QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#667079#7875. Queue SortingCalculateloveAC ✓75ms4952kbC++141.5kb2024-10-22 20:58:512024-10-22 20:59:02

Judging History

你现在查看的是最新测评结果

  • [2024-10-22 20:59:02]
  • 评测
  • 测评结果:AC
  • 用时:75ms
  • 内存:4952kb
  • [2024-10-22 20:58:51]
  • 提交

answer

#include <bits/stdc++.h>

const int N = 510;
const int mod = 998244353;

int qpow(int a, int b, int p) {
    int ans = 1;
    for (; b; b >>= 1) {
        if (b & 1) ans = 1ll * ans * a % p;
        a = 1ll * a * a % p;
    }
    return ans;
}

int n;
int a[N], pre[N];

int fact[N], facv[N];
void fact_init(const int &n) {
    fact[0] = 1;
    for (int i = 1; i <= n; i ++) fact[i] = 1ll * fact[i - 1] * i % mod;

    facv[n] = qpow(fact[n], mod - 2, mod);
    for (int i = n - 1; i >= 0; i --) facv[i] = 1ll * facv[i + 1] * (i + 1) % mod;
}

int binom(int n, int m) {
    if (n < m || m < 0) return 0;
    return 1ll * facv[m] * facv[n - m] % mod * fact[n] % mod;
}

int f[N][N];

int main() {
    scanf("%d", &n);

    for (int i = 1; i <= n; i ++)
        scanf("%d", &a[i]);
    
    for (int i = 1; i <= n; i ++)
        pre[i] = pre[i - 1] + a[i];

    fact_init(500);

    f[0][0] = 1;
    for (int i = 1; i <= n; i ++) {
        for (int j = 0; j <= pre[i - 1]; j ++) {
            f[i][j] = (f[i][j] + f[i - 1][j]) % mod;
            for (int x = 1; x <= a[i]; x ++) {
                for (int k = j + 1; k <= pre[i - 1]; k ++) {
                    f[i][x + k - 1] = (f[i][x + k - 1] + 1ll * f[i - 1][j] * binom(x + k - j - 2, x - 1)) % mod;
                }
            }
        }
    }

    int ans = 0;
    for (int j = 0; j <= pre[n]; j ++) ans = (ans + f[n][j]) % 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: 0ms
memory: 3888kb

input:

4
1 1 1 1

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 74ms
memory: 4480kb

input:

300
0 5 2 2 1 0 3 2 2 5 2 1 1 2 1 3 2 3 2 0 0 0 0 1 2 2 3 0 2 2 3 2 0 2 3 0 6 0 0 2 0 1 3 2 1 1 1 3 4 0 1 0 4 1 1 1 1 1 1 2 3 2 1 2 3 2 3 0 5 3 3 2 0 1 1 0 2 1 1 2 0 0 2 1 1 3 2 2 1 2 1 3 0 3 0 1 2 2 0 5 0 2 2 0 0 0 1 2 1 4 2 1 1 0 3 0 2 0 3 1 1 2 0 2 1 1 0 2 0 1 2 2 3 3 1 1 1 1 0 1 3 3 1 0 2 2 4 2 ...

output:

507010274

result:

ok 1 number(s): "507010274"

Test #3:

score: 0
Accepted
time: 75ms
memory: 4952kb

input:

500
1 1 0 2 1 0 2 3 2 0 0 2 0 2 1 1 0 0 1 1 1 2 1 1 1 0 1 1 2 2 1 4 0 2 1 0 2 3 1 0 1 1 0 2 1 2 2 1 0 0 3 1 4 1 1 2 1 1 0 1 3 1 2 0 0 0 2 1 2 0 0 3 2 1 1 1 1 1 2 1 0 1 0 0 0 1 0 0 2 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 2 1 1 0 1 1 0 1 1 0 0 1 0 3 1 3 0 0 2 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 2 0 0 ...

output:

7590964

result:

ok 1 number(s): "7590964"

Test #4:

score: 0
Accepted
time: 74ms
memory: 4164kb

input:

200
3 1 0 3 2 1 0 3 1 1 2 3 3 1 6 2 1 3 2 1 1 2 1 2 1 5 2 2 3 4 0 4 2 1 2 2 0 2 3 1 2 3 6 3 2 3 2 2 4 2 7 2 1 5 1 9 0 4 4 8 3 3 3 1 3 0 2 2 8 1 3 5 4 3 0 6 1 6 1 3 4 2 2 1 1 4 4 4 1 0 4 3 4 3 3 0 3 2 0 0 3 4 0 3 1 3 2 4 3 2 0 3 2 2 3 2 2 2 1 2 2 1 0 2 0 3 1 3 5 1 3 3 6 5 3 2 2 2 3 6 2 0 5 2 2 2 2 1 ...

output:

507844569

result:

ok 1 number(s): "507844569"

Test #5:

score: 0
Accepted
time: 13ms
memory: 4068kb

input:

100
4 8 2 5 4 4 3 0 2 7 2 3 4 4 1 2 3 4 4 4 3 3 3 3 3 2 4 1 3 5 5 1 4 6 1 1 1 3 2 3 2 1 0 1 4 4 2 4 2 5 3 5 1 6 2 3 3 1 4 4 4 1 4 4 3 4 2 0 2 3 6 1 3 3 5 4 1 1 2 3 0 3 2 2 1 3 3 2 5 6 3 2 3 3 5 4 2 3 4 4

output:

989550242

result:

ok 1 number(s): "989550242"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

1
1

output:

1

result:

ok 1 number(s): "1"

Test #7:

score: 0
Accepted
time: 1ms
memory: 4736kb

input:

500
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

output:

1

result:

ok 1 number(s): "1"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3848kb

input:

10
2 1 3 3 2 3 1 1 3 1

output:

165452340

result:

ok 1 number(s): "165452340"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3996kb

input:

20
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0

output:

2

result:

ok 1 number(s): "2"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3916kb

input:

20
0 0 1 0 0 0 0 1 0 0 0 0 0 0 2 0 1 0 0 0

output:

28

result:

ok 1 number(s): "28"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

10
1 1 1 1 1 1 1 1 1 1

output:

16796

result:

ok 1 number(s): "16796"

Test #12:

score: 0
Accepted
time: 17ms
memory: 4380kb

input:

300
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

431279497

result:

ok 1 number(s): "431279497"

Test #13:

score: 0
Accepted
time: 26ms
memory: 3824kb

input:

2
232 268

output:

929717758

result:

ok 1 number(s): "929717758"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

1
500

output:

1

result:

ok 1 number(s): "1"

Test #15:

score: 0
Accepted
time: 41ms
memory: 3768kb

input:

3
155 180 165

output:

911108550

result:

ok 1 number(s): "911108550"

Extra Test:

score: 0
Extra Test Passed