verify/aizu_online_judge/ntl/1D.test.cpp

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• Last update: 2025-09-27 14:54:24+09:00
• Problem: https://onlinejudge.u-aizu.ac.jp/courses/library/6/NTL/1/NTL_1_D

Depends on

• Euler's Totient 関数 (Integer/Euler_Totient.hpp)
• Integer/Prime.hpp
• template/bitop.hpp
• template/inout.hpp
• template/macro.hpp
• template/math.hpp
• template/template.hpp
• template/utility.hpp

Code

#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/6/NTL/1/NTL_1_D"

#include"../../../template/template.hpp"
#include"../../../Integer/Euler_Totient.hpp"

int main(){
    int n; cin >> n;
    cout << Euler_Totient(n) << endl;
}

#line 1 "verify/aizu_online_judge/ntl/1D.test.cpp"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/6/NTL/1/NTL_1_D"

#line 2 "template/template.hpp"

using namespace std;

// intrinstic
#include <immintrin.h>

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

// utility
#line 2 "template/utility.hpp"

using ll = long long;

// a ← max(a, b) を実行する. a が更新されたら, 返り値が true.
template<typename T, typename U>
inline bool chmax(T &a, const U b){
    return (a < b ? a = b, 1: 0);
}

// a ← min(a, b) を実行する. a が更新されたら, 返り値が true.
template<typename T, typename U>
inline bool chmin(T &a, const U b){
    return (a > b ? a = b, 1: 0);
}
#line 59 "template/template.hpp"

// math
#line 2 "template/math.hpp"

// 除算に関する関数

// floor(x / y) を求める.
template<typename T, typename U>
T div_floor(T x, U y){ return (x > 0 ? x / y: (x - y + 1) / y); }

// ceil(x / y) を求める.
template<typename T, typename U>
T div_ceil(T x, U y){ return (x > 0 ? (x + y - 1) / y: x / y) ;}

// x を y で割った余りを求める.
template<typename T, typename U>
T mod(T x, U y){
    T q = div_floor(x, y);
    return x - q * y ;
}

// x を y で割った商と余りを求める.
template<typename T, typename U>
pair<T, T> divmod(T x, U y){
    T q = div_floor(x, y);
    return {q, x - q * y};
}

// 四捨五入を求める.
template<typename T, typename U>
T round(T x, U y){
    T q, r;
    tie (q, r) = divmod(x, y);
    return (r >= div_ceil(y, 2)) ? q + 1 : q;
}

// 指数に関する関数

// x の y 乗を求める.
ll intpow(ll x, ll y){
    ll a = 1;
    while (y){
        if (y & 1) { a *= x; }
        x *= x;
        y >>= 1;
    }
    return a;
}

// x の y 乗を z で割った余りを求める.
ll modpow(ll x, ll y, ll z){
    ll a = 1;
    while (y){
        if (y & 1) { (a *= x) %= z; }
        (x *= x) %= z;
        y >>= 1;
    }
    return a;
}

// x の y 乗を z で割った余りを求める.
template<typename T, typename U>
T modpow(T x, U y, T z) {
    T a = 1;
    while (y) {
        if (y & 1) { (a *= x) %= z; }

        (x *= x) %= z;
        y >>= 1;
    }

    return a;
}

// vector の要素の総和を求める.
ll sum(vector<ll> &X){
    ll y = 0;
    for (auto &&x: X) { y+=x; }
    return y;
}

// vector の要素の総和を求める.
template<typename T>
T sum(vector<T> &X){
    T y = T(0);
    for (auto &&x: X) { y += x; }
    return y;
}

// a x + b y = gcd(a, b) を満たす整数の組 (a, b) に対して, (x, y, gcd(a, b)) を求める.
tuple<ll, ll, ll> Extended_Euclid(ll a, ll b) {
    ll s = 1, t = 0, u = 0, v = 1;
    while (b) {
        ll q;
        tie(q, a, b) = make_tuple(div_floor(a, b), b, mod(a, b));
        tie(s, t) = make_pair(t, s - q * t);
        tie(u, v) = make_pair(v, u - q * v);
    }

    return make_tuple(s, u, a);
}

// floor(sqrt(N)) を求める (N < 0 のときは, 0 とする).
ll isqrt(const ll &N) { 
    if (N <= 0) { return 0; }

    ll x = sqrt(N);
    while ((x + 1) * (x + 1) <= N) { x++; }
    while (x * x > N) { x--; }

    return x;
}

// floor(sqrt(N)) を求める (N < 0 のときは, 0 とする).
ll floor_sqrt(const ll &N) { return isqrt(N); }

