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#769911#9254. Random VariablesforgotmyhandleAC ✓798ms19028kbC++141.1kb2024-11-21 19:52:282024-11-21 19:52:28

Judging History

你现在查看的是最新测评结果

  • [2024-11-21 19:52:28]
  • 评测
  • 测评结果：AC
  • 用时：798ms
  • 内存：19028kb
查看
  • [2024-11-21 19:52:28]
  • 提交

answer

#include <iostream>
#define int long long
using namespace std;
int tc, P;
int dp[1005][1005], C[1005][1005];
int cnt[1005];
signed main() {
    cin >> tc >> P;
    for (int i = C[0][0] = 1; i <= 1000; i++) {
        for (int j = C[i][0] = 1; j <= i; j++) 
            C[i][j] = (C[i - 1][j - 1] + C[i - 1][j]) % P;
    }
    while (tc--) {
        int n, m;
        cin >> n >> m;
        for (int k = 1; k <= n; k++) {
            int lim = n / k;
            for (int i = 0; i <= lim; i++) dp[0][i] = 1;
            for (int i = 1; i <= n; i++) {
                for (int j = 0; j <= lim; j++) {
                    dp[i][j] = dp[i - 1][j] * (m - j) % P;
                    if (i > k) 
                        dp[i][j] = (dp[i][j] - dp[i - k - 1][j + 1] * C[i - 1][k] % P * (m - j) % P + P) % P;
                }
            }
            cnt[k] = dp[n][0];
        }
        int ans = 0;
        for (int i = 1; i <= n; i++) ans += (cnt[i] - cnt[i - 1] + P) * i % P;
        cout << ans % P << "\n";
    }
    return 0;
}
/*
3 123456789
3 2
5 5
7 7
*/
Source code, Language: C++14

这程序好像有点Bug，我给组数据试试？

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 12532kb

input:

3 123456789
3 2
5 5
7 7

output:

18
7145
2066323

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 0ms
memory: 12704kb

input:

100 2
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0

result:

ok 100 lines

Test #3:

score: 0
Accepted
time: 4ms
memory: 12356kb

input:

100 3
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
0
1
2
0
1
2
0
1
2
0
0
2
0
0
2
0
0
2
0
0
0
0
0
0
0
0
0
0
1
2
0
1
2
0
1
2
0
1
2
2
0
2
2
0
2
2
0
2
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
1
2
2
0
2
2
0
2
2
0
2
0
0
0
0
0
0
0
0
0
0
1
2
0
1
2
0
1
2
0
1

result:

ok 100 lines

Test #4:

score: 0
Accepted
time: 0ms
memory: 12032kb

input:

100 4
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
0
1
2
3
0
1
2
2
2
0
0
2
2
0
0
2
2
3
2
3
0
3
2
3
0
3
2
0
0
0
0
0
0
0
0
0
0
1
2
3
0
1
2
3
0
1
2
2
0
2
0
2
0
2
0
2
0
3
0
3
0
3
0
3
0
3
0
0
0
0
0
0
0
0
0
0
0
1
2
3
0
1
2
3
0
1
2
2
0
2
0
2
0
2
0
2
0

result:

ok 100 lines

Test #5:

score: 0
Accepted
time: 0ms
memory: 12424kb

input:

100 5
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
0
1
2
3
4
0
2
1
2
0
0
2
1
2
0
0
3
3
1
3
0
3
3
1
3
0
4
4
2
4
0
4
4
2
4
0
0
0
0
0
0
0
0
0
0
0
1
2
3
4
0
1
2
3
4
0
2
3
3
2
0
2
3
3
2
0
3
4
1
2
0
3
4
1
2
0
4
4
4
4
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0

result:

ok 100 lines

Test #6:

score: 0
Accepted
time: 4ms
memory: 12272kb

input:

