Iterate through all calculated subtree sums and track the smallest Python Code (Iterative Approach)
Let:
import sys from collections import deque
Minimum difference = (cut edge 1-2). However, the problem’s example might differ; here, 0 is reachable. cut the tree hackerrank solution python
Let's translate this logic into Python code.
: For every node (except the root), consider the edge connecting it to its parent. Calculate the difference and keep track of the minimum. Python Solution
If we cut an edge, the tree splits into two parts. Let's say the smaller part represents a subtree rooted at node $V$. Let $SubtreeSum(V)$ be the sum of the nodes in that subtree. Iterate through all calculated subtree sums and track
return min_diff
:
To solve the "Cut the Tree" problem on HackerRank in Python, the primary goal is to find an edge to remove such that the absolute difference between the total weight of the two resulting trees is minimised. Logic and Approach The total weight of the entire tree is : For every node (except the root), consider
The "Cut the Tree" problem elegantly demonstrates how a seemingly exponential search space collapses into a linear-time solution using tree DP. The key is to:
# Find minimum difference min_diff = float('inf') for i in range(2, n + 1): # Start from 2 because cutting edge from root would give diff = total_sum diff = abs(total_sum - 2 * subtree_sum[i]) if diff < min_diff: min_diff = diff