#include <bits/stdc++.h>   using namespace std;   const int MOD = 1000000007;   template <typename T>   struct modular {     constexpr modular() : val(0) {}     constexpr modular(const modular<T>& _m) : val(_m.val) {}     template <typename U>     constexpr modular(const U& _r = U()) {       val = -MOD <= _r && _r < MOD ? _r : _r % MOD;       if (val < 0) {         val += MOD;       }     }     const T operator()() { return val; }     template <typename U>     explicit operator U() const {       return static_cast<U>(val);     }     modular<T>& operator+=(const modular<T>& _m) {       if ((val += _m.val) >= MOD) {         val -= MOD;       }       return *this;     }     modular<T>& operator-=(const modular<T>& _m) {       if ((val -= _m.val) < 0) {         val += MOD;       }       return *this;     }     modular<T>& operator*=(const modular<T>& _m) {       val = modular<T>(static_cast<int64_t>(val) * static_cast<int64_t>(_m.val))                 .val;       return *this;     }     modular<T>& operator/=(const modular<T>& _m) {       T a = _m.val, b = MOD, u = 0, v = 1;       while (a != 0) {         T q = b / a;         b -= q * a;         swap(a, b);         u -= q * v;         swap(u, v);       }       return *this *= u;     }     modular<T>& operator=(const modular<T>& _m) {       val = _m.val;       return *this;     }     template <typename U>     modular<T>& operator+=(const U& _r) {       return *this += modular<T>(_r);     }     template <typename U>     modular<T>& operator-=(const U& _r) {       return *this -= modular<T>(_r);     }     template <typename U>     modular<T>& operator*=(const U& _r) {       return *this *= modular<T>(_r);     }     template <typename U>     modular<T>& operator/=(const U& _r) {       return *this /= modular<T>(_r);     }     template <typename U>     modular<T>& operator=(const U& _r) {       val = modular<T>(_r).val;       return *this;     }     modular<T> operator-() { return modular<T>(-val); }     template <typename U>     friend bool operator==(const modular<U>&, const modular<U>&);     friend std::istream& operator>>(std::istream& os, modular<T>& _m) {       os >> _m.val;       _m *= 1;       return os;     }     friend std::ostream& operator<<(std::ostream& os, const modular<T>& _m) {       return os << _m.val;     }     template <typename U>     modular<T> exp(U e) {       modular<T> res = 1;       modular<T> b = val;       if (e < 0) {         b = 1 / b;         e *= -1;       }       for (; e; e >>= 1) {         if (e & 1) {           res *= b;         }         b *= b;       }       return res;     }       private:     T val;   };   template <typename T>   inline modular<T> operator+(const modular<T>& _lhs, const modular<T>& _rhs) {     return modular<T>(_lhs) += _rhs;   }   template <typename T, typename U>   inline modular<T> operator+(const modular<T>& _lhs, const U& _rhs) {     return modular<T>(_lhs) += _rhs;   }   template <typename T, typename U>   inline modular<T> operator+(const U& _lhs, const modular<T>& _rhs) {     return modular<T>(_lhs) += _rhs;   }   template <typename T>   inline modular<T> operator-(const modular<T>& _lhs, const modular<T>& _rhs) {     return modular<T>(_lhs) -= _rhs;   }   template <typename T, typename U>   inline modular<T> operator-(const modular<T>& _lhs, const U& _rhs) {     return modular<T>(_lhs) -= _rhs;   }   template <typename T, typename U>   inline modular<T> operator-(const U& _lhs, const modular<T>& _rhs) {     return modular<T>(_lhs) -= _rhs;   }   template <typename T>   inline modular<T> operator*(const modular<T>& _lhs, const modular<T>& _rhs) {     return modular<T>(_lhs) *= _rhs;   }   template <typename T, typename U>   inline modular<T> operator*(const modular<T>& _lhs, const U& _rhs) {     return modular<T>(_lhs) *= _rhs;   }   template <typename T, typename U>   inline modular<T> operator*(const U& _lhs, const modular<T>& _rhs) {     return modular<T>(_lhs) *= _rhs;   }   template <typename T>   inline