Submission #23219

#TimeUsernameProblemLanguageResultExecution timeMemory
23219aintahi (KRIII5_HI)C++14
2 / 7
500 ms9276 KiB
#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[5110][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; } int res = 0; for(i=1;i<=n;i++){ for(int ii = 1; ii <= sum;ii++){ if(!D[Num[i]][ii])continue; for(j=1;j<w[i];j++){ for(k=1;j+k<=w[i];k++){ res = (res + 1ll * D[Num[i]][ii] * j * j % Mod * Comb[ii+k-2][k] % Mod * C[w[i]-j][k])%Mod; } } res = (res + 1ll * D[Num[i]][ii] * w[i] * w[i] % Mod * C[0][0])%Mod; } } printf("%d\n",res); }

Compilation message (stderr)

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]);
                          ^
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