why memoized solution fails in this problem: Source //below is the given code

//can you help me spot some patterns to optimise it!!!

lli solve(lli x,lli y,lli e,lli w) { if(dp[x][y]!=100000) {

return dp[x][y];
}
if((x*x+y*y)==e*e)
{
 return 0;   
}
for(int i=1;i<=N;i++)
{
    if(((x+coins[i].a)*(x+coins[i].a)+(y+coins[i].b)*(y+coins[i].b))<=e*e)
    {
        dp[x][y]=min(dp[x][y],(solve(x+coins[i].a,y+coins[i].b,e,i)+1));
    }
}
return dp[x][y];

}

int main() {

cin>>n;

for(int i=1;i<=n;i++) {

f=0;

for(int j=0;j<1001;j++) { for(int k=0;k<1001;k++) dp[j][k]=100000; }

for(int i=0;i<100000;i++) dp1[i]=100000; cin>>N>>e;

for(int j=1;j<=N;j++) { cin>>x>>y; coins[j].a=x; coins[j].b=y; } lli d=solve(0,0,e,0); if(d==100000) cout<<"not possible"<<endl; else cout<<d<<endl; } }