Lights

//Bismillahir Rahmanir Rahim
/******Harun Or Rashid******/
/***********Template Starts Here***********/
#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<cctype>
#include<cstdlib>
#include<string>
#include<vector>
#include<set>
#include<stack>
#include<queue>
#include<map>
#include<algorithm>
using namespace std;

#define MEM(a,b) memset(a,b,sizeof(a))
#define CLR(a) memset(a,0,sizeof(a))
#define MAX(a,b) ((a)>(b)?(a):(b))
#define MIN(a,b) ((a)>(b)?(b):(a))
#define ABS(a) ((a)>0? (a):(-(a)))
#define SQ(a) ((a)*(a))
#define SZ(a) (int)a.size()
#define FORN(i,n) for(i=1;i<=n;i++)
#define FORAB(i,a,b) for(i=a;i<=b;i++)
#define ALL(V) V.begin(),V.end()
#define pb(a) push_back(a)
#define pr(a) cout<<a<<endl
#define pf printf
#define sf scanf
#define swap(a,b) (a ^= b, b ^= a, a ^= b)
#define PI 2*acos(0)
#define x first
#define y second
#define eps 1e-9
#define MX 50001

typedef int D;
typedef long long int LLD;
typedef unsigned long long int LLU;
typedef vector<D> VI;
typedef set<D> SI;
typedef vector<D>::iterator Viti;

/***********Template Ends Here***********/

int i,N;

double X[MX],Y[MX],Z[MX],L,R,lx,ry;

pair<double,double>P;

bool isvalid(double h)
{
    vector<pair<double,double> >V;
    for(i=0; i<N; i++)
    {
        if(Y[i]>=h+eps)
        {
            P.x=X[i]-tan(Z[i])*(Y[i]-h);
            P.y=X[i]+tan(Z[i])*(Y[i]-h);
            V.pb(P);
        }
    }
    if(V.size()==0) return false;
    sort(ALL(V));
    lx=V[0].x;
    ry=V[0].y;
    for(i=1; i<SZ(V); i++)
    {
        if(V[i].x<=ry)
            ry=MAX(ry,V[i].y);
        else
        {
            if(L>=lx && R<=ry)
                return true;
            lx=V[i].x;
            ry=V[i].y;
        }
    }
    return L>=lx && R<=ry;
}

int main()
{
    double low,high,mid,result;
    cin>>N>>L>>R;
    for(i=0; i<N; i++)
    {
        cin>>X[i]>>Y[i]>>Z[i];
        Z[i]=Z[i]*PI/180;
    }
    low=0;
    high=1000;
    while((ABS(high-low))>eps)
    {
        mid=(low+high)/2.0;
        if(isvalid(mid))
            low=mid;
        else
            high=mid;
    }
    result=(low+high)/2.0;
    result+=eps;
    printf("%.10lf\n",result);
    return 0;
}