#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int DY4[]{1, 0, -1, 0}, DX4[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}; constexpr int DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; int main() { int n, s; cin >> n >> s; vector a(n); REP(i, n) cin >> a[i]; vector fact(n + 1, 1); REP(i, n) fact[i + 1] = fact[i] * (i + 1); ll base = 1; for (int i = 0; i < n;) { int j = i + 1; while (j < n && a[j] == a[i]) ++j; base *= fact[j - i]; i = j; } ll ans = 0; vector k(n); auto f = [&](auto&& f, int i, int prv, int block, ll sum, ll ways) -> void { if (i == n) { ans += ways / fact[block]; return; } for (ll x = (i == 0 || a[i - 1] != a[i] ? a[i] : prv); sum + x <= s; x *= a[i]) { k[i] = x; if (i == 0 || a[i - 1] != a[i] || x != prv) { f(f, i + 1, x, 1, sum + x, ways / fact[block]); } else { f(f, i + 1, x, block + 1, sum + x, ways); } } }; f(f, 0, 0, 0, 0, base); cout << ans << '\n'; return 0; }