lazy gege
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 948 Accepted Submission(s): 361
Problem Description
Gege hasn‘t tidied his desk for long,now his desk is full of things.
This morning Gege bought a notebook,while to find somewhise to put it troubles him.
He wants to tidy a small area of the desk, leaving an empty area, and put the notebook there, the notebook shouldn‘t fall off the desk when putting there.
The desk is a square and the notebook is a rectangle, area of the desk may be smaller than the notebook.
here‘re two possible conditions:
Can you tell Gege the smallest area he must tidy to put his notebook?
Input
T(T<=100) in the first line is the case number.
The next T lines each has 3 real numbers, L,A,B(0< L,A,B <= 1000).
L is the side length of the square desk.
A,B is length and width of the rectangle notebook.
Output
For each case, output a real number with 4 decimal(printf("%.4lf",ans) is OK), indicating the smallest area Gege should tidy.
Sample Input
3 10.1 20 10 3.0 20 10 30.5 20.4 19.6
Sample Output
25.0000 9.0000 96.0400
Author
madfrog
Source
题意: 求一个矩形放在正方形的桌子上,不掉落,所覆盖的最小面积
题解: 要使矩形不掉落,只需矩形的重心在桌子上即可,然后要求覆盖的最小面积,则分类讨论下就行了. (很容易想的)具体看代码吧!
AC代码:
#include <algorithm> #include <iostream> #include <cstring> #include <cstdlib> #include <cstdio> #include <vector> #include <cmath> #define eps 1e-8 using namespace std; const int MAXN = 1e3 + 100; typedef long long ll; typedef unsigned long long ull; typedef pair<int,int>P; int main() { int T; cin>>T; while(T--) { double d,a,b,ans; scanf("%lf %lf %lf",&d,&a,&b); if(a > b) swap(a,b); double mid = sqrt((double)2) / 2 * d; if(mid + eps >= a / 2) ans = a * a / 4.0; else if(mid * 2 < a / 2 + eps) ans = d * d; else { double r = mid * 2.0 - a / 2; ans = d * d - r * r; } printf("%.4lf\n",ans); } return 0; }