문제
링크
풀이
#include <algorithm>
#include <iostream>
#include <vector>
using namespace std;
vector<int> precompute(int n) {
vector<bool> prime(n+1, true);
prime[0] = prime[1] = false;
for (int i=4; i<=n; i+=2) {
prime[i] = false;
}
for (int i=3; i*i<=n; i+=2) {
if (!prime[i]) continue;
for (int j=i*i; j<=n; j+=i*2) {
prime[j] = false;
}
}
vector<int> primes;
for (int i=0; i<=n; i++) {
if (prime[i]) primes.push_back(i);
}
return primes;
}
int solve(const vector<int> &p) {
int n; cin >> n;
if (binary_search(p.begin(), p.end(), n)) return 0;
auto it = lower_bound(p.begin(), p.end(), n);
return *it - *prev(it);
}
int main(void) {
ios::sync_with_stdio(false);
cin.tie(nullptr);
vector<int> p = precompute(1299709);
int t; cin >> t;
while (t--) cout << solve(p) << "\n";
return 0;
}