{ "data": { "question": { "questionId": "494", "questionFrontendId": "494", "categoryTitle": "Algorithms", "boundTopicId": 1519, "title": "Target Sum", "titleSlug": "target-sum", "content": "
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.
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
.
\n
Example 1:
\n\n\nInput: nums = [1,1,1,1,1], target = 3\nOutput: 5\nExplanation: There are 5 ways to assign symbols to make the sum of nums be target 3.\n-1 + 1 + 1 + 1 + 1 = 3\n+1 - 1 + 1 + 1 + 1 = 3\n+1 + 1 - 1 + 1 + 1 = 3\n+1 + 1 + 1 - 1 + 1 = 3\n+1 + 1 + 1 + 1 - 1 = 3\n\n\n
Example 2:
\n\n\nInput: nums = [1], target = 1\nOutput: 1\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 20
0 <= nums[i] <= 1000
0 <= sum(nums[i]) <= 1000
-1000 <= target <= 1000
给你一个非负整数数组 nums
和一个整数 target
。
向数组中的每个整数前添加 '+'
或 '-'
,然后串联起所有整数,可以构造一个 表达式 :
nums = [2, 1]
,可以在 2
之前添加 '+'
,在 1
之前添加 '-'
,然后串联起来得到表达式 \"+2-1\"
。返回可以通过上述方法构造的、运算结果等于 target
的不同 表达式 的数目。
\n\n
示例 1:
\n\n\n输入:nums = [1,1,1,1,1], target = 3\n输出:5\n解释:一共有 5 种方法让最终目标和为 3 。\n-1 + 1 + 1 + 1 + 1 = 3\n+1 - 1 + 1 + 1 + 1 = 3\n+1 + 1 - 1 + 1 + 1 = 3\n+1 + 1 + 1 - 1 + 1 = 3\n+1 + 1 + 1 + 1 - 1 = 3\n\n\n
示例 2:
\n\n\n输入:nums = [1], target = 1\n输出:1\n\n\n
\n\n
提示:
\n\n1 <= nums.length <= 20
0 <= nums[i] <= 1000
0 <= sum(nums[i]) <= 1000
-1000 <= target <= 1000
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