{ "data": { "question": { "questionId": "2325", "questionFrontendId": "2222", "categoryTitle": "Algorithms", "boundTopicId": 1385553, "title": "Number of Ways to Select Buildings", "titleSlug": "number-of-ways-to-select-buildings", "content": "
You are given a 0-indexed binary string s which represents the types of buildings along a street where:
s[i] = '0' denotes that the ith building is an office ands[i] = '1' denotes that the ith building is a restaurant.As a city official, you would like to select 3 buildings for random inspection. However, to ensure variety, no two consecutive buildings out of the selected buildings can be of the same type.
\n\ns = "001101", we cannot select the 1st, 3rd, and 5th buildings as that would form "011" which is not allowed due to having two consecutive buildings of the same type.Return the number of valid ways to select 3 buildings.
\n\n\n
Example 1:
\n\n\nInput: s = "001101"\nOutput: 6\nExplanation: \nThe following sets of indices selected are valid:\n- [0,2,4] from "001101" forms "010"\n- [0,3,4] from "001101" forms "010"\n- [1,2,4] from "001101" forms "010"\n- [1,3,4] from "001101" forms "010"\n- [2,4,5] from "001101" forms "101"\n- [3,4,5] from "001101" forms "101"\nNo other selection is valid. Thus, there are 6 total ways.\n\n\n
Example 2:
\n\n\nInput: s = "11100"\nOutput: 0\nExplanation: It can be shown that there are no valid selections.\n\n\n
\n
Constraints:
\n\n3 <= s.length <= 105s[i] is either '0' or '1'.给你一个下标从 0 开始的二进制字符串 s ,它表示一条街沿途的建筑类型,其中:
s[i] = '0' 表示第 i 栋建筑是一栋办公楼,s[i] = '1' 表示第 i 栋建筑是一间餐厅。作为市政厅的官员,你需要随机 选择 3 栋建筑。然而,为了确保多样性,选出来的 3 栋建筑 相邻 的两栋不能是同一类型。
\n\ns = \"001101\" ,我们不能选择第 1 ,3 和 5 栋建筑,因为得到的子序列是 \"011\" ,有相邻两栋建筑是同一类型,所以 不合 题意。请你返回可以选择 3 栋建筑的 有效方案数 。
\n\n\n\n
示例 1:
\n\n输入:s = \"001101\"\n输出:6\n解释:\n以下下标集合是合法的:\n- [0,2,4] ,从 \"001101\" 得到 \"010\"\n- [0,3,4] ,从 \"001101\" 得到 \"010\"\n- [1,2,4] ,从 \"001101\" 得到 \"010\"\n- [1,3,4] ,从 \"001101\" 得到 \"010\"\n- [2,4,5] ,从 \"001101\" 得到 \"101\"\n- [3,4,5] ,从 \"001101\" 得到 \"101\"\n没有别的合法选择,所以总共有 6 种方法。\n\n\n
示例 2:
\n\n输入:s = \"11100\"\n输出:0\n解释:没有任何符合题意的选择。\n\n\n
\n\n
提示:
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"exampleTestcases": "\"001101\"\n\"11100\"",
"__typename": "QuestionNode"
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