QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#664534 | #9254. Random Variables | Galex | AC ✓ | 252ms | 11668kb | C++23 | 1.9kb | 2024-10-21 21:03:26 | 2024-10-21 21:03:27 |
Judging History
answer
#include <bits/stdc++.h>
#define LL long long
#define ULL unsigned long long
#define pii pair<int, int>
#define pll pair<LL, LL>
#define fi first
#define se second
#define mkp make_pair
#define sz(x) (int)x.size()
using namespace std;
bool Mst;
LL read() {
LL s = 0, f = 1;
char ch = getchar();
while (ch < '0' || ch > '9')
f = (ch == '-' ? -1 : 1), ch = getchar();
while (ch >= '0' && ch <= '9')
s = (s << 1) + (s << 3) + (ch ^ 48), ch = getchar();
return s * f;
}
int n, m, mod;
int qpow(int a, int b) {
int res = 1;
while (b) {
if (b & 1)
res = (LL)res * a % mod;
a = (LL)a * a % mod, b >>= 1;
}
return res;
}
auto fplus = [](int x, int y) {return x + y < mod ? x + y : x + y - mod;};
auto fminus = [](int x, int y) {return x >= y ? x - y : x + mod - y;};
auto Fplus = [](int &x, int y) {x = fplus(x, y);};
auto Fminus = [](int &x, int y) {x = fminus(x, y);};
const int N = 1000, MAXN = N + 5;
int f[1005][1005], res[1005], C[1005][1005];
bool Med;
signed main() {
int t = read(); mod = read();
C[0][0] = 1;
for (int i = 1; i <= N; i++) {
C[i][0] = 1;
for (int j = 1; j <= i; j++) C[i][j] = fplus(C[i - 1][j], C[i - 1][j - 1]);
}
while (t--) {
n = read(), m = read();
for (int k = 1; k <= n; k++) {
int lim = n / (k + 1);
for (int i = 0; i <= n; i++)
for (int j = 0; j <= lim; j++)
f[i][j] = 0;
f[0][0] = 1;
for (int i = 0; i < n; i++)
for (int j = 0; j <= lim; j++) {
if (!f[i][j]) continue;
int v = 1ll * (m - j) * f[i][j] % mod;
Fplus(f[i + 1][j], v);
if (i + k + 1 <= n) Fplus(f[i + k + 1][j + 1], 1ll * C[n - i - 1][k] * v % mod);
}
res[k] = 0;
for (int i = 0; i <= lim; i++)
(i & 1 ? Fminus : Fplus)(res[k], f[n][i]);
}
int ans = 0;
for (int i = n; i; i--) {
Fminus(res[i], res[i - 1]);
Fplus(ans, 1ll * i * res[i] % mod);
}
printf("%d\n", ans);
}
return 0;
}
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: 2ms
memory: 8580kb
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: 9200kb
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: 0ms
memory: 8720kb
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: 2ms
memory: 8780kb
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: 1ms
memory: 8304kb
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: 1ms
memory: 8360kb
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: 1ms
memory: 8972kb
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: 1ms
memory: 7928kb
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: 1ms
memory: 9476kb
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: 1ms
memory: 8720kb
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: 1ms
memory: 8424kb
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: 94ms
memory: 11416kb
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: 123ms
memory: 11632kb
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: 120ms
memory: 11668kb
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: 66ms
memory: 11188kb
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: 84ms
memory: 11404kb
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: 118ms
memory: 11520kb
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: 83ms
memory: 11144kb
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: 141ms
memory: 11576kb
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: 65ms
memory: 11496kb
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: 61ms
memory: 11632kb
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: 252ms
memory: 11612kb
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