100 6
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
0
1
2
3
4
2
0
0
2
0
0
2
0
0
2
3
0
3
0
3
0
3
0
3
0
4
2
0
4
2
0
4
2
0
4
5
2
3
2
5
0
5
2
3
2
0
0
0
0
0
0
0
0
0
0
1
0
3
4
3
0
1
0
3
4
2
2
0
2
2
0
2
2
0
2
3
0
3
0
3
0
3
0
3
0
4
2
0
4
2
0
4
2
0
4

result:

ok 100 lines

Test #7:

score: 0
Accepted
time: 3ms
memory: 12444kb

input:

100 7
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
6
0
1
2
3
2
6
5
6
2
0
0
2
6
5
3
4
2
3
6
3
0
3
4
2
4
2
3
5
2
5
0
4
2
3
5
5
3
6
5
4
0
5
5
3
6
0
6
1
1
6
0
6
0
6
0
0
0
0
0
0
0
0
0
0
1
2
3
4
5
6
0
1
2
3
2
1
4
4
1
2
0
2
1
4
3
3
4
3
4
4
0
3
3
4

result:

ok 100 lines

Test #8:

score: 0
Accepted
time: 4ms
memory: 12568kb

input:

100 8
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
6
7
0
1
2
2
6
4
4
6
2
0
0
2
6
3
2
3
4
3
6
3
0
3
2
4
4
0
0
4
4
0
0
4
4
5
6
3
4
1
2
7
0
5
6
6
4
6
0
6
4
6
0
6
4
7
4
3
0
7
4
3
0
7
4
0
0
0
0
0
0
0
0
0
0
1
6
3
4
5
2
7
0
1
6
2
4
6
0
2
4
6
0
2
4

result:

ok 100 lines

Test #9:

score: 0
Accepted
time: 0ms
memory: 12328kb

input:

100 9
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
6
7
8
0
1
2
6
3
2
3
6
2
0
0
2
3
0
6
0
6
3
6
3
0
3
4
8
3
4
5
6
4
2
0
4
5
2
0
2
8
0
8
5
0
5
6
0
0
6
0
0
6
0
0
6
7
3
6
1
3
3
4
3
0
7
8
8
6
5
8
3
2
8
0
8
0
0
0
0
0
0
0
0
0
0
1
8
3
4
2
6
7
5
0
1

result:

ok 100 lines

Test #10:

score: 0
Accepted
time: 3ms
memory: 10904kb

input:

100 10
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 ...

output:

1
2
3
4
5
6
7
8
9
0
2
6
2
0
0
2
6
2
0
0
3
8
1
8
5
8
3
6
3
0
4
4
2
4
0
4
4
2
4
0
5
0
5
0
5
0
5
0
5
0
6
2
8
4
0
6
2
8
4
0
7
8
3
2
5
2
3
8
7
0
8
4
6
2
0
8
4
6
2
0
9
4
9
4
5
4
9
4
9
0
0
0
0
0
0
0
0
0
0
0

result:

ok 100 lines

Test #11:

score: 0
Accepted
time: 2ms
memory: 12444kb

input:

100 11
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 ...

output:

1
2
3
4
5
6
7
8
9
10
2
6
1
9
8
9
1
6
2
0
3
7
7
9
8
10
10
3
6
3
4
0
5
5
10
10
8
9
9
6
5
0
4
10
6
7
10
4
2
7
6
10
4
5
3
2
0
7
2
5
7
5
2
8
6
1
6
0
3
6
8
6
6
3
2
4
8
3
6
9
9
8
10
2
8
6
10
9
3
1
10
0
4
3
0
6
0
7
4
9

result:

ok 100 lines

Test #12:

score: 0
Accepted
time: 303ms
memory: 18448kb

input:

10 972033073
576 523187654
758 588616188
30 532959085
476 481773028
573 76725430
520 142462406
865 820120297
687 526533288
913 38106557
67 924529654

output:

259748390
909910217
708973357
300073565
463921261
889897372
587262932
255642402
868975954
14589849

result:

ok 10 lines

Test #13:

score: 0
Accepted
time: 385ms
memory: 19020kb

input:

