Medium
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 = "0**0**1**1**0**1**"
, we cannot select the 1st
, 3rd
, and 5th
buildings as that would form "0**11**"
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'
.class Solution {
fun numberOfWays(s: String): Long {
var z: Long = 0
var o: Long = 0
var zo: Long = 0
var oz: Long = 0
var zoz: Long = 0
var ozo: Long = 0
for (c in s.toCharArray()) {
if (c == '0') {
zoz += zo
oz += o
z++
} else {
ozo += oz
zo += z
o++
}
}
return zoz + ozo
}
}