#include using namespace std; const int SIZE = (1 << 14) + 10; double dp[100][SIZE]; double P[5]; vector> nexts[SIZE]; void precalc(){ for(int init=0;init<1<<14;init++){ int mask = init << 1; int sub = mask; do { double p = 1; for(int i=1;i<=14;i++)if((mask >> i) & 1){ int type = 0; if((mask >> (i - 1)) & 1)++type; if((mask >> (i + 1)) & 1)++type; if((sub >> i) & 1){ // 生き残る p *= 1 - P[type]; } else { // 死ぬ p *= P[type]; } } nexts[init].push_back(make_pair(sub >> 1, p)); sub = (sub - 1) & mask; } while(sub != mask); } } double solve(int A, int mask){ double &res = dp[A][mask]; if(res >= -0.5)return res; res = 0; if(A >= 80){ for(int i=0;i<14;i++){ if((mask >> i) & 1)++res; } return res; } for(auto ps : nexts[mask]){ res += ps.second * solve(A + 1, ps.first); } return res; } int main(){ memset(dp, -1, sizeof(dp)); int A; cin >> A; cin >> P[0] >> P[1] >> P[2]; P[0] /= 100; P[1] /= 100; P[2] /= 100; precalc(); int init = (1 << 14) - 1; printf("%.10f\n", 2 * solve(A, init)); return 0; }