CodeForces 599A Patrick and Shopping

本文介绍了一道关于计算从家出发到两个商店购物并返回家的最短路径问题。通过列举所有可能的行走路线,并利用排序的方法找出最优解。

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Description

Today Patrick waits for a visit from his friend Spongebob. To prepare for the visit, Patrick needs to buy some goodies in two stores located near his house. There is a d1 meter long road between his house and the first shop and a d2 meter long road between his house and the second shop. Also, there is a road of length d3 directly connecting these two shops to each other. Help Patrick calculate the minimum distance that he needs to walk in order to go to both shops and return to his house.

Patrick always starts at his house. He should visit both shops moving only along the three existing roads and return back to his house. He doesn't mind visiting the same shop or passing the same road multiple times. The only goal is to minimize the total distance traveled.

Input

The first line of the input contains three integers d1d2d3 (1 ≤ d1, d2, d3 ≤ 108) — the lengths of the paths.

  • d1 is the length of the path connecting Patrick's house and the first shop;
  • d2 is the length of the path connecting Patrick's house and the second shop;
  • d3 is the length of the path connecting both shops.

Output

Print the minimum distance that Patrick will have to walk in order to visit both shops and return to his house.

Sample Input

Input
10 20 30
Output
60
Input
1 1 5
Output
4

Hint

The first sample is shown on the picture in the problem statement. One of the optimal routes is: house  first shop  second shop house.

In the second sample one of the optimal routes is: house  first shop  house  second shop  h

题意:假设A为家,B,C分别为两个商店,两两间的距离已知。求他从家出发分别到两个商店买过东西回家后的最短路程。

思路:其实总共就4种情况,分别将其存入数组中然后排下序输出即可。

代码如下:

#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
int main()
{
	int d1,d2,d3;
	int a[5];
	while(scanf("%d%d%d",&d1,&d2,&d3)!=EOF)
	{
	a[0]=d1+d2+d3;
	a[1]=2*(d2+d3);
	a[2]=2*(d1+d3);
	a[3]=2*(d2+d1);
	sort(a,a+4);
	printf("%d\n",a[0]);
	}
}


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