{ "data": { "question": { "questionId": "1757", "questionFrontendId": "1654", "categoryTitle": "Algorithms", "boundTopicId": 481433, "title": "Minimum Jumps to Reach Home", "titleSlug": "minimum-jumps-to-reach-home", "content": "

A certain bug's home is on the x-axis at position x. Help them get there from position 0.

\n\n

The bug jumps according to the following rules:

\n\n\n\n

The bug may jump forward beyond its home, but it cannot jump to positions numbered with negative integers.

\n\n

Given an array of integers forbidden, where forbidden[i] means that the bug cannot jump to the position forbidden[i], and integers a, b, and x, return the minimum number of jumps needed for the bug to reach its home. If there is no possible sequence of jumps that lands the bug on position x, return -1.

\n\n

 

\n

Example 1:

\n\n
\nInput: forbidden = [14,4,18,1,15], a = 3, b = 15, x = 9\nOutput: 3\nExplanation: 3 jumps forward (0 -> 3 -> 6 -> 9) will get the bug home.\n
\n\n

Example 2:

\n\n
\nInput: forbidden = [8,3,16,6,12,20], a = 15, b = 13, x = 11\nOutput: -1\n
\n\n

Example 3:

\n\n
\nInput: forbidden = [1,6,2,14,5,17,4], a = 16, b = 9, x = 7\nOutput: 2\nExplanation: One jump forward (0 -> 16) then one jump backward (16 -> 7) will get the bug home.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "到家的最少跳跃次数", "translatedContent": "

有一只跳蚤的家在数轴上的位置 x 处。请你帮助它从位置 0 出发,到达它的家。

\n\n

跳蚤跳跃的规则如下:

\n\n\n\n

跳蚤可以往前跳 超过 它的家的位置,但是它 不能跳到负整数 的位置。

\n\n

给你一个整数数组 forbidden ,其中 forbidden[i] 是跳蚤不能跳到的位置,同时给你整数 a, b 和 x ,请你返回跳蚤到家的最少跳跃次数。如果没有恰好到达 x 的可行方案,请你返回 -1

\n\n

 

\n\n

示例 1:

\n\n
\n输入:forbidden = [14,4,18,1,15], a = 3, b = 15, x = 9\n输出:3\n解释:往前跳 3 次(0 -> 3 -> 6 -> 9),跳蚤就到家了。\n
\n\n

示例 2:

\n\n
\n输入:forbidden = [8,3,16,6,12,20], a = 15, b = 13, x = 11\n输出:-1\n
\n\n

示例 3:

\n\n
\n输入:forbidden = [1,6,2,14,5,17,4], a = 16, b = 9, x = 7\n输出:2\n解释:往前跳一次(0 -> 16),然后往回跳一次(16 -> 7),跳蚤就到家了。\n
\n\n

 

\n\n

提示:

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