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(5000, np.int64) F[0] = 1 for x in [500, 100, 50, 10, 5, 1]: F[::x] = np.cumsum(F[::x]) % MOD F.flags.writeable = False comb = np.zeros((10, 10), np.int64) comb[0, 0] = 1 for n in range(1, 10): comb[n] += comb[n - 1] comb[n, 1:] += comb[n - 1, :-1] def f(N): q, r = divmod(N, 500) A = F[r: r + 500 * 7:500].copy() comb_q = [1] * 7 for i in range(1, 7): comb_q[i] = comb_q[i - 1] * (q + 1 - i) * pow(i, MOD - 2, MOD) % MOD ret = 0 for i in range(7): ret += A[i] * comb_q[i] % MOD A -= A[i] * comb[:7, i] % MOD return ret % MOD T = int(readline()) nums = map(int, read().split()) print('\n'.join(map(str, map(f, nums))))