Submit Info #5751

Problem Lang User Status Time Memory
Tetration Mod cpp hotman AC 254 ms 0.72 MiB

ケース詳細
Name Status Time Memory
example_00 AC 3 ms 0.67 MiB
example_01 AC 0 ms 0.67 MiB
max_00 AC 51 ms 0.71 MiB
max_01 AC 47 ms 0.68 MiB
max_02 AC 51 ms 0.72 MiB
max_1000000000_00 AC 16 ms 0.68 MiB
max_1000000000_01 AC 16 ms 0.68 MiB
max_1000000000_02 AC 16 ms 0.67 MiB
max_998244353_00 AC 254 ms 0.72 MiB
max_998244353_01 AC 253 ms 0.72 MiB
max_998244353_02 AC 250 ms 0.67 MiB
random_00 AC 34 ms 0.67 MiB
random_01 AC 12 ms 0.67 MiB
random_02 AC 6 ms 0.72 MiB
random_03 AC 13 ms 0.68 MiB
random_04 AC 25 ms 0.68 MiB
small_00 AC 2 ms 0.70 MiB

#pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC push_options #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include<bits/stdc++.h> #include <xmmintrin.h> #include <immintrin.h> using namespace::std; __attribute__((constructor))void init(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);} #include<ext/pb_ds/assoc_container.hpp> #include<ext/pb_ds/tree_policy.hpp> #include <ext/pb_ds/priority_queue.hpp> #include<ext/pb_ds/tag_and_trait.hpp> // #include <boost/multiprecision/cpp_dec_float.hpp> // #include <boost/multiprecision/cpp_int.hpp> // namespace mp = boost::multiprecision; // typedef mp::number<mp::cpp_dec_float<0>> cdouble; // typedef mp::cpp_int cint; template<typename T>using pbds=__gnu_pbds::tree<T,__gnu_pbds::null_type,less<T>,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>; template<typename T>using pbds_map=__gnu_pbds::tree<T,T,less<T>,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>; template<typename T,typename E>using hash_map=__gnu_pbds::gp_hash_table<T,E>; template<typename T>using pqueue =__gnu_pbds::priority_queue<T, greater<T>,__gnu_pbds::rc_binomial_heap_tag>; typedef long long lint; #define INF (1LL<<60) #define IINF (1<<30) #define EPS (1e-10) #define MOD 1000000007LL //#define MOD 998244353LL typedef vector<lint> vec; typedef vector<vector<lint>> mat; typedef vector<vector<vector<lint>>> mat3; typedef vector<string> svec; typedef vector<vector<string>> smat; template<typename T>inline void numout(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i<INF/2?i:"INF";f=1;}cout<<endl;} template<typename T>inline void numout2(T t){for(auto i:t)numout(i);} template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;} template<typename T>inline void output2(T t){for(auto i:t)output(i);} template<typename T>inline void _output(T t){bool f=0;for(lint i=0;i<t.size();i++){cout<<f?"":" "<<t[i];f=1;}cout<<endl;} template<typename T>inline void _output2(T t){for(lint i=0;i<t.size();i++)output(t[i]);} #define rep(i,n) for(lint i=0;i<lint(n);++i) #define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i) #define rrep(i,n) for(lint i=lint(n)-1;i>=0;--i) #define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i) #define irep(i) for(lint i=0;;++i) #define all(n) begin(n),end(n) #define dist(a,b,c,d) sqrt(pow(a-c,2)+pow(b-d,2)) inline lint gcd(lint A,lint B){return B?gcd(B,A%B):A;} inline lint lcm(lint A,lint B){return A/gcd(A,B)*B;} // inline cint cgcd(cint A,cint B){return B?cgcd(B,A%B):A;} // inline cint clcm(cint A,cint B){return A/cgcd(A,B)*B;} inline bool chmin(auto& s,const auto& t){bool res=s>t;s=min(s,t);return res;} inline bool chmax(auto& s,const auto& t){bool res=s<t;s=max(s,t);return res;} const vector<lint> dx={1,0,-1,0,1,1,-1,-1}; const vector<lint> dy={0,1,0,-1,1,-1,1,-1}; #define SUM(v) accumulate(all(v),0LL) auto call=[&](auto f,auto... args){return f(f,args...);}; lint mod_pow(lint x,lint y,lint mod){ lint ret=1%mod; while(y) { if(y%2)ret=ret*x%mod; x=x*x%mod; y/=2; } return ret; } int64_t euler_phi(int64_t n) { int64_t ret = n; for(int64_t i=2;i*i<=n;i++) { if(n%i==0) { ret-=ret/i; while(n%i==0)n/=i; } } if(n>1)ret-=ret/n; return ret; } lint tetration(lint a,lint b,lint m){ vec v; lint d=m; while(d!=1){ v.push_back(d); d=euler_phi(d); } v.push_back(1); if(a==0)return (b+1)%2%m; if(m==1)return 0; if(a==1||b==0){ return 1; } if(lint(v.size())>=b)v.resize(b-1,1); reverse(all(v)); lint ans=a; for(auto e:v){ lint ad=(ans<=32&&a<e&&pow((double)a,ans)<e?0:e); ans=mod_pow(a%e,ans,e)+ad; } return ans%m; } int main(){ lint t; cin>>t; while(t--){ lint a,b,m; cin>>a>>b>>m; cout<<tetration(a,b,m)<<endl; } }