 766 212 705 900 317 854 548 639 696 523 921 757 451 482 857 261 271 35 126 31 218 771 888 811 968 808 19 181 604 388 577 146 23 384 310 440 120 765 13 508 838 342 622 244 352 346 926 613 602 474 156 812 731 794 559 358 41 959 551 579 987 745 67 132 519 526 840 378 64 119 297 564 831 627 536 174 488 148 966 249 972 493 262 17 170 835 52 849 785 624 273 580 686 724 298 820 575 869 916 761 978 716 430 901 879 58 664 327 452 277 512 896 362 158 843 876 442 491 187 914 313 522 951 596 701 98 578 176 539 755 903 940 917 629 410 910 588 694 468 465 159 274 816 913 95 525 867 638 927 931 713 135 266 426 646 586 650 870 847 799 356 858 850 635 463 81 497 479 965 986 735 312 349 688 69 100 363 611 216 524 131 240 665 786 581 264 27 490 934 853 302 763 749 456 657 361 350 441 461 285 109 48 738 878 221 455 290 829 424 956 511 933 345 8 1000 128 730 213 305 184 282 932 554 769 133 487 379 597 315 168 964 507 817 227 36 967 983 710 796 97 944 728 334 929 845 855 833 628 720 661 394 632 946 163 368 949 809 90 996 386 137 324 576 584 222 842 663 515 969 789 974 889 498 374 62 76 764 518 918 92 447 740 329 29 648 942 841 739 767 239 414 108 640 549 80 397 115 203 237 287 748 667 110 231 807 169 166 153 947 258 112 754 428 389 404 399 411 200 210 647 533 197 623 821 592 928 84 385 40 593 26 945 140 893 760 778 24 7 438 862 233 952 405 34 672 873 93 190 232 195 557 871 331 687 690 606 225 733 981 381 618 432 991 844 750 899 188 608 510 704 337 138 418 530 503 756 977 990 684 683 228 433 56 473 219 185 281 880 178 547 591 902 121 105 637 54 777 573 267 9 341 775 129 904 300 340 658 412 797 149 234 101 675 437 217 535 255 86 513 116 924 818 304 177 950 625 383 727 398 859 542 975 860 89 208 248 427 142 600 528 698 464 18 478 43 355 250 3 941 607 42 685 160 737 883 970 988 11 214 708 521 582 644 912 759 401 193 925 813 91 253 403 85 707 155 486 201 989 343 702 391 367 790 446 460 360 236 99 171 768 483 4 104 61 960 371 183 202 553 96 344 211 37 462 459 30 830 741 935 605 500 251 891 532 538 390 369 79 774 583 856 652 568 338 306 204 206 207 472 191 792 292 781 339 139 6 260 293 87 529 38 422 563 832 712 2 562 143 681 423 284 954 376 700 247 898 570 595 827 649 828 699 16 516 28 241 673 223 467 283 102 25 123 489 773 280 495 717 585 587 268 164 476 332 800 743 885 505 872 886 982 78 614 540 589 117 711 566 256 186 695 409 884 220 826 861 279 550 492 272 70 955 822 834 643 357 124 311 47 127 776 670 802 309 299 803 265 556 671 502 691 976 144 466 682 336 494 392 15 815 335 443 722 359 436 431 88 674 415 196 866 295 175 565 751 994 837 709 501 725 118 791 742 289 59 666 662 616 980 753 890 94 919 882 601 653 134 348 762 407 480 150 286 558 852 1
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570 405 696 31 833 115 667 41 234 556 887 431 347 748 724 374 187 134 896 825 66 62 574 645 810 385 268 747 363 839 600 279 986 331 96 555 120 390 537 728 201 812 316 842 617 43 743 76 472 471 241 904 397 612 463 776 592 893 817 462 902 910 135 334 969 276 623 218 421 683 915 225 994 39 723 844 547 580 464 490 309 959 70 603 564 440 375 229 764 465 622 460 708 482 240 254 466 396 320 138 153 371 595 875 725 655 102 60 29 487 685 777 627 970 731 553 653 939 795 204 734 349 265 804 322 816 756 477 255 500 294 691 446 522 984 182 415 454 933 123 716 416 671 203 160 980 226 926 237 512 888 407 606 956 952 486 800 179 690 565 637 852 342 178 897 436 572 453 247 357 999 38 912 337 441 476 920 325 139 35 249 705 679 156 191 532 511 744 387 928 9 871 589 300 657 209 884 670 361 850 703 979 632 967 699 149 533 818 369 298 908 170 599 295 870 502 474 975 129 991 865 219 220 447 414 133 643 87 217 740 174 86 19 835 260 26 535 505 538 857 289 58 909 573 673 972 483 200 814 119 684 323 765 665 738 172 210 262 473 877 924 534 171 788 717 383 654 214 594 918 610 790 127 578 551 411 100 880 112 714 953 674 242 239 495 527 701 469 855 815 983 581 456 597 771 585 428 773 36 841 124 81 221 867 993 92 940 141 15 543 368 695 780 845 79 30 498 677 98 666 59 190 822 591 497 216 422 459 963 455 876 549 836 806 660 787 126 976 682 314 238 736 17 824 830 37 48 235 395 73 470 649 366 341 402 159 333 783 774 706 10 602 958 525 931 401 827 735 175 364 117 292 861 144 631 192 321 530 236 339 97 872 681 259 659 433 528 540 798 377 272 536 47 184 277 132 838 250 935 140 761 104 452 457 155 571 95 741 707 449 197 389 427 843 493 439 694 107 552 280 131 327 890 484 947 283 715 803 65 181 644 22 69 84 372 586 163 907 847 964 802 64 319 638 615 275 150 561 168 71 737 418 426 354 284 692 13 508 350 799 370 557 906 577 378 373 732 49 739 40 550 985 113 789 548 154 287 566 180 352 413 929 177 332 110 786 948 116 33 805 359 267 205 222 7 330 957 305 781 925 381 437 879 326 568 243 729 227 913 733 403 516 67 329 519 702 56 429 310 16 185 94 840 491 4 628 945 539 14 981 18 672 965 282 779 246 791 529 264 669 80 1000 417 611 288 829 492 546 567 46 898 860 12 399 678 75 899 992 978 318 619 894 412 479 759 661 903 858 766 445 942 501 821 199 754 750 624 769 927 258 101 44 973 656 105 662 380 639 183 281 394 859 689 801 868 8 504 335 974 658 588 934 730 862 598 313 324 962 647 21 510 308 960 987 161 77 195 758 106 951 89 230 3 299 507 169 648 340 524 53 895 142 711 633 688 941 467 675 27 382 514 509 166 680 351 157 517 954 410 863 977 494 770 961 921 261 652 145 563 811 263 676 286 713 271 753 604 338 775 54 664 253 251 807 634 328 293 998 252 151 188 520 270 55 5 710 521 50 698 25 85 943 755 937 587 206 697 864 886 712 109 668 232 68 793 911 108 794 650 640 853 223 304 772 881 384 82 478 544 224 749 854 792 458 266 228 212 296 128 303 103 355 641 196 936 408 388 420 848 596 244 291 307 831 722 746 663 523 367 211 111 726 315 613 930 616 442 621 727 231 269 946 485 360 768 481 686 376 531 849 285 593 435 125 813 503 343 406 625 432 751 629 404 966 721 719 122 562 923 398 451 885 968 763 257 797 834 74 193 883 51 198 541 83 202 1
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368 130 184 965 824 749 425 239 612 583 304 204 317 369 451 984 267 160 536 651 637 531 710 544 386 530 241 406 440 437 790 884 928 506 996 645 280 384 809 305 748 966 745 82 66 980 355 61 839 480 459 942 224 265 465 399 930 848 445 639 568 327 365 519 96 973 797 552 561 563 880 753 462 997 183 962 857 412 51 756 837 152 140 713 246 345 508 494 354 485 228 359 959 393 448 779 512 939 991 941 599 722 174 461 85 614 244 757 883 133 157 196 831 318 63 231 619 566 400 235 592 181 652 509 284 443 807 175 40 560 328 611 497 7 390 330 409 334 982 12 162 501 11 629 573 375 572 22 87 981 325 504 45 248 13 621 132 138 381 974 909 741 426 812 31 106 232 532 306 845 835 870 114 866 843 134 731 849 886 634 324 129 28 166 642 84 41 211 169 565 427 772 864 313 936 447 115 693 201 383 780 253 299 168 528 285 428 378 915 901 361 110 829 388 860 458 329 298 523 292 436 588 587 979 36 890 635 735 88 521 526 954 153 217 778 675 750 333 75 49 897 684 148 431 529 206 871 210 344 25 3 289 442 814 868 360 117 124 346 600 763 503 816 924 826 135 647 836 961 350 891 215 247 505 136 627 449 692 151 435 773 507 155 357 72 907 579 971 513 539 946 549 811 623 81 798 743 488 758 423 806 659 724 665 975 119 970 172 641 26 332 125 589 510 810 364 202 788 491 805 433 993 783 802 679 937 337 78 331 660 349 576 144 636 150 420 347 131 468 276 841 765 686 957 877 200 495 385 514 518 968 250 929 998 410 935 340 54 429 874 161 188 233 586 582 59 795 767 444 701 699 547 742 92 127 736 607 520 628 323 569 919 689 895 624 80 24 212 789 669 676 213 422 900 952 889 223 309 562 944 638 875 165 658 351 769 216 661 672 625 322 708 774 834 663 457 933 668 865 794 463 291 906 815 840 20 389 892 716 800 908 709 404 546 52 992 685 30 356 17 316 396 923 714 176 193 746 44 608 71 943 123 195 674 173 972 236 484 564 366 934 37 827 69 251 616 825 205 104 725 341 775 214 21 570 76 559 58 180 179 499 911 471 707 498 852 953 414 492 667 439 496 700 704 430 776 288 715 951 732 524 786 819 912 766 931 227 307 594 274 177 101 878 272 97 321 610 955 609 664 822 986 987 487 493 19 577 100 785 159 39 185 23 964 490 867 405 918 218 744 760 9 73 796 249 477 738 727 799 705 696 108 555 208 294 221 575 450 917 615 537 593 372 376 768 18 691 910 424 654 554 671 925 792 79 91 103 198 728 969 948 580 905 703 270 60 881 541 273 170 764 391 726 35 606 719 695 199 646 626 515 467 197 191 574 818 240 32 697 632 143 107 677 434 759 755 230 932 762 261 754 851 303 14 209 116 219 666 853 862 650 655 319 578 761 604 438 662 899 394 56 516 694 237 379 141 733 102 584 581 927 93 446 950 858 687 282 472 290 287 408 903 15 489 171 109 1000 149 64 781 926 83 887 139 42 311 358 591 392 263 203 189 142 403 670 421 146 517 242 256 978 207 854 657 630 259 164 271 416 310 597 460 43 128 94 27 888 326 922 234 245 466 643 913 873 476 301 57 112 367 850 432 478 838 279 363 842 371 314 902 118 320 293 558 640 297 784 187 68 441 352 419 602 147 481 192 99 190 269 620 777 832 945 120 985 771 571 656 649 787 154 295 617 882 976 278 682 401 182 415 308 377 469 949 281 804 538 229 596 454 990 653 548 46 872 590 999 821 486 452 407 533 720 535 898 464 739 397 126 550 475 418 417 1
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521 270 779 922 965 182 404 543 20 691 646 176 981 88 558 628 339 123 329 729 747 716 127 166 883 732 964 53 490 363 315 509 794 164 114 638 383 446 352 8 393 679 409 392 297 343 153 765 106 185 859 516 61 892 822 584 741 895 234 89 990 39 606 413 717 110 512 471 217 827 527 976 86 58 294 934 853 832 389 763 421 784 546 480 246 519 963 826 396 314 544 645 876 940 132 460 802 163 574 904 331 449 235 28 171 112 203 80 353 454 949 116 562 300 609 624 957 184 781 720 280 783 674 715 688 635 537 529 977 517 496 445 195 56 108 958 871 501 326 809 83 938 698 231 469 27 138 279 47 93 623 426 391 954 670 570 113 893 835 953 346 137 245 642 71 328 771 505 447 227 728 457 275 62 373 930 25 671 431 968 364 453 476 502 433 411 658 750 57 923 128 42 929 34 854 492 985 694 230 425 816 94 889 619 942 15 616 109 46 718 487 368 563 683 317 677 470 287 126 668 812 739 648 879 528 785 833 105 3 773 377 607 898 50 324 318 187 974 271 852 626 196 921 787 928 26 499 21 736 13 983 63 531 461 927 565 550 507 894 367 183 612 154 437 213 382 332 554 465 242 321 208 347 791 829 844 272 875 293 598 919 129 102 103 233 805 995 946 375 514 611 913 856 672 263 316 491 845 669 11 824 548 415 748 673 277 100 842 210 666 38 621 462 119 807 434 405 840 59 681 573 266 569 625 861 704 121 312 982 726 999 322 145 330 972 971 349 975 821 696 378 412 766 191 532 632 498 201 450 636 74 281 786 350 133 873 68 903 64 547 980 239 351 146 535 724 36 455 430 939 432 706 156 969 232 518 815 467 533 215 513 730 493 675 355 912 986 578 680 906 782 31 789 522 962 639 886 803 212 948 825 798 587 697 961 515 19 202 52 345 817 226 984 865 593 752 714 582 837 282 18 713 959 97 591 951 192 756 657 541 877 757 637 810 311 617 712 340 90 30 649 261 269 142 51 577 35 458 620 41 960 118 422 567 66 309 244 994 288 659 174 686 252 416 872 214 869 268 831 327 955 734 429 76 804 743 615 9 687 760 204 874 733 692 385 442 464 996 651 931 551 629 914 135 247 882 448 780 49 466 175 79 652 564 601 495 600 356 943 362 678 540 243 987 709 107 695 155 950 394 650 575 605 472 536 219 738 333 161 70 92 967 503 240 101 395 583 259 188 504 662 585 926 595 381 193 256 335 661 304 459 265 911 725 667 497 475 952 180 408 337 768 305 291 14 424 870 141 237 341 223 320 10 887 54 818 788 67 400 566 401 290 439 556 452 534 660 997 336 746 91 440 149 264 236 5 719 84 796 73 40 173 478 418 376 200 387 479 477 933 937 198 323 647 705 613 111 560 916 838 699 630 966 663 95 443 524 481 371 307 181 308 867 776 745 486 444 136 700 197 731 689 325 29 125 664 836 586 902 721 77 380 936 839 758 72 579 991 693 634 17 762 152 753 359 81 420 988 55 167 482 761 386 6 298 711 917 360 790 847 722 932 130 131 140 851 978 589 710 2 344 205 98 169 813 273 604 160 682 369 775 597 372 4 508 238 104 33 117 228 640 608 855 627 397 848 846 581 190 241 303 979 900 379 172 511 211 423 147 806 525 830 124 500 310 48 561 774 306 251 148 864 319 225 742 366 941 920 555 610 633 735 12 374 168 207 488 973 891 85 860 410 897 545 342 96 520 850 82 388 16 22 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371 937 53 718 581 893 813 918 180 550 760 225 255 141 892 804 736 85 121 252 625 332 851 329 191 745 985 67 987 169 268 110 199 645 648 78 800 957 38 744 95 315 148 133 571 886 547 610 535 563 196 953 941 771 694 667 441 266 277 577 900 809 810 568 127 603 683 515 632 554 991 358 172 343 640 105 902 144 378 730 432 609 45 784 278 748 160 631 509 260 414 628 442 585 452 650 173 633 877 218 178 386 115 394 904 541 539 446 923 384 126 198 664 363 997 806 659 882 459 478 124 410 476 12 264 111 16 117 4 52 948 231 356 793 40 621 605 600 455 795 822 307 562 72 549 57 646 222 634 686 619 297 599 39 751 626 235 701 824 336 905 23 469 513 591 65 494 975 576 534 555 296 994 484 417 890 652 792 870 951 602 271 59 725 607 389 579 543 548 618 829 282 275 262 767 232 868 871 445 979 209 11 608 381 687 339 976 226 898 116 956 365 857 475 404 56 558 606 492 637 187 723 465 691 958 950 360 236 808 828 790 681 305 176 989 990 838 344 93 6 913 657 418 917 150 91 120 798 980 852 373 35 167 753 44 972 375 665 317 653 894 888 981 848 474 977 693 99 261 601 174 630 537 249 651 963 590 319 171 322 742 623 770 42 816 377 46 859 228 835 575 86 122 136 655 253 747 564 943 237 831 3 407 617 749 346 774 340 666 910 186 290 597 557 306 200 55 156 799 716 422 51 796 583 337 717 33 495 746 168 572 843 96 947 323 267 355 996 939 223 598 778 43 658 166 299 775 325 134 405 159 457 447 270 580 63 103 485 982 88 797 700 161 361 366 440 711 880 303 107 192 582 786 500 263 823 930 359 971 396 881 818 132 197 969 861 688 919 945 779 524 921 675 506 926 383 281 367 743 47 420 104 615 629 685 544 551 328 776 733 627 698 69 162 616 519 298 73 684 403 787 661 8 480 613 803 811 310 318 242 791 77 644 100 906 348 769 586 152 391 542 114 204 865 13 912 538 75 302 924 493 807 875 76 89 380 406 588 705 98 922 188 844 756 966 738 274 487 674 817 929 477 123 70 690 392 269 353 483 528 860 712 858 682 139 276 19 737 181 48 450 468 304 959 781 867 773 62 533 680 320 826 491 454 401 735 612 362 669 151 984 978 995 153 215 482 71 762 540 81 805 398 220 569 849 238 428 783 986 128 842 313 352 710 721 20 184 165 311 734 677 794 357 279 899 620 195 49 801 213 522 399 589 559 427 437 498 143 431 41 309 18 234 246 300 244 715 663 754 138 584 326 526 660 64 131 761 157 709 755 106 662 523 211 256 424 827 874 451 853 435 216 382 764 80 292 503 512 916 68 385 925 708 349 118 932 546 119 862 883 780 456 556 479 461 413 108 415 426 369 887 488 230 206 707 453 272 983 942 448 732 960 928 757 802 434 647 933 854 443 265 955 839 335 741 720 587 777 496 293 820 66 624 988 473 510 395 724 251 511 285 411 504 364 239 836 24 954 532 155 833 501 611 676 502 656 782 97 60 567 331 641 713 341 295 351 825 61 32 885 130 531 731 83 643 203 334 217 283 400 273 520 34 758 22 113 201 408 702 561 672 347 330 497 907 920 525 752 92 112 527 507 125 205 14 815 697 873 233 845 397 368 938 354 785 728 518 489 135 409 830 481 129 5 832 471 499 565 463 727 726 639 294 109 834 430 137 993 552 370 696 333 229 350 869 372 82 944 280 679 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0.740469679251 0.182211402417 0.370154367385 0.907833119056 0.155243934177 0.288865166832 0.843458131168 0.181958823711 0.438619964022 0.577117644257 0.915811935676 0.741534202573 0.484460006677 output 1 595 594 437 55 371 341 798 617 296 577 410 434 334 159 1000 353 919 707 671 324 384 101 115 332 578 23 179 265 650 10 178 509 255 905 74 113 195 797 19 571 548 964 432 893 529 955 374 532 378 862 700 369 216 303 3 958 488 17 66 515 405 829 696 698 634 864 876 603 9 859 960 151 280 376 97 58 922 70 205 294 844 124 210 724 702 807 188 382 458 171 112 789 146 970 39 553 591 306 693 729 271 794 237 411 161 918 704 61 287 83 647 543 239 225 259 13 895 289 337 742 810 194 846 585 277 739 254 499 991 530 649 957 848 616 445 474 192 826 627 785 423 736 165 715 286 43 678 901 47 898 330 874 89 389 36 579 999 665 969 719 790 667 540 419 547 556 349 140 926 839 764 111 18 705 633 661 16 34 597 48 177 471 619 128 988 610 537 417 278 33 358 301 425 418 245 60 825 588 145 333 853 430 621 635 338 950 612 563 725 928 56 6 85 107 771 518 765 854 863 769 912 344 908 778 503 697 443 510 557 542 631 875 992 291 601 956 521 870 106 823 821 930 887 372 475 478 686 716 749 486 892 710 199 498 636 214 288 505 519 454 813 915 99 224 182 762 861 620 808 144 459 63 800 953 184 679 64 681 717 843 251 590 455 197 858 391 189 692 772 98 622 897 166 272 217 456 786 200 513 90 213 359 243 139 758 546 342 149 877 924 186 263 685 946 231 290 476 481 575 695 282 339 435 29 868 805 847 849 793 878 323 5 954 421 81 22 569 527 801 911 302 363 485 116 775 684 464 630 982 766 400 361 703 841 65 38 187 935 235 59 32 886 593 860 903 676 544 220 744 663 827 390 493 889 249 987 751 315 350 331 939 690 20 496 401 267 190 365 899 691 770 223 867 711 215 802 482 836 727 880 814 881 208 708 916 904 457 185 554 246 760 203 135 675 662 355 996 150 623 346 415 72 340 629 820 783 452 900 260 176 131 730 497 420 961 632 207 256 909 383 468 311 731 221 279 558 309 567 654 971 44 907 438 508 273 600 752 314 86 30 572 975 709 494 642 366 817 502 436 274 4 608 580 656 728 966 88 837 759 672 300 125 834 489 14 327 776 891 791 947 49 993 574 850 914 500 504 181 317 281 462 520 856 648 838 533 109 651 108 416 963 822 606 211 424 745 147 638 102 31 583 985 831 356 26 448 191 308 524 694 873 658 967 228 753 743 986 429 641 566 27 998 865 643 995 768 68 91 465 555 76 528 351 127 242 624 45 84 882 227 105 613 257 94 602 407 316 54 299 71 75 872 348 948 431 812 792 855 951 587 87 592 169 326 589 451 426 984 180 628 487 244 202 976 564 754 871 387 77 796 644 712 660 484 699 974 402 890 526 929 735 196 584 441 312 980 913 534 395 234 607 701 773 392 21 714 347 989 313 713 944 354 940 611 134 959 253 310 117 811 252 491 560 79 857 536 604 7 973 236 50 122 726 737 57 819 360 888 104 28 439 479 646 815 386 748 325 2 682 562 226 321 977 688 379 270 276 609 852 126 614 373 297 832 779 774 394 460 130 931 549 162 943 782 734 565 258 408 655 640 136 824 293 845 531 375 787 706 511 138 193 53 8 927 687 934 247 983 576 40 830 673 397 406 100 209 82 586 722 539 143 170 501 93 653 721 12 148 463 683 42 264 142 945 598 535 910 884 718 495 816 219 174 95 851 755 472 444 414 625 69 206 283 517 677 156 427 840 422 120 799 788 399 367 123 866 666 329 345 952 968 689 275 777 962 266 248 522 469 738 596 230 119 559 896 990 757 167 835 981 62 183 393 570 262 413 997 809 412 581 158 229 541 942 965 381 978 894 114 450 761 96 746 573 269 470 304 523 467 92 173 385 133 103 979 657 343 480 238 449 869 668 507 902 804 781 680 368 172 320 241 514 335 212 163 740 319 994 285 352 941 442 483 626 261 659 233 767 466 645 763 806 129 923 818 433 364 639 937 322 550 732 164 932 477 388 175 78 118 121 11 473 920 512 141 538 949 921 305 453 582 268 362 879 723 67 618 972 652 733 198 670 307 154 51 551 404 545 153 428 168 833 250 403 525 637 318 232 780 842 298 933 370 885 674 336 80 938 25 784 222 828 357 615 605 492 750 35 440 15 720 292 664 295 795 204 240 377 756 328 284 409 110 906 561 152 568 936 52 218 380 803 506 461 73 155 917 137 925 157 516 741 447 552 599 160 747 446 398 37 46 396 24 883 132 41 201 490 669 1
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146 714 910 115 264 259 131 766 599 392 811 514 877 702 144 625 346 787 631 419 703 450 42 984 304 492 572 143 474 534 727 402 806 362 913 961 84 16 670 873 950 338 548 868 27 233 623 826 793 760 753 555 332 56 667 354 902 549 125 973 895 70 468 918 15 334 888 852 130 418 604 680 431 168 908 556 279 61 640 829 172 573 960 454 274 211 497 365 356 595 705 401 784 225 962 296 160 927 71 752 930 116 639 423 504 613 672 747 799 539 855 94 571 804 275 607 996 459 647 436 370 535 339 543 4 815 237 883 965 74 252 413 976 141 452 118 41 6 832 558 755 194 709 751 638 805 205 757 269 408 20 583 327 978 942 170 448 289 124 952 937 663 824 975 331 167 349 244 446 586 481 633 616 256 311 885 178 9 934 585 746 26 292 506 505 363 204 900 874 920 598 939 673 536 128 923 147 698 792 518 618 410 676 73 112 754 8 966 856 864 24 231 609 684 944 220 782 90 614 282 656 513 771 476 986 293 60 974 956 862 718 526 417 388 216 1000 389 47 780 967 878 687 741 671 662 66 234 657 102 833 949 355 648 367 381 867 23 132 591 582 731 840 463 201 823 886 184 376 553 140 96 992 114 933 309 52 191 742 378 190 483 403 963 720 203 529 919 884 111 719 651 775 537 438 382 226 461 876 881 551 664 892 645 164 699 344 789 491 521 64 611 243 677 802 523 286 848 187 488 827 679 81 444 305 578 617 32 602 429 44 498 105 409 230 769 917 219 323 368 606 412 301 941 240 104 374 479 561 646 357 242 907 283 386 79 587 717 943 320 713 241 998 993 875 835 451 831 221 414 165 222 785 472 807 730 208 817 245 77 82 480 995 182 737 353 333 566 383 315 148 725 619 669 134 649 981 810 932 345 634 48 174 563 736 905 629 103 139 502 229 977 475 2 575 361 40 477 627 38 45 92 198 527 122 197 232 580 424 127 85 173 661 788 603 774 19 17 666 564 632 565 501 326 14 31 532 277 87 89 341 948 137 98 630 724 192 560 554 453 723 750 108 834 700 271 716 994 797 58 729 496 281 449 579 464 665 675 851 113 202 278 260 470 545 697 358 559 28 688 215 375 246 739 106 308 396 18 846 710 694 337 340 186 262 600 377 288 891 169 499 86 801 325 726 590 493 859 701 958 849 860 953 880 181 387 158 964 796 577 467 324 97 171 177 314 447 791 576 924 306 107 847 745 530 151 589 654 329 239 285 258 743 458 921 495 988 858 342 394 91 272 25 903 380 635 218 460 72 758 738 5 371 887 432 691 462 276 959 385 300 744 145 95 816 76 972 65 866 54 159 411 399 366 236 715 971 668 997 914 193 393 154 748 820 330 773 696 911 610 254 734 422 224 945 455 605 510 489 199 249 728 426 238 594 658 808 120 850 416 689 175 421 516 456 517 223 248 721 430 842 53 435 822 643 83 685 49 185 626 99 990 298 991 273 912 612 567 650 982 740 395 149 524 652 428 310 722 150 442 494 897 427 901 62 765 379 503 899 267 735 706 465 162 284 733 762 485 507 936 390 865 263 708 955 373 441 922 947 879 359 783 439 207 46 188 7 531 50 653 778 322 987 29 142 522 369 621 217 925 179 970 951 473 247 457 265 117 39 821 681 825 969 642 10 845 109 636 550 786 763 397 854 568 287 126 13 562 803 471 863 180 809 161 93 88 707 478 155 37 200 841 601 508 437 547 660 544 302 129 110 686 214 843 814 213 819 101 328 538 251 767 384 890 683 588 319 209 153 210 622 297 546 511 351 552 983 838 828 711 931 839 893 405 813 776 896 615 871 336 690 1
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488 992 967 698 776 949 24 726 748 515 473 40 147 225 582 107 219 533 922 514 17 95 130 605 593 731 76 96 905 802 950 554 737 830 652 793 220 199 429 513 206 455 712 966 244 953 111 505 4 970 179 586 693 271 26 461 821 543 231 213 724 706 783 623 719 336 318 615 378 393 816 361 959 176 90 660 787 344 228 812 235 210 467 541 857 560 794 837 779 170 303 333 491 937 838 166 537 345 682 547 246 920 807 94 687 955 910 75 144 861 680 413 116 72 443 581 716 38 602 773 675 951 899 996 792 280 269 454 573 839 746 523 326 637 364 796 976 907 35 319 761 585 797 695 215 701 529 290 233 524 224 177 564 530 167 814 990 589 267 973 132 993 245 791 500 82 134 73 349 819 121 285 59 708 202 738 278 757 223 895 56 852 841 92 765 325 146 646 103 232 135 607 671 68 799 551 209 755 558 359 466 732 431 409 599 373 422 954 250 34 519 908 885 253 900 961 743 322 58 735 897 763 291 15 881 184 247 575 28 545 878 499 47 565 174 63 527 983 725 750 594 898 453 218 714 138 385 381 512 302 141 987 368 164 100 504 917 927 191 486 501 299 284 268 255 495 928 625 366 723 882 468 69 572 384 240 507 375 774 464 65 778 434 935 189 85 559 704 133 155 221 123 239 420 459 421 456 243 236 681 979 906 591 813 125 410 352 651 249 89 296 161 929 194 628 427 800 45 483 337 187 924 697 535 871 13 947 566 939 272 679 855 379 893 376 831 710 30 785 943 843 915 370 863 308 999 902 211 930 437 98 618 914 904 39 977 683 789 668 965 620 972 274 835 48 502 154 715 642 912 377 217 815 7 316 510 889 362 617 264 320 578 647 156 958 277 288 185 44 137 944 293 115 571 383 600 110 721 557 775 940 131 850 809 173 767 772 101 608 86 516 262 711 406 394 964 252 665 286 592 327 568 105 811 478 122 963 932 108 874 780 798 21 242 227 745 297 654 520 836 919 151 766 84 182 22 399 663 142 365 840 890 462 405 730 536 372 550 601 649 648 579 439 416 460 190 150 587 408 153 727 451 104 342 306 734 888 986 784 655 360 604 475 279 332 315 426 118 157 540 257 417 820 580 713 259 356 317 539 759 577 149 988 795 622 531 610 866 234 458 275 55 597 661 183 357 556 684 42 354 641 658 522 998 694 222 860 692 258 672 329 636 561 418 27 334 822 511 883 449 769 801 254 2 563 25 851 472 644 997 62 386 298 753 192 832 197 314 311 978 160 903 709 208 873 609 289 756 341 548 722 606 127 639 528 487 106 369 273 152 112 203 186 945 685 398 870 230 407 46 616 477 346 158 205 440 640 348 588 119 77 445 335 49 430 390 742 938 980 387 754 425 23 638 916 891 389 896 741 474 323 925 216 93 448 251 532 853 876 936 1000 771 404 555 113 833 10 506 751 181 884 313 414 469 165 664 175 476 391 471 304 703 452 19 301 143 806 70 83 358 481 611 102 480 643 948 702 403 283 749 300 934 145 241 444 482 969 627 834 630 989 957 909 868 781 631 728 32 295 995 196 892 12 129 305 163 849 201 975 67 465 962 79 432 508 396 653 339 498 229 438 324 752 862 817 248 50 562 971 415 517 747 526 88 994 309 350 913 207 3 662 99 148 686 457 677 570 171 632 678 790 968 87 538 810 294 613 392 626 542 739 518 848 292 347 595 918 435 982 676 880 282 11 57 823 388 864 80 707 330 212 782 777 382 598 169 463 718 509 159 497 624 447 844 353 428 91 770 670 436 117 552 441 64 634 805 1
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204 295 233 160 807 799 346 378 930 543 112 853 896 73 978 87 105 769 418 156 549 537 516 265 619 427 620 35 869 317 90 851 97 262 239 716 501 7 593 409 673 517 437 433 588 885 525 727 333 929 563 314 847 477 229 238 320 460 360 222 888 935 954 959 331 199 89 19 326 779 746 860 816 403 476 846 842 968 31 638 253 143 669 890 942 490 707 496 740 938 937 975 912 641 77 710 696 336 994 917 876 654 548 307 728 175 386 402 467 219 856 739 698 524 275 497 30 119 511 723 235 78 519 318 45 258 370 443 916 174 918 277 390 417 520 748 806 311 704 795 598 900 365 635 679 873 92 127 456 771 76 208 412 800 337 290 801 356 340 452 586 829 163 998 719 870 252 997 570 905 651 371 640 776 115 272 271 797 488 231 623 213 483 913 556 725 724 889 196 75 580 106 444 733 25 844 946 783 284 267 421 726 703 756 225 510 449 632 891 215 100 686 809 223 863 768 749 941 919 27 670 220 429 662 914 202 227 621 21 507 281 786 964 835 758 872 406 945 909 464 559 554 732 649 33 94 818 383 146 805 624 171 324 763 260 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872 583 405 989 565 670 883 983 518 207 422 611 48 826 980 781 833 722 925 802 2 258 391 400 677 309 604 541 343 217 193 224 219 928 603 535 900 954 390 216 245 969 482 129 256 62 300 683 21 130 755 173 849 25 596 538 877 269 949 656 288 6 514 8 285 839 15 389 497 177 840 121 475 600 218 671 674 843 315 47 704 981 662 635 398 355 906 162 382 377 423 383 113 775 39 201 453 477 278 984 179 948 733 686 495 753 901 695 7 346 271 329 325 80 450 844 144 227 658 516 154 506 411 36 494 934 730 621 452 101 707 471 754 988 758 114 85 776 334 323 599 392 581 375 142 743 850 469 751 537 467 182 932 253 303 430 167 304 801 432 226 13 585 978 623 676 379 851 876 680 908 782 484 740 292 501 1000 331 244 527 11 427 663 799 340 431 109 396 938 569 380 748 804 860 524 210 971 769 521 107 554 668 464 5 562 24 270 815 184 793 566 246 778 55 837 652 212 666 657 211 124 654 744 60 530 588 991 223 996 620 821 689 32 252 627 773 610 631 321 314 643 638 12 73 895 609 71 545 873 56 543 613 959 251 936 797 230 46 412 426 993 163 777 768 892 922 143 171 528 866 633 76 493 26 579 836 885 399 503 310 100 615 515 456 348 729 571 99 641 563 523 661 350 520 529 446 413 697 570 713 4 472 440 973 132 168 766 22 214 868 49 93 648 789 589 504 241 181 235 682 684 31 809 500 341 681 856 409 283 266 771 272 336 819 319 267 732 963 700 862 306 750 915 619 149 248 479 513 367 965 798 720 918 420 175 459 152 386 582 800 749 59 10 233 40 979 692 359 404 295 622 185 220 921 67 128 805 923 298 693 466 630 724 909 104 208 221 699 548 448 881 275 806 498 441 460 933 505 86 706 907 276 254 97 822 803 669 28 580 352 975 924 870 68 239 842 605 170 711 357 977 360 16 147 240 447 338 284 468 33 358 995 134 176 23 886 461 299 536 105 930 406 734 511 688 489 72 53 191 421 148 116 509 88 725 491 845 889 457 888 878 378 204 368 326 961 308 437 672 982 508 967 312 786 788 333 313 268 473 353 164 408 945 27 126 964 814 994 796 187 238 496 43 174 14 465 499 970 708 77 721 361 146 94 351 363 942 35 50 17 510 731 999 824 903 115 847 690 557 577 811 546 415 483 95 463 914 572 103 257 703 784 180 166 29 568 502 339 119 84 817 449 96 52 301 747 939 237 322 81 992 787 752 394 158 255 607 273 429 926 756 58 792 127 137 133 759 75 639 416 955 74 617 395 462 828 401 950 65 117 710 82 287 311 742 57 79 451 330 696 831 159 480 586 186 444 478 178 940 726 407 879 608 544 719 397 827 891 997 234 525 957 614 694 366 712 647 946 69 222 442 9 594 664 517 381 937 526 337 765 875 931 861 887 976 282 281 974 436 291 650 37 262 388 87 741 673 625 425 414 591 443 884 108 61 835 960 172 871 51 739 169 896 929 935 507 419 917 209 318 123 701 944 89 373 242 531 196 795 305 738 927 898 402 549 560 157 3 624 761 539 145 735 865 374 434 540 199 481 912 342 206 335 92 289 20 659 943 345 150 823 135 869 189 438 439 855 279 111 858 297 370 41 38 512 369 192 899 737 808 533 372 202 165 597 249 45 332 854 820 813 18 470 64 198 492 559 859 616 785 575 63 736 718 838 188 794 592 183 286 894 790 612 550 118 746 243 764 857 140 417 445 723 328 232 261 691 139 229 913 418 783 376 200 576 705 349 968 356 893 595 532 354 649 260 830 327 30 250 364 203 1
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334 630 223 474 938 936 324 241 995 346 710 182 325 668 823 79 569 143 756 298 985 264 499 90 395 775 345 761 340 501 837 116 349 721 114 969 95 491 113 10 39 430 135 928 697 618 650 565 955 540 307 878 338 175 867 750 972 833 980 859 253 475 375 312 731 42 362 518 186 644 805 466 393 450 217 329 718 727 981 236 84 568 437 76 977 481 852 783 698 455 29 397 347 45 148 184 956 73 38 975 401 57 877 814 596 313 725 541 711 99 279 701 126 870 372 735 67 748 881 879 360 141 155 289 872 416 105 841 647 880 517 33 242 733 680 98 399 649 795 952 71 51 452 635 800 96 999 941 619 66 229 865 931 942 108 238 304 424 31 187 350 214 2 811 892 496 779 261 153 291 209 472 896 543 636 82 405 189 998 371 326 907 410 946 111 461 367 115 265 888 193 744 810 303 93 889 290 306 739 436 451 624 278 770 200 154 755 37 225 807 373 117 384 156 831 213 706 916 119 720 206 407 664 127 138 179 535 990 7 203 494 842 52 910 198 140 576 188 634 247 453 617 258 528 868 239 862 357 177 835 5 106 648 825 983 672 221 546 621 178 611 643 586 826 369 295 902 526 352 240 218 690 751 244 56 351 610 331 245 484 987 940 927 283 598 871 738 758 228 377 519 103 243 595 948 817 802 708 571 486 336 676 963 771 682 514 824 997 256 92 512 631 207 659 743 806 581 563 829 967 849 836 359 863 665 893 363 275 813 900 354 70 409 8 584 843 845 767 485 190 301 555 793 716 4 639 361 394 730 259 801 299 25 667 197 908 603 781 693 597 633 544 305 137 691 268 689 19 387 3 226 142 944 808 27 176 769 30 994 742 344 882 458 64 498 271 482 854 782 971 522 23 798 133 745 18 368 85 109 463 263 594 420 323 876 195 174 219 192 523 917 267 959 704 531 671 41 566 794 780 478 487 385 949 953 332 978 412 234 460 965 124 943 314 48 728 838 68 670 527 580 63 500 441 657 248 573 102 183 309 557 50 91 685 692 237 233 342 897 398 655 740 302 874 411 561 901 24 567 118 786 21 292 559 502 593 72 709 162 705 355 97 341 277 684 521 49 426 408 812 15 166 804 492 150 255 17 678 343 732 591 160 660 642 212 327 832 317 904 834 281 839 909 820 658 220 982 493 419 201 669 308 777 951 376 78 939 379 578 147 167 601 59 287 477 790 433 210 428 547 574 749 159 714 903 511 663 432 674 552 614 736 11 616 604 185 645 699 6 489 773 171 629 479 988 196 94 164 957 652 651 707 163 932 787 508 506 47 542 139 257 681 818 560 515 827 858 974 856 752 439 993 933 337 935 637 746 415 199 677 310 884 389 386 404 286 754 215 53 579 161 894 55 947 112 713 828 613 456 9 762 335 328 20 383 989 554 488 274 44 926 381 962 348 14 22 445 913 774 333 311 513 532 575 564 322 130 869 418 847 620 216 966 273 448 414 380 553 146 34 763 425 80 883 413 464 538 58 145 661 172 607 970 599 446 764 702 288 996 144 252 282 503 272 136 712 741 81 285 886 626 803 968 16 524 382 123 615 435 152 194 638 490 104 46 729 125 533 891 529 857 427 134 864 222 497 181 469 860 438 577 545 821 495 976 262 36 784 799 444 683 149 35 765 734 855 476 390 366 129 100 895 449 365 924 525 296 673 388 583 921 919 719 853 715 539 612 483 918 945 232 364 121 12 191 54 158 646 202 815 260 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190 579 808 864 482 791 316 691 885 47 746 463 383 160 887 556 622 638 120 668 884 976 515 667 782 626 388 92 395 947 432 476 683 745 488 766 568 484 153 717 697 246 100 64 119 218 164 977 128 137 741 295 499 542 841 705 862 183 381 114 414 445 876 561 462 334 895 405 552 180 652 63 425 998 618 86 154 511 135 409 73 332 52 875 908 313 520 48 877 529 158 639 517 597 630 289 363 922 679 829 504 934 573 991 729 441 222 962 6 640 727 412 255 660 438 487 663 113 359 812 798 90 426 806 276 403 431 271 854 305 437 771 298 37 280 544 355 78 788 60 232 53 252 755 738 436 700 331 329 140 22 596 899 851 612 318 219 931 167 205 151 642 18 266 521 231 20 941 275 322 88 684 421 585 992 785 897 35 459 972 2 159 230 44 299 554 325 392 787 258 42 695 242 278 836 406 485 402 228 849 907 493 419 776 575 453 58 960 27 310 370 490 611 722 333 847 50 673 865 115 587 81 189 89 613 384 882 423 873 624 932 401 371 157 965 676 610 923 954 360 927 842 117 650 704 182 696 523 156 948 653 702 539 212 803 904 550 23 602 835 731 526 440 221 712 272 538 413 368 448 619 883 874 689 239 950 455 265 399 418 194 45 769 352 300 952 627 203 4 293 25 66 178 721 936 833 241 940 274 306 267 949 307 698 184 805 366 832 469 400 486 111 866 420 473 911 330 240 3 533 503 682 867 548 391 984 501 535 77 451 783 890 996 347 338 969 141 396 337 648 249 339 858 197 677 7 282 707 615 442 243 827 868 217 491 641 930 802 672 657 434 416 811 17 604 428 739 810 762 389 531 110 903 196 999 528 213 161 580 795 49 800 574 609 732 709 29 283 780 430 625 605 686 36 435 142 530 390 852 76 758 291 69 204 427 358 920 353 728 377 288 5 94 429 55 108 881 726 348 749 871 510 202 464 324 163 292 813 143 449 264 737 924 75 757 236 513 909 106 59 181 838 983 541 916 270 567 277 215 362 607 754 814 688 357 742 195 988 990 109 206 799 121 595 778 817 447 759 730 581 725 822 566 165 262 497 233 191 259 461 465 748 796 643 466 268 95 694 398 380 394 518 955 185 671 470 913 343 312 227 546 372 263 211 971 21 169 238 170 905 273 675 433 340 961 753 744 495 848 703 244 134 964 888 685 764 83 460 294 804 474 98 304 397 767 790 475 956 987 93 547 840 328 674 56 553 122 43 594 635 327 878 99 30 859 136 393 496 937 32 631 621 736 458 588 557 385 914 444 285 928 591 422 96 287 708 522 763 349 457 713 309 716 830 79 608 786 193 801 65 31 880 468 320 527 583 915 235 51 281 139 889 863 860 226 784 892 187 302 599 210 209 125 893 290 715 131 586 417 633 826 570 350 33 900 253 623 260 929 551 818 693 807 777 387 532 374 894 747 456 857 939 256 655 600 201 534 365 524 129 938 104 508 15 537 843 942 656 963 993 576 146 714 61 14 471 861 492 149 723 774 410 326 71 958 364 760 245 344 740 192 247 176 995 578 644 844 563 335 489 975 869 38 944 870 779 479 439 297 846 555 375 943 945 525 781 662 659 853 645 507 105 819 926 494 87 773 902 797 509 617 72 901 664 687 123 981 565 896 910 502 505 831 601 323 10 303 584 646 536 424 765 837 500 816 361 666 74 481 616 376 28 519 311 321 793 54 582 173 792 710 733 446 828 711 214 647 681 220 562 107 248 912 921 407 543 834 935 632 628 102 314 970 768 968 979 145 225 706 39 472 1
