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Unique paths in a given grid using Dynamic Programming Test | Pre-employment assessment - Testlify
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Unique paths in a given grid using Dynamic Programming Test

Overview of Unique paths in a given grid using Dynamic Programming Test

This test library assesses the candidate of logical thinking in dynamic programming

Skills measured

  • Dynamic Programming

Available in

English

Type

Coding Test


Time

25 Mins


Level

Intermediate


Questions

1

Use of Unique paths in a given grid using Dynamic Programming test

The problem involves finding the number of unique paths that a robot can take to reach the bottom-right corner of an m x n grid, while moving only down or right. We can use dynamic programming to solve this problem efficiently by storing the number of paths to reach each cell in a 2D array. The algorithm fills up the array using a recurrence relation based on the fact that the only ways to reach a given cell are to either come from the cell above it or the cell to its left. Finally, we return the number of paths to reach the bottom-right corner, which is stored in the last cell of the array. The code uses Python to implement this algorithm and takes in the dimensions of the grid as input to compute the answer.

Relevant for

  • Software Developer
  • Software Engineers
  • Software Programmer

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1

Dynamic Programming

Dynamic Programming is a crucial skill in solving the Unique Paths problem in a given grid. By breaking down the problem into smaller subproblems and storing the results in a table, Dynamic Programming allows for efficient computation of the total number of unique paths. This technique eliminates redundant calculations and significantly improves the time complexity of the solution. By utilizing Dynamic Programming, programmers can solve complex problems like finding unique paths in a grid in an optimized and scalable manner.

The Unique paths in a given grid using Dynamic Programming test is created by a subject-matter expert

Testlify’s skill tests are designed by experienced SMEs (subject matter experts). We evaluate these experts based on specific metrics such as expertise, capability, and their market reputation. Prior to being published, each skill test is peer-reviewed by other experts and then calibrated based on insights derived from a significant number of test-takers who are well-versed in that skill area. Our inherent feedback systems and built-in algorithms enable our SMEs to refine our tests continually.

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