// ceil(sqrt(N)) を求める (N < 0 のときは, 0 とする).
ll ceil_sqrt(const ll &N) {
    ll x = isqrt(N);
    return x * x == N ? x : x + 1;
}
#line 62 "template/template.hpp"

// inout
#line 1 "template/inout.hpp"
// 入出力
template<class... T>
void input(T&... a){ (cin >> ... >> a); }

void print(){ cout << "\n"; }

template<class T, class... Ts>
void print(const T& a, const Ts&... b){
    cout << a;
    (cout << ... << (cout << " ", b));
    cout << "\n";
}

template<typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &P){
    is >> P.first >> P.second;
    return is;
}

template<typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &P){
    os << P.first << " " << P.second;
    return os;
}

template<typename T>
vector<T> vector_input(int N, int index){
    vector<T> X(N+index);
    for (int i=index; i<index+N; i++) cin >> X[i];
    return X;
}

template<typename T>
istream &operator>>(istream &is, vector<T> &X){
    for (auto &x: X) { is >> x; }
    return is;
}

template<typename T>
ostream &operator<<(ostream &os, const vector<T> &X){
    int s = (int)X.size();
    for (int i = 0; i < s; i++) { os << (i ? " " : "") << X[i]; }
    return os;
}

template<typename T>
ostream &operator<<(ostream &os, const unordered_set<T> &S){
    int i = 0;
    for (T a: S) {os << (i ? " ": "") << a; i++;}
    return os;
}

template<typename T>
ostream &operator<<(ostream &os, const set<T> &S){
    int i = 0;
    for (T a: S) { os << (i ? " ": "") << a; i++; }
    return os;
}

template<typename T>
ostream &operator<<(ostream &os, const unordered_multiset<T> &S){
    int i = 0;
    for (T a: S) { os << (i ? " ": "") << a; i++; }
    return os;
}

template<typename T>
ostream &operator<<(ostream &os, const multiset<T> &S){
    int i = 0;
    for (T a: S) { os << (i ? " ": "") << a; i++; }
    return os;
}
#line 65 "template/template.hpp"

// macro
#line 2 "template/macro.hpp"

// マクロの定義
#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if
#define unless(cond) if (!(cond))
#define until(cond) while (!(cond))
#define loop while (true)

// オーバーロードマクロ
#define overload2(_1, _2, name, ...) name
#define overload3(_1, _2, _3, name, ...) name
#define overload4(_1, _2, _3, _4, name, ...) name
#define overload5(_1, _2, _3, _4, _5, name, ...) name

// 繰り返し系
#define rep1(n) for (ll i = 0; i < n; i++)
#define rep2(i, n) for (ll i = 0; i < n; i++)
#define rep3(i, a, b) for (ll i = a; i < b; i++)
#define rep4(i, a, b, c) for (ll i = a; i < b; i += c)
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)

#define foreach1(x, a) for (auto &&x: a)
#define foreach2(x, y, a) for (auto &&[x, y]: a)
#define foreach3(x, y, z, a) for (auto &&[x, y, z]: a)
#define foreach4(x, y, z, w, a) for (auto &&[x, y, z, w]: a)
#define foreach(...) overload5(__VA_ARGS__, foreach4, foreach3, foreach2, foreach1)(__VA_ARGS__)
#line 68 "template/template.hpp"

// bitop
#line 2 "template/bitop.hpp"

// 非負整数 x の bit legnth を求める.
ll bit_length(ll x) {
    if (x == 0) { return 0; }
    return (sizeof(long) * CHAR_BIT) - __builtin_clzll(x);
}

// 非負整数 x の popcount を求める.
ll popcount(ll x) { return __builtin_popcountll(x); }

// 正の整数 x に対して, floor(log2(x)) を求める.
ll floor_log2(ll x) { return bit_length(x) - 1; }