modular<T> operator/(const modular<T>& _lhs, const modular<T>& _rhs) {     return modular<T>(_lhs) /= _rhs;   }   template <typename T, typename U>   inline modular<T> operator/(const modular<T>& _lhs, const U& _rhs) {     return modular<T>(_lhs) /= _rhs;   }   template <typename T, typename U>   inline modular<T> operator/(const U& _lhs, const modular<T>& _rhs) {     return modular<T>(_lhs) /= _rhs;   }   template <typename T>   inline bool operator==(const modular<T>& _lhs, const modular<T>& _rhs) {     return _lhs.val == _rhs.val;   }   template <typename T, typename U>   inline bool operator==(const modular<T>& _lhs, const U& _rhs) {     return _lhs == modular<T>(_rhs);   }   template <typename T, typename U>   inline bool operator==(const U& _lhs, const modular<T>& _rhs) {     return modular<T>(_lhs) == _rhs;   }   template <typename T>   inline bool operator!=(const modular<T>& _lhs, const modular<T>& _rhs) {     return !(_lhs == _rhs);   }   template <typename T, typename U>   inline bool operator!=(const modular<T>& _lhs, const U& _rhs) {     return !(_lhs == _rhs);   }   template <typename T, typename U>   inline bool operator!=(const U& _lhs, const modular<T>& _rhs) {     return !(_lhs == _rhs);   }   void __solve() {     int n;     cin >> n;     vector<int> pa(n);     pa[0] = -1;     vector<vector<int>> g(n);     for (int i = 1; i < n; i++) {       int x;       cin >> x;       x--;       pa[i] = x;       g[x].push_back(i);     }     vector<array<modular<int>, 2>> dn(n);     for (int u = n - 1; u >= 0; u--) {       modular<int> x = 1, z = 1;       for (int v : g[u]) {         x *= dn[v][0] + dn[v][1];         z *= dn[v][0];       }       dn[u][0] = z;       dn[u][1] = x;     }     vector<array<modular<int>, 2>> up(n);     up[0][0] = up[0][1] = 1;     for (int u = 0; u < n; u++) {       int m = g[u].size();       {         vector<modular<int>> pref(m + 1), suff(m + 1);         pref[0] = suff[m] = 1;         for (int i = 0; i < m; i++) {           pref[i + 1] = pref[i] * dn[g[u][i]][0];         }         for (int i = m - 1; i >= 0; i--) {           suff[i] = suff[i + 1] * dn[g[u][i]][0];         }         for (int i = 0; i < m; i++) {           int v = g[u][i];           up[v][0] = up[u][0] * pref[i] * suff[i + 1];         }       }       {         vector<modular<int>> pref(m + 1), suff(m + 1);         pref[0] = suff[m] = 1;         for (int i = 0; i < m; i++) {           pref[i + 1] = pref[i] * (dn[g[u][i]][0] + dn[g[u][i]][1]);         }         for (int i = m - 1; i >= 0; i--) {           suff[i] = suff[i + 1] * (dn[g[u][i]][0] + dn[g[u][i]][1]);         }         for (int i = 0; i < m; i++) {           int v = g[u][i];           up[v][1] = up[v][0] + up[u][1] * pref[i] * suff[i + 1];         }       }     }     for (int i = 0; i < n; i++) {       modular<int> res = dn[i][1] * up[i][1];       cout << res <<    ;     }   }   void solve() {     int n;     cin >> n;     vector<int> pa(n);     pa[0] = -1;     vector<vector<int>> g(n);     for (int i = 1; i < n; i++) {       int x;       cin >> x;       x--;       pa[i] = x;       g[x].push_back(i);     }     vector<modular<int>> dn(n);     for (int u = n - 1; u >= 0; u--) {       dn[u] = 1;       for (int v : g[u]) {         dn[u] *= dn[v] + 1;       }     }     vector<modular<int>> up(n);     up[0] = 1;     for (int u = 0; u < n; u++) {       int m = g[u].size();       vector<modular<int>> pref(m + 1), suff(m + 1);       pref[0] = suff[m] = 1;       for (int i = 0; i < m; i++) {         int v = g[u][i];         pref[i + 1] = pref[i] * (dn[v] + 1);       }       for (int i = m - 1; i >= 0; i--) {         int v = g[u][i];         suff[i] = suff[i + 1] * (dn[v] + 1);       }       for (int i = 0; i < m; i++) {         int v = g[u][i];         up[v] = 1 + up[u] * pref[i] * suff[i + 1];       }     }     for (int i = 0; i < n; i++) {       cout << dn[i] * up[i] <<    ;     }   }   int main() {     ios_base::sync_with_stdio(false);     cin.tie(NULL);     solve();     return 0;   }