ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#214134 | #2693. NEQ | KXG | 100 | 3216ms | 108024kb | C++ | 1.3kb | 2024-11-15 19:20:06 | 2024-11-15 23:24:48 |
answer
#include <cstdio>
using namespace std;
const int mod = 1e9 + 7;
long long inv[4000010], invfac[4000010], fac[4000010];
int t, n, m;
long long dp[2000010];
long long pow_mod(long long n, long long p, long long mod) {
long long res = 1;
for (; p; p >>= 1, n = n * n % mod) {
if (p & 1) {
res = res * n % mod;
}
}
return res;
}
long long A(long long n, long long m) {
return fac[n] * invfac[n - m] % mod;
}
long long C(long long n, long long m) {
return fac[n] * invfac[m] % mod * invfac[n - m] % mod;
}
int main() {
invfac[0] = invfac[1] = inv[1] = fac[0] = fac[1] = 1;
for (int i = 2; i <= 4000000; i++) {
inv[i] = (mod - mod / i) * inv[mod % i] % mod;
invfac[i] = invfac[i - 1] * inv[i] % mod;
fac[i] = fac[i - 1] * i % mod;
}
scanf("%d", &t);
while (t--) {
scanf("%d%d", &n, &m);
for (int i = 0; i <= n; i++) {
dp[i] = A(m, n) * A(m - i, n - i) % mod;
}
long long ans = 0;
for (int i = 0; i <= n; i++) {
if (i % 2 == 0) {
ans += dp[i] * C(n, i) % mod;
} else {
ans -= dp[i] * C(n, i) % mod;
}
}
ans = (ans % mod + mod) % mod;
printf("%lld\n", ans);
}
return 0;
}
Details
小提示:点击横条可展开更详细的信息
Test #1:
score: 5
Accepted
time: 102ms
memory: 94264kb
input:
10 10 10 10 10 2 10 3 10 9 10 1 10 8 10 7 10 1 10 10 10
output:
306442892 306442892 6570 379440 736724304 90 748248938 605640347 90 306442892
result:
ok 10 lines
Test #2:
score: 5
Accepted
time: 118ms
memory: 94260kb
input:
10 5 10 1 10 8 10 3 10 4 10 7 10 5 10 8 10 10 10 9 10
output:
547011360 90 748248938 379440 16798320 605640347 547011360 748248938 306442892 736724304
result:
ok 10 lines
Test #3:
score: 5
Accepted
time: 123ms
memory: 94264kb
input:
10 10 10 3 10 1 10 2 10 9 10 10 10 2 10 4 10 3 10 3 10
output:
306442892 379440 90 6570 736724304 306442892 6570 16798320 379440 379440
result:
ok 10 lines
Test #4:
score: 5
Accepted
time: 127ms
memory: 94264kb
input:
10 10 10 1 10 6 10 8 10 1 10 7 10 2 10 8 10 5 10 2 10
output:
306442892 90 383431116 748248938 90 605640347 6570 748248938 547011360 6570
result:
ok 10 lines
Test #5:
score: 5
Accepted
time: 152ms
memory: 101808kb
input:
10 209948 325367 32718 415553 23204 942400 112174 378481 606851 967435 136404 1014128 219328 240497 ...
output:
486730033 795980345 588390998 322722869 736567390 174281893 343240658 708767580 981228075 955026181
result:
ok 10 lines
Test #6:
score: 5
Accepted
time: 145ms
memory: 106592kb
input:
10 138556 734356 435301 1331052 987730 1772096 814036 824058 46984 404156 483366 1120849 343377 9489...
output:
810123408 527527355 295291222 377407525 822697639 116308692 933876933 252771944 856057953 587372477
result:
ok 10 lines
Test #7:
score: 5
Accepted
time: 178ms
memory: 106460kb
input:
10 3667 227437 960664 1136884 126289 1829473 242537 1330052 375909 872744 356898 531785 229031 14944...
output:
417049407 38483898 593092347 316699464 187641847 596221024 194161650 126658777 673242737 73402752
result:
ok 10 lines
Test #8:
score: 5
Accepted
time: 182ms
memory: 102088kb
input:
10 567322 1929060 1001468 1289434 163254 319786 698923 843859 740264 759489 203918 1063292 508483 79...
