QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#422792#990. Colorful ComponentsXun_xiaoyaoAC ✓127ms6608kbC++141.7kb2024-05-27 19:21:572024-05-27 19:21:57

Judging History

你现在查看的是最新测评结果

  • [2024-05-27 19:21:57]
  • 评测
  • 测评结果:AC
  • 用时:127ms
  • 内存:6608kb
  • [2024-05-27 19:21:57]
  • 提交

answer

#include <bits/stdc++.h>
#define Mod 1000000007
using namespace std;
int Qread()
{
	int x=0;char ch=getchar();
	while(ch<'0'||ch>'9') ch=getchar();
	while(ch>='0'&&ch<='9') x=x*10+(ch^48),ch=getchar();
	return x;
}
inline int qpow(int a,int p)
{
	int ret=1;
	for(;p;p>>=1,a=1ll*a*a%Mod)
		if(p&1) ret=1ll*ret*a%Mod;
	return ret;
}
inline void add(int &a,int b){a+=b;if(a>=Mod) a-=Mod;}
inline void del(int &a,int b){a-=b;if(a<0) a+=Mod;}
inline int chk(int a){return a>=Mod?a-Mod:a;}
int C[510][510];
int g[510][510],val[510],sz[510];
int n,K;
int cnt[510],f[510][510],ans[510];
int main()
{
	n=Qread(),K=Qread();
	for(int i=1;i<=n;i++) cnt[Qread()]++;
		
	for(int i=0;i<=n;i++) for(int j=0;j<=i;j++)
		if(j==0||j==i) C[i][j]=1;
		else C[i][j]=chk(C[i-1][j-1]+C[i-1][j]);

	sz[1]=1;
	for(int i=2;i<=n;i++) sz[i]=qpow(i,i-2);

	g[0][0]=1;
	for(int i=1;i<=n;i++) for(int j=1;j<=n;j++)
	{
		for(int k=min(j,K);k;k--)
			add(g[i][j],1ll*g[i-1][j-k]*C[j-1][k-1]%Mod*k%Mod*sz[k]%Mod);
		if(i==1) add(val[j],1ll*g[i][j]*qpow(j,Mod-2)%Mod);
		else (i&1?add:del)(val[j],1ll*g[i][j]*qpow(j,i-2)%Mod);
	}

	ans[0]=1;
	for(int c=1;c<=n;c++) if(cnt[c])
	{
		for(int i=1;i<=cnt[c];i++) for(int j=1;j<=cnt[c];j++) f[i][j]=0;
		f[0][0]=1;
		for(int i=1;i<=cnt[c];i++) for(int j=1;j<=cnt[c];j++) for(int k=1;k<=cnt[c]&&k<=j;k++)
			add(f[i][j],1ll*f[i-1][j-k]*C[j-1][k-1]%Mod*val[k]%Mod*k%Mod);
		for(int i=n;~i;i--)
		{
			ans[i]=0;
			for(int j=1;j<=cnt[c]&&j<=i;j++)
				add(ans[i],1ll*ans[i-j]*f[j][cnt[c]]%Mod);
		}
	}

	int ret=1ll*ans[1]*qpow(n,Mod-2)%Mod;
	for(int i=2;i<=n;i++) add(ret,1ll*ans[i]*qpow(n,i-2)%Mod);
	printf("%d\n",ret);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5968kb

input:

5 3
1
1
3
1
5

output:

125

result:

ok "125"

Test #2:

score: 0
Accepted
time: 0ms
memory: 6032kb

input:

4 2
2
1
1
1

output:

7

result:

ok "7"

Test #3:

score: 0
Accepted
time: 10ms
memory: 5120kb

input:

300 16
2
2
2
4
5
1
5
3
5
4
2
1
4
4
4
5
2
1
5
4
3
4
5
3
5
5
1
3
1
1
2
5
5
3
3
2
5
2
3
2
2
4
2
2
2
4
4
2
2
4
1
3
3
4
1
3
3
4
3
4
3
5
5
4
3
3
1
2
1
2
5
2
2
4
3
3
5
3
2
4
3
5
1
4
5
5
2
3
2
3
4
4
5
5
5
5
4
5
3
2
4
4
4
3
5
3
1
1
3
5
5
4
5
2
5
5
5
2
2
2
3
1
5
4
1
4
3
5
1
4
4
2
5
2
2
4
5
3
4
3
3
4
2
5
1
1
3...

output:

540253743

result:

ok "540253743"

Test #4:

score: 0
Accepted
time: 13ms
memory: 6332kb

input:

300 20
2
7
4
5
1
10
3
10
9
2
6
4
9
4
5
2
6
10
9
8
4
10
8
5
5
1
3
1
1
7
5
5
3
8
7
10
2
3
2
7
4
7
7
7
9
9
2
7
9
6
3
3
4
1
8
8
4
3
4
8
5
10
9
3
3
6
7
6
7
10
7
2
9
3
3
10
3
7
4
8
10
1
4
5
10
2
3
7
3
4
9
5
10
5
10
9
5
3
2
9
4
4
3
10
3
6
1
8
5
10
4
5
7
10
5
5
7
2
7
3
1
5
4
1
9
3
5
1
9
4
7
10
2
2
4
10
8
9
...

output:

616258392

result:

ok "616258392"

Test #5:

score: 0
Accepted
time: 4ms
memory: 5868kb

input:

