Clock
HDU - 1209
There is an analog clock with two hands: an hour hand and a minute hand. The two hands form an angle. The angle is measured as the smallest angle between the two hands. The angle between the two hands has a measure that is greater than or equal to 0 and less than or equal to 180 degrees.
Given a sequence of five distinct times written in the format hh : mm , where hh are two digits representing full hours (00 <= hh <= 23) and mm are two digits representing minutes (00 <= mm <= 59) , you are to write a program that finds the median, that is, the third element of the sorted sequence of times in a nondecreasing order of their associated angles. Ties are broken in such a way that an earlier time precedes a later time.
For example, suppose you are given a sequence (06:05, 07:10, 03:00, 21:00, 12:55) of times. Because the sorted sequence is (12:55, 03:00, 21:00, 06:05, 07:10), you are to report 21:00.
Given a sequence of five distinct times written in the format hh : mm , where hh are two digits representing full hours (00 <= hh <= 23) and mm are two digits representing minutes (00 <= mm <= 59) , you are to write a program that finds the median, that is, the third element of the sorted sequence of times in a nondecreasing order of their associated angles. Ties are broken in such a way that an earlier time precedes a later time.
For example, suppose you are given a sequence (06:05, 07:10, 03:00, 21:00, 12:55) of times. Because the sorted sequence is (12:55, 03:00, 21:00, 06:05, 07:10), you are to report 21:00.
Input
The input consists of T test cases. The number of test cases (T) is given on the first line of the input file. Each test case is given on a single line, which contains a sequence of five distinct times, where times are given in the format hh : mm and are separated by a single space.Output
Print exactly one line for each test case. The line is to contain the median in the format hh : mm of the times given. The following shows sample input and output for three test cases.Sample Input
3 00:00 01:00 02:00 03:00 04:00 06:05 07:10 03:00 21:00 12:55 11:05 12:05 13:05 14:05 15:05
Sample Output
02:00 21:00 14:05
WA了好几次,因为没有考虑到时针在分针转动时的偏差
WA的代码:
#include <stdio.h> #include <string.h> #include <stdlib.h> #include <queue> #include <math.h> #include <algorithm> using namespace std; struct node{ char times[8]; int hh,mm; int angle; }num[8]; int t0='0'; bool cmp(node a,node b) { if(a.angle<b.angle) return true; else if(a.angle==b.angle && (a.hh<b.hh || (a.hh==b.hh && a.mm<b.mm))) return true; return false; } int main() { int t; scanf("%d",&t); while(t--) { for(int i=0;i<05;i++) { scanf("%s",num[i].times); num[i].hh=(num[i].times[0]-t0)*10+(num[i].times[1]-t0); num[i].mm=(num[i].times[3]-t0)*10+(num[i].times[4]-t0); num[i].angle=abs((num[i].hh%12)*30-num[i].mm*6); //WA在了这里 if(num[i].angle>180) num[i].angle=360-num[i].angle; printf("%d\n",num[i].angle); } sort(num,num+5,cmp); printf("%s\n",num[2].times); } return 0; }
AC:
#include <stdio.h> #include <string.h> #include <stdlib.h> #include <queue> #include <math.h> #include <algorithm> using namespace std; struct node{ char times[8]; double mm; int hh; double angle; }num[8]; int t0='0'; bool cmp(node a,node b) { if(a.angle<b.angle) return true; else if(a.angle==b.angle && (a.hh<b.hh || (a.hh==b.hh && a.mm<b.mm))) return true; return false; } int main() { int t; scanf("%d",&t); while(t--) { for(int i=0;i<05;i++) { scanf("%s",num[i].times); num[i].hh=(num[i].times[0]-t0)*10+(num[i].times[1]-t0); num[i].mm=(num[i].times[3]-t0)*10+(num[i].times[4]-t0); num[i].angle=fabs((double)(num[i].hh%12)*30+(num[i].mm/60)*30-num[i].mm*6); if(num[i].angle>180) num[i].angle=360-num[i].angle; //printf("%llf\n",num[i].angle); } sort(num,num+5,cmp); printf("%s\n",num[2].times); } return 0; }