using System;
using System.Collections;
using System.Collections.Generic;
using System.Diagnostics;
using System.Globalization;
using System.IO;
using System.Linq;
using System.Numerics;
using System;
using System.Collections.Generic;
using System.Diagnostics;
using System.Globalization;
using System.Linq;

namespace Codeforces.TaskD
{
    public class Task
    {
        private int d;
        private Point[] points;

        private double Distance(double l, int i)
        {
            // tg a1 = x/y
            // tg (alpha - a1) = (z-x)/y => z = x + y tg (alpha - a1)
            // tg (a+b) = (tg a + tg b)/(1 - tg a tg b)
            // z = x + y (tg alpha - x/y) / (1 + (x/y) tg alpha) = x + y (y tg alpha - x) / (y + x tg alpha) =
            // (xy + x2 tg + y2 tg - xy) / (y + x tg) = tg alpha (x2 + y2) / (y + x tg alpha)

            // tg a2 = -x/y
            // tg (alpha + a2) = (z-x)/y

            var p = points[i];
            var x = p.X - l;
            var y = p.Y;
            var tg = p.TgAlpha;

            if (x < 0)
            {
                var maxAlpha = Math.PI/2 - Math.Abs(Math.Atan2(x, y));
                if (p.Alpha >= maxAlpha) return d;
            }

            var denom = y + x*tg;
            if (denom == 0) return d;
            var z = l + Math.Abs(tg*(x*x + y*y)/denom);
            return Math.Min(d, z);
        }

        void Solve()
        {
            int n, l, r;
            Input.Next(out n, out l, out r);
            d = r - l;

            points = new Point[n];
            for (var i = 0; i < n; i++)
            {
                points[i] = new Point();
                Input.Next(out points[i].X, out points[i].Y, out points[i].Angle);
                points[i].X -= l;
                points[i].Alpha = points[i].Angle * Math.PI / 180;
                points[i].TgAlpha = Math.Tan(points[i].Alpha);
            }

            var dp = new double[1 << n << 1];
            for (var j = 0; j < 1<<n; j++)
                for (var i=0;i<n;i++)
                    if ((j & (1 << i)) == 0)
                        dp[j | (1 << i)] = Math.Max(dp[j | (1 << i)], Distance(dp[j], i));
            Console.Write(dp[(1<<n)-1].ToString("f9", CultureInfo.InvariantCulture));
        }

        public static void Main()
        {
            var task = new Task();
            #if DEBUG
            task.Solve();
            #else
            try
            {
                task.Solve();
            }
            catch (Exception ex)
            {
                Console.ForegroundColor = ConsoleColor.Red;
                Console.WriteLine(ex);
            }
            #endif
        }
    }

    sealed class Point
    {
        public int X;
        public int Y;
        public int Angle;
        public double Alpha;
        public double TgAlpha;
    }
}

namespace Codeforces
{
    public class Input
    {
        private static string _line;

        public static bool Next()
        {
            _line = Console.ReadLine();
            return _line != null;
        }

        public static bool Next(out long a)
        {
            var ok = Next();
            a = ok ? long.Parse(_line) : 0;
            return ok;
        }

        public static bool Next(out long a, out long b)
        {
            var ok = Next();
            if (ok)
            {
                var array = _line.Split(' ').Select(long.Parse).ToArray();
                a = array[0];
                b = array[1];
            }
            else
            {
                a = b = 0;
            }

            return ok;
        }

        public static bool Next(out long a, out long b, out long c)
        {
            var ok = Next();
            if (ok)
            {
                var array = _line.Split(' ').Select(long.Parse).ToArray();
                a = array[0];
                b = array[1];
                c = array[2];
            }
            else
            {
                a = b = c = 0;
            }
            return ok;
        }

        public static bool Next(out long a, out long b, out long c, out long d)
        {
            var ok = Next();
            if (ok)
            {
                var array = _line.Split(' ').Select(long.Parse).ToArray();
                a = array[0];
                b = array[1];
                c = array[2];
                d = array[3];
            }
            else
            {
                a = b = c = d = 0;
            }
            return ok;
        }

        public static bool Next(out long a, out long b, out long c, out long d, out long e)
        {
            var ok = Next();
            if (ok)
            {
                var array = _line.Split(' ').Select(long.Parse).ToArray();
                a = array[0];
                b = array[1];
                c = array[2];
                d = array[3];
                e = array[4];
            }
            else
            {
                a = b = c = d = e = 0;
            }
            return ok;
        }

