给定一个整数数组,请按升序对数组的前半部分进行排序,然后按降序对后半部分进行排序。
例子:
Input : arr[] = {10, 20, 30, 40}
Output : arr[] = {10, 20, 40, 30}
Input : arr[] = {5, 4, 6, 2, 1, 3, 8, 9, 7 }
Output : arr[] = {2, 4, 5, 6, 9, 8, 7, 3, 1 }
我们已经讨论了一种解决方案,该解决方案只按升序打印上半部分,然后按降序打印下半部分|套装1
简单方法
这个想法很简单,我们使用库函数按升序对前半部分进行排序,然后按降序对下半部分进行排序。像Java和C++这样的大多数语言都提供了按指定顺序对子数组进行排序的规定。在这篇文章中,讨论了修改原始数组的另一种解决方案。
C++
// C++ program to sort first half in increasing
// order and second half in decreasing
#include
using namespace std;
void mySort(int arr[], int n)
{
sort(arr, arr+n/2);
sort(arr+n/2, arr+n, greater());
}
int main()
{
int arr[] = { 5, 4, 6, 2, 1, 3, 8, 9, 7 };
int n = sizeof(arr)/sizeof(arr[0]);
mySort(arr, n);
cout << "Modified Array : \n";
for (int i=0; i
Java
// Java program to sort first half in increasing
// order and second half in decreasing
import java.util.*;
public class SortExample {
static void mySort(Integer[] arr)
{
int n = arr.length;
// Sort subarray from index 1 to 4, i.e.,
// only sort subarray {7, 6, 45, 21} and
// keep other elements as it is.
Arrays.sort(arr, 0, n / 2);
Arrays.sort(arr, n / 2, n, Collections.reverseOrder());
}
public static void main(String[] args)
{
// Our arr contains 8 elements
Integer[] arr = { 5, 4, 6, 2, 1, 3, 8, 9, 7 };
mySort(arr);
System.out.printf("Modified arr[] : %s",
Arrays.toString(arr));
}
}
Python 3
# Python3 program to sort first half in increasing
# order and second half in decreasing
# required sorting function
def mySort( arr, n):
arr1 = arr[:n//2]
arr2 = arr[n//2:]
arr1.sort()
arr2.sort(reverse=True)
return arr1+arr2
# driving function
if __name__=='__main__':
arr= [5, 4, 6, 2, 1, 3, 8, 9, 7 ]
n = len(arr)
arr=mySort(arr, n)
print( "Modified Array : ")
print(arr)
# this code is contributed by ash264
C#
// C# program to sort first half in increasing
// order and second half in decreasing
using System;
public class SortExample
{
static void mySort(int[] arr)
{
int n = arr.Length;
// Sort subarray from index 1 to 4, i.e.,
// only sort subarray {7, 6, 45, 21} and
// keep other elements as it is.
Array.Sort(arr, 0, n / 2);
Array.Sort(arr, n / 2, (n/2)+1);
Array.Reverse(arr, n / 2, (n/2)+1);
}
// Driver code
public static void Main(String[] args)
{
// Our arr contains 8 elements
int[] arr = { 5, 4, 6, 2, 1, 3, 8, 9, 7 };
mySort(arr);
Console.Write("Modified arr[] : {0}",
String.Join(" ",arr));
}
}
/* This code contributed by PrinciRaj1992 */
PHP
C++
// C++ program to sort first half in increasing
// order and second half in decreasing
#include
using namespace std;
void mySort(int arr[], int n)
{
// Sort the first half
sort(arr, arr+n/2);
sort(arr+n/2, arr+n);
reverse(arr+n/2, arr+n);
}
int main()
{
int arr[] = { 5, 4, 6, 2, 1, 3, 8, 9, 7 };
int n = sizeof(arr)/sizeof(arr[0]);
mySort(arr, n);
cout << "Modified Array : \n";
for (int i=0; i
Java
// Java program to sort first half in increasing
// order and second half in decreasing
import java.util.*;
public class SortExample {
static void mySort(Integer[] arr)
{
int n = arr.length;
// Sort the whole array
Arrays.sort(arr, 0, n/2);
Arrays.sort(arr, n/2, n);
// Reverse the second half
int low = n/2, high = n-1;
while (low < high)
{
Integer temp = arr[low];
arr[low] = arr[high];
arr[high] = temp;
low++; high--;
}
}
public static void main(String[] args)
{
// Our arr contains 8 elements
Integer[] arr = { 5, 4, 6, 2, 1, 3, 8, 9, 7 };
mySort(arr);
System.out.printf("Modified arr[] : %s",
Arrays.toString(arr));
}
}
Python3
# Python3 program to sort first half in increasing
# order and second half in decreasing
def mySort(arr):
n = len(arr);
# Sort the whole array
arr1 = arr[:n // 2]
