QOJ.ac
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 |
---|---|---|---|---|---|---|---|---|---|
#841032 | #9254. Random Variables | Hthntd | TL | 900ms | 16760kb | C++20 | 1.3kb | 2025-01-03 11:25:56 | 2025-01-03 11:25:58 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 1e3 + 10;
int T, mod, C[N][N];
unordered_map<int,int> q[N];
ll quick_pow(ll x, int y){
ll res = 1;
while(y){
if(y & 1) res = res * x % mod;
x = x * x % mod;
y >>= 1;
}
return res;
}
void pre(){
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] = (C[i - 1][j] + C[i - 1][j - 1]) % mod;
}
return;
}
int dfs(int x, int y, int lim){
if(x < 0 || !lim) return 0;
if(x == 0) return 1;
if(x == 1) return y;
if(q[x].find(y) != q[x].end()) return q[x][y];
return q[x][y] = (1ll * y * dfs(x - 1, y, lim) % mod - 1ll * dfs(x - lim - 1, y - 1, lim) * C[x - 1][lim] % mod * y % mod + mod) % mod;
}
signed main()
{
// freopen(".in","r",stdin);
// freopen(".out","w",stdout);
// int st = clock();
cin >> T >> mod;
pre();
while(T--){
int n, m;
scanf("%d%d", &n, &m);
ll res = 0, S = quick_pow(m, n);
for(int i = 0; i <= n; ++i){
for(int j = 0; j <= n; ++j){
auto it = q[j].begin();
while(it != q[j].end()) it = q[j].erase(it);
}
res = (res + S - dfs(n, m, i) % mod) % mod;
}
printf("%lld\n", (res + mod) % mod);
}
// int en = clock();
// cerr << en - st << '\n';
return 0;
}
/*
3 123456789
3 2
5 5
7 7
*/
詳細信息
Test #1:
score: 100
Accepted
time: 2ms
memory: 7852kb
input:
3 123456789 3 2 5 5 7 7
output:
18 7145 2066323
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 3ms
memory: 7848kb
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: 2ms
memory: 7852kb
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: 8144kb
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: 2ms
memory: 8148kb
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: 2ms
memory: 7852kb
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: 0ms
memory: 7920kb
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: 2ms
memory: 8152kb
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: 2ms
memory: 8140kb
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: 0ms
memory: 8140kb
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: 7796kb
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: 900ms
memory: 16760kb
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: -100
Time Limit Exceeded
input:
10 922366485 846 278501607 683 609355362 44 978777279 545 730718412 926 323835432 883 761846029 623 408215612 989 588832935 449 743830620 259 183431187