oj.uz

Submission #684906

# Submission time Handle Problem Language Result Execution time Memory
684906 2023-01-22T20:00:23 Z lucaperju Ruins 3 (JOI20_ruins3) C++17
58 / 100
 6000 ms 17424 KB 
#include <bits/stdc++.h>
using namespace std;
const int mod=1000000007;
long long lgput (long long a, long long exp)
{
    long long rz=1;
    while(exp)
    {
        if(exp&1)
        {
            exp^=1;
            rz=(rz*1LL*a)%mod;
        }
        else
        {
            exp>>=1;
            a=(a*1LL*a)%mod;
        }
    }
    return rz;
}
int inv2;
long long cmb2 (int n)
{
    if(n<2)
        return 0;
    return n*(n-1LL)%mod*1LL*inv2%mod;
}
int v[605];
int dp[605][605][2][3][2]; /// 0=NU ; 1=URMEAZA ; 2=POATE
int main()
{
    ios_base::sync_with_stdio(false);
    dp[0][0][0][0][0]=1;
    inv2=lgput(2,mod-2);
    int n;
    cin>>n;
    for(int i=1;i<=n;++i)
    {
        cin>>v[i];
        v[i]-=i;
    }
    for(int prefX=0;prefX<=n;++prefX)
    {
        int ci=prefX%2;
        int ni=1-ci;
        for(int i=0;i<=n;++i)
            for(int j=0;j<=n;++j)
                for(int b=0;b<=2;++b)
                    for(int c=0;c<=1;++c)
                        dp[i][j][ni][b][c]=0;
        for(int _=0;_<=n;++_)
        {
            if(_ > prefX)
                dp[_][0][ni][2][0] = ( dp[_][0][ni][2][0] + dp[_][0][ci][2][0]*1LL*(_ - prefX)%mod )%mod;
            dp[_][0][ci][0][0] = (dp[_][0][ci][0][0] + dp[_][0][ci][2][0])%mod;
        }
        for(int _=0;_<=n;++_)
            for(int x=0;x<=n;++x)
            {
                ++x;
                dp[_][x-1][ci][0][0] = (dp[_][x-1][ci][0][0] + dp[_][x][ci][0][1])%mod;
                if(x>=2)
                    dp[_][x-1][ci][1][0] = (dp[_][x-1][ci][1][0] + dp[_][x][ci][1][1])%mod;
                else
                    dp[_][x-1][ni][2][0] = (dp[_][x-1][ni][2][0] + dp[_][x][ci][1][1])%mod;
                --x;

                int dpc = dp[_][x][ci][0][0];
                int cate=v[prefX+1] - _;

                dp[_+2][x+0][ci][0][1] = (dp[_+2][x+0][ci][0][1] + dpc*1LL*cmb2(cate)%mod)%mod;

                dp[_+1][x+1][ci][0][1] = (dp[_+1][x+1][ci][0][1] + dpc*1LL*cate%mod)%mod;
                dp[_+1][x+1][ci][1][1] = (dp[_+1][x+1][ci][1][1] + dpc*1LL*cate%mod)%mod;

                dp[_+0][x+2][ci][0][1] = (dp[_+0][x+2][ci][0][1] + dpc*1LL*inv2%mod)%mod;
                dp[_+0][x+2][ci][1][1] = (dp[_+0][x+2][ci][1][1] + dpc)%mod;

                dpc = dp[_][x][ci][1][0];

                dp[_+2][x+0][ci][1][1] = (dp[_+2][x+0][ci][1][1] + dpc*1LL*cmb2(cate)%mod)%mod;

                dp[_+1][x+1][ci][1][1] = (dp[_+1][x+1][ci][1][1] + dpc*1LL*cate%mod)%mod;

                dp[_+0][x+2][ci][1][1] = (dp[_+0][x+2][ci][1][1] + dpc*1LL*inv2%mod)%mod;
            }
    }
    cout<<dp[n][0][n&1][0][0];
    return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #2
52.0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 6 ms 712 KB Output is correct
12 Correct 9 ms 724 KB Output is correct
13 Correct 6 ms 716 KB Output is correct
14 Correct 6 ms 724 KB Output is correct
15 Correct 6 ms 724 KB Output is correct
16 Correct 6 ms 784 KB Output is correct
17 Correct 7 ms 724 KB Output is correct
18 Correct 7 ms 724 KB Output is correct
19 Correct 7 ms 724 KB Output is correct
20 Correct 7 ms 724 KB Output is correct

Subtask #3
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 6 ms 712 KB Output is correct
12 Correct 9 ms 724 KB Output is correct
13 Correct 6 ms 716 KB Output is correct
14 Correct 6 ms 724 KB Output is correct
15 Correct 6 ms 724 KB Output is correct
16 Correct 6 ms 784 KB Output is correct
17 Correct 7 ms 724 KB Output is correct
18 Correct 7 ms 724 KB Output is correct
19 Correct 7 ms 724 KB Output is correct
20 Correct 7 ms 724 KB Output is correct
21 Execution timed out 6089 ms 17424 KB Time limit exceeded
22 Halted 0 ms 0 KB -