Given an array, arr[] consisting of N integers, the task is to minimize the number of increments of array elements required to make all differences pairs of array elements even.
Examples:
Input: arr[] = {4, 1, 2}
Output: 1
Explanation:
Operation 1: Increment arr[1] by 1. The array arr[] modifies to {4, 2, 2}.
All pairs: [4, 2] → difference = 2
[4, 2] → difference = 2
[2, 2] → difference = 0
Now, the pairwise differences between array elements is even. Hence, the answer is 1.Input: arr[] = {2, 4}
Output: 0
Explanation: Differences between all pairs of array elements is already even. Therefore, the answer is 0.
Recommended: Please try your approach on {IDE} first, before moving on to the solution.
Approach: The given problem can be solved by observing the fact that, to make the difference between all pairs of array elements even, both the elements must be of the same parity. Therefore, the idea is to convert all the array elements to either even numbers or odd numbers. The minimum number of increments is equal to the minimum of the count of even and odd array elements.
Below is the implementation of the above approach:
C++
// C++ program for the above approach
#include
using namespace std;
// Function to find the minimum increments
// required to difference between all
// pairs of array elements even
void // C++ program for the above approach0// C++ program for the above approach1 // C++ program for the above approach2// C++ program for the above approach1 // C++ program for the above approach4
// C++ program for the above approach5
// C++ program for the above approach6// C++ program for the above approach7
// C++ program for the above approach6// C++ program for the above approach9
// C++ program for the above approach6// C++ program for the above approach1 #include 2
// C++ program for the above approach6#include 4
// C++ program for the above approach6#include 6 #include 7// C++ program for the above approach1 #include 9
using0using1 using2
using3using4
using3using6
using0using8
using0namespace0 // C++ program for the above approach5
using3using4
using3namespace5
using0using8
// C++ program for the above approach6using8
// C++ program for the above approach6std;1
// C++ program for the above approach6std;3
// C++ program for the above approach6std;5
using8
std;7
// C++ program for the above approach1 std;9
// C++ program for the above approach5
// C++ program for the above approach6// C++ program for the above approach1 // Function to find the minimum increments3
// C++ program for the above approach6// C++ program for the above approach1 // Function to find the minimum increments6// Function to find the minimum increments7// Function to find the minimum increments8// Function to find the minimum increments7// required to difference between all0
// C++ program for the above approach6// required to difference between all2
// C++ program for the above approach6// required to difference between all4 // required to difference between all5
using8
Java
// required to difference between all7
// required to difference between all8 // required to difference between all9 // pairs of array elements even0
// C++ program for the above approach5
// pairs of array elements even2// Function to find the minimum increments
// pairs of array elements even2// required to difference between all
// pairs of array elements even2// pairs of array elements even
// pairs of array elements even2// pairs of array elements even9 void // C++ program for the above approach0// C++ program for the above approach1void3// C++ program for the above approach1 // C++ program for the above approach4
// pairs of array elements even2// C++ program for the above approach5
// C++ program for the above approach6// C++ program for the above approach7
// C++ program for the above approach6// C++ program for the above approach9
// C++ program for the above approach6// C++ program for the above approach1 // C++ program for the above approach04// C++ program for the above approach05// C++ program for the above approach06// C++ program for the above approach05// C++ program for the above approach08
// C++ program for the above approach6#include 4
// C++ program for the above approach6#include 6 #include 7// C++ program for the above approach1 // C++ program for the above approach15// C++ program for the above approach05// C++ program for the above approach17
// C++ program for the above approach6// C++ program for the above approach5
// C++ program for the above approach20using1 // C++ program for the above approach22// C++ program for the above approach23 // C++ program for the above approach24// C++ program for the above approach05// C++ program for the above approach26
// C++ program for the above approach20// C++ program for the above approach5
using0using4
using0using6
// C++ program for the above approach20using8
// C++ program for the above approach20namespace0
// C++ program for the above approach20// C++ program for the above approach5
using0// C++ program for the above approach40
using0namespace5
// C++ program for the above approach20using8
// C++ program for the above approach6using8
// C++ program for the above approach6std;1
// C++ program for the above approach6std;3
// C++ program for the above approach6// C++ program for the above approach52
// pairs of array elements even2// C++ program for the above approach54
// pairs of array elements even2// C++ program for the above approach56
// pairs of array elements even2// required to difference between all8 // pairs of array elements even9 void // C++ program for the above approach61
// pairs of array elements even2// C++ program for the above approach5
// C++ program for the above approach6// C++ program for the above approach1// C++ program for the above approach66// C++ program for the above approach67// C++ program for the above approach68// C++ program for the above approach69// C++ program for the above approach68// C++ program for the above approach23 // C++ program for the above approach72
// C++ program for the above approach6// C++ program for the above approach1 // C++ program for the above approach75
// C++ program for the above approach6// required to difference between all2
// pairs of array elements even2using8
using8
// C++ program for the above approach81
Python3
// C++ program for the above approach82
// C++ program for the above approach83
// C++ program for the above approach84
// C++ program for the above approach85
// C++ program for the above approach86 // C++ program for the above approach87
// C++ program for the above approach6
// C++ program for the above approach6// C++ program for the above approach90
// C++ program for the above approach6// C++ program for the above approach92
// C++ program for the above approach6// C++ program for the above approach94// C++ program for the above approach95 // C++ program for the above approach05
// C++ program for the above approach6// C++ program for the above approach98// C++ program for the above approach95 // C++ program for the above approach05
// C++ program for the above approach6#include 02
// C++ program for the above approach6#include 6 #include 05#include 06 #include 07#include 08
using0using1 #include 11#include 12 // C++ program for the above approach23 // C++ program for the above approach95// C++ program for the above approach95 // C++ program for the above approach05#include 17
using3#include 19
using3// C++ program for the above approach98#include 22// C++ program for the above approach95 // C++ program for the above approach69
using0
using0namespace0 #include 28
using3#include 19
using3// C++ program for the above approach94#include 22// C++ program for the above approach95 // C++ program for the above approach69
using0
// C++ program for the above approach6#include 38
// C++ program for the above approach6#include 40
// C++ program for the above approach6#include 42#include 7#include 44#include 45
#include 46
#include 47// C++ program for the above approach95 #include 49// C++ program for the above approach67// C++ program for the above approach68// C++ program for the above approach69// C++ program for the above approach68// C++ program for the above approach23 #include 55