Problem p02574 (C++) — buggy submission, verdict: Time Limit Exceeded

#line 2 "/Users/kaage/Desktop/ProgrammingWorkspace/library/other/template.hpp"
#define _CRT_SECURE_NO_WARNINGS
#pragma target("avx2")
#pragma optimize("O3")
#pragma optimize("unroll-loops")
#include <algorithm>
#include <bitset>
#include <cassert>
#include <cfloat>
#include <climits>
#include <cmath>
#include <complex>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <memory>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string.h>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#define rep(i, n) for (int i = 0; i < (n); i++)
#define REP(i, n) for (int i = 1; i <= (n); i++)
#define all(V) V.begin(), V.end()
typedef unsigned int uint;
typedef long long lint;
typedef unsigned long long ulint;
typedef std::pair<int, int> P;
typedef std::pair<lint, lint> LP;
constexpr int INF = INT_MAX / 2;
constexpr lint LINF = LLONG_MAX / 2;
constexpr double eps = DBL_EPSILON;
constexpr double PI = 3.141592653589793238462643383279;
template <class T>
class prique : public std::priority_queue<T, std::vector<T>, std::greater<T>> {
};
template <class T, class U> inline bool chmax(T &lhs, const U &rhs) {
  if (lhs < rhs) {
    lhs = rhs;
    return 1;
  }
  return 0;
}
template <class T, class U> inline bool chmin(T &lhs, const U &rhs) {
  if (lhs > rhs) {
    lhs = rhs;
    return 1;
  }
  return 0;
}
inline lint gcd(lint a, lint b) {
  while (b) {
    lint c = a;
    a = b;
    b = c % b;
  }
  return a;
}
inline lint lcm(lint a, lint b) { return a / gcd(a, b) * b; }
bool isprime(lint n) {
  if (n == 1)
    return false;
  for (int i = 2; i * i <= n; i++) {
    if (n % i == 0)
      return false;
  }
  return true;
}
template <typename T> T mypow(T a, lint b) {
  T res(1);
  while (b) {
    if (b & 1)
      res *= a;
    a *= a;
    b >>= 1;
  }
  return res;
}
lint modpow(lint a, lint b, lint m) {
  lint res(1);
  while (b) {
    if (b & 1) {
      res *= a;
      res %= m;
    }
    a *= a;
    a %= m;
    b >>= 1;
  }
  return res;
}
template <typename T> void printArray(std::vector<T> &vec) {
  rep(i, vec.size()) {
    std::cout << vec[i];
    std::cout << (i == (int)vec.size() - 1 ? "\\n" : " ");
  }
}
template <typename T> void printArray(T l, T r) {
  T rprev = std::prev(r);
  for (T i = l; i != rprev; i++) {
    std::cout << *i << " ";
  }
  std::cout << *rprev << std::endl;
}
LP extGcd(lint a, lint b) {
  if (b == 0)
    return {1, 0};
  LP s = extGcd(b, a % b);
  std::swap(s.first, s.second);
  s.second -= a / b * s.first;
  return s;
}
LP ChineseRem(const lint &b1, const lint &m1, const lint &b2, const lint &m2) {
  lint p = extGcd(m1, m2).first;
  lint tmp = (b2 - b1) * p % m2;
  lint r = (b1 + m1 * tmp + m1 * m2) % (m1 * m2);
  return std::make_pair(r, m1 * m2);
}
template <typename F> inline constexpr decltype(auto) lambda_fix(F &&f) {
  return [f = std::forward<F>(f)](auto &&...args) {
    return f(f, std::forward<decltype(args)>(args)...);
  };
}
#line 2 "main.cpp"
int N, A[1000010];
int main() {
  scanf("%d", &N);
  rep(i, N) scanf("%d", A + i);
  int setgcd = A[0];
  REP(i, N - 1) setgcd = gcd(setgcd, A[i]);
  if (setgcd != 1) {
    puts("not coprime");
    return 0;
  }
  std::vector<bool> isprime(1000001, true);
  std::vector<int> primes;
  isprime[1] = false;
  for (int i = 2; i <= 1000000; i++) {
    if (isprime[i]) {
      primes.emplace_back(i);
      for (int j = 2 * i; j <= 1000000; j += i) {
        isprime[j] = false;
      }
    }
  }
  std::vector<bool> vec(1000001);
  rep(i, N) {
    rep(j, primes.size()) {
      if (A[i] < primes[j] * primes[j])
        break;
      bool f = false;
      while (A[i] % primes[j] == 0) {
        A[i] /= primes[j];
        f = true;
      }
      if (f) {
        if (vec[primes[j]]) {
          puts("setwise coprime");
          return 0;
        }
        vec[primes[j]] = true;
      }
    }
    if (A[i] != 1) {
      if (vec[A[i]]) {
        puts("setwise coprime");
        return 0;
      }
      vec[A[i]] = true;
    }
  }
  puts("pairwise coprime");
  return 0;
}

