10233 - Dermuba triangle/10233.cpp

   1 #include <iostream>
   2 #include <math.h>
   3 using namespace std;
   4
   5 int dameFila(unsigned int n){
   6     return int(ceil(sqrt(n+1)));
   7 }
   8
   9 int dameColumna(unsigned int n){
  10     int miFila = dameFila(n);
  11     int centro = miFila*(miFila-1);
  12     return n - centro;
  13 }
  14
  15 const double altura = sqrt(3)/2.0;
  16
  17 double dameY(unsigned int a){
  18        double ay;
  19        int fila_a, columna_a;
  20        columna_a = dameColumna(a);
  21        fila_a = dameFila(a);
  22        if (fila_a & 1){
  23           ay = (fila_a-1)*altura;
  24           if (columna_a & 1) ay -= altura/3.0;
  25        }else{
  26           ay = altura*((fila_a-2) + 2.0/3.0);
  27           if (columna_a & 1) ay += altura/3.0;
  28        }
  29        return ay;
  30 }
  31
  32 int main(){
  33     unsigned int a, b;
  34     double ax, ay, bx, by;
  35     while (cin >> a >> b){
  36           //cout << "fila de a es " << dameFila(a) << endl;
  37           //cout << "columna de a es " << dameColumna(a) << endl;
  38           ax = 0.5 * dameColumna(a);
  39           ay = dameY(a);
  40
  41           bx = 0.5 * dameColumna(b);
  42           by = dameY(b);
  43
  44           //cout << ax << ", " << ay << endl;
  45           printf("%.3f\n", hypot(ax-bx, ay-by));
  46     }
  47     return 0;
  48 }