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989 769 501 352 292 493 917 420 23 709 611 357 993 59 70 178 674 285 120 377 968 879 369 676 856 134 37 752 438 293 291 274 90 358 373 74 477 116 978 368 955 264 610 757 245 943 716 16 51 962 928 125 896 397 235 9 687 76 504 666 361 252 32 816 279 467 570 179 708 131 643 596 80 98 564 158 347 539 262 294 233 269 389 305 772 903 20 75 287 771 95 403 815 205 797 122 594 194 613 802 623 117 142 204 966 319 907 807 191 97 166 658 413 524 480 408 139 902 102 601 621 789 443 552 314 730 575 419 186 898 281 304 330 343 318 844 635 300 766 173 871 227 54 409 924 840 390 651 791 942 664 141 110 964 381 321 199 801 746 626 743 296 412 239 14 53 220 959 804 858 159 615 857 853 201 217 224 692 410 846 1000 975 667 869 406 812 432 677 990 153 401 763 384 901 491 934 682 172 522 302 650 379 439 919 523 241 547 985 211 976 602 810 620 463 18 68 378 521 91 540 323 561 725 225 604 238 209 723 526 494 929 231 33 193 529 449 506 936 818 450 154 35 286 920 530 893 3 424 915 992 819 61 991 311 422 817 315 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79 630 397 679 191 800 443 207 124 590 489 199 93 371 52 614 676 73 616 603 173 845 82 818 406 974 231 965 332 776 269 463 550 745 14 359 653 291 682 933 671 532 535 626 578 580 147 279 449 624 200 59 700 197 165 811 771 389 398 708 245 992 716 930 171 53 584 685 898 844 433 102 12 880 742 893 631 326 240 519 842 281 25 571 594 421 807 188 991 863 221 531 827 884 964 28 242 938 361 681 85 468 753 763 718 407 35 835 69 726 945 448 547 598 504 796 427 957 560 496 764 409 450 689 215 494 474 707 106 831 157 575 160 369 189 909 155 534 697 732 262 127 782 226 493 146 158 786 294 478 988 829 451 299 229 667 889 150 136 553 688 213 162 758 791 284 906 13 886 415 812 142 232 901 921 976 88 103 313 134 779 235 815 787 373 928 946 793 154 464 875 151 372 619 253 99 634 211 586 661 830 640 296 490 472 471 649 331 953 47 981 276 874 403 426 802 487 75 862 323 16 770 462 606 774 853 940 602 362 837 302 551 194 343 379 596 325 769 65 885 926 509 198 502 870 206 413 887 918 548 546 97 967 43 570 23 672 914 642 177 663 780 33 358 836 801 319 252 306 148 169 394 794 979 848 247 607 748 348 569 866 868 11 104 56 609 733 695 790 256 328 41 466 180 523 871 612 539 756 175 212 912 419 49 864 859 327 357 340 911 762 515 283 461 878 725 243 280 288 19 920 435 250 457 305 709 355 936 118 530 877 354 264 699 834 891 225 987 201 522 196 621 542 123 18 947 78 178 799 220 92 37 125 998 153 181 541 310 485 828 204 432 174 890 382 216 67 691 675 854 629 255 514 193 881 329 172 270 838 563 94 404 236 693 330 657 643 556 60 309 501 458 61 879 820 337 579 46 701 996 115 861 383 680 412 978 498 139 942 692 336 491 408 364 80 717 479 971 982 525 555 617 899 274 239 939 275 505 994 955 434 289 8 574 567 620 654 317 804 400 678 96 808 346 565 209 527 217 135 622 524 949 664 395 618 378 265 439 908 754 481 761 952 856 894 26 715 711 344 959 30 919 230 497 739 950 21 632 38 339 304 333 401 895 219 438 375 521 948 860 855 934 27 593 388 31 572 597 453 186 81 164 759 910 297 588 867 999 10 615 261 923 792 529 772 941 841 385 254 557 149 506 916 944 58 847 456 192 176 410 990 185 599 210 233 608 817 286 508 552 126 335 670 224 128 883 492 258 858 170 937 917 785 414 721 915 857 781 540 573 900 22 656 117 882 365 442 122 600 423 610 907 391 484 927 277 338 746 377 7 931 298 131 130 486 380 367 985 683 129 467 159 789 120 972 184 476 77 704 751 641 750 316 483 20 5 460 986 34 665 89 374 334 143 429 195 71 341 203 390 738 843 205 353 113 684 816 416 107 109 51 690 714 393 592 823 161 257 266 465 633 520 322 475 888 737 749 90 36 303 119 518 722 850 351 392 536 271 480 652 777 454 251 558 956 91 238 105 935 528 396 100 163 730 517 638 687 655 545 904 452 958 587 993 511 381 674 549 417 273 705 849 595 62 145 267 778 387 321 222 246 559 568 263 64 625 440 736 430 84 744 765 50 293 48 561 495 752 706 710 179 775 623 768 543 347 929 469 282 39 977 63 604 87 470 307 399 76 554 577 455 544 943 259 980 951 214 840 459 805 605 767 783 566 437 673 108 166 833 137 66 757 42 966 968 183 386 278 445 95 349 658 110 533 822 54 167 248 510 989 314 873 651 133 760 735 285 696 924 368 187 984 363 376 613 444 516 431 932 324 702 1
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0.507502092095 0.871673360625 0.814501336473 0.373904272712 0.272474897486 0.966506307018 0.86559848621 0.927982876697 0.728790442464 0.46868332969 0.815423317519 0.676111317743 0.851045769619 0.996431064578 0.104188744658 0.513570356303 0.265725190698 0.128250094594 0.377607557752 0.627388863572 0.473332790057 0.930563786407 0.800973499689 0.517797713283 0.624969842245 0.447939350346 0.309083279259 0.721336910742 0.488718376983 0.844920461692 0.741351528558 0.922653868903 0.133247005262 0.219694674273 0.345182645136 0.219542561844 0.934466201297 0.0992742887338 0.640164938582 0.337086411555 0.685391700032 0.354945777976 0.823839654154 0.385506223049 0.480888970121 0.780792764128 0.0902801318487 0.135372614745 0.862411437974 0.173305374568 0.449110512466 0.0708108779187 0.257857649981 0.784708943622 0.889628491162 0.11789872069 0.577031302683 0.771966520109 0.849099014842 0.626647529086 0.59722706817 0.0807048936345 0.879460278483 0.543264634314 0.366086616693 0.867137815729 0.120679255679 0.866926519168 0.663590090676 0.270416934726 0.604945334398 0.790925582034 0.587343311156 0.114958713432 0.859610464075 0.646834058044 0.389073114382 0.584218217215 0.894243236586 0.642658033218 0.163954070239 0.297904834852 0.911977613266 0.165667495239 0.137206216594 0.73157023099 0.0891160950372 0.37710127603 0.265786993544 0.930181414299 0.410881004724 0.6652827557 0.992683279866 0.399893308681 0.772472209321 0.0429125967699 0.105053288406 0.705939778022 0.320804383844 0.0527695172206 0.780088712928 0.313813969958 0.531295143558 0.0125572661927 0.476451054743 0.222622127693 0.321377195915 0.169415347697 0.81352718468 0.544810561505 0.30084540266 0.387125078952 0.622817254468 0.401668258118 0.755016124748 0.647232086766 0.798852612454 0.586253925623 0.294773341502 0.60479539133 0.882317178653 0.394197585528 0.509903250895 0.698236470547 0.00131293900002 0.870611538917 0.0481967870723 0.847654340097 0.608686778602 0.0255845941265 0.283025508633 0.607778885268 0.306825150333 0.370328368359 0.414028753314 0.372350506526 0.196266299264 0.214988126661 0.10595982777 0.0154904498832 0.516666097326 0.921468719625 0.329042288824 0.0259352985146 0.376149888122 0.226093140196 0.453439151253 0.938380256534 0.974713538619 0.647213407459 0.941352177894 0.0357127276014 0.544823726532 0.3464639044 0.69878031732 0.088380721337 0.0455257581863 0.117819653206 0.514376194241 0.880121492508 0.597989486151 0.971722010333 0.111730684073 0.62220178854 0.275937438097 0.405232520566 0.785546909319 0.859231862567 0.0945962725388 0.133355315098 0.792707103924 0.377541104845 0.351715872557 0.143654559741 0.0521307940573 0.59682239945 0.604315934801 0.91073782015 0.389278596256 0.945346823025 0.592671077819 0.254777569914 0.337737062679 0.823911802893 0.14555549828 0.433985662353 0.296027295446 0.275998758592 0.338273972993 0.394715607734 0.218874390604 0.924773416381 0.831788921473 0.671248257928 0.658882680486 0.343144922306 0.0943941318004 0.215621402753 0.315337387588 0.31319117058 0.192677854553 0.251114377737 0.120620495509 0.411452504513 0.803754933113 0.647630585637 0.265535154521 0.840571647716 0.471126038004 0.879678804789 0.166103925719 0.209955190376 0.576020206707 0.665844556448 0.167222174227 0.162153762693 0.368705190628 0.0141029372699 0.417143362013 0.72859726762 0.479208506117 0.636797886919 0.183879123872 0.918652081675 0.474417683714 0.755413603122 0.153562997917 0.840197557732 0.72527794706 0.806718349876 0.370085276935 0.77802292025 0.564913089945 0.246896878551 0.738969899324 0.371522592773 0.0552530899981 0.623231033922 0.820218904441 0.187752263375 0.0710343667601 0.42856757925 0.243020473268 0.484095556409 0.393969800827 0.729947260373 0.829444202474 0.650592907598 0.285257618488 0.392556932174 0.948859067708 0.444205597489 0.498881047164 0.148292925109 0.829925197854 0.629161347524 0.708845895212 0.549040222811 0.861302363793 0.43718443703 0.0664109305709 0.272356340675 0.0394311596393 0.91877930003 0.262315725918 0.280808640876 0.262517112032 0.610079197038 0.129985559037 0.0078938962631 0.677305800815 0.260087771263 0.483341206298 0.73249088063 0.55443587878 0.628090024262 0.5964373533 0.817289055415 0.17993907642 0.795816588067 0.293250495512 0.00735745958235 0.695440894275 0.328226255306 0.491480631699 0.797632389442 0.785700711002 0.358226394104 0.254375106383 0.567840262185 0.351623169474 0.694311970672 0.0320245855809 0.204236673106 0.558657439023 0.39714133386 0.606008508769 0.835509632332 0.228441633416 0.430775477375 0.170507881448 0.902104503489 0.9427174323 0.805101205481 0.610798692032 0.381048499151 0.603528538447 0.917065445408 0.0995003724293 0.195243239193 0.944763317425 0.719072343349 0.381651145501 0.197651339612 0.170945750203 0.98006646421 0.999942752001 0.997206414512 0.726004969476 0.171558811669 0.626541686124 0.534128196397 0.857797690977 0.445262740842 0.965345705709 0.0804170767534 0.755750200815 0.72948189977 0.487488949443 0.326640459009 0.248920705715 0.172184670492 0.120012261905 0.703953567241 0.328481626452 0.894673168692 0.44413729883 0.967681584753 0.109121948846 0.534953633456 0.435343481833 0.738536606024 0.94169373812 0.0833681580308 0.735237433533 0.703036878511 0.486153247655 0.181581058666 0.293942490356 0.701479610852 0.522237617099 0.856116506089 0.876869873474 0.512533290139 0.0287702833641 0.193830073926 0.880609697519 0.564295627127 0.270524845486 0.552973249728 0.329872394074 0.171373153657 0.269178836664 0.607699824104 0.756043546503 0.864173125518 0.334493236142 0.0652872713465 0.181209657469 0.63925727834 0.516872333579 0.739754049729 0.3254556054 0.952652791 0.931361274533 0.577254370703 0.533939255669 0.109675608618 0.117289726258 0.975106028559 0.992547953281 0.140882566465 0.430519666722 0.920174761089 0.0466912372823 0.564435596933 0.334945540703 0.845132488837 0.951405709708 0.343178353563 0.945104130074 0.632635050504 0.257549541024 0.769500530672 0.262480944094 0.134817943641 0.776650849766 0.640169441523 0.235450349956 0.312743758367 0.9773670169 0.370712984741 0.064649469073 0.68608530621 0.772475144178 0.505741415304 0.304513969625 0.877609365834 0.306296365798 0.715337936753 0.304321271266 0.800647887135 0.457387992792 0.229304031748 0.710062918095 0.259796523838 0.113189713112 0.249027246292 0.374341997667 0.576625156672 0.996287223582 0.862926135508 0.789879272034 0.66718383912 0.981383645925 0.193901831047 0.892895042226 0.503365367711 0.0319532093453 0.865438951263 0.680196482982 0.64983981958 0.139864358326 0.934912406939 0.30946207221 0.164180616723 0.51577584698 0.0827970690089 0.965282203934 0.0377356234601 0.000914432485441 0.999389178052 0.994313101474 0.424463593081 0.62725039439 0.725261441403 0.281243247985 0.923292736372 0.453038645134 0.0668499770894 0.24353194135 0.467282245121 0.860621833374 0.0496635164344 0.390943091335 0.297907425305 0.244805919304 0.807576398843 0.250345198659 0.142431170803 0.214566492033 0.82198653322 0.917497375173 0.523817610631 0.683215725037 0.506771071362 0.0784049150412 0.0575994118711 0.74359044488 0.328373723391 0.585317714451 0.572861615622 0.847430907236 0.764171148746 0.228842593812 0.0218830069246 0.965132645834 0.692604934083 0.421016949387 0.874769795755 0.65550586433 0.972717204139 0.0644651202236 0.382407707232 0.964671338541 0.922179944758 0.546772852718 0.813061110651 0.534571001331 0.200443370868 0.0724220142615 0.739548411951 0.758990072483 0.0620752376598 0.29522135548 0.78912426381 0.517972885118 0.918674109318 0.472308317565 0.429043019151 0.0590528557889 0.120460441299 0.439232045993 0.0483633322377 0.0553287681126 0.839233778515 0.516274287138 0.098223953181 0.815524386103 0.744483419787 0.0877928948212 0.380317676335 0.973679623563 0.723940811749 0.392026542877 0.7929111747 0.340140493327 0.812568066793 0.209499788816 0.818432441485 0.0118936787275 0.396016940815 0.619368751038 0.480535194838 0.644151786375 0.0871925544408 0.0674701543007 0.955955380174 0.316698667084 0.391286918794 0.251658837299 0.507753849032 0.0243158594265 0.587691088337 0.494140493623 0.291488142326 0.230608471387 0.727364810734 0.19556752112 0.730679435984 0.326538133345 0.886189606997 0.515855544354 0.923330489423 0.960635978585 0.891262688832 0.0622309642438 0.34156388871 0.800367337879 0.947318428048 0.869989411835 0.876824713415 0.217254035604 0.15013260802 0.594277862178 0.985767686577 0.850827095614 0.525734750505 0.840628461648 0.332776230185 0.275165111565 0.12388890917 0.816291475109 0.503076265225 0.149747098441 0.0974577002077 0.84812909798 0.805983073853 0.21791116862 0.972512122285 0.810417364843 0.972905762718 0.596466070271 0.588284813213 0.713013461332 0.526748794361 0.517656824162 0.477084312261 0.577983339169 0.997142491226 0.341181350964 0.405499646183 0.649066710415 0.0757870728197 0.0109794171616 0.267313501666 0.216862991894 0.493009628484 0.49048884698 0.259172729494 0.56326328351 0.406400016918 0.162785332443 0.787977090105 0.421219645884 0.306676693681 0.787952564816 0.80798503611 0.763112866187 0.997584022051 0.406522724729 0.914218834258 0.915616674596 0.196544573879 0.651931797051 0.593010171057 0.175785570771 0.786182792502 0.158971259355 0.438921652921 0.448789758983 output 1 281 138 795 963 923 828 9 161 181 988 149 85 78 852 505 481 374 280 861 93 737 458 36 925 429 360 463 269 231 884 611 23 958 416 773 250 471 987 358 915 233 322 626 175 947 667 743 236 514 339 451 356 879 331 572 637 72 343 920 721 372 610 249 760 3 283 91 515 540 767 437 259 804 295 530 59 922 182 491 103 35 942 130 490 399 876 869 104 803 704 678 483 609 132 886 641 946 268 19 68 125 774 369 642 519 558 747 765 305 254 771 478 84 184 612 256 38 573 355 687 830 836 400 57 353 95 328 745 564 150 929 417 858 867 362 224 248 293 893 780 135 470 749 171 822 440 976 553 949 70 197 168 170 100 154 13 686 330 657 933 304 619 550 726 89 978 235 732 719 139 28 232 255 396 914 671 218 24 850 127 713 230 685 428 81 679 569 908 873 176 264 681 643 432 622 548 489 320 55 46 294 736 644 359 579 895 890 92 591 568 539 253 951 937 497 663 857 187 144 27 122 694 614 375 905 65 469 625 741 907 296 770 528 109 398 234 105 258 866 153 427 407 557 635 646 648 301 151 225 145 926 584 159 16 433 722 449 442 245 547 575 889 413 492 395 517 846 996 475 967 769 885 853 916 217 368 882 537 277 207 272 54 698 973 980 706 791 970 655 108 473 693 871 64 450 166 32 724 673 653 818 897 552 261 485 606 877 315 397 83 532 454 21 14 327 982 823 69 11 792 365 670 73 662 88 783 725 833 167 595 448 156 880 271 63 683 316 312 883 695 431 962 587 607 495 634 705 682 347 274 123 402 578 805 318 859 384 709 675 351 868 561 870 832 621 403 811 731 325 344 496 847 321 401 759 775 488 453 935 729 910 476 660 419 341 155 172 300 203 162 941 536 838 994 62 474 507 243 504 809 710 906 593 90 696 50 549 669 223 688 699 414 220 854 628 567 87 152 424 599 981 613 785 544 174 658 938 82 180 42 807 944 919 378 863 134 565 133 212 649 799 303 948 29 39 966 386 502 298 939 317 137 943 2 48 901 992 239 53 160 499 810 953 513 617 185 373 835 206 924 979 954 844 202 45 518 878 899 506 56 30 183 827 486 912 409 959 292 345 157 680 766 672 585 461 784 740 163 995 338 26 985 205 436 22 411 131 308 191 864 776 15 702 126 936 106 526 240 551 887 615 96 758 968 430 849 173 711 114 265 237 971 566 379 800 194 728 311 779 605 534 193 357 787 535 834 426 999 808 86 388 738 950 47 286 282 718 61 102 10 276 955 472 757 841 349 314 684 129 543 911 387 829 288 52 998 290 806 735 244 802 158 964 361 932 674 94 226 211 892 633 918 690 900 965 881 43 31 333 851 952 128 381 601 71 659 934 110 733 111 651 392 862 744 456 198 142 597 819 798 891 894 60 509 415 618 97 20 777 761 754 630 406 592 874 484 466 246 703 267 12 376 257 33 816 4 468 121 508 788 708 348 676 781 570 762 118 227 200 717 493 177 821 383 44 273 1000 596 631 524 408 120 817 340 418 898 750 262 367 188 455 875 888 840 464 394 370 727 380 291 511 562 664 423 441 17 636 865 77 112 989 307 512 107 983 393 984 465 707 531 66 588 124 927 665 404 364 278 640 460 500 143 215 342 136 350 80 462 752 742 778 797 363 335 700 542 921 477 692 856 824 196 974 563 629 113 533 931 385 523 814 650 208 656 753 299 5 701 581 479 755 498 734 119 289 652 247 583 377 115 538 213 604 319 820 639 590 169 529 577 336 51 716 969 306 993 555 623 147 98 334 18 812 8 482 190 586 279 902 302 600 141 434 178 494 346 689 571 216 270 666 772 715 574 668 930 510 848 843 956 751 560 444 525 986 284 541 238 957 580 412 917 632 242 99 179 647 756 452 598 204 837 746 654 405 520 990 594 730 76 266 546 332 661 997 855 480 275 457 199 714 7 146 186 616 559 723 545 972 691 390 75 37 801 842 34 913 446 25 260 576 313 101 831 620 229 263 768 425 422 720 503 677 209 439 582 527 366 904 516 241 786 712 748 794 624 58 410 189 789 438 467 459 219 975 860 251 839 697 739 960 352 323 790 763 140 287 556 991 252 445 845 324 148 79 117 164 337 49 214 487 977 6 389 297 195 928 603 309 443 872 961 909 645 825 945 222 326 501 813 896 165 116 74 793 285 354 41 210 310 40 382 826 522 638 421 627 67 602 201 420 228 554 782 329 221 589 815 391 940 764 608 435 521 192 796 903 447 371 1
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510 932 786 10 893 320 910 14 689 922 991 886 497 783 345 965 720 90 170 220 240 462 789 237 901 963 84 724 565 655 558 907 35 959 985 580 189 717 810 750 390 708 651 226 432 211 284 835 418 756 899 179 298 507 198 302 419 221 607 204 884 362 283 954 136 962 489 151 270 520 157 417 468 793 452 712 934 662 159 133 72 227 921 262 950 321 184 127 943 727 13 104 141 550 900 684 451 425 51 960 913 722 281 622 699 933 135 99 505 251 317 691 129 407 668 113 527 634 709 457 491 406 146 196 111 536 484 17 805 246 410 200 114 914 278 815 271 967 595 997 387 808 188 747 796 992 981 253 881 474 661 185 599 60 88 293 817 49 654 485 519 314 167 735 879 834 958 366 441 373 819 705 44 202 854 613 578 953 172 753 730 718 537 916 866 401 443 405 25 785 629 683 889 801 77 811 518 460 547 941 329 471 588 633 876 26 874 433 255 472 951 50 548 446 230 165 274 313 596 924 294 637 920 124 263 404 980 671 223 324 81 467 396 804 821 541 212 800 201 454 702 919 87 346 882 862 923 277 375 664 847 29 739 846 679 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798 26 649 992 806 164 22 930 53 877 809 15 694 690 738 757 870 90 27 366 515 136 233 404 958 665 442 157 925 816 499 718 44 794 587 225 254 742 593 993 5 365 221 539 688 173 352 529 172 750 528 991 889 126 605 163 82 91 62 446 824 133 330 196 11 712 418 858 16 187 260 348 632 204 715 701 647 808 308 410 86 431 514 947 9 371 422 999 121 369 145 582 63 591 120 84 835 17 425 467 598 354 151 960 753 97 714 663 839 823 144 471 156 527 426 558 238 141 547 956 240 875 397 922 245 184 235 506 464 278 307 935 641 727 759 827 525 957 601 578 630 908 592 556 341 503 481 243 939 66 540 49 536 950 612 409 696 56 710 589 169 301 231 789 651 485 869 257 959 818 519 80 299 265 293 668 643 36 394 983 451 755 430 292 915 543 40 19 117 326 608 295 577 152 629 474 364 625 476 761 920 971 596 497 279 207 250 997 202 516 411 969 393 686 673 480 359 861 679 454 599 392 785 433 429 942 603 838 363 526 469 453 111 897 110 414 966 251 285 860 424 277 928 669 758 328 932 564 887 786 275 432 849 531 60 973 201 986 781 264 604 568 228 912 977 234 646 559 203 741 919 43 927 147 941 195 280 805 573 879 907 684 937 680 405 600 39 247 802 189 760 638 212 168 271 774 135 569 913 310 239 640 315 929 351 465 644 175 329 32 910 691 149 219 857 799 886 171 324 347 180 541 380 845 819 739 826 721 700 296 343 769 281 832 751 530 276 108 38 316 522 461 580 441 576 660 298 267 440 878 610 332 571 304 648 372 814 978 67 708 926 34 635 538 659 534 693 707 205 995 305 258 882 890 791 737 994 470 107 45 216 546 398 443 270 33 103 775 989 436 616 699 124 322 54 817 361 28 613 458 150 6 312 917 628 449 954 52 767 374 185 880 131 350 200 943 891 976 780 160 344 682 381 100 14 842 572 246 743 685 586 847 770 778 140 551 259 828 51 320 283 777 176 876 509 904 4 165 771 562 132 622 892 931 388 50 609 906 438 510 683 896 427 671 695 566 143 720 47 395 437 362 508 725 734 670 46 489 748 717 864 498 765 241 353 210 167 834 740 162 766 953 479 855 447 895 565 825 199 853 829 872 459 606 390 675 230 782 836 985 385 916 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8 788 552 678 302 3 377 378 475 248 158 776 511 716 873 125 25 35 24 820 810 58 726 894 48 406 645 29 549 544 1
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773 176 663 557 204 973 962 331 180 974 41 760 997 556 147 999 675 748 329 194 38 946 11 678 583 866 278 655 954 991 403 666 676 779 848 161 914 340 570 943 739 314 287 299 22 775 843 796 953 233 920 712 584 702 137 917 908 467 968 810 618 404 900 960 364 241 645 839 199 263 154 16 497 435 234 798 361 149 309 483 107 446 112 958 513 400 723 189 895 548 44 146 727 485 4 17 250 782 538 985 737 657 838 965 45 454 320 399 740 928 964 588 440 422 933 382 604 889 95 40 212 470 411 356 139 450 620 742 21 460 930 684 152 638 703 735 824 209 526 831 158 904 348 468 237 168 632 61 85 336 894 617 102 860 868 763 637 535 966 20 354 230 165 919 950 26 525 3 631 494 744 808 561 511 648 969 795 713 150 993 878 321 193 317 43 729 285 87 955 830 396 859 31 325 430 221 752 695 624 379 910 793 514 257 745 554 453 804 46 873 135 441 238 543 172 874 524 530 531 844 315 909 282 807 718 871 239 835 947 402 967 14 551 84 590 867 857 799 768 100 205 568 545 119 803 296 82 929 144 569 614 777 423 503 316 719 114 270 302 444 644 612 855 171 738 307 730 36 834 78 732 8 277 93 882 187 863 89 305 466 226 911 879 942 313 549 899 276 970 72 580 847 499 201 913 589 457 48 923 301 515 332 188 157 219 173 54 414 665 769 310 246 75 714 365 850 295 267 131 653 478 487 392 289 197 516 88 439 935 801 945 426 837 339 77 544 822 2 931 256 498 595 62 352 318 182 268 206 148 938 522 6 186 431 479 926 424 791 815 865 987 387 659 977 883 65 660 689 308 701 350 215 156 81 63 586 99 108 802 51 192 829 944 596 142 572 311 225 979 861 480 674 706 128 677 117 25 486 207 890 488 482 304 625 566 337 429 409 886 553 853 778 141 122 330 419 67 393 216 888 407 245 600 279 577 639 229 912 539 103 151 111 166 175 599 563 940 696 756 303 877 297 18 990 592 725 283 825 266 972 537 415 259 690 700 992 106 236 24 443 573 672 492 162 13 333 571 37 185 901 627 781 787 224 567 328 458 442 427 334 536 390 560 918 395 630 994 401 388 7 252 273 214 652 743 789 358 433 69 52 694 885 143 806 685 673 335 349 90 770 693 741 982 275 255 746 650 774 394 607 634 520 670 56 129 351 907 118 362 490 921 587 840 891 124 717 42 797 726 228 662 626 635 502 68 274 371 869 174 507 641 800 747 374 202 751 521 370 619 936 5 127 421 649 647 951 177 281 616 750 605 284 30 988 981 754 579 581 924 169 190 417 389 585 817 528 552 240 300 138 682 145 288 832 555 922 937 691 983 501 902 271 227 66 98 428 519 755 76 213 223 640 132 346 432 159 55 369 347 547 248 280 562 104 996 73 355 550 827 692 699 217 86 858 504 927 956 163 115 360 418 23 109 772 398 711 541 818 849 925 126 906 434 368 893 916 380 532 363 668 436 559 661 367 130 636 623 343 477 101 575 903 53 667 716 880 496 27 74 680 594 984 654 123 153 601 651 64 375 438 876 97 875 376 113 658 183 448 978 915 609 728 462 70 178 707 736 896 776 58 353 455 986 292 465 606 957 134 491 32 406 836 697 963 1000 872 679 540 179 852 59 845 210 976 961 71 170 447 704 231 510 412 10 290 105 60 731 473 410 80 709 200 39 464 505 469 610 898 344 998 664 345 856 254 593 688 952 140 846 167 327 980 471 484 19 260 790 445 94 887 357 481 413 771 1
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0.544426428874 0.364438755564 0.694915822535 0.976131509044 0.466150679158 0.596450851168 0.419986092654 0.620559937417 0.210299572412 0.892583066677 0.772795211476 0.273946305847 0.0143560412844 0.357215706871 0.154638745889 0.595967998644 0.54491719122 0.188914131213 0.714775807586 0.453927857826 0.988087284392 0.836282225064 0.168353358772 0.604943070898 0.0278330543416 0.242290370249 0.354864810241 0.641318555694 0.804129930459 0.567831293231 0.829040504142 0.505350154772 0.662431221729 0.659673961012 0.165147390683 0.952808202832 0.166178761662 0.108346583829 0.215817827204 0.24283239034 0.892029821801 0.548107246513 0.32863051206 0.103719841108 0.518057100734 0.141171437143 0.172150165973 0.760097323096 0.701496402283 0.928584838378 0.366402875477 0.975328688378 0.660183413075 0.415760734296 0.19237330839 0.00630831778373 0.283618366223 0.507722194891 0.768617547132 0.896503647991 0.68833999668 0.185199550762 0.284274036695 0.54136512192 0.918863881978 0.242180801814 0.494110581629 0.871642423081 0.899386995879 0.722490954123 0.710307225965 0.336047028744 0.532835548867 0.33182674732 0.532610590926 0.041485206384 0.965427021397 0.919384114341 0.713386920481 output 1 554 851 160 638 171 765 279 627 186 971 456 789 927 169 522 286 820 754 65 80 642 666 87 250 710 819 68 70 48 40 407 847 193 209 882 519 516 387 459 267 889 109 672 981 807 639 824 572 561 12 223 832 423 101 175 89 617 229 362 857 866 496 264 872 350 970 728 192 15 525 616 178 256 181 861 614 661 489 880 696 512 283 52 331 507 904 946 364 657 644 531 733 320 96 621 898 285 721 999 140 347 559 340 702 856 790 901 137 79 794 785 787 36 500 877 936 143 345 170 558 271 508 234 251 620 925 839 831 841 67 711 25 233 369 551 207 115 610 682 394 712 792 550 937 199 475 42 704 566 112 798 726 339 801 113 944 367 277 751 117 440 190 333 703 852 758 239 813 16 511 31 935 755 897 473 635 811 191 91 311 868 430 740 138 478 262 62 492 890 687 445 307 424 147 411 375 989 505 290 506 634 623 774 93 106 125 392 218 176 116 363 448 676 221 226 738 401 153 921 128 585 874 485 268 127 679 884 580 761 560 656 72 967 9 912 385 470 351 152 477 911 909 102 452 699 575 265 141 288 211 304 938 631 247 903 43 336 471 896 602 923 968 665 693 860 782 654 95 793 206 494 19 380 564 242 393 282 499 527 984 667 35 980 769 146 876 934 20 416 269 539 386 618 158 671 565 992 108 466 538 974 719 114 954 611 681 701 159 361 914 745 167 894 214 337 802 983 258 653 853 71 220 521 502 994 707 943 947 900 691 225 848 198 762 355 208 439 553 698 390 204 3 56 562 357 205 791 427 555 997 998 533 840 615 596 22 400 818 482 690 957 352 213 309 768 274 57 962 455 78 722 680 886 916 692 224 47 97 254 543 366 977 210 133 293 783 110 244 151 772 377 906 865 232 94 557 259 576 952 37 26 330 278 717 961 599 953 121 743 395 908 415 173 744 573 344 450 584 77 321 501 196 969 780 168 630 773 942 786 675 441 449 130 552 183 907 643 624 951 835 777 461 287 365 532 187 433 567 156 913 810 579 399 658 964 302 139 753 569 950 325 982 652 54 405 674 495 188 534 510 131 467 222 578 633 588 778 27 795 683 651 17 402 84 816 228 855 88 383 32 202 879 689 298 988 582 353 403 465 349 529 236 58 830 955 266 69 497 329 632 317 434 457 370 328 280 930 945 673 41 826 145 425 118 493 105 939 544 129 958 203 838 442 419 688 746 586 92 720 291 6 524 668 973 305 294 276 714 518 862 75 157 948 779 413 655 7 776 808 134 796 295 829 924 148 619 864 931 803 50 136 604 227 763 61 869 63 637 517 474 888 684 871 165 846 926 815 863 469 577 34 590 799 959 438 246 324 729 530 979 24 487 828 4 526 45 104 685 462 323 713 662 825 397 408 2 972 284 180 404 360 435 396 589 346 64 629 144 431 421 978 312 49 446 73 965 718 587 670 678 491 823 179 601 406 217 453 426 484 834 51 636 612 804 270 760 300 893 725 597 883 504 215 409 308 486 752 479 189 571 436 881 241 734 86 356 237 649 650 509 154 261 640 257 281 315 59 272 30 837 184 185 598 514 709 915 735 161 660 812 123 700 348 646 613 263 212 537 775 757 827 891 697 273 460 976 420 303 76 85 163 993 941 749 842 81 472 99 443 545 739 737 885 975 706 648 960 231 454 542 149 240 8 845 996 490 332 849 53 985 607 917 162 313 354 515 498 447 932 647 230 463 164 920 822 956 343 628 928 949 875 905 384 966 902 177 1000 750 664 991 235 797 806 174 715 60 568 391 821 122 748 756 432 327 458 74 83 940 46 724 708 513 381 316 150 172 488 98 695 858 781 483 252 13 243 878 843 523 297 771 910 11 296 388 603 788 593 216 382 867 238 873 182 892 310 55 574 39 378 659 556 341 895 275 814 727 581 716 314 546 389 245 219 376 253 741 600 368 626 986 606 919 437 736 535 899 870 155 730 66 844 318 833 918 428 859 963 464 817 767 694 373 747 398 677 124 126 987 38 255 766 28 723 289 249 520 742 547 468 120 326 922 306 319 663 809 686 608 605 929 260 410 594 995 540 418 417 625 481 33 334 731 21 142 933 358 412 887 107 322 429 536 770 422 836 82 166 372 451 5 299 705 359 338 135 444 548 800 784 342 44 805 201 541 669 570 641 591 645 503 583 414 374 195 850 197 194 759 476 29 764 10 111 592 371 990 549 379 132 301 480 18 248 90 595 563 609 103 100 119 335 528 292 732 23 622 200 14 854 1
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524 97 371 46 322 42 785 724 781 339 910 390 449 269 350 2 1000 331 610 477 742 700 818 845 250 141 295 816 68 62 605 995 630 294 348 28 913 216 282 360 419 570 961 521 631 675 680 187 921 822 159 965 374 923 895 6 415 936 433 637 106 186 293 983 98 351 832 11 686 844 270 257 279 896 757 15 355 492 833 71 326 836 382 510 49 245 954 249 564 575 932 984 470 275 452 901 881 402 734 659 54 538 414 651 362 149 920 197 552 153 130 325 720 906 586 242 406 871 277 205 660 303 21 223 123 256 494 701 425 674 520 40 392 893 214 376 875 620 338 125 924 399 221 731 705 112 653 124 211 678 726 52 722 204 196 378 314 810 758 638 472 219 17 381 169 507 177 77 454 178 867 143 793 515 606 138 82 347 434 823 495 801 712 70 115 593 854 161 7 561 578 942 828 907 217 622 285 756 310 29 958 574 265 760 669 723 385 873 511 156 576 715 366 750 287 870 716 595 696 999 752 448 607 447 698 266 336 491 413 312 918 695 126 329 120 290 209 676 885 264 321 551 238 247 789 487 69 992 31 306 181 412 931 346 643 516 508 879 588 938 300 165 166 450 233 826 890 47 191 711 751 540 48 729 20 276 824 997 318 483 926 842 821 759 55 389 152 805 299 396 541 559 943 933 594 489 611 88 288 12 830 825 708 344 311 646 798 405 655 262 649 650 733 215 377 847 301 119 380 373 656 500 486 78 687 972 183 393 694 475 328 898 950 795 431 746 203 604 497 144 654 792 57 19 628 41 114 796 947 462 941 704 766 819 252 713 121 710 952 94 418 753 625 283 542 302 868 571 45 370 72 198 369 175 863 340 74 87 232 458 765 971 136 273 782 647 526 66 573 333 375 445 308 400 768 113 589 672 201 914 127 973 85 105 429 556 877 93 829 900 916 180 956 317 160 343 361 629 502 36 909 109 92 925 474 886 90 337 911 239 915 719 421 200 466 86 297 846 135 403 194 899 568 263 173 577 679 799 206 291 96 569 281 858 453 43 849 681 467 237 688 665 388 767 787 979 22 478 727 132 518 176 634 37 721 437 349 684 81 550 202 246 248 220 761 509 404 342 23 33 372 430 624 613 843 498 745 171 860 555 51 480 807 645 835 432 838 929 562 545 945 587 182 554 364 539 989 978 163 919 525 3 998 44 831 244 714 817 417 685 964 773 212 108 243 111 548 323 788 179 591 484 837 657 439 442 185 797 158 735 207 762 145 332 457 481 803 251 493 644 641 465 330 905 677 579 728 522 436 543 341 953 231 258 560 101 955 640 56 280 894 993 9 980 834 671 776 110 411 912 862 744 583 116 557 908 670 513 199 741 553 397 608 960 747 673 820 426 241 580 235 853 67 438 225 536 213 83 278 581 4 748 791 170 963 142 806 693 104 309 358 974 316 463 363 985 537 146 155 210 861 944 134 259 994 102 451 133 904 584 775 424 5 990 324 969 193 690 534 988 814 774 567 8 619 319 783 271 313 841 689 254 188 617 154 73 935 335 533 777 565 809 129 226 261 572 345 482 917 706 667 240 410 383 949 732 255 512 888 856 354 368 184 892 600 517 352 602 709 384 401 32 172 959 208 840 407 428 53 60 260 939 601 365 982 24 535 864 416 357 887 91 320 117 14 315 668 702 27 528 506 790 222 544 353 174 490 137 642 80 718 274 444 305 441 190 530 292 359 666 224 18 75 189 743 459 652 839 977 499 815 596 427 34 289 804 738 851 957 148 636 683 167 802 387 848 253 327 780 934 725 284 903 635 151 612 987 468 1
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0.958445145697 0.124492336609 0.709008607941 0.871963915156 0.72280324151 0.597053375766 0.801796962909 0.886341285643 0.313092469792 0.624953346617 0.0893533874805 0.687948366301 0.723003317125 0.134217145868 0.276371748077 0.49908878858 0.916922215076 0.575640490361 0.178184815613 0.543817397795 0.521657437653 0.380451639357 0.863620977196 0.979005866032 0.00974775515758 0.916232737915 0.365591112995 0.782805512193 0.317244601473 0.0669176754748 0.330563216065 0.118658474421 0.722090666877 0.924343892119 0.646314839293 0.470080212171 0.672083159901 0.149691595056 0.143463793406 0.187995476477 0.206855656729 0.117335460064 0.748916375838 0.0492009486724 0.692101427632 0.0455068025028 0.594402960684 0.607687754862 0.496782032284 0.0989670057996 0.817497501945 0.616144781323 0.157255897808 0.642808537346 0.659424218491 0.79761495984 0.112044258525 0.0694525934309 0.589765989751 0.660668112446 0.785189071237 0.420891318673 0.541387084202 0.551557434162 0.80247692867 0.397233454512 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0.643517693147 0.125538022299 0.385265095448 0.835060414878 0.875948706399 0.103717206562 0.872288596444 0.614259815816 0.932134757614 0.027252238063 0.396305150187 0.497961569073 0.145642961207 0.290501086275 0.0674272427369 0.0258717703575 0.177705895652 0.580598258733 0.641182843869 0.806591865331 0.856717206471 0.604655159896 0.529058051813 0.26406471309 0.681503467411 0.0372213190239 0.867023552193 0.951089534371 0.0627297636463 0.104448866599 0.686877851195 0.345440370021 0.965939512725 0.787080257895 0.183153439908 0.583246209506 0.135421463405 0.0591128572625 0.766027792967 0.663730570854 0.891681453656 0.18781344798 0.900908774546 0.60142048755 0.564292888421 0.424154229963 0.810837966265 0.755698616056 0.996997308486 0.195504046531 0.656238484525 0.693829295003 0.400115617367 0.177395735625 0.601052474732 0.0553635412199 0.32588878462 0.919240798591 0.481520598158 0.989418999257 0.189412734771 0.671017777793 0.826668525566 0.798808431941 0.608842270332 0.372718499556 0.63164712128 0.870324378248 0.607286871389 0.663748322769 0.282606961323 0.0925887548876 0.519986780976 0.65152151438 0.278632280276 0.443284818084 0.468565806379 0.821578115077 0.493829165904 0.578340106652 0.356468733732 0.508448704459 0.878686062422 0.935470589713 0.393130063027 0.772474760115 0.565336078563 0.854421565598 0.798731386097 0.638775230269 0.996415890135 0.921146689239 0.114729223737 0.259907439449 0.275274021736 0.782131857421 0.91619431993 0.914390624163 0.628047993706 0.717574433251 0.464503672979 0.865660379775 0.282345309395 0.766550710444 0.137328158525 0.476256355498 0.406977986151 0.646865147297 0.18433676594 0.766467360459 0.108336754206 0.434320984253 0.0565747504904 0.513253271969 0.572763488526 0.305205686156 0.583094605569 0.244205287146 0.208682833902 0.0415017835537 0.520219194397 0.352431614565 0.852741083826 0.170793213421 0.0217141179183 0.249466709456 0.696965930524 0.0264397555158 0.737992569042 0.316442028631 0.672895022626 0.0765799119604 0.448460315956 0.668430841051 0.90883701172 0.151362702729 0.0541009677012 0.690305175104 0.701379823734 0.738872419489 0.976673152559 0.686768016238 0.223433854122 0.0468798323265 0.0822552804285 0.0418501267799 0.593222916104 0.224884452009 0.748905630061 0.296164067437 output 1 84 532 832 492 654 707 6 708 376 218 443 89 806 955 856 710 457 743 170 128 637 205 530 553 506 38 440 605 459 416 719 959 561 523 456 861 611 311 450 261 23 887 269 935 593 655 132 975 359 19 995 30 617 596 781 112 158 951 315 725 905 210 395 49 500 889 960 899 97 623 652 71 962 484 307 525 256 415 571 883 227 153 751 190 535 163 731 455 392 431 724 877 776 2 435 39 88 782 894 580 795 127 22 130 98 403 857 85 892 412 890 559 819 836 859 278 299 797 4 686 245 342 895 922 761 453 562 393 200 862 497 176 219 423 855 603 468 612 254 197 757 945 803 341 57 264 572 305 850 783 793 232 70 897 109 111 432 411 496 83 9 558 587 301 585 557 275 424 735 35 124 327 900 310 868 699 947 80 929 936 764 126 767 885 485 970 188 727 143 565 773 75 419 842 640 516 701 356 277 94 494 173 14 704 422 949 635 740 648 660 754 845 339 317 181 434 114 529 42 368 502 329 608 228 522 957 8 830 374 226 717 528 476 79 10 135 387 863 7 747 95 618 321 358 448 876 752 827 239 15 583 809 161 939 766 482 871 323 162 462 696 167 322 65 967 748 974 32 461 595 629 744 234 607 753 207 971 141 577 51 780 122 69 211 942 762 791 653 996 718 477 625 20 454 794 749 436 335 685 661 702 76 107 547 517 669 568 665 536 47 394 578 539 289 401 511 198 769 950 726 824 610 848 860 712 409 429 148 26 930 466 118 840 298 268 657 613 28 928 297 505 309 711 129 385 267 426 257 382 360 881 106 249 567 50 293 417 938 989 882 745 991 229 599 328 923 926 903 377 160 609 156 866 826 818 815 805 588 199 294 357 878 296 381 340 255 389 591 379 534 953 93 606 37 204 631 154 171 884 545 270 287 155 677 230 283 319 276 499 91 521 999 984 336 779 352 716 248 548 134 24 212 642 48 5 627 498 778 838 913 672 723 817 490 338 630 849 693 102 597 187 810 987 367 108 659 165 68 582 488 290 524 993 594 946 546 550 556 847 216 235 400 917 237 285 908 272 63 121 624 601 552 649 78 366 1000 990 166 691 941 759 460 898 839 383 408 406 958 615 787 470 291 316 479 983 689 74 937 353 242 131 282 17 643 458 858 520 662 46 800 61 44 798 670 952 768 444 634 896 901 346 21 771 144 133 16 592 150 240 706 756 481 495 874 442 633 997 349 985 574 715 846 325 742 31 487 292 375 236 260 998 933 469 586 645 77 314 789 554 538 940 814 763 914 182 90 280 788 304 348 888 944 549 59 445 924 880 589 961 213 692 372 433 604 509 909 465 875 100 405 233 208 183 733 622 464 215 252 407 373 828 110 853 807 136 399 700 284 879 475 56 224 972 910 790 378 474 343 175 988 503 823 911 231 125 140 920 344 852 29 837 667 388 621 675 678 33 18 932 263 822 354 164 732 688 345 96 117 663 189 628 3 365 174 421 906 851 602 632 463 478 684 145 584 334 214 119 418 813 564 179 682 104 741 384 614 729 690 105 40 674 721 172 273 681 312 673 679 533 639 739 427 590 480 355 986 755 870 12 948 13 709 380 430 705 916 60 540 843 777 303 891 493 225 438 300 501 965 45 620 351 750 508 36 812 115 834 760 931 513 966 62 919 902 152 123 414 737 306 680 963 53 543 250 489 867 371 786 581 683 570 82 157 413 650 281 563 943 792 934 676 575 386 869 636 58 658 223 202 425 332 308 978 449 796 420 137 217 560 666 722 772 241 904 616 201 770 981 918 526 147 253 555 437 854 893 103 982 697 703 203 514 320 687 25 802 694 831 784 64 865 41 994 159 451 364 194 370 730 324 736 886 404 956 288 168 43 728 279 72 921 52 656 486 313 507 668 196 262 363 804 647 573 980 746 774 801 541 362 825 247 331 544 472 391 765 251 138 34 841 186 99 206 835 537 542 872 829 775 698 55 146 515 579 566 180 396 330 551 518 915 738 799 266 318 447 86 907 467 651 193 397 209 527 274 491 192 820 326 569 483 184 734 27 954 243 912 142 101 446 120 185 116 973 139 286 977 337 66 350 927 361 873 695 968 11 390 619 169 510 439 428 864 73 758 369 821 244 178 402 271 441 519 149 302 54 979 151 992 222 258 714 471 347 221 220 713 195 646 265 295 720 512 811 576 644 238 87 598 246 808 410 964 113 259 473 81 925 785 638 626 177 816 531 671 969 504 844 67 452 191 664 333 641 600 833 398 976 92 1