arr2 = arr[n // 2:]
arr1.sort()
arr2.sort()
arr = arr1 + arr2
# Reverse the second half
low = n // 2;
high = n - 1;
while (low < high):
temp = arr[low];
arr[low] = arr[high];
arr[high] = temp;
low += 1;
high -= 1;
return arr;
# Driver code
if __name__ == '__main__':
# Our arr contains 8 elements
arr = [5, 4, 6, 2, 1, 3, 8, 9, 7];
arr = mySort(arr);
print("Modified Array : ")
print(arr)
# This code is contributed by 29AjayKumar
C#
// C# program to sort first half in increasing
// order and second half in decreasing
using System;
public class SortExample
{
static void mySort(int[] arr)
{
int n = arr.Length;
// Sort the whole array
Array.Sort(arr, 0, n/2);
Array.Sort(arr, n/2, n/2+1);
// Reverse the second half
int low = n/2, high = n-1;
while (low < high)
{
int temp = arr[low];
arr[low] = arr[high];
arr[high] = temp;
low++; high--;
}
}
// Driver code
public static void Main(String[] args)
{
// Our arr contains 8 elements
int[] arr = { 5, 4, 6, 2, 1, 3, 8, 9, 7 };
mySort(arr);
Console.WriteLine("Modified arr[] : {0}",
String.Join(", ",arr));
}
}
// This code has been contributed by 29AjayKumar
输出:
Modified array :
2 4 5 6 9 8 7 3 1
替代解决方案
1)以升序对整个数组进行排序。
2)排序后将后半部分反转。
C++
// C++ program to sort first half in increasing
// order and second half in decreasing
#include
using namespace std;
void mySort(int arr[], int n)
{
// Sort the first half
sort(arr, arr+n/2);
sort(arr+n/2, arr+n);
reverse(arr+n/2, arr+n);
}
int main()
{
int arr[] = { 5, 4, 6, 2, 1, 3, 8, 9, 7 };
int n = sizeof(arr)/sizeof(arr[0]);
mySort(arr, n);
cout << "Modified Array : \n";
for (int i=0; i
Java
// Java program to sort first half in increasing
// order and second half in decreasing
import java.util.*;
public class SortExample {
static void mySort(Integer[] arr)
{
int n = arr.length;
// Sort the whole array
Arrays.sort(arr, 0, n/2);
Arrays.sort(arr, n/2, n);
// Reverse the second half
int low = n/2, high = n-1;
while (low < high)
{
Integer temp = arr[low];
arr[low] = arr[high];
arr[high] = temp;
low++; high--;
}
}
public static void main(String[] args)
{
// Our arr contains 8 elements
Integer[] arr = { 5, 4, 6, 2, 1, 3, 8, 9, 7 };
mySort(arr);
System.out.printf("Modified arr[] : %s",
Arrays.toString(arr));
}
}
Python3
# Python3 program to sort first half in increasing
# order and second half in decreasing
def mySort(arr):
n = len(arr);
# Sort the whole array
arr1 = arr[:n // 2]
arr2 = arr[n // 2:]
arr1.sort()
arr2.sort()
arr = arr1 + arr2
# Reverse the second half
low = n // 2;
high = n - 1;
while (low < high):
temp = arr[low];
arr[low] = arr[high];
arr[high] = temp;
low += 1;
high -= 1;
return arr;
# Driver code
if __name__ == '__main__':
# Our arr contains 8 elements
arr = [5, 4, 6, 2, 1, 3, 8, 9, 7];
arr = mySort(arr);
print("Modified Array : ")
print(arr)
# This code is contributed by 29AjayKumar
C#
// C# program to sort first half in increasing
// order and second half in decreasing
using System;
public class SortExample
{
static void mySort(int[] arr)
{
int n = arr.Length;
// Sort the whole array
Array.Sort(arr, 0, n/2);
Array.Sort(arr, n/2, n/2+1);
// Reverse the second half
int low = n/2, high = n-1;
while (low < high)
{
int temp = arr[low];
arr[low] = arr[high];
arr[high] = temp;
low++; high--;
}
}
// Driver code
public static void Main(String[] args)
{
// Our arr contains 8 elements
int[] arr = { 5, 4, 6, 2, 1, 3, 8, 9, 7 };
mySort(arr);
Console.WriteLine("Modified arr[] : {0}",
String.Join(", ",arr));
}
}
// This code has been contributed by 29AjayKumar
输出:
Modified arr[] : [2, 4, 5, 6, 9, 8, 7, 3, 1]
两种方法的时间复杂度均为O(n Log n)