codingstuff.io
ExploreTutorialsProblemsCS Subjects
Get Started
ExploreTutorialsProblemsCS Subjects
Get Started
codingstuff.io

Master the art of building software through interactive tutorials, real-world problems, and guided projects.

Pune, Maharashtra, India

codingstuffmail@gmail.com

Product

  • Explore
  • Tutorials
  • Problems
  • CS Subjects

Company

  • About
  • Contact
  • Privacy Policy
  • Terms & Conditions
  • Sitemap

© 2026 codingstuff.io. All rights reserved.

Built with ❤️ for developers everywhere

ProblemsTarget Sum

Target Sum

Medium
Dynamic Programming

You are given an integer array nums and an integer target.

You want to build an expression out of nums by adding one of the symbols '+' and '-' before each integer in nums and then concatenate all the integers.

  • For example, if nums = [2, 1], you can add a '+' before 2 and a '-' before 1 and concatenate them to build the expression "+2-1".

Return the number of different expressions that you can build, which evaluates to target.

 

Example 1:

Input: nums = [1,1,1,1,1], target = 3
Output: 5
Explanation: There are 5 ways to assign symbols to make the sum of nums be target 3.
-1 + 1 + 1 + 1 + 1 = 3
+1 - 1 + 1 + 1 + 1 = 3
+1 + 1 - 1 + 1 + 1 = 3
+1 + 1 + 1 - 1 + 1 = 3
+1 + 1 + 1 + 1 - 1 = 3

Example 2:

Input: nums = [1], target = 1
Output: 1

 

Constraints:

  • 1 <= nums.length <= 20
  • 0 <= nums[i] <= 1000
  • 0 <= sum(nums[i]) <= 1000
  • -1000 <= target <= 1000

Related Problems

View all
Climbing Stairs
Easy•Dp
Min Cost Climbing Stairs
Easy•Dp
House Robber
Medium•Dp
House Robber II
Medium•Dp
Longest Palindromic Substring
Medium•Dp
Palindromic Substrings
Medium•Dp
Input:
nums = [1,1,1,1,1], target = 3