#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; ll x; cin >> n >> x; n++; VL a(n); a[0] = x; rep(i, n) if (i) cin >> a[i]; VI nxt(n + 1, -1); rrep(i, n) nxt[i] = a[i] != 1 ? i : nxt[i + 1]; vector dp(n + 2); dp[0] = 1; dp[1] = -1; rep(i, n) { ll v = a[i]; int r = i + 1; while (true) { r = nxt[r]; if (r == -1) { r = n; break; } if (v % a[r]) break; v /= a[r++]; } dp[i+1] += dp[i] + dp[i]; dp[r+1] -= dp[i]; } cout << dp[n].val() << '\n'; }