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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#103320 | #5367. 递增树列 | zhouhuanyi | 20 | 3ms | 3700kb | C++11 | 2.9kb | 2023-05-05 10:23:04 | 2023-05-05 10:23:05 |
Judging History
answer
#include<iostream>
#include<cstdio>
#include<vector>
#define N 80
#define mod 1000000007
using namespace std;
int read()
{
char c=0;
int sum=0;
while (c<'0'||c>'9') c=getchar();
while ('0'<=c&&c<='9') sum=sum*10+c-'0',c=getchar();
return sum;
}
int MD(int x)
{
return x>=mod?x-mod:x;
}
void Adder(int &x,int d)
{
x+=d;
if (x>=mod) x-=mod;
return;
}
void Adder2(int &x,int d)
{
x+=d;
if (x<0) x+=mod;
return;
}
int fast_pow(int a,int b)
{
int res=1,mul=a;
while (b)
{
if (b&1) res=1ll*res*mul%mod;
mul=1ll*mul*mul%mod,b>>=1;
}
return res;
}
int n,ans,sz[N+1],fac[N+1],invfac[N+1],C[N+1][N+1],dp[N+1][N+1],dsp[N+1],DP[N+1][N+1][N+1];
bool used[N+1];
vector<int>E[N+1];
void add(int x,int y)
{
E[x].push_back(y),E[y].push_back(x);
return;
}
void dfs(int x)
{
int res,rst=1;
vector<int>p;
used[x]=sz[x]=dp[x][1]=1;
for (int i=0;i<E[x].size();++i)
if (!used[E[x][i]])
dfs(E[x][i]),p.push_back(E[x][i]),rst+=sz[E[x][i]];
p.push_back(x);
for (int i=0;i<=rst;++i) dsp[i]=0;
for (int i=1;i<=p.size();++i)
for (int j=1;j<=sz[p[i-1]];++j)
{
res=0;
for (int k=0;k<=p.size();++k)
for (int s=0;s<=rst;++s)
for (int t=0;t<=rst;++t)
DP[k][s][t]=0;
DP[0][0][0]=1;
for (int k=1;k<=p.size();++k)
{
if (k==i)
{
for (int s=0;s<=res;++s)
for (int t=s;t<=res;++t)
{
for (int s2=1;s2<=sz[p[k-1]]-(j-1);++s2)
for (int t2=s2;t2<=sz[p[k-1]]-(j-1);++t2)
Adder(DP[k][s+s2][t+t2],1ll*DP[k-1][s][t]*C[sz[p[k-1]]-j][t2-1]%mod*C[t2-1][s2-1]%mod*invfac[s2-1]%mod*fac[t2-1]%mod);
}
res+=sz[p[k-1]]-(j-1);
}
else
{
for (int s=0;s<=res;++s)
for (int t=s;t<=res;++t)
{
for (int s2=1;s2<=sz[p[k-1]];++s2)
for (int t2=s2;t2<=sz[p[k-1]];++t2)
Adder(DP[k][s+s2][t+t2],1ll*DP[k-1][s][t]*C[sz[p[k-1]]][t2]%mod*C[t2-1][s2-1]%mod*invfac[s2]%mod*fac[t2]%mod);
Adder(DP[k][s][t],DP[k-1][s][t]);
}
res+=sz[p[k-1]];
}
}
for (int s=1;s<=res;++s)
for (int t=s;t<=res;++t)
{
if (!((t-s)&1)) Adder(dsp[t+j-1],1ll*dp[p[i-1]][j]*DP[p.size()][s][t]%mod*fac[s-1]%mod);
else Adder2(dsp[t+j-1],-1ll*dp[p[i-1]][j]*DP[p.size()][s][t]*fac[s-1]%mod);
}
}
sz[x]=rst;
for (int i=0;i<=rst;++i) dp[x][i]=dsp[i];
dp[x][0]=1;
return;
}
int main()
{
int x,y;
fac[0]=1;
for (int i=1;i<=N;++i) fac[i]=1ll*fac[i-1]*i%mod;
invfac[N]=fast_pow(fac[N],mod-2);
for (int i=N-1;i>=0;--i) invfac[i]=1ll*invfac[i+1]*(i+1)%mod;
for (int i=0;i<=N;++i) C[i][0]=1;
for (int i=1;i<=N;++i)
for (int j=1;j<=i;++j)
C[i][j]=MD(C[i-1][j-1]+C[i-1][j]);
n=read();
for (int i=1;i<=n-1;++i) x=read(),y=read(),add(x,y);
dfs(1),printf("%d\n",dp[1][n]);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 9
Accepted
Test #1:
score: 9
Accepted
time: 0ms
memory: 3516kb
input:
7 1 2 2 3 2 4 1 5 5 6 3 7
output:
712
result:
ok single line: '712'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
5 1 2 1 3 3 4 4 5
output:
44
result:
ok single line: '44'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
7 1 2 2 3 1 4 3 5 3 6 2 7
output:
576
result:
ok single line: '576'
Test #4:
score: 0
Accepted
time: 2ms
memory: 3584kb
input:
8 1 2 1 3 3 4 2 5 2 6 1 7 2 8
output:
6912
result:
ok single line: '6912'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
8 1 2 2 3 2 4 1 5 2 6 3 7 5 8
output:
3360
result:
ok single line: '3360'
Subtask #2:
score: 11
Accepted
Dependency #1:
100%
Accepted
Test #6:
score: 11
Accepted
time: 2ms
memory: 3672kb
input:
14 1 2 1 3 1 4 1 5 1 6 4 7 2 8 1 9 4 10 7 11 9 12 2 13 11 14
output:
389151297
result:
ok single line: '389151297'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3628kb
input:
13 1 2 2 3 2 4 2 5 4 6 4 7 3 8 4 9 6 10 4 11 11 12 6 13
output:
17381952
result:
ok single line: '17381952'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
12 1 2 2 3 2 4 1 5 5 6 4 7 7 8 5 9 4 10 1 11 7 12
output:
4993920
result:
ok single line: '4993920'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3700kb
input:
15 1 2 1 3 2 4 4 5 2 6 6 7 2 8 8 9 2 10 4 11 8 12 4 13 5 14 9 15
output:
818474475
result:
ok single line: '818474475'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
15 1 2 1 3 2 4 3 5 2 6 5 7 4 8 4 9 1 10 10 11 8 12 10 13 13 14 7 15
output:
16041048
result:
ok single line: '16041048'
Subtask #3:
score: 0
Wrong Answer
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Test #11:
score: 0
Wrong Answer
time: 3ms
memory: 3632kb
input:
25 1 2 1 3 3 4 4 5 2 6 2 7 5 8 5 9 1 10 10 11 9 12 5 13 4 14 12 15 1 16 14 17 2 18 2 19 16 20 18 21 18 22 20 23 17 24 19 25
output:
943564378
result:
wrong answer 1st lines differ - expected: '179142361', found: '943564378'
Subtask #4:
score: 0
Skipped
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
0%
Subtask #5:
score: 0
Skipped
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
0%