        public static bool Next(out int a)
        {
            var ok = Next();
            a = ok ? int.Parse(_line) : 0;
            return ok;
        }

        public static bool Next(out int a, out int b)
        {
            var ok = Next();
            if (ok)
            {
                var array = _line.Split(' ').Select(int.Parse).ToArray();
                a = array[0];
                b = array[1];
            }
            else
            {
                a = b = 0;
            }

            return ok;
        }

        public static bool Next(out int a, out int b, out int c)
        {
            var ok = Next();
            if (ok)
            {
                var array = _line.Split(' ').Select(int.Parse).ToArray();
                a = array[0];
                b = array[1];
                c = array[2];
            }
            else
            {
                a = b = c = 0;
            }
            return ok;
        }

        public static bool Next(out int a, out int b, out int c, out int d)
        {
            var ok = Next();
            if (ok)
            {
                var array = _line.Split(' ').Select(int.Parse).ToArray();
                a = array[0];
                b = array[1];
                c = array[2];
                d = array[3];
            }
            else
            {
                a = b = c = d = 0;
            }
            return ok;
        }

        public static bool Next(out int a, out int b, out int c, out int d, out int e)
        {
            var ok = Next();
            if (ok)
            {
                var array = _line.Split(' ').Select(int.Parse).ToArray();
                a = array[0];
                b = array[1];
                c = array[2];
                d = array[3];
                e = array[4];
            }
            else
            {
                a = b = c = d = e = 0;
            }
            return ok;
        }

        public static bool Next(out int a, out int b, out int c, out int d, out int e, out int f)
        {
            var ok = Next();
            if (ok)
            {
                var array = _line.Split(' ').Select(int.Parse).ToArray();
                a = array[0];
                b = array[1];
                c = array[2];
                d = array[3];
                e = array[4];
                f = array[5];
            }
            else
            {
                a = b = c = d = e = f = 0;
            }
            return ok;
        }

        public static IEnumerable<long> ArrayLong()
        {
            return !Next() ? new List<long>() : _line.Split().Select(long.Parse);
        }

        public static IEnumerable<int> ArrayInt()
        {
            return !Next() ? new List<int>() : _line.Split().Select(int.Parse);
        }

        public static bool Next(out string value)
        {
            value = string.Empty;
            if (!Next()) return false;
            value = _line;
            return true;
        }
    }

    public class DisjointSet
    {
        private readonly int[] _parent;
        private readonly int[] _rank;
        public int Count { get; private set; }

        public DisjointSet(int count, int initialize = 0)
        {
            Count = count;
            _parent = new int[Count];
            _rank = new int[Count];
            for (var i = 0; i < initialize; i++) _parent[i] = i;
        }

        private DisjointSet(int count, int[] parent, int[] rank)
        {
            Count = count;
            _parent = parent;
            _rank = rank;
        }

        public void Add(int v)
        {
            _parent[v] = v;
            _rank[v] = 0;
        }

        public int Find_Recursive(int v)
        {
            if (_parent[v] == v) return v;
            return _parent[v] = Find(_parent[v]);
        }

        public int Find(int v)
        {
            if (_parent[v] == v) return v;
            var last = v;
            while (_parent[last] != last) last = _parent[last];
            while (_parent[v] != v)
            {
                var t = _parent[v];
                _parent[v] = last;
                v = t;
            }
            return last;
        }

        public int this[int v]
        {
            get { return Find(v); }
            set { Union(v, value); }
        }

        public void Union(int a, int b)
        {
            a = Find(a);
            b = Find(b);
            if (a == b) return;
            if (_rank[a] < _rank[b])
            {
                var t = _rank[a];
                _rank[a] = _rank[b];
                _rank[b] = t;
            }
            _parent[b] = a;
            if (_rank[a] == _rank[b]) _rank[a]++;
        }

        public int GetSetCount()
        {
            var result = 0;
            for (var i = 0; i < Count; i++)
            {
                if (_parent[i] == i) result++;
            }
            return result;
        }

        public DisjointSet Clone()
        {
            var rank = new int[Count];
            _rank.CopyTo(rank, 0);
            var parent = new int[Count];
            _parent.CopyTo(parent, 0);
            return new DisjointSet(Count, parent, rank);
        }

        public override string ToString()
        {
            return string.Join(",", _parent.Take(50));
        }
    }

    public class Matrix
    {
        public static Matrix Create(int i, int j)
        {
            var m = new Matrix(i, j);
            return m;
        }

        public static Matrix Create(int i)
        {
            var m = new Matrix(i, i);
            return m;
        }

