用总和K最大化数组中相邻元素之间的绝对差之和

给定两个整数N和K ，任务是最大化长度为N的数组的相邻元素之间的绝对差之和和K。

例子：

Input: N = 5, K = 10
Output: 20
Explanation:
The array arr[] with sum 10 can be {0, 5, 0, 5, 0}, maximizing the sum of absolute difference of adjacent elements ( 5 + 5 + 5 + 5 = 20)

Input: N = 2, K = 10
Output: 10

方法：
要使相邻元素的总和最大化，请执行以下步骤：

• 如果N为2，则将K放在1个索引中，将0放在另一个索引中，则最大可能总和为K。
• 如果N为1，则最大可能总和始终为0。
• 对于N的所有其他值，答案将是2 * K。

  Illustration:
  For N = 3, the arrangement {0, K, 0} maximizes the sum of absolute difference between adjacent elements to 2 * K.
  For N = 4, the arrangement {0, K/2, 0, K/2} or {0, K, 0, 0} maximizes the required sum of absolute difference between adjacent elements to 2 * K.

下面是上述方法的实现：

C++

// C++ program to maximize the
// sum of absolute differences
// between adjacent elements
#include 
using namespace std;
  
// Function for maximising the sum
int maxAdjacentDifference(int N, int K)
{
    // Difference is 0 when only
    // one element is present
    // in array
    if (N == 1) {
        return 0;
    }
  
    // Difference is K when
    // two elements are
    // present in array
    if (N == 2) {
        return K;
    }
  
    // Otherwise
    return 2 * K;
}
  
// Driver code
int main()
{
  
    int N = 6;
    int K = 11;
  
    cout << maxAdjacentDifference(N, K);
  
    return 0;
}

Java

// Java program to maximize the
// sum of absolute differences
// between adjacent elements
import java.util.*;
  
class GFG{
  
// Function for maximising the sum
static int maxAdjacentDifference(int N, int K)
{
      
    // Difference is 0 when only
    // one element is present
    // in array
    if (N == 1)
    {
        return 0;
    }
  
    // Difference is K when
    // two elements are
    // present in array
    if (N == 2) 
    {
        return K;
    }
  
    // Otherwise
    return 2 * K;
}
  
// Driver code
public static void main(String[] args)
{
    int N = 6;
    int K = 11;
  
    System.out.print(maxAdjacentDifference(N, K));
}
}
  
// This code is contributed by 29AjayKumar

Python3

# Python3 program to maximize the
# sum of absolute differences
# between adjacent elements
  
# Function for maximising the sum
def maxAdjacentDifference(N, K):
  
    # Difference is 0 when only
    # one element is present
    # in array
    if (N == 1):
        return 0;
      
    # Difference is K when
    # two elements are
    # present in array
    if (N == 2):
        return K;
      
    # Otherwise
    return 2 * K;
  
# Driver code
N = 6;
K = 11;
print(maxAdjacentDifference(N, K));
  
# This code is contributed by Code_Mech

C#

// C# program to maximize the
// sum of absolute differences
// between adjacent elements
using System;
  
class GFG{
  
// Function for maximising the sum
static int maxAdjacentDifference(int N, int K)
{
      
    // Difference is 0 when only
    // one element is present
    // in array
    if (N == 1)
    {
        return 0;
    }
  
    // Difference is K when
    // two elements are
    // present in array
    if (N == 2) 
    {
        return K;
    }
  
    // Otherwise
    return 2 * K;
}
  
// Driver code
public static void Main(String[] args)
{
    int N = 6;
    int K = 11;
  
    Console.Write(maxAdjacentDifference(N, K));
}
}
  
// This code is contributed by 29AjayKumar

输出：

22

时间复杂度： O(1) 。