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Suppose we have a digital clock of type HH:MM. Which shows the time in hours and minutes only. We are given a number of hours and minutes as input. The goal is to count the number of times all digits are the same. H=M.

This happens 3 times a day, first at 00:00 midnight, then at 11:11 and last at 22:22. As time is represented in 24 hour format.

Input: 12 hours 22 minutes.

2

**Explanation** − For times 00:00 and 11:11. Twice in 12 hours.

Input: 48 hours 22 minutes.

5

**Explanation** − For times 00:00 and 11:11, 22:22 .

- Variables hours and minutes store the input.
- Function countIdentical(int hours, int minutes) takes minutes and hours and return count of no. of times all HH;MM digits are the same.
- For 00:00 initialize count as 1.
- For each hour as 11 and 22 and minutes as 11 and 22 increment count by 1.
- Return the result after the loop ends.
- Count is the desired result.
- Print the count.

// C++ implementation of the approach #include <bits/stdc++.h> using namespace std; // examples- 11:11 11hrs 11 mins, 22:22 int countIdentical(int hours, int minutes){ // Initialized to 1 because of 00:00 int i, count=1; // For double digit hours for (i = 0; i <= 99 && i < hours; i = i + 11) { // Double digit minutes if ((i % 10) < minutes) count++; } return count; } int main(){ int hours = 48; int minutes = 22; cout <<"Times when all digits are identical in HH:MM :" << countIdentical(hours, minutes); return 0; }

Times when all digits are identical in HH:MM : 6

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