package main import ( "bufio" "fmt" "math/bits" "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 } type pair struct { n int p float64 } var P [3]float64 var ns [][]pair func prob(prev, next int) float64 { res := 1.0 for i := 0; i < 14; i++ { if ((prev >> i) & 1) == 0 { continue } var p float64 if i == 0 { p = P[(prev>>1)&1] } else if i == 13 { p = P[(prev>>12)&1] } else { p = P[(prev>>(i-1)&1)+(prev>>(i+1))&1] } if next>>i&1 == 1 { res *= 1 - p } else { res *= p } } return res } var dp [21][1 << 14]float64 func main() { sc.Split(bufio.ScanWords) N := 80 - getInt() p := getInts(3) for i := 0; i < 3; i++ { P[i] = float64(p[i]) / 100.0 } ns = make([][]pair, 1<<14) for i := 0; i < 1<<14; i++ { for j := 0; j < 1<<14; j++ { if i&j != j { continue } ns[i] = append(ns[i], pair{j, prob(i, j)}) } } dp[0][(1<<14)-1] = 1.0 for i := 0; i < N; i++ { for j := 0; j < 1<<14; j++ { for _, p := range ns[j] { dp[i+1][p.n] += dp[i][j] * p.p } } } res := 0.0 for i := 0; i < 1<<14; i++ { res += dp[N][i] * float64(bits.OnesCount(uint(i))) } out(res * 2) }