给定两个数组arr1 []和arr2 [],它们由N个正整数和偶数K组成,任务是检查两个数组中相同索引元素的和是否在[K / 2,K]范围内是否重新排列给定的数组。如果有可能获得这样的安排,则打印“是” 。否则,打印“否” 。
例子:
Input: arr1[] = {1, 4, 3, 5}, arr2[] = {0, 2, 1, 1}, K = 6
Output: Yes
Explanation: Rearranging arr1[] to {1, 4, 3, 5} and arr2[] to {2, 0, 1, 1} ensures that the sum of same indexed elements lie in the range [3, 6]. Therefore, print “Yes”.
Input: arr1[] = {2, 0}, arr2[] = {3, 4}, K = 2
Output: No
Explanation: No such arrangement is possible
天真的方法:最简单的方法来生成给定数组的所有可能排列,并检查是否有任何可能的排列满足给定条件。如果发现是真的,则打印“是” 。否则,打印“否” 。
时间复杂度: O((N!) 2 )
辅助空间: O(1)
高效方法:要优化上述方法,请按照以下步骤解决问题:
- 以递增顺序对数组arr1 []进行排序。
- 以降序对数组arr2 []进行排序。
- 遍历数组,并检查元素irr [1]和arr2 [i]的和是否等于[0,N – 1]范围内i的所有可能值,是否位于[K / 2,K]范围内。如果发现是真的,则打印“是”。否则,打印“否”。
下面是上述方法的实现:
C++
// C++ program for the above approach
#include
using namespace std;
// Function to check if there exists any
// arrangements of the arrays such that
// sum of element lie in the range [K/2, K]
void checkArrangement(int A1[], int A2[],
int n, int k)
{
// Sort the array arr1[] in
// increasing order
sort(A1, A1 + n);
// Sort the array arr2[] in
// decreasing order
sort(A2, A2 + n, greater());
int flag = 0;
// Traverse the array
for (int i = 0; i < n; i++) {
// If condition is not satisfied
// break the loop
if ((A1[i] + A2[i] > k)
|| (A1[i] + A2[i] < k / 2)) {
flag = 1;
break;
}
}
// Print the result
if (flag == 1)
cout << "No";
else
cout << "Yes";
}
// Driver Code
int main()
{
int arr1[] = { 1, 3, 4, 5 };
int arr2[] = { 2, 0, 1, 1 };
int K = 6;
int N = sizeof(arr1)
/ sizeof(arr1[0]);
checkArrangement(arr1, arr2, N, K);
return 0;
}
Java
// Java program for the above approach
import java.io.*;
import java.util.*;
class GFG{
// Function to check if there exists any
// arrangements of the arrays such that
// sum of element lie in the range [K/2, K]
static void checkArrangement(Integer[] A1,
Integer[] A2,
int n, int k)
{
// Sort the array arr1[] in
// increasing order
Arrays.sort(A1);
// Sort the array arr2[] in
// decreasing order
Arrays.sort(A2, Collections.reverseOrder());
int flag = 0;
// Traverse the array
for(int i = 0; i < n; i++)
{
// If condition is not satisfied
// break the loop
if ((A1[i] + A2[i] > k) ||
(A1[i] + A2[i] < k / 2))
{
flag = 1;
break;
}
}
// Print the result
if (flag == 1)
System.out.println("No");
else
System.out.println("Yes");
}
// Driver Code
public static void main(String[] args)
{
Integer[] arr1 = { 1, 3, 4, 5 };
Integer[] arr2 = { 2, 0, 1, 1 };
int K = 6;
int N = arr1.length;
checkArrangement(arr1, arr2, N, K);
}
}
// This code is contributed by akhilsaini
Python3
# Python3 program for the above approach
# Function to check if there exists any
# arrangements of the arrays such that
# sum of element lie in the range [K/2, K]
def checkArrangement(A1, A2, n, k):
# Sort the array arr1[] in
# increasing order
A1 = sorted(A1)
# Sort the array arr2[] in
# decreasing order
A2 = sorted(A2)
A2 = A2[::-1]
flag = 0
# Traverse the array
for i in range(n):
# If condition is not satisfied
# break the loop
if ((A1[i] + A2[i] > k) or
(A1[i] + A2[i] < k // 2)):
flag = 1
break
# Print the result
if (flag == 1):
print("No")
else:
print("Yes")
# Driver Code
if __name__ == '__main__':
arr1 = [ 1, 3, 4, 5 ]
arr2 = [ 2, 0, 1, 1 ]
K = 6
N = len(arr1)
checkArrangement(arr1, arr2, N, K)
# This code is contributed by mohit kumar 29
C#
// C# program for the above approach
using System;
using System.Collections;
class GFG{
// Function to check if there exists any
// arrangements of the arrays such that
// sum of element lie in the range [K/2, K]
static void checkArrangement(int[] A1, int[] A2,
int n, int k)
{
// Sort the array arr1[] in
// increasing order
Array.Sort(A1);
// Sort the array arr2[] in
// decreasing order
Array.Sort(A2);
Array.Reverse(A2);
int flag = 0;
// Traverse the array
for(int i = 0; i < n; i++)
{
// If condition is not satisfied
// break the loop
if ((A1[i] + A2[i] > k) ||
(A1[i] + A2[i] < k / 2))
{
flag = 1;
break;
}
}
// Print the result
if (flag == 1)
Console.WriteLine("No");
else
Console.WriteLine("Yes");
}
// Driver Code
public static void Main()
{
int[] arr1 = { 1, 3, 4, 5 };
int[] arr2 = { 2, 0, 1, 1 };
int K = 6;
int N = arr1.Length;
checkArrangement(arr1, arr2, N, K);
}
}
// This code is contributed by akhilsaini
Javascript
输出:
Yes
时间复杂度: O(N * log N)
辅助空间: O(1)