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 } func main() { sc.Split(bufio.ScanWords) Age := getInt() P0, P1, P2 := getInt(), getInt(), getInt() N := 80 - Age p0, p1, p2 := 1.0-float64(P0)/100, 1.0-float64(P1)/100, 1.0-float64(P2)/100 dp := make([][16]float64, N+1) for i := 1; i < 15; i++ { dp[0][i] = 1.0 } // out(dp[0]) for i := 1; i <= N; i++ { for j := 1; j < 15; j++ { dp[i][j] += (1 - dp[i-1][j-1]) * (1 - dp[i-1][j+1]) * p0 dp[i][j] += (1 - dp[i-1][j-1]) * dp[i-1][j+1] * p1 dp[i][j] += dp[i-1][j-1] * (1 - dp[i-1][j+1]) * p1 dp[i][j] += dp[i-1][j-1] * dp[i-1][j+1] * p2 dp[i][j] *= dp[i-1][j] } // out(dp[i]) } ans := 0.0 for i := 0; i < 16; i++ { ans += dp[N][i] } out(ans * 2) }