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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#88579 | #990. Colorful Components | xiaoyaowudi | WA | 27ms | 3928kb | C++14 | 1.4kb | 2023-03-16 16:03:56 | 2023-03-16 16:04:00 |
Judging History
answer
#include <algorithm>
#include <iostream>
constexpr int p(1e9+7),N(310);
int f[N][N],cnt[N],g[N],t[N],ifac[N],fac[N],inv[N];
int binom(int a,int b){return 1ll*fac[a]*ifac[b]%p*ifac[a-b]%p;}
int fp(int a,int b){int ans(1),off(a);while(b){if(b&1) ans=1ll*ans*off%p;off=1ll*off*off%p;b>>=1;}return ans;}
int main()
{
int n,k;std::ios::sync_with_stdio(false);std::cin.tie(nullptr);
std::cin>>n>>k;for(int i(1),t;i<=n;++i) std::cin>>t,++cnt[t];
int m(0);for(int i(1);i<=n;++i) m=std::max(m,cnt[i]);
f[0][0]=1;
inv[1]=1;for(int i(2);i<N;++i) inv[i]=1ll*(p-p/i)*inv[p%i]%p;
fac[0]=ifac[0]=1;for(int i(1);i<N;++i) fac[i]=1ll*fac[i-1]*i%p,ifac[i]=1ll*ifac[i-1]*inv[i]%p;
for(int i(1);i<=m;++i)
{
int cur(0);
for(int j(2),l(1);j<=i;++j,l=1ll*l*i%p)
{
for(int k(1);i-k>=j-1;++k)
{
f[i][j]=(f[i][j]+1ll*f[i-k][j-1]*t[k]%p*binom(i-1,k-1))%p;
}
cur=(cur+1ll*f[i][j]*l)%p;
}
g[i]=(i<=k)?(i==1?1:fp(i,i-2)):0;
g[i]=(g[i]-cur+p)%p;
t[i]=1ll*g[i]*i%p;f[i][1]=t[i];
}
static int r[N];r[0]=1;
for(int i(1),tot(0);i<=n;++i) if(cnt[i])
{
for(int j(tot+cnt[i]);j>=0;--j)
{
int cur(0);
for(int k(0);k<=cnt[i] && k<=j;++k) cur=(cur+1ll*r[j-k]*f[cnt[i]][k])%p;
r[j]=cur;
}
tot+=cnt[i];
}
int ans(r[1]);
for(int i(2),j(1);i<=n;j=1ll*j*n%p,++i) ans=(ans+1ll*j*r[i])%p;
std::cout<<ans<<std::endl;
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 2ms
memory: 3552kb
input:
5 3 1 1 3 1 5
output:
125
result:
ok "125"
Test #2:
score: 0
Accepted
time: 2ms
memory: 3440kb
input:
4 2 2 1 1 1
output:
7
result:
ok "7"
Test #3:
score: 0
Accepted
time: 2ms
memory: 3424kb
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: 0ms
memory: 3492kb
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: 0ms
memory: 3312kb
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: 3440kb
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: 10ms
memory: 3700kb
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: 7ms
memory: 3508kb
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: -100
Wrong Answer
time: 27ms
memory: 3928kb
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:
976730434
result:
wrong answer 1st words differ - expected: '0', found: '976730434'