oj.uz

Submission #913814

# Submission time Handle Problem Language Result Execution time Memory
913814 2024-01-20T09:57:37 Z alexdd Tents (JOI18_tents) C++17
48 / 100
 44 ms 1620 KB 
#include<bits/stdc++.h>
using namespace std;
#define int long long
const int MOD = 1e9+7;
int n,m;
int dp[2][305][305];
int put(int a, int exp)
{
    if(exp==0)
        return 1;
    if(exp%2==0)
        return put((a*a)%MOD,exp/2);
    else
        return (put((a*a)%MOD,exp/2)*a)%MOD;
}
signed main()
{
    cin>>n>>m;
    dp[0][0][0]=1;
    for(int i=1;i<=n;i++)
    {
        for(int cnt1=0;cnt1<=min(m,i);cnt1++)
        {
            for(int cnti=0;cnti<=min(2*i,m-cnt1);cnti++)
            {
                dp[i%2][cnt1][cnti] = dp[1-i%2][cnt1][cnti];///daca nu punem niciun cort pe linia i
                if(cnt1-1>=0) dp[i%2][cnt1][cnti] += dp[1-i%2][cnt1-1][cnti] * (m-cnti-cnt1+1);
                if(cnti-1>=0) dp[i%2][cnt1][cnti] += dp[1-i%2][cnt1+1][cnti-1] * (cnt1+1);
                if(cnti-2>=0) dp[i%2][cnt1][cnti] += (dp[1-i%2][cnt1][cnti-2] * (m-cnt1-cnti+2)*(m-cnt1-cnti+1)/2)%MOD;
                dp[i%2][cnt1][cnti] %= MOD;
            }
        }
    }
    int sum=MOD-1;
    for(int cnt1=0;cnt1<=m;cnt1++)
        for(int cnti=0;cnti+cnt1<=m;cnti++)
            sum = (sum + (dp[n%2][cnt1][cnti] * put(4,cnt1))%MOD)%MOD;
    cout<<sum;
    return 0;
}
/**

dp[i][cnt1][cnti] = numarul de moduri de a pune corturi pe primele i randuri a.i. sa avem cnt1 coloane cu un cort pe ele si cnti coloane interzise (pe care nu mai putem pune corturi)
dp[i][cnt1][cnti] = dp[i-1][cnt1][cnti] + dp[i-1][cnt1-1][cnti] * (m - cnti - cnt1 + 1) + dp[i-1][cnt1+1][cnti-1] * (cnt1+1) + dp[i-1][cnt1][cnti-2] * (m-cnt1-cnti+2) * (m-cnt1-cnti+1) / 2

*/

Subtask #1
48.0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 2 ms 504 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 3 ms 604 KB Output is correct
6 Correct 5 ms 860 KB Output is correct
7 Correct 4 ms 860 KB Output is correct
8 Correct 3 ms 604 KB Output is correct
9 Correct 1 ms 500 KB Output is correct
10 Correct 12 ms 856 KB Output is correct
11 Correct 2 ms 348 KB Output is correct
12 Correct 44 ms 1620 KB Output is correct

Subtask #2
0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 2 ms 504 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 3 ms 604 KB Output is correct
6 Correct 5 ms 860 KB Output is correct
7 Correct 4 ms 860 KB Output is correct
8 Correct 3 ms 604 KB Output is correct
9 Correct 1 ms 500 KB Output is correct
10 Correct 12 ms 856 KB Output is correct
11 Correct 2 ms 348 KB Output is correct
12 Correct 44 ms 1620 KB Output is correct
13 Runtime error 16 ms 344 KB Execution killed with signal 11
14 Halted 0 ms 0 KB -