Minimum Jumps to Reach End | LeetCode 3629

In this video, we solve LeetCode 3629: Minimum Jumps to Reach End via Prime Teleportation, a very interesting problem that combines BFS traversal, prime numbers, graph thinking, and shortest path intuition.

At first, it looks like a normal jump game problem — but the prime teleportation rule completely changes the way we think about movement.

💡 Core Idea:

From any index i, we can:

✔ Move to adjacent indices
i + 1 or i - 1

✔ Perform PRIME TELEPORTATION
If nums[i] is prime, jump instantly to any index j where nums[j] is divisible by that prime.

Goal:
Reach the last index using the minimum number of jumps.

🚀 What’s covered in this video:

✅ Problem statement with examples
✅ Understanding prime teleportation
✅ Why BFS works perfectly here
✅ Graph intuition behind the problem
✅ Optimized traversal approach
✅ Step-by-step dry run
✅ Clean and efficient code walkthrough

🧠 Key Insight:

This is actually a shortest path problem on an implicit graph.

👉 Adjacent moves form normal graph edges
👉 Prime teleportation creates extra powerful edges

Once you visualize the graph properly, BFS becomes very natural.

🎯 Why this problem is important:

• Builds BFS and graph intuition
• Improves shortest path problem-solving
• Strengthens prime number concepts
• Great medium-level interview practice

🔥 What you’ll learn:

• BFS traversal
• Prime number optimization
• Graph modeling techniques
• Efficient shortest path thinking
• Writing optimized interview-ready code

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#Leetcode #DSA #BFS #Graphs #PrimeNumbers #CodingInterview #Algorithms #ProblemSolving #JumpGame #SoftwareEngineering

Видео Minimum Jumps to Reach End | LeetCode 3629 канала Streak To Scale