output:
314836082 746974053 608229865 554511124 369805304 855891511 123129673 162284806 937141157 971139034
result:
ok 10 lines
Test #9:
score: 5
Accepted
time: 188ms
memory: 105420kb
input:
10 1132589 1775386 207807 262123 63505 1358101 1428754 1798082 418855 455426 73850 272549 48576 1778...
output:
734925409 378494075 498064480 529399291 804298543 607462662 480459318 411695195 628362397 270696417
result:
ok 10 lines
Test #10:
score: 5
Accepted
time: 162ms
memory: 107500kb
input:
10 1695462 1939750 29235 1185790 194617 546134 337070 554401 768444 1892158 332841 882745 154636 920...
output:
201885598 258543350 667374757 391816851 13410307 878053433 101841373 436754179 397015928 212382591
result:
ok 10 lines
Test #11:
score: 5
Accepted
time: 183ms
memory: 103456kb
input:
10 674754 1159686 406921 960658 932058 1996799 48795 455853 554994 1113156 121831 1251202 1177109 15...
output:
989838431 904392731 877867959 7105452 164196532 769960402 148401341 747194327 809416881 493740494
result:
ok 10 lines
Test #12:
score: 5
Accepted
time: 179ms
memory: 104776kb
input:
10 701259 1332249 16908 633852 601124 1004557 581334 1216395 715566 1429189 862389 1656521 1345860 1...
output:
978526302 525661372 805224412 821434633 700225257 634654448 549902843 985657721 472322010 963718574
result:
ok 10 lines
Test #13:
score: 5
Accepted
time: 195ms
memory: 101824kb
input:
10 509226 1079784 65211 359751 304345 1114412 270468 1517516 177717 1461562 4559 1484183 291180 1856...
output:
377614455 347018883 65641 556529706 116219835 15376029 749860123 486123471 645667307 702445002
result:
ok 10 lines
Test #14:
score: 5
Accepted
time: 165ms
memory: 103456kb
input:
10 844547 1065326 12765 348551 197870 493940 891829 1952960 408481 766220 42263 225437 1177449 15681...
output:
264953803 493067429 29274680 124035569 179754190 472719747 889127140 181261557 862089491 654690115
result:
ok 10 lines
Test #15:
score: 5
Accepted
time: 192ms
memory: 106528kb
input:
10 62489 1977001 1570544 1875539 190951 1046439 1006494 1596866 206518 527273 30700 804024 655225 14...
output:
137231299 983526275 308356937 668857536 945195729 943641074 175185008 617430910 464325003 693893932
result:
ok 10 lines
Test #16:
score: 5
Accepted
time: 151ms
memory: 97196kb
input:
10 192607 393179 201595 598364 94889 116297 68937 362063 375790 1173019 4169 213558 197175 1639344 8...
output:
675256418 743911917 169590876 438184575 303535039 821743664 735301178 652505454 446403563 727169327
result:
ok 10 lines
Test #17:
score: 5
Accepted
time: 212ms
memory: 108024kb
input:
10 798288 1987237 157453 1550357 705426 990370 613123 1321568 899033 956256 44168 172324 819515 1170...
output:
632430667 838490809 425855777 529713728 24505102 346102723 283846671 933284993 400547662 326488051
result:
ok 10 lines
Test #18:
score: 5
Accepted
time: 189ms
memory: 103996kb
input:
10 967864 1453914 481508 1761132 600063 853502 157152 1439130 76065 845828 663705 780511 192271 7895...
output:
127432855 408920662 120712126 633004380 672550015 788672447 919546999 290492241 915432205 505777533
result:
ok 10 lines
Test #19:
score: 5
Accepted
time: 139ms
memory: 105968kb
input:
10 933205 1384428 454383 955044 102873 1155697 143556 1235390 1498546 1673058 550403 1705906 44112 1...
output:
981751684 146672862 338003954 926693969 933443584 970830583 551138975 412430510 898397404 100973435
result:
ok 10 lines
Test #20:
score: 5
Accepted
time: 134ms
memory: 100804kb
input:
10 837543 861815 41145 74826 16836 20151 281906 835757 82984 232797 228888 347747 303856 369347 4196...
output:
425350707 303540825 51110377 610844679 381850715 397366972 193255813 384380765 774336313 888922281
result:
ok 10 lines