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📜  数组元素频率的范围查询

📅  最后修改于: 2021-10-27 09:02:22             🧑  作者: Mango

给定一个由 n 个非负整数组成的数组。任务是在 array[] 的任意范围内找到特定元素的频率。范围作为数组中的位置(不是基于 0 的索引)给出。可以有多个给定类型的查询。
例子:

Input  : arr[] = {2, 8, 6, 9, 8, 6, 8, 2, 11};
         left = 2, right = 8, element = 8
         left = 2, right = 5, element = 6      
Output : 3
         1
The element 8 appears 3 times in arr[left-1..right-1]
The element 6 appears 1 time in arr[left-1..right-1]

幼稚的方法:是从左到右遍历并在找到元素时更新计数变量。
以下是 Naive 方法的代码:-

C++
// C++ program to find total count of an element
// in a range
#include
using namespace std;
 
// Returns count of element in arr[left-1..right-1]
int findFrequency(int arr[], int n, int left,
                         int right, int element)
{
    int count = 0;
    for (int i=left-1; i<=right; ++i)
        if (arr[i] == element)
            ++count;
    return count;
}
 
// Driver Code
int main()
{
    int arr[] = {2, 8, 6, 9, 8, 6, 8, 2, 11};
    int n = sizeof(arr) / sizeof(arr[0]);
 
    // Print frequency of 2 from position 1 to 6
    cout << "Frequency of 2 from 1 to 6 = "
         << findFrequency(arr, n, 1, 6, 2) << endl;
 
    // Print frequency of 8 from position 4 to 9
    cout << "Frequency of 8 from 4 to 9 = "
         << findFrequency(arr, n, 4, 9, 8);
 
    return 0;
}


Java
// JAVA Code to find total count of an element
// in a range
 
class GFG {
     
    // Returns count of element in arr[left-1..right-1]
    public static int findFrequency(int arr[], int n,
                                int left, int right,
                                      int element)
    {
        int count = 0;
        for (int i = left - 1; i < right; ++i)
            if (arr[i] == element)
                ++count;
        return count;
    }
     
    /* Driver program to test above function */
    public static void main(String[] args)
    {
        int arr[] = {2, 8, 6, 9, 8, 6, 8, 2, 11};
        int n = arr.length;
      
        // Print frequency of 2 from position 1 to 6
        System.out.println("Frequency of 2 from 1 to 6 = " +
             findFrequency(arr, n, 1, 6, 2));
      
        // Print frequency of 8 from position 4 to 9
        System.out.println("Frequency of 8 from 4 to 9 = " +
             findFrequency(arr, n, 4, 9, 8));
         
    }
  }
// This code is contributed by Arnav Kr. Mandal.


Python3
# Python program to find total 
# count of an element in a range
 
# Returns count of element
# in arr[left-1..right-1]
def findFrequency(arr, n, left, right, element):
 
    count = 0
    for i in range(left - 1, right):
        if (arr[i] == element):
            count += 1
    return count
 
 
# Driver Code
arr = [2, 8, 6, 9, 8, 6, 8, 2, 11]
n = len(arr)
 
# Print frequency of 2 from position 1 to 6
print("Frequency of 2 from 1 to 6 = ",
        findFrequency(arr, n, 1, 6, 2))
 
# Print frequency of 8 from position 4 to 9
print("Frequency of 8 from 4 to 9 = ",
        findFrequency(arr, n, 4, 9, 8))
         
     
# This code is contributed by Anant Agarwal.


C#
// C# Code to find total count
// of an element in a range
using System;
 
class GFG {
     
    // Returns count of element
    // in arr[left-1..right-1]
    public static int findFrequency(int []arr, int n,
                                    int left, int right,
                                    int element)
    {
        int count = 0;
        for (int i = left - 1; i < right; ++i)
            if (arr[i] == element)
                ++count;
        return count;
    }
     
    // Driver Code
    public static void Main()
    {
        int []arr = {2, 8, 6, 9, 8, 6, 8, 2, 11};
        int n = arr.Length;
     
        // Print frequency of 2
        // from position 1 to 6
        Console.WriteLine("Frequency of 2 from 1 to 6 = " +
                            findFrequency(arr, n, 1, 6, 2));
     
        // Print frequency of 8
        // from position 4 to 9
        Console.Write("Frequency of 8 from 4 to 9 = " +
                       findFrequency(arr, n, 4, 9, 8));
         
    }
}
 
// This code is contributed by Nitin Mittal.