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0.948339806664 0.385947023959 0.2197290118 0.484197668854 0.656629608648 0.652823629442 0.29579981492 0.915976219658 0.250475941559 0.900573591588 0.580536329695 0.237631893556 0.28539876548 0.591402995535 0.913266400356 0.325570897497 0.302932782732 0.222539081712 0.606624990741 0.149906024324 0.755962107746 0.297633767344 0.685364594356 0.364528880125 0.811419517738 0.893001029764 0.188066008093 0.281273269825 0.845516392178 0.662793535063 0.773348531744 0.926525328916 0.314830182341 0.503693957727 0.646848393812 0.0742838440022 0.913085254412 0.0731710521019 0.421363893644 0.234313426862 0.370528777707 0.631505726356 0.797472652595 0.987987359377 0.251981057721 0.464607787799 0.600684508337 0.205115425613 0.0421434100473 0.336815677114 0.116417645187 0.30355260786 0.291366332608 0.978550089887 0.775446378615 0.204817803412 0.414439194266 0.138807100119 0.0211864597483 0.0852486232337 0.00158386304443 0.157940506842 0.839799423724 0.607857936339 0.110354286367 0.135662944909 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954 763 117 687 323 38 118 457 791 626 580 929 779 171 685 52 584 193 252 173 906 740 736 316 186 383 93 750 908 932 875 588 669 590 654 569 623 742 309 20 777 66 407 690 514 102 428 757 912 846 728 51 810 911 104 482 111 148 287 392 362 952 410 823 70 115 830 693 340 786 37 530 424 304 778 299 577 565 396 900 168 329 388 328 638 811 752 905 635 962 824 389 295 64 589 44 143 185 744 995 765 834 575 258 557 224 266 276 826 202 815 552 41 53 284 673 864 554 194 415 579 838 133 640 700 231 445 404 631 836 483 670 964 893 24 147 27 356 408 697 367 754 657 121 12 156 25 878 145 942 833 437 975 307 289 432 376 772 536 981 4 275 963 106 972 688 813 732 858 197 595 241 474 187 360 212 351 855 233 68 448 652 239 98 662 701 28 919 254 716 533 537 956 347 475 636 103 214 140 97 375 179 758 843 468 359 460 183 767 683 262 910 391 730 500 617 170 260 446 937 658 213 317 715 517 326 374 563 497 691 629 60 891 422 722 796 872 406 372 816 357 324 797 343 379 141 944 991 434 883 429 232 71 478 327 803 576 471 596 918 435 599 672 558 943 916 17 544 85 395 820 259 479 113 494 303 176 915 19 26 852 59 76 676 175 310 860 377 199 455 178 363 342 189 806 339 926 217 150 8 125 571 624 184 619 780 663 707 353 938 608 818 277 664 416 222 535 545 948 951 776 419 837 423 456 134 709 30 827 35 283 57 739 940 458 88 668 678 451 960 903 1000 364 917 136 414 789 618 496 698 366 240 6 547 591 81 501 831 447 413 16 768 850 510 661 229 138 967 161 985 751 155 508 472 116 442 31 984 83 581 936 620 169 100 727 753 278 177 840 132 433 983 499 418 947 75 804 993 29 384 298 431 889 870 749 988 300 989 682 114 420 470 802 308 567 953 515 218 91 368 210 72 705 646 913 167 160 318 642 305 847 854 602 607 401 660 655 77 835 924 146 221 781 523 798 570 58 884 269 808 14 895 656 519 887 39 348 425 411 733 587 427 692 462 775 965 336 894 314 719 398 382 40 543 112 281 538 90 192 605 332 209 793 489 939 333 769 851 770 774 164 122 485 708 907 741 955 582 387 694 644 421 881 686 863 601 507 703 812 238 564 978 296 207 223 101 914 313 738 546 551 627 237 756 312 108 440 612 650 297 32 987 610 110 130 641 36 481 979 306 819 466 21 257 153 236 550 352 248 950 865 204 998 787 251 149 556 999 378 856 583 721 968 205 82 371 922 79 228 157 764 649 436 92 346 992 625 453 574 615 506 135 126 901 56 614 890 469 250 476 399 521 603 195 163 553 822 888 261 402 717 400 438 853 274 180 934 208 585 648 181 341 512 321 109 439 977 46 225 47 350 643 747 592 467 869 464 959 792 746 385 477 319 7 227 566 896 454 933 647 704 782 880 931 131 369 119 124 667 123 828 935 315 606 43 322 879 226 528 616 65 604 930 80 219 973 67 292 541 509 302 990 361 286 630 234 718 256 320 941 486 62 799 674 50 461 899 154 748 182 817 622 611 832 33 871 946 334 311 84 969 235 426 2 734 190 22 513 498 724 839 96 949 645 677 971 128 737 790 766 857 539 495 526 720 99 463 417 511 18 142 867 549 909 892 370 996 358 637 731 152 524 684 531 78 5 559 555 215 285 344 898 23 970 249 393 403 87 166 242 597 809 725 928 397 784 671 94 800 866 253 490 699 578 653 633 689 572 788 331 771 203 245 876 345 675 211 452 198 61 55 982 522 527 904 337 859 255 301 491 821 862 882 923 814 568 355 42 680 412 1
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802 668 221 878 861 344 456 997 26 196 925 758 8 651 985 241 792 553 184 836 256 152 122 234 482 811 228 902 522 380 480 27 186 367 51 436 470 601 205 803 708 707 524 319 194 161 50 844 561 333 292 75 505 940 218 903 702 823 352 397 892 178 69 677 744 673 724 703 970 797 516 957 898 361 610 816 669 267 143 346 103 667 598 748 453 450 608 3 960 720 127 318 339 68 621 478 793 558 24 556 818 560 477 886 311 734 262 488 976 86 950 546 755 964 786 937 54 788 998 253 749 444 559 876 648 564 682 994 323 198 602 854 575 520 430 858 222 833 687 419 781 653 405 338 81 363 567 590 61 266 626 394 381 230 337 345 165 493 247 948 880 468 322 671 718 817 923 848 245 84 354 13 225 642 273 162 93 420 562 160 437 282 111 104 751 871 209 243 156 634 660 584 775 107 917 978 600 763 246 955 508 192 5 697 986 498 577 210 633 705 481 714 499 9 737 822 14 826 224 73 252 847 839 426 55 513 254 67 591 340 200 135 672 654 136 100 442 383 609 586 510 174 548 314 140 139 335 624 429 82 484 325 946 865 501 290 647 768 327 787 30 121 953 129 618 483 233 469 193 187 195 644 105 199 369 806 523 599 543 747 10 981 257 853 388 343 384 304 580 358 588 810 796 771 914 912 197 29 36 328 166 813 272 622 226 977 837 316 379 679 287 310 694 72 696 808 731 932 447 545 604 963 48 722 783 877 616 175 180 168 365 425 473 414 359 947 114 398 825 951 240 962 592 201 615 183 286 930 638 906 264 157 424 980 415 40 173 733 454 213 512 341 130 713 306 920 297 674 752 869 303 185 746 504 410 530 403 517 547 649 112 452 670 791 966 619 110 916 321 655 557 309 721 574 305 594 96 730 782 41 888 39 204 527 149 519 842 742 491 170 850 440 715 274 259 269 572 331 307 635 606 882 518 650 939 148 949 90 770 620 479 402 387 954 439 349 496 625 540 515 296 628 291 472 843 15 503 975 133 835 1000 108 507 627 177 125 464 88 719 846 85 989 639 919 698 432 827 555 248 576 382 676 409 300 17 617 740 70 76 258 11 28 819 958 631 741 938 526 952 900 695 21 124 99 31 144 603 780 42 959 423 348 690 652 19 909 389 745 355 956 445 597 378 466 568 895 43 794 7 34 418 566 98 928 301 860 45 295 815 260 279 131 700 996 646 643 701 830 974 215 535 53 47 841 942 812 190 142 640 762 913 74 641 521 893 227 347 401 324 431 728 332 4 153 102 879 377 461 128 65 351 171 158 645 368 80 809 578 238 664 408 242 971 908 495 563 216 773 611 709 589 656 438 845 727 223 373 288 691 16 904 779 371 421 778 790 680 25 395 514 353 251 750 317 392 416 864 500 725 723 528 873 58 494 929 735 874 261 593 393 666 935 991 115 506 208 995 330 465 38 280 565 539 678 936 376 467 968 824 57 992 37 308 443 94 147 972 525 336 350 485 283 492 630 486 573 138 629 302 821 897 89 987 411 706 686 275 372 299 756 765 119 219 777 404 2 692 49 217 769 657 366 973 945 211 285 66 905 736 612 605 772 587 451 544 64 370 623 716 412 6 497 362 20 901 943 181 511 244 688 56 87 255 857 585 32 356 236 475 427 276 829 921 583 637 840 934 249 207 375 538 433 487 887 385 965 753 910 774 870 636 661 595 684 632 268 738 867 413 988 179 71 250 417 596 852 881 167 390 899 915 570 866 582 116 189 924 891 294 33 685 364 993 804 907 123 732 541 141 990 265 800 607 35 462 44 834 78 550 658 552 581 969 579 662 12 784 77 1
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366 465 53 203 89 407 483 111 383 86 800 579 681 752 811 287 684 41 439 847 270 907 711 848 108 224 194 785 608 135 381 796 380 210 56 632 841 451 267 55 363 132 578 50 471 373 454 774 631 725 628 115 82 116 705 147 976 535 376 795 239 573 311 979 592 951 23 678 755 913 634 990 819 304 958 877 511 987 190 385 616 615 609 80 443 317 959 92 864 551 272 642 296 729 952 168 928 428 895 520 66 8 582 17 59 34 393 695 182 170 641 817 985 886 974 10 74 923 773 602 43 445 638 516 776 122 905 164 949 263 772 125 783 339 667 983 149 536 961 425 119 455 571 696 528 636 706 859 104 545 604 486 651 839 450 253 171 567 995 780 601 456 984 325 220 435 517 647 781 351 215 277 62 921 85 748 466 996 355 525 344 218 828 851 746 166 226 806 175 912 484 124 565 726 840 361 513 825 95 884 375 305 463 430 581 467 524 268 527 600 911 101 804 6 526 300 650 506 812 306 426 594 854 745 622 977 720 468 610 613 657 495 475 81 699 417 664 540 803 87 544 302 946 659 874 457 252 922 235 737 242 145 499 722 866 97 896 326 103 183 507 867 888 882 708 670 473 963 322 365 379 791 676 814 918 538 831 230 347 523 18 986 423 422 570 143 246 809 487 514 46 989 406 960 939 686 186 593 280 494 698 60 830 721 607 849 174 188 254 934 163 243 554 256 522 303 449 898 816 225 758 216 398 779 645 881 532 585 756 57 157 552 49 916 876 142 997 75 130 251 843 294 109 162 778 557 842 284 438 52 658 137 33 223 790 853 948 370 474 547 999 955 424 100 47 924 348 869 42 27 336 596 827 441 908 244 335 744 861 238 563 292 652 464 991 290 587 799 709 548 219 747 227 70 278 521 350 208 399 801 639 321 291 202 401 740 458 704 836 687 283 69 448 447 30 440 733 460 603 39 967 1000 113 470 762 11 788 64 273 735 599 265 518 998 331 206 910 289 107 850 929 262 261 327 932 701 232 127 24 354 663 446 337 196 323 313 909 414 665 139 588 542 810 154 63 723 396 674 605 768 250 204 35 716 837 553 784 583 315 260 558 591 200 666 612 274 590 141 649 897 173 501 416 120 606 126 964 940 288 58 389 870 301 697 845 176 245 102 372 833 978 310 654 312 110 118 155 741 184 621 156 873 789 207 757 271 931 20 717 233 299 891 589 461 388 400 630 25 409 500 71 353 871 715 620 648 472 802 856 919 531 868 894 99 3 505 88 798 7 739 359 834 387 419 429 369 36 368 159 906 662 793 559 982 933 769 763 29 815 954 575 144 971 76 917 920 259 349 576 213 469 734 724 718 759 808 386 320 736 702 510 286 693 509 172 67 178 643 403 346 899 5 105 295 281 865 624 180 12 671 140 633 669 860 360 431 165 185 415 504 453 112 930 786 962 21 655 367 345 79 436 626 568 838 16 73 818 569 549 497 584 356 625 91 199 434 519 392 490 308 935 72 83 692 493 937 193 728 151 358 941 395 340 266 826 189 404 4 432 442 656 22 54 412 169 561 875 560 410 462 195 925 892 623 944 512 377 661 209 595 880 852 794 427 237 51 68 307 489 314 539 13 362 158 890 146 205 255 943 685 586 413 777 879 675 420 893 966 546 181 192 619 38 117 459 901 885 732 572 903 660 214 805 900 384 564 328 858 478 653 61 161 950 543 282 316 562 378 574 846 541 217 767 482 134 614 829 48 743 690 766 201 114 862 65 782 555 258 247 78 530 515 672 673 973 343 738 485 502 121 580 712 481 936 357 883 229 129 1
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754 655 767 614 700 716 696 656 863 772 34 151 310 535 890 373 534 249 593 584 869 909 266 220 65 967 629 200 525 886 389 698 137 431 695 210 215 993 253 647 611 530 646 666 636 706 319 515 97 602 348 41 889 164 29 930 523 83 62 196 318 328 156 263 505 22 531 359 895 450 217 7 70 127 878 31 257 94 777 905 226 559 949 820 61 12 168 799 334 988 635 937 737 955 801 425 587 823 402 762 365 381 240 588 933 936 597 568 875 214 14 924 42 442 919 554 158 732 575 961 739 139 946 307 668 225 48 903 620 503 639 481 569 651 54 491 184 797 504 108 831 462 861 397 90 850 260 242 238 634 496 563 846 809 701 628 366 625 53 753 101 669 495 594 802 932 553 414 783 536 721 787 250 615 331 444 383 750 605 643 345 822 473 585 247 219 976 222 193 411 185 710 405 252 800 107 39 223 192 488 391 910 825 179 264 854 221 424 996 509 349 40 707 26 136 519 278 729 731 768 182 445 792 109 684 857 458 741 150 562 756 346 277 377 790 736 28 547 652 218 859 551 994 764 816 894 27 880 320 361 686 759 332 452 897 387 843 456 558 911 76 954 965 92 25 778 63 508 848 142 236 853 315 181 460 728 186 429 814 755 369 57 881 702 406 832 913 95 877 415 891 188 805 393 35 294 606 529 283 842 663 644 867 295 928 390 351 604 438 983 549 256 662 308 874 135 274 985 60 726 735 312 208 459 567 992 717 344 579 927 884 144 372 343 87 979 451 154 234 624 667 860 45 119 502 267 573 162 47 921 720 128 50 400 876 145 564 24 457 286 143 899 674 991 468 232 725 648 556 690 280 576 982 469 352 600 59 915 640 506 339 309 297 780 316 918 776 546 760 314 420 923 147 586 708 670 317 672 91 235 126 110 211 125 254 180 723 887 501 751 749 209 9 159 326 32 337 483 939 544 958 730 908 298 901 719 134 89 957 322 550 84 834 437 617 412 395 840 999 500 680 296 245 106 382 115 740 871 33 849 68 798 484 311 837 990 100 950 824 947 477 380 645 748 175 676 272 808 789 8 403 622 929 216 392 409 13 38 681 619 714 810 246 945 325 862 3 664 453 176 641 482 693 851 243 416 981 920 718 341 130 944 970 302 659 138 422 763 374 542 443 793 699 197 838 203 552 574 362 199 479 418 709 21 953 58 940 368 771 583 428 229 943 124 632 873 722 922 830 80 448 241 747 917 779 580 43 472 357 480 441 966 198 386 289 16 73 313 74 685 786 766 367 703 356 161 971 398 969 938 893 782 818 435 835 517 399 784 512 329 561 275 213 5 916 758 133 167 371 931 868 10 492 413 335 303 570 527 82 974 350 653 122 1000 781 493 66 657 401 633 360 487 404 683 844 258 638 791 591 171 105 358 601 363 713 775 521 952 37 99 46 511 914 935 498 190 244 841 6 290 821 607 744 906 248 270 103 419 132 752 520 833 353 817 631 858 494 466 649 11 812 987 112 590 160 866 978 856 612 997 673 962 141 261 423 271 55 661 474 968 255 120 166 417 984 321 738 117 926 212 148 342 282 727 589 724 370 761 347 323 20 592 486 902 204 279 187 281 305 273 733 396 514 157 687 149 340 815 324 227 522 77 819 734 476 338 956 71 973 765 960 742 78 545 471 757 560 596 85 879 941 173 963 688 306 376 432 354 806 394 845 623 447 898 118 942 788 888 986 86 439 201 230 794 102 44 828 557 72 630 189 773 237 64 426 852 578 285 839 177 4 292 461 705 30 770 178 582 464 804 497 169 330 565 627 827 697 259 470 465 152 327 1
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78 312 577 426 898 435 526 470 515 531 867 177 578 175 139 248 817 805 878 623 964 621 682 886 446 676 641 476 213 601 170 961 696 221 653 773 570 190 137 478 514 988 408 754 606 512 607 869 205 367 573 598 827 911 783 835 955 700 806 707 96 156 499 882 920 596 340 538 831 900 714 74 18 655 645 155 231 853 375 285 299 264 904 690 11 864 235 254 930 599 492 767 487 450 374 482 505 993 404 558 260 656 471 549 815 885 741 674 92 750 400 545 88 7 672 881 834 738 41 968 932 697 73 824 977 111 362 420 636 836 82 467 553 843 746 196 789 458 474 272 228 262 808 477 53 276 105 792 28 923 755 801 402 201 686 844 410 591 679 915 468 188 684 833 438 491 182 378 44 158 954 678 10 516 249 580 349 667 303 280 421 135 200 72 31 29 937 695 122 540 715 582 780 115 922 745 550 209 329 502 875 520 803 976 117 962 942 365 494 774 51 355 902 253 383 730 729 396 562 720 223 597 97 480 234 194 995 543 895 522 384 132 693 319 341 189 429 629 125 982 948 865 91 277 279 784 293 953 361 460 758 430 145 786 301 832 352 469 733 957 628 8 380 5 13 399 475 414 585 576 134 69 247 698 191 987 416 747 334 680 605 290 65 589 841 346 104 868 634 638 147 240 225 960 382 603 49 812 542 43 660 363 186 963 791 462 107 314 100 943 136 797 713 839 157 266 916 323 330 227 219 390 163 347 871 518 694 997 151 555 118 215 93 173 710 39 649 162 332 566 160 664 84 771 350 335 890 958 537 931 20 935 513 176 119 167 685 854 663 19 389 392 241 35 448 883 952 259 172 507 798 80 395 588 541 94 25 764 571 830 256 250 809 984 708 666 1000 975 880 407 103 874 6 770 548 431 845 98 344 79 668 101 659 153 26 704 858 951 924 877 86 740 624 432 669 267 889 521 842 440 345 752 978 592 454 613 863 180 927 849 310 648 967 337 743 110 701 183 903 428 405 616 130 146 610 850 769 640 442 485 524 411 459 609 342 23 775 721 328 298 866 199 481 207 159 165 34 939 351 327 108 536 893 884 517 879 677 702 781 142 593 983 12 311 245 675 568 45 556 581 985 802 619 998 989 819 887 486 373 70 206 753 143 343 826 148 306 3 24 594 46 376 412 508 620 765 718 639 647 237 321 192 852 979 129 727 292 859 651 794 950 519 861 828 364 370 897 308 539 600 837 377 291 178 892 144 359 354 681 268 232 149 257 825 369 483 243 300 76 133 763 626 661 658 464 703 120 368 16 297 269 168 444 940 692 906 60 971 461 848 612 557 339 210 736 238 590 756 496 174 862 816 242 55 109 83 699 289 388 870 637 63 933 615 814 734 22 534 722 353 899 236 229 894 533 449 202 114 309 732 622 152 630 425 282 336 946 926 381 71 762 371 61 484 433 723 901 87 37 439 204 709 379 822 195 56 302 394 198 632 77 67 128 820 36 888 671 212 372 973 38 331 633 712 415 281 325 847 500 333 113 179 670 921 665 427 643 804 910 711 918 959 949 127 409 287 62 683 488 140 644 116 652 169 278 457 523 360 595 564 969 324 498 772 217 75 166 992 263 239 793 424 224 527 731 320 466 273 391 535 141 315 261 452 81 788 393 403 790 296 725 401 631 532 748 912 447 295 811 728 473 326 30 222 99 89 66 418 584 529 552 735 687 625 294 131 443 506 422 586 807 497 423 706 759 398 851 504 455 258 251 413 945 479 646 112 121 419 501 138 57 673 493 385 275 255 286 751 528 829 928 657 999 799 27 181 246 1
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0.649902454661 0.520039196571 0.881962183696 0.953311070166 0.231831610971 0.709200351014 0.71260731574 0.0792774385352 0.124651482337 0.345596353481 0.0340070323469 0.312857765338 0.411653462526 0.471363714329 0.836141754115 0.876915334895 0.401293175771 0.894375461247 0.638396167538 0.771446445638 0.943515502669 0.793918716586 0.15970347623 0.515475408712 0.630652293615 0.210091903354 0.840135827647 0.291716365218 0.0319139255519 0.728834606211 0.959921995735 0.916113023097 0.772719306355 0.827400985627 0.540251824776 0.746230664548 0.87266384901 0.584453672635 0.796894030874 0.715016406576 0.377936206815 0.822747302133 0.787744369508 0.568654898049 0.329681465546 0.455423358366 0.139979690795 0.828214103613 0.206034295957 0.0156532214154 0.414807862719 0.820882532177 0.94395891105 0.810652093385 0.094057600853 0.67876831042 0.7139363807 0.295302907229 0.0862042811346 0.440593507499 0.482749588185 0.760528170319 0.622331455017 0.0230788318489 0.186234873202 0.741386861539 0.467374861851 0.62580105195 0.860295851781 0.0128078077663 0.744957906936 0.269633560302 0.605936040648 0.123245015398 0.213232962922 0.670836995503 0.0311356129219 0.820314172962 0.0122913334163 0.73341541119 0.875925585739 0.0834660475555 0.203509392853 0.583655503581 0.0277752167971 0.93169145892 0.309068696476 0.106691240355 0.903742711868 0.696663716701 0.0637950570983 0.38132262466 0.229008286552 0.593807312927 0.715257967668 0.76551989885 0.947326554522 0.796331287782 0.509673330723 0.501154790554 0.818708913902 0.977991853351 0.593187032168 0.693545755384 0.351082099784 0.4962852043 0.254342580947 0.795424865228 0.351344319267 0.673089307597 0.801296935014 0.156997603984 0.672972050499 0.0535181304828 0.0113235227389 0.286073043806 0.569650574497 0.504635648868 0.976764082456 0.349555984635 0.0900917011756 0.381564689262 0.787284772666 0.97083321632 0.762536681993 0.836865238775 0.710400417166 0.776370205411 0.804364190642 0.224802904313 0.501235535959 0.489473075682 0.963197343147 0.362115771072 0.373014747586 0.777231500797 0.568668516033 0.546648149975 0.0373132943171 0.531205043523 0.594556049357 0.200278444715 0.756427376089 0.852437617626 0.881729771812 0.308129422935 0.199800897614 0.274237738777 0.262986168053 0.178075623424 0.850158667387 0.778724201998 0.682429636849 0.723142275678 0.268145269055 0.765571603103 0.0957495488674 0.409496416796 0.820483344742 0.770073623129 0.619285446541 0.178834496857 0.676262184567 0.634539554013 0.427633206746 0.734699801831 0.779351156129 0.78261963712 0.584187462396 0.175959194392 0.421283584411 0.0512691087289 0.843919420683 0.925630435472 0.149146663797 0.0438283841924 0.906068487141 0.973280147918 0.944969362528 4.64746766469e-05 0.297430803267 0.0607261471893 0.938101519053 0.418065423362 0.683700249837 0.86528045629 0.724674294808 0.68600737421 0.0799804454686 0.54267069578 0.194511058971 0.317433703617 0.470806915484 0.989455694193 0.101357606244 0.0585067516613 0.360803691144 0.732892438517 0.0468972594473 0.394668348132 0.990231505085 0.371543562544 0.890676171964 0.204147533182 0.536565645365 0.688411514793 0.515942792961 0.543324157014 0.09470539112 0.913468718308 0.112596726132 0.894703187714 0.910321450084 0.436951584464 0.30653614866 0.46214754761 0.511661245751 0.760249243755 0.273865948906 0.0544529312325 0.330572847948 0.807903847624 0.759035434131 0.190113702529 0.565507479007 0.250289228631 0.502441488071 0.824912107567 0.319216983004 0.960751627885 0.427038248054 0.258182588287 0.506568830923 0.673784777669 0.50128490851 0.106744056944 0.62476666665 0.629156518854 0.701995622302 0.86431566847 0.00555775602459 0.653659600521 0.347670708663 0.747155894199 0.62073475496 0.302067300045 0.409391367098 0.0671829320826 0.825883466075 0.876355072728 0.839452372031 0.934107942209 0.823758459767 0.658195388146 0.656471897181 0.62453030307 0.564135225495 0.52941279967 0.650004707196 0.84758416685 0.541678160144 0.724207767351 0.724903763611 0.237713443475 0.0342682116743 0.14924634266 0.649567659796 0.459532863296 0.762327636769 0.215262491647 0.897368680218 0.654854928108 0.336095775361 0.043090765899 0.976651312629 0.383920343242 0.0268121027712 0.472893811245 0.513986063842 0.14873616395 0.237265017608 output 1 512 175 248 638 960 272 407 281 79 458 18 495 90 112 508 532 635 484 798 832 995 323 167 873 44 188 651 841 229 514 679 338 363 805 636 313 100 470 921 811 553 264 55 646 195 106 852 801 131 200 256 273 159 740 816 677 956 640 142 128 809 472 400 329 759 355 983 866 652 386 566 162 661 541 927 274 776 729 392 719 336 590 620 418 360 746 138 189 207 19 999 826 968 123 147 890 593 790 140 707 75 425 176 473 459 773 209 258 713 164 824 480 365 86 930 285 239 361 989 714 872 568 260 4 733 337 700 230 571 50 952 769 468 633 994 223 135 85 639 31 595 779 641 378 104 486 858 910 867 731 252 325 117 815 939 243 787 218 547 187 961 371 49 2 536 76 823 507 346 185 659 603 792 686 926 774 604 610 919 369 481 198 291 203 23 199 485 385 457 606 765 419 894 67 34 350 242 657 302 861 637 105 222 627 738 408 820 574 879 253 569 715 396 907 6 417 667 411 440 979 666 554 987 860 847 339 766 127 838 747 416 38 818 655 665 60 634 490 988 755 381 341 228 771 245 235 928 321 944 673 712 59 940 891 982 520 758 401 687 236 936 498 334 849 971 66 479 388 118 924 294 335 654 943 424 257 991 863 695 398 888 165 30 724 316 300 722 57 915 784 647 413 312 518 174 166 487 454 825 433 878 900 492 663 723 529 598 70 289 119 265 324 875 806 405 122 870 908 491 134 572 441 517 630 376 201 82 676 11 83 232 270 881 697 42 923 14 953 383 309 876 116 154 474 601 48 74 581 629 342 438 985 932 500 540 552 745 462 886 584 767 450 80 137 111 126 586 780 120 310 449 432 602 730 949 52 786 557 287 322 966 28 367 278 840 986 271 306 283 751 84 793 854 922 429 678 522 296 177 292 688 32 674 911 213 544 501 406 523 537 643 359 65 141 157 354 975 173 533 726 286 68 903 857 622 219 836 868 54 848 478 914 770 461 672 493 489 694 205 409 692 762 576 282 109 240 182 352 158 504 869 560 268 819 753 443 711 670 743 587 427 990 877 399 909 582 404 851 699 843 893 43 632 736 428 562 308 963 977 567 750 149 524 377 103 262 644 168 301 12 588 172 754 645 648 942 739 821 160 613 372 435 628 880 415 431 499 71 803 702 108 912 808 29 845 447 402 981 996 430 197 284 152 192 345 664 107 7 330 299 280 721 426 78 26 91 937 782 527 379 40 612 682 829 969 650 597 546 974 276 362 594 420 155 288 358 653 364 862 691 768 37 233 718 947 374 24 551 98 515 957 800 817 293 422 332 735 275 446 476 212 830 965 307 403 791 469 625 884 783 464 193 693 161 519 184 871 125 477 69 616 887 684 63 298 22 181 150 247 297 807 980 899 583 436 244 511 621 8 453 898 592 685 905 764 959 196 56 9 938 658 445 954 61 475 170 101 535 234 545 902 496 503 929 781 92 132 439 626 58 833 366 810 689 618 139 844 883 558 73 178 64 333 964 156 254 206 394 343 35 814 46 124 955 16 224 318 448 153 882 180 681 756 559 27 530 913 563 494 94 573 319 795 967 615 145 327 749 617 121 619 115 357 210 17 727 304 788 934 143 789 555 538 812 133 761 13 933 579 705 421 525 703 53 906 190 246 110 81 502 368 238 607 375 220 920 204 822 89 114 25 47 208 998 186 488 865 387 353 874 384 561 889 796 5 748 15 709 191 577 516 423 596 267 669 389 497 88 215 509 171 649 202 467 348 183 570 591 452 716 237 992 662 136 556 77 521 356 846 99 51 151 328 263 778 917 395 211 349 465 146 864 231 835 708 804 543 853 892 266 565 269 460 214 528 839 216 130 599 614 901 331 897 1000 414 72 102 315 97 483 241 10 45 683 668 194 534 96 760 347 945 317 777 624 578 799 513 261 539 958 970 950 251 466 320 885 351 775 675 785 437 277 732 550 326 671 706 303 410 505 600 259 752 3 580 549 225 856 314 249 226 290 391 605 526 701 21 250 734 95 680 925 455 113 837 973 976 742 611 380 456 623 962 741 696 972 295 434 531 129 373 221 918 704 896 744 757 370 93 608 772 397 842 279 548 850 941 412 916 993 451 382 978 163 463 20 656 340 763 179 87 542 510 895 717 227 62 710 946 984 794 660 859 36 482 144 797 802 855 720 725 931 834 311 589 148 935 169 585 444 904 305 831 33 344 39 948 642 217 827 564 737 997 951 631 728 255 506 690 442 390 575 393 813 471 609 828 698 41 1
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0.125074925031 0.389357908055 0.015385938692 0.38115000651 0.467023435131 0.870344352634 0.299647798899 0.762202793161 0.825183654014 0.45581231815 0.225160502854 0.17577468048 0.133913941737 0.391848321208 0.598240652093 0.716635300135 0.308104372779 0.803201359289 0.308714958906 0.749546427992 0.593964791509 0.695270821338 0.505679287638 0.964700518252 0.682450137555 0.599343431778 0.0752113297934 0.54626473045 0.307486028621 0.167562114615 0.213319910277 0.992279242574 0.457396860389 0.839521904384 0.439713891879 0.802289517588 0.503770609553 0.393079362092 0.525701967485 0.428770239724 0.578574412507 0.275465339276 0.369339815533 0.0246235238148 0.505417542593 0.0831170020592 0.029662096913 0.226991663151 0.653115648138 0.201372331994 0.967338764575 0.932205652461 0.576548409786 0.728383881878 0.532345024264 0.253947378367 0.727770790944 0.979678276219 0.403097810377 0.703380455161 0.246279189607 0.597574906525 0.891148505542 0.955157822761 0.12213142023 0.957147265074 0.331979218474 0.85875440624 0.283184760033 0.646136342891 0.0338471812814 0.187214041561 0.840343041758 0.774821248835 0.65526964198 0.237114011998 0.18134110608 0.328697363459 0.253816114793 0.294412347015 0.863521649048 0.643215066798 output 1 986 338 967 244 970 279 379 9 64 292 447 798 138 218 645 29 835 233 630 628 400 32 972 493 738 402 114 699 917 11 889 664 773 133 465 143 662 859 171 805 190 749 188 7 588 275 109 354 582 887 603 937 163 127 470 409 36 486 494 872 272 945 21 495 475 641 446 353 867 776 624 66 638 806 843 651 605 502 585 520 979 374 568 2 978 262 75 902 544 589 717 135 160 677 500 95 195 656 788 489 352 499 877 186 162 429 6 176 269 939 792 824 911 625 243 837 932 406 569 866 609 987 286 339 304 78 783 57 156 289 28 256 980 949 944 110 952 130 574 178 293 319 951 675 145 892 852 427 469 505 984 61 519 545 997 424 55 157 681 813 542 777 67 277 668 60 844 560 4 226 775 851 252 405 487 476 801 86 453 720 479 607 767 841 850 548 501 249 290 799 921 468 393 504 360 904 789 616 30 903 384 815 82 597 620 855 884 213 298 225 869 460 870 68 873 684 401 571 737 803 964 883 905 35 492 610 596 326 311 265 266 561 72 760 650 769 428 667 579 316 270 169 224 81 774 197 280 438 617 140 417 376 208 425 736 112 497 554 734 538 221 77 725 297 1000 735 259 733 416 150 613 703 747 206 878 938 144 455 696 412 314 146 444 313 508 350 586 137 415 819 810 107 167 879 115 101 795 730 103 518 660 100 755 946 601 96 771 611 912 364 372 56 723 583 337 714 430 377 27 636 201 811 754 634 821 253 689 555 669 849 22 54 212 831 13 175 236 648 454 509 274 658 709 812 295 153 809 19 296 306 397 988 943 713 575 413 404 391 472 521 523 278 330 120 98 842 336 73 8 672 740 825 39 756 899 710 180 222 615 183 437 991 382 434 985 15 894 349 83 914 871 315 635 361 857 598 317 996 229 276 91 40 378 141 829 581 16 626 947 344 498 750 394 780 191 450 941 423 566 369 608 335 793 516 540 457 230 739 403 196 254 358 533 20 762 451 76 214 346 466 43 69 189 959 184 706 366 348 323 796 834 507 31 715 439 327 192 99 102 151 166 642 670 606 600 663 97 148 287 53 84 930 467 411 671 549 113 534 271 614 202 513 820 602 584 172 512 955 37 309 373 804 200 604 239 691 281 694 623 794 915 386 10 458 619 880 448 631 557 802 152 875 627 653 111 52 89 408 640 435 687 556 576 154 149 433 126 308 420 63 410 644 452 488 770 745 564 808 121 322 683 164 368 38 41 679 235 223 392 396 484 982 320 80 828 565 503 695 593 765 443 814 981 935 701 247 399 436 860 763 840 264 371 570 263 355 238 301 128 442 826 974 510 375 26 965 622 950 268 139 414 863 673 838 530 999 858 621 718 592 104 895 125 284 422 282 901 524 342 324 918 478 473 23 132 389 182 807 90 205 105 168 612 283 577 990 817 724 847 913 331 779 646 340 33 539 864 3 328 522 836 118 321 846 426 657 525 250 5 173 288 14 562 359 187 698 552 18 856 147 909 59 71 198 511 547 708 742 865 916 481 791 515 341 832 919 781 591 431 942 242 823 690 931 766 528 240 957 922 42 697 881 231 474 12 220 351 629 514 158 868 332 106 51 693 893 822 117 199 432 307 119 920 995 688 461 923 983 885 294 746 532 207 165 563 251 722 637 682 933 70 998 590 759 898 753 506 960 966 441 785 219 50 122 721 181 174 854 123 559 786 312 385 961 47 79 261 440 686 907 652 908 599 768 17 748 711 928 449 936 85 232 758 334 217 906 816 772 632 973 732 459 248 649 383 179 204 665 211 692 362 390 784 861 343 787 285 347 848 49 700 87 659 546 529 531 757 227 234 517 573 712 65 741 463 925 535 245 594 387 365 482 705 485 558 356 882 934 194 580 62 761 129 367 291 209 381 48 896 618 302 380 142 958 910 170 496 751 370 782 93 419 666 124 305 790 818 797 888 678 491 477 729 992 398 543 134 177 940 228 258 975 764 108 719 490 654 900 727 44 550 680 58 273 707 303 876 971 24 728 674 891 833 299 464 255 421 536 661 267 237 215 962 116 333 325 551 743 874 357 726 210 845 595 541 924 526 633 88 471 976 977 74 839 926 702 572 927 853 537 462 954 92 480 483 989 647 407 731 527 131 300 704 45 203 318 744 155 94 257 345 161 993 185 752 456 953 193 553 418 968 639 963 716 969 948 862 956 388 260 329 567 676 994 655 897 827 445 587 310 216 643 159 395 800 890 363 886 778 136 25 578 34 685 246 241 830 46 929 1
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0.382924095451 0.120161175114 0.254138715875 0.548160768662 0.629748954511 0.070489591397 0.942199409539 0.753720810149 0.972072808071 0.30381947139 0.18475813955 0.595435587464 0.353687813045 output 1 912 593 303 894 888 500 660 924 781 234 293 93 250 830 651 212 923 879 278 786 515 725 936 358 247 994 526 123 634 727 901 935 845 700 1000 163 482 118 238 119 127 258 423 195 357 487 414 525 832 97 659 217 966 11 985 324 140 108 298 828 716 978 638 179 761 815 78 522 667 241 708 798 865 686 430 591 213 965 47 364 848 143 991 914 460 323 404 441 533 340 405 106 602 309 222 22 434 260 33 65 907 741 616 668 498 959 733 640 666 124 136 7 611 499 184 620 206 401 174 762 699 790 114 158 43 449 266 555 672 623 468 514 587 808 418 764 373 882 567 363 14 57 622 120 806 943 385 568 925 116 747 971 75 286 532 849 439 70 691 351 758 802 884 336 718 677 553 517 598 896 745 575 649 231 520 663 748 690 957 551 110 769 433 15 772 107 543 201 916 875 248 662 49 846 204 791 836 812 320 969 968 715 767 27 823 590 94 597 684 784 485 239 544 41 181 338 632 953 626 297 579 826 595 276 735 413 207 277 492 480 885 504 564 883 359 746 861 19 841 505 40 581 175 749 55 209 570 80 447 693 96 312 506 561 702 91 147 950 831 990 685 170 37 723 539 477 469 36 866 156 381 425 844 850 290 996 631 736 287 929 881 833 172 473 576 313 819 397 557 141 267 476 737 387 51 876 465 2 87 330 895 619 426 679 750 274 144 331 419 670 869 253 461 131 711 456 58 825 72 406 752 17 628 493 695 224 45 810 6 176 104 5 664 599 731 891 318 310 931 138 864 973 478 704 800 194 992 792 899 29 403 242 261 128 960 977 834 458 528 495 316 371 491 753 948 970 98 862 961 333 322 807 986 751 904 654 315 630 527 444 656 353 311 919 399 61 778 308 560 148 927 922 558 291 732 981 676 870 646 952 842 951 488 12 335 99 956 669 909 605 197 998 220 703 230 573 191 565 675 829 192 530 678 421 697 259 155 648 540 511 153 365 507 486 989 343 633 126 342 813 102 38 552 556 958 352 871 125 692 361 933 890 838 53 133 18 900 972 607 577 26 709 760 370 122 701 947 475 271 913 350 74 182 489 424 265 60 930 164 329 445 227 471 137 77 680 585 782 984 932 872 696 705 563 407 910 281 481 263 411 583 835 232 535 10 246 658 100 722 636 84 627 417 794 46 225 256 740 940 706 967 494 803 997 464 974 56 562 183 237 839 797 9 283 643 586 906 868 608 521 857 459 113 545 168 712 377 509 216 382 415 946 777 783 773 729 707 117 221 180 429 280 142 982 911 285 683 453 510 23 95 744 827 273 134 905 306 502 321 67 534 479 89 578 724 59 66 161 52 689 146 193 28 714 348 178 742 25 897 470 805 614 412 657 809 820 571 490 529 983 653 774 518 610 771 757 721 368 396 954 214 856 69 795 665 508 3 606 245 121 837 346 435 240 35 592 376 393 64 233 391 243 937 150 203 103 400 644 4 928 462 101 671 339 962 82 62 878 85 39 20 90 594 854 326 682 288 886 874 129 979 307 889 145 392 637 642 369 639 851 785 196 16 50 582 378 635 442 804 766 918 305 152 776 811 496 661 713 455 993 536 995 754 31 375 945 436 796 24 92 443 450 801 763 451 756 698 215 257 999 503 728 279 893 325 694 151 44 688 949 559 596 294 847 432 167 165 799 81 645 987 218 546 609 73 344 334 389 955 580 618 408 780 390 349 601 765 519 988 903 902 824 975 295 149 228 269 513 262 483 550 574 211 226 189 822 235 964 252 855 629 604 484 466 88 105 177 779 600 139 867 188 360 821 942 641 111 877 463 186 71 383 787 275 549 199 367 892 83 720 880 157 296 317 467 272 457 898 554 264 109 420 446 198 859 537 963 356 472 30 613 547 840 941 719 154 270 282 431 853 229 717 730 304 63 710 625 452 249 738 726 454 793 341 205 251 915 354 395 185 584 42 398 319 497 976 244 32 588 474 917 388 402 422 852 159 54 863 187 366 34 347 132 603 944 647 372 934 621 314 759 299 548 328 302 674 652 416 524 589 541 410 86 135 13 768 223 380 572 76 687 926 169 162 345 428 860 268 437 887 327 438 379 289 980 788 908 394 512 770 612 202 873 818 254 566 755 789 617 673 219 655 523 843 200 920 939 921 817 501 255 284 332 79 171 112 21 374 440 386 173 160 210 516 384 190 615 542 355 938 775 292 166 362 814 624 8 236 734 858 300 427 569 68 130 681 531 650 816 208 115 448 739 538 409 337 743 48 301 1
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570 816 682 728 284 118 890 353 705 110 17 457 336 113 944 923 946 466 359 505 134 490 841 734 566 162 115 424 172 168 671 916 176 692 658 567 694 129 572 21 987 264 184 650 417 77 997 40 530 811 16 794 252 551 273 631 801 858 321 864 337 643 660 738 980 378 909 556 789 724 976 348 558 559 833 715 396 475 61 768 905 920 306 308 226 673 2 352 294 983 398 722 194 419 504 139 994 315 132 195 577 843 99 68 543 23 70 795 449 506 268 426 827 982 322 931 766 702 970 302 149 266 164 606 331 409 390 888 270 870 845 876 175 98 271 828 332 585 514 185 143 317 853 395 334 908 725 435 835 241 889 432 326 571 537 152 128 568 541 280 674 965 133 50 154 894 209 954 820 847 386 896 102 699 319 534 212 938 192 142 915 229 677 746 523 394 167 904 374 921 670 719 991 767 642 141 153 546 341 757 867 985 999 31 15 953 33 930 609 815 120 729 377 662 516 863 101 234 857 869 595 416 210 653 893 248 433 557 810 447 463 393 964 37 410 289 360 665 626 821 85 160 155 711 122 690 521 555 44 884 121 813 910 943 517 544 274 123 173 119 761 106 589 323 588 830 569 92 755 391 34 596 218 180 298 338 261 862 925 727 565 680 174 156 872 170 812 453 146 784 181 221 661 199 303 871 501 368 839 232 318 826 151 836 443 875 262 531 355 169 586 161 899 959 83 656 358 879 814 193 198 411 563 664 407 803 245 840 367 489 913 897 52 482 742 901 277 30 919 49 97 282 714 802 797 648 203 5 745 124 628 807 649 39 580 442 700 805 917 873 201 854 882 547 400 666 237 646 868 340 494 73 388 952 583 67 91 230 996 620 90 458 320 934 389 859 434 347 891 376 225 370 618 553 672 601 314 437 57 561 383 108 949 793 927 11 472 990 476 375 349 51 846 35 6 80 937 86 911 74 465 96 989 69 758 851 171 704 751 689 933 53 713 600 633 423 527 487 425 510 995 885 764 542 75 804 834 769 344 216 109 732 716 215 877 900 328 932 238 330 898 627 278 880 255 518 481 385 405 242 986 513 325 63 486 966 526 29 259 47 548 239 926 446 415 188 844 444 165 855 495 683 540 749 848 283 309 438 285 224 116 535 955 488 59 637 48 945 752 866 3 12 525 231 157 604 105 88 440 103 763 817 961 499 307 78 480 436 324 520 968 95 279 19 503 849 478 200 967 774 747 474 865 413 346 616 676 712 593 718 219 414 698 354 799 202 14 644 837 459 522 71 981 529 759 41 613 622 387 178 228 445 655 782 638 612 402 599 806 54 902 576 947 351 918 594 430 770 56 327 379 686 703 924 726 979 992 560 511 772 131 460 223 735 399 629 335 439 254 912 293 64 213 207 668 914 886 657 701 421 791 625 615 977 81 771 951 114 295 783 573 462 617 697 809 329 177 707 263 454 247 301 363 978 651 461 781 333 483 22 974 941 428 929 211 635 13 582 281 829 825 441 275 743 988 623 364 382 372 148 750 785 471 515 832 58 451 491 903 206 87 590 256 831 112 602 222 984 675 575 696 18 935 861 408 493 179 498 258 659 634 685 373 8 208 798 963 579 82 532 856 942 748 688 10 538 838 693 304 288 730 60 762 574 272 733 760 310 286 936 562 345 883 267 312 822 779 739 28 291 928 823 300 412 753 971 717 361 186 640 448 469 24 972 369 630 191 144 663 455 592 587 874 250 235 452 709 253 528 892 720 356 973 84 384 621 46 420 639 850 950 404 479 776 614 32 418 127 381 422 780 290 645 55 464 754 240 667 145 9 737 243 1
