import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines import numpy as np MOD = 10 ** 9 + 9 F = np.zeros(3000, np.int64) F[0] = 1 for x in [500, 100, 50, 10, 5, 1]: F[::x] = np.cumsum(F[::x]) % MOD F = F.reshape(6, 500).T comb = np.zeros((6, 6), np.int64) comb[0, 0] = 1 for n in range(1, 6): comb[n] += comb[n - 1] comb[n, 1:] += comb[n - 1, :-1] for i in range(6): F[:, i + 1:] -= F[:, i][:, None] * comb[i + 1:, i] F %= MOD T = int(readline()) nums = np.array(read().split(), np.int64) x, r = np.divmod(nums, 500) x %= MOD comb_x = np.empty((T, 6), np.int64) comb_x[:, 0] = 1 for i in range(1, 6): comb_x[:, i] = comb_x[:, i - 1] * (x + 1 - i) % MOD * pow(i, MOD - 2, MOD) % MOD answer = (F[r] * comb_x).sum(axis=1) % MOD print('\n'.join(answer.astype(str)))