//IF YOU GIVE UP,THEN YOU DON'T DESERVE IT #include<bits/stdc++.h> #define ll long long #define pii pair<int,int> #define pll pair<long long,long long> #define pb push_back #define endl "\n" #define IOS ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0); #define PI 3.14159265358979323846264 #define isz(x) (int)x.size() using namespace std; #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; #define typ int #define ordered_set tree<typ, null_type, less<typ>, rb_tree_tag, tree_order_statistics_node_update> //*s.find_by_order(x) --> value at position x(0-indexed) //s.order_of_key(x) --> number of elements less than x #define eps 1e-9 #define maxn 100005 double lfact[maxn]; ll w,h,l,u,r,d; // find probability to reach sqaure (m,n) from (1,1) double find_prob(ll m, ll n) { ll u = m+n-2; double res = lfact[u] - lfact[n-1] - lfact[u-n+1]-(u*log(2)); return exp(res); } double solve(ll w,ll h,ll l,ll u,ll r,ll d) { // deal squares below y = x line int cr = d; int cc = l; cr++;cc--; double ans = 0.0; while(cc>0 and cr<=h) { ans+=find_prob(cr,cc); cc--;cr++; } // deal squares above y = x line cr = u; cc = r; cc++;cr--; while(cc<=w and cr>0) { ans+=find_prob(cr,cc); cr--;cc++; } return ans; } main() { int t; cin>>t; int tt = t; lfact[0] = 0.0; for(int i=1;i<=100000;i++) lfact[i] = lfact[i-1] + log(i); while(t--) { cin>>w>>h>>l>>u>>r>>d; double ans = solve(w,h,l,u,r,d); cout<<"Case #"<<tt-t<<": "<<setprecision(9)<<ans<<endl; } }
Standard input is empty
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