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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#423958#990. Colorful ComponentsAFewSunsAC ✓157ms6908kbC++202.3kb2024-05-28 20:07:272024-05-28 20:07:27

Judging History

你现在查看的是最新测评结果

  • [2024-05-28 20:07:27]
  • 评测
  • 测评结果:AC
  • 用时:157ms
  • 内存:6908kb
  • [2024-05-28 20:07:27]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
namespace my_std{
	#define ll long long
	#define bl bool
	ll my_pow(ll a,ll b,ll mod){
		ll res=1;
		if(!b) return 1;
		while(b){
			if(b&1) res=(res*a)%mod;
			a=(a*a)%mod;
			b>>=1;
		}
		return res;
	}
	ll qpow(ll a,ll b){
		ll res=1;
		if(!b) return 1;
		while(b){
			if(b&1) res*=a;
			a*=a;
			b>>=1;
		}
		return res;
	}
	#define db double
	#define pf printf
	#define pc putchar
	#define fr(i,x,y) for(register ll i=(x);i<=(y);i++)
	#define pfr(i,x,y) for(register ll i=(x);i>=(y);i--)
	#define go(u) for(ll i=head[u];i;i=e[i].nxt)
	#define enter pc('\n')
	#define space pc(' ')
	#define fir first
	#define sec second
	#define MP make_pair
	#define il inline
	#define inf 8e18
	#define random(x) rand()*rand()%(x)
	#define inv(a,mod) my_pow((a),(mod-2),(mod))
	il ll read(){
		ll sum=0,f=1;
		char ch=0;
		while(!isdigit(ch)){
			if(ch=='-') f=-1;
			ch=getchar();
		}
		while(isdigit(ch)){
			sum=sum*10+(ch^48);
			ch=getchar();
		}
		return sum*f;
	}
	il void write(ll x){
		if(x<0){
			x=-x;
			pc('-');
		}
		if(x>9) write(x/10);
		pc(x%10+'0');
	}
	il void writeln(ll x){
		write(x);
		enter;
	}
	il void writesp(ll x){
		write(x);
		space;
	}
}
using namespace my_std;
#define mod 1000000007
ll n,lim,cnt[330],jc[330],jcinv[330],pw[330][330];
ll f[330][330],F[330],g[330][330],h[330][330],ans=0;
il ll C(ll nn,ll mm){
	return jc[nn]*jcinv[mm]%mod*jcinv[nn-mm]%mod;
}
int main(){
	n=read();
	lim=read();
	fr(i,1,n){
		ll x=read();
		cnt[x]++;
	}
	jc[0]=1;
	fr(i,1,n) jc[i]=jc[i-1]*i%mod;
	jcinv[n]=inv(jc[n],mod);
	pfr(i,n-1,0) jcinv[i]=jcinv[i+1]*(i+1)%mod;
	fr(i,1,n){
		pw[i][1]=jcinv[i]*jc[i-1]%mod;
		fr(j,2,n) pw[i][j]=pw[i][j-1]*i%mod;
	}
	f[0][0]=1;
	fr(i,1,n) fr(j,1,i) fr(k,1,min(i,lim)) f[i][j]=(f[i][j]+f[i-k][j-1]*C(i-1,i-k)%mod*pw[k][k]%mod*k)%mod;
	fr(i,1,n){
		fr(j,1,i){
			if((j-1)&1) F[i]=(F[i]-f[i][j]*pw[i][j]%mod+mod)%mod;
			else F[i]=(F[i]+f[i][j]*pw[i][j])%mod;
		}
	}
	g[0][0]=1;
	fr(i,1,n) fr(j,1,i) fr(k,1,i) g[i][j]=(g[i][j]+g[i-k][j-1]*C(i-1,i-k)%mod*F[k]%mod*k)%mod;
	h[0][0]=1;
	fr(i,1,n) fr(j,0,n) fr(k,0,n-j) h[i][j+k]=(h[i][j+k]+h[i-1][j]*g[cnt[i]][k])%mod;
	fr(i,1,n) ans=(ans+h[n][i]*pw[n][i])%mod;
	write(ans);
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3712kb

input:

5 3
1
1
3
1
5

output:

125

result:

ok "125"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5720kb

input:

4 2
2
1
1
1

output:

7

result:

ok "7"

Test #3:

score: 0
Accepted
time: 89ms
memory: 6908kb

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: 94ms
memory: 6896kb

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: 85ms
memory: 6820kb

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: 89ms
memory: 6812kb

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: 137ms
memory: 6752kb

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: 157ms
memory: 6752kb

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: 150ms
memory: 6836kb

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: 114ms
memory: 6896kb

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: 100ms
memory: 6816kb

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: 105ms
memory: 6756kb

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: 151ms
memory: 6772kb

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: 156ms
memory: 6636kb

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"