Submission #1835137


Source Code Expand

#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<cstdlib>
#include<algorithm>
using namespace std;

const int N=309;
const int mod=1000000007;

int n,ans,i2;
int dp[N][N][N*2],d[N],fac[N*2],inv[N*2];

int quickpow(int x,int y){
	int s=1;
	for (;y;y>>=1,x=1ll*x*x%mod)
		if (y&1) s=1ll*s*x%mod;
	return s;
}

void init(){
	int i;
	fac[0]=fac[1]=inv[0]=inv[1]=1;
	for (i=2;i<=n+n;i++) fac[i]=1ll*fac[i-1]*i%mod;
	inv[n+n]=quickpow(fac[n+n],mod-2);
	for (i=n+n-1;i;i--) inv[i]=1ll*inv[i+1]*(i+1)%mod;
}

void add(int &x,int y){
	x+=y;
	(x>=mod)?x-=mod:0;
}

int main(){
	int i,j,k;
	scanf("%d",&n);
	for (i=0;i<n;i++) scanf("%d",&d[i]);
	init();
	dp[0][0][0]=1;
	for (i=0;i<n;i++)
		for (j=0;j<=i;j++)
			for (k=0;k<=n+n;k++){
				if (!dp[i][j][k]) continue;
				add(dp[i+1][j][k],1ll*dp[i][j][k]*inv[d[i]-1]%mod);
				if (d[i]>=2&&k+d[i]-2<=n+n) add(dp[i+1][j+1][k+d[i]-2],1ll*dp[i][j][k]*inv[d[i]-2]%mod);
			}
	i2=quickpow(2,mod-2);
	for (j=3;j<=n;j++)
		for (k=0;k<=n+n;k++){
			if (!dp[n][j][k]) continue;
			if (j<n&&k==0) continue;
			if (j==n&&k==0){
				add(ans,1ll*dp[n][j][k]*i2%mod*fac[n-1]%mod);
				continue;
			}
			if (j<n) add(ans,1ll*dp[n][j][k]*k%mod*fac[j-1]%mod*fac[n-j-1]%mod*i2%mod);
		}
	printf("%d\n",ans);
	return 0;
}

Submission Info

Submission Time
Task F - Unicyclic Graph Counting
User wdyhy
Language C++14 (GCC 5.4.1)
Score 1000
Code Size 1331 Byte
Status AC
Exec Time 75 ms
Memory 223488 KB

Compile Error

./Main.cpp: In function ‘int main()’:
./Main.cpp:37:16: warning: ignoring return value of ‘int scanf(const char*, ...)’, declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d",&n);
                ^
./Main.cpp:38:37: warning: ignoring return value of ‘int scanf(const char*, ...)’, declared with attribute warn_unused_result [-Wunused-result]
  for (i=0;i<n;i++) scanf("%d",&d[i]);
                                     ^

Judge Result

Set Name Sample Subtask1 Subtask2 Subtask3 All
Score / Max Score 0 / 0 200 / 200 200 / 200 300 / 300 300 / 300
Status
AC × 2
AC × 9
AC × 18
AC × 28
AC × 39
Set Name Test Cases
Sample 00_example_01.txt, 00_example_02.txt
Subtask1 00_example_01.txt, s1_01.txt, s1_02.txt, s1_03.txt, s1_04.txt, s1_05.txt, s1_06.txt, s1_07.txt, s1_08.txt
Subtask2 00_example_01.txt, 00_example_02.txt, s1_01.txt, s1_02.txt, s1_03.txt, s1_04.txt, s1_05.txt, s1_06.txt, s1_07.txt, s1_08.txt, s2_09.txt, s2_10.txt, s2_11.txt, s2_12.txt, s2_13.txt, s2_14.txt, s2_15.txt, s2_16.txt
Subtask3 00_example_01.txt, 00_example_02.txt, s1_01.txt, s1_02.txt, s1_03.txt, s1_04.txt, s1_05.txt, s1_06.txt, s1_07.txt, s1_08.txt, s2_09.txt, s2_10.txt, s2_11.txt, s2_12.txt, s2_13.txt, s2_14.txt, s2_15.txt, s2_16.txt, s3_17.txt, s3_18.txt, s3_19.txt, s3_20.txt, s3_21.txt, s3_22.txt, s3_23.txt, s3_24.txt, s3_25.txt, s3_26.txt
All 00_example_01.txt, 00_example_02.txt, s1_01.txt, s1_02.txt, s1_03.txt, s1_04.txt, s1_05.txt, s1_06.txt, s1_07.txt, s1_08.txt, s2_09.txt, s2_10.txt, s2_11.txt, s2_12.txt, s2_13.txt, s2_14.txt, s2_15.txt, s2_16.txt, s3_17.txt, s3_18.txt, s3_19.txt, s3_20.txt, s3_21.txt, s3_22.txt, s3_23.txt, s3_24.txt, s3_25.txt, s3_26.txt, s4_27.txt, s4_28.txt, s4_29.txt, s4_30.txt, s4_31.txt, s4_32.txt, s4_33.txt, s4_34.txt, s4_35.txt, s4_36.txt, s4_37.txt
Case Name Status Exec Time Memory
00_example_01.txt AC 2 ms 2304 KB
00_example_02.txt AC 3 ms 10496 KB
s1_01.txt AC 2 ms 2304 KB
s1_02.txt AC 2 ms 2304 KB
s1_03.txt AC 2 ms 2304 KB
s1_04.txt AC 1 ms 2304 KB
s1_05.txt AC 2 ms 2304 KB
s1_06.txt AC 2 ms 2304 KB
s1_07.txt AC 2 ms 2304 KB
s1_08.txt AC 2 ms 2304 KB
s2_09.txt AC 3 ms 10496 KB
s2_10.txt AC 4 ms 12544 KB
s2_11.txt AC 3 ms 12544 KB
s2_12.txt AC 4 ms 12544 KB
s2_13.txt AC 4 ms 12544 KB
s2_14.txt AC 4 ms 12544 KB
s2_15.txt AC 3 ms 12544 KB
s2_16.txt AC 4 ms 12544 KB
s3_17.txt AC 6 ms 26880 KB
s3_18.txt AC 6 ms 26880 KB
s3_19.txt AC 7 ms 28928 KB
s3_20.txt AC 6 ms 24832 KB
s3_21.txt AC 4 ms 14592 KB
s3_22.txt AC 8 ms 37120 KB
s3_23.txt AC 8 ms 37120 KB
s3_24.txt AC 8 ms 37120 KB
s3_25.txt AC 8 ms 37120 KB
s3_26.txt AC 8 ms 37120 KB
s4_27.txt AC 27 ms 112896 KB
s4_28.txt AC 16 ms 71936 KB
s4_29.txt AC 65 ms 207104 KB
s4_30.txt AC 21 ms 90368 KB
s4_31.txt AC 75 ms 223488 KB
s4_32.txt AC 74 ms 223488 KB
s4_33.txt AC 63 ms 223488 KB
s4_34.txt AC 63 ms 223488 KB
s4_35.txt AC 63 ms 223488 KB
s4_36.txt AC 66 ms 223488 KB
s4_37.txt AC 69 ms 223488 KB