oj.uz

Submission #23223

# Submission time Handle Problem Language Result Execution time Memory
23223 2017-05-05T07:04:21 Z ainta hi (KRIII5_HI) C++14
2 / 7
 500 ms 6972 KB 
#include<cstdio>
#include<algorithm>
using namespace std;
int P[110], Mod = 1000000007, n, w[60], F[5110], InvF[5110], C[110][110], S[60];
int D1[60][5010], D2[60][5010], D[60][5010], Comb[5110][110], CC[110][110];
int Pow(int a, int b){
    int r = 1;
    while(b){
        if(b&1)r=1ll*r*a%Mod;
        a=1ll*a*a%Mod;b>>=1;
    }
    return r;
}
void Do(){
    int i, j, k, ss = 0;
    D1[0][0] = 1;
    for(i=1;i<=n;i++){
        for(j=0;j<=ss;j++){
            for(k=1;k<=w[i];k++){
                D1[i][j+k] = (D1[i][j+k] + 1ll * Comb[j+k][k] * C[w[i]][k] % Mod * D1[i-1][j])%Mod;
            }
        }
        ss += w[i];
    }
    ss = 0;
    D2[n+1][0] = 1;
    for(i=n;i>=1;i--){
        for(j=0;j<=ss;j++){
            for(k=1;k<=w[i];k++){
                D2[i][j+k] = (D2[i][j+k] + 1ll * Comb[j+k][k] * C[w[i]][k] % Mod * D2[i+1][j])%Mod;
            }
        }
        ss += w[i];
    }
    for(i=0;i<=n+1;i++){
        for(j=0;j<=ss;j++){
            D1[i][j] = 1ll * D1[i][j] * InvF[j]%Mod;
            D2[i][j] = 1ll * D2[i][j] * InvF[j]%Mod;
        }
    }
    for(i=1;i<=n;i++){
        for(j=0;j<=S[i-1];j++){
            for(k=0;k<=S[n]-S[i];k++){
                D[i][j+k] = (D[i][j+k] + 1ll * D1[i-1][j] * D2[i+1][k]) % Mod;
            }
        }
    }
    for(i=1;i<=n;i++){
        for(j=0;j<=ss;j++){
            D[i][j] = 1ll*D[i][j]* F[j]%Mod;
        }
    }
}
int main(){
    int i, j, k;
    for(i=1;i<=100;i++){
        int s = 0;
        for(j=1;j<i;j++){
            s = (s + 1ll * P[j]*(i-j))%Mod;
        }
        P[i] = (i - s + Mod)%Mod;
    }
    F[0]=1;
    for(i=1;i<=5000;i++){
        F[i]=1ll*F[i-1]*i%Mod;
    }
    InvF[5000] = Pow(F[5000], Mod-2);
    for(i=5000;i>=1;i--)InvF[i-1] = 1ll*InvF[i]*i%Mod;
    for(i=0;i<=5000;i++){
        for(j=0;j<=i&&j<=100;j++)Comb[i][j] = 1ll*F[i]*InvF[j]%Mod*InvF[i-j]%Mod;
    }
    C[0][0] = 1;
    for(i=0;i<100;i++){
        for(j=0;j<=100;j++){
            for(k=0;k+j<=100;k++){
                C[j+k][i+1] = (C[j+k][i+1] + 1ll * C[j][i] * P[k])%Mod;
            }
        }
    }
    scanf("%d",&n);
    for(i=1;i<=n;i++){
        scanf("%d",&w[i]);
        S[i] = S[i-1] + w[i];
    }
    D[1][0] = 1;
    Do();
    if(n==1){
        printf("%d\n", S[n]);
        return 0;
    }
    for(i=1;i<=100;i++){
        for(j=1;j<i;j++){
            for(k=1;k+j<=i;k++){
                CC[i][j] = (CC[i][j] + 1ll*k*k*C[i-k][j])%Mod;
            }
        }
    }
    int res = 0;
    for(i=1;i<=n;i++){
        for(int ii = 1; ii <= S[n];ii++){
            if(!D[i][ii])continue;
            int ss = w[i] * w[i];
            for(j=1;j<w[i];j++){
                ss = (ss + 1ll * Comb[ii + j - 2][j] * CC[w[i]][j])%Mod;
            }
            res = (res + 1ll * ss * D[i][ii])%Mod;
        }
    }
    printf("%d\n",res);
}

Compilation message

HI.cpp: In function 'int main()':
HI.cpp:80:19: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d",&n);
                   ^
HI.cpp:82:26: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d",&w[i]);
                          ^

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 6972 KB Output is correct
2 Correct 26 ms 6972 KB Output is correct
3 Correct 23 ms 6972 KB Output is correct
4 Correct 23 ms 6972 KB Output is correct
5 Correct 26 ms 6972 KB Output is correct
6 Correct 23 ms 6972 KB Output is correct
7 Correct 26 ms 6972 KB Output is correct
8 Correct 26 ms 6972 KB Output is correct
9 Correct 26 ms 6972 KB Output is correct
10 Correct 26 ms 6972 KB Output is correct
11 Correct 19 ms 6972 KB Output is correct
12 Correct 23 ms 6972 KB Output is correct
13 Correct 23 ms 6972 KB Output is correct
14 Correct 23 ms 6972 KB Output is correct
15 Correct 26 ms 6972 KB Output is correct
16 Correct 26 ms 6972 KB Output is correct
17 Correct 23 ms 6972 KB Output is correct
18 Correct 23 ms 6972 KB Output is correct
19 Correct 23 ms 6972 KB Output is correct
20 Correct 23 ms 6972 KB Output is correct

Subtask #2
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 6972 KB Output is correct
2 Correct 33 ms 6972 KB Output is correct
3 Correct 49 ms 6972 KB Output is correct
4 Correct 129 ms 6972 KB Output is correct
5 Correct 176 ms 6972 KB Output is correct
6 Correct 279 ms 6972 KB Output is correct
7 Correct 423 ms 6972 KB Output is correct
8 Execution timed out 500 ms 6972 KB Execution timed out
9 Halted 0 ms 0 KB -