{ "data": { "question": { "questionId": "1515", "questionFrontendId": "1414", "categoryTitle": "Algorithms", "boundTopicId": 204484, "title": "Find the Minimum Number of Fibonacci Numbers Whose Sum Is K", "titleSlug": "find-the-minimum-number-of-fibonacci-numbers-whose-sum-is-k", "content": "

Given an integer k, return the minimum number of Fibonacci numbers whose sum is equal to k. The same Fibonacci number can be used multiple times.

\n\n

The Fibonacci numbers are defined as:

\n\n\nIt is guaranteed that for the given constraints we can always find such Fibonacci numbers that sum up to k.\n

 

\n

Example 1:

\n\n
\nInput: k = 7\nOutput: 2 \nExplanation: The Fibonacci numbers are: 1, 1, 2, 3, 5, 8, 13, ... \nFor k = 7 we can use 2 + 5 = 7.
\n\n

Example 2:

\n\n
\nInput: k = 10\nOutput: 2 \nExplanation: For k = 10 we can use 2 + 8 = 10.\n
\n\n

Example 3:

\n\n
\nInput: k = 19\nOutput: 3 \nExplanation: For k = 19 we can use 1 + 5 + 13 = 19.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "和为 K 的最少斐波那契数字数目", "translatedContent": "

给你数字 k ，请你返回和为 k 的斐波那契数字的最少数目，其中，每个斐波那契数字都可以被使用多次。

\n\n

斐波那契数字定义为：

\n\n\n\n

数据保证对于给定的 k ，一定能找到可行解。

\n\n

 

\n\n

示例 1：

\n\n
输入：k = 7\n输出：2 \n解释：斐波那契数字为：1，1，2，3，5，8，13，……\n对于 k = 7 ，我们可以得到 2 + 5 = 7 。
\n\n

示例 2：

\n\n
输入：k = 10\n输出：2 \n解释：对于 k = 10 ，我们可以得到 2 + 8 = 10 。\n
\n\n

示例 3：

\n\n
输入：k = 19\n输出：3 \n解释：对于 k = 19 ，我们可以得到 1 + 5 + 13 = 19 。\n
\n\n

 

\n\n

提示：

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