--description--

Let $T(m, n)$ be the number of the binomial coefficients ${}^iC_n$ that are divisible by 10 for $n ≤ i < m$ ($i$, $m$ and $n$ are positive integers).

You are given that $T({10}^9, {10}^7 - 10) = 989\,697\,000$.

Find $T({10}^{18}, {10}^{12} - 10)$.

--hints--

binomialCoefficientsDivisibleBy10() should return 999998760323314000.

assert.strictEqual(binomialCoefficientsDivisibleBy10(), 999998760323314000);

--seed--

--seed-contents--

function binomialCoefficientsDivisibleBy10() {

  return true;
}

binomialCoefficientsDivisibleBy10();

--solutions--

// solution required