{ "data": { "question": { "questionId": "2787", "questionFrontendId": "2731", "categoryTitle": "Algorithms", "boundTopicId": 2302714, "title": "Movement of Robots", "titleSlug": "movement-of-robots", "content": "

Some robots are standing on an infinite number line with their initial coordinates given by a 0-indexed integer array nums and will start moving once given the command to move. The robots will move a unit distance each second.

\n\n

You are given a string s denoting the direction in which robots will move on command. 'L' means the robot will move towards the left side or negative side of the number line, whereas 'R' means the robot will move towards the right side or positive side of the number line.

\n\n

If two robots collide, they will start moving in opposite directions.

\n\n

Return the sum of distances between all the pairs of robots d seconds after the command. Since the sum can be very large, return it modulo 109 + 7.

\n\n

Note:

\n\n\n\n

 

\n

Example 1:

\n\n
\nInput: nums = [-2,0,2], s = "RLL", d = 3\nOutput: 8\nExplanation: \nAfter 1 second, the positions are [-1,-1,1]. Now, the robot at index 0 will move left, and the robot at index 1 will move right.\nAfter 2 seconds, the positions are [-2,0,0]. Now, the robot at index 1 will move left, and the robot at index 2 will move right.\nAfter 3 seconds, the positions are [-3,-1,1].\nThe distance between the robot at index 0 and 1 is abs(-3 - (-1)) = 2.\nThe distance between the robot at index 0 and 2 is abs(-3 - 1) = 4.\nThe distance between the robot at index 0 and 1 is abs(-1 - 1) = 2.\nThe sum of the pairs of all distances = 2 + 4 + 2 = 8.\n
\n\n

Example 2:

\n\n
\nInput: nums = [1,0], s = "RL", d = 2\nOutput: 5\nExplanation: \nAfter 1 second, the positions are [2,-1].\nAfter 2 seconds, the positions are [3,-2].\nThe distance between the two robots is abs(-2 - 3) = 5.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "移动机器人", "translatedContent": "

有一些机器人分布在一条无限长的数轴上，他们初始坐标用一个下标从 0 开始的整数数组 nums 表示。当你给机器人下达命令时，它们以每秒钟一单位的速度开始移动。

\n\n

给你一个字符串 s ，每个字符按顺序分别表示每个机器人移动的方向。'L' 表示机器人往左或者数轴的负方向移动，'R' 表示机器人往右或者数轴的正方向移动。

\n\n

当两个机器人相撞时，它们开始沿着原本相反的方向移动。

\n\n

请你返回指令重复执行 d 秒后，所有机器人之间两两距离之和。由于答案可能很大，请你将答案对 109 + 7 取余后返回。

\n\n

注意：

\n\n\n\n

 

\n\n

示例 1：

\n\n
\n输入：nums = [-2,0,2], s = \"RLL\", d = 3\n输出：8\n解释：\n1 秒后，机器人的位置为 [-1,-1,1] 。现在下标为 0 的机器人开始往左移动，下标为 1 的机器人开始往右移动。\n2 秒后，机器人的位置为 [-2,0,0] 。现在下标为 1 的机器人开始往左移动，下标为 2 的机器人开始往右移动。\n3 秒后，机器人的位置为 [-3,-1,1] 。\n下标为 0 和 1 的机器人之间距离为 abs(-3 - (-1)) = 2 。\n下标为 0 和 2 的机器人之间的距离为 abs(-3 - 1) = 4 。\n下标为 1 和 2 的机器人之间的距离为 abs(-1 - 1) = 2 。\n所有机器人对之间的总距离为 2 + 4 + 2 = 8 。\n
\n\n

示例 2：

\n\n
\n输入：nums = [1,0], s = \"RL\", d = 2\n输出：5\n解释：\n1 秒后，机器人的位置为 [2,-1] 。\n2 秒后，机器人的位置为 [3,-2] 。\n两个机器人的距离为 abs(-2 - 3) = 5 。\n
\n\n

 

\n\n

提示：

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