UOJ Logo

NOI.AC

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#214134#2693. NEQKXG1003216ms108024kbC++1.3kb2024-11-15 19:20:062024-11-15 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;
}

详细

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