#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
#include <math.h>

#define R 6378
#define PI 3.141592653589793

char cities[101][40];
double lat[100];
double lon[100];
int last;

#define FILENAME "equidist.in"
FILE *in;

void read_cities() {

   last =0;
   while (1) {
     fscanf(in,"%s",cities[last]);
     if (!strcmp(cities[last],"#")) return;
     fscanf(in,"%lf %lf", &lat[last],&lon[last]);
     lat[last] *= PI / 180.0;
     lon[last] *= PI / 180.0;
     last ++;
   }
}

int idx(char *s) {
  int i;
  for (i=0; i<= last; i++)
    if (!strcmp(s,cities[i])) return i;
  return -1;
}

double dist(double theta1,double phi1, double theta2, double phi2) {
  double xx,yy,zz,alpha;
  xx = cos(phi1)*cos(theta1)*cos(phi2)*cos(theta2);
  yy = sin(phi1)*cos(theta1)*sin(phi2)*cos(theta2);
  zz = sin(theta1)*sin(theta2);
  alpha = acos(xx+yy+zz);
  return (R*alpha);
}

int read_case() {
  char sc1[40],sc2[40],sc3[40];
  int c1,c2,c3;
  fscanf(in,"%s %s %s",sc1,sc2,sc3);
  if (!strcmp(sc1,"#")) return 0;
  c1 = idx(sc1);
  c2 = idx(sc2);
  c3 = idx(sc3);
  printf("%s is ",sc3);
  if (c1<0 || c2<0 || c3<0) printf("?");
  else printf("%.0f",
    dist((lat[c1]+lat[c2])/2, (lon[c1]+lon[c2])/2,lat[c3],lon[c3]));
  printf(" km off %s/%s equidistance.\n",sc1,sc2);

  return 1;
}


int main() {
  assert(in=fopen(FILENAME,"r"));
  read_cities();
  while (read_case());
  fclose(in);
  return 0;
}