package main import ( "bufio" "fmt" "os" "sort" "strconv" ) func out(x ...interface{}) { fmt.Println(x...) } var sc = bufio.NewScanner(os.Stdin) func getInt() int { sc.Scan() i, e := strconv.Atoi(sc.Text()) if e != nil { panic(e) } return i } func getInts(N int) []int { ret := make([]int, N) for i := 0; i < N; i++ { ret[i] = getInt() } return ret } func getString() string { sc.Scan() return sc.Text() } // min, max, asub, absなど基本関数 func max(a, b int) int { if a > b { return a } return b } func min(a, b int) int { if a < b { return a } return b } func asub(a, b int) int { if a > b { return a - b } return b - a } func abs(a int) int { if a >= 0 { return a } return -a } func lowerBound(a []int, x int) int { idx := sort.Search(len(a), func(i int) bool { return a[i] >= x }) return idx } func upperBound(a []int, x int) int { idx := sort.Search(len(a), func(i int) bool { return a[i] > x }) return idx } const mod = 1e9 + 9 const maxn = 3100 var c = []int{1, 5, 10, 50, 100, 500} func mpow(x, p int) int { if p == 0 { return 1 } if p == 1 { return x } if p%2 == 1 { return (mpow(x, p-1) * x) % mod } ret := mpow(x, p/2) return ret * ret % mod } func modi(a, m int) int { return mpow(a, m-2) } var dp [maxn]int func solve(M int) { if M < maxn { out(dp[M]) return } ans := 0 q := M % 500 m := (M / 500) % mod for i := 0; i < 6; i++ { tmp := 1 for j := 0; j < 6; j++ { if i == j { continue } tmp *= m - j tmp %= mod tmp *= modi(i-j, mod) % mod tmp %= mod } tmp *= dp[i*500+q] tmp %= mod ans += tmp ans %= mod } ans += mod ans %= mod out(ans) } func main() { sc.Split(bufio.ScanWords) for i := 0; i < maxn; i++ { dp[i] = 1 } for i := 1; i < 6; i++ { for j := c[i]; j < maxn; j++ { dp[j] += dp[j-c[i]] dp[j] %= mod } } out(dp[:20]) T := getInt() for i := 0; i < T; i++ { M := getInt() solve(M) } }