import sys
input = lambda: sys.stdin.readline().rstrip()
ii = lambda: int(input())
mi = lambda: map(int, input().split())
li = lambda: list(mi())
INF = 2 ** 63 - 1
from collections import Counter
n, s = mi()

a = li()


dp = Counter()
dp[0] = 1
for i in range(n):
    e = Counter()
    for j in range(1, 40):
        now = a[i] ** j
        if now >= s:
            break
        for v, c in dp.items():
            e[v + now] += c
    dp = e
ans = 0
for v, c in dp.items():
    if v <= s:
        ans += c
print(ans)