import java.util.*;

class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);

        int n = sc.nextInt();
        int w = sc.nextInt();
        int[] a = new int[n];
        for (int i = 0; i < n; i++) {
            a[i] = sc.nextInt();
        }

        int[][][] dp = new int[n + 1][w + 1][2];

        dp[0][0][0] = 1;

        for (int i = 0; i < n; i++) {
            for (int j = 0; j <= w; j++) {
                dp[i + 1][j][0] += dp[i][j][0];
                dp[i + 1][j][1] += dp[i][j][1];
                if (j >= a[i]){
                    dp[i + 1][j][0] += dp[i][j - a[i]][0];
                    dp[i + 1][j][1] += dp[i][j - a[i]][1];
                }
                if (j >= a[i] / 2){
                    dp[i + 1][j][1] += dp[i][j - a[i] / 2][0];
                }
            }
        }

        System.out.println(dp[n][w][0]+dp[n][w][1]);
    }

}