// Enjoy your stay. #include #define long long long #define LOOPVAR_TYPE long #define all(x) (x).begin(), (x).end() #define sz(x) ((LOOPVAR_TYPE)(x).size()) #define foreach(it, X) for(__typeof((X).begin()) it = (X).begin(); it != (X).end(); it++) #define GET_MACRO(_1, _2, _3, NAME, ...) NAME #define _rep(i, n) _rep2(i, 0, n) #define _rep2(i, a, b) for(LOOPVAR_TYPE i = (LOOPVAR_TYPE)(a); i < (LOOPVAR_TYPE)(b); i++) #define rep(...) GET_MACRO(__VA_ARGS__, _rep2, _rep)(__VA_ARGS__) #define fir first #define sec second #define mp make_pair #define mt make_tuple #define pb push_back const double EPS = 1e-9; const double PI = acos(-1.0); const long INF = 1070000000LL; const long MOD = 1000000007LL; using namespace std; typedef istringstream iss; typedef stringstream sst; typedef pair pi; typedef vector vi; int n; double p0,p1,p2; double dp[22][16]; double f(int cur, int len){ double& res=dp[cur][len]; if(res > -1) return res; if(cur == n) return res = len; if(len == 0) return res = 0; res = 0; if(len == 1){ res = p0 * 0 + (1-p0) * f(cur+1,len); } else rep(mask,1<>i&1){ // survive if(i == 0 || i == len-1){ prob *= 1-p1; }else prob *= 1-p2; combo++; }else{ // die if(i == 0 || i == len-1){ prob *= p1; }else if(i != len) prob *= p2; if(combo > 0){ sum += f(cur+1,combo); } combo = 0; } } res += sum * prob; } return res; } int main(){ cin.tie(0); ios_base::sync_with_stdio(0); cin>>n>>p0>>p1>>p2; n = 80 - n; p0 /= 100; p1 /= 100; p2 /= 100; rep(i,n+1)rep(j,15)dp[i][j] = -2; cout<