10. Same Tree
easyAsked at GitLabCheck whether two binary trees are structurally and value-wise identical.
By Alex Chen, Founder, InterviewChamp.AI · Last verified
Problem
Given the roots of two binary trees p and q, return true if they have the same shape and the same node values at every position; false otherwise.
Constraints
0 <= nodes <= 100-10^4 <= val <= 10^4
Examples
Example 1
p=[1,2,3],q=[1,2,3]trueExample 2
p=[1,2],q=[1,null,2]falseApproaches
1. Serialize and compare
Pre-order serialize both with null markers and compare strings.
- Time
- O(n)
- Space
- O(n)
const ser = r => !r ? '#' : r.val+','+ser(r.left)+','+ser(r.right);
return ser(p)===ser(q);Tradeoff:
2. Recursive walk
Both null OK; one null fails; otherwise vals equal and recurse.
- Time
- O(n)
- Space
- O(h)
function isSameTree(p,q){
if (!p && !q) return true;
if (!p || !q) return false;
return p.val===q.val && isSameTree(p.left,q.left) && isSameTree(p.right,q.right);
}Tradeoff:
GitLab-specific tips
GitLab might pivot this to diffing two merge-request branches — be ready to discuss how you'd report the first divergence path.
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