{ "data": { "question": { "questionId": "2325", "questionFrontendId": "6035", "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 <= 105
s[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:
\n\n3 <= s.length <= 105
s[i]
要么是 '0'
,要么是 '1'
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out-of-bounds<\\/code>\\u548c
use-after-free<\\/code>\\u9519\\u8bef\\u3002<\\/p>\\r\\n\\r\\n
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