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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#881015 | #3265. 组合数问题 | Grand_Elf | 100 ✓ | 14ms | 3840kb | C++17 | 923b | 2025-02-04 09:01:37 | 2025-02-04 09:01:37 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int K = 55;
int n, mod, k, r;
struct M {
int a[K][K];
M () {
memset(a, 0, sizeof(a));
}
M operator * (const M &rhs) const {
M res;
for (int i = 0; i < k; i++) {
for (int j = 0; j < k; j++) {
for (int x = 0; x < k; x++) {
res.a[i][x] += 1ll * a[i][j] * rhs.a[j][x] % mod;
if (res.a[i][x] >= mod) {
res.a[i][x] -= mod;
}
}
}
}
return res;
}
} U, I;
M qpow(M x, long long y) {
M res = U;
while (y) {
if (y & 1) {
res = res * x;
}
x = x * x;
y >>= 1;
}
return res;
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> mod >> k >> r;
for (int i = 0; i < k; i++) {
U.a[i][i] = 1;
}
for (int i = 0; i < k; i++) {
I.a[i][i]++;
I.a[i][(i + 1) % k]++;
}
M res = qpow(I, 1ll * n * k);
cout << res.a[0][r] << '\n';
return 0;
}
詳細信息
Pretests
Final Tests
Test #1:
score: 5
Accepted
time: 1ms
memory: 3712kb
input:
14 861021533 17 8
output:
109194683
result:
ok single line: '109194683'
Test #2:
score: 5
Accepted
time: 0ms
memory: 3840kb
input:
14 734575201 8 4
output:
136629647
result:
ok single line: '136629647'
Test #3:
score: 5
Accepted
time: 0ms
memory: 3840kb
input:
6 572660339 1 0
output:
64
result:
ok single line: '64'
Test #4:
score: 5
Accepted
time: 0ms
memory: 3712kb
input:
17 141616127 10 5
output:
87241654
result:
ok single line: '87241654'
Test #5:
score: 5
Accepted
time: 0ms
memory: 3712kb
input:
13 889947181 16 12
output:
100910764
result:
ok single line: '100910764'
Test #6:
score: 5
Accepted
time: 0ms
memory: 3712kb
input:
25 752392757 4 3
output:
424857239
result:
ok single line: '424857239'
Test #7:
score: 5
Accepted
time: 14ms
memory: 3712kb
input:
553999928 2 45 26
output:
0
result:
ok single line: '0'
Test #8:
score: 5
Accepted
time: 0ms
memory: 3840kb
input:
843993365 943947738 1 0
output:
470996456
result:
ok single line: '470996456'
Test #9:
score: 5
Accepted
time: 0ms
memory: 3712kb
input:
855636225 749698583 2 0
output:
545006096
result:
ok single line: '545006096'
Test #10:
score: 5
Accepted
time: 0ms
memory: 3712kb
input:
969348092 956297536 2 1
output:
679600512
result:
ok single line: '679600512'
Test #11:
score: 5
Accepted
time: 6ms
memory: 3712kb
input:
650 660260759 45 16
output:
173373801
result:
ok single line: '173373801'
Test #12:
score: 5
Accepted
time: 5ms
memory: 3840kb
input:
598 221558443 41 40
output:
199993457
result:
ok single line: '199993457'
Test #13:
score: 5
Accepted
time: 6ms
memory: 3584kb
input:
863 269455309 42 29
output:
172561433
result:
ok single line: '172561433'
Test #14:
score: 5
Accepted
time: 4ms
memory: 3712kb
input:
28627 269441503 34 24
output:
180377871
result:
ok single line: '180377871'
Test #15:
score: 5
Accepted
time: 1ms
memory: 3840kb
input:
36656 67854541 25 6
output:
2429047
result:
ok single line: '2429047'
Test #16:
score: 5
Accepted
time: 1ms
memory: 3712kb
input:
27459 172755593 27 20
output:
73460042
result:
ok single line: '73460042'
Test #17:
score: 5
Accepted
time: 5ms
memory: 3712kb
input:
743268139 705178739 33 19
output:
311756018
result:
ok single line: '311756018'
Test #18:
score: 5
Accepted
time: 14ms
memory: 3840kb
input:
934248626 620145553 43 16
output:
121876656
result:
ok single line: '121876656'
Test #19:
score: 5
Accepted
time: 8ms
memory: 3712kb
input:
619290070 907487131 38 19
output:
213941765
result:
ok single line: '213941765'
Test #20:
score: 5
Accepted
time: 3ms
memory: 3712kb
input:
507684930 711845893 28 24
output:
419183631
result:
ok single line: '419183631'
Extra Test:
score: 0
Extra Test Passed