QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#487384#990. Colorful ComponentstarjenAC ✓76ms5516kbC++201.8kb2024-07-22 20:54:262024-07-22 20:54:26

Judging History

你现在查看的是最新测评结果

  • [2024-07-22 20:54:26]
  • 评测
  • 测评结果:AC
  • 用时:76ms
  • 内存:5516kb
  • [2024-07-22 20:54:26]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long
const int maxn=100010;
const int mod=1e9+7;
int ksm(int x,int k){
    int res=1;
    while(k){
        if(k&1)res=res*x%mod;
        x=x*x%mod;
        k/=2;
    }
    return res;
}
int ny(int x){
    return ksm(x,mod-2);
}
void add(int &x,int y){
    if((x+=y)>=mod)x-=mod;
}
void del(int &x,int y){
    if((x-=y)<0)x+=mod;
}
int inv[maxn],fac[maxn];
int C(int n,int m){return n==0?1:fac[n]*inv[n-m]%mod*inv[m]%mod;}
int A(int n,int m){return n==0?1:fac[n]*inv[n-m]%mod;}
void init(){
    inv[0]=fac[0]=1;
    inv[1]=1;
    for(int i=1;i<maxn;i++){
        fac[i]=fac[i-1]*i%mod;
    }
    inv[1]=1;
    for(int i=2;i<maxn;i++){
        inv[i]=(int)(mod-mod/i)*inv[mod%i]%mod;
    }
    inv[0]=1;
    for(int i=1;i<maxn;i++){
        inv[i]=inv[i-1]*inv[i]%mod;
    }
}
int f(int x){
    if(x==1)return 1;
    return ksm(x,x-2);
}
signed main()
{
    init();
    int n,k;cin>>n>>k;
    map<int,int> a;
    for(int i=1;i<=n;i++){
        int x;cin>>x;a[x]++;
    }
    if(a.size()==1){
        if(n==k){
            if(n==1)cout<<1;
            else cout<<ksm(n,n-2);
        }
        else cout<<0;
        return 0;
    }
    int ans=ksm(n,(int)a.size()-2);
    int N=n;
    for(auto [col,n]:a){
        vector<vector<int>>dp(n+1,vector<int>(n+1,0));
        dp[0][0]=1;
        // cout<<"col="<<col<<" n="<<n<<endl;
        for(int i=1;i<=n;i++){
            for(int j=1;j<=n;j++){
                for(int z=max(0ll,j-k);z<j;z++){
                    add(dp[i][j],dp[i-1][z]*C(n-z-1,j-z-1)%mod*f(j-z)%mod*(j-z)%mod);
                }
                // cout<<"dp["<<i<<"]["<<j<<"]="<<dp[i][j]<<endl;
            }
        }
        int res=0;
        for(int i=1;i<=n;i++){
            for(int j=n;j<=n;j++)add(res,dp[i][j]*ksm(N-n,i-1)%mod);
        }
        ans=ans*res%mod;
    }
    cout<<ans<<endl;
}

详细

Test #1:

score: 100
Accepted
time: 2ms
memory: 5120kb

input:

5 3
1
1
3
1
5

output:

125

result:

ok "125"

Test #2:

score: 0
Accepted
time: 2ms
memory: 5300kb

input:

4 2
2
1
1
1

output:

7

result:

ok "7"

Test #3:

score: 0
Accepted
time: 6ms
memory: 5220kb

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: 4ms
memory: 5144kb

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: 2ms
memory: 5080kb

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: 5164kb

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: 71ms
memory: 5220kb

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: 76ms
memory: 5516kb

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: 2ms
memory: 5352kb

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: 5296kb

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: 22ms
memory: 5500kb

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: 10ms
memory: 5248kb

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: 2ms
memory: 5080kb

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: 2ms
memory: 5192kb

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"