Ants

Posted 2021-01-10 luckykid

题目链接

Description

An army of ants walk on a horizontal pole of length l cm, each with a constant speed of 1 cm/s. When a walking ant reaches an end of the pole, it immediatelly falls off it. When two ants meet they turn back and start walking in opposite directions. We know the original positions of ants on the pole, unfortunately, we do not know the directions in which the ants are walking. Your task is to compute the earliest and the latest possible times needed for all ants to fall off the pole.

 

Input

The first line of input contains one integer giving the number of cases that follow. The data for each case start with two integer numbers: the length of the pole (in cm) and n, the number of ants residing on the pole. These two numbers are followed by n integers giving the position of each ant on the pole as the distance measured from the left end of the pole, in no particular order. All input integers are not bigger than 1000000 and they are separated by whitespace.

 

Output

For each case of input, output two numbers separated by a single space. The first number is the earliest possible time when all ants fall off the pole (if the directions of their walks are chosen appropriately) and the second number is the latest possible such time.

 

Sample Input

2

10 3

2 6 7

214 7

11 12 7 13 176 23 191

 

Sample Output

4 8

38 207

 

Source

Waterloo local 2004.09.19

 

思路:

假设每一只蚂蚁都不回头直接继续而行，因此最大的距离就是蚂蚁距离两边距离的最大值，最小值就是距离两边的距离的最小值中的最大值

 

代码:

 1 #include<iostream>
 2 #include<algorithm>
 3 using namespace std;
 4 int main() {
 5     int n;
 6     cin >> n;
 7     while (n--) {
 8         int length, antNumber;
 9         int mx = 0, leftLength, mn = 0;
10         cin >> length >> antNumber;
11         while (antNumber--) {
12             //求最大距离
13             cin >> leftLength;
14             mx = max(max(length - leftLength, leftLength), mx);
15             //求最小距离
16             mn = max(min(length - leftLength, leftLength), mn);
17         }
18         cout << mn << " " << mx << endl;
19     }
20     return 0;
21 }

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