"""Lの上位20bit, 下位20bitで分けて半分全列挙"""
U = 1 << 20

N, L = map(int, input().split())
W = list(map(int, input().split()))

dp = [0] * U
dp[0] = 1
for w in W:
    for i in range(w, U):
        dp[i] |= dp[i-w]

dp_sum = [0] * (U + 1)
for i in range(1, U+1):
    dp_sum[i] = dp_sum[i-1] + dp[i-1]

ans = 0
for i in range(U):
    if dp[i]:
        target = L - (i << 20)
        target = min(target, U)
        if target < 0:
            break
        ans += dp_sum[target]

print(ans)