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441 191 838 926 297 705 117 768 906 954 987 608 521 137 144 852 847 111 774 528 416 181 702 28 947 641 779 848 96 14 307 350 590 682 699 739 636 394 334 661 845 368 365 145 516 909 982 806 512 119 511 500 650 425 239 983 622 218 99 609 610 646 821 917 216 918 515 751 680 801 649 87 373 660 599 594 897 555 318 524 451 887 811 304 914 710 457 588 510 573 324 996 911 444 401 922 405 786 939 882 362 738 120 862 263 837 176 908 236 535 503 178 417 196 559 823 695 75 765 892 364 161 819 290 572 146 598 993 113 280 316 943 902 618 937 736 638 856 763 159 132 714 658 561 477 429 502 880 200 675 135 379 296 533 657 367 460 575 479 327 577 278 55 134 32 809 52 399 972 833 359 410 969 89 863 637 136 238 627 147 602 767 712 149 664 252 420 370 204 620 250 873 185 552 38 217 174 452 567 59 793 193 648 480 103 78 148 6 123 127 780 890 322 708 213 302 86 387 719 514 592 707 484 558 551 281 337 279 492 693 593 554 133 615 335 840 864 965 643 251 506 501 585 5 63 596 402 282 772 392 859 623 526 415 272 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853 340 376 764 611 851 463 150 788 874 550 718 220 997 912 534 910 39 655 43 404 167 58 933 438 587 72 229 949 380 900 214 349 436 836 10 617 188 13 854 574 346 839 681 827 542 632 15 450 151 474 386 652 666 253 520 956 855 221 562 556 858 625 426 634 459 581 351 548 33 732 591 74 849 361 979 896 283 266 125 105 724 812 192 66 57 565 85 101 600 885 633 803 395 202 243 464 393 766 276 320 82 888 691 406 992 805 27 418 656 422 894 47 507 126 407 731 108 814 597 850 531 971 71 198 582 261 116 183 273 142 248 919 382 639 713 428 258 461 662 314 257 313 706 545 746 107 50 339 895 91 184 483 522 154 92 138 156 899 959 246 560 338 686 397 419 697 22 799 770 747 532 288 388 336 4 667 360 173 60 168 505 312 758 354 345 300 211 485 128 924 497 358 496 517 539 76 448 175 614 199 244 889 488 644 741 981 870 757 424 991 647 434 391 745 129 152 744 490 344 995 826 473 190 677 688 453 948 77 871 310 683 678 701 61 616 544 990 411 958 79 226 165 916 437 816 228 571 722 332 207 51 963 298 341 807 80 430 601 773 331 348 205 905 952 139 508 440 970 264 857 186 333 319 390 784 305 93 834 668 8 412 197 95 635 475 153 160 83 171 233 999 761 940 679 795 1
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408 103 946 943 568 447 662 555 609 391 146 804 640 493 32 906 999 845 386 102 41 865 198 972 681 591 3 400 517 502 269 579 994 716 469 148 831 911 562 93 733 173 719 427 465 33 998 376 114 25 195 898 730 992 211 745 239 12 798 125 499 226 655 712 445 970 207 84 753 422 668 209 954 58 175 94 202 60 317 574 459 64 283 286 73 138 780 20 768 742 174 631 859 536 28 890 9 250 790 772 528 26 882 940 423 995 384 398 463 867 157 13 509 625 414 59 894 665 575 891 922 150 511 598 822 885 2 109 870 585 337 242 856 554 159 748 976 369 78 232 980 638 912 734 415 614 405 896 524 335 36 966 924 573 601 727 208 393 374 183 154 258 643 561 213 346 315 189 836 941 474 558 496 580 746 688 83 338 873 877 749 812 504 212 396 915 321 848 670 953 635 611 737 370 515 648 412 588 430 680 50 914 565 21 819 461 702 358 303 936 390 544 743 352 854 862 438 267 642 795 431 388 889 630 851 641 291 34 290 394 186 323 617 658 191 531 645 843 767 184 775 453 685 705 827 257 288 56 155 996 176 619 227 468 163 287 441 973 88 958 599 682 80 331 576 747 89 126 11 152 304 262 24 229 289 988 607 256 38 310 192 916 883 40 272 700 224 486 671 639 343 365 133 477 792 669 892 92 675 293 254 403 318 608 729 620 462 243 230 776 487 147 698 791 7 535 904 170 521 887 219 981 841 666 249 223 442 411 297 473 553 612 110 864 1000 220 519 545 633 512 646 937 77 62 971 295 137 802 899 151 407 248 711 161 491 61 54 235 875 351 281 708 810 130 345 131 740 984 547 113 371 628 615 778 784 927 530 190 336 823 760 65 419 460 387 488 881 880 770 945 115 741 720 578 510 589 449 807 329 480 233 17 541 933 124 692 117 410 455 626 758 939 901 582 355 913 218 983 755 560 366 382 539 439 997 514 690 265 667 726 306 930 928 231 895 44 136 967 844 857 581 37 868 944 389 495 86 762 132 978 815 759 266 789 484 703 534 123 112 482 417 357 610 302 950 246 16 127 739 71 489 969 90 260 714 316 340 934 350 735 567 503 377 418 203 277 238 217 363 963 956 121 48 31 397 993 210 425 204 602 799 139 977 426 319 67 450 920 962 903 818 275 879 153 451 793 381 979 481 308 326 312 684 30 564 359 526 63 566 664 79 577 508 158 236 551 884 237 193 406 788 657 494 81 787 434 334 328 392 596 647 587 327 107 866 19 909 847 824 165 821 222 206 180 677 955 111 952 987 728 332 858 661 656 8 99 177 948 621 704 470 305 108 456 932 69 253 654 276 863 201 215 921 781 171 42 368 74 367 292 919 840 118 429 717 298 968 167 805 533 311 10 307 660 960 653 974 76 348 285 144 105 404 82 722 98 70 649 543 814 838 809 409 931 629 774 594 413 101 4 806 85 908 471 786 100 651 187 142 965 402 179 652 399 68 270 546 301 699 900 761 991 18 255 550 472 942 448 679 446 294 185 216 725 395 829 538 341 897 116 435 697 959 689 559 464 773 929 129 273 627 990 149 160 169 756 709 458 527 769 467 563 902 342 813 707 247 344 905 196 871 817 989 982 271 507 606 605 837 797 43 27 443 141 162 497 49 624 200 354 378 57 245 842 168 205 361 595 506 313 853 122 766 178 353 826 597 849 322 251 22 951 663 825 505 723 309 457 6 383 785 694 347 852 375 532 279 444 523 39 135 622 604 513 674 119 794 691 181 644 45 713 199 925 975 803 29 87 143 91 72 164 55 672 548 522 632 846 706 296 478 860 650 593 498 436 364 659 676 777 261 613 1
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11 23 695 426 884 269 611 601 491 996 438 296 212 806 522 241 708 750 149 960 691 959 783 536 833 107 81 406 771 418 439 385 497 673 968 980 729 661 139 295 156 256 301 563 346 700 895 494 807 657 197 391 82 83 457 333 513 999 605 969 39 850 623 897 977 941 706 180 421 400 784 561 586 20 343 599 115 505 636 196 222 469 475 614 312 949 291 858 778 273 313 328 674 537 686 803 752 431 924 456 953 785 743 970 257 868 760 258 518 76 664 551 143 10 631 618 263 331 795 509 373 603 867 42 928 678 525 407 906 557 802 520 639 840 745 545 792 365 713 98 417 414 988 135 724 111 100 757 958 950 908 838 344 462 938 332 351 425 37 145 635 276 955 976 533 651 55 361 770 982 905 578 200 572 293 437 619 69 552 334 767 933 912 544 683 721 463 372 923 831 940 177 31 483 641 626 118 413 232 171 103 28 192 624 504 531 707 510 524 362 119 94 321 921 659 665 591 492 481 106 423 335 141 382 773 208 234 997 236 93 696 490 275 186 299 32 8 233 336 967 741 424 214 412 329 541 739 272 187 202 242 231 521 138 5 564 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265 145 729 463 871 990 142 939 123 639 14 999 956 883 392 611 771 662 553 984 701 962 837 160 92 36 992 551 256 385 641 485 4 631 518 885 749 695 131 344 6 978 322 862 853 345 791 194 569 787 717 504 700 541 272 810 355 708 911 86 783 24 257 41 866 360 304 221 8 674 174 280 870 116 666 559 672 502 229 737 362 352 983 319 720 996 129 972 836 208 686 626 141 179 49 64 867 239 312 275 162 663 399 58 57 122 349 785 760 581 34 544 755 623 498 228 780 438 784 636 974 453 400 494 529 656 682 833 941 398 12 801 895 180 552 638 45 754 798 706 602 32 269 634 616 97 479 365 439 711 692 947 212 139 645 779 648 689 654 924 926 135 709 233 846 323 155 420 574 818 274 178 42 238 258 620 716 707 756 23 73 538 357 67 820 261 813 425 955 354 7 40 450 264 961 769 718 571 15 621 35 725 21 609 112 591 235 817 796 165 484 834 308 281 134 901 480 276 133 640 773 431 842 827 515 676 851 487 205 526 302 793 203 366 106 759 507 497 509 175 50 904 75 590 356 788 109 693 470 607 576 605 374 723 768 299 368 226 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666 657 32 714 787 930 289 458 300 175 799 464 230 436 234 318 899 925 573 17 695 849 131 771 461 727 407 911 429 340 359 585 641 156 722 42 863 711 675 855 406 472 865 660 831 159 812 933 26 491 637 34 841 157 807 47 606 75 530 923 241 717 264 515 134 967 708 160 910 93 688 168 716 981 263 252 786 935 330 85 392 868 232 803 302 313 97 776 655 848 785 646 454 7 706 947 449 906 512 732 327 731 896 835 446 510 546 63 488 292 418 520 376 437 333 770 499 397 654 522 603 542 456 659 127 837 945 991 514 905 352 974 549 990 494 226 76 509 691 381 949 821 736 236 309 922 575 631 1000 640 788 394 532 729 329 478 188 299 417 254 962 820 84 853 339 369 22 595 186 760 670 270 553 25 320 951 261 772 918 18 980 519 56 824 273 743 773 427 937 684 21 712 198 90 506 882 153 438 692 550 147 793 554 255 880 495 928 747 539 503 658 701 389 5 217 664 958 280 984 941 452 415 303 888 55 114 973 744 179 413 555 8 750 182 635 594 324 916 402 321 176 49 940 343 286 450 92 570 572 469 404 839 2 393 602 104 419 795 800 479 663 207 59 950 399 639 338 12 517 475 780 699 709 465 518 459 545 496 421 480 685 275 305 700 266 857 211 871 227 507 954 474 371 992 163 898 805 466 201 128 216 391 611 907 730 975 311 194 409 290 170 524 961 414 671 689 742 196 99 970 842 965 294 453 537 679 525 756 523 48 634 644 101 222 37 351 952 946 737 814 164 851 997 765 155 694 557 346 30 38 956 779 811 297 148 149 209 483 864 609 108 797 822 763 16 802 89 319 858 467 636 781 336 434 566 62 618 862 36 284 873 138 876 116 229 924 942 430 322 295 272 374 451 69 624 401 964 894 151 983 412 633 332 552 386 91 748 728 836 33 240 173 360 798 140 531 77 113 875 813 751 698 141 943 316 806 589 231 31 944 457 79 808 979 963 881 938 782 908 205 769 968 379 597 999 556 833 982 298 487 443 746 87 948 723 598 764 213 350 678 667 879 81 919 54 10 177 586 904 6 921 897 187 124 366 470 347 247 378 462 363 669 202 253 103 95 608 886 105 237 276 60 102 271 929 977 161 681 74 643 120 125 357 433 482 971 167 246 23 174 39 315 767 902 650 766 219 627 516 112 345 501 565 349 574 648 562 497 584 601 490 591 615 489 605 225 484 614 432 987 909 690 51 154 561 854 834 477 463 850 768 171 249 596 233 629 172 783 569 277 256 27 819 40 734 71 972 181 845 926 626 282 628 588 726 178 838 242 866 372 934 674 441 258 439 610 3 380 224 285 239 498 998 578 383 917 920 306 67 745 58 64 564 328 323 687 342 493 143 152 4 502 860 794 567 790 78 571 959 754 35 52 348 901 442 228 310 993 373 281 70 473 617 66 505 146 653 50 288 368 115 856 656 208 382 166 985 123 823 410 604 870 375 486 353 245 118 620 326 513 642 892 543 183 753 986 912 117 796 676 801 388 508 568 874 844 244 599 448 269 846 869 238 405 720 889 204 184 625 158 900 705 718 913 528 301 169 53 931 847 94 893 825 195 809 861 579 826 73 883 927 645 547 15 859 411 761 45 424 364 390 887 304 792 403 325 267 721 86 613 758 878 139 535 192 960 521 144 804 29 268 197 385 384 500 362 291 355 630 527 278 707 590 121 122 651 425 61 581 665 661 370 978 190 28 80 622 367 109 647 810 274 335 293 741 185 344 890 250 447 341 703 559 755 180 632 852 686 600 704 492 533 1
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480 19 987 479 72 32 804 239 199 860 17 120 862 536 711 140 997 475 63 995 241 864 852 55 388 867 290 482 886 146 700 794 444 740 7 837 360 64 319 376 442 43 523 567 452 897 738 710 850 301 901 450 617 49 180 341 407 431 158 119 278 721 814 957 141 443 775 110 973 91 412 399 209 941 632 496 75 59 586 384 841 566 201 46 393 969 90 353 545 816 57 267 395 585 798 207 311 845 899 619 895 580 563 691 614 945 130 607 889 288 304 909 818 735 688 252 8 365 881 970 374 649 213 76 519 656 293 588 974 309 409 389 314 336 849 802 445 766 102 456 741 14 424 406 597 650 708 261 15 646 420 955 115 951 287 589 754 274 299 626 472 89 371 971 746 980 295 923 892 540 257 956 604 170 181 915 457 111 300 771 103 648 143 20 907 953 535 441 932 250 116 359 736 612 148 271 439 88 187 9 56 58 446 381 846 162 517 637 679 643 777 707 31 137 733 242 670 934 712 471 823 410 255 27 922 627 933 243 136 582 774 830 624 961 196 921 727 124 827 3 558 379 68 570 296 22 592 152 758 94 605 506 664 873 454 900 77 335 149 433 171 935 398 562 912 259 95 875 678 865 332 238 660 138 668 305 515 724 813 549 426 262 596 669 133 447 824 751 253 965 988 623 537 714 652 189 84 186 591 292 160 159 572 644 498 848 481 829 608 925 30 166 225 224 21 972 996 153 511 981 620 613 661 651 755 942 952 552 468 469 663 310 67 622 413 277 344 367 337 142 394 500 118 882 345 938 767 516 531 764 272 917 212 781 202 631 640 279 510 240 377 698 532 919 85 701 584 878 594 357 693 676 362 947 587 667 843 285 491 788 834 188 609 83 228 461 992 772 851 822 364 79 44 484 60 943 135 343 926 780 765 291 739 419 682 904 920 352 107 177 210 402 979 625 936 327 793 349 320 54 595 927 396 400 505 403 81 975 977 355 930 200 106 501 334 368 683 944 48 28 139 80 129 270 486 633 131 221 108 902 800 809 796 414 879 191 982 768 437 759 639 753 504 518 477 156 218 905 636 704 205 603 397 784 713 606 513 39 723 610 65 273 779 176 421 25 350 731 720 887 318 229 742 490 805 404 415 526 940 966 169 728 211 33 790 745 66 298 844 167 839 876 40 6 885 730 405 372 286 465 574 276 815 522 41 416 546 986 719 460 126 906 672 383 645 717 948 203 194 378 983 478 658 5 599 264 840 671 722 937 761 853 321 854 493 689 857 838 100 52 590 593 348 647 220 489 544 916 743 786 145 890 776 418 2 206 428 665 831 488 178 175 182 950 425 737 375 530 502 687 463 467 10 553 729 113 163 487 541 70 769 525 799 192 435 984 35 744 361 638 45 514 836 71 37 616 690 307 910 716 560 422 871 847 792 12 470 967 128 913 190 11 23 93 82 325 578 884 466 251 283 451 677 34 762 797 476 692 598 557 964 78 993 968 896 750 154 330 36 265 976 144 294 222 601 749 236 281 329 576 653 868 313 801 436 258 694 233 423 347 61 958 401 123 134 928 990 237 808 247 173 244 507 554 695 946 872 763 151 165 246 861 226 366 429 539 812 455 600 184 718 543 492 157 791 702 217 826 583 998 185 991 571 97 427 322 842 215 963 883 869 949 114 342 331 699 855 534 308 866 989 817 908 448 121 499 874 147 231 681 548 903 339 26 985 615 256 559 569 579 99 132 38 92 179 86 380 248 234 954 297 568 74 494 13 249 654 732 628 859 685 473 411 155 386 204 833 547 219 1
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836 749 840 396 567 173 186 60 228 587 436 21 881 377 558 997 386 401 219 260 731 417 696 143 156 150 283 125 273 608 823 501 152 123 582 622 450 586 408 981 602 72 769 453 217 872 710 560 146 138 161 879 362 817 303 299 849 534 189 242 922 908 517 37 570 432 884 589 402 265 768 573 934 505 342 467 376 728 355 100 437 462 167 38 301 369 194 995 108 347 543 642 407 388 640 133 449 867 782 339 772 859 629 702 902 748 920 671 673 43 157 635 53 337 187 529 5 521 23 609 499 397 892 175 654 208 675 77 578 967 857 411 555 583 974 287 20 987 626 882 684 48 61 727 249 664 528 18 808 343 885 118 359 74 816 372 278 653 302 140 335 926 452 409 861 196 220 940 482 915 456 797 952 103 619 313 12 434 224 36 847 577 580 945 493 480 52 955 127 783 512 853 795 15 172 19 624 612 798 110 886 259 93 978 682 281 630 170 814 98 85 192 420 199 990 584 222 980 745 293 725 824 378 687 986 448 554 424 91 947 120 688 667 51 766 470 870 765 274 720 519 10 383 846 735 544 950 350 159 428 901 656 144 294 304 491 844 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561 921 623 668 12 159 862 964 329 920 326 358 342 700 969 834 609 709 649 759 80 732 910 880 62 539 18 809 528 521 116 678 938 755 574 535 153 814 563 738 15 719 572 931 602 701 99 307 141 48 24 319 196 658 513 981 148 189 31 763 511 824 747 186 735 567 184 375 935 624 768 227 764 789 977 399 387 615 451 717 554 543 433 544 614 970 706 34 466 901 371 685 221 370 828 39 878 749 705 52 443 973 8 787 295 857 365 541 860 929 959 111 137 127 551 276 359 822 313 205 956 724 293 300 851 393 477 960 958 597 871 264 831 462 344 232 711 560 135 881 657 36 310 257 978 791 680 902 858 514 452 830 966 564 633 967 843 891 397 498 267 219 421 220 388 702 218 252 856 489 481 260 51 480 222 976 486 636 841 75 259 201 278 406 586 771 704 827 366 384 918 571 64 556 243 331 194 499 559 733 765 914 88 149 760 441 241 838 61 744 816 669 90 794 372 552 450 745 608 751 542 693 628 930 202 594 648 27 37 500 842 877 993 520 185 333 146 568 639 145 328 806 321 238 684 156 501 525 495 422 446 6 811 420 714 781 172 41 473 355 681 261 457 250 892 305 258 734 475 214 890 228 826 275 471 557 589 134 577 631 81 263 155 124 409 253 203 86 383 790 654 682 540 470 160 939 20 447 927 569 660 962 801 316 130 592 100 952 947 404 872 548 94 96 585 301 233 753 428 380 418 190 423 56 850 741 188 643 346 596 950 332 710 1000 873 180 129 690 600 641 58 87 527 488 166 640 47 907 813 965 882 113 133 928 74 312 992 33 314 60 436 340 999 298 493 835 429 932 647 666 588 209 484 143 70 903 142 968 324 799 504 318 536 595 840 327 245 943 26 334 251 986 248 161 78 297 229 575 291 150 304 308 961 13 175 671 43 234 482 576 866 198 562 170 192 995 469 767 550 356 158 14 292 900 25 299 317 126 7 627 884 455 761 93 178 144 2 855 118 985 691 987 274 17 38 699 216 167 440 345 933 449 661 989 303 625 626 758 632 925 951 897 836 362 425 147 98 616 294 439 69 16 152 309 55 675 224 591 395 545 10 672 807 40 339 442 354 208 756 507 459 226 394 369 465 467 97 376 279 534 942 665 412 934 217 431 225 510 131 773 886 578 659 912 154 385 283 825 998 437 663 984 937 899 797 485 112 239 782 330 494 662 708 774 579 607 122 402 945 762 922 957 859 913 620 723 162 272 642 523 68 618 516 707 341 844 427 19 114 386 506 49 800 584 413 426 637 713 629 3 419 168 435 415 496 363 593 611 808 176 479 9 35 645 302 712 634 529 795 742 612 599 515 703 582 697 695 879 720 833 491 996 28 849 638 553 549 215 963 655 492 919 405 531 810 461 454 770 468 444 590 407 352 30 265 876 54 555 286 240 396 783 11 323 817 847 772 502 84 65 410 852 837 778 120 235 349 940 893 889 865 754 42 630 353 522 728 883 165 769 377 688 242 949 796 746 306 698 802 650 287 91 325 716 619 730 674 784 453 311 401 566 108 677 244 909 610 526 32 721 206 869 941 683 230 197 382 411 22 887 67 766 269 948 336 917 875 66 517 936 670 664 360 652 438 379 946 915 164 853 59 430 403 547 861 944 255 367 381 474 779 788 400 177 268 281 44 115 656 905 338 505 169 207 390 583 414 151 673 757 71 103 743 136 805 4 667 262 532 79 777 546 350 953 570 107 803 23 231 424 829 392 110 109 50 408 45 389 139 378 472 247 863 854 955 140 296 538 211 864 679 347 77 971 651 792 1
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364 113 824 533 953 627 848 69 605 7 862 296 126 356 351 720 51 685 814 486 519 118 130 788 855 117 965 625 667 632 754 759 656 201 877 385 840 595 701 897 926 935 924 395 666 267 977 171 544 687 341 969 18 82 407 865 757 144 671 825 726 135 512 339 651 830 715 253 482 192 9 716 372 236 238 899 205 805 802 257 252 338 154 747 209 655 980 756 340 471 548 377 124 571 60 799 195 106 591 409 907 532 232 917 680 573 699 75 931 234 510 129 444 513 769 123 308 456 708 929 388 148 309 32 846 703 405 789 72 5 559 360 67 25 740 450 884 352 842 199 120 517 593 483 894 1000 782 480 408 626 191 606 797 871 815 79 70 638 419 190 365 672 394 301 311 919 116 920 454 660 729 300 647 554 404 959 136 673 594 494 531 888 618 59 240 10 337 783 281 35 900 478 428 553 674 411 682 400 874 19 334 12 774 599 459 355 941 770 244 572 222 588 566 415 227 925 857 255 780 712 983 583 363 431 817 574 24 765 992 890 863 251 273 481 705 665 384 8 176 856 861 582 514 422 505 913 909 998 451 764 254 28 406 189 99 321 268 146 121 397 242 921 962 380 610 401 560 942 262 696 250 71 313 936 464 81 353 249 425 15 719 619 741 258 538 766 835 587 535 875 336 150 731 449 378 529 930 357 436 455 247 434 986 989 104 461 684 318 245 601 734 841 76 138 912 796 283 984 540 183 366 43 386 851 168 50 361 515 923 398 303 698 350 86 904 468 508 276 536 177 546 525 551 823 20 96 550 241 271 447 693 957 630 794 658 503 968 326 723 310 314 370 683 767 643 13 798 439 631 329 908 792 284 974 844 905 866 467 964 586 429 48 40 838 322 441 21 387 412 637 967 114 145 881 180 704 208 826 902 634 260 991 469 979 218 29 147 344 549 807 916 657 739 675 62 490 485 970 109 895 689 402 791 256 473 381 955 990 173 686 949 545 901 101 579 781 220 202 971 414 6 746 92 556 576 16 448 988 755 879 383 882 14 277 922 608 203 915 345 760 442 526 487 304 297 288 896 954 376 537 200 995 379 982 557 728 88 493 702 445 4 34 707 973 945 604 293 502 374 518 265 231 320 876 56 978 690 235 985 511 580 91 427 649 662 139 523 330 928 305 496 927 22 542 527 57 197 950 828 850 270 785 54 248 460 217 286 112 66 102 119 598 539 570 294 727 149 312 110 787 219 27 11 843 420 744 669 933 853 125 335 860 103 801 695 501 584 578 316 324 413 831 622 237 430 558 158 342 859 307 944 143 776 224 893 393 603 617 653 346 692 333 839 416 772 607 204 938 215 164 279 424 499 613 166 89 972 167 289 880 359 403 223 298 914 616 524 269 152 90 266 661 663 528 327 477 122 163 956 323 239 812 779 476 809 697 182 963 194 491 435 869 775 652 391 285 170 670 41 777 648 813 753 437 818 795 212 259 462 849 214 834 725 987 646 706 596 681 105 432 612 479 521 472 458 497 961 749 678 585 187 981 23 65 417 837 520 700 226 903 644 492 534 207 628 44 654 328 137 302 319 748 530 804 762 870 676 786 581 349 155 742 868 131 898 552 94 738 495 597 887 771 37 488 39 127 193 563 399 758 724 274 3 498 910 134 64 55 709 650 42 95 710 93 159 68 735 457 299 108 621 577 325 142 845 107 615 918 609 97 315 976 575 750 873 947 778 820 282 635 421 934 997 885 996 317 867 463 948 264 718 691 891 373 878 592 85 278 939 77 161 833 162 993 864 886 714 640 892 31 541 564 659 141 465 677 53 83 306 470 184 2 624 1
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86 333 699 678 315 98 723 950 982 252 500 631 999 165 620 108 993 224 128 794 344 462 27 30 356 506 458 2 219 430 768 259 151 610 208 954 622 343 32 734 244 34 206 117 547 837 314 245 271 822 841 780 880 296 677 45 509 944 608 921 512 23 627 927 410 101 295 710 598 439 815 474 88 816 771 264 426 201 798 495 280 48 283 125 37 388 745 284 918 749 920 914 870 417 319 297 127 424 149 775 251 755 940 551 503 866 683 191 447 181 394 772 379 654 290 355 175 38 119 563 438 337 232 560 187 257 948 5 730 432 667 735 537 567 939 33 141 95 246 543 62 558 360 428 623 716 352 307 580 324 484 847 566 471 239 1000 207 801 644 195 469 873 901 738 253 917 874 10 906 52 694 888 80 210 329 818 803 176 785 308 594 305 381 904 761 527 435 737 85 304 673 477 767 102 274 705 698 21 211 260 154 938 415 983 285 575 89 14 54 55 597 709 258 933 890 572 286 655 79 905 995 520 215 231 217 167 501 156 15 442 988 476 864 586 489 980 612 429 323 193 109 977 372 732 664 494 956 164 603 502 838 205 588 135 384 243 961 637 946 81 756 390 777 12 781 805 43 881 951 762 443 867 744 693 714 584 236 145 791 177 828 359 630 989 93 482 549 585 25 643 437 542 370 688 114 389 16 593 465 681 659 960 407 173 276 692 446 601 928 63 327 878 420 523 203 209 366 202 150 411 606 647 763 711 20 760 957 237 624 964 616 123 122 526 47 727 401 552 810 797 715 521 916 18 670 488 640 431 147 774 350 486 653 900 170 272 74 460 49 701 275 138 325 168 222 746 990 289 754 583 262 496 140 896 321 684 932 779 282 895 799 511 510 179 115 419 807 230 294 120 915 387 962 840 265 868 883 249 408 398 455 820 855 82 19 648 331 539 750 564 736 926 997 790 561 752 879 312 557 254 216 857 949 544 882 248 985 423 649 358 853 116 638 383 955 966 555 316 629 448 804 491 903 227 132 144 712 17 814 152 22 765 380 556 334 577 220 130 463 731 720 242 924 669 968 322 893 418 188 708 913 139 876 4 656 131 856 625 353 570 759 40 665 339 94 178 362 607 106 310 183 338 281 741 770 288 73 849 726 317 189 576 898 974 618 548 457 865 121 943 268 891 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713 418 107 381 479 379 434 10 587 732 251 853 97 910 858 523 815 687 929 649 77 746 782 865 748 161 561 788 80 353 369 678 566 209 911 312 672 119 218 660 693 57 915 921 49 398 459 640 912 35 983 572 802 306 804 431 246 822 567 704 509 558 69 397 439 997 375 83 141 151 747 170 33 872 233 292 588 691 970 758 252 406 771 553 291 480 568 533 301 129 850 225 482 447 483 419 332 196 257 514 278 436 180 380 144 938 250 949 310 162 342 104 114 455 157 605 285 825 178 621 763 998 797 697 189 193 618 932 201 800 496 386 575 124 125 48 527 318 430 974 122 740 685 940 56 943 448 648 25 738 650 334 27 183 674 728 146 121 153 868 962 574 961 988 486 333 889 293 103 559 219 249 694 37 173 643 240 654 696 309 94 840 945 789 194 761 399 371 245 330 979 772 787 149 337 757 890 127 626 145 543 810 936 628 937 400 423 73 26 821 414 703 647 972 609 639 294 415 666 671 569 53 181 307 663 513 882 472 111 82 982 638 978 184 878 606 861 505 914 85 980 863 539 698 767 594 989 854 66 458 867 597 274 340 36 108 711 924 765 316 160 16 901 563 429 953 790 123 205 350 65 876 834 177 497 424 992 848 364 433 681 759 544 844 784 584 32 745 308 243 798 675 986 222 730 295 166 79 221 540 449 702 783 967 190 955 601 946 238 954 893 362 311 927 335 613 485 930 17 831 852 816 259 492 242 655 203 357 155 846 624 87 752 67 642 841 279 368 535 467 493 851 402 600 408 796 2 807 55 528 269 494 512 99 51 633 814 554 64 12 454 171 616 13 253 391 741 517 478 578 864 296 891 165 793 964 935 256 445 608 237 991 462 366 811 999 228 688 392 632 39 942 276 610 829 432 570 234 903 156 994 857 842 443 941 925 944 363 585 328 537 96 405 661 338 725 373 411 916 586 875 519 463 495 81 684 395 630 958 659 143 590 596 464 531 809 960 689 913 477 904 668 86 581 413 182 670 636 906 213 50 204 662 331 101 562 137 3 326 475 902 297 984 266 438 112 859 871 996 148 710 52 277 90 313 744 733 803 18 894 971 518 322 435 139 465 159 490 770 843 262 76 963 592 236 637 499 40 396 580 303 356 614 828 420 258 652 753 856 524 546 749 422 529 766 764 327 232 583 880 557 169 504 192 323 476 260 855 208 241 387 686 179 498 522 113 503 239 14 993 773 267 283 715 470 552 95 207 440 939 705 849 780 933 441 508 394 720 877 220 195 976 200 521 270 388 474 718 731 726 887 593 382 658 918 389 248 384 555 403 378 407 197 677 487 750 383 358 45 679 142 60 416 140 427 365 812 135 489 874 899 273 93 288 754 502 714 900 886 1000 897 20 105 549 280 550 536 791 907 488 987 950 230 6 873 265 152 254 692 990 116 354 304 717 4 530 377 202 211 341 623 255 46 742 244 965 58 89 325 708 158 131 24 895 952 542 120 186 23 651 923 669 84 667 683 360 172 769 805 866 905 870 442 879 656 682 832 324 134 138 892 425 199 457 526 217 709 466 15 319 417 676 345 163 68 385 545 226 615 315 317 966 21 673 128 599 837 188 719 565 799 795 909 862 888 132 75 975 109 287 78 359 9 300 461 450 922 736 348 801 737 437 5 548 42 290 860 582 926 560 393 191 212 54 453 845 806 150 573 541 261 847 347 956 224 775 917 336 38 469 100 931 619 117 534 646 833 776 564 343 576 321 284 98 777 61 768 968 71 786 409 896 507 948 168 707 7 41 995 22 641 819 456 506 1
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0.827134857194 0.0921433205073 0.756374743685 0.0500230574348 0.928270622001 0.708918712225 0.249443259791 0.359214723334 0.0362986090443 0.449140743808 0.694602881628 0.919936448271 0.0351836904645 0.53049772593 0.527383371088 0.76546556361 0.517143142451 0.00639971156159 0.332969117316 0.0280443450817 0.824563037106 0.861759293642 0.937748931459 0.794321624324 0.172544695539 0.177173614159 0.951781485267 0.633608573288 0.719758941124 0.502330311779 0.58559254683 0.826856099342 0.476136237708 0.325051251715 0.78858757424 0.772837319301 0.740179430702 0.0215025188649 0.522136945445 0.618489039355 0.178095224228 0.310862153155 0.597358417023 0.234638869526 0.491463183784 0.327625378006 0.19258430009 0.0829775830853 0.575001701804 0.331022135627 0.811296750031 0.40070195386 0.625971714397 0.568256595744 0.408391214311 0.670365630205 0.622405631272 0.055805627805 0.80717762562 0.256311625126 0.198328855429 0.401016083132 0.479398807661 0.739019882369 0.309885913603 0.329441032957 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0.0675407721438 0.430559717639 0.389562943714 0.494278355038 0.344465510932 0.697831387432 0.0424033749781 0.608116067676 0.0819399895749 0.492743765846 0.320113195432 0.237006578455 0.174931696982 0.87017103656 0.250790228309 0.334492558238 0.572288900606 0.337977525218 0.910551861665 0.237461333305 0.392767837989 0.600832544221 0.372103872402 0.702778125515 0.648853108427 0.171772002776 0.587484458658 0.617260264008 0.838443929484 0.484374420521 0.514339175198 0.634843659715 0.618369076169 0.249591123063 0.266275511606 0.857073521628 0.598693674118 0.45025022712 0.13787157722 0.489397668681 0.183608047184 0.763567630105 0.124588582635 0.641117055971 0.452397331336 0.93222944914 0.757285772317 0.60797429268 0.731500597515 0.0871400658284 0.0933537307979 0.25484808836 0.818846229907 0.254250542543 0.309120053246 0.0876673389205 0.416624368507 0.306981603388 0.784212759104 0.725525554863 0.431609656327 0.565171112788 0.235823875551 0.627035307237 0.854741339722 0.666779288042 0.939983371137 0.701323745181 0.961219606861 0.505946449304 0.521823111275 0.24767060082 0.85520378748 0.391507652477 0.859044725774 0.171131016185 0.886028904142 0.297829766923 0.960737473665 0.807750853723 0.271176809654 0.30487044527 0.0947320725608 0.333458601507 0.431717187921 0.693742161298 0.716226766704 0.0933967273335 0.960401481031 0.907666992883 0.0704699028781 0.725774462392 0.0340996665105 0.673803072817 0.691225715383 0.303835691722 0.803728833395 0.798260563426 0.667984317878 0.928813081466 0.977639049764 0.714314027092 0.862237821349 0.448302447545 0.96670770283 0.914828516912 0.713786080749 0.278739304245 0.438296122433 0.989739019275 0.223176554992 0.513439877714 0.735165897302 0.449417615723 0.00738653886501 0.817133915489 0.759820321464 0.248070360997 0.781801912425 0.324706842247 0.972064332832 0.80276280494 0.66477952984 0.887147134765 0.405835054114 0.060438371095 0.702367080929 0.904977309368 0.949644771217 0.88422374016 0.722172668151 0.621431455933 0.0596451998802 0.382871642304 0.714321263878 0.410451446259 0.618654021303 0.0344886708698 0.193655082084 0.571147159225 0.162973186424 0.752406295439 0.919286985256 0.753249068586 0.246466338064 0.546544299714 0.0453627717712 output 1 307 463 358 165 62 819 975 248 680 956 159 111 609 405 278 166 623 559 926 813 408 372 283 105 451 590 749 593 50 652 556 583 162 775 300 456 183 814 940 672 854 233 386 824 256 688 588 772 430 83 526 129 60 687 755 524 99 774 497 470 474 336 437 373 432 802 208 675 738 94 619 981 182 127 606 530 937 667 347 92 891 126 826 626 319 143 224 739 570 263 495 843 404 70 759 368 30 865 24 241 88 955 535 913 548 442 471 31 120 851 645 75 719 334 537 867 528 492 677 788 607 620 897 511 809 7 391 718 787 753 52 990 480 315 523 147 164 134 57 177 132 844 624 3 552 657 446 686 303 507 178 247 628 894 905 271 205 252 791 90 79 597 125 407 343 541 25 242 285 986 705 953 49 717 963 853 245 914 965 533 565 312 522 793 137 449 589 807 695 234 124 444 239 115 596 811 971 693 363 777 579 414 281 95 611 156 413 776 648 966 46 638 662 598 987 232 217 141 616 410 979 340 568 531 792 536 326 856 501 936 152 383 161 17 964 671 276 359 920 32 691 211 221 379 915 409 330 892 666 179 615 29 798 360 550 525 431 40 712 411 951 577 733 101 447 68 544 732 983 743 868 361 746 422 458 459 65 820 489 236 171 297 567 876 479 198 941 959 188 380 476 647 572 714 12 140 653 472 452 136 185 250 546 715 697 28 837 509 529 924 766 193 637 367 560 190 907 649 960 840 632 961 298 654 108 123 510 866 475 191 779 835 574 906 72 55 402 978 627 284 267 595 742 700 998 16 642 316 420 71 378 287 709 991 133 481 390 644 353 977 116 91 761 426 808 578 765 270 209 35 272 764 661 331 871 342 563 196 20 246 756 518 280 640 325 872 440 701 950 805 828 486 38 215 122 219 80 151 109 694 874 744 100 863 980 255 613 901 176 768 992 387 795 909 562 985 457 878 797 757 516 329 240 235 192 822 36 847 441 970 439 131 974 398 737 338 354 943 646 895 786 939 555 916 564 608 349 482 225 318 253 154 85 875 852 670 445 348 957 160 534 591 782 356 117 328 41 506 321 44 721 911 335 949 418 121 392 630 923 513 220 699 385 417 860 799 174 344 67 86 22 144 113 292 81 999 622 587 890 967 586 157 194 754 539 547 291 443 886 752 89 189 203 58 849 258 51 277 202 702 711 945 665 355 636 488 519 734 436 750 988 976 505 922 293 153 212 229 227 228 498 374 266 491 634 604 294 382 722 904 19 158 571 898 683 401 478 706 736 139 899 376 163 989 273 345 724 213 231 142 238 13 365 925 912 423 770 222 393 692 557 982 261 728 767 274 168 295 780 43 730 323 841 399 484 821 218 260 972 740 96 903 751 362 56 167 651 908 862 879 973 251 930 815 781 145 760 889 993 223 265 931 118 830 206 707 107 74 633 305 264 858 364 128 416 275 102 658 366 434 948 612 515 605 861 370 745 804 301 573 846 810 690 769 747 773 842 934 674 716 527 419 625 243 812 14 406 460 610 602 477 195 848 919 581 823 97 601 656 540 857 172 10 389 845 352 204 427 216 785 650 230 938 921 553 885 309 170 400 958 882 635 18 829 660 771 34 997 582 600 801 490 713 594 902 508 1000 790 676 869 64 831 838 663 259 269 789 93 839 806 984 643 11 859 927 542 549 322 561 870 514 485 87 496 968 538 708 464 735 114 836 438 45 725 816 78 279 946 783 327 741 947 175 784 53 311 435 289 834 63 762 664 576 39 412 403 448 918 226 187 800 503 493 337 487 150 268 377 308 850 42 77 8 933 500 569 689 467 483 685 884 763 257 832 673 825 631 341 726 33 119 290 952 59 197 27 207 494 371 106 149 320 333 244 299 169 818 26 558 655 350 521 23 710 592 210 910 996 54 254 429 76 181 428 15 450 314 617 130 388 66 286 499 641 723 873 186 138 575 48 454 512 395 881 681 339 659 639 585 5 944 465 545 954 554 296 864 669 727 199 110 346 103 893 466 684 61 580 21 900 827 82 969 9 288 201 462 551 47 453 517 803 468 502 148 698 98 69 928 282 304 135 929 883 932 877 384 833 758 817 704 84 731 729 262 543 473 180 184 603 357 332 237 621 942 599 962 794 381 302 415 394 313 421 397 146 310 855 532 173 887 375 351 678 880 2 433 668 461 629 469 4 249 455 796 696 73 584 520 6 317 566 682 104 935 214 396 425 748 703 995 37 679 504 200 369 778 424 324 896 888 917 306 155 614 720 994 112 618 1
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790 417 887 484 892 545 914 996 636 318 359 849 237 434 264 283 157 522 116 986 16 192 257 296 202 905 621 628 656 772 132 848 735 380 163 514 750 113 528 634 31 23 728 614 590 764 413 443 576 964 984 843 37 566 492 542 836 851 567 823 152 301 383 260 831 712 824 160 89 49 111 612 130 175 424 98 337 991 508 416 971 821 435 2 183 607 510 718 467 682 979 125 722 773 716 93 322 800 758 858 61 742 454 5 127 58 619 302 929 488 276 603 539 43 899 316 176 323 41 299 18 917 239 95 972 888 489 920 521 530 723 806 705 594 83 411 878 673 624 895 904 740 815 216 561 992 280 211 729 553 13 653 714 365 746 574 486 726 637 826 396 989 946 297 844 680 189 792 828 852 308 244 687 810 314 358 775 129 47 770 221 112 536 911 456 395 737 592 231 578 150 622 353 452 465 638 250 760 300 378 321 950 293 588 755 956 172 295 215 65 102 214 813 907 274 194 955 769 649 842 688 292 159 72 916 684 348 34 599 807 540 743 88 650 985 571 167 504 415 370 739 677 205 303 388 767 793 845 749 464 631 581 368 562 754 626 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0.296001958473 0.486307718808 0.0801221641709 0.909541715337 0.310927829286 0.146693043013 0.361789465 0.243124680737 0.984717172445 0.55983091163 0.570327666992 output 1 344 475 528 436 12 91 364 470 187 34 301 586 520 157 738 761 838 782 622 82 541 148 868 797 493 988 644 249 33 694 930 697 979 121 688 277 316 92 109 321 463 20 663 874 414 810 67 716 56 168 857 200 402 471 654 700 370 259 550 739 701 808 829 255 523 318 792 795 925 812 474 298 630 352 615 767 530 662 329 971 594 565 390 763 964 837 309 596 202 899 495 95 952 17 809 858 645 553 573 412 545 725 467 620 794 819 648 813 387 361 228 915 931 243 919 238 750 656 466 599 59 597 890 664 681 90 126 559 443 789 974 244 515 485 334 303 42 492 715 985 665 182 233 377 805 944 848 111 749 295 997 72 626 995 973 862 760 114 270 709 63 177 341 35 306 689 636 578 240 779 258 125 156 911 606 856 860 882 655 816 983 959 337 199 752 70 568 49 143 421 435 924 409 827 324 379 635 676 194 955 835 131 566 540 593 112 454 501 865 342 210 661 872 696 169 267 61 903 551 77 888 362 336 678 113 286 222 138 581 967 733 823 375 729 916 609 800 363 196 461 333 237 331 943 408 96 287 490 721 359 165 507 817 772 687 440 140 531 705 346 457 524 932 791 526 484 679 271 195 547 192 373 449 118 745 135 542 910 807 158 720 508 535 951 275 842 735 116 432 683 223 886 511 429 774 861 254 201 759 619 166 29 394 682 563 706 447 853 253 546 633 155 221 522 570 999 855 587 162 107 887 527 231 880 981 322 802 605 55 722 208 803 873 576 54 926 290 420 965 982 486 372 885 783 180 262 671 332 859 349 923 670 368 498 30 936 962 773 639 483 963 83 572 293 937 900 170 437 305 261 875 219 543 839 666 296 896 770 854 627 625 968 863 658 954 209 776 631 197 660 754 137 946 975 864 624 850 731 58 698 820 500 748 108 102 537 367 796 822 234 826 314 307 325 68 852 124 638 732 818 699 413 426 582 539 799 987 869 175 66 239 730 753 469 942 183 595 376 312 628 268 598 410 247 897 647 450 958 786 164 814 672 473 642 427 386 811 31 103 444 788 557 246 279 87 452 104 300 299 793 94 613 480 561 787 737 7 646 128 174 488 904 894 675 392 44 431 668 193 834 36 150 504 57 119 5 328 178 866 669 419 998 369 580 23 313 464 371 713 292 288 404 908 608 191 417 743 123 172 960 825 53 13 266 242 723 441 768 579 657 870 167 345 883 76 304 456 400 173 695 65 949 677 629 269 26 422 46 806 425 741 487 206 190 673 382 80 47 273 40 86 60 935 212 391 614 600 529 289 110 265 966 843 585 281 905 762 185 757 509 73 297 583 533 623 22 115 181 702 771 929 326 220 459 992 399 351 898 970 204 374 398 355 836 574 120 27 928 986 766 569 274 198 250 406 947 153 830 641 438 232 592 385 972 189 717 458 442 804 161 18 69 347 127 895 433 621 891 235 610 892 690 323 282 455 423 428 245 8 691 133 214 922 477 534 719 913 742 248 718 996 263 430 348 350 693 567 562 37 134 560 491 184 407 884 740 704 14 393 977 482 75 845 901 476 132 340 129 302 637 575 230 618 505 602 584 356 21 52 841 616 397 339 775 99 284 948 590 643 308 405 171 878 226 548 384 41 784 990 778 205 558 667 203 43 744 122 28 994 439 62 516 726 571 889 909 680 756 993 525 411 851 724 632 607 225 728 927 320 497 380 330 907 588 315 517 354 445 552 514 4 98 146 734 389 893 353 360 451 145 938 434 149 711 472 538 612 460 939 912 276 512 365 496 403 188 357 478 257 708 224 601 736 45 604 503 39 844 653 32 335 921 536 241 692 980 956 6 152 828 462 294 319 953 840 650 712 85 84 117 24 876 640 506 969 917 871 160 151 50 179 16 555 395 781 833 218 227 176 989 93 941 272 780 130 11 945 867 821 343 617 100 366 71 283 649 51 19 707 446 765 603 991 710 15 714 285 139 64 229 388 984 906 79 260 847 136 577 142 416 106 465 499 3 448 556 513 703 251 746 832 154 544 519 10 831 74 914 479 815 591 747 383 418 758 849 589 358 48 278 879 933 291 518 790 310 378 163 264 338 89 215 686 256 934 611 502 327 957 659 877 940 88 532 144 381 755 881 978 78 510 961 252 824 798 785 9 468 685 846 217 38 105 207 769 141 549 777 902 159 918 317 453 634 424 950 2 651 311 489 280 81 684 415 751 147 764 1000 211 481 101 920 213 97 652 494 25 976 216 401 727 521 554 236 396 801 564 674 186 1