        public long Modulo { get; set; }

        private readonly int _width;
        private readonly int _height;
        private readonly long[,] _data;
        public int Width { get { return _width; } }
        public int Height { get { return _height; } }

        private Matrix(int i, int j)
        {
            Modulo = 1000000000000000000L;
            _width = j;
            _height = i;
            _data = new long[_height, _width];
        }

        public static Matrix operator *(Matrix m1, Matrix m2)
        {
            if (m1.Width != m2.Height) throw new InvalidDataException("m1.Width != m2.Height");
            var m = Create(m2.Width, m1.Height);
            m.Modulo = m1.Modulo;
            for (var i = 0; i < m2.Width; i++)
                for (var j = 0; j < m1.Height; j++)
                {
                    for (var k = 0; k < m1.Width; k++)
                        m[j, i] += (m1[j, k] * m2[k, i]) % m1.Modulo;
                    m[j, i] %= m1.Modulo;
                }
            return m;
        }

        public static Matrix operator +(Matrix m1, Matrix m2)
        {
            var m = m1.Clone();
            for (var i = 0; i < m2.Width; i++)
                for (var j = 0; j < m1.Height; j++)
                    m[j, i] = (m[j, i] + m2[j, i]) % m1.Modulo;
            return m;
        }

        public static Matrix operator -(Matrix m1, Matrix m2)
        {
            var m = m1.Clone();
            for (var i = 0; i < m2.Width; i++)
                for (var j = 0; j < m1.Height; j++)
                    m[j, i] = (m[j, i] - m2[j, i]) % m1.Modulo;
            return m;
        }

        public static Matrix operator *(Matrix m1, long l)
        {
            var m = m1.Clone();
            for (var i = 0; i < m1.Width; i++)
                for (var j = 0; j < m1.Height; j++)
                    m[j, i] = (m[j, i] * l) % m.Modulo;
            return m;
        }

        public static Matrix operator *(long l, Matrix m1)
        {
            return m1 * l;
        }

        public static Matrix operator +(Matrix m1, long l)
        {
            var m = m1.Clone();
            for (var i = 0; i < m1.Width; i++)
                m[i, i] = (m[i, i] + l) % m.Modulo;
            return m;
        }

        public static Matrix operator +(long l, Matrix m1)
        {
            return m1 + l;
        }

        public static Matrix operator -(Matrix m1, long l)
        {
            return m1 + (-l);
        }

        public static Matrix operator -(long l, Matrix m1)
        {
            var m = m1.Clone() * -1;
            return m + l;
        }

        public Matrix BinPower(long l)
        {
            var n = 1;
            var m = Clone();
            var result = new Matrix(m.Height, m.Width) + 1;
            result.Modulo = m.Modulo;
            while (l != 0)
            {
                var i = l & ~(l - 1);
                l -= i;
                while (n < i)
                {
                    m = m * m;
                    n <<= 1;
                }
                result *= m;
            }
            return result;
        }

        public void Fill(long l)
        {
            l %= Modulo;
            for (var i = 0; i < _height; i++)
                for (var j = 0; j < _width; j++)
                    _data[i, j] = l;
        }

        public Matrix Clone()
        {
            var m = new Matrix(_width, _height);
            Array.Copy(_data, m._data, _data.Length);
            m.Modulo = Modulo;
            return m;
        }

        public long this[int i, int j]
        {
            get { return _data[i, j]; }
            set { _data[i, j] = value % Modulo; }
        }
    }

    public class RedBlackTree<TKey, TValue> : IEnumerable<KeyValuePair<TKey, TValue>>
    {
        private readonly List<Node> _items;
        private Node _root;
        private readonly IComparer<TKey> _comparer;

        public RedBlackTree(int capacity = 10)
        {
            _items = new List<Node>(capacity);
            _comparer = Comparer<TKey>.Default;
        }

        private Node _search(TKey key)
        {
            var node = _root;
            while (node != null)
            {
                var i = _comparer.Compare(key, node.Key);
                if (i == 0) return node;
                node = i > 0 ? node.Right : node.Left;
            }
            return null;
        }

        /// <summary>
        /// Returns lower or equal key
        /// </summary>
        public TKey Lower(TKey key, TKey notFound = default(TKey))
        {
            var node = _root;
            Node good = null;
            while (node != null)
            {
                var i = _comparer.Compare(key, node.Key);
                if (i == 0) return key;
                if (i > 0)
                {
                    good = node;
                    node = node.Right;
                }
                else
                    node = node.Left;
            }
            return good == null ? notFound : good.Key;
        }

