{ "data": { "question": { "questionId": "2328", "questionFrontendId": "2232", "categoryTitle": "Algorithms", "boundTopicId": 1403802, "title": "Minimize Result by Adding Parentheses to Expression", "titleSlug": "minimize-result-by-adding-parentheses-to-expression", "content": "

You are given a 0-indexed string expression of the form "<num1>+<num2>" where <num1> and <num2> represent positive integers.

\n\n

Add a pair of parentheses to expression such that after the addition of parentheses, expression is a valid mathematical expression and evaluates to the smallest possible value. The left parenthesis must be added to the left of '+' and the right parenthesis must be added to the right of '+'.

\n\n

Return expression after adding a pair of parentheses such that expression evaluates to the smallest possible value. If there are multiple answers that yield the same result, return any of them.

\n\n

The input has been generated such that the original value of expression, and the value of expression after adding any pair of parentheses that meets the requirements fits within a signed 32-bit integer.

\n\n

 

\n

Example 1:

\n\n
\nInput: expression = "247+38"\nOutput: "2(47+38)"\nExplanation: The expression evaluates to 2 * (47 + 38) = 2 * 85 = 170.\nNote that "2(4)7+38" is invalid because the right parenthesis must be to the right of the '+'.\nIt can be shown that 170 is the smallest possible value.\n
\n\n

Example 2:

\n\n
\nInput: expression = "12+34"\nOutput: "1(2+3)4"\nExplanation: The expression evaluates to 1 * (2 + 3) * 4 = 1 * 5 * 4 = 20.\n
\n\n

Example 3:

\n\n
\nInput: expression = "999+999"\nOutput: "(999+999)"\nExplanation: The expression evaluates to 999 + 999 = 1998.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "向表达式添加括号后的最小结果", "translatedContent": "

给你一个下标从 0 开始的字符串 expression ,格式为 \"<num1>+<num2>\" ,其中 <num1><num2> 表示正整数。

\n\n

请你向 expression 中添加一对括号,使得在添加之后, expression 仍然是一个有效的数学表达式,并且计算后可以得到 最小 可能值。左括号 必须 添加在 '+' 的左侧,而右括号必须添加在 '+' 的右侧。

\n\n

返回添加一对括号后形成的表达式 expression ,且满足 expression 计算得到 最小 可能值如果存在多个答案都能产生相同结果,返回任意一个答案。

\n\n

生成的输入满足:expression 的原始值和添加满足要求的任一对括号之后 expression 的值,都符合 32-bit 带符号整数范围。

\n\n

 

\n\n

示例 1:

\n\n
输入:expression = \"247+38\"\n输出:\"2(47+38)\"\n解释:表达式计算得到 2 * (47 + 38) = 2 * 85 = 170 。\n注意 \"2(4)7+38\" 不是有效的结果,因为右括号必须添加在 '+' 的右侧。\n可以证明 170 是最小可能值。\n
\n\n

示例 2:

\n\n
输入:expression = \"12+34\"\n输出:\"1(2+3)4\"\n解释:表达式计算得到 1 * (2 + 3) * 4 = 1 * 5 * 4 = 20 。\n
\n\n

示例 3:

\n\n
输入:expression = \"999+999\"\n输出:\"(999+999)\"\n解释:表达式计算得到 999 + 999 = 1998 。\n
\n\n

 

\n\n

提示:

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