How to Solve Minimum Increments to Equalize Leaf Paths Problem

You are given an integer n and an undirected tree rooted at node 0 with n nodes numbered from 0 to n - 1. This is represented by a 2D array edges of length n - 1, where edges[i] = [ui, vi] indicates an edge from node ui to vi . Each node i has an associated cost given by cost[i], representing the cost to traverse that node. The score of a path is defined as the sum of the costs of all nodes along the path. Your goal is to make the scores of all root-to-leaf paths equal by increasing the cost of any number of nodes by any non-negative amount. Return the minimum number of nodes whose cost must be increased to make all root-to-leaf path scores equal.