Cod sursa(job #3261342)

Utilizator TLuca2021Teodorescu Luca Nicolae TLuca2021 Data 5 decembrie 2024 16:01:00
Problema Subsir crescator maximal Scor 70
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.08 kb
#include<bits/stdc++.h>
using namespace std;
ifstream fin("scmax.in");
ofstream fout("scmax.out");
vector<int> sub;
vector<int> adj(100001);
vector<int> dp(100001);
vector<int> a(100001);
void DFS(int x){
    if(adj[x] == 0){
        sub.push_back(a[x]);
        return;
    }
    sub.push_back(a[x]);
    DFS(adj[x]);
}
int main(){
    int n;
    fin >> n;
    for(int i = 1; i <= n; i++){
        fin >> a[i];
    }
    //notam dp[i] lungimea sirului crescator maximal pe poz i
    dp[1] = 1;
    for(int i = 2; i <= n; i++){
        int maxi = 0;
        adj[i] = 0;
        for(int j = i - 1; j >= 1; j--){
            if(a[j] < a[i] && dp[j] > maxi){
                maxi = dp[j];
                adj[i] = j;
            }
        }
        dp[i] = maxi + 1;
    }
    int ans = 0;
    int poz;
    for(int i = 1; i <= n; i++){
        if(dp[i] > ans){
            ans = dp[i];
            poz = i;
        }
    }
    fout << ans << '\n';
    DFS(poz);
    for(int i = sub.size() - 1; i >= 0; i--){
        fout << sub[i] << " ";
    }
    return 0;
}