Fractal
描述
This is the logo of PKUACM 2016. More specifically, the logo is generated as follows:
1. Put four points A0(0,0), B0(0,1), C0(1,1), D0(1,0) on a cartesian coordinate system.
2. Link A0B0, B0C0, C0D0, D0A0 separately, forming square A0B0C0D0.
3. Assume we have already generated square AiBiCiDi, then square Ai+1Bi+1Ci+1Di+1 is generated by linking the midpoints of AiBi, BiCi, CiDi and DiAi successively.
4. Repeat step three 1000 times.
Now the designer decides to add a vertical line x=k to this logo( 0<= k < 0.5, and for k, there will be at most 8 digits after the decimal point). He wants to know the number of common points between the new line and the original logo.
输入
In the first line there’s an integer T( T < 10,000), indicating the number of test cases.
Then T lines follow, each describing a test case. Each line contains an float number k, meaning that you should calculate the number of common points between line x = k and the logo.
输出
For each test case, print a line containing one integer indicating the answer. If there are infinity common points, print -1.
- 样例输入
-
30.3750.0010.478
样例输出 -
-1420 题意： 在一个坐标系里有如图图像，问当直线x=k与图像交点有多少，如果是无数的话输出-1
1 #include
2 #include 3 #include 4 #include 5 #include 6 7 using namespace std; 8 9 #define N 110010 #define INF 0x3f3f3f3f11 12 int main()13 {14 int t;15 double x;16 scanf("%d", &t);17 double c = 0.5;18 double a[N] = { 0};19 int b[N] = { 0};20 for(int i = 1; i < 1000; i++)21 {22 a[i] = c/2 + a[i-1];23 b[i] = b[i-1] + 4;24 c /= 2;25 }26 while(t--)27 {28 scanf("%lf", &x);29 for(int i = 0; i < 1000; i++)30 {31 if(fabs(a[i]-x) < 0.00000000000001)32 {33 printf("-1\n");34 break;35 }36 else if(x < a[i])37 {38 printf("%d\n", b[i]);39 break;40 }41 }42 }43 return 0;44 }