{ "data": { "question": { "questionId": "2679", "questionFrontendId": "2549", "categoryTitle": "Algorithms", "boundTopicId": 2077555, "title": "Count Distinct Numbers on Board", "titleSlug": "count-distinct-numbers-on-board", "content": "

You are given a positive integer n, that is initially placed on a board. Every day, for 109 days, you perform the following procedure:

\n\n\n\n

Return the number of distinct integers present on the board after 109 days have elapsed.

\n\n

Note:

\n\n\n\n

 

\n

Example 1:

\n\n
\nInput: n = 5\nOutput: 4\nExplanation: Initially, 5 is present on the board. \nThe next day, 2 and 4 will be added since 5 % 2 == 1 and 5 % 4 == 1. \nAfter that day, 3 will be added to the board because 4 % 3 == 1. \nAt the end of a billion days, the distinct numbers on the board will be 2, 3, 4, and 5. \n
\n\n

Example 2:

\n\n
\nInput: n = 3\nOutput: 2\nExplanation: \nSince 3 % 2 == 1, 2 will be added to the board. \nAfter a billion days, the only two distinct numbers on the board are 2 and 3. \n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "统计桌面上的不同数字", "translatedContent": "

给你一个正整数 n ，开始时，它放在桌面上。在 109 天内，每天都要执行下述步骤：

\n\n\n\n

返回在 109 天之后，出现在桌面上的 不同 整数的数目。

\n\n

注意：

\n\n\n\n

 

\n\n

示例 1：

\n\n
\n输入：n = 5\n输出：4\n解释：最开始，5 在桌面上。 \n第二天，2 和 4 也出现在桌面上，因为 5 % 2 == 1 且 5 % 4 == 1 。 \n再过一天 3 也出现在桌面上，因为 4 % 3 == 1 。 \n在十亿天结束时，桌面上的不同数字有 2 、3 、4 、5 。\n
\n\n

示例 2：

\n\n
\n输入：n = 3 \n输出：2\n解释： \n因为 3 % 2 == 1 ，2 也出现在桌面上。 \n在十亿天结束时，桌面上的不同数字只有两个：2 和 3 。 \n
\n\n

 

\n\n

提示：

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