Error: TLE

Fixed submission:

#line 2 "/Users/kaage/Desktop/ProgrammingWorkspace/library/other/template.hpp"
#define _CRT_SECURE_NO_WARNINGS
#pragma target("avx2")
#pragma optimize("O3")
#pragma optimize("unroll-loops")
#include <algorithm>
#include <bitset>
#include <cassert>
#include <cfloat>
#include <climits>
#include <cmath>
#include <complex>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <memory>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string.h>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#define rep(i, n) for (int i = 0; i < (n); i++)
#define REP(i, n) for (int i = 1; i <= (n); i++)
#define all(V) V.begin(), V.end()
typedef unsigned int uint;
typedef long long lint;
typedef unsigned long long ulint;
typedef std::pair<int, int> P;
typedef std::pair<lint, lint> LP;
constexpr int INF = INT_MAX / 2;
constexpr lint LINF = LLONG_MAX / 2;
constexpr double eps = DBL_EPSILON;
constexpr double PI = 3.141592653589793238462643383279;
template <class T>
class prique : public std::priority_queue<T, std::vector<T>, std::greater<T>> {
};
template <class T, class U> inline bool chmax(T &lhs, const U &rhs) {
  if (lhs < rhs) {
    lhs = rhs;
    return 1;
  }
  return 0;
}
template <class T, class U> inline bool chmin(T &lhs, const U &rhs) {
  if (lhs > rhs) {
    lhs = rhs;
    return 1;
  }
  return 0;
}
inline lint gcd(lint a, lint b) {
  while (b) {
    lint c = a;
    a = b;
    b = c % b;
  }
  return a;
}
inline lint lcm(lint a, lint b) { return a / gcd(a, b) * b; }
bool isprime(lint n) {
  if (n == 1)
    return false;
  for (int i = 2; i * i <= n; i++) {
    if (n % i == 0)
      return false;
  }
  return true;
}
template <typename T> T mypow(T a, lint b) {
  T res(1);
  while (b) {
    if (b & 1)
      res *= a;
    a *= a;
    b >>= 1;
  }
  return res;
}
lint modpow(lint a, lint b, lint m) {
  lint res(1);
  while (b) {
    if (b & 1) {
      res *= a;
      res %= m;
    }
    a *= a;
    a %= m;
    b >>= 1;
  }
  return res;
}
template <typename T> void printArray(std::vector<T> &vec) {
  rep(i, vec.size()) {
    std::cout << vec[i];
    std::cout << (i == (int)vec.size() - 1 ? "\\n" : " ");
  }
}
template <typename T> void printArray(T l, T r) {
  T rprev = std::prev(r);
  for (T i = l; i != rprev; i++) {
    std::cout << *i << " ";
  }
  std::cout << *rprev << std::endl;
}
LP extGcd(lint a, lint b) {
  if (b == 0)
    return {1, 0};
  LP s = extGcd(b, a % b);
  std::swap(s.first, s.second);
  s.second -= a / b * s.first;
  return s;
}
LP ChineseRem(const lint &b1, const lint &m1, const lint &b2, const lint &m2) {
  lint p = extGcd(m1, m2).first;
  lint tmp = (b2 - b1) * p % m2;
  lint r = (b1 + m1 * tmp + m1 * m2) % (m1 * m2);
  return std::make_pair(r, m1 * m2);
}
template <typename F> inline constexpr decltype(auto) lambda_fix(F &&f) {
  return [f = std::forward<F>(f)](auto &&...args) {
    return f(f, std::forward<decltype(args)>(args)...);
  };
}
#line 2 "main.cpp"
int N, A[1000010];
int main() {
  scanf("%d", &N);
  rep(i, N) scanf("%d", A + i);
  int setgcd = A[0];
  REP(i, N - 1) setgcd = gcd(setgcd, A[i]);
  if (setgcd != 1) {
    puts("not coprime");
    return 0;
  }
  std::vector<bool> isprime(1000001, true);
  std::vector<int> primes;
  isprime[1] = false;
  for (int i = 2; i <= 1000000; i++) {
    if (isprime[i]) {
      primes.emplace_back(i);
      for (int j = 2 * i; j <= 1000000; j += i) {
        isprime[j] = false;
      }
    }
  }
  std::vector<bool> vec(primes.size());
  rep(i, N) {
    rep(j, primes.size()) {
      bool f = false;
      while (A[i] % primes[j] == 0) {
        A[i] /= primes[j];
        f = true;
      }
      if (f) {
        if (vec[j]) {
          puts("setwise coprime");
          return 0;
        }
        vec[j] = true;
      }
    }
  }
  puts("pairwise coprime");
  return 0;
}