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3651. Minimum Cost Path with Teleportations | LeetCode 28 Jan 2026 Dijkstra + DP #shorts #java #cpp

📌 LeetCode 3651 | Minimum Cost Path with Teleportations | LeetCode 28 Jan 2026

In this video, we solve LeetCode 3651, a challenging grid shortest path problem with limited teleportation moves using advanced techniques like Dijkstra’s Algorithm + State DP.

We model each state as (i, j, usedTeleports) to efficiently compute the minimum cost path.

✔️ Problem Summary

Grid path from (0,0) to (m-1,n-1)

Normal moves: right & down

Teleport moves with constraints

At most k teleportations

Minimize total cost

✔️ Key Approach
Method:

✅ Dijkstra with State (i, j, tUsed)

Priority queue for shortest path

Track teleport count

Smart pruning of teleport targets

✔️ Algorithm Used

Multi-dimensional Dijkstra

State compression

Efficient teleport transitions

✔️ Time & Space Complexity

Time: O(m * n * k * log(mnk))

Space: O(m * n * k)

✔️ Why This Is Important

This problem is great for:

✅ Advanced graph modeling
✅ State-based Dijkstra
✅ Hard LeetCode practice
✅ FAANG-level grid problems

🔥 Must-watch for mastering grid shortest path + teleportation optimization.

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📌 Companies Where This Problem Is Asked:
Go check in the Github Repo

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🔗 Problem Link: https://leetcode.com/problems/minimum-cost-path-with-teleportations/?envType=daily-question&envId=2026-01-28

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Java | C++ | Python | JavaScript (GitHub link in description)

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LeetCode 3651 Teleport Grid
Grid + Teleport | LeetCode Hard
#leetcode #shorts #grid #dijkstra #coding

#leetcode #dijkstra #dp #grid #coding
#LeetCodeDaily #Teleportation #GridPath #HardLeetCode

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