使数组的所有元素相同的最小删除操作
原文:https://www.geeksforgeeks.org/minimum-delete-operations-make-elements-array/
给定n
个元素的数组,以便元素可以重复。 我们可以从数组中删除任意数量的元素。 任务是找到要从数组中删除的元素的最小数量,以使其相等。
示例:
Input: arr[] = {4, 3, 4, 4, 2, 4}
Output: 2
After deleting 2 and 3 from array, array becomes
arr[] = {4, 4, 4, 4}
Input: arr[] = {1, 2, 3, 4, 5}
Output: 4
We can delete any four elements from array.
在这个问题上,我们需要最小化删除操作。 该方法很简单,我们计算数组中每个元素的频率,然后在计数数组中找到最频繁的元素的频率。 将此频率设为max_freq
。 要获取要从数组中删除的最小元素数,请计算n – max_freq
,其中n
是给定数组中的元素数。
C++
// C++ program to find minimum
// number of deletes required
// to make all elements same.
#include <bits/stdc++.h>
using namespace std;
// Function to get minimum number of elements to be deleted
// from array to make array elements equal
int minDelete(int arr[], int n)
{
// Create an hash map and store frequencies of all
// array elements in it using element as key and
// frequency as value
unordered_map<int, int> freq;
for (int i = 0; i < n; i++)
freq[arr[i]]++;
// Find maximum frequency among all frequencies.
int max_freq = INT_MIN;
for (auto itr = freq.begin(); itr != freq.end(); itr++)
max_freq = max(max_freq, itr->second);
// To minimize delete operations, we remove all
// elements but the most frequent element.
return n - max_freq;
}
// Driver program to run the case
int main()
{
int arr[] = { 4, 3, 4, 4, 2, 4 };
int n = sizeof(arr) / sizeof(arr[0]);
cout << minDelete(arr, n);
return 0;
}
Java
// Java program to find minimum number
// of deletes required to make all
// elements same.
import java.util.*;
class GFG{
// Function to get minimum number of
// elements to be deleted from array
// to make array elements equal
static int minDelete(int arr[], int n)
{
// Create an hash map and store
// frequencies of all array elements
// in it using element as key and
// frequency as value
HashMap<Integer, Integer> freq = new HashMap<>();
for(int i = 0; i < n; i++)
freq.put(arr[i], freq.getOrDefault(arr[i], 0) + 1);
// Find maximum frequency among all frequencies.
int max_freq = Integer.MIN_VALUE;
for(Map.Entry<Integer,
Integer> entry : freq.entrySet())
max_freq = Math.max(max_freq,
entry.getValue());
// To minimize delete operations,
// we remove all elements but the
// most frequent element.
return n - max_freq ;
}
// Driver code
public static void main(String[] args)
{
int arr[] = { 4, 3, 4, 4, 2, 4 };
int n = arr.length;
System.out.print(minDelete(arr, n));
}
}
// This code is contributed by amal kumar choubey and corrected by Leela Kotte
Python3
# Python3 program to find minimum
# number of deletes required to
# make all elements same.
# Function to get minimum number
# of elements to be deleted from
# array to make array elements equal
def minDelete(arr, n):
# Create an dictionary and store
# frequencies of all array
# elements in it using
# element as key and
# frequency as value
freq = {}
for i in range(n):
if arr[i] in freq:
freq[arr[i]] += 1
else:
freq[arr[i]] = 1;
# Find maximum frequency
# among all frequencies.
max_freq = 0;
for i, j in freq.items():
max_freq = max(max_freq, j);
# To minimize delete operations,
# we remove all elements but the
# most frequent element.
return n - max_freq;
# Driver code
arr = [ 4, 3, 4, 4, 2, 4 ];
n = len(arr)
print(minDelete(arr, n));
# This code is contributed by grand_master
C
// C# program to find minimum number
// of deletes required to make all
// elements same.
using System;
using System.Collections.Generic;
class GFG {
// Function to get minimum number of
// elements to be deleted from array
// to make array elements equal
static int minDelete(int[] arr, int n)
{
// Create an hash map and store
// frequencies of all array elements
// in it using element as key and
// frequency as value
Dictionary<int, int> freq
= new Dictionary<int, int>();
for (int i = 0; i < n; i++)
if (freq.ContainsKey(arr[i]))
{
freq[arr[i]] = freq[arr[i]] + 1;
}
else
{
freq.Add(arr[i], 1);
}
// Find maximum frequency among all frequencies.
int max_freq = int.MinValue;
foreach(KeyValuePair<int, int> entry in freq)
max_freq = Math.Max(max_freq, entry.Value);
// To minimize delete operations,
// we remove all elements but the
// most frequent element.
return n - max_freq + 1;
}
// Driver code
public static void Main(String[] args)
{
int[] arr = {4, 3, 4, 4, 2, 4};
int n = arr.Length;
Console.Write(minDelete(arr, n));
}
}
// This code is contributed by Amit Katiyar
输出:
2
时间复杂度:O(n)
。
注意:在这里,我们可以优化多余的空间以将每个元素的频率计数为O(1)
,但是为此,我们必须修改原始数组。 请参阅这篇文章。
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