给定N和M个整数的两个数组。任务是从两个数组中查找元素组成的无序对的数量,以使它们的总和为奇数。
注意:一个元素只能是一对。
例子:
Input: a[] = {9, 14, 6, 2, 11}, b[] = {8, 4, 7, 20}
Output: 3
{9, 20}, {14, 7} and {11, 8}
Input: a[] = {2, 4, 6}, b[] = {8, 10, 12}
Output: 0
方法:计算两个数组中的奇数和偶数的数目,对数的答案将是min(odd1,even2)+ min(odd2,even1),因为奇数+偶数只是奇数。
下面是上述方法的实现:
C++
// C++ program to implement
// the above approach
#include
using namespace std;
// Function that returns the number of pairs
int count_pairs(int a[], int b[], int n, int m)
{
// Count of odd and even numbers
int odd1 = 0, even1 = 0;
int odd2 = 0, even2 = 0;
// Traverse in the first array
// and count the number of odd
// and evene numbers in them
for (int i = 0; i < n; i++) {
if (a[i] % 2)
odd1++;
else
even1++;
}
// Traverse in the second array
// and count the number of odd
// and evene numbers in them
for (int i = 0; i < m; i++) {
if (b[i] % 2)
odd2++;
else
even2++;
}
// Count the number of pairs
int pairs = min(odd1, even2) + min(odd2, even1);
// Return the number of pairs
return pairs;
}
// Driver code
int main()
{
int a[] = { 9, 14, 6, 2, 11 };
int b[] = { 8, 4, 7, 20 };
int n = sizeof(a) / sizeof(a[0]);
int m = sizeof(b) / sizeof(b[0]);
cout << count_pairs(a, b, n, m);
return 0;
}
Java
// Java program to implement
// the above approach
class GFG {
// Function that returns the number of pairs
static int count_pairs(int a[], int b[], int n, int m)
{
// Count of odd and even numbers
int odd1 = 0, even1 = 0;
int odd2 = 0, even2 = 0;
// Traverse in the first array
// and count the number of odd
// and evene numbers in them
for (int i = 0; i < n; i++) {
if (a[i] % 2 == 1) {
odd1++;
}
else {
even1++;
}
}
// Traverse in the second array
// and count the number of odd
// and evene numbers in them
for (int i = 0; i < m; i++) {
if (b[i] % 2 == 1) {
odd2++;
}
else {
even2++;
}
}
// Count the number of pairs
int pairs = Math.min(odd1, even2) + Math.min(odd2, even1);
// Return the number of pairs
return pairs;
}
// Driver code
public static void main(String[] args)
{
int a[] = { 9, 14, 6, 2, 11 };
int b[] = { 8, 4, 7, 20 };
int n = a.length;
int m = b.length;
System.out.println(count_pairs(a, b, n, m));
}
}
// This code contributed by Rajput-Ji
Python3
# Python 3 program to implement
# the above approach
# Function that returns
# the number of pairs
def count_pairs(a, b, n, m):
# Count of odd and even numbers
odd1 = 0
even1 = 0
odd2 = 0
even2 = 0
# Traverse in the first array
# and count the number of odd
# and evene numbers in them
for i in range(n):
if (a[i] % 2):
odd1 += 1
else:
even1 += 1
# Traverse in the second array
# and count the number of odd
# and evene numbers in them
for i in range(m):
if (b[i] % 2):
odd2 += 1
else:
even2 += 1
# Count the number of pairs
pairs = (min(odd1, even2) +
min(odd2, even1))
# Return the number of pairs
return pairs
# Driver code
if __name__ == '__main__':
a = [9, 14, 6, 2, 11]
b = [8, 4, 7, 20]
n = len(a)
m = len(b)
print(count_pairs(a, b, n, m))
# This code is contributed by
# Surendra_Gangwar
C#
// C# program to implement
// the above approach
using System;
class GFG {
// Function that returns the number of pairs
static int count_pairs(int[] a, int[] b, int n, int m)
{
// Count of odd and even numbers
int odd1 = 0, even1 = 0;
int odd2 = 0, even2 = 0;
// Traverse in the first array
// and count the number of odd
// and evene numbers in them
for (int i = 0; i < n; i++) {
if (a[i] % 2 == 1) {
odd1++;
}
else {
even1++;
}
}
// Traverse in the second array
// and count the number of odd
// and evene numbers in them
for (int i = 0; i < m; i++) {
if (b[i] % 2 == 1) {
odd2++;
}
else {
even2++;
}
}
// Count the number of pairs
int pairs = Math.Min(odd1, even2) + Math.Min(odd2, even1);
// Return the number of pairs
return pairs;
}
// Driver code
static public void Main()
{
int[] a = { 9, 14, 6, 2, 11 };
int[] b = { 8, 4, 7, 20 };
int n = a.Length;
int m = b.Length;
Console.WriteLine(count_pairs(a, b, n, m));
}
}
// This code contributed by ajit.
PHP
Javascript
输出:
3
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