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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#284022 | #7774. 基础寄术练习题 | zzzYheng | 25 | 2ms | 3692kb | C++17 | 1.9kb | 2023-12-15 20:55:45 | 2023-12-15 20:55:45 |
Judging History
answer
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int kMaxN = 105;
int n, m, k, p;
int getPow(int x, int y) {
int res = 1;
while (y) {
if (y & 1) res = res * x % p;
x = x * x % p;
y >>= 1;
}
return res;
}
void add(int &x, int y) {
x += y;
if (x >= p) x -= p;
if (x < 0) x += p;
}
namespace Task1 {
int inv[kMaxN];
int f[kMaxN][kMaxN];
int ans;
void main() {
for (int i = 1; i <= m; ++i) {
inv[i] = getPow(i, p - 2);
}
f[0][0] = 1;
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= m; ++j) {
for (int k = 0; k < j; ++k) {
add(f[i][j], f[i - 1][k] * inv[j] % p);
}
}
}
for (int i = 1; i <= m; ++i) add(ans, f[n][i]);
cout << ans << '\n';
}
}
namespace Task2 {
const int kMaxN = 75;
int a1;
int inv[kMaxN * kMaxN];
int f[kMaxN][kMaxN][kMaxN * kMaxN][2];
int ans;
void work() {
memset(f, 0, sizeof(f));
f[0][0][0][0] = 1;
for (int i = 1; i <= m; ++i) {
for (int j = 0; j < n; ++j) {
for (int k = a1; k <= n * m; ++k) {
for (int t = 0; t < 2; ++t) {
// 没有取到 T 中
add(f[i][j][k][t], f[i - 1][j][k][t]);
// 取到 T 中但没取到 S 中
if (j)
add(f[i][j][k][t], f[i - 1][j - 1][k][t] * inv[i] % p);
// 取到 T 中并且取到 S 中
if (j && k >= i)
add(f[i][j][k][t], -f[i - 1][j - 1][k - i][t] * inv[i] % p);
// 取 i 作为 a1
if (t && k >= i) {
add(f[i][j][k][t], f[i - 1][j][k - i][0] * i % p);
}
}
}
}
}
for (int s = 1; s <= n * m; ++s) {
add(ans, f[m][n - 1][s][1] * inv[s] % p);
}
}
void main() {
for (int i = 1; i <= n * m; ++i) inv[i] = getPow(i, p - 2);
work();
cout << ans << '\n';
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
cin >> n >> m >> k >> p;
if (k == 1) Task1::main();
else Task2::main();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 0
Memory Limit Exceeded
Test #1:
score: 10
Accepted
time: 1ms
memory: 3584kb
input:
9 16 1 327134593
output:
162102742
result:
ok single line: '162102742'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
11 18 1 834359503
output:
256188485
result:
ok single line: '256188485'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3472kb
input:
18 18 1 614802701
output:
552168146
result:
ok single line: '552168146'
Test #4:
score: -10
Memory Limit Exceeded
input:
7 16 2 861918403
output:
306693876
result:
Subtask #2:
score: 25
Accepted
Test #6:
score: 25
Accepted
time: 2ms
memory: 3624kb
input:
60 98 1 715015339
output:
690737273
result:
ok single line: '690737273'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
96 97 1 507892589
output:
481151247
result:
ok single line: '481151247'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3692kb
input:
90 95 1 621080027
output:
255353202
result:
ok single line: '255353202'
Test #9:
score: 0
Accepted
time: 2ms
memory: 3580kb
input:
85 94 1 297115421
output:
122254364
result:
ok single line: '122254364'
Test #10:
score: 0
Accepted
time: 2ms
memory: 3464kb
input:
81 91 1 460412027
output:
148037986
result:
ok single line: '148037986'
Subtask #3:
score: 0
Memory Limit Exceeded
Test #11:
score: 0
Memory Limit Exceeded
input:
29 29 2 545875273
output:
171843225
result:
Subtask #4:
score: 0
Memory Limit Exceeded
Test #16:
score: 0
Memory Limit Exceeded
input:
27 30 2 360712453
output:
80987914
result:
Subtask #5:
score: 0
Memory Limit Exceeded
Test #21:
score: 0
Memory Limit Exceeded
input:
29 38 2 909155077
output:
745973305
result:
Subtask #6:
score: 0
Memory Limit Exceeded
Test #26:
score: 0
Memory Limit Exceeded
input:
57 66 2 767174999
output:
315351738
result:
Subtask #7:
score: 0
Memory Limit Exceeded
Test #31:
score: 0
Memory Limit Exceeded
input:
96 96 2 453296971