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交换两数组中的元素使得这两个数组的差最小

程序员文章站 2024-02-03 11:20:58
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交换两数组中的元素使得这两个数组的差最小

a1=A-B

a2=(A-a[i]+b[j])-(B-b[j]=a[i])

=(A-B)-2*(a[i]-b[j])

=a1-2*(a[i]-b[j])


a[i]-b[j]~~(0,a1) min=a1/2;


// ConsoleApplication1.cpp : 定义控制台应用程序的入口点。
//

#include "stdafx.h"
#include<string>
using namespace std;
void swap(float *A, int lenA, float *B, int lenB, float a1)
{
	float min_ = 10000;
	int k1 = -1;
	int k2 = -1;
	for (int i = 0; i < lenA;i++)
		for (int j = 0; j < lenB; j++){
			int sub = abs((A[i] - B[j])-a1*1.0/2);

			if (sub < min_)
			{
				min_ = sub;
				k1 = i;
				k2 = j;
			}
		}
	int temp = A[k1];
	A[k1] = B[k2];
	B[k2] = temp;
	

}
float FinSum(float A[], int lenA, float B[], int lenB)
{
	float Subsum1 = 0;
	float Subsum2 = 0;
	for (int i = 0; i < lenA; i++)
	{
		Subsum1 += A[i];
	}
	for (int i = 0; i < lenA; i++)
	{
		Subsum2 += B[i];
	}
	float a1 = Subsum1 - Subsum2;
	return a1;
}
int main()
{
	float A[] = { 4,5,6 };
	int len_a = 3;
	float B[] = { 1,2,3};
	int len_b = 3;
	float a1 = 1000000;
	float a2 = FinSum(A, len_a, B, len_b);
	while (a2 < a1)
	{
		a1 = a2;
		swap(A, len_a, B, len_b, a2);
		a2 = FinSum(A, len_a, B, len_b);
	}
	return 0;
}