        /// <summary>
        /// Returns higher or equal key
        /// </summary>
        public TKey Higher(TKey key, TKey notFound = default(TKey))
        {
            var node = _root;
            Node good = null;
            while (node != null)
            {
                var i = _comparer.Compare(key, node.Key);
                if (i == 0) return key;
                if (i < 0)
                {
                    good = node;
                    node = node.Left;
                }
                else
                    node = node.Right;
            }
            return good == null ? notFound : good.Key;
        }

        /// <summary>
        /// Returns minimum region, which encloses given key
        /// </summary>
        public Tuple<TKey, TKey> Bounds(TKey key, TKey notFound = default(TKey))
        {
            var node = _root;
            Node lower = null;
            Node higher = null;
            while (node != null)
            {
                var i = _comparer.Compare(key, node.Key);
                if (i == 0) return new Tuple<TKey, TKey>(key, key);
                if (i < 0)
                {
                    higher = node;
                    node = node.Left;
                }
                else
                {
                    lower = node;
                    node = node.Right;
                }
            }
            return new Tuple<TKey, TKey>(lower == null ? notFound : lower.Key, higher == null ? notFound : higher.Key);
        }

        public void Add(TKey key, TValue value)
        {
            var node = new Node { Key = key, Value = value, Red = true };
            _items.Add(node);
            if (_root == null)
            {
                _root = node;
                _root.Red = false;
                return;
            }
            var x = _root;
            Node y = null;
            while (x != null)
            {
                y = x;
                x = _comparer.Compare(key, x.Key) > 0 ? x.Right : x.Left;
            }
            node.Parent = y;
            if (y == null) _root = node;
            else if (_comparer.Compare(key, y.Key) > 0) y.Right = node;
            else y.Left = node;
            InsertFixup(node);
        }

        private void InsertFixup(Node node)
        {
            while (true)
            {
                var parent = node.Parent;
                if (parent == null || !parent.Red || parent.Parent == null) break;
                var grand = parent.Parent;

                if (parent == grand.Left)
                {
                    var uncle = grand.Right;
                    if (uncle != null && uncle.Red) /* parent and uncle both red: we could swap colors of them with grand */
                    {
                        parent.Red = false;
                        uncle.Red = false;
                        grand.Red = true;
                        node = grand; /* and continue fixing tree for grand */
                    }
                    else if (node == parent.Right) /* we rotate around the parent */
                    {
                        node = parent;
                        RotateLeft(node);
                    }
                    else /* rotate around grand and switch colors of grand and parent */
                    {
                        parent.Red = false;
                        grand.Red = true;
                        RotateRight(grand);
                        if (grand == _root) _root = parent;
                        break; /* and finish since tree is fixed */
                    }
                }
                else
                {
                    if (_root.Parent != null) Debugger.Break();

                    var uncle = grand.Left;
                    if (uncle != null && uncle.Red) /* parent and uncle both red: we could swap colors of them with grand */
                    {
                        parent.Red = false;
                        uncle.Red = false;
                        grand.Red = true;
                        node = grand; /* and continue fixing tree for grand */
                    }
                    else if (node == parent.Left) /* we rotate around the parent */
                    {
                        node = parent;
                        RotateRight(node);
                    }
                    else /* rotate around grand and switch colors of grand and parent */
                    {
                        parent.Red = false;
                        grand.Red = true;
                        RotateLeft(grand);
                        if (grand == _root) _root = parent;
                        break; /* and finish since tree is fixed */
                    }
                }
            }
            _root.Red = false;
        }

        private void RotateLeft(Node node)
        {
            if (node.Right == null)
                throw new NotSupportedException("Cannot rotate left: right node is missing");
            var parent = node.Parent;
            var right = node.Right;
            right.Parent = parent;
            if (parent != null)
            {
                if (parent.Left == node) parent.Left = right;
                else parent.Right = right;
            }
            node.Right = right.Left;
            if (node.Right != null)
                node.Right.Parent = node;
            right.Left = node;
            node.Parent = right;
        }

        private void RotateRight(Node node)
        {
            if (node.Left == null)
                throw new NotSupportedException("Cannot rotate right: left node is missing");
            var parent = node.Parent;
            var left = node.Left;
            left.Parent = parent;
            if (parent != null)
            {
                if (parent.Left == node) parent.Left = left;
                else parent.Right = left;
            }
            node.Left = left.Right;
            if (node.Left != null)
                node.Left.Parent = node;
            left.Right = node;
            node.Parent = left;
        }

