Given a string 'S' (composed of digits) and an integer 'X", the task is to count all the sub-strings of 'S' that satisfy the following conditions:
- The sub-string must not begin with the digit '0'.
- And the numeric number it represents must be greater than 'X'.
Note: Two ways of selecting a sub-string are different if they begin or end at different indices.
Examples:
Input: S = "471", X = 47
Output: 2
Only the sub-strings "471" and "71"
satisfy the given conditions.
Input: S = "2222", X = 97
Output: 3
Valid strings are "222", "222" and "2222".
Approach:
- Iterate over each digit of the string 'S' and choose the digits which are greater than '0'.
- Now, take all possible sub-strings starting from the character chosen in the previous step and convert each sub-string to an integer.
- Compare the integer from the previous step to 'X'. If the number is greater than 'X', then increment the count variable.
- Finally, print the value of the count variable.
Below is the implementation of the above approach:
Complexity Analysis:
- Time Complexity: O(N3)
- Auxiliary Space: O(1)