#pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("inline") #include using namespace std; template struct cLtraits_identity{ using type = T; } ; template using cLtraits_try_make_signed = typename conditional< is_integral::value, make_signed, cLtraits_identity >::type; template struct cLtraits_common_type{ using tS = typename cLtraits_try_make_signed::type; using tT = typename cLtraits_try_make_signed::type; using type = typename common_type::type; } ; template inline auto max_L(S a, T b) -> typename cLtraits_common_type::type{ return (typename cLtraits_common_type::type) a >= (typename cLtraits_common_type::type) b ? a : b; } inline int my_getchar_unlocked(){ static char buf[1048576]; static int s = 1048576; static int e = 1048576; if(s == e && e == 1048576){ e = fread_unlocked(buf, 1, 1048576, stdin); s = 0; } if(s == e){ return EOF; } return buf[s++]; } inline void rd(int &x){ int k; int m=0; x=0; for(;;){ k = my_getchar_unlocked(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar_unlocked(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } inline void rd(long long &x){ int k; int m=0; x=0; for(;;){ k = my_getchar_unlocked(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar_unlocked(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } inline int rd_int(void){ int x; rd(x); return x; } struct MY_WRITER{ char buf[1048576]; int s; int e; MY_WRITER(){ s = 0; e = 1048576; } ~MY_WRITER(){ if(s){ fwrite_unlocked(buf, 1, s, stdout); } } } ; MY_WRITER MY_WRITER_VAR; void my_putchar_unlocked(int a){ if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){ fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout); MY_WRITER_VAR.s = 0; } MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a; } inline void wt_L(char a){ my_putchar_unlocked(a); } inline void wt_L(long long x){ int s=0; int m=0; char f[20]; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ my_putchar_unlocked('-'); } while(s--){ my_putchar_unlocked(f[s]+'0'); } } template inline T pow2_L(T a){ return a*a; } template inline T pow_L(T a, S b){ T res = 1; res = 1; for(;;){ if(b&1){ res *= a; } b >>= 1; if(b==0){ break; } a *= a; } return res; } inline double pow_L(double a, double b){ return pow(a,b); } inline long long Isqrt_f_L(const long long n){ long long r = sqrt(n); r =max_L(r-2, 0); while((pow2_L((r+1)))<= n ){ r++; } return r; } long long Ikthroot(long long N, long long k){ long long res; if(k==1){ return N; } if(k==2){ return Isqrt_f_L(N); } res = pow(N, 1.0 / k); res =max_L(res-3, 0); while((pow_L((res+1),k))<= N ){ res++; } return res; } int main(){ int i, xr20shxY; int chk[70] = {}; for(i=(1);i<(10);i++){ int j; for(j=(2);j<(10);j++){ int k; k =(pow_L(i,j)); if(k < 70){ chk[k] = 1; } } } int WYIGIcGE = rd_int(); for(xr20shxY=(0);xr20shxY<(WYIGIcGE);xr20shxY++){ long long K; rd(K); long long res; long long cnt; long long k; long long ao_dF3pO; long long tU__gIr_; long long a2conNHc; ao_dF3pO = 1; tU__gIr_ = 1000000000000000000LL; while(ao_dF3pO < tU__gIr_){ if((ao_dF3pO + tU__gIr_)%2==0){ a2conNHc = (ao_dF3pO + tU__gIr_) / 2; } else{ a2conNHc = (ao_dF3pO + tU__gIr_ - 1) / 2; } cnt = 1; for(i=(1);i<(60);i++){ if(!chk[i]){ cnt += Ikthroot(a2conNHc,i) - 1; } } if(cnt >= K){ tU__gIr_ = a2conNHc; } else{ ao_dF3pO = a2conNHc + 1; } } res =tU__gIr_; wt_L(res); wt_L('\n'); } return 0; } // cLay version 20210819-1 [beta] // --- original code --- // ll Ikthroot(ll N, ll k){ // ll res; // if(k==1) return N; // if(k==2) return Isqrt_f(N); // res = pow(N, 1.0 / k); // res = max(res-3, 0); // while( (res+1) ** k <= N ) res++; // return res; // } // // { // int chk[70] = {}; // rep(i,1,10) rep(j,2,10){ // int k; // k = i ** j; // if(k < 70) chk[k] = 1; // } // REP(rd_int()){ // ll @K, res, cnt, k; // res = bsearch_min[ll,x,1,1d18][ // cnt = 1; // rep(i,1,60) if(!chk[i]) cnt += Ikthroot(x,i) - 1; // ](cnt >= K); // wt(res); // } // }