Find the vertical sum of a binary tree?
Short answer: void VerticalSum(TreeNode root, int hd, Dictionary<int, int> map) { if (root == null) return; VerticalSum(root.left, hd - 1, map); if (map.ContainsKey(hd)) map[hd] += root.val; else map[hd] = root.val; VerticalSum(root.right, hd + 1, map); } Dictionary<int, int> GetVerticalSum(TreeNode root) { var map = new Dictionary<int, int>(); VerticalSum(root, 0, map); return map; } Explanation: Use horizontal distance (hd)…
Explain a bit more
from root; sum values of nodes at each hd. Follow on:
Example code
void VerticalSum(TreeNode root, int hd, Dictionary<int, int> map) { if (root == null) return; VerticalSum(root.left, hd - 1, map); if (map.ContainsKey(hd))
map[hd] += root.val; else map[hd] = root.val; VerticalSum(root.right, hd + 1, map); }
Dictionary<int, int> GetVerticalSum(TreeNode root) {
var map = new Dictionary<int, int>(); VerticalSum(root, 0, map); return map;
} Explanation: Use horizontal distance (hd) from root; sum values of nodes at each hd. Follow on:
Real-world example (ShopNest)
In coding rounds, state complexity aloud, write a clear ShopNest-flavored example (orders, carts), then handle edge cases (empty list, null, overflow).
Say this in the interview
- Define — one clear sentence (the short answer above).
- Example — relate it to a project like ShopNest or your real work.
- Trade-off — when you would not use it.
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