# Maximum segment value after putting k breakpoints in a number

• Difficulty Level : Easy
• Last Updated : 19 Feb, 2019

Given a large number as string s and an integer k which denotes the number of breakpoints we must put in the number k <= string length. The task is to find maximum segment value after putting exactly k breakpoints.

Examples:

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```Input : s = "8754", k = 2
Output : Maximum number = 87
Explanation : We need to two breakpoints. After
putting the breakpoints, we get following options
8 75 4
87 5 4
The maximum segment value is 87.

Input : s = "999", k = 1
Output : Maximum Segment Value = 99
Explanation : We need to one breakpoint. After
putting the breakpoint, we either get 99,9 or
9,99.
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

One important observation is, the maximum would always be of length “string-length – k” which is the maximum value of any segment. Considering the fact, problem becomes like sliding window problem means we need to find maximum of all substrings of size (string-length – k).

## C++

 `// CPP program to find the maximum segment``// value after putting k breaks.``#include ``using` `namespace` `std;`` ` `// Function to Find Maximum Number``int` `findMaxSegment(string &s, ``int` `k) {`` ` `  ``// Maximum segment length``  ``int` `seg_len = s.length() - k;`` ` `  ``// Find value of first segment of seg_len``  ``int` `res = 0;``  ``for` `(``int` `i=0; i

## Java

 `// Java program to find the maximum segment``// value after putting k breaks.``class` `GFG {``     ` `    ``// Function to Find Maximum Number``    ``static` `int` `findMaxSegment(String s, ``int` `k) {``     ` `        ``// Maximum segment length``        ``int` `seg_len = s.length() - k;``     ` `        ``// Find value of first segment of seg_len``        ``int` `res = ``0``;``         ` `        ``for` `(``int` `i = ``0``; i < seg_len; i++)``            ``res = res * ``10` `+ (s.charAt(i) - ``'0'``);``     ` `        ``// Find value of remaining segments using ``        ``// sliding window``        ``int` `seg_len_pow = (``int``)Math.pow(``10``,``                                    ``seg_len - ``1``);``        ``int` `curr_val = res;``         ` `        ``for` `(``int` `i = ``1``; ``             ``i <= (s.length() - seg_len); i++) {``     ` `            ``// To find value of current segment, ``            ``// first remove leading digit from ``            ``// previous value``            ``curr_val = curr_val - ``            ``(s.charAt(i - ``1``) - ``'0'``) * seg_len_pow;``         ` `            ``// Then add trailing digit``            ``curr_val = curr_val * ``10` `+ ``               ``(s.charAt(i + seg_len - ``1``) - ``'0'``);``         ` `            ``res = Math.max(res, curr_val);``        ``}``         ` `        ``return` `res;``    ``}``     ` `    ``// Driver code``    ``public` `static` `void` `main(String[] args) {``         ` `        ``String s = ``"8754"``;``        ``int` `k = ``2``;``         ` `        ``System.out.print(``"Maximum number = "``                        ``+ findMaxSegment(s, k));``    ``}``}`` ` `// This code is contributed by Anant Agarwal.`

## Python3

 `# Python3 program to find the maximum segment ``# value after putting k breaks. `` ` `# Function to Find Maximum Number ``def` `findMaxSegment(s, k):`` ` `    ``# Maximum segment length ``    ``seg_len ``=` `len``(s) ``-` `k `` ` `    ``# Find value of first segment of seg_len ``    ``res ``=` `0``    ``for` `i ``in` `range``(seg_len):``        ``res ``=` `res ``*` `10` `+` `(``ord``(s[i]) ``-` `ord``(``'0'``)) `` ` `    ``# Find value of remaining segments``    ``# using sliding window ``    ``seg_len_pow ``=` `pow``(``10``, seg_len ``-` `1``) ``    ``curr_val ``=` `res ``    ``for` `i ``in` `range``(``1``, ``len``(s) ``-` `seg_len):`` ` `        ``# To find value of current segment, ``        ``# first remove leading digit from ``        ``# previous value     ``        ``curr_val ``=` `curr_val ``-` `(``ord``(s[i ``-` `1``])``-` `                               ``ord``(``'0'``)) ``*` `seg_len_pow `` ` `        ``# Then add trailing digit ``        ``curr_val ``=` `(curr_val ``*` `10` `+` `                   ``(``ord``(s[i ``+` `seg_len ``-` `1``]) ``-` `ord``(``'0'``))) `` ` `        ``res ``=` `max``(res, curr_val)``    ``return` `res`` ` `# Driver Code``if` `__name__ ``=``=` `'__main__'``:``    ``s ``=` `"8754"``    ``k ``=` `2``    ``print``(``"Maximum number = "``,``         ``findMaxSegment(s, k))`` ` `# This code is contributed by PranchalK`

## C#

 `// C# program to find the maximum segment``// value after putting k breaks.``using` `System;`` ` `class` `GFG {``     ` `    ``// Function to Find Maximum Number``    ``static` `int` `findMaxSegment(``string` `s, ``int` `k) {``     ` `        ``// Maximum segment length``        ``int` `seg_len = s.Length - k;``     ` `        ``// Find value of first segment of seg_len``        ``int` `res = 0;``         ` `        ``for` `(``int` `i = 0; i < seg_len; i++)``            ``res = res * 10 + (s[i] - ``'0'``);``     ` `        ``// Find value of remaining segments using ``        ``// sliding window``        ``int` `seg_len_pow = (``int``)Math.Pow(10,``                                    ``seg_len - 1);``        ``int` `curr_val = res;``         ` `        ``for` `(``int` `i = 1; ``            ``i <= (s.Length- seg_len); i++) {``     ` `            ``// To find value of current segment, ``            ``// first remove leading digit from ``            ``// previous value``            ``curr_val = curr_val - ``            ``(s[i - 1] - ``'0'``) * seg_len_pow;``         ` `            ``// Then add trailing digit``            ``curr_val = curr_val * 10 + ``            ``(s[i + seg_len - 1] - ``'0'``);``         ` `            ``res = Math.Max(res, curr_val);``        ``}``         ` `        ``return` `res;``    ``}``     ` `    ``// Driver code``    ``public` `static` `void` `Main() {``         ` `        ``String s = ``"8754"``;``        ``int` `k = 2;``         ` `        ``Console.WriteLine(``"Maximum number = "``                        ``+ findMaxSegment(s, k));``    ``}``}`` ` `// This code is contributed by vt_m.`
Output:
```Maximum number = 87
```

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