oj.uz

Submission #23222

# Submission time Handle Problem Language Result Execution time Memory
23222 2017-05-05T06:56:39 Z ainta hi (KRIII5_HI) C++14
2 / 7
 500 ms 7128 KB 
#include<cstdio>
#include<algorithm>
using namespace std;
int P[110], Mod = 1000000007, n, w[60], F[5110], InvF[5110], C[110][110];
int D[128][5010], Comb[5110][110], Num[60], TP[60][5010], 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 nd, int b, int e, int sum){
    if(b==e){
        Num[b] = nd;
        return;
    }
    int m = (b+e)>>1, i, j, k, ss = sum;
    for(i=0;i<=sum;i++)TP[0][i] = D[nd][i];
    for(i=1;i<=m-b+1;i++)for(j=0;j<=5000;j++)TP[i][j] = 0;
    for(i=0;i<=m-b;i++){
        for(j=0;j<=ss;j++){
            for(k=1;k<=w[i+b];k++){
                TP[i+1][j+k] = (TP[i+1][j+k] + 1ll * Comb[j+k][k] * C[w[i+b]][k] % Mod * TP[i][j])%Mod;
            }
        }
        ss += w[b+i];
    }
    for(i=0;i<=ss;i++)D[nd+nd+1][i] = TP[m-b+1][i];
    Do(nd+nd+1, m+1, e, ss);
    for(i=0;i<=sum;i++)TP[0][i] = D[nd][i];
    for(i=1;i<=e-m;i++)for(j=0;j<=5000;j++)TP[i][j] = 0;
    ss = sum;
    for(i=1;i<=e-m;i++){
        for(j=0;j<=ss;j++){
            for(k=1;k<=w[i+m];k++){
                TP[i][j+k] = (TP[i][j+k] + 1ll * Comb[j+k][k] * C[w[i+m]][k] % Mod * TP[i-1][j])%Mod;
            }
        }
        ss += w[m+i];
    }
    for(i=0;i<=ss;i++)D[nd+nd][i] = TP[e-m][i];
    Do(nd+nd, b, m, ss);
}
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);
    int sum = 0;
    for(i=1;i<=n;i++){
        scanf("%d",&w[i]);
        sum += w[i];
    }
    D[1][0] = 1;
    Do(1, 1, n, 0);
    if(n==1){
        printf("%d\n",sum);
        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 <= sum;ii++){
            if(!D[Num[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[Num[i]][ii])%Mod;
        }
    }
    printf("%d\n",res);
}

Compilation message

HI.cpp: In function 'int main()':
HI.cpp:72:19: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d",&n);
                   ^
HI.cpp:75:26: 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 26 ms 7128 KB Output is correct
2 Correct 26 ms 7128 KB Output is correct
3 Correct 26 ms 7128 KB Output is correct
4 Correct 26 ms 7128 KB Output is correct
5 Correct 23 ms 7128 KB Output is correct
6 Correct 23 ms 7128 KB Output is correct
7 Correct 23 ms 7128 KB Output is correct
8 Correct 23 ms 7128 KB Output is correct
9 Correct 23 ms 7128 KB Output is correct
10 Correct 23 ms 7128 KB Output is correct
11 Correct 23 ms 7128 KB Output is correct
12 Correct 16 ms 7128 KB Output is correct
13 Correct 23 ms 7128 KB Output is correct
14 Correct 23 ms 7128 KB Output is correct
15 Correct 19 ms 7128 KB Output is correct
16 Correct 19 ms 7128 KB Output is correct
17 Correct 23 ms 7128 KB Output is correct
18 Correct 26 ms 7128 KB Output is correct
19 Correct 23 ms 7128 KB Output is correct
20 Correct 23 ms 7128 KB Output is correct

Subtask #2
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 7128 KB Output is correct
2 Correct 33 ms 7128 KB Output is correct
3 Correct 59 ms 7128 KB Output is correct
4 Correct 143 ms 7128 KB Output is correct
5 Correct 203 ms 7128 KB Output is correct
6 Correct 326 ms 7128 KB Output is correct
7 Correct 466 ms 7128 KB Output is correct
8 Execution timed out 500 ms 7128 KB Execution timed out
9 Halted 0 ms 0 KB -