HDU 1678 Shopaholic(排序)

本文深入探讨了购物狂热者Lindsay如何通过精心挑选商品,在特定优惠活动下最大化节省购物预算。详细解释了计算最大折扣的方法,并通过实例演示了在不同购买组合下的实际应用。

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Shopaholic

Time Limit: 3000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1603    Accepted Submission(s): 900


Problem Description
Lindsay is a shopaholic. Whenever there is a discount of the kind where you can buy three items and only pay for two, she goes completely mad and feels a need to buy all items in the store. You have given up on curing her for this disease, but try to limit its effect on her wallet.
You have realized that the stores coming with these offers are quite elective when it comes to which items you get for free; it is always the cheapest ones. As an example, when your friend comes to the counter with seven items, costing 400, 350, 300, 250, 200, 150, and 100 dollars, she will have to pay 1500 dollars. In this case she got a discount of 250 dollars. You realize that if she goes to the counter three times, she might get a bigger discount. E.g. if she goes with the items that costs 400, 300 and 250, she will get a discount of 250 the first round. The next round she brings the item that costs 150 giving no extra discount, but the third round she takes the last items that costs 350, 200 and 100 giving a discount of an additional 100 dollars, adding up to a total discount of 350.
Your job is to find the maximum discount Lindsay can get.
 

Input
The first line of input gives the number of test scenarios, 1 <= t <= 20. Each scenario consists of two lines of input. The first gives the number of items Lindsay is buying, 1 <= n <= 20000. The next line gives the prices of these items, 1 <= pi <= 20000.
 

Output
For each scenario, output one line giving the maximum discount Lindsay can get by selectively choosing which items she brings to the counter at the same time.
 

Sample Input
1 6 400 100 200 350 300 250
 

Sample Output
400

题意:买3样东西,最便宜的那样可以不用付钱。问n样东西最多不用付多少?

AC代码:

#include<cstdio>
#include<iostream>
#include<algorithm>
using namespace std; 
int a[20010];
bool cmp(int a,int b)
{
	return a>b;
}
int main(){
	int t,n,i,sum;
	scanf("%d",&t);
	while(t--){
		scanf("%d",&n);
		for(i=0;i<n;i++) 
			scanf("%d",&a[i]);
		sum=0;
		sort(a,a+n,cmp);
		for(i=2;i<n;i+=3)
			sum+=a[i];
		printf("%d\n",sum);
	}
	return 0;
}


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