QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#232889 | #6410. Classical DP Problem | elisaipate | WA | 1ms | 7640kb | C++14 | 1.0kb | 2023-10-31 00:14:31 | 2023-10-31 00:14:31 |
Judging History
answer
#include <iostream>
using namespace std;
#define nmax 5001
#define mod 998244353
int lin[nmax], col[nmax];
long long dp[2][nmax][nmax], n, k;
void fctdp( int ind, int a[] ) {
int i, j;
for( i = 0; i < k; i++ ) {
for( j = 0; j < k+1; j++ ) {
dp[ind][i+1][j] += (long long)(a[i+1] - j) * dp[ind][i][j] % mod;
if( j >= 1 )
dp[ind][i+1][j-1] += (long long)j * dp[ind][i][j] % mod;
}
}
}
int main()
{
int i, j;
long long fact;
cin >> n;
for( i = n; i >= 1; i-- )
cin >> lin[i];
for( i = 1; i <= n; i++) {
for( j = 1; j <= lin[i]; j++ )
col[j]++;
}
k = 1;
while( lin[k] >= k )
k++;
k--;
dp[0][0][lin[k+1]] = 1;
dp[1][0][col[k+1]] = 1;
fctdp( 0, lin );
fctdp( 1, col );
fact = 1;
for( i = 2; i <= k; i++ )
fact = (long long) fact * i % mod;
cout << k << " " << dp[0][k][0] + dp[1][k][0] - fact;
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 5752kb
input:
3 1 2 3
output:
2 6
result:
ok 2 number(s): "2 6"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5608kb
input:
1 1
output:
1 1
result:
ok 2 number(s): "1 1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5620kb
input:
2 1 1
output:
1 2
result:
ok 2 number(s): "1 2"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5592kb
input:
2 2 2
output:
2 6
result:
ok 2 number(s): "2 6"
Test #5:
score: 0
Accepted
time: 0ms
memory: 5748kb
input:
3 1 1 1
output:
1 3
result:
ok 2 number(s): "1 3"
Test #6:
score: 0
Accepted
time: 1ms
memory: 7640kb
input:
3 2 2 2
output:
2 9
result:
ok 2 number(s): "2 9"
Test #7:
score: 0
Accepted
time: 1ms
memory: 5696kb
input:
3 3 3 3
output:
3 48
result:
ok 2 number(s): "3 48"
Test #8:
score: 0
Accepted
time: 1ms
memory: 5728kb
input:
5 1 1 3 3 4
output:
3 47
result:
ok 2 number(s): "3 47"
Test #9:
score: 0
Accepted
time: 1ms
memory: 5764kb
input:
10 2 4 5 5 5 5 6 8 8 10
output:
5 864
result:
ok 2 number(s): "5 864"
Test #10:
score: 0
Accepted
time: 1ms
memory: 5648kb
input:
30 6 8 9 9 9 10 13 14 15 15 16 17 17 18 20 22 22 23 23 24 24 25 25 25 27 28 28 29 29 30
output:
17 986189864
result:
ok 2 number(s): "17 986189864"
Test #11:
score: -100
Wrong Answer
time: 1ms
memory: 6008kb
input:
123 1 1 1 2 2 3 3 6 6 7 7 7 8 8 9 9 10 10 10 11 12 12 12 13 14 14 14 14 16 17 17 17 17 17 18 19 20 20 21 21 22 22 22 23 23 23 25 25 26 27 27 28 28 28 28 29 29 30 31 31 31 32 33 33 33 34 35 35 35 36 37 37 38 39 39 39 39 40 41 41 42 42 42 43 44 48 48 50 52 53 55 56 57 57 57 58 65 68 71 74 75 76 76 82 ...
output:
42 1285424277
result:
wrong answer 2nd numbers differ - expected: '287179924', found: '1285424277'