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500 674 99 187 672 561 885 146 69 696 746 932 113 83 522 238 891 242 152 766 842 587 820 550 296 259 625 895 786 61 849 878 23 761 678 844 425 661 989 230 514 730 261 955 511 127 202 560 360 911 41 784 465 480 546 408 806 507 281 910 990 53 75 629 921 293 81 76 816 94 157 986 699 324 155 109 348 493 357 10 868 537 116 402 739 282 579 818 659 26 668 368 149 813 581 861 772 865 227 445 165 915 491 31 487 12 962 364 713 512 290 62 745 634 427 380 618 103 846 205 441 976 138 787 689 311 20 908 172 329 707 742 626 604 736 981 5 616 121 385 585 922 776 641 705 189 734 326 728 843 670 351 795 936 110 181 773 306 577 353 790 452 565 114 34 87 244 320 122 173 80 89 716 18 800 673 390 77 614 548 56 557 756 106 243 406 835 233 897 268 602 175 617 458 975 685 770 396 246 969 188 9 854 272 6 206 428 782 489 438 690 102 952 42 379 100 993 70 435 104 363 968 606 671 179 197 297 832 11 482 632 867 312 24 765 258 473 781 959 612 997 162 314 965 942 513 266 105 313 388 510 204 468 529 848 136 453 59 759 988 222 631 898 649 22 426 665 292 224 901 991 60 872 526 64 884 829 381 566 133 195 283 51 251 563 66 888 132 240 926 907 999 405 650 516 686 35 168 995 570 307 644 239 349 492 681 584 580 802 886 607 191 688 264 828 953 194 666 655 86 701 578 801 340 924 987 732 429 518 32 675 727 479 547 957 393 38 3 536 656 68 145 556 180 494 262 131 836 247 128 636 208 748 90 687 220 691 777 830 949 827 731 71 422 662 196 758 421 199 539 946 855 822 33 466 651 378 530 933 345 615 436 877 774 718 201 757 497 232 881 698 871 440 29 517 754 125 778 444 211 431 289 851 902 892 318 119 382 738 335 394 890 983 339 342 338 134 712 237 723 319 710 603 706 412 193 367 695 294 477 879 45 719 982 415 961 182 593 804 72 571 401 270 46 764 399 809 250 301 702 88 203 398 543 171 780 792 711 356 589 613 383 619 144 669 255 101 13 643 893 984 553 213 523 40 374 956 525 57 737 369 654 253 751 660 97 295 597 192 432 904 423 823 914 573 478 703 161 574 273 598 875 474 19 257 501 724 609 693 950 524 870 943 958 451 874 365 118 623 594 519 645 317 486 153 749 209 455 254 909 147 395 327 533 190 437 332 568 605 430 744 163 966 876 575 743 538 442 483 308 831 52 789 862 107 450 464 905 714 887 198 386 717 108 667 694 174 588 542 184 657 183 785 979 265 490 58 25 564 447 462 15 980 304 554 998 410 741 129 515 389 791 729 148 740 535 123 576 779 84 419 775 115 733 322 819 572 664 471 170 176 799 216 496 346 377 337 810 470 92 404 531 839 495 159 74 925 796 857 601 384 355 545 347 475 596 814 218 361 418 974 459 36 372 825 139 288 972 502 291 178 815 845 279 841 562 600 805 151 663 467 341 720 413 608 231 923 939 460 55 948 882 528 826 325 67 416 592 638 762 763 164 499 315 582 929 169 185 677 481 344 858 964 755 400 16 21 935 978 275 392 249 760 469 47 963 945 653 449 630 970 350 558 219 334 424 894 947 241 928 333 551 682 521 485 912 527 443 370 627 37 235 880 590 534 387 683 847 567 65 540 85 310 210 883 150 506 27 274 599 700 498 971 323 287 783 140 708 433 798 852 91 639 328 793 794 889 807 896 725 260 278 8 43 722 366 811 256 454 628 637 331 267 840 869 996 263 856 640 586 900 14 850 541 229 391 595 414 1
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78 820 426 66 939 397 606 465 594 836 915 12 55 565 552 304 315 579 45 661 959 470 686 453 231 883 389 124 381 714 634 175 903 267 580 929 938 445 548 719 340 318 263 885 457 895 120 671 423 665 628 881 990 254 662 590 868 415 92 562 762 536 99 114 498 627 672 390 466 88 217 280 759 839 450 321 311 821 72 681 242 941 735 458 256 608 950 673 657 17 560 192 640 793 741 351 431 913 454 214 376 28 154 299 656 835 733 331 218 395 944 443 136 1000 781 599 621 530 518 285 235 135 795 447 668 367 167 909 349 624 499 632 234 355 5 658 652 986 429 904 538 418 365 861 567 239 163 636 763 989 169 432 853 967 394 208 799 623 916 207 223 718 503 798 36 596 259 305 292 921 491 732 586 188 98 59 37 780 626 568 963 923 862 58 53 685 984 940 942 549 364 849 64 243 388 271 953 926 360 62 531 205 506 46 791 830 866 190 827 203 118 979 945 653 370 278 650 522 369 301 854 173 684 2 646 831 344 749 822 991 201 591 994 842 932 413 392 968 737 95 810 366 973 408 613 707 380 293 385 433 181 521 497 860 337 132 151 110 693 786 867 35 461 286 177 731 629 316 809 680 674 97 726 434 816 948 832 166 664 796 826 996 24 210 993 279 557 229 952 437 699 477 515 341 196 333 908 30 561 356 193 670 806 480 721 334 834 917 107 61 421 642 320 617 171 633 848 489 226 377 622 382 282 649 211 555 143 970 362 439 428 554 197 148 879 146 972 935 81 411 361 250 902 639 504 374 981 715 373 240 954 161 659 379 494 170 648 313 89 751 738 925 542 865 896 348 818 804 635 294 213 444 677 490 258 760 209 116 476 803 666 54 943 266 589 769 687 683 643 325 260 302 96 357 706 438 262 871 6 705 317 378 93 891 416 15 264 350 654 976 997 109 947 965 985 80 859 130 729 82 103 776 874 204 442 91 343 179 723 221 3 336 398 955 716 675 615 802 117 815 180 838 978 877 478 297 405 424 516 583 556 363 768 275 784 601 655 86 178 156 575 47 184 936 404 358 914 56 412 414 574 660 841 764 483 102 352 753 22 187 168 346 469 68 709 572 637 931 449 309 869 750 38 700 510 607 893 230 342 195 202 314 697 610 956 100 471 122 702 974 688 587 833 137 44 616 667 198 43 237 257 281 473 164 436 94 897 971 13 933 777 253 988 602 354 296 541 289 982 724 573 641 962 569 563 165 928 754 813 858 85 669 39 419 609 682 113 451 722 48 125 407 83 126 899 11 880 878 23 291 27 487 241 946 644 519 20 977 225 295 887 676 814 87 511 600 875 911 964 73 486 905 71 158 347 14 785 619 330 16 277 142 222 840 850 742 446 233 782 215 312 930 194 425 186 19 957 272 528 774 138 265 689 430 284 459 845 698 121 467 252 745 468 368 757 501 889 524 183 232 76 755 324 422 787 592 992 539 75 532 338 958 456 593 912 227 807 131 743 191 790 761 500 129 949 679 119 570 375 843 441 730 383 327 747 980 128 582 74 482 611 276 69 400 995 805 79 585 588 40 852 298 934 922 495 873 525 8 274 597 789 512 251 326 245 987 960 270 708 283 106 998 112 481 703 147 463 149 773 578 290 460 244 384 105 393 32 800 783 249 604 829 526 410 21 748 778 765 403 924 70 182 566 969 159 576 678 767 551 535 77 825 150 713 84 67 712 140 884 332 49 200 52 907 220 310 692 837 886 999 919 448 228 890 614 727 775 153 396 545 855 725 90 711 141 772 620 502 127 287 34 690 485 174 104 876 856 605 455 386 189 870 1
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761 515 317 185 2 968 161 687 778 41 216 613 415 513 222 889 248 921 330 944 762 901 625 682 271 226 735 881 535 143 746 159 377 196 558 324 876 825 694 859 862 560 421 296 785 697 59 50 724 973 663 866 678 636 234 619 716 501 794 201 52 611 815 500 265 639 964 214 584 704 350 100 175 412 432 320 516 510 826 772 298 728 410 981 899 251 758 219 237 793 104 335 142 888 692 70 733 186 806 439 171 541 717 146 79 468 288 609 760 670 534 824 708 887 992 597 779 391 587 148 245 395 253 349 594 922 847 655 273 257 586 114 160 480 890 445 909 458 371 375 576 711 128 43 860 799 299 51 883 90 303 646 20 759 986 53 504 413 865 720 68 505 546 452 3 405 363 464 684 98 755 635 414 743 752 393 604 387 76 38 305 823 419 381 701 200 427 913 6 659 178 648 275 121 664 788 42 99 691 556 417 333 775 532 151 945 927 544 525 570 411 623 95 915 557 725 885 262 115 80 437 821 213 931 258 107 600 538 757 575 77 261 416 969 689 898 158 66 522 264 205 225 424 7 669 910 18 215 435 46 923 816 630 352 980 477 951 822 861 429 125 995 451 27 295 441 431 891 228 478 447 564 67 268 199 87 707 948 950 723 389 721 112 1000 29 831 566 394 537 211 673 348 401 233 908 45 313 961 230 194 562 491 404 455 340 949 49 92 741 918 240 327 511 518 388 963 967 449 58 202 460 813 428 668 243 430 571 819 624 474 337 681 122 907 135 111 666 470 357 311 22 540 132 267 878 548 842 987 55 955 773 231 328 545 653 877 783 589 960 102 718 550 744 539 637 916 326 763 903 874 69 585 319 905 409 722 15 568 444 236 9 551 279 191 183 580 628 957 809 644 332 60 782 457 994 742 654 247 750 620 920 820 751 590 502 372 152 517 698 569 278 138 925 797 565 841 385 911 739 399 84 13 179 567 292 118 238 129 318 203 28 73 791 626 272 210 462 712 849 93 396 246 366 182 344 796 520 263 289 642 601 249 529 886 276 329 206 422 554 140 660 853 549 376 729 770 736 190 390 497 900 531 974 542 844 573 367 461 17 780 96 983 235 926 582 309 984 999 749 434 418 814 651 805 640 863 754 591 465 154 14 471 631 147 583 519 32 892 830 198 472 123 141 97 526 155 852 23 74 958 89 803 490 450 561 358 507 24 398 336 533 300 85 331 39 282 232 306 343 943 310 406 703 588 314 71 786 512 543 308 212 674 616 508 453 514 86 485 8 579 34 671 693 706 193 370 290 595 479 627 652 714 440 774 686 732 621 938 242 62 283 188 854 101 787 378 776 321 26 241 808 113 44 315 997 946 31 94 647 817 162 977 426 833 855 928 207 466 552 459 157 993 979 929 696 658 952 189 463 798 489 851 675 738 982 893 166 857 173 351 436 208 25 954 976 139 347 281 784 54 456 82 127 368 374 274 209 342 846 167 408 829 657 403 498 848 645 599 989 649 897 858 280 250 713 221 64 150 493 108 364 685 496 740 804 756 879 217 643 577 19 634 767 795 341 270 919 346 896 828 867 75 467 448 962 316 116 286 384 195 117 902 940 953 998 33 227 683 917 120 149 769 177 836 304 88 255 354 16 220 966 312 603 617 970 840 832 165 790 835 768 838 438 359 380 777 932 856 802 607 483 78 764 353 291 602 934 407 638 677 574 486 187 400 690 260 605 991 679 864 174 35 224 392 446 433 168 223 180 259 837 156 530 871 598 131 134 4 10 818 65 622 110 702 37 971 126 420 667 124 184 153 618 789 30 338 753 875 382 850 528 771 361 1
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0.731240155168 0.902746622802 0.417792093379 0.396129162007 0.853955469137 0.504342281377 0.285702895036 0.103567215646 0.908188725448 0.502243626983 0.463366666991 0.813709067653 0.20869102924 0.875623258523 0.293487571996 0.487117943257 0.0423305283506 0.229125099543 0.770502289042 0.876321106627 0.271456182189 0.121683250201 0.370685420908 0.228591334893 0.537234528205 0.0423138669388 0.626630648386 0.492474902933 0.452458443089 0.208488323109 0.738419509756 0.467511170952 0.759458464653 0.881163223247 0.934650905317 0.0328683845793 0.516783869757 0.594353875709 0.682094918553 0.994904282406 0.308474141212 0.672034714679 0.466251367314 0.172711417176 0.47280063853 0.241360706612 0.234296996264 0.144908223003 0.956135999213 0.477891874096 0.81379231095 0.116801849819 0.208384957538 0.643398157902 0.259361921778 0.503504280358 0.16550806611 0.548867940657 0.21141631162 0.32644582848 0.947277894948 0.274984263147 0.148925538468 0.749457825238 0.0614301783662 0.652788506987 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860 62 384 283 135 441 643 465 359 904 770 657 439 540 276 647 625 954 234 209 54 185 740 386 212 977 970 810 340 530 7 923 419 872 753 542 249 410 827 400 142 754 846 913 760 12 451 53 231 457 79 558 592 611 6 199 278 921 295 942 80 870 864 84 274 965 486 351 985 518 248 630 645 822 133 501 163 829 91 468 877 476 491 48 517 472 61 865 453 823 900 863 406 134 218 758 238 258 224 906 305 100 256 357 536 624 456 782 512 329 252 707 755 781 779 288 661 194 342 554 731 757 208 528 916 884 176 725 193 67 960 869 814 938 708 935 752 741 552 120 105 413 251 233 458 387 383 503 27 181 961 210 435 242 230 10 955 380 507 282 600 115 495 748 980 3 296 293 174 86 850 882 51 915 688 368 124 106 825 83 819 662 264 890 905 5 499 620 73 658 263 336 894 493 385 996 828 893 603 97 901 572 253 56 628 432 129 59 775 699 475 717 919 785 423 966 425 144 92 328 563 776 131 361 119 448 802 179 539 85 139 132 196 597 892 50 771 629 876 109 310 188 698 479 421 724 668 936 871 1000 75 418 225 265 849 896 590 967 805 842 38 239 143 795 130 622 632 879 140 95 807 557 581 576 298 566 487 639 291 268 482 958 21 299 316 997 844 515 118 116 862 401 672 459 403 322 548 738 636 511 347 918 467 664 692 691 201 679 594 644 545 309 606 34 979 582 294 392 522 736 303 113 607 513 28 570 235 751 360 87 676 473 881 685 773 880 367 908 564 947 788 588 843 614 393 730 898 930 202 429 24 981 52 364 878 646 365 169 806 399 461 217 232 516 801 637 121 488 555 653 236 204 452 992 191 704 173 656 911 568 549 189 301 104 343 424 160 4 523 82 994 390 714 926 537 746 454 858 40 414 315 375 790 854 159 57 524 197 438 31 587 613 631 920 903 899 993 203 379 789 713 304 150 348 108 834 266 681 16 337 845 867 408 496 321 58 544 178 847 377 68 339 25 627 192 96 711 551 287 22 167 352 836 615 990 560 126 60 146 895 29 200 88 684 940 228 165 381 15 46 702 300 168 180 718 269 219 323 89 856 81 434 497 989 520 147 227 665 907 494 504 325 586 687 666 567 281 546 373 589 715 450 826 529 344 762 394 33 69 987 670 389 510 289 187 346 306 641 988 521 9 683 74 922 712 103 355 20 277 697 474 968 11 959 223 409 372 677 382 332 216 617 527 481 312 623 820 500 580 17 284 786 608 780 112 485 436 914 722 151 835 396 415 972 318 13 35 19 949 840 927 950 706 427 604 964 971 984 696 579 327 832 902 164 734 756 875 98 818 156 813 55 244 255 162 182 690 285 519 175 313 47 247 710 812 928 945 292 331 732 774 215 338 42 311 596 796 663 816 376 729 929 675 912 573 969 726 437 122 279 634 137 678 889 716 654 341 222 998 2 837 101 477 635 198 861 345 897 833 767 673 440 30 41 948 395 924 259 254 240 556 909 766 433 26 478 526 145 271 205 973 358 591 794 601 883 324 484 90 531 416 660 953 543 745 431 682 32 370 888 982 975 420 37 538 49 887 983 405 749 817 852 571 161 703 859 759 769 374 363 651 371 275 270 633 797 804 853 995 917 356 739 308 857 778 262 659 171 562 71 44 207 838 809 547 45 77 206 335 874 444 577 986 944 127 728 764 946 978 463 910 719 141 302 190 619 290 483 514 694 353 674 803 469 407 747 534 462 792 616 63 257 638 111 177 768 184 498 772 848 642 241 508 952 550 578 226 417 272 583 492 640 808 648 443 214 777 78 791 136 1
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158 644 914 505 143 954 795 29 130 188 318 23 60 423 190 605 535 44 521 135 300 488 31 897 369 46 764 631 619 470 301 549 399 515 252 435 6 86 353 2 983 278 780 383 842 713 270 942 963 349 676 193 917 291 134 621 150 836 989 248 281 727 762 10 647 876 283 99 194 569 422 288 625 664 94 561 614 115 507 725 939 138 179 585 345 230 469 903 693 396 812 500 557 962 633 769 485 978 329 262 634 263 214 225 125 337 476 306 837 694 589 695 392 249 365 853 153 677 846 434 909 466 943 588 53 913 454 52 447 700 809 724 215 971 593 198 582 683 79 532 100 336 597 867 806 219 463 210 182 637 576 69 710 307 816 607 54 105 770 147 592 265 832 761 881 722 651 296 609 706 209 377 250 480 529 1000 420 124 333 126 961 21 244 895 711 148 309 224 730 42 56 639 718 550 824 450 495 30 413 177 442 919 304 887 43 386 889 59 131 811 580 213 681 612 311 845 863 632 152 385 516 955 865 859 599 180 986 410 239 183 976 437 486 128 173 142 235 184 782 757 388 675 503 709 492 874 531 92 822 559 49 319 778 254 484 112 85 935 272 721 267 883 900 352 626 728 636 394 638 418 574 228 579 539 121 590 744 820 858 403 293 289 866 691 501 893 192 348 635 948 965 232 123 411 109 497 552 699 294 398 51 750 685 169 453 841 896 298 231 176 898 525 174 261 419 50 455 882 63 421 931 65 199 8 904 661 84 726 202 645 111 514 753 166 375 489 924 240 58 207 629 279 641 527 140 556 659 197 96 64 416 460 680 284 122 201 3 424 860 852 885 658 20 119 748 55 266 66 292 996 765 594 317 902 438 716 956 97 880 855 465 331 829 788 110 573 714 36 287 673 657 861 167 344 772 857 583 572 229 804 794 738 856 181 371 120 62 144 815 146 409 27 269 982 464 196 155 944 643 901 432 276 378 456 992 382 940 723 703 226 562 80 947 751 873 868 28 781 441 136 953 478 813 406 218 217 260 803 391 389 191 736 564 747 743 678 275 118 285 61 839 838 627 596 616 339 575 984 540 157 108 479 752 395 171 679 428 934 81 773 805 790 964 814 355 994 312 237 756 791 247 412 729 402 368 818 233 370 979 537 918 981 533 401 320 922 777 359 766 560 848 793 558 739 843 315 496 682 628 509 916 878 800 807 518 325 906 578 927 430 601 760 204 796 774 929 993 749 468 302 831 459 83 894 553 696 439 959 617 471 969 733 45 830 980 668 598 704 674 82 563 163 915 493 707 449 295 998 615 448 223 444 541 156 363 802 850 702 76 404 653 970 106 844 443 212 692 277 849 178 170 324 161 508 433 273 620 132 784 243 335 655 25 602 189 159 393 195 732 785 11 290 759 321 536 133 342 960 799 600 5 374 951 519 606 241 546 35 666 71 381 268 941 528 797 494 358 322 584 957 642 259 384 670 4 48 792 222 920 227 997 203 7 258 89 974 117 810 787 719 523 354 425 367 116 472 862 18 334 397 498 864 414 415 305 928 544 280 390 828 407 819 387 347 246 445 308 758 783 34 823 57 985 482 504 408 720 656 19 373 899 875 741 22 95 754 137 950 78 660 734 356 139 910 587 542 926 779 613 361 851 735 499 567 888 475 160 12 487 127 649 340 91 154 14 746 611 672 571 297 67 995 282 886 436 921 972 502 907 343 923 662 742 697 491 149 640 186 506 234 877 245 15 908 271 755 172 93 255 872 251 417 731 510 40 768 771 77 330 104 101 151 90 652 892 551 238 483 87 767 786 429 162 400 426 16 242 968 328 474 175 646 1
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428 645 561 67 5 325 672 843 89 92 105 455 928 485 225 559 120 510 467 463 651 274 395 826 112 222 149 426 454 350 138 45 300 275 730 22 571 91 217 35 26 145 382 683 329 74 497 706 405 472 448 685 340 791 979 95 936 179 316 289 604 68 959 451 990 516 861 892 863 961 254 421 284 820 789 534 492 13 616 733 48 460 30 170 213 731 318 666 24 44 765 367 772 725 807 618 247 581 958 805 398 334 935 61 72 191 16 655 925 570 17 695 712 986 811 652 653 800 834 37 441 124 408 901 188 322 557 775 182 142 320 904 957 696 235 435 854 996 539 827 591 812 900 714 966 858 10 474 458 509 910 511 168 98 518 109 280 792 785 438 734 609 852 152 823 77 369 802 69 271 612 960 443 998 360 879 848 915 575 574 203 611 753 532 180 200 432 244 136 602 799 221 569 718 701 387 376 882 752 102 545 108 25 218 864 306 784 31 579 740 921 619 517 980 880 431 631 634 855 488 111 978 844 821 641 926 139 614 572 817 201 558 818 964 923 716 677 469 468 267 501 415 46 750 462 756 116 246 878 676 479 583 847 47 797 359 994 839 547 362 308 354 873 384 647 20 258 11 782 675 749 560 528 103 302 601 243 276 126 504 220 439 629 589 190 71 52 193 592 494 268 699 538 697 913 321 309 836 916 520 751 144 471 204 450 693 9 608 636 739 194 255 741 637 625 770 771 286 237 829 931 773 83 422 464 349 808 323 777 719 680 585 828 351 332 748 33 459 662 80 871 379 727 859 293 57 987 236 310 948 930 209 66 416 156 260 331 710 720 151 19 500 338 883 824 392 738 196 796 452 429 75 815 603 148 403 159 932 446 370 34 606 140 23 498 622 551 27 410 887 722 315 333 737 833 324 884 673 365 185 135 424 113 600 107 508 512 294 56 282 433 953 615 158 692 64 794 595 249 2 211 911 277 877 490 513 822 954 32 53 372 620 688 377 482 762 175 437 447 760 689 885 627 43 717 586 55 357 962 774 972 97 199 262 654 582 554 667 856 521 809 62 801 565 788 649 270 610 133 155 241 420 813 169 41 576 876 117 757 79 723 480 905 742 506 473 368 865 945 721 868 895 530 383 285 997 831 189 944 682 744 657 853 787 888 295 527 444 228 86 162 973 983 312 533 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26 584 463 583 461 671 303 686 57 575 432 190 554 115 782 957 969 324 374 215 180 350 431 928 873 279 419 492 230 769 807 532 522 233 77 251 665 342 95 622 555 973 253 231 117 406 389 800 325 263 844 68 946 197 649 606 172 339 268 805 566 546 577 104 869 668 399 980 7 924 129 85 826 275 455 906 929 120 976 654 650 658 423 753 37 82 413 476 932 238 430 256 582 838 84 360 714 491 948 898 319 764 734 382 102 977 629 561 55 124 602 681 80 756 703 777 484 150 857 684 113 181 152 243 472 949 900 700 173 264 2 372 528 198 192 799 612 411 937 661 224 737 760 825 635 54 999 641 381 708 687 657 673 766 486 178 785 891 332 465 367 90 651 107 31 56 738 103 914 12 586 618 579 300 954 837 421 936 29 35 634 14 149 947 165 556 158 637 334 815 543 477 945 508 76 454 811 47 659 98 277 483 689 323 863 208 981 290 729 366 145 203 985 524 497 996 993 529 536 845 168 498 752 697 196 183 888 950 593 49 987 287 416 614 830 106 809 294 823 573 791 746 202 856 456 329 979 713 478 568 369 211 827 680 813 915 563 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435 395 506 666 331 20 214 938 942 63 61 947 505 513 33 60 927 79 72 569 252 589 802 21 674 668 720 824 491 606 133 795 78 122 632 982 459 320 215 156 407 830 501 833 548 412 890 211 879 418 300 595 562 936 450 126 864 332 663 210 511 356 698 445 537 797 871 112 600 178 921 458 559 494 144 457 500 707 394 463 739 466 193 699 257 496 433 590 97 378 350 403 34 64 456 564 656 243 768 615 796 323 145 255 419 218 461 743 811 396 962 204 554 7 379 51 226 448 703 164 691 787 261 593 413 174 623 956 880 132 675 236 949 586 313 971 452 929 449 736 980 167 338 299 94 729 294 630 716 609 725 109 535 517 541 552 526 533 497 673 3 572 814 104 106 774 59 829 571 761 73 918 173 56 37 339 275 27 276 539 417 514 203 968 523 492 680 583 886 298 31 127 49 611 584 465 346 792 416 267 23 619 735 134 939 8 756 977 793 248 247 285 904 995 951 253 359 12 568 113 808 397 603 925 678 528 917 71 984 279 780 924 141 114 242 430 575 437 839 896 479 121 377 815 81 446 54 874 182 543 307 952 486 694 198 979 89 745 2 361 681 646 999 152 507 237 224 585 256 119 324 29 90 278 353 41 957 635 997 520 580 690 327 46 777 209 287 628 337 349 404 118 788 875 147 981 288 36 366 365 429 827 254 813 328 592 125 665 431 389 783 998 291 443 919 948 45 715 963 540 274 908 398 411 223 588 390 898 734 69 868 931 483 428 250 503 420 421 876 913 607 647 225 244 964 482 818 301 679 201 467 171 636 545 719 212 945 512 98 47 74 108 988 312 686 424 841 169 142 740 220 882 131 831 844 985 305 22 221 422 846 723 718 222 322 260 873 25 426 230 281 358 849 484 629 596 944 930 782 834 65 259 820 351 405 737 441 227 14 334 262 170 850 229 302 730 525 885 175 9 357 746 440 888 688 48 381 188 185 832 709 110 24 566 910 369 857 809 516 727 550 438 920 130 794 642 887 240 578 851 76 726 842 325 202 852 387 573 713 269 836 625 661 376 303 87 148 363 32 451 283 207 766 388 711 228 848 685 530 80 556 423 391 812 614 677 232 402 712 341 943 310 994 99 508 273 621 439 335 68 314 271 368 565 306 444 697 902 277 195 19 432 693 644 884 654 906 495 641 664 553 316 140 527 899 380 911 55 159 806 892 406 515 828 891 179 940 639 570 700 816 30 326 347 284 478 631 672 26 973 855 760 865 268 509 597 371 767 861 933 741 522 645 123 954 714 854 400 318 755 488 845 651 616 464 705 687 370 567 582 826 817 153 1000 922 724 959 393 587 146 200 52 57 354 364 704 67 781 194 436 208 129 529 804 272 601 914 937 682 577 219 791 84 837 157 710 238 912 336 460 415 579 894 605 897 721 189 753 383 66 536 786 990 139 757 966 329 518 476 893 16 547 295 785 558 662 649 234 344 17 534 863 251 177 489 315 856 744 28 889 85 551 504 77 638 574 953 186 96 471 263 594 650 867 975 4 733 386 18 44 624 340 95 751 136 187 655 717 659 399 859 382 524 722 474 258 5 870 42 749 304 901 116 960 620 803 608 928 978 162 362 658 974 869 286 660 972 442 667 581 671 689 731 191 763 150 946 168 805 657 409 176 217 111 801 410 758 120 752 135 531 100 652 544 481 576 692 374 983 50 955 82 958 862 643 683 309 599 143 640 83 989 696 425 934 199 789 883 462 205 231 742 810 115 993 800 769 881 701 196 1
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738 652 910 842 942 317 516 94 480 216 786 664 49 441 60 420 584 748 37 965 852 998 363 861 808 223 817 618 991 975 723 550 224 741 492 760 572 101 542 920 775 703 763 588 727 321 75 950 919 125 310 252 114 646 860 701 734 11 986 631 601 355 650 606 416 761 964 751 149 306 866 587 686 267 802 743 897 556 702 909 907 602 969 330 946 250 815 45 943 44 798 10 954 482 17 396 254 348 320 586 548 167 769 880 956 295 90 857 280 869 814 609 725 106 484 325 183 605 699 927 381 793 283 788 514 768 597 128 319 544 862 955 112 84 209 232 331 327 447 215 373 640 790 127 39 200 668 877 737 721 163 495 521 345 966 879 529 358 778 152 624 55 816 470 806 124 192 677 195 303 247 512 926 706 684 290 493 487 736 972 293 533 33 436 115 425 13 332 350 253 782 539 716 506 567 281 398 730 307 717 622 881 494 839 20 724 546 573 508 282 789 715 992 971 286 718 843 434 71 678 900 296 263 610 451 526 410 592 442 976 390 936 952 780 566 692 712 110 133 930 400 771 393 244 731 596 498 627 155 959 813 527 554 583 911 1000 169 579 202 469 153 607 619 333 697 870 657 145 35 210 985 2 720 40 792 940 655 889 613 774 29 660 170 834 18 600 465 680 537 108 6 838 615 388 835 297 744 86 672 894 662 162 8 510 711 758 46 274 578 387 53 298 841 54 158 308 765 580 875 57 667 497 311 257 214 687 74 134 953 141 433 357 522 598 535 251 421 343 392 401 729 821 227 243 222 138 14 249 642 172 524 599 999 359 797 805 423 144 276 287 454 340 463 302 12 532 428 633 131 803 685 181 682 122 31 571 695 79 923 238 385 534 104 594 314 371 151 65 562 97 987 836 221 564 896 831 988 211 756 958 150 850 844 351 949 93 873 747 369 865 963 475 473 906 884 384 261 245 915 525 123 342 489 309 15 9 471 459 641 776 412 132 397 827 496 636 621 129 764 248 868 740 714 467 374 456 507 504 704 240 876 23 62 639 485 536 225 632 883 735 431 772 585 174 146 928 368 688 234 855 312 872 757 833 700 561 783 799 568 800 691 809 705 499 979 543 91 759 78 48 354 370 973 148 179 136 795 69 693 908 361 180 595 372 95 42 208 258 892 462 570 323 559 198 82 830 696 823 182 275 853 213 338 285 935 264 629 364 746 444 339 967 679 663 458 376 931 713 102 811 356 653 819 871 304 61 273 647 476 362 822 518 299 623 30 440 656 483 970 488 654 490 555 164 365 517 648 912 96 750 185 781 974 651 394 241 380 812 5 59 620 669 168 449 437 848 538 557 773 212 531 353 520 239 549 246 402 329 828 563 118 957 574 154 156 804 997 709 666 978 917 260 453 233 784 770 614 87 665 659 530 649 921 674 474 560 576 203 565 995 389 187 481 810 88 51 111 569 177 858 166 160 443 217 486 193 176 26 882 360 826 265 515 505 675 818 126 886 83 941 315 582 19 291 888 694 722 184 161 379 337 500 791 983 445 977 120 468 934 109 905 430 399 479 305 3 229 491 38 92 644 593 749 36 961 289 990 268 937 824 611 429 414 939 408 616 73 794 89 452 501 851 341 66 863 673 755 235 300 752 914 455 435 603 352 671 22 796 509 404 625 913 523 98 382 948 932 878 590 116 147 85 201 898 847 191 742 944 901 119 64 316 513 994 591 426 100 739 137 28 25 41 637 634 589 989 139 56 130 460 270 375 366 581 205 558 924 386 117 575 204 922 417 81 981 189 292 552 676 278 255 710 405 874 553 856 70 206 446 272 349 461 503 849 21 502 1
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0.184213206701 0.457017985362 0.678162583078 0.115355240705 0.109472124847 0.908998025509 0.999791492577 0.608343925143 0.61905232823 0.576275758317 0.225656436654 0.0174805173814 0.716962428145 0.195209250335 0.969839711386 0.864491265331 0.547050246842 0.652765458346 0.673422522026 0.0716604971781 0.945657908186 0.0197281427697 0.890311962106 0.0747189943037 0.612074651738 0.137316307603 0.361303102889 0.163422366388 0.219072243081 0.226937933149 0.632619762261 0.0626224680546 0.0808836442735 0.983434965995 0.739711648181 0.465548859922 0.269018268835 0.833208809638 0.178220420556 0.139944418375 0.175928228482 0.205463724909 0.198986977379 0.15429369957 0.212933066272 0.312272054077 0.0992538519442 0.516519288835 0.725692289398 0.355339065045 0.562141195348 0.0964695008078 0.822501416211 0.278455925382 0.693587718671 0.459475501071 0.0899889776513 0.486572984667 0.185656681566 0.208533228305 0.422373301134 0.771027007406 0.418266621349 0.474855728758 0.266780717606 0.188495066009 0.791713753985 0.70717442121 0.747370330786 0.342751313313 0.336816536836 0.893936584584 0.335845052292 0.712026154764 0.113195172176 0.772473243736 0.816257515699 0.162854312719 0.727754331873 0.41419199702 0.247358170573 0.388160720066 0.671864713829 0.686438497444 0.909647180219 0.52338372557 0.946207447866 0.879763800746 0.756989612448 0.790455540258 0.133294644332 0.40921801432 0.157044458848 0.089796811296 0.0783399513944 0.124791770253 0.870214001205 0.777981154579 0.28095784576 0.0747163651392 0.804127303787 0.647305207492 0.392812770198 0.49262772099 0.750787804197 0.345968894495 0.949645642752 0.324894177068 0.0373786111959 0.322564693164 0.0716682258639 0.392204083272 0.127236452436 0.403607458718 0.526082280842 0.7450424723 0.582243030139 0.478316920594 0.446405581402 0.479600594501 0.472320100174 0.504887312348 0.446354852527 0.460319552348 0.136370345856 0.525437783165 0.3670163202 0.293238169273 0.843302258366 0.983228501721 0.90675359649 0.532354151453 0.162057762963 0.0744445735367 0.222263042525 0.00377391923618 0.819447084305 0.471663949515 0.599814476816 0.961582460346 0.104334819403 0.640567787539 0.927714955512 0.137608425335 0.174097371649 0.346883581634 0.474511739788 0.699323169427 0.170293229878 0.621867704892 0.734408904567 0.131171210539 0.0387878433698 0.247518202759 0.746668731371 0.424707077521 0.427228837904 0.566411613015 0.403275464697 0.249773731489 0.933063112152 0.660229565824 0.751792147535 0.540285332663 0.725434974754 0.858022156757 0.493838467248 0.0586108499722 0.418501010383 0.306846453719 0.807192431782 0.698958183517 0.131064100198 0.262269725881 0.259181071427 0.0295981736487 0.103173028072 0.649832324478 0.323721285907 0.022538753405 0.0196115638692 0.871179255018 0.39119317775 0.841544501393 0.264775104438 0.629981076878 0.57198075695 0.0400020768302 0.388664543827 0.365209399556 0.467982649948 0.8028066208 0.83637725442 0.545016857993 0.195512624343 0.308604925433 0.198066828449 0.653561334451 0.429733643855 0.307635628187 0.852499477783 0.894605139079 0.901395316764 0.337650216302 0.791089605454 0.743042695615 0.0146832668674 0.175049869202 0.121980984977 0.0548237704483 0.414375371917 0.403123647381 0.976334914484 0.885628950349 0.135158199923 0.741796663934 0.286702201069 0.140951955404 0.0207787639603 0.392552449034 0.964432533906 0.674700284795 0.919395587657 0.912783849937 0.777035789869 0.533999948725 0.670029654892 0.303571330921 0.472091483056 0.00797509232397 0.642027782067 0.650893554651 0.250084046499 0.254221900347 0.748470638951 0.694926815685 0.599459810043 0.681394921256 0.642008907956 0.341190283433 0.626487671667 0.630676835365 0.478949373049 0.579170656236 0.22319501763 0.292087077939 0.0116202893389 0.983665000479 0.974532551105 0.369188936826 0.47442814311 0.930971947415 0.159139701236 0.0296042402902 0.953591919772 0.1991974912 0.988828267397 0.683092887894 0.400439599004 0.702250917527 0.57033622105 0.270400457929 0.287790067444 0.0483538067666 0.386521406404 0.65163052454 0.164825329115 0.477934598449 0.469122395341 0.35213663344 0.756424246101 0.969682932223 0.54700901069 0.893995577224 0.793579022597 0.477609683592 0.207485738162 0.634324814845 0.132828044353 0.107950380951 0.0956153479052 0.415287676164 0.0193285039353 0.638164246027 0.235802353041 0.147020577367 0.640989475992 0.295546096558 0.384339636013 0.595502459652 0.287386093463 0.990678048703 0.40981905028 0.192085081832 0.0323831377474 0.345092864445 0.804683621876 0.609384299031 0.514341625837 0.871088804532 0.21896640362 0.960856216598 0.714355570733 0.224596418241 0.622515877678 0.807469072511 0.704019920367 0.840713814068 0.117106527328 0.580473750219 0.446138582773 0.558013780849 0.21256805882 0.468576951539 0.0491727358982 0.134149161837 0.642012537906 0.836435852722 0.898411982425 0.133473964456 0.545803056884 0.380418721755 0.0136593055244 0.722501567634 0.847370664262 0.445361412649 0.899828279389 0.035476460466 0.843019118204 0.710245191093 0.924546894078 0.038117314053 0.619600070699 0.215183629536 0.179226456429 0.684240223651 0.244345637011 0.492857752004 0.217087218197 0.0262083244751 0.230405754769 0.888759651364 0.119296667121 0.917117469658 0.72550376585 0.540319195995 0.83822918915 0.865980744175 0.973137442802 0.842536471669 0.248582686526 0.347715594553 0.256032180596 0.115523624182 0.0987962101771 0.359027583306 0.304085489892 0.310986932619 0.352335884666 0.0417994622258 0.23680242645 0.556799597666 0.0374015266549 0.762779238915 0.216173638378 0.271205695761 0.201214414749 0.696160922313 0.746323260135 0.440112573199 0.997435221772 0.684244407472 0.808001024345 0.538348224577 0.251443248968 0.308754461811 0.753530109397 0.171450137062 0.304218910696 0.488288948 0.783633544648 0.0349944613761 0.903139887749 0.959439381421 0.444627129978 0.725120906559 0.825048827974 0.670913051908 0.0208726204107 0.537370758681 0.749790430519 0.515249775239 0.796736982666 0.13548054693 0.89693989832 0.566012419948 0.156240014035 0.305936744326 0.748577713512 0.0549825760136 0.968048372115 0.505275462016 0.731449172905 0.50211776221 0.585765214833 0.38238075707 0.754327632732 0.353715465043 0.586677453313 0.394841904668 0.141431615896 0.199697962529 0.376292331728 0.308841154892 0.300183179796 0.411313915883 0.962407697461 0.652933437975 0.218854715574 0.0132241988133 0.929927961086 0.693391326161 0.887985736984 0.390969968962 0.0879581772172 0.902633725557 0.828461595585 0.954938157692 0.295553096065 0.13900600775 0.277522260683 0.00177209527232 0.455401025395 0.599801733059 0.409096150128 0.0618542846164 0.90679937322 0.940296138779 0.614041073417 0.789346295406 0.959664288268 0.815566412864 0.914253381445 0.399299128982 0.569933594238 0.603871079358 0.950199159111 0.43154616709 0.698886648088 0.212440466948 0.0990604272725 0.281217231575 0.0192536265673 0.628374688719 0.822814170603 0.980745568857 0.728964664873 0.0943918943192 0.0436464374142 0.965321364063 0.844574083053 0.604613521266 0.434305065305 0.120892261098 0.295574929951 0.230862962459 0.437250572967 0.673107042603 0.36677093601 0.783887770311 0.842784713683 0.952348590797 0.398653021323 0.30952168271 0.152488617437 0.458890697018 output 1 316 663 244 693 285 78 897 573 718 547 717 374 647 644 497 166 657 530 278 994 720 35 541 846 615 461 81 359 436 856 167 49 227 788 640 118 337 775 34 433 65 220 711 987 914 24 769 681 384 129 764 179 712 772 634 645 140 778 728 627 230 302 672 44 722 962 288 953 335 89 658 926 590 773 351 928 510 480 603 245 517 205 774 416 548 393 758 594 922 744 210 834 329 369 582 642 890 386 549 542 448 431 687 119 350 559 694 451 801 130 959 685 496 63 33 203 595 991 463 398 123 838 682 506 951 309 110 180 417 237 730 678 428 373 276 235 85 348 797 815 966 324 415 588 318 732 434 437 126 789 257 295 699 323 174 297 345 313 864 305 281 273 258 674 974 478 984 571 193 637 333 719 816 537 619 341 475 155 887 250 57 219 986 263 442 499 630 963 459 311 766 971 873 522 948 891 233 116 643 584 283 412 747 74 983 937 143 770 869 231 454 20 36 101 366 954 981 874 691 806 435 209 578 689 633 222 863 234 936 280 596 533 735 321 141 128 196 569 715 512 133 811 574 602 521 973 269 843 535 738 303 579 242 516 99 292 7 813 911 993 330 509 960 294 291 623 828 805 567 753 491 556 213 353 306 710 229 545 159 620 762 178 925 218 106 614 22 426 401 831 87 900 599 251 859 949 875 746 844 935 958 964 108 780 947 375 840 802 136 145 493 790 471 28 317 248 767 985 771 628 660 274 388 884 979 94 195 918 841 161 631 736 9 761 464 706 907 310 41 721 212 895 163 266 173 745 339 38 855 572 726 673 363 468 54 238 427 483 443 505 515 396 272 799 518 679 6 997 513 669 532 474 411 102 152 50 538 524 653 485 157 649 444 14 750 781 53 360 523 716 293 798 713 197 477 661 854 97 793 21 613 955 495 432 892 996 364 836 10 342 399 820 695 704 484 379 534 48 190 529 191 414 25 881 409 226 878 224 883 708 688 86 249 591 96 526 511 344 743 160 662 255 555 192 169 804 446 261 709 880 105 796 848 956 58 927 59 282 865 577 150 648 23 629 664 807 240 467 392 639 246 514 845 916 355 677 300 702 982 915 279 921 489 95 466 683 675 655 858 175 626 142 304 117 148 241 243 748 131 912 458 899 447 651 382 608 286 338 581 2 127 69 397 47 370 326 259 976 378 998 636 827 990 486 560 77 187 898 189 43 354 605 100 121 268 194 449 15 455 606 214 832 358 207 299 365 888 275 170 343 327 611 314 91 756 740 544 429 933 156 616 162 228 592 597 908 666 665 913 289 561 115 707 83 502 564 381 103 171 934 765 490 975 727 607 64 671 144 779 139 400 520 322 296 992 30 886 553 82 264 612 308 111 114 600 4 331 853 460 336 410 40 944 566 562 413 481 368 724 265 385 62 508 800 404 870 507 39 107 554 946 930 654 585 851 833 479 759 749 352 290 632 247 29 45 328 924 589 757 16 287 122 904 989 12 482 387 422 88 60 917 71 543 692 957 223 153 558 406 80 791 786 334 825 419 184 450 168 465 837 670 861 901 501 380 725 391 943 277 752 604 931 531 18 563 952 254 452 149 919 763 741 896 418 1000 320 217 186 76 903 690 667 819 808 601 609 298 714 113 705 32 803 332 970 134 938 487 319 941 216 147 950 473 885 945 785 860 668 52 456 835 340 552 402 453 394 270 940 347 8 621 818 546 760 587 872 424 910 232 817 469 551 739 177 839 66 225 137 659 440 988 635 961 239 849 550 75 968 519 206 783 371 792 176 377 90 777 879 5 154 995 361 586 795 583 729 977 871 638 939 439 575 539 307 905 199 260 421 784 782 252 362 576 383 809 902 476 367 132 98 11 403 810 920 618 256 93 301 445 202 696 723 407 866 312 462 617 570 390 438 488 500 755 867 625 104 829 733 528 372 357 889 109 423 731 158 932 972 830 768 610 850 978 697 894 253 812 641 420 698 652 61 852 942 405 503 593 877 67 55 46 980 37 470 221 262 208 79 325 92 701 776 565 909 236 395 742 164 17 686 540 684 26 185 842 135 346 826 754 969 165 999 847 862 492 198 857 112 568 84 868 425 124 200 181 624 703 68 700 734 598 656 814 215 267 3 389 794 356 823 120 822 824 650 182 751 70 557 73 146 376 536 42 72 737 183 27 821 680 441 13 188 408 271 201 923 676 965 967 138 527 457 211 430 472 315 646 787 580 19 56 498 494 876 151 882 172 349 906 125 525 284 504 929 51 622 31 893 204 1
