{ "data": { "question": { "questionId": "2837", "questionFrontendId": "2749", "categoryTitle": "Algorithms", "boundTopicId": 2317244, "title": "Minimum Operations to Make the Integer Zero", "titleSlug": "minimum-operations-to-make-the-integer-zero", "content": "

You are given two integers num1 and num2.

\n\n

In one operation, you can choose integer i in the range [0, 60] and subtract 2i + num2 from num1.

\n\n

Return the integer denoting the minimum number of operations needed to make num1 equal to 0.

\n\n

If it is impossible to make num1 equal to 0, return -1.

\n\n

 

\n

Example 1:

\n\n
\nInput: num1 = 3, num2 = -2\nOutput: 3\nExplanation: We can make 3 equal to 0 with the following operations:\n- We choose i = 2 and substract 22 + (-2) from 3, 3 - (4 + (-2)) = 1.\n- We choose i = 2 and substract 22 + (-2) from 1, 1 - (4 + (-2)) = -1.\n- We choose i = 0 and substract 20 + (-2) from -1, (-1) - (1 + (-2)) = 0.\nIt can be proven, that 3 is the minimum number of operations that we need to perform.\n
\n\n

Example 2:

\n\n
\nInput: num1 = 5, num2 = 7\nOutput: -1\nExplanation: It can be proven, that it is impossible to make 5 equal to 0 with the given operation.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "得到整数零需要执行的最少操作数", "translatedContent": "

给你两个整数:num1num2

\n\n

在一步操作中,你需要从范围 [0, 60] 中选出一个整数 i ,并从 num1 减去 2i + num2

\n\n

请你计算,要想使 num1 等于 0 需要执行的最少操作数,并以整数形式返回。

\n\n

如果无法使 num1 等于 0 ,返回 -1

\n\n

 

\n\n

示例 1:

\n\n
\n输入:num1 = 3, num2 = -2\n输出:3\n解释:可以执行下述步骤使 3 等于 0 :\n- 选择 i = 2 ,并从 3 减去 22 + (-2) ,num1 = 3 - (4 + (-2)) = 1 。\n- 选择 i = 2 ,并从 1 减去 22 + (-2) ,num1 = 1 - (4 + (-2)) = -1 。\n- 选择 i = 0 ,并从 -1 减去 20 + (-2) ,num1 = (-1) - (1 + (-2)) = 0 。\n可以证明 3 是需要执行的最少操作数。\n
\n\n

示例 2:

\n\n
\n输入:num1 = 5, num2 = 7\n输出:-1\n解释:可以证明,执行操作无法使 5 等于 0 。\n
\n\n

 

\n\n

提示:

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