I am going through this programming task : Count of sub-strings with equal consecutive 0’s and 1’s,
Given binary string str of 0’s and 1’s only. The task is to count the total numbers of substrings of string str such that each substring has an equal number of consecutive 0’s and 1’s in it.
Example :
Input: str = “010011”
Output: 4
Explanation:
The substrings with consecutive 0’s and 1’s are “01”, “10”, “0011”, “01”. Hence, the count is 4.
Note:
The two “01” are at different positions: [0, 1] and [3, 4].
“010011” has the same number of 0’s and 1’s but they are not consecutive.
Example :
Input: str = “0001110010”
Output: 7
Explanation:
The substrings with consecutive 0’s and 1’s are “000111”, “0011”, “01”, “1100”, “10”, “01”, “10”.
This is the Java program for it:
class GFG{
// Function to find the count
// of substrings with equal no.
// of consecutive 0's and 1's
static int countSubstring(String S, int n)
{
// To store the total count
// of substrings
int ans = 0;
int i = 0;
// Traversing the string
while (i < n) {
// Count of consecutive
// 0's & 1's
int cnt0 = 0, cnt1 = 0;
// Counting subarrays of
// type "01"
if (S.charAt(i) == '0') {
// Count the consecutive
// 0's
while (i < n && S.charAt(i) == '0') {
cnt0++;
i++;
}
// If consecutive 0's
// ends then check for
// consecutive 1's
int j = i;
// Counting consecutive 1's
while (j < n && S.charAt(j) == '1') {
cnt1++;
j++;
}
}
// Counting subarrays of
// type "10"
else {
// Count consecutive 1's
while (i < n && S.charAt(i) == '1') {
cnt1++;
i++;
}
// If consecutive 1's
// ends then check for
// consecutive 0's
int j = i;
// Count consecutive 0's
while (j < n && S.charAt(j) == '0') {
cnt0++;
j++;
}
}
// Update the total count
// of substrings with
// minimum of (cnt0, cnt1)
ans += Math.min(cnt0, cnt1);
}
// Return answer
return ans;
}
// Driver code
static public void main(String args[])
{
String S = "0001110010";
int n = S.length();
// Function to print the
// count of substrings
System.out.println(countSubstring(S, n));
}
}
The link says that : Time Complexity: O(N), where N = length of string.
But in this code, we have an outer look while (i < n) { and then inner loop while (i < n && S.charAt(i) == '0') and while (j < n && S.charAt(j) == '1'), so how this can be O(N) instead of O(N^2).