# Maximum segment value after putting k breakpoints in a number in C++

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In this problem, we are given a string that denotes a large number and an integer k roar denotes the number of breakpoints. Our task is to create a program that will find the maximum segment value after putting L breakpoints in a number.

Here, we have to find the maximum number that can be generated after putting k breakpoint in the number given by the string.

Let's take an example to understand the problem

Input − string = “45972”, k = 3

Output − 97

Explanation

All possible number is:
45    9    7    2
4    59    7    2
4    5    97    2
4    5    9    72
From all 97 is the largest number.

To solve this problem, we will use the sliding window. Here, the window size will be equal to (length of string - k) i.e. the maximum number will of this size. We will check for the maximum number form all the possible numbers of the given size using the sliding window technique.

## Example

Program to find the maximum segment value after putting K breakpoints in a number −

Live Demo

#include <bits/stdc++.h>
using namespace std;
int findMaxSegmentWithKbreaks(string &s, int k) {
int window = s.length() - k;
int MaxNumber = 0;
for (int i=0; i<window; i++)
MaxNumber = MaxNumber * 10 + (s[i] - '0');
int slWindow = pow(10, window-1);
int value = MaxNumber;
for (int i = 1; i <= (s.length() - window); i++) {
value = value - (s[i-1]- '0')*slWindow;
value = value*10 + (s[i+window-1]- '0');
MaxNumber = max(MaxNumber, value);
}
return MaxNumber;
}
int main() {
string s = "45972";
int k = 3;
cout<<"Maximum segment value after putting "<<k<<" break points in a number = "<<findMaxSegmentWithKbreaks(s, k);
return 0;
}

## Output

Maximum segment value after putting 3 breakpoints in a number = 97
Updated on 03-Jun-2020 08:19:11