300 1
124
25
131
70
63
150
139
62
46
94
9
34
25
102
66
120
139
28
134
120
98
135
95
21
43
71
11
87
45
15
33
58
37
70
12
63
132
47
104
97
67
17
9
119
72
87
29
96
53
103
34
71
58
78
34
3
94
78
115
60
139
43
63
46
127
146
37
60
37
12
59
23
43
120
53
107
54
68
70
21
94
125
10
22
143
117
133
64
129
55
14...

output:

450350134

result:

ok "450350134"

Test #6:

score: 0
Accepted
time: 4ms
memory: 5856kb

input:

300 2
131
70
63
150
139
62
46
94
9
34
25
102
66
120
139
28
134
120
98
135
95
21
43
71
11
87
45
15
33
58
37
70
12
63
132
47
104
97
67
17
9
119
72
87
29
96
53
103
34
71
58
78
34
3
94
78
115
60
139
43
63
46
127
146
37
60
37
12
59
23
43
120
53
107
54
68
70
21
94
125
10
22
143
117
133
64
129
55
140
75
10...

output:

942808207

result:

ok "942808207"

Test #7:

score: 0
Accepted
time: 68ms
memory: 6468kb

input:

300 150
1
2
2
2
1
2
1
2
2
2
1
2
2
2
2
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
2
1
2
1
1
1
1
1
2
1
1
2
1
1
2
1
2
2
2
1
2
2
1
2
1
1
1
2
1
2
1
2
1
2
1
1
1
2
1
1
2
2
2
1
2
1
2
2
1
1
1
2
1
1
2
1
2
1
1
1
2
1
2
2
1
2
1
2
1
2
1
2
2
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
2
2
2
2
2
2
1
1
1
2
2
1
1
1
1
1
2
1
1
2
1
1
1
...

output:

169425341

result:

ok "169425341"

Test #8:

score: 0
Accepted
time: 79ms
memory: 5396kb

input:

300 290
2
2
1
2
1
2
2
2
1
2
2
2
2
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
2
1
2
1
1
1
1
1
2
1
1
2
1
1
2
1
2
2
2
1
2
2
1
2
1
1
1
2
1
2
1
2
1
2
1
1
1
2
1
1
2
2
2
1
2
1
2
2
1
1
1
2
1
1
2
1
2
1
1
1
2
1
2
2
1
2
1
2
1
2
1
2
2
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
2
2
2
2
2
2
1
1
1
2
2
1
1
1
1
1
2
1
1
2
1
1
1
1
2
...

output:

394671363

result:

ok "394671363"

Test #9:

score: 0
Accepted
time: 127ms
memory: 6608kb

input:

300 290
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
...

output:

0

result:

ok "0"

Test #10:

score: 0
Accepted
time: 40ms
memory: 5216kb

input:

300 80
1
3
3
3
1
1
2
3
2
3
2
3
1
2
2
3
3
3
3
1
1
1
3
3
3
2
2
1
1
2
3
2
3
3
2
3
2
1
1
2
1
3
1
3
1
3
1
3
1
1
3
1
1
2
1
3
1
3
2
2
1
3
2
2
3
2
1
3
1
2
1
1
2
3
1
1
3
1
2
3
1
1
1
1
1
2
1
1
2
1
3
2
2
2
1
3
1
2
3
3
1
3
3
1
3
1
2
2
2
2
1
1
2
1
1
1
1
2
1
3
2
2
1
1
1
3
1
3
1
1
3
1
2
2
1
3
1
1
3
1
2
3
2
2
1
3
2...

output:

428950103

result:

ok "428950103"

Test #11:

score: 0
Accepted
time: 27ms
memory: 6208kb

input:

300 50
3
3
1
1
2
3
2
3
2
3
1
2
2
3
3
3
3
1
1
1
3
3
3
2
2
1
1
2
3
2
3
3
2
3
2
1
1
2
1
3
1
3
1
3
1
3
1
1
3
1
1
2
1
3
1
3
2
2
1
3
2
2
3
2
1
3
1
2
1
1
2
3
1
1
3
1
2
3
1
1
1
1
1
2
1
1
2
1
3
2
2
2
1
3
1
2
3
3
1
3
3
1
3
1
2
2
2
2
1
1
2
1
1
1
1
2
1
3
2
2
1
1
1
3
1
3
1
1
3
1
2
2
1
3
1
1
3
1
2
3
2
2
1
3
2
2
3...

output:

283683661

result:

ok "283683661"

Test #12:

score: 0
Accepted
time: 34ms
memory: 5228kb

input:

300 50
1
1
2
3
2
3
2
3
1
2
2
3
3
3
3
1
1
1
3
3
3
2
2
1
1
2
3
2
3
3
2
3
2
1
1
2
1
3
1
3
1
3
1
3
1
1
3
1
1
2
1
3
1
3
2
2
1
3
2
2
3
2
1
3
1
2
1
1
2
3
1
1
3
1
2
3
1
1
1
1
1
2
1
1
2
1
3
2
2
2
1
3
1
2
3
3
1
3
3
1
3
1
2
2
2
2
1
1
2
1
1
1
1
2
1
3
2
2
1
1
1
3
1
3
1
1
3
1
2
2
1
3
1
1
3
1
2
3
2
2
1
3
2
2
3
2
1...

output:

280919911

result:

ok "280919911"

Test #13:

score: 0
Accepted
time: 124ms
memory: 5600kb

input:

300 300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
...

output:

394671363

result:

ok "394671363"

Test #14:

score: 0
Accepted
time: 124ms
memory: 6452kb

input:

300 299
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
...

output:

0

result:

ok "0"