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Subset Sum Problem | Subset Sum Problem Using Dynamic Programming |

This presentation aims to solve the subset sum problems using dynamic programming. This "subset sum problem" tutorial helps learners to learn data structures and algorithms through a standard problem.<br> <br>This presentation will cover the following concepts:<br>1. Introduction<br>2. Problem Statment<br>3. Algorithmic solution<br>4. Implementation

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Subset Sum Problem | Subset Sum Problem Using Dynamic Programming |

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Presentation Transcript

  1. Agenda

  2. Agenda Problem Statement

  3. Click here to watch the video

  4. Agenda Algorithmic solution

  5. Agenda Implementation

  6. Problem Statement

  7. Problem Statement 1 4 2 3 6 8 7 10 2 9 2 2 2 2 2 We will be given a set of non-negative integers, and a value sum, we must determine if there is a subset of the given set with sum equal to given sum.

  8. Algorithmic Solution

  9. Algorithmic Solution We will create a 2D array of size (arr.size() + 1) * (target + 1) of type boolean.

  10. Algorithmic Solution We will create a 2D array of size (arr.size() + 1) * (target + 1) of type boolean. The state DP[i][j] will be true if there exists a subset of elements from A[0….i] with sum value = ‘j’.

  11. Algorithmic Solution We will create a 2D array of size (arr.size() + 1) * (target + 1) of type boolean. The state DP[i][j] will be true if there exists a subset of elements from A[0….i] with sum value = ‘j’. Pseudocode: if (A[i-1] > j) DP[i][j] = DP[i-1][j] else DP[i][j] = DP[i-1][j] OR DP[i-1][j-A[i-1]]

  12. Implementation

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