結果

問題 No.1666 累乗数
コンテスト
ユーザー Focus_Sash
提出日時 2021-09-03 23:15:42
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 4,604 bytes
コンパイル時間 4,958 ms
コンパイル使用メモリ 252,560 KB
最終ジャッジ日時 2025-01-24 07:05:21
ジャッジサーバーID
（参考情報） 		judge4 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 1
other TLE * 19
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp:46: warning: "ONLINE_JUDGE" redefined
   46 | #define ONLINE_JUDGE
      | 
<command-line>: note: this is the location of the previous definition

ソースコード

diff # 

#include "bits/stdc++.h"
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using ll = long long;
using vl = vector<long long>;
using pl = pair<long long, long long>;
struct edge {long long to;long long cost;edge(long long t,long long c):to(t),cost(c){}};
using Graph = vector<vector<long long>>;
using WGraph = vector<vector<edge>>;
constexpr int dx[8]{1,0,-1,0,1,1,-1,-1};
constexpr int dy[8]{0,1,0,-1,1,-1,1,-1};
#define rep(i, n) for(long long (i) = 0; (i) < (n); (i)++)
#define reps(i, a, b) for(long long (i) = (a); (i) < (b); (i)++)
#define rrep(i, a, b) for(long long (i) = (a); (i) >= (b); (i)--)
#define all(v) (v).begin(), (v).end()
#define pb push_back
#define V vector
constexpr long long MOD1 = 1000000007;
constexpr long long MOD9 =  998244353;
constexpr long long INF = MOD1*MOD1+1;
constexpr long long LL_MAX = std::numeric_limits<long long>::max();
long long safe_mod(long long n, long long m){if(n >= 0) {return n % m;} else return (n%m + m)%m;}
long long div_ceil(long long a, long long b){return (a + b - 1) / b;}
long long pw(long long x,long long n) {ll ret=1;while(n>0){if(n&1){ret=ret*x;}if(n>>=1){x=x*x;}}return ret;}
template<typename T> T SUM(const vector<T> &v){T ret{};return(accumulate(v.begin(), v.end(), ret));}
template<typename T> T MAX(const vector<T> &v){return *max_element(v.begin(), v.end());}
template<typename T> T MIN(const vector<T> &v){return *min_element(v.begin(), v.end());}
template<typename T> T pwmod(T x, long long n, long long m) {T ret=1;while(n>0){if(n&1)ret=ret*x%m;x=x*x%m;n>>=1;}return ret%m;}
template<typename T> void rsort(vector<T> &v) {sort(v.begin(), v.end(), greater<T>());}
template<typename T> bool chmax(T &a, const T& b) {if(a<b){a=b;return true;}return false;}
template<typename T> bool chmin(T &a, const T& b) {if(a>b){a=b;return true;}return false;}
template<typename T, typename S> pair<T, S> mp(const T &a, const S &b){return make_pair(a, b);}
template<typename T> void uniquify(vector<T> &v){sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end());}
template<typename T,typename S> ostream&operator<<(ostream&os,const pair<T,S>&p){os<<"("<<p.first<<", "<<p.second<<")";return os;}
template<typename T,typename S> ostream&operator<<(ostream&os,const map<T,S>&ma){for(auto [a,b]:ma){os<<"("<<a<<", "<<b<<")"<<" ";}return os;}
template<typename T> ostream &operator<<(ostream&os,const set<T>&s){os<<"{";for(auto c:s)os<<c<<" ";os<<"}";return os;}
template<typename T> ostream &operator<<(ostream&os,const vector<T>&v){os<<"[";for(int i=0;i<v.size();i++){os<<v[i]<<(i==v.size()-1?"]":" ");}return os;}
template<typename T> vector<int> compress(vector<T> &a){
    int n = a.size(); vector<int> ret(n); vector<T> temp = a;
    sort(a.begin(), a.end()); a.erase(unique(a.begin(), a.end()), a.end());
    for(int i = 0; i < n; i++) ret[i] = lower_bound(a.begin(), a.end(), temp[i]) - a.begin();
    return ret;
}

#define ONLINE_JUDGE
#ifdef ONLINE_JUDGE
#define dump(x) true
#else
#define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl
#endif

vector< int > moebius_table(int n) {
    vector< int > mu(n + 1, 1), p(n + 1, 1);
    for(int i = 2; i <= n; i++) {
        if(p[i] == 1) {
            for(int j = i; j <= n; j += i) p[j] = i;
        }
        if((i / p[i]) % p[i] == 0) mu[i] = 0;
        else mu[i] = -mu[i / p[i]];
    }
    return mu;
}

ll sqrt_floor(ll n){
    assert(n >= 0);
    if(n == 0 || n == 1) return n;
    ll ng = n;
    ll ok = 0;
    while(ng - ok > 1){
        ll mid = (ok + ng) / 2;
        if(mid <= n / mid) ok = mid;
        else ng = mid;
    }
    return ok;
}

using lint = __int128;
lint pw(lint x, ll n){lint ret=1;while(n>0){if(n&1){ret=ret*x;}if(n>>=1){x=x*x;}}return ret;}
vector<int> table = moebius_table(64);
V<vl> root_table(61);

void solve(){
    ll k; cin >> k;
    ll ok = 1e18;
    ll ng = 0;
    auto count_root = [&](ll n, ll t){
        //n以下のt乗数の数
        ll ret = 0;
        for(lint i = 2;;i++){
            if(pw(i, t) <= n) ret++;
            else break;
        }
        return ret;
    };
    auto f = [&](ll r) -> bool{
        ll cnt = sqrt_floor(r);
        reps(i, 3, 61){
            cnt += table[i] * count_root(r, i) * -1;
        }
        return cnt >= k;
    };

    while(ok - ng > 1){
        ll mid = (ok + ng) / 2;
        if(f(mid)) ok = mid;
        else ng = mid;
    }
    cout << ok << '\n';
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << std::fixed << std::setprecision(15);
    
    ll cases; cin >> cases;
    while(cases--) solve();

    return 0;
}
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