CF 1366D. Two Divisors(线性筛)

CF 1366D. Two Divisors(线性筛)

#include <cstdio>
#include <cstring>
#include <cmath>
#include <ctime>
#include <cassert>

#include <algorithm>
#include <random>
#include <chrono>
#include <iostream>
#include <functional>
#include <bitset>
#include <vector>
#include <string>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <unordered_map>

#define PII pair<int, int>
#define vec vector
#define str string
#define fi first
#define se second
#define pb push_back
#define all(a) a.begin(), a.end()
using namespace std;

typedef long long ll;
typedef unsigned long long ull;

const int mod = 1e9 + 7;
const int N = 1e7 + 10;
const int inf = 0x3f3f3f3f;
const ll  INF = 1e18;
const double eps = 1e-8;

int T;

int lpf[N], pr[N], cnt;
PII ans[(int) 5e5 + 10];

int main() {
  ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
  for (int i = 2; i < N; i++) {
    if (!lpf[i]) pr[++cnt] = i, lpf[i] = i;
    for (int j = 1; j <= cnt && 1LL * i * pr[j] < (ll) N; j++) {
      lpf[pr[j] * i] = pr[j];
      if (i % pr[j] == 0) break;
    }
  }
  int n; cin >> n;
  for (int i = 1; i <= n; i++) {
    int x, t, tt = 1; cin >> x, t = x;
    while (t != 1) {
      int d = lpf[t]; tt *= d;
      while (t % d == 0) t /= d;
    }
    if (tt != lpf[x]) {
      ans[i] = {lpf[x], tt / lpf[x]};
    } else ans[i] = {-1, -1};
  }
  for (int i = 1; i <= n; i++) cout << ans[i].fi << ' ';
  cout << '\n';
  for (int i = 1; i <= n; i++) cout << ans[i].se << ' ';
  cout << '\n';
  return 0;
}
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