# bynary indexed tree
class BIT:
    def __init__(self, n):
        self.n = n
        self.N = 1 << n.bit_length()
        self.data = [0] * (self.N +1)

    def add(self, i, x):
        while i <= self.N:
            self.data[i] += x
            i += i & -i

    def sum(self, i):
        total = 0
        while i > 0:
            total += self.data[i]
            i -= i&-i
        return total

    def search(self, w):
        if w <= 0:
            return 0
        x = 0
        k = self.N >> 1
        while k > 0:
            if x+k <= self.N and self.data[x+k] < w:
                w -= self.data[x+k]
                x += k
            k = k >> 1
        return x+1

    def len(self):
        return self.data[self.N]

# fast nCr
def frac(n, r):
    if r < 0 or r > n:
        return 0
    r = min(r, n - r)
    return g1[n] * g2[r] * g2[n - r] % mod


mod = 10 ** 9 + 7
N = 10 ** 6
g1 = [1, 1]
g2 = [1, 1]
inverse = [0, 1]

for i in range(2, N + 1):
    g1.append((g1[-1] * i) % mod)
    inverse.append((-inverse[mod % i] * (mod // i)) % mod)
    g2.append((g2[-1] * inverse[-1]) % mod)