Solution: Frog Jump
Explore how to solve the Frog Jump problem by applying dynamic programming to track reachable stones based on jump lengths. Understand how to use maps for quick stone position lookups and how dynamic states optimize the solution. This lesson helps you implement an efficient algorithm to decide if a frog can cross the river by jumping only on stones, mastering concepts of state transitions and optimization.
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Statement
A frog is trying to cross a river by jumping on stones placed at various positions along the river. The river is divided into units, and some units contain stones while others do not. The frog can only land on a stone, but it must not jump into the water.
You are given an array, stones, that represents the positions of the stones in ascending order (in units). The frog starts on the first stone, and its first jump must be exactly
If the frog’s last jump was of length