Cod sursa(job #2869589)

Utilizator meinkampfEmanuel Pinzariu meinkampf Data 11 martie 2022 17:53:22
Problema Cel mai lung subsir comun Scor 10
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.23 kb
#include <bits/stdc++.h>
using namespace std;

ifstream fin("cmlsc.in");
ofstream fout("cmlsc.out");

int n, m, dp[1026][1026];
int a[1026], b[1026], sol[1026];

void Citire()
{
    int i;
    fin >> n >> m;
    for (i = 1; i <= n; i++)
        fin >> a[i];
    for (i = 1; i <= m; i++)
        fin >> b[i];
}

/*

dp[i][j] = lungimea subsirului comun intre a si b pana la pozitia i si j respectiv

1 7 3 9 8
7 5 8

1 7 
7 7 - dp[2][1] = max( dp[1][0] + 1, dp[1][1], dp[2][0] )

*/

void Dinamica()
{
    int i, j, top;
    for (i = 1; i <= n; i++)
        for (j = 1; j <= m; j++)
        {
            if (a[i] == b[j]) dp[i][j] = max({ dp[i - 1][j - 1] + 1, dp[i - 1][j], dp[i][j - 1] });
            else              dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
        }
    fout << dp[n][m] << '\n';
    i = n; j = m;
    top = 0;
    while (i > 0 && j > 0)
    {
        if (a[i] == b[j])
        {
            sol[++top] = a[i];
            i--; j--;
        }
        if (dp[i - 1][j] > dp[i][j - 1]) i--;
        else j--;
    }
    for (i = top; i > 0; i--)
        fout << sol[i] << ' ';
}

int main()
{
    Citire();
    Dinamica();
    fin.close();
    fout.close();
    return 0;
}