给定一个由N 个不同整数组成的数组arr[] ,任务是用数组的所有其他剩余元素中的最小元素替换每个元素。
例子:
Input: arr[] = { 4, 2, 1, 3 }
Output: arr[]= { 1, 1, 2, 1 }
Explanation:
For arr[0], the smallest out of the remaining elements is 1. So arr[0] is replaced by 1.
For arr[1], the smallest out of the remaining elements is 1. So arr[1] is replaced by 1.
For arr[2], the smallest out of the remaining elements is 2. So arr[2] is replaced by 2.
For arr[3], the smallest out of the remaining elements is 1. So arr[3] is replaced by 1.
Input: arr[] = { 1, 5, 2, 4 }
Output: arr[] = { 2, 1, 1, 1 }
天真的方法:
运行嵌套循环并为每个元素找到所有其他元素中最小的并存储它们。
时间复杂度: O(N 2 )
有效的方法:
- 遍历数组并找到数组中最小的两个元素。
- 再次遍历数组,现在用第二小的元素替换最小的元素,并用最小的元素替换数组中的所有其他元素。
- 打印修改后的数组。
下面是上述方法的实现:
C++
// C# implementation to find the
// maximum array sum by concatenating
// corresponding elements of given two arrays
using System;
class GFG{
// Function to join the two numbers
static int joinNumbers(int numA, int numB)
{
int revB = 0;
// Loop to reverse the digits
// of the one number
while (numB > 0)
{
revB = revB * 10 + (numB % 10);
numB = numB / 10;
}
// Loop to join two numbers
while (revB > 0)
{
numA = numA * 10 + (revB % 10);
revB = revB / 10;
}
return numA;
}
// Function to find the maximum array sum
static int findMaxSum(int []A, int []B, int n)
{
int []maxArr = new int[n];
// Loop to iterate over the two
// elements of the array
for(int i = 0; i < n; ++i)
{
int X = joinNumbers(A[i], B[i]);
int Y = joinNumbers(B[i], A[i]);
int mx = Math.Max(X, Y);
maxArr[i] = mx;
}
// Find the array sum
int maxAns = 0;
for(int i = 0; i < n; i++)
{
maxAns += maxArr[i];
}
// Return the array sum
return maxAns;
}
// Driver Code
public static void Main(String []args)
{
int N = 5;
int []A = { 11, 23, 38, 43, 59 };
int []B = { 36, 24, 17, 40, 56 };
Console.WriteLine(findMaxSum(A, B, N));
}
}
// This code is contributed by Rajput-Ji
Java
// Java code for the above approach.
import java.util.*;
class GFG {
static void ReplaceElements(
int[] arr, int n)
{
// There should be atleast
// two elements
if (n < 2) {
System.out.println(
"Invalid Input");
return;
}
int firstSmallest
= Integer.MAX_VALUE;
int secondSmallest
= Integer.MAX_VALUE;
for (int i = 0; i < n; i++) {
// If current element is smaller
// than firstSmallest then update
// both firstSmallest
// and secondSmallest
if (arr[i] < firstSmallest) {
secondSmallest = firstSmallest;
firstSmallest = arr[i];
}
// If arr[i] is in between
// firstSmallest and secondSmallest
// then update secondSmallest
else if (arr[i] < secondSmallest
&& arr[i] != firstSmallest)
secondSmallest = arr[i];
}
// Replace every element by
// smallest of all other elements
for (int i = 0; i < n; i++) {
if (arr[i] != firstSmallest)
arr[i] = firstSmallest;
else
arr[i] = secondSmallest;
}
// Print the modified array.
for (int i = 0; i < n; ++i) {
System.out.print(arr[i]
+ ", ");
}
}
// Driver code
public static void main(
String[] args)
{
int arr[] = { 4, 2, 1, 3 };
int n = arr.length;
ReplaceElements(arr, n);
}
}
Python3
# Python3 code for the above approach.
def ReplaceElements(arr, n):
# There should be atleast
# two elements
if (n < 2):
print("Invalid Input")
return
firstSmallest = 10 ** 18
secondSmallest = 10 ** 18
for i in range(n):
# If current element is smaller
# than firstSmallest then update
# both firstSmallest
# and secondSmallest
if (arr[i] < firstSmallest):
secondSmallest = firstSmallest
firstSmallest = arr[i]
# If arr[i] is in between
# firstSmallest and secondSmallest
# then update secondSmallest
elif (arr[i] < secondSmallest and
arr[i] != firstSmallest):
secondSmallest = arr[i]
# Replace every element by
# smallest of all other elements
for i in range(n):
if (arr[i] != firstSmallest):
arr[i] = firstSmallest
else:
arr[i] = secondSmallest
# Print the modified array.
for i in arr:
print(i, end = ", ")
# Driver code
if __name__ == '__main__':
arr= [ 4, 2, 1, 3 ]
n = len(arr)
ReplaceElements(arr, n)
# This code is contributed by mohit kumar 29
C#
// C# code for the above approach.
using System;
class GFG{
static void ReplaceElements(int[] arr, int n)
{
// There should be atleast
// two elements
if (n < 2)
{
Console.Write("Invalid Input");
return;
}
int firstSmallest = Int32.MaxValue;
int secondSmallest = Int32.MaxValue;
for(int i = 0; i < n; i++)
{
// If current element is smaller
// than firstSmallest then update
// both firstSmallest
// and secondSmallest
if (arr[i] < firstSmallest)
{
secondSmallest = firstSmallest;
firstSmallest = arr[i];
}
// If arr[i] is in between
// firstSmallest and secondSmallest
// then update secondSmallest
else if (arr[i] < secondSmallest &&
arr[i] != firstSmallest)
secondSmallest = arr[i];
}
// Replace every element by
// smallest of all other elements
for(int i = 0; i < n; i++)
{
if (arr[i] != firstSmallest)
arr[i] = firstSmallest;
else
arr[i] = secondSmallest;
}
// Print the modified array.
for(int i = 0; i < n; ++i)
{
Console.Write(arr[i] + ", ");
}
}
// Driver code
public static void Main()
{
int []arr = { 4, 2, 1, 3 };
int n = arr.Length;
ReplaceElements(arr, n);
}
}
// This code is contributed by Nidhi_Biet
1, 1, 2, 1,
时间复杂度: O(N)
空间复杂度: O(1)
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