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- #include <iostream>
- #include <cmath>
- #include <stdio.h>
- #include <algorithm>
- #include <string>
- #include <vector>
- #include <queue>
- #include <stack>
- #include <map>
- #include <set>
- using namespace std;
- #define f first
- #define s second
- #define pb push_back
- #define mp make_pair
- #define ll long long
- #define pii pair < int, int >
- #define pll pair < long long, long long>
- #define ull unsigned long long
- #define vi vector <int>
- #define sz(a) (int)a.size()
- #define forit(it, s) for(__typeof(s.begin()) it = s.begin(); it != s.end(); it++)
- #define all(a) a.begin(), a.end()
- #define sqr(x) ((x) * (x))
- #define fname "lca"
- const int inf = (int)1e9;
- const ll INF = (ll)1e18;
- const double eps = 1e-9;
- const double pi = acos(-1.0);
- int n;
- bool ok[100100], prime[100100];
- void calc(){
- for(int i = 2; i <= 100100; ++i){
- ok[i] = 1;
- prime[i] = 0;
- }
- for(int i = 2; i <= 100100; ++i){
- if(ok[i]){
- prime[i] = 1;
- for(ll j = (ll)i * (ll)i; j <= 100100; j += i){
- ok[j] = 0;
- }
- }
- }
- }
- int main(){
- // freopen("input.txt", "r", stdin);
- // freopen(fname".in", "r", stdin);
- // freopen(fname".out", "w", stdout);
- scanf("%d", &n);
- calc();
- if(n < 3)
- printf("1\n");
- else
- printf("2\n");
- for(int i = 2; i <= n + 1; ++i){
- if(prime[i])
- printf("1");
- else
- printf("2");
- if(i != n + 1)
- printf(" ");
- }
- return 0;
- }
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