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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#84810#990. Colorful ComponentsKostlinAC ✓69ms4824kbC++142.0kb2023-03-06 19:18:162023-03-06 19:18:20

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-06 19:18:20]
  • 评测
  • 测评结果:AC
  • 用时:69ms
  • 内存:4824kb
  • [2023-03-06 19:18:16]
  • 提交

answer

#include <cstdio>
#include <cstring>
#include <algorithm>
#include <iostream>
using namespace std;
#define fi first
#define sc second 
#define mkp make_pair
#define pii pair<int,int>
typedef long long ll;
const int N=305,mod=1e9+7,inv2=(mod+1)/2;
inline int read() {
	int x=0,flag=0;char ch=getchar();
	while(ch<'0'||ch>'9') {flag|=(ch=='-');ch=getchar();}
	while('0'<=ch&&ch<='9') {x=(x<<3)+(x<<1)+ch-'0';ch=getchar();}
	return flag?-x:x;
}
inline int mx(int x,int y) {return x>y?x:y;}
inline int mn(int x,int y) {return x<y?x:y;}
inline void swp(int&x,int&y) {x^=y^=x^=y;}
inline int as(int x) {return x>0?x:-x;}

int n,K,c[N],tr[N],ifac[N],C[N][N],f[N][N],pw[N][N];
int F[N],G[N];
inline int ksm(int a,int b=mod-2) {
	int ans=1;
	while(b) {
		if(b&1) ans=1ll*ans*a%mod;
		a=1ll*a*a%mod;
		b>>=1;
	} return ans;
}
inline void prep() {
	tr[1]=1;
	for(int i=2;i<=n;++i) tr[i]=ksm(i,i-2);
	ifac[0]=1;
	for(int i=1;i<=n;++i) ifac[i]=1ll*ifac[i-1]*ksm(i)%mod;
	C[0][0]=1;
	for(int i=1;i<=n;++i) {
		C[i][0]=C[i][i]=1;
		for(int j=1;j<i;++j)
			C[i][j]=(C[i-1][j]+C[i-1][j-1])%mod;
	}
	for(int i=1;i<=n;++i) {
		pw[i][0]=1;
		for(int j=1;j<=n;++j)
			pw[i][j]=1ll*pw[i][j-1]*i%mod;
	}
	f[0][0]=1;
	for(int p=1;p<=n;++p)
		for(int i=1;i<=n;++i)
			for(int j=1;j<=mn(i,K);++j)
				f[p][i]=(f[p][i]+1ll*f[p-1][i-j]*C[i][j]%mod*tr[j]%mod*j)%mod;
	for(int i=1;i<=n;++i)
		for(int j=1;j<=n;++j) 
			f[i][j]=1ll*f[i][j]*ifac[i]%mod;
}
int main() {
	n=read();K=read();
	for(int i=1,x;i<=n;++i) {
		x=read();
		++c[x];
	}
	prep();
	F[0]=1;
	int tot=0;
	for(int i=1;i<=n;++i) {
		if(!c[i]) continue;
		++tot;
		for(int j=0;j<=n;++j)
			for(int k=1;k<=c[i];++k)
				G[j+k]=(G[j+k]+1ll*F[j]*f[k][c[i]]%mod*pw[n-c[i]][k-1])%mod;
		for(int j=0;j<=n;++j) F[j]=G[j],G[j]=0;
	}
	if(tot==1) {
		if(K==n) printf("%d\n",ksm(n,n-2));
		else printf("0\n");
		return 0;
	}
	int ans=0;
	for(int i=tot;i<=n;++i) ans=(ans+1ll*F[i]*ksm(n,tot-2))%mod;
	printf("%d\n",ans);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3688kb

input:

5 3
1
1
3
1
5

output:

125

result:

ok "125"

Test #2:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

4 2
2
1
1
1

output:

7

result:

ok "7"

Test #3:

score: 0
Accepted
time: 13ms
memory: 4572kb

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: 8ms
memory: 4492kb

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: 5ms
memory: 4568kb

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: 2ms
memory: 4612kb

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: 50ms
memory: 4552kb

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: 69ms
memory: 4516kb

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: 62ms
memory: 4544kb

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: 30ms
memory: 4572kb

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: 31ms
memory: 4752kb

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: 20ms
memory: 4820kb

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: 68ms
memory: 4824kb

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: 66ms
memory: 4392kb

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"