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## Discussion of Problem 1030. Titanic

Posted by DavidРЕМШgladoff#c++ 30 Nov 2014 11:35
#include <iostream>
#include <math.h>
using namespace std;
const long double D=6875;
const long double pi=3.1415926535897932384626433;
struct postype{
long double x,y,z;
};
int x1,x2,x3,yy1,y2,y3;
int sx1,sx2,sx3,syy1,sy2,sy3;
char str[100000];
char xstr[10],ystr[10],sxstr[10],systr[10];
postype ship,ice;
long double angle1,angle2;

long double dis(double a,double b,double c,double d,double e,double f){
a-=d;
b-=e;
c-=f;
return sqrt(a*a+b*b+c*c);
}

int main(){
for (int i=1;i<=3;++i) gets(str);
scanf("%d^%d'%d\" %s\n",&x1,&x2,&x3,&xstr);
scanf("and %d^%d'%d\" %s\n",&yy1,&y2,&y3,&ystr);
gets(str);
scanf("%d^%d'%d\" %s\n",&sx1,&sx2,&sx3,&sxstr);
scanf("and %d^%d'%d\" %s\n",&syy1,&sy2,&sy3,&systr);
gets(str);

double a=x1,b=x2,c=x3;
angle1=a*3600+b*60.0+c;
angle1/=3600.0*180;
angle1*=pi;
if (xstr[0]=='S') angle1=-angle1;
a=yy1;b=y2;c=y3;
angle2=a*3600+b*60.0+c;
angle2/=3600.0*180;
angle2*=pi;
if (ystr[0]=='W') angle2=-angle2;
ship.x=D/2*cos(angle1)*cos(angle2);
ship.y=D/2*cos(angle1)*sin(angle2);
ship.z=D/2*sin(angle1);

a=sx1,b=sx2,c=sx3;
angle1=a*3600+b*60+c;
angle1/=3600.0*180;
angle1*=pi;
if (sxstr[0]=='S') angle1=-angle1;
a=syy1;b=sy2;c=sy3;
angle2=a*3600+b*60+c;
angle2/=3600.0*180;
angle2*=pi;
if (systr[0]=='W') angle2=-angle2;
ice.x=D/2*cos(angle1)*cos(angle2);
ice.y=D/2*cos(angle1)*sin(angle2);
ice.z=D/2*sin(angle1);

long double linedis=dis(ship.x,ship.y,ship.z,ice.x,ice.y,ice.z);
linedis/=2;
long double AA=asin(linedis*2/D)*2;
long double ans=AA;
ans=ans*D/2;

printf("The distance to the iceberg: ");
cout.precision(2);
cout<<fixed;
cout<<ans;
printf(" miles.\n");
if (100.00-ans>0.005) printf("DANGER!");
}