📜  排序数组中距离字符K最近的小字符

📅  最后修改于: 2021-05-14 01:57:34             🧑  作者: Mango

给定字符arr []和字符K的排序数组,任务是从给定数组中找到ASCII值比K最接近的字符。如果未发现ASCII值小于K的字符,则打印-1
例子:

天真的方法:
解决该问题的最简单方法是遍历数组,并找到具有比K的ASCII值小的ASCII值的字符,并且它们的ASCII值之差最小。
时间复杂度: O(N)
辅助空间: O(1)

高效方法:
这个想法是使用Binary Search来查找楼板元素(最大的字符刚好小于键)。请按照以下步骤解决问题:

  • 在阵列上执行二进制搜索。
  • 检查当前的中间元素( mid )是否等于字符K。
  • 如果是这样,则将start设置为mid – 1 ,因为我们需要找到更小的元素。
  • 如果arr [mid]小于K ,则将其存储在某个变量中,例如ch 。将start设置为mid +1,以搜索更接近K的较小字符。
  • 否则,将end设置为mid-1
  • Kepp重复上述步骤。最后,打印完成搜索后获得的字符。如果未获得任何字符,则打印-1

下面是上述方法的实现:

C++
// C++ Program to implement
// the above approach
#include 
using namespace std;
  
// Function to return the
// nearest smaller charcter
char bs(char ar[], int n, int ele)
{
    int start = 0;
    int end = n - 1;
  
    // Stores the nearest smaller
    // character
    char ch = '@';
  
    // Iterate till starts cross end
    while (start <= end) {
  
        // Find the mid element
        int mid = start + (end - start) / 2;
  
        // Check if K is found
        if (ar[mid] == ele)
            end = mid - 1;
  
        // Check if current character
        // is less than K
        else if (ar[mid] < ele) {
            ch = ar[mid];
  
            // Increment the start
            start = mid + 1;
        }
  
        // Otherwise
        else
  
            // Increment end
            end = mid - 1;
    }
    // Return the character
    return ch;
}
  
// Driver Code
int main()
{
    char ar[] = { 'e', 'g', 't', 'y' };
    int n = sizeof(ar) / sizeof(ar[0]);
  
    char K = 'u';
  
    char ch = bs(ar, n, K);
  
    if (ch == '@')
        cout << "-1";
    else
        cout << ch;
  
    return 0;
}


Java
// Java program to implement
// the above approach
import java.util.*;
  
class GFG{
  
// Function to return the
// nearest smaller charcter
static char bs(char ar[], int n, int ele)
{
    int start = 0;
    int end = n - 1;
  
    // Stores the nearest smaller
    // character
    char ch = '@';
  
    // Iterate till starts cross end
    while (start <= end) 
    {
  
        // Find the mid element
        int mid = start + (end - start) / 2;
  
        // Check if K is found
        if (ar[mid] == ele)
            end = mid - 1;
  
        // Check if current character
        // is less than K
        else if (ar[mid] < ele) 
        {
            ch = ar[mid];
  
            // Increment the start
            start = mid + 1;
        }
  
        // Otherwise
        else
  
            // Increment end
            end = mid - 1;
    }
      
    // Return the character
    return ch;
}
  
// Driver Code
public static void main(String[] args)
{
    char ar[] = { 'e', 'g', 't', 'y' };
    int n = ar.length;
  
    char K = 'u';
  
    char ch = bs(ar, n, K);
  
    if (ch == '@')
        System.out.print("-1");
    else
        System.out.print(ch);
}
}
  
// This code is contributed by 29AjayKumar


Python3
# Python3 program to implement
# the above approach
  
# Function to return the
# nearest smaller charcter
def bs(a, n, ele):
      
    start = 0
    end = n - 1
      
    # Stores the nearest smaller
    # character
    ch = '@'
      
    # Iterate till starts cross end
    while (start <= end):
          
        # Find the mid element
        mid = start + (end - start) // 2;
  
        # Check if K is found
        if(ar[mid] == ele):
            end = mid - 1
              
        # Check if current character
        # is less than K
        elif(ar[mid] < ele):
            ch = ar[mid]
              
            # Increment the start
            start = mid + 1;
          
        # Otherwise
        else:
              
            # Increment end
            end = mid - 1;
              
    # Return the character
    return ch
  
# Driver code
if __name__=='__main__':
      
    ar = [ 'e', 'g', 't', 'y' ]
    n = len(ar)
    K = 'u';
  
    ch = bs(ar, n, K);
  
    if (ch == '@'):
        print('-1')
    else:
        print(ch)
          
# This code is contributed by rutvik_56


C#
// C# program to implement
// the above approach
using System;
  
class GFG{
  
// Function to return the
// nearest smaller charcter
static char bs(char []ar, int n, int ele)
{
    int start = 0;
    int end = n - 1;
  
    // Stores the nearest smaller
    // character
    char ch = '@';
  
    // Iterate till starts cross end
    while (start <= end) 
    {
  
        // Find the mid element
        int mid = start + (end - start) / 2;
  
        // Check if K is found
        if (ar[mid] == ele)
            end = mid - 1;
  
        // Check if current character
        // is less than K
        else if (ar[mid] < ele) 
        {
            ch = ar[mid];
  
            // Increment the start
            start = mid + 1;
        }
  
        // Otherwise
        else
  
            // Increment end
            end = mid - 1;
    }
      
    // Return the character
    return ch;
}
  
// Driver Code
public static void Main(String[] args)
{
    char []ar = { 'e', 'g', 't', 'y' };
    int n = ar.Length;
  
    char K = 'u';
    char ch = bs(ar, n, K);
  
    if (ch == '@')
        Console.Write("-1");
    else
        Console.Write(ch);
}
}
  
// This code is contributed by 29AjayKumar


输出:
t

时间复杂度: O(logN)
辅助空间: O(1)