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- #include <iostream>
- #include <iomanip>
- #include <ostream>
- #include <istream>
- #include <set>
- #include <unordered_set>
- #include <map>
- #include <unordered_map>
- #include <bitset>
- #include <vector>
- #include <string>
- #include <stack>
- #include <queue>
- #include <deque>
- #include <array>
- #include <algorithm>
- #include <functional>
- #include <cmath>
- #include <time.h>
- #include <random>
- #include <chrono>
- #include <cassert>
- #include <cstring>
- #include <limits>
- using namespace std;
- #define int long long
- #define pb push_back
- #define ppb pop_back
- #define all(a) (a).begin(), (a).end()
- #define pii pair<int, int>
- #define ld long double
- istream& operator>> (istream& in, pii& b) {
- in >> b.first >> b.second;
- return in;
- }
- ostream& operator<< (ostream& out, const pii& b) {
- out << "{" << b.first << ", " << b.second << "}";
- return out;
- }
- template<typename T> ostream& operator<< (ostream& out, const vector<T>& a) {
- for (auto k : a) out << k << " ";
- return out;
- }
- template <typename T1, typename T2> inline bool chkmin(T1 &x, const T2 &y) {if (x > y) {x = y; return 1;} return 0;}
- template <typename T1, typename T2> inline bool chkmax(T1 &x, const T2 &y) {if (x < y) {x = y; return 1;} return 0;}
- #ifdef LOCAL
- #define dbg(x) cout << #x << " : " << (x) << endl;
- const long long INF = 1e18;
- // const long long mod = 2600000069;
- // const long long p = 10;
- #else
- #define dbg(x) 57
- const long long INF = 1e18;
- // const long long mod = 2600000069;
- // const long long p = 179;
- #endif
- const ld PI = 4 * atan(1);
- #define time clock() / (double) CLOCKS_PER_SEC
- // #pragma GCC optimize("Ofast,no-stack-protector")
- // #pragma GCC target("sse,sse2,sse3,sse3,sse4")
- // #pragma GCC optimize("unroll-loops")
- // #pragma GCC optimize("fast-math")
- // #pragma GCC target("avx2")
- mt19937 gen(chrono::high_resolution_clock::now().time_since_epoch().count());
- void fact(int x, map<int, int>& have) {
- for (int i = 2; i * i <= x; i++) {
- while (x % i == 0) {
- have[i]++;
- x /= i;
- }
- }
- if (x > 1) {
- have[x]++;
- }
- }
- signed main() {
- ios_base::sync_with_stdio(0);
- cin.tie(0);
- cout.tie(0);
- int n;
- cin >> n;
- map<int, int> have;
- fact(n, have);
- int ans = 1, mx = 0;
- for (auto[p, pw] : have) {
- ans *= p;
- chkmax(mx, pw);
- }
- for (int c = 1; c <= 30; c++) {
- map<int, int> havec;
- fact(c, havec);
- bool good = 1;
- for (auto[p, pw] : have) {
- good &= ((havec[p] + 1) * ans * c >= pw);
- }
- if (good) {
- cout << ans * c << "\n";
- return 0;
- }
- }
- }
- /*
- */
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