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.
s = "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.
Example 1:
Input: s = "001101" Output: 6 Explanation: The following sets of indices selected are valid: - [0,2,4] from "001101" forms "010" - [0,3,4] from "001101" forms "010" - [1,2,4] from "001101" forms "010" - [1,3,4] from "001101" forms "010" - [2,4,5] from "001101" forms "101" - [3,4,5] from "001101" forms "101" No other selection is valid. Thus, there are 6 total ways.
Example 2:
Input: s = "11100" Output: 0 Explanation: It can be shown that there are no valid selections.
Constraints:
3 <= s.length <= 105
s[i]
is either '0'
or '1'
.