#include "bits/stdc++.h" using namespace std; using ll=long long; using dd=double; using vll=vector< ll>; using vdd=vector< dd>; using vvll=vector< vll>; using vvdd=vector; using vvvll=vector< vvll>; using vvvvll=vector; using pll=pair; using tll=tuple; using qll=tuple; using vpll=vector< pll>; using vtll=vector< tll>; using vqll=vector< qll>; using vvpll=vector; using vvtll=vector; using vvqll=vector; constexpr ll INF = 1LL << 60; struct Fast{ Fast(){ cin.tie(0); ios::sync_with_stdio(false); cout<::max_digits10); } } fast; #define REPS(i, S, E) for (ll i = (S); i <= (E); i++) #define REP(i, N) REPS(i, 0, (N)-1) #define DEPS(i, S, E) for (ll i = (E); i >= (S); i--) #define DEP(i, N) DEPS(i, 0, (N)-1) #define rep(i, S, E) for (ll i = (S); i <= (E); i++) #define dep(i, E, S) for (ll i = (E); i >= (S); i--) #define each(e, v) for (auto&& e : v) #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; }return false; } template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; }return false; } template inline T MaxE(vector&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmax(m,v[i]); return m; } template inline T MinE(vector&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmin(m,v[i]); return m; } template inline T MaxE(vector &v) { return MaxE(v,0,(ll)v.size()-1); } template inline T MinE(vector &v) { return MinE(v,0,(ll)v.size()-1); } template inline T Sum(vector &v,ll S,ll E){ T s=T(); rep(i,S,E)s+=v[i]; return s; } template inline T Sum(vector &v) { return Sum(v,0,v.size()-1); } template inline ll sz(T &v){ return (ll)v.size(); } inline ll CEIL(ll a,ll b){ return (a<0) ? -(-a/b) : (a+b-1)/b; } inline ll FLOOR(ll a,ll b){ return -CEIL(-a,b); } template struct mll_{ ll val; mll_(ll v = 0): val(v % MOD){ if (val < 0) val += MOD; } mll_ operator - () const { return -val; } mll_ operator + (const mll_ &b) const { return val + b.val; } mll_ operator - (const mll_ &b) const { return val - b.val; } mll_ operator * (const mll_ &b) const { return val * b.val; } mll_ operator / (const mll_ &b) const { return mll_(*this) /= b; } mll_ operator + (ll b) const { return *this + mll_(b); } mll_ operator - (ll b) const { return *this - mll_(b); } mll_ operator * (ll b) const { return *this * mll_(b); } friend mll_ operator + (ll a,const mll_ &b) { return b + a; } friend mll_ operator - (ll a,const mll_ &b) { return -b + a; } friend mll_ operator * (ll a,const mll_ &b) { return b * a; } friend mll_ operator / (ll a,const mll_ &b) { return mll_(a)/b; } mll_ &operator += (const mll_ &b) { val=(val+b.val)%MOD; return *this; } mll_ &operator -= (const mll_ &b) { val=(val+MOD-b.val)%MOD; return *this; } mll_ &operator *= (const mll_ &b) { val=(val*b.val)%MOD; return *this; } mll_ &operator /= (const mll_ &b) { ll c=b.val,d=MOD,u=1,v=0; while (d){ ll t = c / d; c -= t * d; swap(c,d); u -= t * v; swap(u,v); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } mll_ &operator += (ll b) { return *this += mll_(b); } mll_ &operator -= (ll b) { return *this -= mll_(b); } mll_ &operator *= (ll b) { return *this *= mll_(b); } mll_ &operator /= (ll b) { return *this /= mll_(b); } bool operator == (const mll_ &b) const { return val == b.val; } bool operator != (const mll_ &b) const { return val != b.val; } bool operator == (ll b) const { return *this == mll_(b); } bool operator != (ll b) const { return *this != mll_(b); } friend bool operator == (ll a,const mll_ &b) { return mll_(a) == b.val; } friend bool operator != (ll a,const mll_ &b) { return mll_(a) != b.val; } friend ostream &operator << (ostream &os,const mll_ &a) { return os << a.val; } friend istream &operator >> (istream &is,mll_ &a) { return is >> a.val; } static mll_ Combination(ll a,ll b){ chmin(b,a-b); if (b<0) return mll_(0); mll_ c = 1; rep(i,0,b-1) c *= a-i; rep(i,0,b-1) c /= i+1; return c; } }; using mll = mll_<1000000006LL>; using mllb = mll_<1000000007LL>; using vmll = std::vector; using vvmll = std::vector; using vvvmll = std::vector; using vvvvmll = std::vector; template inline T POW(T a,ll n){ T r=1; for (; n>0; n>>=1,a*=a){ if (n&1)r*=a; } return r; } inline ll POW(int a,ll n){ return POW((ll)a,n); } #if 0 #include using namespace atcoder; #endif const int MOD = 1000000007; // a^b long long modpow(long long a, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } // a^-1 long long modinv(long long a, long long m) { long long b = m, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= m; if (u < 0) u += m; return u; } const ll M=1000001; map apow; void prep(long long a, int m){ long long amari = a; for (long long r = 1; r < M; ++r) { if (!apow.count(amari)) apow[amari] = r; (amari *= a) %= m; } } // a^x ≡ b (mod. m) となる最小の正の整数 x を求める long long modlog(long long a, long long b, int m) { a %= m, b %= m; // calc sqrt{M} long long lo = -1, hi = m; while (hi - lo > 1) { long long mid = (lo + hi) / 2; if (mid * mid >= m) hi = mid; else lo = mid; } long long sqrtM = hi; // {a^0, a^1, a^2, ..., a^sqrt(m)} #if 0 map apow; long long amari = a; for (long long r = 1; r < sqrtM; ++r) { if (!apow.count(amari)) apow[amari] = r; (amari *= a) %= m; } #endif // check each A^p long long A = modpow(modinv(a, m), M, m); ll amari = b; for (long long q = 0; q < 1000; ++q) { if (amari == 1 && q > 0) return q * M; else if (apow.count(amari)) return q * M + apow[amari]; (amari *= A) %= m; } // no solutions return -1; } void solve() { //{ // rep(i,2,10000000-1){ // auto a=POW(mllb(i),2); // if (a==1){ // continue; // } // a=POW(mllb(i),500000003); // if (a==1){ // continue; // } // cout << i << '\n'; return; // } //} ll X,K; cin >> X >> K; if (X==0){ cout << 0 << '\n';return; } //10^9+7の原始根 5 ll x=modlog(5,X,MOD); mll xx=x; xx/=K; mllb ans=POW(mllb(5),xx.val); cout << ans << '\n'; } int main(){ #if 0 solve(); //cin2solve(); //generand(); #else ll t; cin >> t; prep(5,MOD); rep(i, 0, t-1){ solve(); //cin2solve(); } #endif return 0; }