Given n nodes. Find the number of different structural
binary trees that can be formed using the nodes.
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Answer Posted / sayandip ghosh
The max number of binary trees that can be formed from n
nodes is given by the Catlan Number C(n).
C(n) = (2n)! / (n+1)!*n! for n>=0.
int findNoTree(int low ,int high)
{
int sum=0;
if(low<=high)
{
for(int k=low;k<=high;k++)
{
if(k==low)
sum+=findNoTree(low+1,high);
else
{
if(k==high)
sum+=findNoTree(low,high-1);
else
sum=sum+findNoTree(low,k-1)*findNoTree(k+1,high);
}
}
return sum;
}
return 1;
}
| Is This Answer Correct ? | 2 Yes | 1 No |
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