// Merry Christmas! (1発で通ってくれ) #include <bits/stdc++.h> #define int long long using namespace std; typedef long long ll; typedef vector<int> vi; typedef vector<ll> vl; typedef pair<int,int> pii; typedef pair<ll,ll> pll; typedef int _loop_int; #define REP(i,n) for(_loop_int i=0;i<(_loop_int)(n);++i) #define FOR(i,a,b) for(_loop_int i=(_loop_int)(a);i<(_loop_int)(b);++i) #define FORR(i,a,b) for(_loop_int i=(_loop_int)(b)-1;i>=(_loop_int)(a);--i) #define DEBUG(x) cout<<#x<<": "<<x<<endl #define DEBUG_VEC(v) cout<<#v<<":";REP(i,v.size())cout<<" "<<v[i];cout<<endl #define ALL(a) (a).begin(),(a).end() #define CHMIN(a,b) a=min((a),(b)) #define CHMAX(a,b) a=max((a),(b)) // mod const ll MOD = 1000000007ll; #define FIX(a) ((a)%MOD+MOD)%MOD // floating typedef double Real; const Real EPS = 1e-11; #define EQ0(x) (abs(x)<EPS) #define EQ(a,b) (abs(a-b)<EPS) typedef complex<Real> P; int n,s,id; int a[83025]; signed main(){ scanf("%d%d%d",&n,&s,&id); REP(i,n)scanf("%d",a+i); int writerscore = s*100 + a[id]; a[id] = 1e9; sort(a,a+n); double ans = 1.0; int ok_line = 0; REP(i,n-1){ int score = (450*s + 50*s*(i+1)) / (5+i); while(ok_line<n-1){ if(score + a[ok_line] <= writerscore)ok_line++; else break; } int choice = ok_line - i; int all = n-1-i; if(choice <= 0){ ans = 0.0; break; }else{ ans *= (double)choice / all; } } printf("%.12f\n",ans); return 0; }