Description
The famous ACM (Advanced Computer Maker) Company has rented a floor of a building whose shape is in the following figure.
The floor has 200 rooms each on the north side and south side along the corridor. Recently the Company made a plan to reform its system. The reform includes moving a lot of tables between rooms. Because the corridor is narrow and all the tables are big, only one table can pass through the corridor. Some plan is needed to make the moving efficient. The manager figured out the following plan: Moving a table from a room to another room can be done within 10 minutes. When moving a table from room i to room j, the part of the corridor between the front of room i and the front of room j is used. So, during each 10 minutes, several moving between two rooms not sharing the same part of the corridor will be done simultaneously. To make it clear the manager illustrated the possible cases and impossible cases of simultaneous moving.
For each room, at most one table will be either moved in or moved out. Now, the manager seeks out a method to minimize the time to move all the tables. Your job is to write a program to solve the manager’s problem.
Input
The input consists of T test cases. The number of test cases ) (T is given in the first line of the input file. Each test case begins with a line containing an integer N , 1 <= N <= 200, that represents the number of tables to move.
Each of the following N lines contains two positive integers s and t, representing that a table is to move from room number s to room number t each room number appears at most once in the N lines). From the 3 + N -rd
line, the remaining test cases are listed in the same manner as above.
Output
The output should contain the minimum time in minutes to complete the moving, one per line.
Sample Input
3
4
10 20
30 40
50 60
70 80
2
1 3
2 200
3
10 100
20 80
30 50
Sample Output
10
20
30
思路
每次搬动桌子经过某个房间时,该房间号经过次数加1,之后对所有房间经过次数排序,其中最大的次数乘以10即为答案。
代码
#include <iostream>
#include <algorithm>
using namespace std;
int main()
{
int N = 0, T = 0;
int s = 0, t = 0;
int room[400];
cin >> T;
while (T--)
{
memset(room, 0, sizeof(room));
cin >> N;
while (N--)
{
cin >> s >> t;
if (s > t)
{
swap(s, t);
}
if (s % 2 == 0) //以奇数房间进行统计
{
s--;
}
if (t % 2 != 0)
{
t++;
}
for (int i = s; i < t; i += 2)
{
room[i]++;
}
}
sort(room, room + 399);
cout << room[398] * 10 << endl;
}
return 0;
}
本文介绍了一个针对狭窄走廊中大量桌子移动的问题解决方案。通过高效的计划安排,确保多张桌子的同时移动不会发生冲突,从而减少总的移动时间。文章提供了一种算法实现,并附带了示例输入输出,帮助理解如何最小化移动所有桌子所需的时间。
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