C - Patrick and Shopping

本文介绍了一个简单的路径规划问题,帮助角色Patrick在两个商店之间寻找最短路径并返回家的方法。通过比较不同路径组合的距离,确定了最短路径的计算逻辑。

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C - Patrick and Shopping

Time Limit:1000MS Memory Limit:262144KB 64bit IO Format:%I64d & %I64u
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Status
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 d1, d2, d3 (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 house.


#include<iostream>
#include<cstdio>
#include<algorithm>
using namespace std;

int main()
{
    __int64 d1,d2,d3,s;
    while(cin>>d1>>d2>>d3)
    {
         s=d1+d2+d3;
         if(s>2*(d1+d3))
         {
            s=2*(d1+d3);
          } 
          if(s>2*(d2+d3))
          {
            s=2*(d2+d3);
          }
          if(s>2*(d1+d2))
          {
            s=2*(d1+d2);
          }
          cout<<s<<endl; 
    }
    return 0;
}
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