mod = 10 ** 9 + 7

#順列
class Permutation:

    #前計算
    def __init__(self, n):
        self.n = n
        self.fact = [1] * (self.n + 1)
        self.fact_inv = [1] * (self.n + 1)

        for i in range(1, self.n + 1):
            self.fact[i] = self.fact[i - 1] * i % mod

        self.fact_inv[-1] = invmod(self.fact[-1], mod)

        for i in range(self.n, 0, -1):
            self.fact_inv[i - 1] = self.fact_inv[i] * i % mod

    def perm(self, n, r):
        if n < r:return 0
        if n < 0 or r < 0:return 0
        return self.fact[n] * self.fact_inv[n - r] % mod

#拡張ユークリッドの互除法
def extgcd(a, b, d = 0):
    g = a
    if b == 0:
        x, y = 1, 0
    else:
        x, y, g = extgcd(b, a % b)
        x, y = y, x - a // b * y
    return x, y, g

#mod pにおける逆元
def invmod(a, p):
    x, y, g = extgcd(a, p)
    x %= p
    return x

hwmax = 4 * 10 ** 5

P = Permutation(hwmax)

t = int(input())
for _ in range(t):
    h, w = map(int, input().split())
    if h == 1 or w == 1:
        print(0)
        continue
    print(2 * P.perm(h + w - 3, h - 1) % mod * P.fact_inv[h - 2] % mod)