0.568858050032 0.653591862465 0.291736862208 0.624065599949 0.135670512327 0.658548261982 0.936183825378 0.227627633717 0.261587991218 0.932094552667 0.448958953683 0.863707549187 0.0626820883889 0.243071079 0.988196994702 0.602059532877 0.112505922035 0.120541427655 0.113571908346 0.62316382593 0.590459270439 0.824782505796 0.780926641177 0.987267547653 0.809800328163 0.791082683573 0.366131987387 0.472724032297 0.152722844107 0.0454366633175 0.623794562309 0.983582029767 0.788234043256 0.425961418108 0.888706127454 0.928073040653 0.631910959514 0.816322971876 0.991334603331 0.0311578941288 0.0420816915566 0.219473077336 0.0820731882168 0.740882553434 0.349050676701 0.809071102252 0.107641907437 0.151452263016 0.854201412326 0.919161469993 0.855175896066 0.792295173964 0.29892208964 0.691904715434 0.131212156051 0.283707617414 0.495119612028 0.815698240374 0.182470236659 0.676486070851 0.125154989304 0.631088204742 0.513288827379 0.566899903751 0.894787286803 0.0535896280681 0.438850524023 0.648973887916 0.67690798136 0.0356713198214 0.889311234348 0.579761599342 0.991917968284 0.246849172292 0.230722993965 0.599209172617 0.89658045746 0.938407619463 0.643682479287 0.3026975651 0.0688235201853 0.717853276321 0.0118601942155 0.0561098978842 0.146391348636 0.189912476486 0.54246776097 0.207485080447 0.871666415656 0.375002791377 0.80108873638 0.144892980003 0.709916557396 0.0582401893616 0.882001160419 0.823687136705 0.838443749709 0.0167102526828 0.347452961326 0.916672735225 0.456432137017 0.555687066248 0.69477042842 0.730384995071 0.115184948155 0.778836128205 0.0156614863697 0.37364078913 0.175403677829 0.973194623053 0.684066673469 0.544864570258 0.823735167643 0.595560483553 0.964252794808 0.825544129479 0.852447051739 0.764136648575 0.792807485113 0.712420427645 0.808371177447 0.722189699369 0.505151419828 0.00654636656663 0.367886311601 0.494723502551 0.850353693765 0.500585496848 0.852525019549 0.318404313401 0.785827982637 0.410035464166 0.274096131307 0.0663933804587 0.353672501471 0.896870408051 0.0489981399079 0.727768206589 0.504587641677 0.492521770117 0.756410521215 0.384724396208 0.299527548746 0.899745463881 0.49444334133 0.151186347716 0.396711732626 0.228097565904 0.534374821207 0.587367683784 0.630648678276 0.121136992086 0.553232225074 0.367312916436 0.866859680604 0.213299206249 0.906070351039 0.820748419091 0.333841864958 0.732238542664 0.0870697953477 0.0824863523987 0.00695371364892 0.298066014161 0.832192748334 0.0885175970249 0.601403897292 0.376966564325 0.0552123561828 0.237042680468 0.651767990852 0.343893112331 0.235116474813 0.859743590983 0.992068156642 0.162694209825 0.887946765741 0.401643475847 0.891303105975 0.972922171738 0.760328559936 0.194633305596 0.816890520503 0.876564537022 0.966200373007 0.586044161574 0.41154376062 0.983490902885 0.616561716725 0.627665458833 0.490817239343 0.417549134184 0.957424136667 0.25515637402 0.857114017173 0.946258609929 0.178693591577 0.794888008591 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524 60 61 440 537 277 423 135 272 13 344 59 26 640 385 578 140 515 572 540 831 989 713 409 611 79 48 546 804 741 417 574 359 316 25 303 984 475 98 707 176 18 39 378 695 229 895 186 379 769 230 418 456 499 653 670 58 225 551 728 752 241 603 340 878 964 90 503 401 835 302 12 874 711 556 255 329 513 391 153 92 262 273 497 538 416 935 853 468 595 664 933 714 564 157 151 411 830 795 856 16 434 631 342 911 772 116 740 355 213 377 194 413 924 189 788 597 969 627 699 29 569 195 575 501 872 526 6 802 227 942 722 968 450 817 827 860 666 94 185 257 469 960 374 452 493 927 952 110 5 805 527 180 981 244 55 636 525 808 555 136 988 683 203 87 947 243 823 766 267 865 286 932 239 477 819 512 747 544 412 494 242 926 459 474 485 828 764 473 615 837 646 218 811 127 767 261 998 718 199 470 197 369 335 689 228 99 217 105 170 558 275 415 457 422 202 716 693 692 757 304 602 444 919 614 944 812 858 953 72 891 360 50 351 68 341 108 237 312 23 875 794 826 529 581 844 80 27 376 893 824 2 881 479 916 354 937 739 326 296 904 744 154 834 53 173 609 22 407 370 652 930 791 482 771 480 492 69 41 531 283 113 10 317 31 579 271 3 372 800 594 414 30 398 516 38 813 864 161 509 859 706 425 137 957 925 143 274 313 126 310 427 613 996 970 138 577 451 976 743 822 510 894 585 235 290 489 801 382 896 486 511 405 231 658 759 868 280 122 999 684 200 619 765 779 201 758 774 915 467 749 966 570 654 251 346 541 205 840 986 381 333 54 687 576 82 552 150 612 784 328 604 959 28 867 104 287 745 43 955 637 520 871 207 674 565 215 438 505 9 954 81 490 669 356 142 843 626 721 152 521 890 24 481 761 223 528 7 85 21 454 336 212 545 146 168 726 42 204 651 563 694 598 476 898 945 380 15 106 487 1000 327 920 982 206 253 530 650 288 309 951 649 978 628 147 560 543 608 321 184 623 187 618 532 171 910 720 591 799 439 559 638 388 762 67 301 832 307 676 371 639 130 167 265 364 295 162 892 166 573 196 62 419 587 912 462 724 584 861 936 782 948 73 729 182 101 773 763 74 294 737 347 156 534 941 429 897 404 829 590 145 458 133 605 549 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132 895 546 105 742 720 592 532 155 764 296 112 343 543 126 648 471 724 248 989 870 647 932 933 381 614 723 84 299 633 293 623 33 451 914 816 490 277 308 686 327 240 68 572 440 910 688 42 275 976 10 128 745 528 825 859 397 50 772 925 232 404 539 833 535 413 37 46 752 583 289 777 545 219 216 426 228 893 224 830 547 734 160 866 998 464 579 771 802 674 182 157 324 863 951 773 512 857 513 860 433 136 74 729 161 328 409 214 936 997 320 65 168 265 35 616 21 760 496 192 355 245 339 958 553 411 935 807 32 710 374 719 691 749 770 983 39 994 38 462 861 552 172 487 880 203 988 700 706 612 922 697 81 164 669 91 900 741 828 587 118 607 257 953 692 531 352 41 575 793 61 442 551 684 653 598 502 629 757 11 400 194 458 940 280 448 337 377 383 306 611 525 628 627 620 666 626 209 954 4 529 457 519 480 242 664 85 820 195 146 129 110 774 891 435 509 796 453 735 391 56 145 338 356 500 22 864 872 619 384 83 781 36 215 443 712 652 62 57 831 16 728 874 461 739 822 417 918 111 361 294 915 613 676 879 835 106 972 878 2 28 153 187 554 199 87 682 481 657 73 72 768 896 94 212 707 779 499 733 538 608 790 143 584 292 9 165 716 220 646 903 140 204 131 148 537 196 751 632 430 980 524 798 794 322 803 198 596 205 977 549 419 278 396 350 917 560 838 447 253 826 995 254 428 217 961 965 130 135 63 725 472 927 810 52 705 418 188 885 504 663 121 920 115 892 202 166 371 908 59 651 459 862 218 124 714 103 969 262 867 100 899 993 326 325 249 116 206 76 387 186 353 269 365 709 913 605 599 285 832 839 252 588 670 812 170 533 184 75 357 139 174 26 883 650 193 945 694 477 849 197 183 597 934 876 104 813 763 792 454 283 622 748 889 979 992 402 488 173 791 814 507 178 238 631 865 981 884 347 398 222 234 113 415 77 314 315 151 474 567 985 542 334 359 635 181 427 685 90 45 354 303 610 795 824 366 97 522 268 526 701 158 737 902 373 321 589 482 385 386 544 591 964 12 406 485 408 699 609 470 305 858 672 247 548 518 578 261 497 358 69 210 405 717 348 341 362 179 367 264 175 805 590 80 756 924 577 340 926 730 207 929 804 636 142 279 659 235 806 990 455 49 429 962 127 769 5 877 675 569 586 424 445 399 855 17 307 208 982 452 986 364 778 787 919 250 911 971 489 823 372 595 23 441 921 624 852 850 766 565 64 6 848 88 491 439 1000 894 154 286 847 776 842 233 221 150 869 468 330 661 302 520 378 939 667 856 563 369 909 740 201 789 758 456 786 272 765 149 493 295 169 114 665 574 732 432 581 47 469 967 297 251 683 200 673 570 434 98 641 274 18 573 243 974 270 678 332 246 287 351 696 282 263 523 25 137 886 14 99 743 576 392 508 987 808 580 300 241 809 401 726 834 854 973 901 506 288 841 79 223 414 671 483 298 342 713 425 437 60 944 19 89 819 119 978 190 510 759 637 948 431 258 606 767 422 304 644 162 797 750 416 687 783 817 780 310 564 259 654 566 736 410 811 873 290 630 744 656 843 368 133 390 156 702 695 689 747 943 82 449 423 840 147 722 271 753 541 13 244 604 897 999 827 460 923 231 991 54 775 163 937 495 30 492 494 727 498 138 800 593 853 963 966 191 571 388 236 882 96 761 266 48 534 55 450 213 189 984 715 916 956 382 473 704 515 255 8 211 906 7 829 31 655 412 941 640 505 393 536 24 123 463 845 95 617 44 679 731 438 868 887 738 898 180 875 102 336 379 284 29 120 316 960 668 1
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69 402 367 336 249 665 111 506 19 898 905 926 891 485 895 496 315 719 677 846 806 757 684 452 290 604 181 807 215 660 701 573 77 690 352 967 629 909 197 975 299 793 208 836 968 868 765 585 80 205 339 888 499 250 10 359 559 224 155 747 848 512 87 674 101 2 90 129 179 827 294 620 681 328 84 722 262 621 927 811 183 286 979 82 566 97 354 210 941 992 860 643 619 581 928 20 498 293 364 592 444 919 885 525 243 595 849 984 897 676 213 705 873 707 449 785 532 507 571 174 703 66 653 864 318 200 123 840 601 104 145 774 579 441 818 209 834 622 387 872 325 408 277 994 695 495 570 794 61 805 668 798 280 612 56 599 658 445 702 385 781 761 600 177 767 9 618 202 568 236 607 851 691 829 721 664 358 962 241 546 151 875 959 993 324 796 768 304 755 341 564 314 759 845 297 887 917 539 345 128 854 285 580 597 550 736 641 944 178 316 492 642 188 633 822 777 638 561 454 751 958 222 990 79 35 98 52 603 7 391 422 912 421 27 229 862 92 680 477 504 380 240 969 321 997 726 427 486 102 317 1000 379 270 433 792 91 310 122 786 450 48 86 255 105 187 634 742 448 400 462 118 6 190 782 340 737 688 171 237 460 81 245 733 852 219 295 114 420 451 809 478 493 727 373 247 522 78 443 390 731 648 804 789 869 195 263 725 778 813 404 110 191 843 533 657 530 474 540 914 268 575 394 966 723 972 287 531 405 24 395 322 844 132 403 125 162 355 825 582 94 820 659 300 16 502 434 588 635 153 640 874 837 945 749 488 346 995 916 947 44 720 121 698 305 21 886 663 470 683 960 342 368 366 3 338 985 67 289 199 115 815 748 376 424 977 594 365 475 692 889 491 302 842 326 981 347 861 810 283 489 437 847 167 937 146 414 327 931 375 136 484 505 74 940 468 554 523 418 242 881 428 351 900 560 763 795 538 235 935 577 389 75 823 923 515 25 740 651 231 284 704 201 211 938 627 730 100 31 401 932 528 766 472 656 233 34 29 654 542 388 396 458 192 939 73 717 161 457 797 826 780 265 773 671 903 988 700 526 830 687 170 942 946 119 244 896 924 646 948 331 158 501 65 218 361 758 711 583 127 45 814 307 991 281 699 269 276 412 363 593 983 933 180 124 649 356 54 551 261 950 880 632 728 899 508 59 8 308 306 416 58 555 64 323 479 883 996 329 53 260 296 343 760 206 779 487 989 419 357 5 220 378 769 974 248 360 138 150 803 353 693 143 116 762 943 689 137 709 142 95 254 686 43 439 232 182 696 266 62 976 417 639 544 548 631 273 817 313 184 406 694 801 480 471 738 630 494 929 238 36 626 980 71 605 117 198 784 708 253 667 217 49 134 126 764 164 743 920 567 750 335 963 714 193 371 432 279 39 715 835 476 518 587 12 713 350 399 516 185 816 303 598 831 957 999 497 166 41 469 771 332 636 850 857 282 333 514 186 865 859 369 650 168 455 812 982 615 28 553 149 311 398 256 429 922 783 824 527 386 716 156 756 257 558 890 910 832 370 589 669 160 175 70 565 672 500 203 556 915 839 666 246 661 970 729 482 348 38 440 706 675 267 841 11 140 189 272 745 431 107 744 520 537 602 741 870 901 907 503 223 521 60 541 644 425 973 85 63 221 913 141 423 264 547 866 906 788 227 878 13 230 819 608 453 288 76 511 207 965 271 576 172 147 159 466 382 978 57 828 392 436 735 613 987 808 879 753 552 637 802 413 194 88 465 838 574 971 120 252 624 42 685 442 103 214 986 459 584 529 884 411 144 892 112 196 1
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198 169 722 770 257 217 373 400 157 486 533 29 193 457 53 412 324 290 704 642 208 147 225 330 311 182 837 669 892 187 224 383 740 881 936 89 397 671 713 136 685 45 262 577 898 444 651 798 413 308 371 450 752 652 392 405 655 65 474 530 222 431 950 983 844 886 602 151 197 88 695 568 637 248 922 518 15 291 776 128 494 92 75 30 18 866 165 764 517 43 784 923 120 930 461 331 254 644 97 584 145 466 996 592 850 139 484 419 358 748 264 134 379 877 908 349 164 549 372 775 223 215 320 572 124 727 842 62 883 633 13 86 12 329 359 994 805 624 650 812 119 917 648 288 471 791 236 980 176 502 261 449 797 135 171 351 202 477 719 377 277 231 345 571 37 988 421 418 166 207 363 756 180 403 361 386 453 195 256 832 553 947 489 664 586 667 732 649 561 317 672 612 115 24 127 794 535 610 816 503 100 914 803 726 682 4 442 720 201 126 698 7 636 276 472 639 103 269 735 416 772 41 573 106 437 133 690 479 382 390 82 696 374 514 427 824 467 85 954 562 250 737 186 701 647 289 817 771 399 522 430 367 339 68 152 353 570 680 933 578 694 130 773 729 160 129 73 245 687 347 429 731 509 158 702 808 312 292 811 167 60 144 55 935 847 488 173 178 749 934 629 666 356 36 286 688 121 513 281 560 110 391 81 365 70 827 774 889 691 428 104 924 608 189 34 789 865 445 388 826 192 607 316 724 540 273 662 96 67 156 507 905 594 835 754 424 709 807 32 252 849 839 258 213 542 661 112 960 259 769 925 294 79 500 931 490 296 270 736 26 455 214 645 333 926 323 904 422 341 531 116 175 656 777 700 631 618 725 149 246 986 74 282 168 519 1000 362 626 87 541 942 551 249 350 802 999 616 598 620 559 574 569 676 11 299 98 532 268 582 543 287 728 447 622 91 872 809 781 14 831 944 338 643 833 204 21 376 420 870 159 184 434 790 974 50 396 239 499 408 295 240 579 997 862 307 968 675 501 834 343 857 304 232 793 525 39 109 393 546 300 836 885 581 19 481 552 17 194 247 235 838 959 762 576 822 853 243 895 51 723 174 454 398 978 757 229 782 575 441 163 665 105 906 591 244 640 446 888 485 938 328 190 211 414 138 458 940 313 478 3 600 410 107 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699 743 452 851 524 939 99 28 603 221 340 496 480 47 493 646 717 132 64 733 596 653 763 747 352 529 913 40 632 963 2 785 170 1
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850 211 262 143 769 538 922 31 10 982 514 194 720 950 11 243 874 554 904 558 908 20 528 956 916 869 469 500 270 460 690 778 417 433 636 207 237 55 443 841 114 717 30 888 272 98 503 907 826 592 8 700 429 853 359 205 71 748 567 958 204 296 838 130 566 177 175 967 768 351 910 305 169 762 658 167 669 153 220 872 525 986 182 836 79 858 455 631 203 897 795 35 925 323 342 497 389 25 113 19 564 54 667 484 630 447 168 729 972 730 582 87 802 371 173 51 45 70 697 617 184 326 13 154 579 595 743 336 873 441 216 409 318 206 733 634 589 570 212 518 987 352 183 899 915 735 835 410 728 134 14 422 545 304 878 454 297 702 668 577 944 755 261 865 947 23 140 263 983 102 53 437 616 191 446 419 398 77 774 738 699 210 147 740 200 952 938 363 340 17 118 461 435 505 431 598 918 144 771 413 646 867 966 827 251 845 269 875 609 628 571 103 770 349 572 415 491 56 822 355 723 425 946 556 380 650 306 997 255 1000 133 230 520 775 344 861 215 524 509 440 372 101 356 375 635 341 181 649 544 111 965 837 12 282 285 604 414 388 93 401 547 39 627 267 214 265 932 38 724 76 403 124 766 615 846 450 773 148 560 456 880 859 426 18 373 814 811 392 459 612 489 430 722 350 763 860 293 52 919 901 692 309 513 476 620 26 792 324 78 197 159 931 61 465 24 362 772 408 568 249 534 843 453 219 562 971 887 445 236 499 233 993 964 787 920 225 129 892 387 126 291 423 444 238 984 583 504 62 384 145 331 46 279 780 508 839 758 217 321 139 198 815 473 674 33 136 973 257 945 701 472 718 150 172 400 614 115 121 467 927 689 682 494 626 713 481 671 885 830 302 618 521 193 273 50 487 896 711 83 110 44 935 458 731 746 438 36 477 809 580 575 106 432 539 391 178 905 606 687 276 600 511 334 683 196 832 909 535 569 416 586 825 48 289 247 502 365 851 828 871 258 242 951 552 889 661 863 725 132 75 917 151 442 16 64 745 287 89 662 960 424 883 607 470 180 801 300 963 807 824 776 347 962 555 684 57 364 913 719 553 985 58 749 338 576 157 866 852 876 327 125 421 394 37 307 991 581 854 301 999 756 549 573 59 47 829 670 100 847 653 940 190 295 517 202 411 332 333 116 512 949 32 736 420 659 366 226 706 624 496 92 259 468 5 192 765 709 313 676 290 523 74 250 605 980 188 407 563 601 95 597 370 957 395 427 657 123 695 187 176 737 357 955 599 199 308 760 80 286 990 619 292 474 281 9 213 6 374 656 793 942 672 60 585 462 166 953 602 948 277 929 584 138 4 881 864 428 561 734 382 902 726 817 434 884 640 377 2 673 912 894 791 385 516 844 240 478 578 185 882 174 339 603 961 280 322 221 638 399 67 498 742 685 903 806 303 936 812 155 137 727 179 629 88 537 325 937 228 275 68 253 457 675 149 543 112 688 805 744 404 550 900 777 320 877 163 542 15 299 969 608 933 705 781 507 315 977 319 222 998 266 91 739 641 260 117 42 565 587 677 131 495 135 122 645 995 65 855 436 715 611 788 976 81 235 704 678 856 3 41 591 664 156 992 978 527 283 146 891 979 223 69 870 337 819 278 160 840 284 679 622 707 767 886 22 367 345 501 804 813 988 239 848 386 934 108 698 405 245 248 785 551 164 72 930 298 652 708 264 714 660 171 141 369 412 989 109 354 360 753 796 271 128 816 353 757 648 754 879 418 361 519 637 314 820 90 797 849 594 119 644 463 397 376 107 165 158 546 82 105 613 510 522 358 189 639 482 663 483 7 1
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322 135 894 163 907 868 126 386 962 225 469 143 38 144 734 708 811 642 619 815 584 576 305 416 366 696 458 537 759 228 930 794 184 128 147 752 44 85 873 782 373 950 367 600 120 336 273 258 711 134 793 107 860 287 470 132 915 365 645 285 214 253 413 175 10 780 742 556 526 319 389 123 61 542 180 104 234 246 167 349 311 117 100 60 651 67 801 748 546 436 919 506 414 791 964 176 4 356 586 603 446 525 56 82 464 503 618 204 878 157 409 515 713 639 456 583 362 861 377 806 63 788 482 864 71 261 824 460 325 590 648 90 476 988 521 280 995 917 604 677 581 34 197 25 259 73 853 971 405 78 575 303 489 43 756 368 905 164 467 523 58 48 778 712 588 944 161 21 969 324 435 193 236 552 652 633 611 183 327 698 673 518 845 727 269 428 267 701 3 803 781 19 874 453 596 914 961 857 200 268 716 954 984 363 18 39 485 620 904 762 632 473 614 589 880 745 643 854 883 244 828 300 188 422 83 345 538 182 92 383 217 474 683 222 946 699 725 475 516 848 741 265 779 455 488 137 934 198 890 528 313 279 152 295 146 223 154 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760 105 706 353 899 611 387 962 384 157 26 104 202 457 150 886 355 126 982 456 367 407 822 497 958 554 765 547 687 802 45 786 343 857 271 640 946 321 316 882 487 859 399 35 521 778 993 107 721 582 217 441 226 576 81 635 601 223 584 314 978 463 983 564 607 663 650 994 288 296 716 591 989 537 520 299 861 638 315 418 65 137 661 737 674 469 24 102 594 587 320 985 974 200 403 791 180 78 821 725 15 556 225 53 967 845 411 715 464 465 473 622 310 588 415 844 433 177 322 987 127 340 370 922 62 543 267 763 56 665 550 229 477 431 184 447 926 408 682 222 362 76 824 815 75 241 758 64 5 692 651 720 754 67 427 368 710 708 121 759 510 843 357 155 988 507 880 953 775 920 695 391 505 236 161 195 851 30 260 330 959 164 848 19 906 112 168 672 453 519 734 178 182 74 167 119 805 511 344 106 420 48 118 696 87 233 798 718 565 744 31 454 685 836 293 569 124 389 911 386 131 92 72 395 289 398 814 365 741 303 356 690 908 777 25 88 503 677 879 17 619 551 238 807 273 358 898 870 111 141 942 94 171 240 727 574 630 311 634 170 903 600 862 508 580 247 301 333 437 769 599 397 179 476 597 998 169 50 439 492 790 77 557 268 394 694 359 444 328 691 481 573 592 317 996 636 956 93 339 724 70 954 298 335 307 423 606 160 560 475 518 667 603 73 55 659 458 175 8 894 489 913 47 540 646 470 272 726 242 660 811 462 755 656 648 37 134 36 504 194 18 834 329 792 392 494 810 412 767 12 378 214 306 563 604 668 245 683 128 555 616 479 662 797 929 838 731 369 869 999 204 932 326 495 193 795 451 319 360 29 961 381 414 931 796 351 176 872 818 259 705 637 746 602 14 287 921 436 964 955 757 297 643 249 516 52 893 831 625 653 833 27 254 324 422 181 980 16 491 738 698 58 154 190 991 785 941 936 3 945 486 545 739 865 191 633 109 621 923 825 816 248 641 526 904 618 910 627 761 443 774 613 13 780 947 201 86 21 533 302 517 345 348 376 620 977 527 211 294 881 234 970 341 719 71 585 63 342 542 276 975 877 579 572 484 1000 890 793 114 300 97 183 216 743 371 559 466 657 445 522 135 90 199 85 990 937 459 875 817 889 693 257 897 912 252 847 467 918 575 525 887 57 449 654 435 44 925 664 652 916 782 61 364 595 332 581 972 823 583 960 830 789 578 570 430 935 928 524 839 349 675 336 419 270 863 220 820 957 986 855 681 198 173 143 452 153 849 450 850 401 9 125 939 212 541 530 840 827 323 750 374 232 768 553 266 806 927 799 770 425 210 749 973 221 138 261 432 586 429 617 318 400 788 803 213 538 82 608 116 84 779 174 46 23 971 34 722 684 841 327 950 482 944 496 196 144 728 819 772 208 382 689 529 804 846 753 506 421 166 132 835 149 984 512 896 626 891 493 100 101 338 915 4 283 147 917 562 703 416 645 701 895 455 680 781 262 130 258 878 6 976 686 709 142 549 413 852 828 571 981 231 735 940 140 702 546 700 900 515 291 424 596 483 868 628 567 748 406 396 577 41 393 762 801 876 568 864 383 499 902 390 373 32 924 244 826 253 590 377 95 215 409 963 189 729 513 460 532 235 434 372 246 203 263 40 158 278 80 858 286 561 172 219 644 624 866 531 756 948 243 145 733 207 930 773 197 776 952 655 732 528 713 856 766 115 500 279 218 639 239 438 860 502 472 2 461 966 68 33 99 747 678 255 59 347 813 410 7 405 609 224 498 417 829 308 730 969 428 11 282 717 163 325 673 281 122 379 1
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0.621166586592 0.384874360675 0.0215710140925 0.651985297445 0.504890547652 0.635237971601 0.49389552516 0.645276802104 0.856538741395 0.459063585834 0.695431100778 0.785131910083 0.181258100754 0.510305799004 0.170948785547 0.96056252926 0.644418864622 0.948340502919 0.898397405204 0.335692762661 0.739433582242 0.960635016671 0.267205416172 0.805237730796 0.207532562685 0.982429849945 0.230631850802 0.180103414102 0.582158502296 0.158251947263 0.926148210484 0.487497010967 0.875253429787 0.0140769758192 0.133809110659 0.662372048426 0.171151180795 0.615023410796 0.27139941869 0.0293131091821 0.817119561776 0.711330299258 0.0446171104855 0.918562008689 0.508761999439 0.556115439442 0.331560417889 0.687407695953 0.106490272301 0.0641249660463 0.136953636892 0.231342080027 0.403165863924 0.938411610451 0.181711588035 0.20422542335 0.299572270103 0.896310355958 0.148225966931 0.733255228264 0.0425233521049 0.63125019358 0.487312453927 0.0345624157639 0.547804100135 0.437884276585 0.714471452613 0.662900898561 0.197469784756 0.45992930355 0.871194020926 0.332172156033 0.969820457763 0.212791362175 0.73468691606 0.874692203481 0.573014017446 0.00384730126377 0.936509042455 0.487203754932 0.968306312626 0.228496384716 0.348096552928 0.983698654721 0.834045312124 0.822195391481 0.688131972613 0.683549887632 0.209465796795 0.401797241436 0.601261745851 0.364734840289 0.713116257895 0.530825617021 0.775813183952 0.444220200065 0.170246835399 0.235157863818 0.237202281044 0.556897919575 0.505734254415 0.29730038752 0.903872675686 0.000639857765623 0.66229925278 0.133044017813 0.0661085489707 0.225645991657 0.303852852337 0.546845038519 0.282482771424 0.350517886164 0.910340308406 0.150612387235 0.178824736043 0.242724675572 0.47645876307 0.0217916922594 0.470739421323 0.676114352174 0.88606939767 0.784409847624 0.24066157288 0.0812015319854 0.230791831998 0.290284070504 0.795493053522 0.449936104876 0.423655090494 0.40040557546 0.207428893465 0.281524446958 0.63075634104 0.375441979011 0.198493442733 0.703801089232 0.780072700978 0.314572081105 0.959610022668 0.411542758845 0.35863489986 0.300775296891 0.847871402734 0.33030665547 0.595822270581 0.683348031104 0.192166634609 0.27681884856 0.254176923609 0.168461123717 0.969808984781 0.819063289207 0.831076857165 0.0235492717615 0.412598826329 0.157751021844 0.280187702744 0.414761079519 0.202147100738 0.472914321659 0.195356829628 0.76841128785 0.937331978291 0.891547305468 0.963339738047 0.745913140355 0.57422326569 0.644739810021 0.44302049795 0.329783473315 0.588403054335 0.624006581334 0.24438154847 0.51291078835 0.77289081074 0.824742540325 0.470125500075 0.384230266802 0.488386165434 0.0386728400262 0.559402054865 0.631307346408 0.954185816787 0.322497493457 0.182384300627 0.145745397186 0.823621120457 0.43430019279 0.842186431844 0.34389890191 0.591065507917 0.0239220406853 0.795379503318 0.722514152644 0.94523992577 0.841951913589 0.806895666959 0.158705152643 0.722687724809 0.0799286267923 0.892375941545 0.851579741575 0.0235548189146 0.946922112541 0.906939751918 0.555169984114 0.625258048214 0.812264375819 0.108526079111 0.759573986025 0.336547591032 0.726816480936 0.0994552777732 0.764089422723 0.652451177849 0.21857559848 0.199846600113 0.145504330512 0.830427651341 0.990629880054 0.483987990993 0.960195202744 0.89776613806 0.306317204638 0.872396670078 0.689348220419 0.560275673482 0.908588330133 0.514962135669 0.372313184186 0.755610802123 0.878500902099 0.216379163599 0.706157577754 0.498525932845 0.08406874507 0.659499161874 0.73425468915 0.98515438632 0.68301369464 0.113647085735 0.0319138804667 0.105408803321 0.636088998262 0.775283598509 0.16510279481 0.516505207759 0.363889250742 0.611719802164 0.669086586491 0.727068549992 0.902291053391 0.432601728158 0.565907971676 0.690109214687 0.810885451718 0.798342959252 0.593221147003 0.437306059569 0.6013873615 0.605111275977 0.989458647002 0.945888455309 0.0692546735573 0.884603133827 0.752583645603 0.23165793854 0.118656071085 0.378541143305 0.720636452064 0.816727095566 0.518804120598 0.32038822087 0.834266753997 0.935507406539 0.110916515628 0.303276191425 0.280127798796 0.74499295659 0.239868920851 0.426701688462 0.0273156139251 0.320736331787 0.767568202114 0.740764704276 0.0387974885324 0.316482576164 0.16537411312 0.613959306028 0.727429512846 0.648610574005 0.621603990645 0.402141198566 0.544509507133 0.137367230706 0.6658832773 0.279700737636 0.55943850054 0.687143083312 0.83804025198 0.0683754629253 0.159248033659 0.225292815484 0.565909779195 0.446219546772 0.905101430324 0.445250615334 0.245206680888 0.484758616259 0.539853100472 0.866297436503 0.546839541354 0.648019703485 0.277853631929 0.643654349172 0.998675482964 0.407271878548 0.528222719789 0.254818188854 0.0799220139771 0.982924579062 0.359570311008 0.6011608956 0.671797134283 0.890194416697 0.516971312582 0.567089602684 0.684286937447 0.600717468556 0.413876103487 0.546396266044 0.229897384677 0.874294423484 0.502581903449 0.837288813445 0.925798130654 0.136020845911 0.607412750607 0.970791593201 0.321823376606 0.230526254971 0.157511237825 0.584601130546 0.673792755104 0.992054315647 0.807700945231 0.611905416932 0.423650742158 0.10369854941 0.528265735195 0.836138987617 0.838057346325 0.669545881678 0.724201344274 0.0393167163191 0.792670730071 0.388187826249 0.0582715587798 0.000338807088037 0.844968562265 0.55861303823 0.0860277534986 0.666587312624 0.735601668786 0.887713796146 0.526090511537 0.237054813752 0.235928995918 0.577832756661 0.929330678412 0.707784400839 0.924813546855 0.228746651365 0.525878482292 0.0257525553165 0.561093768363 0.854774098959 0.795680743307 0.493154422988 0.873732420133 0.135498492055 0.815654886593 0.408278957428 0.237318520709 0.306521997188 0.161488721934 0.408943061103 0.510647991707 0.758149649017 0.967900346945 0.864355288992 0.653996121322 0.27211747849 0.607944460705 0.463246446697 0.252166483819 0.227890912903 0.378608635569 0.86665702435 0.571091646351 0.40169640491 0.366637424202 0.017412683901 0.879930488775 0.41563562647 0.630319205308 0.11853666692 0.581138771049 0.985090611073 0.583592724607 0.396382068788 0.947340095795 0.0111970523089 0.254688711148 0.377157942748 0.858614604849 0.0533856071996 0.659614826381 0.214026307232 0.458484399093 0.767101659762 0.268261640697 0.507462329408 0.810255487106 0.479361338339 0.278795810688 0.629390496107 0.95514318324 0.759189470855 0.347966519509 0.314186963747 0.862484946164 0.945000842353 0.635113469866 0.798615551835 0.604732622415 0.544872547459 0.568587223751 0.184366518726 0.792138082783 0.909025677891 0.855093997052 0.320985126515 0.313095039987 0.0382812596493 0.339356774072 0.493697825907 0.0202870250442 0.220901597853 0.793060471609 0.352304241593 0.112171122036 0.685614703425 0.997167882632 0.564294219089 0.548664147949 0.22664055394 0.447840715621 0.110716931551 0.305099287095 0.835712391087 0.393159843831 0.81813844532 0.323752365039 0.326863973008 0.404631813 0.189078649956 0.713682092641 0.343802491026 0.679652558254 0.489120860242 0.691934033434 0.127729652993 0.594807808395 0.060085234232 0.861349528072 0.0050054193909 0.938313520812 0.515389828893 0.0829339243525 0.351873107117 0.732508592111 0.741238762222 0.906217079985 0.0250944808366 0.748179766507 0.985241711855 0.233657035939 0.673216317803 0.726372089753 0.359483170414 0.960782754726 0.368592907263 0.284083941285 0.425717509356 0.0628723680127 0.691857659527 0.39157183163 0.13296002749 0.746389694719 0.0925396717649 0.440235440414 0.783752736157 0.644328369028 0.234143625326 0.753903142599 0.113147606507 0.195068400287 0.174418087331 0.841491417233 0.743148665276 0.756555850631 0.505332281823 0.889703003153 0.317758175178 0.445830623094 0.227728820886 0.50260019871 0.778037628334 0.477461726179 0.207939028971 0.291638931663 0.965141611289 0.509875086908 0.468845687803 0.372869932411 0.361332481452 0.318527345343 0.98388255203 0.434126866357 0.58584361694 0.191768054485 0.32044455692 0.245723204936 0.783275477047 0.581610094782 0.468801717955 0.329701034906 0.793426920695 0.422982031518 0.722559364304 0.126086618373 0.386048894191 0.726557838858 0.0420798114521 0.289665291196 0.16608614163 0.576308886639 0.647135712487 0.783696009554 0.955701325238 0.587929771354 0.632111188357 0.361238914082 0.977274608688 0.277172829651 0.324994104855 0.3979040924 0.539815651951 0.418509034327 0.893422189966 0.897578876203 0.475487275618 0.702813419931 0.792790268804 0.561670087668 0.212400494665 0.143419038261 0.111814089963 0.824963314061 0.628715452936 0.365329166426 0.77968038536 0.475769308374 0.97263531372 0.487703936329 0.461249322438 0.46643507827 0.100479544589 0.386447353361 0.543052395279 0.880603999428 0.751182981582 0.275430883716 0.799194039388 0.0993097412002 0.258173470805 0.679072661233 0.236099478105 0.0417230338394 0.043797925222 0.365498024851 0.250986290953 0.804063045366 0.214523399242 0.581482134664 0.930098602836 0.283383023344 0.863359918278 0.828990193529 0.111535179859 0.915795539611 0.164797369984 0.430997749973 0.295226597459 0.349705966171 0.93757695919 0.727784248969 0.695213847823 0.0513737219396 0.618648448325 0.826485232441 output 1 357 155 127 533 703 908 106 588 452 825 852 78 921 246 394 282 705 889 167 346 804 358 150 607 57 235 249 28 624 147 467 497 198 48 245 776 326 630 975 678 247 448 862 614 456 108 373 129 556 29 225 660 782 21 526 477 140 822 387 213 700 152 677 950 69 791 666 115 256 79 715 371 372 176 329 248 12 684 621 686 62 509 84 529 168 962 977 650 823 912 548 946 77 170 437 890 123 149 94 807 564 143 314 827 755 318 617 994 277 883 441 682 648 609 737 870 424 308 312 351 795 915 792 38 770 284 867 565 429 515 261 777 345 998 328 814 210 463 141 911 631 156 215 639 899 970 263 324 797 111 894 850 626 365 877 857 861 645 710 734 239 310 956 982 391 465 959 681 764 536 323 161 855 384 475 864 350 786 616 972 91 993 274 71 806 392 395 513 567 93 560 583 585 672 481 763 468 926 789 766 598 31 730 398 231 704 385 139 376 227 14 925 788 255 206 699 547 64 101 830 321 40 618 954 981 758 742 181 964 219 286 135 474 419 58 909 670 579 408 634 399 986 492 905 449 834 499 99 204 817 244 793 7 191 987 189 622 545 524 651 403 121 751 202 735 257 938 731 211 98 561 361 132 832 370 469 252 826 522 746 240 711 294 771 438 837 269 520 442 794 173 965 375 689 214 999 557 349 615 685 600 790 473 733 690 341 875 586 440 613 601 207 860 105 44 175 331 296 85 416 960 180 709 589 92 574 356 178 747 447 151 272 200 159 802 411 347 388 236 483 851 133 222 153 480 971 980 761 680 595 695 27 374 859 868 566 674 36 362 974 727 675 444 431 234 552 75 195 641 288 668 407 425 430 943 154 307 148 359 291 636 741 525 572 534 297 237 390 840 471 580 527 728 687 738 114 451 209 939 871 435 876 813 316 969 11 519 32 13 420 330 87 642 482 264 839 250 405 819 856 767 866 858 778 785 780 186 205 185 232 470 654 922 913 717 849 262 338 368 821 56 841 853 888 369 382 606 543 983 103 260 657 759 169 283 577 895 528 549 281 779 963 518 957 783 453 584 809 818 656 97 80 293 740 35 489 107 166 745 221 907 393 160 410 327 892 848 268 886 217 629 941 765 958 916 486 997 750 17 757 86 47 955 760 768 466 378 752 743 37 722 402 226 878 110 254 612 833 961 193 485 67 838 887 647 667 22 693 920 439 521 772 436 177 199 230 386 812 934 599 503 784 726 918 118 753 472 835 117 576 43 597 942 90 490 267 336 873 546 491 495 125 116 714 989 301 295 309 756 854 418 828 10 632 769 157 708 865 978 803 364 787 131 292 26 461 550 344 593 333 655 671 665 332 558 815 619 719 596 502 602 587 182 23 126 279 4 507 662 397 421 538 625 845 334 401 640 948 315 74 748 413 901 967 319 41 620 568 720 165 514 924 458 138 73 414 501 508 39 212 493 893 83 253 773 120 72 355 433 50 412 973 927 590 354 691 539 278 952 163 224 664 136 197 46 445 749 322 251 504 242 591 569 683 479 428 179 897 335 400 162 824 643 174 697 698 930 976 112 754 223 484 553 130 966 829 935 800 649 718 929 446 342 404 3 523 122 287 511 19 891 659 61 243 843 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666 192 729 94 283 312 147 461 4 472 130 828 249 857 121 877 821 278 352 971 655 259 217 519 839 539 768 553 393 366 888 935 127 343 308 997 890 599 881 333 656 276 420 826 879 475 597 998 944 860 937 357 573 438 50 536 72 310 736 101 158 478 392 234 397 777 361 239 367 588 605 990 379 554 571 350 487 468 606 756 161 377 206 255 731 829 254 466 331 933 67 368 647 224 337 940 105 167 362 782 363 870 416 210 152 541 894 194 347 433 780 476 551 52 464 950 816 441 850 953 943 374 489 503 546 618 199 526 83 910 720 99 960 500 620 584 899 830 909 264 231 169 692 683 576 714 139 6 532 975 930 98 223 146 351 632 633 56 138 651 300 587 709 173 240 762 253 162 179 640 277 365 12 926 29 897 809 548 744 336 986 226 703 558 917 290 585 222 869 859 638 272 291 136 775 122 381 447 803 560 659 265 834 483 150 229 814 426 141 884 754 405 492 865 155 157 91 716 314 181 616 815 529 245 958 963 40 58 985 976 342 125 112 661 690 92 679 510 949 20 477 301 349 706 404 344 908 675 723 148 118 846 627 299 778 481 946 34 838 378 645 824 871 900 407 151 322 642 171 267 525 383 547 208 999 771 406 853 232 467 808 15 789 791 132 951 482 160 916 514 77 435 913 807 207 508 700 567 977 195 956 391 823 798 48 689 450 578 948 527 186 153 563 718 806 592 636 69 80 994 672 281 465 498 338 825 564 613 88 712 988 520 902 774 622 396 95 35 412 695 781 79 691 427 583 928 628 485 947 172 286 591 399 552 630 225 233 497 202 462 557 945 973 726 182 268 509 737 907 660 513 868 71 2 61 767 218 84 66 641 248 33 135 658 854 813 833 78 898 748 812 297 506 170 317 220 981 423 284 90 400 37 440 912 802 724 941 424 708 452 21 982 355 190 115 114 867 847 987 490 251 882 783 993 772 159 271 402 201 7 116 103 667 561 164 889 686 817 790 818 991 356 120 992 445 298 842 394 289 294 896 637 471 734 470 594 346 722 914 494 221 657 180 837 959 165 63 763 784 413 320 212 455 318 761 739 75 669 719 801 932 86 702 579 521 523 376 19 111 432 131 448 260 501 876 840 282 353 154 348 698 458 770 47 22 41 421 205 776 5 970 577 684 82 59 979 663 100 568 55 611 96 326 861 287 18 810 688 106 858 429 694 978 972 844 674 919 961 677 939 965 126 246 230 214 28 354 968 197 921 601 73 967 443 252 984 648 728 811 849 664 11 646 822 23 980 769 422 17 827 750 258 386 263 57 109 198 51 904 76 608 927 145 64 442 193 425 732 556 623 309 417 676 516 296 328 549 524 602 325 60 216 54 307 437 533 848 856 542 905 68 49 685 257 682 570 496 885 764 964 262 25 269 832 183 473 699 800 603 213 124 27 969 727 864 974 140 954 786 81 53 321 787 13 10 315 453 319 30 721 451 989 574 758 747 901 593 805 693 113 439 550 733 446 957 444 227 746 996 31 749 505 184 891 569 625 794 705 615 340 275 89 995 504 596 604 395 428 555 330 65 515 305 955 123 892 110 371 345 1000 545 247 117 219 408 292 566 495 697 612 339 600 713 142 796 668 388 499 741 730 316 936 619 43 295 484 643 924 3 751 755 738 938 701 24 311 911 244 324 486 45 306 176 760 189 922 934 595 843 313 753 621 119 559 431 512 820 880 256 665 39 382 188 735 237 598 855 403 942 177 480 418 304 543 36 166 662 836 456 617 97 872 463 242 360 303 358 380 792 517 680 572 387 696 285 687 274 614 757 650 133 639 779 562 652 538 469 785 1
