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#define PROBLEM "https://judge.yosupo.jp/problem/kth_root_integer" #include<bits/stdc++.h> using namespace std; #define call_from_test #include "../../tools/int128.cpp" #undef call_from_test #ifdef __clang__ #define IGNORE #endif signed main(){ cin.tie(0); ios::sync_with_stdio(0); int T; cin>>T; using ll = __int128_t; for(int t=0;t<T;t++){ ll A,K; cin>>A>>K; ll L=0,R=A+1; while(L+1<R){ ll M=(L+R)>>1; ll res=1; for(int i=0;i<K;i++){ res*=M; if(res>A) break; } if(res<=A) L=M; else R=M; } cout<<L<<"\n"; } cout<<flush; return 0; }
#line 1 "test/yosupo/kth_root_integer.test.cpp" #define PROBLEM "https://judge.yosupo.jp/problem/kth_root_integer" #include<bits/stdc++.h> using namespace std; #define call_from_test #line 1 "tools/int128.cpp" #line 3 "tools/int128.cpp" using namespace std; /* multiprecision: #include <boost/multiprecision/cpp_int.hpp> using ll = boost::multiprecision::cpp_int; */ #endif //BEGIN CUT HERE __int128_t abs128(__int128_t val){return val<0?-val:val;} ostream &operator<<(ostream &os,__int128_t val){ if(ostream::sentry(os)){ __uint128_t tmp=abs128(val); char buf[64]; char *d=end(buf); do{ --d; *d=char(tmp%10+'0'); tmp/=10; }while(tmp); if(val<0) *--d='-'; int len=end(buf)-d; if(os.rdbuf()->sputn(d,len)!=len){ os.setstate(ios_base::badbit); } } return os; } istream &operator>>(istream &is,__int128_t &val){ string s; is>>s; val=0; for(int i=0;i<(int)s.size();i++) if(isdigit(s[i])) val=val*10+s[i]-'0'; if(s[0]=='-') val*=-1; return is; } //END CUT HERE #ifndef call_from_test //INSERT ABOVE HERE signed main(){ return 0; } #endif #line 8 "test/yosupo/kth_root_integer.test.cpp" #undef call_from_test #ifdef __clang__ #define IGNORE #endif signed main(){ cin.tie(0); ios::sync_with_stdio(0); int T; cin>>T; using ll = __int128_t; for(int t=0;t<T;t++){ ll A,K; cin>>A>>K; ll L=0,R=A+1; while(L+1<R){ ll M=(L+R)>>1; ll res=1; for(int i=0;i<K;i++){ res*=M; if(res>A) break; } if(res<=A) L=M; else R=M; } cout<<L<<"\n"; } cout<<flush; return 0; }