【Codeforces Round 332 (Div 2)A】【水题】A. Patrick and Shopping 遍历三元环的最小成本

A. Patrick and Shopping

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

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 test(s)

input

10 20 30

output

60

input

1 1 5

output

4

Note

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<stdio.h>
#include<iostream>
#include<string.h>
#include<string>
#include<ctype.h>
#include<math.h>
#include<set>
#include<map>
#include<vector>
#include<queue>
#include<bitset>
#include<algorithm>
#include<time.h>
using namespace std;
void fre(){freopen("c://test//input.in","r",stdin);freopen("c://test//output.out","w",stdout);}
#define MS(x,y) memset(x,y,sizeof(x))
#define MC(x,y) memcpy(x,y,sizeof(x))
#define MP(x,y) make_pair(x,y)
#define ls o<<1
#define rs o<<1|1
typedef long long LL;
typedef unsigned long long UL;
typedef unsigned int UI;
template <class T1,class T2>inline void gmax(T1 &a,T2 b){if(b>a)a=b;}
template <class T1,class T2>inline void gmin(T1 &a,T2 b){if(b<a)a=b;}
const int N=0,M=0,Z=1e9+7,ms63=1061109567;
int casenum,casei;
int x,y,z;
int main()
{
	while(~scanf("%d%d%d",&x,&y,&z))
	{
		int ans=min(x+x+y+y,x+z+y);
		gmin(ans,x+z+z+x);
		gmin(ans,y+z+z+y);
		printf("%d\n",ans);
	}
	return 0;
}
/*
【题意】
给你一个双向边带权三元环，问我们从点A出发，遍历3个点之后再回到A的最短距离

【类型】
水题

【分析】
其实一共也只不过有4种情况而已——
1，绕环
2，不走1号边，其他边走两次
3，不走2号边，其他边走两次
4，不走3号边，其他边走两次
取个最小值即可。

*/