Cod sursa(job #3362115)

Utilizator Alexutu008Ionita Alexandru-Dumitru Alexutu008 Data 2 august 2026 21:34:13
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.37 kb
#include <bits/stdc++.h>

using namespace std;
#define int long long

const int N = 1e5+1;

int n, a[N];
int dp[N], parent[N], best[N], bestidx[N], k;
int mx=1, start=1;
// dp[i] -> lung max subsir ce se termina in i
// best[i] -> ultimul element in sir; st este lungimea
// parent[i] -> de unde vin

int cb(int el){ // best[m]<el  el<=best[m+1] 
    int l=1, r=k, m=l+r>>1, poz=k+1;
    while(l<=r){
        m=l+r>>1;

        if(best[m] >= el){
            poz = m;
            r = m-1;
        }
        else{
            l = m+1;
        }
    }

    return poz;
}

void get_best(int start){
    if(parent[start]){
        get_best(parent[start]);
    }
    cout<<a[start]<<' ';
}

signed main()
{
    freopen("scmax.in", "r", stdin);
    freopen("scmax.out", "w", stdout);
    ios::sync_with_stdio(false);
    cin.tie(0);

    cin>>n;
    for(int i=1; i<=n; ++i){
        cin>>a[i];
    }

    dp[1] = bestidx[1] = 1;
    best[1] = a[1];
    parent[1] = 0;
    k = 0;

    for(int i=1; i<=n;++i){
        int poz = cb(a[i]);

        best[poz] = a[i];
        dp[i] = poz;
        bestidx[poz] = i;
        parent[i] = (poz == 1 ? 0 :bestidx[poz-1]);
        if(poz == k+1) ++k;
        if(mx<dp[i]){
            mx = dp[i];
            start = i;
        }
    }

    cout<<mx<<'\n';
    get_best(start);

    return 0;
}