PHP


Javascript


C++
// C++ program to find total count of an element
#include
using namespace std;
 
unordered_map< int, vector > store;
 
// Returns frequency of element in arr[left-1..right-1]
int findFrequency(int arr[], int n, int left,
                      int right, int element)
{
    // Find the position of first occurrence of element
    int a = lower_bound(store[element].begin(),
                        store[element].end(),
                        left)
            - store[element].begin();
 
    // Find the position of last occurrence of element
    int b = upper_bound(store[element].begin(),
                        store[element].end(),
                        right)
            - store[element].begin();
 
    return b-a;
}
 
// Driver code
int main()
{
    int arr[] = {2, 8, 6, 9, 8, 6, 8, 2, 11};
    int n = sizeof(arr) / sizeof(arr[0]);
 
    // Storing the indexes of an element in the map
    for (int i=0; iPython3
# Python3 program to find total count of an element
from collections import defaultdict as dict
from bisect import bisect_left as lower_bound
from bisect import bisect_right as upper_bound
 
store = dict(list)
 
# Returns frequency of element
# in arr[left-1..right-1]
def findFrequency(arr, n, left, right, element):
     
    # Find the position of
    # first occurrence of element
    a = lower_bound(store[element], left)
 
    # Find the position of
    # last occurrence of element
    b = upper_bound(store[element], right)
 
    return b - a
 
# Driver code
arr = [2, 8, 6, 9, 8, 6, 8, 2, 11]
n = len(arr)
 
# Storing the indexes of
# an element in the map
for i in range(n):
    store[arr[i]].append(i + 1)
 
# Prfrequency of 2 from position 1 to 6
print("Frequency of 2 from 1 to 6 = ",
       findFrequency(arr, n, 1, 6, 2))
 
# Prfrequency of 8 from position 4 to 9
print("Frequency of 8 from 4 to 9 = ",
       findFrequency(arr, n, 4, 9, 8))
 
# This code is contributed by Mohit Kumar


输出:

Frequency of 2 from 1 to 6 = 1
 Frequency of 8 from 4 to 9 = 2

这种方法的时间复杂度是 O(right – left + 1) 或 O(n)
辅助空间:O(1)
一种有效的方法是使用散列。在 C++ 中,我们可以使用 unordered_map

  1. 首先,我们将每个不同元素在 map[] 中的位置存储为这样的向量
int arr[] = {2, 8, 6, 9, 8, 6, 8, 2, 11};
  map[2] = {1, 8}
  map[8] = {2, 5, 7}
  map[6] = {3, 6} 
  ans so on...
  1. 正如我们所见,map[] 中的元素已经按顺序排列(因为我们从左到右插入了元素),答案归结为使用二分搜索之类的方法找到该哈希 map[] 中的总数。
  2. 在 C++ 中,我们可以使用lower_bound,它将返回一个迭代器,该迭代器指向范围 [first, last] 中的第一个元素,该元素的值不小于 ‘left’。并且 upper_bound 返回一个指向范围 [first,last) 中第一个元素的迭代器,该元素的值大于“right”。
  3. 之后,我们只需要减去 upper_bound() 和 lower_bound() 结果即可得到最终答案。例如,假设我们要在[1到6]范围内找到8的总数,那么lower_bound()函数的map[8]将返回结果0(指向2),而upper_bound()将返回结果返回 2(指向 7),所以我们需要减去两个结果,如 2 – 0 = 2 。

以下是上述方法的代码

C++

// C++ program to find total count of an element
#include
using namespace std;
 
unordered_map< int, vector > store;
 
// Returns frequency of element in arr[left-1..right-1]
int findFrequency(int arr[], int n, int left,
                      int right, int element)
{
    // Find the position of first occurrence of element
    int a = lower_bound(store[element].begin(),
                        store[element].end(),
                        left)
            - store[element].begin();
 
    // Find the position of last occurrence of element
    int b = upper_bound(store[element].begin(),
                        store[element].end(),
                        right)
            - store[element].begin();
 
    return b-a;
}
 
// Driver code
int main()
{
    int arr[] = {2, 8, 6, 9, 8, 6, 8, 2, 11};
    int n = sizeof(arr) / sizeof(arr[0]);
 
    // Storing the indexes of an element in the map
    for (int i=0; i蟒蛇3 
# Python3 program to find total count of an element
from collections import defaultdict as dict
from bisect import bisect_left as lower_bound
from bisect import bisect_right as upper_bound
 
store = dict(list)
 
# Returns frequency of element
# in arr[left-1..right-1]
def findFrequency(arr, n, left, right, element):
     
    # Find the position of
    # first occurrence of element
    a = lower_bound(store[element], left)
 
    # Find the position of
    # last occurrence of element
    b = upper_bound(store[element], right)
 
    return b - a
 
# Driver code
arr = [2, 8, 6, 9, 8, 6, 8, 2, 11]
n = len(arr)
 
# Storing the indexes of
# an element in the map
for i in range(n):
    store[arr[i]].append(i + 1)
 
# Prfrequency of 2 from position 1 to 6
print("Frequency of 2 from 1 to 6 = ",
       findFrequency(arr, n, 1, 6, 2))
 
# Prfrequency of 8 from position 4 to 9
print("Frequency of 8 from 4 to 9 = ",
       findFrequency(arr, n, 4, 9, 8))
 
# This code is contributed by Mohit Kumar

输出:

Frequency of 2 from 1 to 6 = 1
Frequency of 8 from 4 to 9 = 2

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