给定大小为’n’的数组arr []和正整数k。考虑一系列自然数,并从中删除arr [0],arr [1],arr [2],…,arr [n-1]。现在的任务是在剩余的自然数集中找到第k个最小的数。
例子:
Input : arr[] = { 1 } and k = 1.
Output: 2
Natural numbers are {1, 2, 3, 4, .... }
After removing {1}, we get {2, 3, 4, ...}.
Now, K-th smallest element = 2.
Input : arr[] = {1, 3}, k = 4.
Output : 6
First 5 Natural number {1, 2, 3, 4, 5, 6, .. }
After removing {1, 3}, we get {2, 4, 5, 6, ... }.
本文讨论了2种方法。
这篇文章讨论了另一种方法。
算法:
- 开始遍历数组,因为i的范围是0到N-1
- 如果arr [i] k,然后递增k。其他突破遍历数组的其余部分
- 获得的k是最终答案
C++
// C++ program to find the K-th smallest element
// after removing some integers from natural number.
#include
using namespace std;
// Return the K-th smallest element.
int ksmallest(int arr[], int n, int k)
{
for (int i = 0; i < n; i++) {
if (arr[i] <= k)
k++;
else
break;
}
return k;
}
// Driven Program
int main()
{
int k = 1;
int arr[] = { 1 };
int n = sizeof(arr) / sizeof(arr[0]);
cout << ksmallest(arr, n, k);
return 0;
}
Java
// Java program to find the
// K-th smallest element
// after removing some
// integers from natural number.
class GFG
{
// Return the K-th
// smallest element.
static int ksmallest(int arr[],
int n, int k)
{
for (int i = 0; i < n; i++)
{
if (arr[i] <= k)
k++;
else
break;
}
return k;
}
// Driver Code
public static void main(String args[])
{
int k = 1;
int arr[] = { 1 };
int n = arr.length;
System.out.println(ksmallest(arr, n, k));
}
}
// This code is contributed
// by Arnab Kundu
Python3
# Python3 program to find
# the K-th smallest element
# after removing some integers
# from natural number.
# Return the K-th
# smallest element.
def ksmallest(arr, n, k):
for i in range(n):
if (arr[i] <= k):
k = k + 1;
else:
break;
return k;
# Driver Code
k = 1;
arr = [1];
n = len(arr);
print(ksmallest(arr, n, k));
# This code is contributed by mits
C#
// C# program to find the
// K-th smallest element
// after removing some
// integers from natural number.
using System;
class GFG
{
// Return the K-th
// smallest element.
static int ksmallest(int []arr,
int n, int k)
{
for (int i = 0; i < n; i++)
{
if (arr[i] <= k)
k++;
else
break;
}
return k;
}
// Driver Code
static public void Main ()
{
int k = 1;
int []arr = { 1 };
int n = arr.Length;
Console.WriteLine(ksmallest(arr,
n, k));
}
}
// This code is contributed @ajit
PHP
输出:
2