找出排序数组中每个元素的频率
给定一个由 N 个整数组成的排序的数组、 arr[] ,任务是找到每个数组元素的频率。
示例:
输入: arr[] = {1,1,1,2,3,3,5,5,8,8,8,9,9,10} 输出:频率 1 为:3 频率 2 为:1 频率 3 为:2 频率 5 为:2 频率 8 为:3 频率 9 为:2 频率 10 为:1
输入: arr[] = {2,2,6,6,7,7,11} 输出:2 的频率为:2 6 的频率为:2 7 的频率为:3 11 的频率为:1
天真法:最简单的方法是遍历数组并保留在 HashMap 中遇到的每个元素的计数,最后通过遍历 HashMap 打印每个元素的频率。这个办法已经在这里实行了。
时间复杂度:O(N) T5辅助空间:** O(N)
高效方法:上述方法可以根据使用的空间进行优化,这是基于这样一个事实,即在排序的数组中,相同的元素连续出现,因此想法是在遍历数组时维护一个变量来跟踪元素的频率。按照以下步骤解决问题:
- 初始化一个变量,说 freq 为 1 存储元素的频率。
- 使用变量 i 在范围【1,N-1】中迭代,并执行以下步骤:
- 如果 arr[i] 的值等于 arr[i-1] ,则将 freq 增加 1 。
- 否则打印在频率中获得的arr【I-1】的频率值,然后将频率更新为 1 。
- 最后,在上述步骤之后,将数组最后一个不同元素的频率打印为 freq 。
下面是上述方法的实现:
C++
// C++ program for the above approach
#include <bits/stdc++.h>
using namespace std;
// Function to print the frequency
// of each element of the sorted array
void printFreq(vector<int> &arr, int N)
{
// Stores the frequency of an element
int freq = 1;
// Traverse the array arr[]
for (int i = 1; i < N; i++)
{
// If the current element is equal
// to the previous element
if (arr[i] == arr[i - 1])
{
// Increment the freq by 1
freq++;
}
// Otherwise,
else {
cout<<"Frequency of "<<arr[i - 1]<< " is: " << freq<<endl;
// Update freq
freq = 1;
}
}
// Print the frequency of the last element
cout<<"Frequency of "<<arr[N - 1]<< " is: " << freq<<endl;
}
// Driver Code
int main()
{
// Given Input
vector<int> arr
= { 1, 1, 1, 2, 3, 3, 5, 5,
8, 8, 8, 9, 9, 10 };
int N = arr.size();
// Function Call
printFreq(arr, N);
return 0;
}
// This code is contributed by codersaty
Java 语言(一种计算机语言,尤用于创建网站)
// Java program for the above approach
import java.io.*;
import java.lang.*;
import java.util.*;
class GFG {
// Function to print the frequency
// of each element of the sorted array
static void printFreq(int arr[], int N)
{
// Stores the frequency of an element
int freq = 1;
// Traverse the array arr[]
for (int i = 1; i < N; i++) {
// If the current element is equal
// to the previous element
if (arr[i] == arr[i - 1]) {
// Increment the freq by 1
freq++;
}
// Otherwise,
else {
System.out.println("Frequency of "
+ arr[i - 1]
+ " is: " + freq);
// Update freq
freq = 1;
}
}
// Print the frequency of the last element
System.out.println("Frequency of "
+ arr[N - 1]
+ " is: " + freq);
}
// Driver Code
public static void main(String args[])
{
// Given Input
int arr[]
= { 1, 1, 1, 2, 3, 3, 5, 5,
8, 8, 8, 9, 9, 10 };
int N = arr.length;
// Function Call
printFreq(arr, N);
}
}
Python 3
# Python3 program for the above approach
# Function to print the frequency
# of each element of the sorted array
def printFreq(arr, N):
# Stores the frequency of an element
freq = 1
# Traverse the array arr[]
for i in range(1, N, 1):
# If the current element is equal
# to the previous element
if (arr[i] == arr[i - 1]):
# Increment the freq by 1
freq += 1
# Otherwise,
else:
print("Frequency of",arr[i - 1],"is:",freq)
# Update freq
freq = 1
# Print the frequency of the last element
print("Frequency of",arr[N - 1],"is:",freq)
# Driver Code
if __name__ == '__main__':
# Given Input
arr = [1, 1, 1, 2, 3, 3, 5, 5,8, 8, 8, 9, 9, 10]
N = len(arr)
# Function Call
printFreq(arr, N)
# This code is contributed by ipg2016107.
C
// C# program for the above approach
using System;
public class GFG{
// Function to print the frequency
// of each element of the sorted array
static void printFreq(int[] arr, int N)
{
// Stores the frequency of an element
int freq = 1;
// Traverse the array arr[]
for (int i = 1; i < N; i++)
{
// If the current element is equal
// to the previous element
if (arr[i] == arr[i - 1])
{
// Increment the freq by 1
freq++;
}
// Otherwise,
else {
Console.WriteLine("Frequency of " + arr[i - 1] + " is: " + freq);
// Update freq
freq = 1;
}
}
// Print the frequency of the last element
Console.WriteLine("Frequency of " + arr[N - 1] + " is: " + freq);
}
// Driver Code
static public void Main (){
// Given Input
int[] arr = { 1, 1, 1, 2, 3, 3, 5, 5,
8, 8, 8, 9, 9, 10 };
int N = arr.Length;
// Function Call
printFreq(arr, N);
}
}
// This code is contributed by Dharanendra L V.
java 描述语言
<script>
// JavaScript program for the above approach
// Function to print the frequency
// of each element of the sorted array
function printFreq(arr, N)
{
// Stores the frequency of an element
let freq = 1;
// Traverse the array arr[]
for(let i = 1; i < N; i++)
{
// If the current element is equal
// to the previous element
if (arr[i] == arr[i - 1])
{
// Increment the freq by 1
freq++;
}
// Otherwise,
else
{
document.write("Frequency of " +
parseInt(arr[i - 1]) + " is: " +
parseInt(freq) + "<br>");
// Update freq
freq = 1;
}
}
// Print the frequency of the last element
document.write("Frequency of " +
parseInt(arr[N - 1]) + " is: " +
parseInt(freq) + "<br>");
}
// Driver Code
// Given Input
let arr = [ 1, 1, 1, 2, 3, 3, 5, 5,
8, 8, 8, 9, 9, 10 ];
let N = arr.length;
// Function Call
printFreq(arr, N);
// This code is contributed by Potta Lokesh
</script>
Output
Frequency of 1 is: 3
Frequency of 2 is: 1
Frequency of 3 is: 2
Frequency of 5 is: 2
Frequency of 8 is: 3
Frequency of 9 is: 2
Frequency of 10 is: 1
时间复杂度:O(N) T5辅助空间:** O(1)
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