Unique Binary Search Trees
Catalan number.
但是注意Catalan number n==0时, h(n) = 1;
而题目中n==0时,cnt =0
int numTrees(int n) {
// Note: The Solution object is instantiated only once and is reused by each test case.
//Catanlan number
//h(n)=h(n-1)*(4*n-2)/(n+1) = C(2n,n)/(n+1) = c(2n,n)-c(2n,n+1)(n=0,1,2,...)
if(n<=0)
return 0;
int cnt = 1;
for(int i=1;i<=n;i++)
cnt = cnt*(4*i-2)/(i+1);
return cnt;
}
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