POJ 1700 Crossing River（贪心）

最新推荐文章于 2021-02-18 15:18:52 发布

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最新推荐文章于 2021-02-18 15:18:52 发布

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本文介绍了一个经典的算法问题——如何让不同速度的人群使用一条小船渡河的时间最短。通过合理的人员搭配和往返策略，文章提供了一种有效的解决方案。

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V - Crossing River

Time Limit:1000MS Memory Limit:10000KB 64bit IO Format:%I64d & %I64u

Submit Status Practice POJ 1700

Description

A group of N people wishes to go across a river with only one boat, which can at most carry two persons. Therefore some sort of shuttle arrangement must be arranged in order to row the boat back and forth so that all people may cross. Each person has a different rowing speed; the speed of a couple is determined by the speed of the slower one. Your job is to determine a strategy that minimizes the time for these people to get across.

Input

The first line of the input contains a single integer T (1 <= T <= 20), the number of test cases. Then T cases follow. The first line of each case contains N, and the second line contains N integers giving the time for each people to cross the river. Each case is preceded by a blank line. There won't be more than 1000 people and nobody takes more than 100 seconds to cross.

Output

For each test case, print a line containing the total number of seconds required for all the N people to cross the river.

Sample Input

1
4
1 2 5 10

Sample Output

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<queue>
#include<stack>
#include<vector>
#include<set>
#include<map>

#define L(x) (x<<1)
#define R(x) (x<<1|1)
#define MID(x,y) ((x+y)>>1)

#define eps 1e-8
typedef __int64 ll;

#define fre(i,a,b)  for(i = a; i < b; i++)
#define free(i,b,a) for(i = b; i >= a;i--)
#define mem(t, v)   memset ((t) , v, sizeof(t))
#define ssf(n)      scanf("%s", n)
#define sf(n)       scanf("%d", &n)
#define sff(a,b)    scanf("%d %d", &a, &b)
#define sfff(a,b,c) scanf("%d %d %d", &a, &b, &c)
#define pf          printf
#define bug         pf("Hi\n")

using namespace std;

#define INF 0x3f3f3f3f
#define N  5005

int a[N],n;

int main()
{
	int i,j,t;
	sf(t);
	while(t--)
	{
		scanf("%d",&n);
		for(i=0;i<n;i++)
			sf(a[i]);
		if(n==1)
		{
			pf("%d\n",a[0]);
			continue;
		}
		int ans=0;
		sort(a,a+n);
		int e=n-1;
		while(1)
		{
			if(e==1)
			{
				ans+=max(a[0],a[1]);    //两个人
				break;
			}
            if(e==2)
			{
				ans+=a[0]+a[1]+a[2];   //三个人
				break;
			}
			//送最慢两个人过河
			ans+=min(a[e]+a[0]+a[e-1]+a[0],a[1]+a[e]+a[0]+a[1]);   //0 e 去 0回  0 e-1  去,0回
			e-=2;                                                  //0 1 去,0回,e，e-1去，1回
		}
        pf("%d\n",ans);
	}
  return 0;
}