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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#423942#990. Colorful ComponentsIratisAC ✓493ms6180kbC++142.0kb2024-05-28 19:53:252024-05-28 19:53:26

Judging History

你现在查看的是最新测评结果

  • [2024-05-28 19:53:26]
  • 评测
  • 测评结果:AC
  • 用时:493ms
  • 内存:6180kb
  • [2024-05-28 19:53:25]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define int long long
#define md(a) a=(a%mod+mod)%mod
#define file(a) freopen(#a".in","r",stdin);freopen(#a".out","w",stdout)

bool ST;

const int N=305,mod=1e9+7;
namespace Math
{
	int fac[N],inv[N],upd,iv[N];
	inline void add(int &x,const int &y){x+=y;if(x>=mod)x-=mod;}
	inline void dec(int &x,const int &y){x-=y;if(x<0)x+=mod;}
	inline int qp(int a,int n)
	{
		if(n<0)return qp(a,n+(mod-1));
		int b=1;while(n){if(n&1)b=b*a%mod;a=a*a%mod,n>>=1;}return b;
	}
	inline void PreC()
	{
		upd=N-5,fac[0]=1;for(int i=1;i<=upd;i++)fac[i]=fac[i-1]*i%mod;
		inv[upd]=qp(fac[upd],mod-2);for(int i=upd-1;i>=0;i--)inv[i]=inv[i+1]*(i+1)%mod;
		for(int i=1;i<=upd;i++)iv[i]=inv[i]*fac[i-1]%mod;
	}
	inline int C(int n,int m){if(n<m||m<0)return 0;return fac[n]*inv[m]%mod*inv[n-m]%mod;}
};
using namespace Math;
int n,K,t[N],bl[N],Tree[N],st[N],f[N][N][2],g[N][N];

bool ED;

signed main()
{
	int time_st=clock();
	cerr<<(&ST-&ED)/1024.0/1024<<endl;ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	cin>>n>>K;for(int i=1,x;i<=n;i++)cin>>x,t[x]++;int now=0;PreC();
	for(int i=1;i<=n;i++){st[i]=now;for(int j=1;j<=t[i];j++)now++,bl[now]=i;}
	Tree[1]=1;for(int i=2;i<=n;i++)Tree[i]=qp(i,i-2);g[0][0]=1;
	for(int i=0;i<=n;i++)for(int j=0;j<=n;j++)if(g[i][j])
	{
		for(int k=1;k<=n-i;k++)if(k<=K)add(g[i+k][j+1],g[i][j]*Tree[k]%mod*k%mod*C(i+k-1,k-1)%mod);
	}
	for(int i=1;i<=n;i++)
	{
		int w[2]={0,0};
		for(int j=1;j<=n;j++)add(w[(j-1)&1],g[i][j]*qp(i,j-2)%mod);
		g[i][0]=w[0],g[i][1]=w[1];
	}f[0][0][0]=1;
	for(int i=0;i<=n;i++)for(int j=0;j<=n;j++)for(int p=0;p<2;p++)
	{
		for(int k=1;k<=n-i;k++)if(bl[i+1]==bl[i+k])for(int q=0;q<2;q++)
		{
			add(f[i+k][j+1][p^q],f[i][j][p]*g[k][q]%mod*k%mod*C(i-st[bl[i+1]]+k-1,k-1)%mod);
		}
	}
	int ans=0;
	for(int t=1;t<=n;t++)for(int p=0;p<2;p++)
	{
		int w=f[n][t][p]*qp(n,t-2)%mod;
		if(!p)add(ans,w);else dec(ans,w);
	}
	cout<<ans<<'\n';
	cerr<<(clock()-time_st)/1e6<<endl;return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 4004kb

input:

5 3
1
1
3
1
5

output:

125

result:

ok "125"

Test #2:

score: 0
Accepted
time: 1ms
memory: 4044kb

input:

4 2
2
1
1
1

output:

7

result:

ok "7"

Test #3:

score: 0
Accepted
time: 115ms
memory: 6164kb

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: 72ms
memory: 6164kb

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: 21ms
memory: 6124kb

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: 28ms
memory: 6028kb

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: 263ms
memory: 6120kb

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: 266ms
memory: 6168kb

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: 477ms
memory: 6148kb

input:

300 290
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
300
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300
300
300
300
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300
300
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300
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300
300
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300
300
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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: 175ms
memory: 6088kb

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: 180ms
memory: 6116kb

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: 95ms
memory: 6032kb

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: 480ms
memory: 6168kb

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: 493ms
memory: 6180kb

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
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300
300
300
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300
300
300
300
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300
300
300
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300
300
300
300
300
300
300
300
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"