#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using i64 = int64_t; using i32 = int32_t; template void init_n(vector& v, size_t n, U x) { v = vector(n, x); } template void init_n(vector& v, size_t n) { init_n(v, n, T()); } template void read_n(vector& v, size_t n, size_t o = 0) { v = vector(n+o); for (size_t i=o; i> v[i]; } template void read_n(T a[], size_t n, size_t o = 0) { for (size_t i=o; i> a[i]; } template T gabs(const T& x) { return max(x, -x); } #define abs gabs const i64 mod = 1e9 + 7; i64 fact_memo[1000001]; i64 fact(i64 x) { if (x == 0) return 1; if (fact_memo[x]) return fact_memo[x]; return fact_memo[x] = x * fact(x - 1) % mod; } i64 ipow(i64 a, i64 b) { return (b & 1 ? a : 1) * (b > 1 ? ipow(a * a % mod, b >> 1) : 1) % mod; } i64 fact_inv(i64 x) { return ipow(fact(x), mod - 2); } i64 perm(i64 a, i64 b) { return fact(a) * fact_inv(a - b) % mod; } i64 conb(i64 a, i64 b) { return fact(a) * fact_inv(b) % mod * fact_inv(a - b) % mod; } i64 n, m; int main() { cin >> n >> m; if (n == 1) { cout << 1 << '\n'; return 0; } i64 ans = conb(m, m / 2); for (i64 i = 2 * n - 1; i <= m; i += 2 * n) { i64 j = i + 1, k = i + 2; if (i <= m && i % 2 == m % 2) ans += conb(m, (m - i) / 2); if (j <= m && j % 2 == m % 2) ans += 2 * conb(m, (m - j) / 2); if (k <= m && k % 2 == m % 2) ans += conb(m, (m - k) / 2); } cout << ans << '\n'; return 0; }