Cod sursa(job #3159584)

Utilizator BogdancxTrifan Bogdan Bogdancx Data 21 octombrie 2023 17:19:09
Problema Cel mai lung subsir comun Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.16 kb
#include <iostream>
#include <fstream>
#include <vector>

using namespace std;

const string FILE_NAME = "cmlsc";
const string input = FILE_NAME + ".in";
const string output = FILE_NAME + ".out";

ifstream fin(input);
ofstream fout(output);

vector<int> LongestCommonSubsequence(vector<int>X, vector<int>Y, int m, int n)
{
	vector<vector<int>>Dp(m + 1, vector<int>(n + 1, 0));
	vector<int>CMLSC;

	for (int i = 1; i <= m; i++) {
		for (int j = 1; j <= n; j++) {
			if (X[i] == Y[j]) {
				Dp[i][j] = Dp[i - 1][j - 1] + 1;
			}
			else {
				Dp[i][j] = max(Dp[i - 1][j], Dp[i][j - 1]);
			}
		}
	}

	int i = m, j = n;

	while (i && j) {
		if (X[i] == Y[j]) {
			CMLSC.push_back(X[i]);
			i--;
			j--;
		}
		else if (Dp[i - 1][j] <= Dp[i][j - 1])
			j--;
		else
			i--;
	}

	return CMLSC;
}

int main()
{
	int m, n;

	fin >> m >> n;

	vector<int>X(m + 1), Y(n + 1), CMLSC;

	for (int i = 1; i <= m; i++)
		fin >> X[i];
	for (int i = 1; i <= n; i++)
		fin >> Y[i];

	CMLSC = LongestCommonSubsequence(X, Y, m, n);

	fout << CMLSC.size() << '\n';
	for (int i=CMLSC.size()-1;i>=0;i--)
		fout << CMLSC[i] << ' ';

	return 0;
}