# Problem 498: Remainder of polynomial division
For positive integers n and m, we define two polynomials Fn(x) = xn and
Gm(x) = (x-1)m. We also define a polynomial Rn,m(x) as the remainder of
the division of Fn(x) by Gm(x). For example, R6,3(x) = 15x2 - 24x + 10.
Let C(n, m, d) be the absolute value of the coefficient of the d-th
degree term of Rn,m(x). We can verify that C(6, 3, 1) = 24 and C(100,
10, 4) = 227197811615775. Find C(1013, 1012, 104) mod 999999937.