F - Platforms

#include <bits/stdc++.h>
using namespace std;

#define int long long
const int N = 1e5 + 5;
const int mod = 1e18 + 7;
const int INF = 1e18;
int dp[N];
int from[N];
int a[N];

signed main()
{
    int n , k;
    cin >> n;
    for(int i = 1; i <= n; i++){
        cin >> a[i];
    }
    dp[2] = abs(a[2] - a[1]);
    from[2] = 1;
    for(int i = 3; i <= n; i++){
        if((dp[i - 1] + abs(a[i] - a[i - 1])) <= (dp[i - 2] + 3 * abs(a[i] - a[i - 2]))){
            from[i] = i - 1;
            dp[i] = dp[i - 1] + abs(a[i] - a[i - 1]);
        }else{
            from[i] = i - 2;
            dp[i] = dp[i - 2] + 3 * abs(a[i] - a[i - 2]);
        }
    }
    cout << dp[n] << endl;
    vector<int> v;
    int x = n;
    while(x){
        v.push_back(x);
        x = from[x];
    }
    reverse(v.begin() , v.end());
    cout << v.size() << endl;
    for(int i : v)
        cout << i << " ";
    cout << endl;
}