Moving Tables
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 20302 Accepted Submission(s): 6889
Problem 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 corridZ??http://www.2cto.com/kf/ware/vc/" target="_blank" class="keylink">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"https://www.cppentry.com/upload_files/article/49/1_2rzsi__.gif" alt="\">
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. 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 N+3-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
Source Asia 2001, Taejon (South Korea)
解题思路:贪心,考虑每次的最优解,则对面的两房间共同拥有它们所对应的区域,每次交错,都会产生一次冲突,就代表他们不能再同一次搬运,考虑到多次转移的交错的区域,最大交错的次数就代表了最小的搬运次数。
AC代码:
#include#include #include #include #include using namespace std; int room[205]; int main(){ // freopen("in.txt", "r", stdin); int t, n, x, y; scanf("%d", &t); while(t--){ memset(room, 0, sizeof(room)); scanf("%d", &n); for(int i=0; i y) swap(x, y); //防止起始房间大于终止房间 for(int i=(x+1)/2; i<=(y+1)/2; i++){ room[i] ++; //对应区域的交错次数增加 } } int ans = 0; for(int i=1; i<=201; i++){ if(ans < room[i]) ans = room[i]; } printf("%d\n", ans*10); } return 0; }