C++ 中随机配对为最大权重配对的概率


给定两个不同的数组,任务是找到随机选择的配对为最大权重配对的概率。

一个配对将包含一个来自例如数组1的元素和另一个来自另一个数组例如数组2的元素。因此,程序必须找到包含第一个元素为数组1的最大元素和第二个元素为数组2的最大元素的配对的概率,从而形成最大权重配对。

输入

arr1[] = { 2, 23 }
arr2[] = { 10, 3, 8 }

输出

probability of maximum pair : 0.166667

说明

set of pairs from both the arrays are -: {(2, 10), (2, 3), (2, 8), (23, 10), (23, 3), (23, 8)}
Maximum weighted pair from the given set is: (23, 8)
Probability is : 1 / 6 = 0.166667

输入 -

arr1[] = { 4, 5, 6 }
arr2[] = { 6, 2, 6 }

输出 -

probability of maximum pair : 0.222222

说明

set of pairs from both the arrays are -: {(4, 6), (4, 2), (4, 6), (5, 6), (5, 2), (5, 6), (6, 6), (6, 2), (6, 6)}
Maximum weighted pair from the given set is (6, 6) which is occurring twice.
Probability is : 2 / 9 = 0.2222

方法

  • 输入数组元素

  • 找到两个数组中的最大元素并计算由此形成的最大权重配对的总数

  • 通过将最大权重配对的总数除以集合中配对的总数来计算概率

  • 打印计算出的概率

算法

Start
Step1→ declare function to calculate maximum weighted pair
   double max_pair(int arr1[], int arr2[], int size_1, int size_2)
      declare int max_pair1 = INT_MIN, count_1 = 0
      Loop For int i = 0 and i < size_1 and i++
      IF arr1[i] > max_pair1
         Set max_pair1 = arr1[i]
         Set count_1 = 1
      End
      Else IF arr1[i] = max_pair1
         Set count_1++
      End
   End
   Declare int max_pair2 = INT_MIN, count_2 = 0
   Loop For int i = 0 and i < size_2 and i++
      IF arr2[i] > max_pair2
         Set max_pair2 = arr2[i]
         Set count_2 = 1
      End
      Else IFarr2[i] = max_pair2
         Set count_2++
      End
   End
   return (double)(count_1 * count_2) / (size_1 * size_2)
Step 2→ In main()
   Declare int arr1[] = { 2, 23 }
   Declare int arr2[] = { 10, 3, 8 }
   Calculate int size_1 = sizeof(arr1) / sizeof(arr1[0])
   Calculate int size_2 = sizeof(arr2) / sizeof(arr2[0])
   Call max_pair(arr1, arr2, size_1, size_2)
Stop

示例

现场演示

#include <bits/stdc++.h>
using namespace std;
// Function to return probability
double max_pair(int arr1[], int arr2[], int size_1, int size_2){
   //pair from array 1
   int max_pair1 = INT_MIN, count_1 = 0;
   for (int i = 0; i < size_1; i++){
      if (arr1[i] > max_pair1){
         max_pair1 = arr1[i];
         count_1 = 1;
      }
      else if (arr1[i] == max_pair1){
         count_1++;
      }
   }
   //pair from array 2
   int max_pair2 = INT_MIN, count_2 = 0;
   for (int i = 0; i < size_2; i++){
      if (arr2[i] > max_pair2){
         max_pair2 = arr2[i];
         count_2 = 1;
      }
      else if (arr2[i] == max_pair2){
         count_2++;
      }
   }
   return (double)(count_1 * count_2) / (size_1 * size_2);
}
int main(){
   int arr1[] = { 2, 23 };
   int arr2[] = { 10, 3, 8 };
   int size_1 = sizeof(arr1) / sizeof(arr1[0]);
   int size_2 = sizeof(arr2) / sizeof(arr2[0]);
   cout <<"probability of maximum pair in both the arrays are "<<max_pair(arr1, arr2, size_1, size_2);
   return 0;
}

输出

如果运行以上代码,它将生成以下输出 -

probability of maximum pair in both the arrays are 0.166667

更新于: 2020-08-13

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