# require "math/Mint" macro static_modint(name, mod) struct {{name}} MOD = Int64.new({{mod}}) def self.zero new end def self.raw(value : Int64) result = new result.value = value result end @value : Int64 def initialize @value = 0i64 end def initialize(value) @value = value.to_i64 % MOD end def initialize(m : self) @value = m.value end protected def value=(value : Int64) @value = value end getter value : Int64 def + : self self end def - : self self.class.raw(value != 0 ? MOD &- value : 0i64) end def +(v) self + v.to_m end def +(m : self) x = value &+ m.value x &-= MOD if x >= MOD self.class.raw(x) end def -(v) self - v.to_m end def -(m : self) x = value &- m.value x &+= MOD if x < 0 self.class.raw(x) end def *(v) self * v.to_m end def *(m : self) self.class.new(value &* m.value) end def /(v) self / v.to_m end def /(m : self) raise DivisionByZeroError.new if m.value == 0 a, b, u, v = m.to_i64, MOD, 1i64, 0i64 while b != 0 t = a // b a &-= t &* b a, b = b, a u &-= t &* v u, v = v, u end self.class.new(value &* u) end def //(v) self / v end def **(exponent : Int) t, res = self, self.class.raw(1i64) while exponent > 0 res *= t if exponent & 1 == 1 t *= t exponent >>= 1 end res end def ==(v) value == v end def ==(m : self) value == m.value end def succ self.class.raw(value != MOD &- 1 ? value &+ 1 : 0i64) end def pred self.class.raw(value != 0 ? value &- 1 : MOD &- 1) end def abs self end def to_i64 : Int64 value end delegate to_s, to: @value delegate inspect, to: @value end struct Int def to_m : {{name}} {{name}}.new(self) end end class String def to_m : {{name}} {{name}}.new(self) end end end # require "math/Combination" class Combination(T) def initialize(@Max = 400009) @factorial = Array(T).new(@Max, T.zero) @finv = Array(T).new(@Max, T.zero) @inv = Array(T).new(@Max, T.zero) @factorial[0] = @factorial[1] = T.new(1) @finv[0] = @finv[1] = T.new(1) @inv[1] = T.new(1) (2...@Max).each do |i| @factorial[i] = @factorial[i - 1] * i @inv[i] = -@inv[T::MOD % i] * (T::MOD // i) @finv[i] = @finv[i - 1] * @inv[i] end end def permutation(n, r) (n < r || n < 0 || r < 0) ? T.zero : @factorial[n] * @finv[n - r] end def combination(n, r) (n < r || n < 0 || r < 0) ? T.zero : @factorial[n] * @finv[r] * @finv[n - r] end def homogeneous_product(n, r) (n < 0 || r < 0) ? T.zero : r == T.zero ? T.new(1) : combination(n + r - 1, r) end def factorial(n) @factorial[n] end end static_modint(Mint, 10**9 + 7) c = Combination(Mint).new read_line.to_i.times do w, h = read_line.split.map(&.to_i) puts c.combination(h + w - 4, h - 2) * (h + w - 3) * 2 end