10 922366485
846 278501607
683 609355362
44 978777279
545 730718412
926 323835432
883 761846029
623 408215612
989 588832935
449 743830620
259 183431187

output:

461786112
672633342
164805246
547995105
9661617
154501063
370848893
402005970
886523490
435107511

result:

ok 10 lines

Test #14:

score: 0
Accepted
time: 371ms
memory: 18660kb

input:

10 13890975
949 837425969
667 981449995
991 564074312
501 604745038
593 640307170
128 408163542
80 976891742
930 710947599
852 333118419
250 333252788

output:

3898759
9290500
7087084
4913904
196250
1746549
9627740
8673120
10274253
10549775

result:

ok 10 lines

Test #15:

score: 0
Accepted
time: 206ms
memory: 18180kb

input:

10 105576445
649 937885257
141 713063090
253 716966251
845 330657011
347 664392407
810 50478969
389 530582574
228 199722046
85 256258366
605 3721959

output:

22721419
27962190
85541228
53950260
35288938
100176945
86409840
102331663
55591445
14790745

result:

ok 10 lines

Test #16:

score: 0
Accepted
time: 260ms
memory: 18676kb

input:

10 445185474
268 687201814
929 296077349
690 202741564
372 661889855
442 989604795
367 456833096
702 862601129
795 37538865
556 131444040
108 645857776

output:

39577672
390323147
423333756
49417686
12978114
278291170
60346062
410583855
68429394
296833176

result:

ok 10 lines

Test #17:

score: 0
Accepted
time: 367ms
memory: 18696kb

input:

10 265384486
870 503808438
959 733458117
126 226376632
979 205878607
747 270352323
339 384431347
373 659485098
597 832514575
832 906898547
12 869891031

output:

54820154
83262107
48675762
32938269
169458409
153632065
105152812
48645927
29870948
83831862

result:

ok 10 lines

Test #18:

score: 0
Accepted
time: 255ms
memory: 17584kb

input:

10 869896294
256 326197921
496 115501273
861 238744067
581 600444623
619 536213251
89 898877607
136 353575223
860 349472278
491 770026371
668 622723560

output:

678111040
344947200
90686837
157367547
295943299
25262829
81930384
532341712
23048077
475131428

result:

ok 10 lines

Test #19:

score: 0
Accepted
time: 446ms
memory: 18492kb

input:

10 692092859
831 647975618
792 737778459
392 768554014
854 612888229
31 148093584
793 559010229
970 237393805
339 914914862
831 979073722
988 738224088

output:

324659472
16793498
421391172
416475848
59704753
347151224
415078841
680610884
397373492
296521551

result:

ok 10 lines

Test #20:

score: 0
Accepted
time: 198ms
memory: 18304kb

input:

10 827165684
577 720722656
383 778750361
951 59165685
502 993162103
589 166261195
500 816688874
40 625075150
331 160531509
394 578798823
181 710984062

output:

736529364
199088527
528654835
586634074
442300715
383600380
707706396
763397655
534310310
338272096

result:

ok 10 lines

Test #21:

score: 0
Accepted
time: 202ms
memory: 19028kb

input:

10 691312083
185 445519030
93 44970277
951 662144708
252 766000017
83 911805458
424 816227326
770 136026896
354 763387805
247 458147285
747 14566368

output:

411209183
132362175
110569626
664410537
241484162
480388660
264805387
294178848
147876955
371900799

result:

ok 10 lines

Test #22:

score: 0
Accepted
time: 798ms
memory: 18584kb

input:

10 691312083
1000 445519030
1000 44970277
1000 662144708
1000 766000017
1000 911805458
1000 816227326
1000 136026896
1000 763387805
1000 458147285
747 14566368

output:

365043118
14826361
571573673
63977538
484010015
499398766
433242788
43269113
412491407
371900799

result:

ok 10 lines

Extra Test:

score: 0
Extra Test Passed
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