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121 506 679 111 486 384 789 541 527 539 489 397 130 878 755 680 97 847 933 370 530 25 968 190 206 248 463 880 962 10 820 729 439 60 58 421 17 623 39 24 918 487 763 168 749 368 195 142 311 756 361 631 992 767 85 526 490 227 40 956 104 637 90 615 261 482 184 664 457 259 677 611 984 234 874 943 253 667 663 685 801 580 264 214 703 988 100 358 153 772 645 497 776 274 684 610 862 826 854 128 407 501 513 491 210 893 563 825 281 977 331 188 916 410 800 771 126 236 547 23 559 318 848 596 707 30 783 594 841 809 942 344 701 535 673 676 909 732 536 525 798 159 612 700 829 648 431 774 567 386 832 271 786 230 151 420 546 949 917 136 449 182 716 913 715 83 994 175 659 937 108 846 781 243 211 34 146 817 238 441 131 323 398 903 990 434 656 231 428 582 106 597 298 741 895 273 461 998 548 945 644 495 233 653 320 81 364 861 629 607 475 204 186 864 652 52 794 75 978 416 683 37 540 41 388 471 247 697 312 31 374 232 359 844 773 655 305 710 502 115 950 413 964 954 792 418 816 952 811 877 387 78 300 156 529 366 272 586 941 936 853 587 971 258 568 43 291 338 432 668 350 283 74 21 77 572 35 717 704 114 32 176 466 944 45 961 985 649 336 905 479 499 228 751 316 614 728 469 953 217 241 54 345 589 508 906 437 226 711 923 219 66 622 762 426 643 706 496 951 365 775 187 396 485 938 95 958 224 11 858 196 777 670 564 92 967 500 556 920 456 662 769 354 392 393 892 12 80 225 957 292 256 56 425 688 966 725 779 289 515 734 127 166 82 144 314 442 890 353 181 222 119 84 268 99 930 579 660 245 753 633 62 203 636 632 343 531 73 929 208 110 404 198 927 96 352 671 467 554 627 696 555 908 453 239 162 585 102 333 738 249 883 8 830 379 857 694 19 147 987 804 896 621 306 403 837 65 934 731 991 342 381 129 778 64 522 440 88 478 902 296 764 693 401 179 509 959 855 793 50 641 523 504 212 377 242 480 787 705 26 171 797 385 117 288 250 199 213 277 746 669 955 609 925 433 339 167 372 423 237 36 976 389 376 784 871 884 468 91 897 154 859 742 730 76 606 881 733 818 310 177 856 28 577 275 638 810 747 476 266 911 687 624 309 532 304 838 736 907 22 570 842 438 484 254 462 269 873 169 483 828 689 740 395 598 543 875 788 103 511 382 865 551 498 619 870 5 592 561 400 796 194 424 745 422 507 790 335 160 686 122 808 267 303 768 514 518 912 894 444 46 402 415 315 692 161 538 319 367 947 852 93 646 935 834 503 427 340 571 414 600 721 473 528 53 562 454 406 557 965 630 565 215 152 851 71 534 743 452 727 255 601 460 105 910 183 116 868 295 341 6 519 654 613 408 278 761 699 284 635 125 163 4 139 148 29 972 963 723 544 263 170 307 760 260 891 412 134 191 235 806 973 137 980 939 302 766 642 845 132 436 885 712 337 524 672 325 14 157 946 86 863 118 205 812 785 355 493 628 616 13 620 113 765 297 57 605 634 625 593 922 200 824 713 172 450 229 574 823 9 405 724 752 750 287 165 42 542 982 726 999 417 995 505 2 270 494 59 926 124 173 145 326 276 492 16 919 178 290 640 18 573 390 347 327 299 351 383 860 455 51 590 317 718 149 872 285 240 329 876 960 244 720 293 246 744 975 20 550 553 67 334 869 477 604 691 602 802 87 27 135 661 651 759 101 924 3 882 164 578 1
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962 306 142 19 440 690 289 322 516 684 944 444 257 778 47 725 856 722 114 796 285 192 337 797 905 418 373 550 858 599 884 783 780 58 915 734 538 489 216 100 547 941 667 173 574 545 476 147 681 73 664 900 593 254 103 501 409 773 748 308 785 887 357 955 401 816 756 451 948 862 744 671 172 307 462 682 298 250 845 135 26 836 938 677 442 826 911 51 994 788 947 967 371 116 810 514 282 467 954 703 150 789 67 245 97 330 477 153 596 844 977 188 672 244 860 749 877 169 333 656 567 508 259 883 521 869 961 502 563 928 441 194 390 77 520 181 109 723 510 561 903 358 159 239 590 964 787 499 115 466 936 362 161 969 46 212 886 102 222 533 507 137 219 320 647 841 659 861 69 280 632 644 963 198 288 712 759 63 16 492 435 455 849 591 157 530 874 113 724 572 674 997 552 229 94 837 945 202 488 350 120 204 555 74 234 18 141 624 798 360 619 145 131 96 450 775 603 465 939 329 50 174 512 982 500 264 893 584 597 906 594 527 736 746 772 781 105 833 605 918 42 498 718 840 636 504 37 779 171 898 974 582 958 766 971 614 365 769 24 260 909 31 698 422 556 190 604 327 338 732 398 721 278 215 536 271 528 880 79 56 719 49 148 439 630 897 986 167 277 571 937 22 831 549 156 922 263 714 786 800 184 429 985 979 610 325 119 472 434 151 17 913 808 84 726 368 675 182 583 85 616 195 765 220 493 651 121 414 218 742 407 848 408 226 377 586 881 602 916 710 314 203 933 7 930 822 29 252 623 965 214 293 127 927 960 943 269 343 901 705 295 704 36 568 753 411 423 601 21 370 417 515 458 186 914 565 758 72 421 81 751 694 217 815 340 641 871 392 534 68 990 300 882 558 503 354 673 934 809 931 804 784 494 201 187 879 55 75 819 581 247 588 668 349 670 12 715 381 761 89 425 842 924 709 369 639 745 770 763 447 207 457 20 957 375 738 579 731 376 851 449 413 580 473 888 176 155 154 125 205 191 867 972 771 720 416 923 511 872 91 532 139 868 261 876 701 432 728 847 237 767 852 799 665 464 885 518 626 6 334 693 557 146 86 735 865 4 14 9 764 495 631 755 707 30 332 335 110 646 627 834 821 54 230 895 341 1000 283 374 311 324 959 774 53 949 645 544 695 232 814 57 143 196 424 560 66 688 383 419 803 378 52 62 829 275 321 679 359 228 323 692 952 309 825 539 342 256 356 420 351 453 28 864 739 107 912 662 286 175 255 777 697 526 352 223 132 496 637 606 246 553 743 564 617 281 93 168 835 318 902 353 379 908 361 650 328 38 866 920 648 210 389 152 200 663 415 23 925 317 199 968 48 3 622 179 448 126 460 625 480 940 853 554 122 339 805 562 136 70 446 265 687 750 490 485 595 818 896 316 468 406 910 509 702 258 162 95 699 998 506 976 385 987 8 907 438 737 284 983 344 64 828 345 708 78 384 474 978 76 892 397 33 540 189 32 655 830 576 807 638 367 481 791 577 951 740 363 634 680 305 984 890 989 683 445 253 730 149 470 917 208 491 267 999 942 209 543 843 164 235 471 608 403 108 996 13 348 973 128 242 813 273 133 138 185 993 35 178 904 399 231 65 292 589 301 394 461 279 405 570 183 469 193 793 585 790 34 652 975 658 427 741 240 118 104 689 331 44 980 303 846 433 396 782 393 643 130 966 382 566 919 456 426 762 995 678 227 827 206 262 211 326 290 101 45 855 525 41 241 243 696 302 355 640 410 431 768 535 551 297 1
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0.624895948113 0.467947370846 0.376479293583 0.951703835553 0.611204865974 0.24480655256 0.877700017362 0.606473437899 0.39602864982 0.936173002936 0.336633233907 0.165237879336 0.495969798287 0.121147038673 0.035901186699 0.58301780369 0.772283185972 0.581808403848 0.427484808267 0.685462868201 0.0864031333771 0.910366820873 0.35931869968 0.522319536332 0.897218754299 0.767739839514 0.0226053258761 0.733024599677 0.365510004147 0.491378095942 0.877957460086 0.020735011711 0.427401513756 0.0825490077001 0.600751111641 0.256316062367 0.845099416877 0.253373886337 0.661735274116 0.039560792438 0.216025585962 0.571442954072 0.78538373118 0.316357251096 0.247557580193 0.967022980171 0.282146955967 0.973760081393 0.740152500624 0.448259426574 0.717046178733 0.162569580928 0.929452303197 0.789506052819 0.583409254267 0.0799322606536 0.866333198821 0.182116301752 0.253243910329 0.397667923273 0.645610500876 0.729268817526 0.722457577693 0.91493759436 0.175607373805 0.264169958481 0.791752484993 0.956493892623 0.379130177699 0.822246456283 0.466223331635 0.795226741534 0.0712208706263 0.833565068827 0.205169849467 0.356946789188 0.468488085367 0.545569652965 0.689432446437 0.686425722265 0.352554003242 0.017052372112 0.193428713379 0.146986047609 0.99673510814 0.424726891872 0.177908505898 0.279989928087 0.095820311765 0.771947565818 0.679153941574 0.6817353099 0.472418666178 0.112095079429 0.0497884846364 0.773134181501 0.29236479591 0.122053417951 0.363138812031 0.572830036262 0.841025269301 0.992090404751 0.829039533502 0.148593947545 0.1602485971 0.124102129632 0.0601141296088 0.959276809791 0.83073158145 0.579741923782 0.505244632613 0.0987868203572 0.72711862513 0.534103329711 0.522368909811 0.518833259153 0.947513843471 0.774720622099 0.254871371566 0.594616474791 0.784979706658 0.482063187634 0.236809199848 0.525381331314 0.518182699164 0.344772930181 0.466216279491 0.97440188618 0.700881313877 0.504242280939 0.457837080768 0.969853244635 0.232976526367 0.0779750688165 0.00881344106563 0.239251036324 0.563563031054 0.614600055012 0.295640550196 0.238831456227 0.479047074891 0.156894285021 0.748593108973 0.771764491534 0.881742618158 0.717226888446 0.106223018772 0.334928434144 0.603150200345 0.794190168926 0.866918450172 0.532617698286 0.724459292608 0.838232695467 0.337178450852 0.699103915056 0.204150841967 0.680939867655 0.4671107958 0.251778571145 0.889294298867 0.484675780982 0.547180986522 0.370107023609 0.108475277492 0.543422687405 0.820230257053 0.506703524439 0.817823406347 0.376173001669 0.909427762599 0.209206058689 0.819289552861 0.0956852862839 0.172940175868 0.520345637585 0.439782925865 0.91197608151 0.668422757705 0.187752994925 0.024600805875 0.420772406005 0.640052656782 0.808583275917 0.328943763213 0.505038472749 0.0135228419638 0.247725249712 0.0222329216887 0.663989742452 0.466413944376 0.407069936394 0.730168672235 0.615015198825 0.98498381408 0.579129230062 0.135010673041 0.281712828504 0.641306448928 0.154220544864 0.902711971836 0.241473052633 0.67978979105 0.299570451419 0.63573621663 0.109411203877 0.191198810425 0.848135346538 0.347823961969 0.582650152903 0.732479867388 0.474994379126 0.704559537973 0.00541693179257 0.922164073493 0.290881194879 0.697068528943 0.934879234051 0.147201438727 0.694011834933 0.140241707166 0.581064353236 0.0814044228229 0.200526751936 0.115373877445 0.49204277019 0.0560753892347 0.484324281791 0.562704366069 0.583105037859 0.596972670969 0.983616091824 0.98025363849 0.53144893616 0.0868090760165 0.68043481825 0.221405162429 0.970653351539 0.775948351372 0.583763435742 0.163337385506 0.294000876566 0.18045176141 0.276174688479 0.841752030705 0.0566550974284 0.196605068749 0.502577675013 0.565230913013 0.318282608735 0.205611476365 0.155668348485 0.284304183461 0.357573849843 0.934362488444 0.925731120559 0.265542048171 0.864673867092 0.827625408031 0.189438136071 0.108817431431 0.433628339918 0.684232277064 0.260205472166 0.651472823 0.640173294836 0.642531196567 0.223101875283 0.875400864938 0.183252492255 0.795769434186 0.793269917322 0.552224250022 0.632918556455 0.463617206083 0.527167814443 0.155072397759 0.895065464327 output 1 110 963 156 644 993 359 479 140 675 146 17 250 887 763 47 646 225 836 802 116 991 553 495 66 676 687 811 480 356 780 123 693 125 519 848 818 531 217 65 740 744 491 922 326 610 945 584 147 734 302 942 73 386 366 937 691 138 11 173 295 865 723 202 152 298 735 497 127 795 21 467 79 150 833 530 50 758 72 569 406 155 716 561 958 383 719 460 196 796 132 771 251 566 487 656 628 790 870 981 482 537 296 916 747 648 183 736 143 652 918 164 601 926 290 510 967 886 633 171 629 212 61 590 499 330 335 593 107 3 548 608 620 622 369 360 20 943 321 661 570 349 184 760 357 317 924 223 234 316 388 193 410 986 170 781 399 137 453 753 658 78 236 64 630 472 328 694 846 168 175 932 374 827 387 51 941 273 674 729 764 293 604 190 101 278 71 342 616 118 18 379 382 878 327 908 732 868 457 917 664 468 715 350 151 8 821 573 126 282 496 100 902 515 37 40 475 852 418 10 197 5 668 801 567 254 854 443 440 928 770 683 910 459 762 867 581 365 120 128 411 352 255 433 931 188 355 614 244 112 6 987 903 358 713 761 218 914 24 429 194 551 501 800 540 720 502 242 600 755 277 514 113 425 579 92 187 756 466 842 256 25 67 348 690 419 563 834 752 375 189 574 26 252 843 343 503 56 332 973 660 257 417 773 649 63 427 929 955 772 408 835 16 599 464 288 400 264 627 757 845 705 935 697 538 647 960 982 476 725 905 983 894 591 438 826 703 9 33 393 149 84 216 31 988 624 229 789 785 208 441 261 508 718 231 751 516 525 32 203 606 625 213 145 799 451 422 536 844 106 470 580 957 96 409 246 759 109 632 861 167 324 564 685 862 700 859 377 413 643 830 767 559 782 245 919 550 108 517 500 900 999 784 211 778 797 80 182 832 35 631 829 876 221 819 873 954 542 346 469 545 923 828 749 381 504 702 404 267 642 90 838 493 284 161 891 807 899 742 392 544 448 371 62 857 728 509 974 808 430 289 992 238 444 812 14 414 952 505 554 975 160 102 431 944 657 598 262 650 587 680 869 122 776 58 402 956 439 701 265 875 779 815 15 594 860 909 478 653 447 247 105 461 979 765 364 345 605 75 972 336 104 380 698 949 985 144 423 70 131 794 882 712 283 585 921 692 299 446 185 473 19 243 215 309 272 465 596 421 46 232 367 2 513 940 141 743 971 494 769 673 347 373 906 279 114 745 270 88 486 898 415 325 607 636 529 485 45 407 543 915 85 117 804 872 205 1000 405 91 416 395 654 437 477 176 351 322 980 233 454 884 885 586 57 840 524 576 863 866 226 412 199 639 344 81 76 679 737 810 990 663 688 370 527 825 788 158 682 704 312 481 82 634 965 450 94 294 549 181 626 659 292 678 320 209 939 275 615 269 86 228 841 133 966 911 22 717 235 506 55 556 754 44 672 420 338 311 237 41 696 618 53 635 792 29 180 526 998 930 23 722 592 976 157 378 310 307 613 814 337 115 623 224 994 34 391 301 907 901 354 552 305 706 816 892 856 855 787 710 539 681 403 372 850 341 541 287 727 95 474 733 871 555 43 428 390 533 77 896 699 285 695 512 851 376 268 950 670 535 239 489 775 274 927 925 588 449 139 777 368 798 153 669 977 498 677 159 98 575 166 162 219 638 471 163 822 766 204 318 897 849 721 839 809 546 726 436 936 177 953 260 528 739 711 671 339 589 820 768 334 534 276 130 746 353 893 227 707 49 970 426 547 532 786 452 558 645 69 612 895 286 266 912 394 12 571 135 597 396 148 989 214 13 488 59 241 817 249 119 435 384 259 684 397 385 490 577 240 38 938 523 824 60 258 933 200 997 172 291 331 271 7 165 39 640 198 329 617 595 888 874 191 192 621 121 934 304 136 823 253 206 518 666 308 424 363 306 27 920 28 103 389 730 609 186 602 484 300 774 783 442 582 263 432 959 507 978 333 731 560 831 111 641 248 904 805 492 230 222 93 709 565 521 619 741 750 445 455 179 483 281 511 36 946 667 686 89 883 315 313 847 124 522 969 401 748 962 174 880 578 456 83 662 890 996 655 947 74 651 837 42 220 178 557 637 398 340 603 323 583 806 813 52 877 858 54 793 984 665 568 462 207 853 458 99 154 319 280 97 913 791 361 948 708 434 562 195 68 297 169 803 4 142 210 724 520 968 87 48 881 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0.421209730843 0.59980600384 0.594603899932 0.272397108396 0.638640119627 0.55437197026 0.251689759229 0.336265717434 0.0116321717194 0.719365212186 0.951697190928 0.210305328542 0.384118380391 0.0747962594029 0.933049862909 0.604908172849 0.802200483265 0.37400471048 0.122385314046 0.319108820541 0.323519408575 0.0182768497917 0.174714265189 0.448296172573 0.187644197667 0.0760257432003 0.954173826481 0.0424541382859 0.509590713884 0.0969311581504 0.799258916382 0.984014868619 0.907656548932 0.116330631709 0.381151908951 0.733537173024 0.333111771478 0.345820580957 0.432895826131 0.121197730433 0.914498114631 0.4994847817 0.301035569094 0.607956672512 0.73196884357 0.810085522221 0.756954079119 0.23156640461 0.392722276625 0.268266738363 0.836795334599 0.844727024513 0.742415234679 0.326781519009 0.799240336992 0.870075216546 0.623790151531 0.497391700683 0.41795610611 0.792621013692 0.709441554153 0.0302573847051 0.853686651985 0.564362953866 0.490198000222 0.0745311270061 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0.59009686478 0.18977903854 0.796959309673 0.913861484244 0.645490744416 0.764815443818 0.581456178343 0.958695822582 0.224913858643 0.00183931607761 0.839790260106 0.615602985797 0.816118818334 0.0812515436052 0.180428172679 0.666973523698 0.696268569539 0.177537490372 0.233218704005 0.8357776493 0.142317180532 0.748593854566 0.0223660306791 0.00633441999572 0.193706213542 0.648058431864 0.300480656888 0.166374089499 0.984187406698 0.888783145268 0.883617465379 0.109860779875 0.160289531461 0.98747400783 0.994429231275 0.868790005079 0.324616237895 0.741908503754 0.0177600106071 0.425163226379 0.895979969926 0.527566046545 0.370338719018 0.336219591775 0.645996984994 0.0793858486902 0.869869091581 0.522257736941 0.0824960908133 0.862418846904 0.551394821636 0.962529368953 0.938919166027 0.376061314438 0.898984338817 0.267465558929 0.139546999797 0.336155332731 0.726391123963 0.259093945397 0.211375377036 0.291650735097 0.192216196799 0.832237807784 0.838620910923 0.124493743359 0.681298122989 0.855017935729 0.980618474017 0.1047131799 0.460285459711 0.732130756883 0.958174006953 0.487284461057 0.85578430427 0.126971348737 0.991017041785 0.0254471674845 0.390298676342 0.833154502132 0.646449060313 0.570176707768 0.409337921129 0.0384018160512 0.411084967267 0.51347797058 0.885289291287 0.319125752799 0.799108337253 0.615105465696 0.868993814682 0.180288559332 0.433303575197 0.356609062252 0.207423554215 0.739860916407 0.235553795174 0.0207388859154 0.406013610242 0.921088485987 0.825692535289 0.293462750599 0.798748702679 0.90561029178 0.247656843428 0.51426225442 0.43061720506 0.070840235822 0.211943562238 0.668584888263 0.489123171757 0.850676464315 0.620134160573 0.564344937083 0.522773750757 0.689044795908 0.320382291141 0.823854682227 0.94015175348 0.179486334664 0.971748577092 0.489263952046 0.830732894942 0.239283559467 0.705178087964 0.305545314052 0.233773025636 0.104996495232 0.925424659519 0.403407395192 0.307681226081 0.948320223379 0.883840794298 0.154693112337 0.46017222597 0.484220202278 0.524024458919 0.805643604385 0.31014767102 0.0288036739319 0.0179590631261 0.0111563768037 0.199960021684 0.21088322741 0.927505172488 0.316691411681 0.135552099067 0.170147053167 0.257346660008 0.509545409094 0.0872773089265 0.988720955687 0.973595379769 0.701390841646 0.547144477658 0.486986790661 0.996891778732 0.870444440063 0.310132927091 0.133912680128 0.201752111516 0.117680894488 0.334184735572 0.32435091778 0.359907703903 0.717624793249 0.880618687288 0.88731919295 0.381608935246 0.473874017366 0.208930445265 0.240949392986 0.973976900529 0.589035315778 0.777852170665 0.768132923819 0.956526354858 0.33561069221 0.938100115043 0.887263695883 0.61080960367 0.422447494949 0.459528789272 0.424359313399 0.920798523853 0.295019464674 0.874209422462 0.380909233024 0.718481009816 0.841152395102 0.850842474638 0.627974365076 0.701840063631 0.850081505798 0.584543121 0.304130042631 0.298184244094 0.213022761049 0.60570015389 0.429113242796 0.867256240966 0.993443077424 0.457489723514 0.568957133603 0.123596343509 0.963445844054 0.327341746567 0.839586791336 0.0255695669248 0.267330079264 0.626741799448 0.989647099971 0.832313359691 output 1 451 540 892 40 491 243 816 93 972 755 724 760 65 72 239 576 914 986 689 654 417 371 76 57 921 681 650 744 25 278 768 308 938 685 945 863 607 268 895 556 158 8 26 13 766 795 294 635 100 229 825 567 966 395 484 543 267 416 323 255 646 502 987 486 303 24 807 983 445 479 223 862 592 282 980 870 954 908 644 932 525 391 667 136 513 753 958 637 439 291 917 234 761 899 298 482 779 221 28 832 657 420 659 826 372 442 129 289 671 544 617 262 270 342 102 573 772 421 188 927 241 433 238 214 139 662 704 869 578 565 45 678 133 142 2 823 956 283 375 163 643 414 881 508 993 545 557 350 110 167 601 763 815 382 672 152 808 718 485 89 793 641 524 310 888 590 538 63 734 738 99 509 783 67 443 4 695 774 736 470 153 499 814 594 376 116 745 588 128 396 496 297 733 603 514 457 460 940 839 961 356 645 929 620 936 943 933 331 14 555 453 580 821 122 378 280 975 837 264 809 387 560 235 75 73 606 123 665 468 831 717 339 992 886 336 9 380 703 448 743 957 79 441 694 817 50 924 691 251 125 296 534 44 903 968 277 90 974 209 948 561 275 127 719 759 965 906 730 595 901 910 273 419 791 473 156 464 231 562 329 806 964 537 266 349 747 653 530 542 655 749 431 476 353 82 95 840 312 180 551 692 585 413 778 887 893 306 922 80 20 195 586 461 649 827 838 666 358 247 478 504 232 614 632 248 352 563 967 309 137 925 714 492 941 383 687 217 622 30 787 182 686 191 84 979 702 455 447 114 326 852 314 796 959 415 360 882 846 292 976 569 683 577 408 394 706 727 584 151 345 216 890 582 596 682 739 579 522 553 36 370 120 92 179 459 386 407 141 77 996 430 754 813 409 465 176 274 43 875 847 261 52 613 404 721 467 834 132 168 782 511 196 790 426 164 269 333 860 969 842 918 879 748 652 621 591 257 272 374 384 664 373 51 728 74 463 533 27 698 379 858 5 913 905 737 424 767 187 222 751 54 300 566 410 366 265 675 237 105 135 904 252 690 873 388 157 7 633 625 201 998 616 434 480 521 32 558 841 517 427 355 660 15 497 186 338 173 81 113 319 559 498 844 587 287 83 546 377 609 539 673 165 851 942 206 883 661 668 648 784 773 626 190 716 245 212 341 792 619 490 144 750 684 357 865 192 368 330 788 324 505 854 335 301 963 598 121 55 466 172 836 42 299 705 313 124 148 696 550 202 432 174 876 19 302 48 978 623 630 422 912 973 804 658 520 946 253 140 325 393 833 236 785 898 564 529 178 765 337 203 770 119 68 997 634 317 541 61 284 612 708 104 597 995 436 94 812 428 600 62 848 554 507 699 638 98 344 218 458 146 477 656 56 919 290 859 991 640 286 527 307 799 897 624 87 315 16 12 219 712 884 321 475 343 456 78 246 618 207 452 320 487 228 952 347 907 829 334 405 746 204 258 915 364 193 818 935 711 669 385 878 197 367 149 861 951 493 429 18 446 741 822 185 402 295 472 701 276 639 134 880 462 803 208 35 786 418 916 450 33 244 348 756 828 181 412 636 495 311 115 693 175 962 225 256 250 423 66 101 154 389 947 801 392 444 680 985 406 332 710 503 889 536 64 715 571 211 3 106 777 805 769 849 23 362 742 999 688 112 97 572 215 259 233 800 651 488 923 647 845 988 631 21 11 516 285 293 198 549 260 758 111 789 437 872 518 184 322 877 161 707 381 781 604 438 575 732 830 489 130 397 574 49 794 856 949 526 700 254 971 764 155 894 583 70 885 271 820 670 328 327 401 96 627 34 147 896 117 797 934 200 950 501 984 85 868 548 835 819 440 709 131 494 599 757 224 47 194 866 593 304 610 425 726 871 103 867 531 1000 532 677 41 39 723 920 663 351 970 911 109 874 523 928 340 843 512 170 220 982 189 930 240 824 118 316 731 242 279 37 535 855 729 363 403 953 226 59 69 17 909 108 506 762 483 960 183 369 602 210 944 471 145 38 628 205 519 771 780 249 989 853 926 399 88 510 107 365 58 359 740 143 850 126 775 676 713 547 22 160 29 902 608 990 354 346 150 570 435 227 166 10 500 642 515 361 568 138 864 857 305 60 213 398 411 199 994 288 449 91 615 937 931 752 955 469 53 454 46 589 552 281 31 981 900 581 528 629 159 722 474 611 725 318 939 735 798 720 162 891 71 679 177 977 481 86 674 810 390 230 811 802 171 605 6 169 263 400 697 776 1
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0.0644396433586 0.0453504507792 0.688106473382 0.0195482769567 0.677896012631 0.814381406313 0.460533653453 0.973258718666 0.666625815022 0.663208528446 0.799769238795 0.184011984722 output 1 355 527 407 564 922 998 33 380 441 156 476 562 733 368 475 977 577 747 4 479 387 233 739 818 50 757 763 328 533 518 684 896 734 424 463 961 455 516 872 603 204 540 268 474 626 457 569 933 490 127 230 514 196 889 173 239 309 330 673 520 70 542 246 44 687 978 789 202 696 437 557 842 957 584 363 159 650 638 788 419 528 787 888 41 94 812 875 993 740 591 784 873 808 636 436 446 152 347 756 979 83 924 278 864 370 517 604 968 802 725 116 984 544 66 31 170 269 972 843 385 212 392 193 287 689 903 819 801 61 879 485 75 634 502 191 63 409 394 767 718 72 990 627 2 357 374 376 96 862 8 442 659 676 205 934 702 477 830 257 97 728 190 986 375 735 549 829 236 817 825 966 486 434 277 305 923 192 348 74 362 108 210 450 704 358 122 312 88 844 741 384 997 736 103 110 982 140 132 602 561 259 615 834 76 27 507 297 522 717 805 999 683 781 231 260 581 779 489 227 124 797 311 530 336 430 280 628 565 456 26 199 707 708 111 616 52 320 131 913 635 911 291 353 468 607 292 162 322 572 531 738 652 106 555 466 705 931 558 773 786 560 828 164 221 700 956 410 716 765 927 345 775 832 791 726 402 508 910 525 898 412 252 826 712 515 980 59 426 792 397 748 365 176 906 855 761 983 149 573 535 764 408 228 554 388 925 585 310 171 720 500 195 142 238 459 521 383 337 895 138 841 693 435 640 324 349 909 247 568 943 307 308 423 432 798 891 495 752 342 273 893 493 661 208 902 985 751 254 711 272 915 155 618 762 617 566 25 451 77 848 731 98 685 261 811 172 107 428 447 637 690 78 971 62 505 356 303 940 484 163 369 174 158 599 588 510 34 263 543 920 613 937 813 970 160 429 600 203 596 908 845 897 454 89 620 154 578 611 724 179 677 526 965 151 396 165 43 216 197 810 800 482 814 820 694 501 622 354 58 186 100 403 976 351 928 359 964 838 512 647 907 856 244 405 782 955 418 153 45 639 750 858 128 93 20 449 481 306 129 87 340 1000 293 133 645 623 688 942 803 877 298 697 605 301 491 992 235 947 996 648 102 854 793 701 876 981 806 399 338 234 282 112 51 15 420 178 80 610 422 47 669 371 71 37 226 932 327 644 597 483 115 742 651 865 462 415 470 313 953 82 302 859 201 460 523 503 73 633 995 885 692 550 30 994 794 590 68 534 104 579 886 271 300 586 655 905 229 189 496 444 867 958 14 139 938 713 679 382 837 878 427 952 894 674 40 804 576 352 144 539 730 643 480 461 681 406 206 861 183 211 863 294 86 768 99 281 121 214 487 846 315 625 754 698 882 35 918 721 95 296 249 279 344 65 497 989 582 719 760 319 547 816 452 187 256 150 458 299 926 217 390 350 614 488 732 624 395 113 930 130 737 729 32 343 592 381 892 606 364 425 945 823 224 513 23 969 608 601 38 675 755 194 658 666 21 13 16 852 276 218 223 869 318 143 289 270 438 145 551 361 642 266 936 657 265 494 119 286 105 749 868 509 335 914 766 537 117 745 469 880 169 919 511 334 12 778 90 833 821 944 699 317 759 448 290 24 921 177 951 871 960 594 240 959 7 668 632 393 304 3 553 776 890 796 682 686 329 974 220 346 710 545 416 671 774 967 629 431 267 593 504 251 839 39 900 147 580 950 439 168 341 770 175 109 987 316 9 758 295 245 255 574 185 391 180 783 524 126 552 769 29 237 988 360 274 215 283 242 401 575 827 85 188 19 421 120 815 264 727 91 5 146 46 619 840 857 386 691 492 167 567 836 166 954 772 660 11 949 417 595 743 326 200 141 746 680 18 55 114 703 883 824 398 548 583 288 101 69 948 49 723 715 630 57 541 445 598 904 478 377 161 28 379 939 670 48 36 465 323 672 253 440 219 400 631 589 916 809 667 207 473 850 373 53 887 123 695 258 662 962 641 849 532 649 213 571 181 991 248 646 157 182 411 519 275 60 678 22 935 722 790 64 975 135 612 453 84 198 884 498 587 546 946 714 538 332 777 899 780 321 378 443 860 372 6 753 137 250 42 118 665 17 706 563 506 901 284 314 941 92 831 243 67 367 56 866 366 654 10 285 870 232 785 136 222 472 471 835 653 404 570 81 499 389 621 467 262 664 822 79 184 963 709 973 656 807 536 929 851 331 853 559 54 847 433 414 609 744 881 134 771 148 125 917 241 413 333 529 874 795 339 799 556 209 912 225 663 464 325 1
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309 395 458 848 181 789 212 200 215 866 980 784 727 315 677 331 308 206 878 757 933 272 684 275 426 151 870 441 965 380 530 46 889 245 589 884 407 482 811 795 741 93 303 619 999 946 749 387 121 133 778 45 669 572 193 209 724 596 330 803 177 970 893 997 472 198 328 274 405 706 887 273 74 114 300 521 937 357 211 170 645 447 734 90 60 353 383 261 641 168 109 50 978 219 885 602 908 335 157 500 2 210 292 250 958 938 698 420 96 897 18 150 765 256 127 905 836 389 776 417 102 40 788 538 926 352 743 214 874 903 611 881 744 110 321 152 861 890 450 879 894 971 573 347 503 977 643 644 199 617 280 12 147 231 584 208 824 58 962 969 497 540 620 49 956 636 821 101 546 604 594 295 487 720 469 742 618 97 194 911 614 647 556 694 409 486 224 489 806 11 237 343 904 983 238 457 86 279 196 495 340 366 474 752 688 141 492 838 679 422 687 858 664 565 852 188 504 564 47 66 185 712 222 591 375 558 857 880 75 832 561 204 278 411 713 82 567 762 554 981 239 361 146 606 850 167 943 586 672 79 545 221 511 263 266 953 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728 415 700 850 978 553 625 854 176 134 463 777 673 522 306 317 772 421 723 630 714 905 955 378 208 665 947 575 520 882 269 177 537 802 241 926 691 214 492 106 692 616 778 384 137 783 422 332 628 156 249 598 981 310 424 393 957 388 78 912 395 7 446 729 746 836 399 546 991 552 261 1000 255 897 369 541 331 309 527 171 542 901 761 487 86 61 142 531 732 50 819 19 737 581 660 767 545 555 128 488 226 648 108 755 826 77 943 908 355 126 792 301 92 898 201 997 183 418 637 708 257 791 147 745 444 207 263 889 254 757 85 693 639 51 198 730 103 70 307 65 25 961 179 636 403 31 149 967 220 507 193 942 800 140 930 803 532 344 191 936 669 750 946 225 464 8 200 23 712 113 184 687 739 657 112 172 268 509 877 585 267 810 958 238 400 623 338 924 632 605 97 123 483 272 949 305 808 773 576 364 878 304 631 350 132 977 455 91 426 29 56 188 63 73 160 983 544 135 619 872 447 95 565 11 340 664 71 87 59 993 41 703 231 141 130 320 501 413 62 262 972 959 999 770 964 650 846 583 3 498 491 335 75 361 222 271 861 24 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223 472 622 159 109 121 931 398 496 707 280 230 9 588 663 832 445 381 782 290 941 521 876 127 921 574 13 975 765 277 720 602 539 595 205 718 696 240 341 806 298 210 688 430 150 894 731 401 407 615 333 204 892 482 461 805 786 457 334 443 389 21 830 798 937 4 534 804 670 276 658 516 986 175 811 863 508 790 299 476 562 686 654 485 992 367 484 295 275 237 462 702 918 513 52 278 416 404 749 392 253 439 711 780 119 935 633 985 494 429 148 36 862 477 621 197 450 242 528 763 789 42 199 124 599 682 315 209 435 891 550 655 211 26 796 813 847 570 215 821 747 296 554 953 586 823 37 976 518 102 174 740 224 349 932 887 353 233 144 859 342 291 994 888 244 759 168 904 812 356 577 347 727 213 312 185 724 471 481 572 766 166 327 951 465 801 582 285 165 325 849 549 154 671 187 308 489 954 72 603 913 279 890 84 919 857 83 473 55 674 380 502 293 610 383 449 167 652 601 643 751 2 948 816 607 875 362 345 600 788 114 33 814 194 53 784 374 807 721 754 864 478 656 899 157 551 839 995 18 988 493 67 359 895 818 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579 174 749 534 683 440 813 352 7 811 602 532 242 200 627 464 403 102 735 422 228 663 704 450 618 729 206 972 501 959 240 630 69 193 468 542 378 8 153 77 458 421 862 308 800 483 317 229 246 50 734 356 385 233 635 761 939 104 617 282 297 345 306 846 395 269 418 320 864 466 883 409 349 529 604 326 625 776 109 157 674 27 67 268 360 785 463 44 598 49 992 512 679 516 379 158 570 520 953 252 937 9 271 702 68 299 562 361 705 545 697 443 536 17 117 486 898 714 428 855 265 149 99 33 20 809 232 107 423 621 713 555 931 133 431 185 814 164 365 884 614 208 954 59 678 195 556 249 712 601 91 387 774 691 389 686 93 628 29 301 173 566 513 912 636 633 100 998 708 827 812 677 881 894 573 38 420 989 280 891 241 235 198 879 281 967 997 756 599 535 999 589 925 643 553 916 887 639 25 283 857 810 935 657 370 645 436 738 914 425 34 134 885 706 974 5 363 407 57 192 141 605 901 583 105 831 54 742 711 824 882 152 55 863 763 975 273 798 593 641 313 30 219 115 703 22 778 880 276 371 927 522 274 637 701 455 650 390 983 765 911 869 433 358 119 710 288 87 595 402 213 497 805 88 106 664 747 642 295 964 494 871 922 170 481 519 416 151 502 500 788 924 646 335 836 388 277 32 178 257 886 525 793 792 982 514 191 624 655 758 205 202 932 609 86 832 329 453 693 47 977 878 113 837 565 724 40 419 561 462 524 973 92 127 786 303 844 926 902 577 78 716 366 596 843 582 3 353 176 919 248 165 506 184 203 957 505 527 715 560 372 993 851 357 413 610 804 351 530 889 478 623 732 865 452 182 835 551 797 682 768 563 98 209 503 990 571 558 142 302 410 960 427 103 969 896 477 725 60 888 199 145 508 564 118 647 41 447 856 608 310 981 752 495 903 615 374 339 64 472 569 899 223 400 578 42 913 408 546 921 31 620 665 945 819 2 179 920 293 346 270 190 62 454 108 839 475 140 575 218 849 700 343 406 979 557 52 187 275 401 936 474 600 554 523 331 590 728 473 537 784 70 872 709 194 225 53 670 37 287 958 375 696 367 496 509 915 354 4 438 840 188 396 531 791 950 412 751 411 904 51 834 434 549 770 688 147 204 89 580 961 905 28 740 143 138 574 779 828 201 852 79 767 540 135 607 111 90 662 284 211 541 854 780 460 838 172 348 442 488 489 217 262 161 948 801 45 956 21 690 169 626 110 893 962 517 632 212 279 938 314 350 726 634 171 669 816 739 65 116 944 764 19 166 794 74 611 482 154 772 80 789 330 741 991 781 507 321 949 746 943 61 156 587 56 817 122 342 469 445 63 986 250 382 594 311 85 397 14 795 243 680 168 698 296 984 58 787 822 215 695 255 750 417 344 861 207 766 150 612 934 81 668 441 951 808 592 673 101 96 430 405 220 876 689 996 717 946 685 687 521 586 43 722 499 825 721 121 859 777 619 39 300 727 479 210 826 511 333 461 148 567 294 476 471 316 806 266 492 753 723 260 667 985 304 790 675 480 340 485 947 286 940 426 737 114 197 720 12 504 651 393 892 988 383 966 731 980 338 160 666 841 26 533 866 234 498 15 144 175 322 802 254 661 900 874 606 929 432 448 660 128 484 334 762 597 13 818 543 465 35 23 292 909 319 707 136 572 994 640 126 130 290 895 75 638 231 146 384 965 648 71 548 568 745 539 368 755 644 337 803 823 581 214 341 771 324 547 457 733 515 955 490 783 850 860 829 692 36 987 377 867 112 328 877 942 552 73 251 125 1
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338 967 638 143 222 952 956 119 909 552 822 256 851 75 963 505 493 440 975 253 895 758 208 427 551 642 846 570 363 717 461 602 807 855 268 414 883 833 661 983 123 715 734 64 737 685 224 426 188 91 411 463 841 912 655 369 34 803 859 421 192 137 47 554 26 732 96 388 509 634 265 404 672 749 566 925 776 848 25 739 292 663 255 101 615 801 72 111 518 939 403 79 879 12 588 16 305 553 501 92 907 266 158 918 579 93 407 495 784 69 600 149 377 347 195 681 464 980 229 281 128 325 697 653 371 422 874 646 945 863 257 14 246 668 290 334 857 33 798 455 237 547 731 538 719 707 931 530 633 125 639 293 438 120 186 44 972 721 131 766 17 117 138 62 374 394 750 911 898 373 725 406 201 601 327 565 30 136 702 204 251 63 708 853 743 320 170 713 869 870 696 468 589 397 794 519 46 585 587 225 141 36 364 748 191 329 417 805 40 674 858 651 704 361 757 962 666 623 360 902 409 736 276 724 324 301 688 847 955 951 349 203 41 436 355 492 970 275 84 52 269 953 11 571 714 74 964 726 213 496 489 793 788 402 531 297 680 277 23 777 187 166 993 108 248 625 889 814 304 850 328 7 610 59 729 730 174 692 763 48 24 77 5 205 994 506 15 534 544 385 581 917 477 930 330 258 783 800 124 185 466 670 590 418 264 542 392 676 641 627 87 235 664 657 476 705 28 877 861 654 415 244 113 481 340 303 99 984 344 473 437 742 172 815 564 701 175 507 29 362 488 197 572 351 504 22 483 774 878 936 591 772 102 679 819 133 189 90 129 456 528 753 480 806 245 593 760 254 234 694 429 168 999 948 965 273 83 173 510 279 408 405 294 624 508 302 596 336 932 298 890 460 699 860 978 309 400 844 837 762 179 756 712 935 812 221 747 214 428 486 148 905 645 549 537 73 665 462 998 285 741 200 977 606 199 920 233 232 582 314 259 512 10 167 3 569 959 157 56 775 410 816 180 541 764 310 164 599 226 831 974 19 270 132 957 296 2 35 711 804 82 969 947 886 643 765 738 134 343 854 227 887 284 584 346 278 147 300 31 61 684 27 875 112 567 637 354 434 472 130 432 458 872 387 416 941 997 252 613 218 339 532 864 942 413 107 515 901 517 691 66 500 521 484 212 398 451 958 395 322 370 516 592 626 145 896 497 649 981 8 621 852 682 37 973 669 520 326 768 922 954 18 976 695 746 560 465 710 247 445 933 318 913 840 291 914 178 118 57 929 946 447 337 817 612 771 469 379 703 792 934 961 446 345 494 868 656 219 420 193 135 207 169 849 809 153 396 210 926 380 38 862 393 658 365 431 778 611 161 127 274 457 949 991 960 435 171 182 295 667 950 54 916 267 88 378 996 832 818 491 563 971 443 834 444 620 358 160 635 990 479 894 799 100 966 938 389 110 786 316 559 647 992 114 580 843 830 58 752 723 366 648 888 968 561 924 790 308 487 115 287 727 632 375 904 605 423 716 441 140 892 722 49 60 899 335 448 989 720 142 526 76 430 313 94 795 988 146 289 523 4 109 808 261 433 239 98 71 940 608 562 21 908 558 272 557 242 700 478 89 574 503 675 333 811 595 482 662 838 773 206 382 372 282 357 514 341 386 821 539 490 321 761 927 9 652 781 755 260 202 733 319 985 522 586 498 660 543 842 105 690 891 356 412 401 121 540 151 618 106 263 631 154 556 65 928 67 944 177 425 698 673 923 184 622 536 802 156 604 122 524 550 286 577 220 826 628 419 693 576 50 839 459 190 813 511 230 629 785 1
