N = gets.to_i C, D = (1..N).map {gets.split.map(&:to_i)}.transpose M = 10**9 + 7 ans = C.zip(D).map {|c, d| x = if c == 1 2 elsif c == 2 3 else t = c - 2 z = [[1, 1], [1, 0]] y = [[1, 0], [0, 1]] while t > 0 if t % 2 == 1 y = [[(y[0][0] * z[0][0] + y[0][1] * z[1][0]) % M, (y[0][0] * z[0][1] + y[0][1] * z[1][1]) % M], [(y[1][0] * z[0][0] + y[1][1] * z[1][0]) % M, (y[1][0] * z[0][1] + y[1][1] * z[1][1]) % M]] end z = [[(z[0][0] * z[0][0] + z[0][1] * z[1][0]) % M, (z[0][0] * z[0][1] + z[0][1] * z[1][1]) % M], [(z[1][0] * z[0][0] + z[1][1] * z[1][0]) % M, (z[1][0] * z[0][1] + z[1][1] * z[1][1]) % M]] t /= 2 end (3 * y[0][0] + 2 * y[0][1]) % M end k = d b = x a = 1 while k > 0 if k % 2 == 1 a = (a * b) % M end b = b**2 % M k /= 2 end a }.inject(1) {|memo, item| (memo * item) % M} puts ans