문제
풀이
#include <iostream>
#include <vector>
using namespace std;
void solve(void) {
int n; cin >> n;
int cnt = 1;
vector<int> v(n+1, 0); v[1] = 1;
for (int i=2; i<=n; i++) {
if (v[i]) continue;
v[i] = ++cnt;
for (int j=i*2; j<=n; j+=i) v[j] = cnt;
}
cout << cnt << "\n";
for (int i=1; i<=n; i++) {
cout << v[i] << " ";
}
}
int main(void) {
ios::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}