// 正の整数 x に対して, ceil(log2(x)) を求める.
ll ceil_log2(ll x) { return bit_length(x - 1); }

// x の第 k ビットを取得する
int get_bit(ll x, int k) { return (x >> k) & 1; }

// x のビット列を取得する.
// k はビット列の長さとする.
vector<int> get_bits(ll x, int k) {
    vector<int> bits(k);
    rep(i, k) {
        bits[i] = x & 1;
        x >>= 1;
    }

    return bits;
}

// x のビット列を取得する.
vector<int> get_bits(ll x) { return get_bits(x, bit_length(x)); }
#line 2 "Integer/Euler_Totient.hpp"

#line 2 "Integer/Prime.hpp"

namespace Prime {
  class Pseudo_Prime_Generator {
    private:
    long long prime = 1, step = 0;

    public:
    long long get() {
      if (step) {
        prime += step;
        step = 6 - step;
      }
      else if (prime == 1) { prime = 2; }
      else if (prime == 2) { prime = 3; }
      else if (prime == 3) { prime = 5, step = 2; }

      return prime;
    }
  };

  // n は素数?
  bool is_prime(long long n) {
    if (n <= 3) { return n >= 2; }
    else if (n == 5) { return true; }
    else if ((n % 2 == 0) || (n % 3 == 0) || (n % 5 == 0)) { return false; }

    Pseudo_Prime_Generator generator;
    for (long long p = generator.get(); p * p <= n; p = generator.get()) {
      if (n % p == 0) { return false; }
    }

    return true;
  }

  pair<long long, long long> exponents(long long n, long long p) {
    long long e = 0;
    while (n % p == 0) { e++, n /= p; }
    return {e, n};
  }

  // 素因数分解
  vector<pair<long long, long long>> prime_factorization (long long n) {
    if (n == 0) { return { make_pair(0, 0) }; } 

    vector<pair<long long, long long>> factors;
    if (n < 0) {
      factors.emplace_back(make_pair(-1, 1));
      n = abs(n);
    }

    Pseudo_Prime_Generator generator;
    for (long long p =generator.get(); p * p <= n; p = generator.get()) {
      long long e;
      tie(e, n) = exponents(n, p); 
      if (e) { factors.emplace_back(make_pair(p, e)); }
    }

    if (n > 1) { factors.emplace_back(make_pair(n, 1)); }
  
    return factors;
  }

  // n 以下の素数のリストを作成する.
  vector<long long> prime_list(long long n) {
    if (n == 0 || n == 1) { return {}; }
    else if (n == 2) { return {2}; }

    if (n % 2 == 0) { n--; }

    long long m = (n + 1) / 2;

    // prime_flag[k] := (2k+1) は素数か?
    vector<bool> prime_flag(m, true);
    prime_flag[0] = false;

    // 9 以上の 3 の倍数を消す.
    for (long long x = 4; x < m; x += 3) { prime_flag[x] = false; }

    auto generator = Pseudo_Prime_Generator();
    for (auto p = generator.get(); p * p <= n; p = generator.get()) {
      if (p <= 3) { continue; }

      if (!prime_flag[(p - 1) / 2]) { continue; }

      for (auto j = (p * p - 1) / 2; j < m; j += p) { prime_flag[j] = false; }
    }

    vector<long long> primes{2};

    for (long long k = 0; k < m; k++) {
      if (prime_flag[k]) { primes.emplace_back(2 * k + 1); }
    }

    return primes;
  }
}
#line 4 "Integer/Euler_Totient.hpp"

long long Euler_Totient(long long N, bool mode = true) {
    if (N == 1) { return mode ? 1 : 0; }

    long long phi = 1;
    for (auto &&[p, e]: Prime::prime_factorization(N)) {
        phi *= p - 1;
        for (int k = 0; k < e - 1; k++) { phi *= p; }
    }

    return phi;
}
#line 5 "verify/aizu_online_judge/ntl/1D.test.cpp"

int main(){
    int n; cin >> n;
    cout << Euler_Totient(n) << endl;
}

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