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 = int(1e9 + 7) type nr struct { n, r int } var cm map[nr]int func nCr(n, r int) int { v, ok := cm[nr{n, r}] if ok { return v } if r == 0 || r == n { return 1 } if r == 1 || r == n-1 { return n } v = nCr(n-1, r) * n % mod * modinv(n-r, mod) % mod cm[nr{n, r}] = v return v } // 逆元を使った割り算(MOD) // mod. m での a の逆元 a^{-1} を計算する func modinv(a, m int) int { b := m u := 1 v := 0 for b != 0 { t := a / b a -= t * b a, b = b, a u -= t * v u, v = v, u } u %= m if u < 0 { u += m } return u } func main() { sc.Split(bufio.ScanWords) sc.Buffer([]byte{}, 1000000) cm = make(map[nr]int) N, K := getInt(), getInt() a := getInts(N) ans := 0 for i := 1; i <= N; i++ { x := nCr(i+K-1, K) x *= nCr(N-i+K, K) x %= mod x *= a[i-1] x %= mod ans += x ans %= mod } out(ans) }