Dijkstra's algorithm computes the shortest paths from a source node to all other nodes in a weighted graph with non‑negative edge weights. The procedure begins identical to SPFA: initialize all distances to infinity, set the source distance to zero, and mark the source as visited. Then, relax all ed...
Given n piles of fruits with different weights, merge them into a single pile by repeatedly combining two piles at a time. Each merge operation consumes energy equal to the sum of the two piles' weights. The goal is to determine the merge sequence that minimizes total energy consumption. For example...
Finding the shortest path in a transportation network where multiple travel modes exist rqeuires careful consideration of all possible transitions. In this problem, a traveler can either walk between adjacent stations or take buses that jump to specific positions. The walking costs are defined as: M...
Problem Description In a orchard, all fruits have been harvested and sorted into piles by type. The goal is to merge all piles into a single pile. Each merge operation combines two piles, with energy consumption equal to the sum of their weights. After n-1 merges, only one pile remains. The total en...