Problem p03196 (C++)

Buggy submission (status: Time Limit Exceeded):
#include <bits/stdc++.h>
#include <cmath>
#include <iostream>
#include <string>
#include <unordered_map>
#include <unordered_set>
using namespace std;
#define ll long long
#define rep(i, n) for (ll i = 0; i < (n); i++)
#define FOR(i, a, b) for (ll i = (a); i < (b); i++)
#define FORR(i, a, b) for (ll i = (a); i <= (b); i++)
#define repR(i, n) for (ll i = n; i >= 0; i--)
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()
#define F first
#define S second
#define pb push_back
#define pu push
#define COUT(x) cout << (x) << endl
#define PQ priority_queue<ll>
#define PQR priority_queue<ll, vector<ll>, greater<ll>>
#define YES(n) cout << ((n) ? "YES" : "NO") << endl
#define Yes(n) cout << ((n) ? "Yes" : "No") << endl
#define mp make_pair
#define maxs(x, y) (x = max(x, y))
#define mins(x, y) (x = min(x, y))
#define sz(x) (int)(x).size()
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const ll MOD = 1000000007LL;
const ll INF = 1LL << 60;
using vll = vector<ll>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vvll = vector<vll>;
using vstr = vector<string>;
using pll = pair<ll, ll>;
using vc = vector<char>;
using vvc = vector<vc>;
ll dx[4] = {0, 1, 0, -1};
ll dy[4] = {1, 0, -1, 0};
ll p;
map<ll, ll> insuu;
void prime_factor(ll p) {
  ll k = p;
  for (int i = 2; i * i <= p; i++) {
    while (k % i == 0) {
      insuu[i]++;
      k /= i;
    }
  }
  if (k != 1)
    insuu[k] = 1;
  return;
}
int main() {
  ll n;
  cin >> n >> p;
  ll ans = 1;
  prime_factor(p);
  for (auto p : insuu) {
    for (int i = 0; i < p.S / n; i++) {
      ans *= p.F;
    }
  }
  COUT(ans);
}


Fixed submission:
#include <bits/stdc++.h>
#include <cmath>
#include <iostream>
#include <string>
#include <unordered_map>
#include <unordered_set>
using namespace std;
#define ll long long
#define rep(i, n) for (ll i = 0; i < (n); i++)
#define FOR(i, a, b) for (ll i = (a); i < (b); i++)
#define FORR(i, a, b) for (ll i = (a); i <= (b); i++)
#define repR(i, n) for (ll i = n; i >= 0; i--)
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()
#define F first
#define S second
#define pb push_back
#define pu push
#define COUT(x) cout << (x) << endl
#define PQ priority_queue<ll>
#define PQR priority_queue<ll, vector<ll>, greater<ll>>
#define YES(n) cout << ((n) ? "YES" : "NO") << endl
#define Yes(n) cout << ((n) ? "Yes" : "No") << endl
#define mp make_pair
#define maxs(x, y) (x = max(x, y))
#define mins(x, y) (x = min(x, y))
#define sz(x) (int)(x).size()
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const ll MOD = 1000000007LL;
const ll INF = 1LL << 60;
using vll = vector<ll>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vvll = vector<vll>;
using vstr = vector<string>;
using pll = pair<ll, ll>;
using vc = vector<char>;
using vvc = vector<vc>;
ll dx[4] = {0, 1, 0, -1};
ll dy[4] = {1, 0, -1, 0};
ll p;
map<ll, ll> insuu;
void prime_factor(ll p) {
  ll k = p;
  for (ll i = 2; i * i <= p; i++) {
    while (k % i == 0) {
      insuu[i]++;
      k /= i;
    }
  }
  if (k != 1)
    insuu[k] = 1;
  return;
}
int main() {
  ll n;
  cin >> n >> p;
  ll ans = 1;
  prime_factor(p);
  for (auto p : insuu) {
    for (int i = 0; i < p.S / n; i++) {
      ans *= p.F;
    }
  }
  COUT(ans);
}