#include<bits/stdc++.h>
#define int long long
#define ll long long
#define down cout<<'\n';
#define debug cout<<" cucuucucuuu",down
#define NHP ios_base::sync_with_stdio(0);cout.tie(0);cin.tie(0);
#define modwwe int t;cin>>t; while(t--)
#define bit(i,j) (i>>j&1)
#define sobit(a) __builtin_popcountll(a)
#define task "test"
#define fin(x) freopen(x".inp","r",stdin)
#define fou(x) freopen(x".ans","w",stdout)
#define pb push_back
#define mask(k) (1<<k)
#define mp make_pair
#define checktime cerr << (double)clock() / CLOCKS_PER_SEC * 1000 << " ms";
using namespace std;
#define getchar_unlocked getchar
inline int scan()
{
char c = getchar_unlocked();
int x = 0;
while (c < '0' || c > '9')
{
c = getchar_unlocked();
}
while (c >= '0' && c <= '9')
{
x = (x << 1) + (x << 3) + c - '0';
c = getchar_unlocked();
}
return x;
}
void phongbeo();
const int inf = 1e18;
const ll mod2 = 1e9+7;
const int mod1 = 998244353;
const ll base=67;
int add(int x,int y)
{
if(x+y>=mod2) x-=mod2;
if(x+y<0)x+=mod2;
return x+y;
}
struct icd
{
long double a;
int b;
};
struct ib
{
int a;
int b;
};
struct ic
{
int a, b, c;
};
struct id
{
int a, b, c, d;
};
struct ie
{
int a, b, c, d, e;
};
int n, m, s1, s2, s4, s3, sf, k, s5, s6, mx, s7, s8, s9, mx2, res, dem2 = 0, dem = 0, s33, dem3, dem4, mid, l2, r2, center;
int i, s10, s12,k1,k2,k3,s11,lim,w,l,r ;
int kk;
int el = 19;
main()
{
if(fopen(task".inp","r"))
{
fin(task);
fou(task);
}
NHP
/// cin>>s1;
// modwwe
phongbeo();
// checktime
}
int dp[5001];
int dp2[5001];
int pre[5001][5001];
int sz[5001];
vector<int> v[5001];
int fac[5001];
int invf[5001];
int cost[5001];
int ipow(int n,int m)
{
if(m==0) return 1;
int s=ipow(n,m/2);
s=s*s%mod2;
if(m%2==1)s=s*n%mod2;
return s;
}
int c(int x,int y)
{
return (fac[x]*invf[y]%mod2)*invf[x-y]%mod2;
}
void dfs(int x)
{
for(auto f:v[x])
dfs(f);
sz[x]=0;
dp[x]=1;
for(auto f:v[x])
{
sz[x]+=sz[f];
dp[x]=(dp[x]*dp[f]%mod2)*c(sz[x],sz[f])%mod2;
}
sz[x]++;
}
void dfs2(int x)
{
int t=n-sz[x]+1;
int dd=t;
int hihi=x;
for(int j=dd; j>=1; --j)
pre[x][j]=pre[x][j-1];
pre[x][0]=0;
for(int j=1; j<=dd; j++)
pre[x][j]=add(pre[x][j],pre[x][j-1]);
for(auto f:v[x])
{
for(int j=1; j<=dd; j++)
{
if(pre[hihi][j]==0) continue;
if(hihi==x) pre[f][j]=pre[hihi][j];
else pre[f][j]=(pre[hihi][j]*c(t-j,sz[hihi])%mod2)*dp[hihi]%mod2;
}
t+=sz[f];
hihi=f;
}
reverse(v[x].begin(),v[x].end());
hihi=x;
int de=0;
for(auto f:v[x])
{
de+=sz[f];
if(hihi!=x)
{
for(int j=1; j<=dd; j++)
{
if(pre[f][j]==0) continue;
pre[f][j]=(pre[f][j]*dp2[hihi]%mod2)*c(n-sz[f]-j,de-sz[f])%mod2;
}
dp2[f]=(dp2[hihi]*dp[f]%mod2)*c(de,sz[f])%mod2;
}
else dp2[f]=dp[f];
hihi=f;
}
for(auto f:v[x])
dfs2(f);
}
void phongbeo()
{
cin>>n;
invf[0]=1;
fac[0]=1;
for(int i=1; i<=n; i++)
fac[i]=fac[i-1]*i%mod2;
invf[n]=ipow(fac[n],mod2-2);
for(int i=n-1; i>=0; --i)
invf[i]=invf[i+1]*(i+1)%mod2;
for(int i=2; i<=n; i++)
cin>>l,v[l].pb(i);
dfs(1);
pre[1][0]=1;
dfs2(1);
for(int i=1; i<=n; i++)
cin>>cost[i];
for(int i=1; i<=n; i++)
{
s4=0;
for(int j=1; j<=n; j++){
s4=add(s4,((pre[i][j]*c(n-j,sz[i]-1)%mod2)*dp[i]%mod2)*cost[j]%mod2);
}
cout<<s4<<" ";
}
}
Compilation message (stderr)
diversity.cpp:73:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
73 | main()
| ^~~~
diversity.cpp: In function 'int main()':
diversity.cpp:11:23: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
11 | #define fin(x) freopen(x".inp","r",stdin)
| ~~~~~~~^~~~~~~~~~~~~~~~~~~
diversity.cpp:77:9: note: in expansion of macro 'fin'
77 | fin(task);
| ^~~
diversity.cpp:12:23: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
12 | #define fou(x) freopen(x".ans","w",stdout)
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~
diversity.cpp:78:9: note: in expansion of macro 'fou'
78 | fou(task);
| ^~~
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