2025-09-12 14:50:25 -03:00

140 lines
2.8 KiB
C++

/* Problem URL: https://codeforces.com/contest/2065/problem/G */
#include <bits/stdc++.h>
using namespace std;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (size_t i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (size_t i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
V<bool> isprime(2e5 + 1, true);
isprime[1] = false;
vi divs(2e5 + 1);
divs[1] = 1;
for (int i = 2; i <= (int)2e5; i++) {
if (!isprime[i]) {
continue;
}
divs[i] = i;
for (int j = i * 2; j <= (int)2e5; j += i) {
isprime[j] = false;
divs[j] = i;
}
}
int t;
cin >> t;
while (t--) {
int n;
cin >> n;
vi nums;
ll primes = 0;
ll ans = 0;
vl count(n + 1);
rep(i, n) {
int num;
cin >> num;
if (isprime[num]) {
ans += primes;
primes++;
ans -= count[num];
count[num]++;
continue;
}
int a = divs[num];
int b = num / a;
if (!isprime[b]) {
continue;
}
nums.push_back(num);
}
for (auto i : nums) {
int a = divs[i];
int b = i / a;
count[i]++;
ans += count[a] + count[b] + count[i];
if (a == b) {
ans -= count[a];
}
}
cout << ans << '\n';
}
}