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72 changes: 72 additions & 0 deletions geeks-for-geeks/dynamic-programming/WaterOverflow.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,72 @@
#include<iostream>
using namespace std;

typedef long long int lli;
float from(int i,int j,int k){
if(i==j&&i==0)
return ((float)k-1)/2.0;
//cout<<"y";
int uli=i-1,ulj=j-1;
int uri=i-1,urj=j;
float ur,ul;
if(ulj>=0)
ul=from(uli,ulj,k);
else
ul=0.0;

if(uri>=urj)
ur=from(uri,urj,k);
else
ur=0.0;

float n=ul + ur;

n=(n-1)/2.0;
if(n>=0)
return n;
else
return 0;

}
float how_much_in(int i,int j,int k){
if(i==j && i==0){
return 1;
}
int uli=i-1,ulj=j-1;
int uri=i-1,urj=j;
float ul,ur;
if(ulj>=0)
ul=from(uli,ulj,k);
else
ul=0.0;

if(uri>=urj)
ur=from(uri,urj,k);
else
ur=0.0;

float n=ul+ur;
//cout<<n<<" ";
if ( n>1)
return 1;//(n - (n-1)/2 + (n-1)/2);
else if(n>=0)
return n;
else
return 0;
}
int main() {
//code
int t;
cin>>t;
int k,i,j;
while(t-->0){
cin>>k;
cin>>i>>j;
cout<< how_much_in(i-1,j-1,k)<<'\n';




}
return 0;
}