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#include <iostream>
#include <vector>
using namespace std;

int main() {
    // Citim valorile banilor si suma de platit
    int n, w;
    cin >> n >> w;
    vector<int> denominatiune(n+1);
    for (int i = 1; i <= n; i++) {
        cin >> denominatiune[i];
    }
    
    // Initializam matricea dp cu valorile initiale
    vector<vector<int>> dp(n+1, vector<int>(w+1));
    for (int i = 1; i <= n; i++) {
        dp[i][0] = 1;
    }
    
    // Calculam valorile dp
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= w; j++) {
            if (j >= denominatiune[i]) {
                dp[i][j] = dp[i][j-denominatiune[i]] + dp[i-1][j];
            } else {
                dp[i][j] = dp[i-1][j];
            }
        }
    }
    
    // Afisam numarul de moduri in care se poate plati suma w
    cout << dp[n][w] << endl;
    return 0;
}
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