Python Coding Practice

Solve Rat Maze With Multiple Jumps using Python Language

Solve Rat Maze With Multiple Jumps using Python to enhance your skills with python coding practice , master coding concepts, and prepare for interviews with practical exercises and detailed solutions.

Rat Maze With Multiple Jumps

Difficulty : Medium

Categories :

  • Backtracking

Given an n×n maze matrix where a rat needs to reach from source (0,0) to destination (n-1,n-1). The rat can move in two directions:

  • Forward (right)
  • Down

Each cell contains a number indicating the maximum number of steps the rat can jump from that cell. A value of 0 indicates a blocked cell.

Return a matrix of the same size where 1 indicates cells in the path taken and 0 for unused cells. If no path exists, return a 1×1 matrix containing -1.

Rules:

  • If multiple solutions exist, choose the path with shortest hops
  • For same hop count, prefer forward movement over downward
  • Each jump must be within the max steps allowed by the cell value

Constraints:

  • 1 ≤ n ≤ 50
  • 1 ≤ matrix[i][j] ≤ 20

Examples:

Input: matrix = [
  [2,1,0,0],
  [3,0,0,1],
  [0,1,0,1],
  [0,0,0,1]
]
Output: [
  [1,0,0,0],
  [1,0,0,1],
  [0,0,0,1],
  [0,0,0,1]
]
Explanation: Path takes jumps according to allowed max steps in each cell

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Arrays A collection of elements stored in contiguous memory locations, allowing efficient random access and manipulation.

Linked Lists A linear data structure where each element (node) points to the next, offering dynamic memory allocation and efficient insertions/deletions.

Trees A hierarchical data structure with nodes connected by edges, used in applications like databases, file systems, and parsing.

Graphs A collection of nodes (vertices) connected by edges, representing relationships, widely used in networking, routing, and social networks.

Dynamic Programming An optimization technique that solves problems by breaking them into overlapping subproblems and storing their results.

Backtracking A problem-solving method that explores all possibilities recursively, backtracking when a solution is not feasible.

Sorting Algorithms Techniques for arranging elements in a specific order, such as quicksort, mergesort, and bubble sort, essential for data organization.

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Mathematics A field of study involving numbers, calculations, and logical reasoning, forming the foundation for algorithms and problem-solving.

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