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512 645 688 8 22 538 173 302 26 454 508 340 602 919 170 734 506 747 160 61 96 648 693 694 232 23 204 441 750 893 945 806 517 40 421 422 261 758 200 38 670 359 594 207 393 807 51 110 514 357 437 879 83 120 869 107 213 933 278 484 480 573 748 54 861 565 988 923 759 489 774 251 312 188 306 135 286 496 524 752 916 101 27 268 528 246 394 262 211 541 798 434 911 97 957 371 10 608 884 186 77 724 500 644 937 938 697 6 820 307 680 954 598 826 529 490 877 682 190 277 192 700 636 131 161 153 841 614 390 481 925 787 681 133 678 509 71 424 79 762 515 535 721 324 654 935 67 913 439 813 984 143 130 103 737 864 37 738 182 60 191 660 504 868 769 49 650 478 848 440 409 4 982 983 455 756 960 488 360 905 52 577 796 382 222 899 716 43 900 235 778 368 866 872 961 89 537 898 373 466 134 634 338 742 668 329 992 980 582 943 432 760 858 780 527 234 685 69 751 629 169 676 126 690 510 404 47 436 279 599 835 219 735 68 616 317 850 138 383 311 243 907 450 618 559 593 843 630 292 315 407 744 162 695 520 392 548 366 212 345 461 397 516 812 763 217 892 248 470 836 788 230 977 732 825 239 281 707 296 540 684 838 254 482 580 453 149 736 128 152 486 62 93 355 298 626 495 185 669 300 632 706 415 194 781 687 75 874 909 768 545 617 299 521 63 380 722 761 770 64 426 802 479 611 606 226 280 803 696 610 672 216 344 875 291 474 666 493 385 423 882 197 655 195 443 32 458 289 876 589 335 547 833 7 56 755 118 944 569 91 852 208 947 31 150 990 260 431 601 928 90 274 896 956 172 14 122 456 146 59 997 326 265 889 639 255 519 765 151 467 659 420 418 309 350 249 530 860 36 336 501 202 364 591 856 533 198 313 181 649 334 16 585 87 405 320 242 308 854 662 740 939 442 779 158 620 171 139 462 293 117 563 733 576 341 917 979 513 477 386 19 297 215 955 932 236 402 677 967 897 201 862 339 189 801 348 106 657 5 766 301 349 100 936 322 821 433 228 895 44 789 463 46 29 159 815 283 205 377 959 99 323 725 451 551 627 34 485 816 57 901 903 785 356 258 518 628 561 712 834 822 661 824 229 664 492 710 631 446 904 361 157 266 45 374 102 414 20 84 642 39 108 163 403 58 985 238 76 753 674 689 50 273 546 543 783 890 883 827 667 749 295 330 840 525 952 998 210 800 253 472 915 831 196 526 156 797 465 408 792 92 127 460 184 986 891 880 378 550 574 288 233 918 851 137 968 683 572 553 946 142 698 391 993 846 730 88 976 473 592 176 555 924 332 708 637 321 775 619 494 940 206 74 665 282 376 70 15 727 786 66 452 603 319 352 507 367 794 910 641 370 607 906 795 870 147 21 250 471 646 428 767 237 1000 718 417 487 395 511 400 78 375 85 111 717 305 726 989 624 276 949 363 999 633 894 652 844 448 849 399 252 823 994 575 675 231 970 491 544 638 587 136 285 996 757 86 588 347 12 177 113 692 354 741 811 25 686 847 819 566 13 227 554 325 398 384 257 263 817 411 144 790 549 964 220 223 221 596 878 406 948 502 539 791 857 622 804 116 410 445 48 643 853 3 713 353 33 845 729 926 552 444 125 447 287 209 419 902 269 178 459 412 141 328 912 310 542 483 214 871 972 921 123 498 595 705 978 621 719 343 430 303 605 247 873 805 244 98 362 793 991 810 72 140 387 653 381 53 920 863 129 468 829 764 203 145 581 941 953 165 560 950 974 570 679 931 556 699 259 331 865 284 830 671 832 809 82 837 240 245 958 663 119 887 842 438 427 1
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0.767834523347 0.374399283439 0.331246584021 0.538665166427 0.564596911617 0.305758125844 0.284946524802 0.0736393711002 0.78497441365 0.34981891388 0.685287039313 0.993877127243 0.152691357649 0.118982326829 0.71554244497 0.308693355138 0.592650410853 0.929615049355 0.14850263708 0.32719529956 0.433908672293 0.484514981652 0.337999155968 0.180108522258 0.10210633385 0.220484291309 0.738258354043 0.0181556555185 0.733942936434 0.337654631202 0.153748371637 0.56978018951 0.398628103122 0.635004377925 0.260206510615 0.921822003592 0.315394413469 0.202213572943 0.24571850413 0.221388896204 0.0273447374882 0.722569761425 0.093772337532 0.673951207953 0.607164291977 0.838987930156 0.106077928685 0.492228750436 0.839503106707 0.230196835966 0.0264417829664 0.56023198702 0.87803347453 0.975425767088 0.322488056485 0.0198507208161 0.45035281598 0.60655382625 0.209469774563 0.661389173395 0.907809131486 0.653083592125 0.380138635584 0.362752858797 0.310765630377 0.995123384123 0.205593997411 0.655314411113 0.0754753452061 0.202289011727 0.374908090392 0.157611803521 0.860754446662 0.890034775107 0.026183117859 0.505014697225 0.27627093864 0.130247604245 0.619106665825 0.782189569675 0.320526035471 output 1 94 133 802 320 625 892 561 48 623 11 627 507 983 226 719 926 854 669 111 290 771 712 702 786 525 401 969 549 473 416 476 933 648 777 428 469 843 212 144 121 906 179 993 139 229 433 966 809 903 665 919 652 932 571 772 633 219 520 907 160 997 130 367 937 853 512 50 902 33 432 446 196 334 32 254 308 485 370 434 234 188 888 950 289 172 98 92 752 52 532 913 412 470 664 726 741 708 327 97 359 276 335 958 249 364 831 230 103 837 177 660 998 628 423 379 519 690 748 838 562 422 115 886 992 186 834 961 893 616 918 586 275 404 971 715 734 581 940 976 555 535 645 585 733 15 36 352 225 283 527 569 865 560 661 908 667 613 846 503 545 663 51 807 914 263 776 700 455 845 778 214 614 114 142 890 371 240 871 391 376 968 656 739 592 725 429 173 803 948 170 185 350 210 372 471 591 132 298 758 38 389 790 936 970 181 319 784 740 705 934 566 201 104 125 495 445 654 692 117 714 935 678 472 395 689 797 116 203 526 326 963 589 324 757 813 879 729 338 501 862 653 995 312 856 611 620 180 3 374 721 896 743 356 39 475 223 899 242 812 415 89 353 274 825 224 900 550 767 302 949 360 425 952 514 468 244 435 102 727 931 668 717 691 584 787 151 58 544 287 460 85 220 867 40 979 615 168 381 696 286 601 929 383 166 227 208 64 493 751 25 795 975 499 88 2 213 10 938 766 814 489 819 150 407 250 70 887 921 574 598 939 76 26 419 832 546 257 855 284 477 295 68 417 679 322 399 864 363 536 120 252 779 175 513 850 87 78 178 901 985 980 798 211 193 759 146 403 394 390 184 927 21 685 237 791 271 534 314 800 474 972 414 523 438 897 811 278 801 248 421 922 450 464 895 247 418 339 955 502 861 722 135 543 703 62 400 300 110 30 925 826 511 556 817 191 91 724 698 349 454 619 563 494 392 988 382 852 580 79 253 128 944 358 606 753 465 840 158 228 870 999 806 342 764 830 769 796 232 641 53 973 680 878 917 882 126 775 137 858 442 967 765 366 305 140 279 42 106 107 604 255 14 491 974 65 637 728 770 521 6 456 174 323 325 964 605 101 7 644 393 547 618 24 321 31 258 63 57 296 875 631 750 304 783 774 355 697 947 313 190 823 762 755 96 763 542 781 996 639 559 375 198 138 508 484 567 332 430 630 93 608 29 9 311 82 874 941 681 124 889 583 910 539 156 427 153 554 67 844 553 457 643 357 269 986 646 12 672 959 822 530 928 670 18 953 439 836 642 270 659 291 167 182 13 217 609 596 256 655 597 915 259 267 171 824 496 792 916 341 780 99 348 735 152 285 148 380 498 946 74 990 164 387 634 492 424 573 277 744 863 529 720 345 737 207 316 60 647 693 898 815 578 362 261 16 676 109 163 504 805 842 730 745 272 194 540 218 877 105 351 640 27 876 677 443 794 388 37 368 157 528 857 710 377 756 373 754 280 582 200 20 479 866 238 954 565 129 165 746 849 804 80 736 704 859 711 688 49 587 43 81 488 17 118 413 189 820 8 686 378 516 330 713 301 452 268 420 731 816 246 749 461 500 524 59 122 839 72 292 328 459 83 570 318 398 251 162 239 848 183 28 176 873 675 317 674 576 483 444 199 930 331 384 123 881 635 828 66 451 411 409 209 215 694 187 594 793 55 533 108 437 127 987 402 260 579 19 75 143 233 71 978 354 662 147 666 1000 701 112 572 155 61 638 649 288 192 657 682 440 551 159 481 264 448 622 671 346 818 90 5 518 497 405 593 742 299 4 650 621 408 982 808 343 100 73 723 603 205 517 369 243 885 683 458 612 161 149 35 195 333 34 956 541 829 522 245 894 222 984 86 309 344 447 531 397 651 716 827 169 788 810 951 510 221 945 568 912 789 41 965 467 747 426 960 687 760 235 699 600 396 599 154 891 453 273 303 46 441 480 69 293 406 449 482 841 732 45 22 265 588 847 134 957 315 365 131 537 636 119 56 490 216 197 962 385 868 942 607 466 262 84 204 266 47 487 851 761 718 904 136 564 231 577 911 336 768 595 310 602 410 872 23 361 943 141 515 282 991 709 431 799 624 294 905 95 386 505 626 821 707 883 77 833 629 538 206 684 923 241 785 347 558 337 977 575 924 738 462 236 989 695 632 509 706 506 610 673 869 297 835 340 782 658 880 909 202 617 281 44 436 884 145 920 773 860 548 994 552 557 981 463 590 54 307 306 486 113 329 478 1
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547 734 584 529 35 166 819 96 791 221 964 916 339 437 688 301 603 39 323 930 530 444 865 655 706 694 812 24 813 262 827 288 736 558 587 289 891 818 438 949 624 517 164 86 938 145 724 260 596 936 70 477 29 73 478 60 861 272 471 84 111 205 47 520 766 453 23 669 777 939 330 361 3 239 34 490 959 744 896 140 298 665 739 602 831 115 621 251 822 867 241 579 648 870 220 811 66 830 223 820 641 49 763 347 353 61 745 788 847 5 631 38 993 20 173 159 793 426 616 320 393 700 514 487 853 952 877 975 414 764 141 511 354 874 803 722 271 914 541 427 716 871 636 348 565 148 101 316 816 645 902 651 992 725 57 470 331 768 4 667 397 189 12 577 382 230 385 134 80 863 396 778 610 417 855 926 334 889 731 106 143 664 589 362 782 672 496 253 345 387 232 336 947 709 391 585 191 880 780 447 104 234 128 81 325 37 488 117 977 493 307 632 440 280 498 846 570 480 512 794 913 59 644 927 662 581 442 445 41 759 97 639 563 677 424 515 231 940 832 500 333 774 380 609 108 626 369 969 9 163 789 13 448 243 300 802 366 375 254 190 715 826 885 758 15 554 567 154 187 455 666 668 192 428 796 544 99 245 151 194 114 966 371 311 702 182 575 68 604 692 509 8 465 526 546 854 801 224 566 376 93 419 828 168 133 856 121 160 740 810 683 468 601 171 990 737 985 965 981 559 730 211 411 507 840 210 235 400 172 317 787 945 79 295 118 466 881 372 654 474 958 268 815 130 450 905 781 972 54 346 422 127 175 147 798 112 165 249 518 352 14 48 968 893 605 508 973 842 409 505 284 213 484 703 686 82 901 218 884 738 647 948 571 502 888 207 876 452 322 770 310 925 875 215 997 269 281 690 519 462 932 637 349 42 185 944 367 646 157 146 319 931 954 912 729 312 357 752 75 859 321 679 434 611 974 578 711 28 583 177 595 50 267 562 804 16 119 838 467 754 800 721 980 74 696 273 941 790 550 439 543 259 625 628 608 773 294 76 136 979 852 483 555 22 967 732 110 561 808 178 723 153 650 953 618 862 845 156 248 691 887 398 961 784 574 287 929 161 364 735 53 999 408 497 107 699 627 767 88 960 494 499 923 328 217 198 501 987 590 727 401 836 384 915 746 125 630 374 386 503 799 360 635 433 63 720 250 174 314 343 176 588 21 45 2 359 103 883 420 451 629 363 196 950 266 864 681 904 849 435 278 638 821 615 599 657 410 492 356 922 569 809 358 355 18 368 986 829 126 329 144 919 866 402 835 169 379 456 199 421 431 797 551 634 179 937 549 67 991 823 678 909 481 129 717 582 32 233 395 701 109 726 844 680 733 753 995 283 441 963 779 238 403 592 100 598 805 612 924 748 138 350 277 994 545 432 429 560 775 580 33 305 656 282 660 351 297 184 407 882 291 600 69 776 539 617 911 640 757 89 19 527 485 851 65 71 264 405 857 30 324 848 693 365 201 516 622 714 843 279 531 535 83 534 25 894 338 51 917 443 868 390 872 521 682 907 222 951 46 216 229 756 934 553 619 404 255 661 92 689 532 202 718 457 337 956 203 878 247 785 903 302 839 892 712 227 989 206 27 806 633 6 663 728 308 548 425 573 698 996 113 707 388 195 370 886 150 122 841 304 10 528 921 510 898 40 556 193 399 116 412 970 214 212 899 962 536 149 342 378 710 87 94 910 540 834 486 837 659 64 769 988 513 446 460 671 258 55 244 479 464 1000 306 240 783 135 344 257 918 155 26 614 920 392 684 105 976 928 341 436 890 741 873 270 1
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942 496 278 258 36 91 61 343 940 183 216 591 328 103 952 976 996 74 190 12 445 884 333 632 972 574 321 308 760 887 675 242 546 363 558 211 419 78 957 16 717 909 141 2 785 935 594 9 850 181 537 290 30 628 430 624 870 289 988 644 196 967 432 544 369 808 409 479 266 472 777 444 224 374 251 370 798 469 768 5 170 413 267 405 387 896 918 607 19 524 611 699 474 217 465 877 739 781 466 514 613 206 979 508 348 503 958 770 744 198 173 759 106 473 936 995 784 292 14 710 8 769 435 500 89 559 968 888 789 863 441 139 378 200 883 993 862 35 910 951 309 239 345 501 969 20 41 336 332 773 54 316 438 346 838 740 643 928 298 245 555 763 912 207 372 903 439 985 878 357 160 338 754 646 511 264 406 666 279 130 545 384 294 713 339 659 59 359 825 116 917 871 272 807 58 922 380 904 76 396 597 794 277 282 326 107 100 636 330 881 715 745 433 869 11 358 692 53 802 492 926 723 395 837 622 973 873 890 171 690 775 69 908 771 72 353 580 241 752 440 965 809 475 516 201 505 859 33 322 400 68 587 375 955 317 674 709 948 805 40 79 223 113 630 230 803 725 300 535 73 570 280 175 506 157 521 931 195 177 268 625 455 121 658 347 602 609 986 43 946 704 416 959 485 708 414 81 915 703 447 352 519 37 392 92 42 974 366 191 498 82 127 891 382 108 471 486 110 418 684 800 83 533 601 184 168 376 86 368 131 534 924 961 660 192 639 577 154 401 697 306 897 185 302 757 796 721 655 673 844 319 526 354 389 758 394 231 619 732 270 249 510 762 314 833 906 635 879 728 829 620 944 702 895 517 693 28 178 47 716 865 585 853 790 87 901 460 729 166 573 821 236 840 124 276 39 461 284 437 434 98 934 323 542 23 543 899 780 914 563 52 640 202 488 894 678 145 941 579 248 606 502 451 262 984 324 305 340 997 57 412 839 417 88 75 530 872 741 842 551 235 874 386 15 491 379 453 668 105 161 342 855 407 662 225 695 261 578 210 446 32 886 822 193 390 415 46 849 623 470 99 981 443 687 989 652 786 452 823 371 167 135 156 144 295 980 122 164 818 509 404 482 134 50 539 186 51 649 180 689 450 490 431 637 711 44 593 60 7 748 676 63 520 149 550 273 132 301 497 610 337 664 851 696 62 992 779 834 920 892 705 830 464 885 523 513 111 114 706 554 557 3 259 25 845 736 420 783 214 95 688 651 426 647 397 564 165 868 761 864 605 824 250 361 882 861 987 457 707 233 682 813 667 742 648 297 791 939 125 701 835 158 162 616 810 843 442 576 4 518 589 876 288 117 532 18 360 219 373 925 774 118 949 634 776 614 129 476 529 244 766 293 310 489 478 220 77 548 299 603 212 179 199 902 714 680 215 334 484 49 364 720 29 816 718 590 913 572 858 631 257 595 403 429 726 916 857 159 626 826 126 115 136 592 608 27 351 383 998 900 582 393 792 153 787 860 575 188 663 97 286 1000 187 398 795 778 747 815 567 937 150 569 424 954 963 311 932 507 427 562 999 467 428 960 983 672 653 483 836 528 71 495 889 13 499 425 17 905 367 671 213 964 893 454 174 152 287 801 832 463 45 621 712 254 536 669 994 568 119 422 385 146 956 627 22 921 459 256 229 218 67 96 782 344 304 307 565 797 806 540 391 147 504 633 596 247 221 265 48 148 140 755 923 228 176 817 102 737 349 350 846 612 679 481 991 402 831 588 553 274 234 734 448 820 841 982 541 133 329 227 848 686 6 681 365 1
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0.498585363201 0.176995806315 0.490481604747 0.169803951323 0.529513497343 0.968666726026 0.311872556971 0.388224658551 0.852758255975 0.79200806496 0.204566902938 0.70396441282 0.529650115993 0.0264050847203 0.323521526004 0.0403290148206 0.943121804698 0.343587435962 0.0362250008184 0.0810939951238 0.702690229471 0.811613837898 0.855485990476 0.351115552263 0.645560592354 0.549221707303 0.0462646373687 0.944570204947 0.786413544365 0.219690816666 0.849370252156 0.377772017224 0.197149327125 0.665828788645 0.198984199437 0.336966742981 0.980754304307 0.0169675092091 0.177100349421 0.764120790335 0.574164494198 0.367150612544 0.62495404903 0.0562608518938 0.369340066031 0.872521270987 0.685131025508 0.558455880735 0.307074263769 0.186553765481 0.384293253108 0.863372716986 0.287530021464 0.396900902182 0.780353450425 0.860248916574 0.268548819896 0.694993770696 0.614603915391 0.645591061686 0.739481921592 0.321617449463 0.672273027675 0.0719234870278 0.964887476499 0.259935296418 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0.536805163709 0.900792002768 0.123680383191 0.10243000073 0.0785642365552 0.186061534114 0.106740138305 0.576304541042 0.840564517782 0.659826951285 0.476667566016 0.0327669319152 0.757980707129 0.991786755695 0.308230724168 0.899354562848 0.0620039287249 0.217091145064 0.802819484224 0.820272780964 0.214469915858 0.297495505336 0.0155231379743 0.16698214467 0.518697775979 0.787500564782 0.292981011622 0.307073154413 0.953504477603 0.25055190454 0.872485134269 0.394278151817 0.0169777164311 0.00906782980389 0.0364250620335 0.482101455957 0.985609193171 0.159155212831 0.447568092479 0.271320483022 0.592157561982 0.645614696187 0.589687256043 0.634833193743 0.553428953368 0.803411776061 0.236384759684 0.916340554368 0.282265694309 0.84664557768 0.149053440348 0.78656902615 0.0651178760434 0.872084952131 0.472647269277 0.434290938783 0.837110273598 0.0905874637424 0.028506375828 0.631473476422 0.242754434765 0.60903126077 0.2108998548 0.513219247776 0.924783236945 0.308783898355 0.284638837012 0.152701821547 0.329434773727 0.35789872195 0.342482016856 0.410342661304 0.502644404747 0.088762287256 0.141791761381 0.456601759256 0.484277581827 0.368352007419 0.110017746397 0.331100552558 0.611520217574 output 1 802 878 727 355 270 911 929 756 17 100 76 313 214 7 617 990 873 391 720 623 561 991 410 221 653 754 702 703 516 179 73 176 652 907 858 694 91 778 611 459 558 247 789 231 883 63 165 869 717 276 386 549 77 820 287 976 202 601 4 413 812 426 999 422 60 605 519 107 105 751 853 731 707 215 319 564 910 658 466 932 598 330 169 760 532 746 368 818 726 383 296 749 274 555 2 136 433 956 436 44 460 227 563 643 305 728 423 72 440 825 11 722 719 806 197 918 810 156 774 655 259 875 400 583 712 857 47 851 573 832 796 80 785 724 996 404 817 568 998 278 649 267 679 180 316 799 688 260 685 530 67 357 830 116 571 845 347 645 788 307 291 704 153 92 850 118 57 443 725 872 946 1000 186 411 371 157 491 301 925 177 106 137 906 233 490 915 484 515 451 187 198 546 253 779 713 597 331 235 55 250 129 621 944 867 431 691 544 75 8 650 602 687 981 229 537 143 402 923 374 755 859 61 69 424 536 45 342 871 506 414 248 933 935 265 298 442 38 520 427 463 566 246 680 97 964 453 46 662 317 740 271 145 924 454 39 160 578 255 142 692 94 166 256 628 95 612 14 205 705 392 21 238 497 856 786 240 876 736 988 743 379 162 921 700 337 511 698 889 942 577 768 309 159 42 464 242 462 600 64 457 695 684 217 848 805 261 957 689 303 589 835 363 763 113 170 936 146 111 693 975 797 716 477 909 237 10 110 888 19 349 471 396 5 885 206 6 576 790 488 104 450 70 341 673 178 495 192 52 969 241 953 847 98 842 765 123 284 148 397 980 734 346 624 43 131 381 24 831 299 430 249 285 706 659 630 208 236 507 275 25 448 144 807 384 701 735 375 335 479 585 408 800 290 416 993 553 128 399 263 750 738 608 995 189 326 461 184 714 517 647 141 132 243 840 417 486 140 447 610 364 747 690 499 439 86 367 122 89 409 741 949 855 903 646 56 562 514 951 340 547 971 927 882 496 622 286 816 321 829 758 79 26 542 139 881 676 963 870 343 625 815 593 513 631 27 93 161 279 472 861 852 510 244 505 772 557 809 947 613 710 959 771 843 792 928 636 312 540 581 997 35 354 500 445 294 348 962 112 258 989 759 329 777 15 977 20 168 721 887 580 441 502 877 794 551 938 334 560 913 201 838 310 599 860 175 664 892 468 272 901 642 930 864 939 937 916 406 773 407 994 194 273 822 559 230 865 352 288 394 31 919 130 931 385 213 979 669 879 395 804 620 846 819 36 671 336 534 955 350 761 604 886 948 358 661 66 732 388 730 538 30 895 894 972 896 960 745 487 84 619 523 308 590 437 470 723 434 541 467 503 421 292 373 904 254 686 380 389 525 667 51 48 711 124 193 473 966 554 126 627 103 351 234 171 656 524 632 637 150 508 849 211 245 85 902 672 811 945 512 458 926 791 595 569 320 793 125 833 345 586 769 753 173 314 133 53 369 934 23 974 509 677 912 521 224 360 863 3 545 898 574 101 34 609 138 681 978 365 633 58 190 88 762 708 654 767 992 782 415 550 382 634 207 419 891 452 209 281 366 776 59 370 40 744 640 874 615 196 16 293 204 323 644 783 483 663 78 398 405 252 71 824 81 96 223 22 90 49 905 893 485 582 332 87 770 528 444 41 699 784 697 941 220 841 943 456 13 803 216 780 99 670 387 378 603 121 9 866 908 147 353 678 297 228 119 83 155 729 362 827 682 648 304 465 504 257 940 117 493 318 795 429 844 32 638 212 134 635 102 657 469 482 950 185 606 62 82 333 752 481 300 668 531 696 917 498 674 149 12 579 277 775 501 914 494 639 428 377 837 50 151 584 18 900 226 393 766 135 982 449 280 239 629 823 302 748 264 801 127 295 548 68 29 718 282 269 596 592 965 518 890 446 210 222 420 403 203 480 455 552 338 587 181 973 616 575 868 526 522 289 283 200 225 167 764 120 108 361 474 322 344 327 952 618 641 266 626 182 183 757 115 328 324 987 390 880 425 306 821 607 556 814 418 188 836 665 339 268 535 715 967 828 897 614 195 109 163 660 984 356 478 199 191 920 435 922 739 158 591 666 958 33 37 884 737 262 492 311 527 219 154 315 218 174 232 709 970 813 983 114 533 899 412 372 985 489 543 854 74 961 529 968 651 164 675 432 359 172 572 570 567 839 476 65 594 565 401 588 986 376 54 475 781 808 954 683 787 826 152 733 742 834 438 28 539 862 798 325 251 1
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215 188 647 556 690 243 861 231 520 994 620 332 110 634 407 265 788 562 94 844 464 752 678 385 170 182 906 249 369 727 671 192 134 983 757 127 560 434 112 290 63 549 284 55 786 770 810 529 351 420 667 735 515 636 483 726 6 588 874 67 34 44 377 610 637 305 196 716 207 979 745 525 589 294 468 155 747 312 146 652 323 36 488 718 148 447 817 903 251 731 366 838 579 503 564 460 696 275 804 737 463 729 748 627 632 739 25 352 653 882 261 143 791 912 230 193 443 295 624 998 189 819 753 203 222 908 769 888 799 287 28 471 57 473 13 991 733 717 719 314 568 328 870 846 802 964 853 307 183 914 646 683 324 160 857 12 498 505 875 638 181 848 339 99 899 738 309 712 642 901 300 79 31 989 433 617 254 866 306 778 109 607 237 758 260 725 33 679 398 583 742 465 190 531 856 17 959 890 326 266 298 990 734 651 934 760 129 56 388 613 317 308 259 371 316 451 48 1000 318 784 965 682 370 538 285 310 402 66 919 363 373 832 871 331 543 510 302 8 15 470 587 245 208 47 711 593 262 787 194 500 474 359 582 530 386 621 355 93 22 102 502 743 590 5 889 130 591 533 978 409 953 695 993 518 958 153 691 311 406 281 361 250 547 322 101 38 100 569 54 714 563 863 705 140 555 325 631 374 581 461 664 612 969 643 381 95 482 575 132 764 540 277 481 197 59 384 469 238 21 252 828 492 894 508 236 971 228 956 565 928 435 479 630 626 84 541 649 605 721 842 52 116 672 524 330 534 78 206 30 489 335 837 576 909 440 224 619 561 50 922 282 113 548 61 462 792 823 7 768 429 932 2 76 333 996 841 179 910 204 424 544 29 539 775 241 516 692 244 595 124 459 796 64 120 422 968 444 427 32 676 485 713 937 234 185 85 118 401 144 80 172 341 600 644 854 923 708 902 939 570 936 840 220 681 975 756 601 392 81 980 977 175 415 20 816 641 65 137 898 223 428 91 360 177 343 913 269 497 274 673 606 350 885 408 559 114 139 141 744 414 178 812 929 723 864 820 622 378 554 147 879 394 349 798 18 96 37 629 151 662 416 340 985 169 171 707 142 586 859 997 263 239 915 537 580 235 945 545 432 566 43 40 26 688 703 886 476 689 877 14 375 380 400 456 133 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963 161 408 734 586 132 651 476 756 153 82 945 787 154 805 760 820 589 351 779 459 974 475 188 112 269 717 801 751 305 477 241 985 31 953 72 966 18 587 52 323 370 79 425 106 272 739 491 748 413 646 611 7 935 608 250 926 80 443 496 852 566 797 716 253 822 369 987 311 78 349 289 570 525 657 53 211 877 795 419 115 754 279 708 309 509 818 971 555 385 280 890 732 868 71 653 693 581 843 916 321 497 468 874 374 690 456 407 688 686 329 49 103 61 302 796 325 750 914 705 530 702 192 60 314 193 713 630 998 887 681 678 59 386 300 812 261 846 358 42 38 113 510 860 296 248 883 307 142 418 601 560 803 557 265 527 391 951 631 834 9 315 825 614 88 980 392 639 875 903 148 785 1000 396 593 514 904 69 659 990 27 700 156 799 377 870 761 733 299 610 16 122 268 352 58 531 591 25 191 401 490 285 458 524 962 208 867 150 205 430 339 579 516 433 423 234 613 308 275 162 100 536 199 891 67 540 813 996 550 946 544 435 34 99 901 571 421 213 515 838 762 791 65 958 910 538 404 583 612 51 15 656 928 919 999 893 354 964 757 54 629 367 814 179 800 648 190 992 454 440 245 740 898 180 121 482 970 125 900 312 118 390 479 2 427 75 83 237 912 745 243 166 492 219 507 643 363 471 741 789 522 573 661 81 344 949 233 35 304 920 504 20 46 225 303 902 884 324 694 746 930 848 512 266 691 26 109 627 766 450 366 334 262 607 276 195 959 991 258 206 452 840 8 753 641 432 726 539 481 293 725 628 634 735 872 101 129 350 259 288 989 564 941 23 918 371 131 911 467 845 93 11 712 922 411 111 383 306 595 667 222 94 85 267 173 729 281 982 6 373 381 480 763 19 102 474 155 499 460 332 73 960 554 62 255 855 167 811 143 977 194 292 546 633 640 886 642 252 882 592 478 120 723 251 461 511 326 978 483 403 286 360 547 782 322 596 200 39 792 623 273 774 375 714 565 561 517 343 988 808 828 436 842 743 768 720 854 871 624 670 835 77 139 502 76 975 347 319 576 207 485 758 336 722 701 357 221 526 394 331 585 892 649 108 541 328 869 767 567 466 63 464 594 186 426 778 660 770 151 880 133 40 523 662 615 603 215 844 340 406 866 535 979 645 501 356 508 680 247 353 944 602 881 165 859 804 598 532 41 709 254 147 503 295 923 263 470 136 500 56 287 969 317 929 169 784 429 577 827 176 809 636 625 600 839 397 925 650 972 227 434 829 658 771 398 239 137 905 824 327 559 489 177 961 968 284 235 240 399 444 209 563 260 29 605 183 493 365 446 203 214 185 338 68 888 310 24 710 330 938 606 274 689 198 506 74 777 759 362 290 580 416 420 48 819 676 210 114 666 597 4 395 545 728 764 472 217 674 126 654 196 513 731 249 271 635 865 553 520 294 519 765 542 277 976 907 575 230 488 664 182 915 620 157 97 117 943 895 683 703 955 876 348 90 696 742 414 442 160 498 983 986 229 863 66 644 298 449 769 455 568 719 57 264 815 994 5 145 590 776 679 864 952 201 465 216 393 569 431 617 533 574 124 551 552 816 836 462 95 486 320 388 318 730 316 638 698 89 924 140 495 950 380 91 534 810 469 604 135 549 997 849 677 599 270 933 346 663 128 244 954 141 246 231 372 878 224 830 134 841 382 453 21 618 695 957 692 806 752 927 921 313 28 447 937 609 995 22 197 772 879 967 387 98 543 152 932 87 457 84 70 934 172 104 119 857 850 655 699 33 64 164 908 721 1
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0.271771575135 0.592578150471 0.87816150165 0.471322833035 0.550177220923 0.327790790649 0.905224576038 0.417976786778 0.792047732469 output 1 153 3 445 147 564 480 593 535 760 211 932 541 934 420 34 804 703 750 661 362 243 773 728 53 650 622 584 303 547 960 651 649 255 690 475 802 408 984 121 359 835 376 299 666 18 296 569 258 716 412 699 49 374 929 400 900 19 495 678 952 672 924 597 512 343 488 675 691 115 682 964 179 556 27 557 98 528 808 462 784 781 660 339 141 915 174 459 823 56 123 295 982 128 598 124 207 59 792 284 119 525 816 961 209 667 253 963 279 386 169 674 620 566 389 399 617 589 896 989 431 689 918 518 201 37 226 532 829 560 267 486 378 66 880 515 673 558 640 503 635 616 491 229 39 382 980 8 736 863 775 108 763 315 840 314 7 193 825 318 231 841 266 249 442 766 562 329 427 469 22 50 879 628 668 747 354 798 477 417 553 782 681 213 414 565 136 210 236 953 859 64 494 655 391 473 685 164 443 711 665 730 467 394 920 637 100 116 416 778 987 145 224 424 17 460 770 411 183 463 446 891 449 877 223 101 383 697 109 205 451 77 641 380 311 30 680 333 552 815 967 592 807 572 850 465 198 889 390 991 530 301 450 173 578 544 184 357 570 216 80 941 197 182 126 413 523 607 902 234 368 415 534 813 90 151 222 882 276 189 779 21 852 851 111 709 133 347 89 274 917 764 574 65 531 457 232 344 827 611 364 549 237 363 834 327 670 625 393 726 74 430 677 777 200 52 619 919 212 58 328 892 320 300 107 385 227 937 729 438 29 273 536 979 122 605 377 824 351 830 337 925 694 468 195 239 293 931 868 997 748 238 496 600 586 608 176 604 633 246 474 769 797 346 969 935 33 970 806 776 208 826 254 594 75 874 20 313 132 883 881 454 288 326 156 514 701 870 908 285 9 511 939 914 571 137 180 862 966 799 304 772 506 309 46 828 839 265 31 951 968 943 275 79 290 157 426 893 626 127 974 191 439 803 992 567 894 790 853 160 654 384 131 14 735 972 513 664 606 583 710 757 220 250 849 999 727 615 563 72 873 800 251 791 771 875 447 260 41 264 81 76 308 749 521 280 28 341 568 410 724 812 663 461 38 955 102 129 192 577 140 428 419 636 707 912 805 742 43 172 751 684 927 392 713 962 950 502 332 464 926 371 166 270 214 152 67 478 646 418 2 819 548 590 954 348 472 148 647 869 259 281 40 370 555 114 985 388 613 897 307 846 519 609 437 780 235 317 906 795 679 533 706 695 744 909 858 740 42 743 342 78 335 353 959 543 818 861 693 975 702 890 11 423 720 814 68 113 82 13 837 1000 504 256 366 499 745 269 785 708 542 774 786 653 162 971 365 714 86 942 733 421 755 958 822 977 645 911 84 561 25 767 433 178 106 546 95 721 501 206 842 539 811 369 648 696 434 527 686 731 698 187 887 142 554 155 910 143 44 631 144 345 671 761 843 134 810 876 334 988 177 676 752 196 928 993 936 245 739 358 754 291 135 652 458 130 895 286 847 404 923 154 907 272 55 845 585 734 945 321 105 215 252 559 973 221 310 456 202 662 510 487 85 361 899 63 163 753 817 203 522 996 794 83 97 493 865 921 788 441 485 138 110 576 35 718 688 579 263 297 444 787 159 591 587 866 175 901 524 848 104 949 930 61 737 165 261 5 712 71 854 170 355 92 167 638 715 612 933 573 627 242 602 16 287 139 248 199 146 520 746 732 268 940 118 36 409 158 657 87 990 73 432 470 181 149 483 398 218 717 387 537 277 322 618 289 642 683 262 838 47 550 856 476 305 247 700 482 658 452 161 719 983 759 228 659 758 867 70 603 120 298 292 435 479 349 331 204 429 833 857 112 692 185 490 257 981 944 4 367 240 505 768 397 994 498 765 508 956 12 91 395 581 69 588 356 168 687 821 793 500 489 871 194 599 436 922 725 610 904 217 575 705 23 323 864 886 99 230 888 948 62 88 379 302 723 796 402 898 316 10 94 453 946 336 294 820 634 312 306 283 831 324 669 57 484 448 481 406 372 93 582 878 516 188 632 580 704 125 998 872 244 529 938 623 643 860 440 601 957 517 396 330 26 644 595 639 629 403 551 855 325 741 186 338 538 903 233 507 381 624 995 96 54 844 225 986 526 24 738 621 905 492 762 965 596 219 836 509 340 150 401 976 885 614 278 656 455 783 350 497 117 282 630 801 884 422 103 425 15 171 947 352 271 913 360 60 722 319 51 190 540 405 916 809 466 407 471 45 373 48 6 832 375 789 241 756 545 32 978 1
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525 288 505 474 495 620 312 863 865 400 914 701 746 816 855 695 992 532 205 943 146 123 382 551 704 941 719 150 896 747 104 988 834 125 528 294 8 684 32 439 605 825 909 412 443 320 976 728 848 792 436 518 782 265 853 549 215 859 38 24 387 780 655 705 399 270 478 658 473 430 310 723 193 678 621 558 793 786 559 375 465 482 434 162 932 195 26 697 609 730 398 206 659 208 533 711 251 94 668 266 973 767 974 882 964 138 683 423 707 522 406 805 47 506 829 903 765 908 625 508 456 21 385 950 309 516 995 190 796 826 227 952 694 524 696 90 989 333 553 667 738 819 477 250 76 917 830 959 241 289 177 673 813 721 424 101 137 940 732 463 276 555 588 356 151 53 788 46 65 275 776 129 998 257 492 425 803 404 907 877 42 875 699 880 299 635 389 797 669 843 529 182 378 93 597 274 846 39 670 221 817 828 300 383 335 120 487 740 641 237 942 636 762 291 970 272 674 124 143 679 999 931 2 292 377 649 372 144 955 666 662 78 810 440 461 689 422 165 55 778 521 578 330 79 186 573 455 394 158 791 200 640 153 579 365 117 497 784 660 811 685 380 844 507 557 845 754 902 593 74 419 731 631 97 488 298 961 612 921 10 297 824 313 35 261 871 13 773 744 600 281 164 986 671 163 736 779 759 115 878 374 840 751 441 795 9 99 36 405 920 626 489 556 687 753 229 700 645 476 911 63 550 401 260 373 682 354 801 48 91 614 531 18 888 586 128 774 420 197 895 975 339 536 891 142 892 403 187 842 68 50 176 852 642 729 874 823 987 141 427 286 453 530 607 17 157 172 471 861 893 966 808 618 743 70 953 454 282 897 546 581 301 692 304 580 527 44 409 722 771 513 564 814 323 467 367 43 761 690 918 500 16 417 131 332 569 328 447 148 307 815 886 565 709 540 619 410 851 484 324 194 30 122 929 214 181 89 135 498 341 102 969 469 592 25 712 832 127 542 806 758 352 435 717 716 296 388 353 34 794 889 155 342 111 537 219 515 930 591 449 490 879 766 504 595 702 706 84 189 236 860 864 311 41 890 225 149 996 502 49 105 132 499 915 244 963 109 714 73 271 239 77 371 62 3 737 575 629 366 665 201 587 446 601 357 267 56 894 22 764 224 724 211 726 247 850 468 535 733 541 364 287 279 248 359 494 718 12 835 57 72 139 739 452 677 781 775 615 720 220 156 305 904 887 334 344 347 174 560 191 571 262 900 303 376 836 448 962 336 997 199 627 27 86 107 971 327 459 316 960 23 617 20 628 637 445 397 159 485 110 514 841 566 130 69 6 688 293 386 147 83 196 95 763 4 785 681 370 245 171 652 820 418 967 582 951 433 503 314 161 113 547 37 170 269 413 5 939 978 75 653 33 175 984 602 253 346 361 277 263 958 563 119 256 391 340 574 350 919 238 523 358 114 789 429 381 594 426 802 466 839 869 428 60 438 243 664 596 59 520 152 750 735 936 223 899 993 442 968 362 990 183 7 957 249 847 246 233 173 672 321 85 290 703 837 876 140 322 862 202 510 741 481 458 922 757 634 308 349 231 647 295 769 804 928 885 210 255 866 570 217 462 985 103 675 226 444 252 180 937 686 822 234 585 414 980 857 82 534 657 994 913 384 715 807 483 475 415 88 273 479 745 983 213 254 590 519 472 126 460 633 949 752 935 868 812 916 646 680 154 881 188 610 87 345 568 192 264 742 222 756 656 884 212 539 768 838 501 912 790 11 496 901 338 416 242 783 167 54 818 168 81 96 284 421 259 98 544 178 676 639 577 603 302 179 283 947 1
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0.854033985818 0.0963991700974 0.636690887741 0.215482439787 0.22869917682 0.65821392069 0.0169599351076 0.600638272474 0.71236764732 0.461197776036 0.0137477732904 0.133548835917 0.601115842403 0.683862955617 0.345103827353 0.150773953675 0.614605805888 0.514803089415 0.559542036673 0.4609597146 0.0858645526463 0.137415303466 0.263201524713 0.436488353593 0.65177497047 0.0507349881399 0.818464835783 0.357922125427 0.995434631001 0.286897209001 0.254853925348 0.765586129304 0.622930940655 0.891700463213 0.391895803584 0.444053509691 0.322028730343 0.643624952277 0.618853684288 0.926671959076 0.582853628811 0.427258077586 0.00285034296199 0.974231559145 0.0441508751977 0.789625147576 0.0114519674832 0.712126146777 0.746921072492 0.535404149027 0.946712771563 0.419868236169 0.107299369777 0.537127612558 0.120470461934 0.0087546235159 0.687138565952 0.0617358505052 0.448131916062 0.667818802277 0.237308535493 0.197174706654 0.116247302717 0.824237469164 0.236175135972 0.612875952451 0.766081788579 0.822189534176 0.540913579415 0.296212743046 0.985984400747 0.912197817594 0.553400842071 0.0404452001194 0.924560055389 0.071359981908 0.780069050396 0.644276371365 0.145401764203 0.992573713726 output 1 803 612 909 83 3 391 283 36 896 886 496 109 60 945 789 13 76 180 277 670 609 955 64 688 818 247 632 881 709 107 671 207 468 529 537 716 876 448 203 929 857 152 845 919 980 977 509 100 500 73 357 117 492 753 39 543 384 692 820 463 878 224 506 891 305 275 336 771 510 569 837 477 217 591 990 519 627 768 865 143 618 167 134 481 68 43 115 720 890 212 105 714 523 175 441 572 658 390 978 61 378 485 91 894 970 616 937 394 593 352 831 812 661 346 334 265 851 243 147 104 842 654 874 525 643 118 223 408 921 920 131 301 338 969 735 545 952 82 497 371 631 2 861 24 48 567 25 824 315 985 573 647 229 895 440 530 295 110 266 183 331 62 791 467 353 451 915 852 904 114 102 66 822 177 839 622 484 628 322 777 158 796 610 206 739 200 159 681 994 745 712 804 292 326 935 667 624 388 911 764 214 329 934 52 770 74 850 513 707 947 328 426 218 446 761 596 228 916 582 798 173 680 527 683 855 697 763 476 375 827 225 262 164 999 240 806 578 776 923 397 910 311 724 747 660 717 502 86 366 778 702 879 766 864 846 727 815 871 33 81 797 367 539 801 967 435 186 592 447 37 858 741 345 399 546 482 401 405 193 875 557 524 306 669 657 821 701 69 830 319 88 411 903 433 308 259 246 489 695 885 938 630 56 996 597 788 236 512 444 128 436 958 387 154 452 432 7 340 133 425 132 413 872 877 553 748 417 648 931 907 838 58 925 893 289 765 773 20 112 826 494 418 103 696 324 421 511 793 691 645 792 121 965 368 10 281 57 459 354 146 710 348 780 290 533 176 672 282 392 833 703 705 365 312 41 95 675 981 54 883 181 330 415 580 995 450 241 337 749 226 355 522 469 138 623 267 254 491 584 817 954 204 940 276 15 924 184 242 359 843 170 760 222 168 814 78 733 385 551 738 253 169 962 428 767 794 111 743 601 516 665 163 577 442 835 65 410 46 342 859 906 270 534 785 313 974 211 235 406 9 271 781 626 686 372 361 636 443 466 291 19 358 986 161 187 744 269 27 607 975 518 465 227 12 59 568 30 344 725 404 544 205 515 396 191 179 197 472 641 841 160 927 162 6 662 854 44 862 953 653 422 998 178 125 860 928 94 419 873 689 5 156 339 260 604 932 541 470 914 728 646 810 565 635 664 237 536 698 347 853 586 652 949 393 287 651 199 122 959 505 531 230 799 28 740 196 961 172 382 155 590 310 383 734 55 369 462 637 430 787 989 708 31 973 106 409 957 136 373 141 47 836 699 238 256 116 997 775 480 501 299 677 668 80 493 364 351 713 694 483 475 460 832 640 423 684 376 950 389 960 594 380 813 769 829 350 414 746 942 148 988 137 296 455 71 783 215 905 307 816 130 504 700 298 752 917 966 823 278 284 971 621 490 517 288 918 263 49 805 386 304 21 402 332 634 171 424 802 730 144 908 588 93 535 185 97 574 678 437 808 362 625 638 248 374 323 926 611 754 666 528 208 583 495 239 498 772 486 63 8 220 889 732 53 598 126 17 840 320 268 750 736 317 784 922 608 72 294 488 555 617 255 941 153 563 561 195 139 51 335 991 913 828 514 166 948 575 581 721 704 192 549 869 866 520 145 888 198 774 182 856 439 400 848 599 279 715 258 257 381 453 564 558 120 847 272 540 723 552 887 899 29 4 968 231 548 84 395 252 602 538 556 98 16 600 45 34 731 464 642 742 912 190 902 92 758 280 316 759 85 327 790 542 863 687 209 67 300 682 559 461 693 933 898 659 249 884 123 809 318 972 487 606 377 26 412 264 474 458 89 149 261 50 87 79 587 963 782 526 140 629 99 595 457 341 755 454 956 233 547 939 987 585 213 449 35 473 711 779 946 571 471 900 951 633 834 221 438 892 150 398 429 800 722 964 420 333 251 690 944 984 90 562 825 870 478 751 416 174 983 508 101 127 656 644 579 479 729 554 811 14 189 982 42 434 576 532 32 673 75 244 685 786 762 202 96 309 1000 756 194 844 427 142 403 930 897 706 992 38 560 570 819 250 113 245 718 550 23 303 976 379 135 210 363 619 286 285 22 719 679 868 807 314 124 882 993 936 201 70 503 456 407 157 795 979 605 77 274 674 726 566 757 108 521 321 445 507 613 620 325 943 129 649 119 234 360 867 18 273 614 499 370 151 901 232 737 650 216 676 188 297 589 663 40 11 431 343 615 849 302 165 356 219 880 639 655 293 603 349 1
