#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) #if defined(_MSC_VER) || __cplusplus > 199711L #define aut(r,v) auto r = (v) #else #define aut(r,v) __typeof(v) r = (v) #endif #define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it) #define all(o) (o).begin(), (o).end() #define pb(x) push_back(x) #define mp(x,y) make_pair((x),(y)) #define mset(m,v) memset(m,v,sizeof(m)) #define INF 0x3f3f3f3f #define INFL 0x3f3f3f3f3f3f3f3fLL using namespace std; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template inline void amin(T &x, U y) { if(y < x) x = y; } template inline void amax(T &x, U y) { if(x < y) x = y; } int N; double p0, p1, p2; const int X = 14; double memo[21][X+1]; double rec(int i, int j) { double &r = memo[i][j]; if(r == r) return r; if(i == N) return r = j; r = 0; rep(k, 1 << j) { double p = 1; rep(l, j) { bool a = l+1 < j, b = 0 <= l-1; bool c = k >> l & 1; if(!a && !b) p *= c ? 1 - p0 : p0; else if(!a || !b) p *= c ? 1 - p1 : p1; else p *= c ? 1 - p2 : p2; } if(p == 0) continue; double sum = 0; { bool c = false; int len = 0; rep(l, j+1) { bool b = k >> l & 1; if(c && !b) sum += rec(i+1, len); if(b) ++ len; else len = 0; c = b; } } r += p * sum; } return r; } int main() { int A, P0, P1, P2; cin >> A >> P0 >> P1 >> P2; N = 80 - A; p0 = P0 / 100., p1 = P1 / 100., p2 = P2 / 100.; mset(memo, -1); double ans = rec(0, X) * 2; printf("%.10f\n", ans); return 0; }