        public void Remove(TKey key)
        {
            var node = _search(key);
            if (node == null) return;

            var deleted = node.Left == null || node.Right == null ? node : Next(node);
            var child = deleted.Left ?? deleted.Right;
            if (child != null)
                child.Parent = deleted.Parent;
            if (deleted.Parent == null) /* root */
                _root = child;
            else if (deleted == deleted.Parent.Left)
                deleted.Parent.Left = child;
            else
                deleted.Parent.Right = child;
            if (node != deleted)
            {
                node.Key = deleted.Key;
                node.Value = deleted.Value;
            }

            if (!deleted.Red)
            {
                DeleteFixup(child, deleted.Parent);
            }
        }

        private void DeleteFixup(Node node, Node parent)
        {
            while (parent != null && (node == null || !node.Red))
            {
                if (node == parent.Left)
                {
                    var brother = parent.Right;
                    if (brother.Red)
                    {
                        brother.Red = false;
                        parent.Red = true;
                        RotateLeft(parent);
                        brother = parent.Right;
                    }
                    if ((brother.Left == null || !brother.Left.Red) && (brother.Right == null || !brother.Right.Red))
                    {
                        node = parent.Red ? _root : parent;
                        brother.Red = true;
                        parent.Red = false;
                    }
                    else
                    {
                        if (brother.Right == null || !brother.Right.Red)
                        {
                            if (brother.Left != null)
                                brother.Left.Red = false;
                            brother.Red = true;
                            RotateRight(brother);
                            brother = parent.Right;
                        }
                        if (!brother.Right.Red) Debugger.Break();
                        brother.Red = parent.Red;
                        parent.Red = false;
                        if (brother.Right != null)
                            brother.Right.Red = false;
                        RotateLeft(parent);
                        node = _root;
                    }
                }
                else
                {
                    var brother = parent.Left;
                    if (brother.Red)
                    {
                        brother.Red = false;
                        parent.Red = true;
                        RotateRight(parent);
                        brother = parent.Left;
                    }
                    if ((brother.Right == null || !brother.Right.Red) && (brother.Left == null || !brother.Left.Red))
                    {
                        node = parent.Red ? _root : parent;
                        brother.Red = true;
                        parent.Red = false;
                    }
                    else
                    {
                        if (brother.Left == null || !brother.Left.Red)
                        {
                            if (brother.Right != null)
                                brother.Right.Red = false;
                            brother.Red = true;
                            RotateLeft(brother);
                            brother = parent.Left;
                        }
                        brother.Red = parent.Red;
                        parent.Red = false;
                        if (brother.Left != null)
                            brother.Left.Red = false;
                        RotateRight(parent);
                        node = _root;
                    }
                }
                parent = node.Parent;
            }

            node.Red = false;
        }

        public TValue this[TKey key]
        {
            get
            {
                var node = _search(key);
                return node == null ? default(TValue) : node.Value;
            }
            set
            {
                var node = _search(key);
                if (node == null) Add(key, value);
                else node.Value = value;
            }
        }

        public bool Check()
        {
            int count;
            return _root == null || _root.Check(out count);
        }

        private Node Minimum(Node node)
        {
            var result = node;
            while (result.Left != null) result = result.Left;
            return result;
        }

        private Node Maximum(Node node)
        {
            var result = node;
            while (result.Right != null) result = result.Right;
            return result;
        }

        private Node Next(Node node)
        {
            Node result;
            if (node.Right != null)
            {
                result = Minimum(node.Right);
            }
            else
            {
                while (node.Parent != null && node.Parent.Right == node)
                    node = node.Parent;
                result = node.Parent;
            }
            return result;
        }

        private Node Previous(Node node)
        {
            Node result;
            if (node.Left != null)
            {
                result = Maximum(node.Left);
            }
            else
            {
                while (node.Parent != null && node.Parent.Left == node)
                    node = node.Parent;
                result = node.Parent;
            }
            return result;
        }

        public void Print()
        {
            var node = Minimum(_root);
            while (node != null)
            {
                Console.Write(node.Red ? '*' : ' ');
                Console.Write(node.Key);
                Console.Write('\t');
                node = Next(node);
            }
        }

        #region Nested classes

        [DebuggerDisplay("{ToString()}")]
        private sealed class Node
        {
            public TKey Key;
            public TValue Value;
            public bool Red;

            public Node Parent;
            public Node Left;
            public Node Right;

            public bool Check(out int count)
            {
                count = 0;
                if (Red)
                {
                    if (Left != null && Left.Red) return false;
                    if (Right != null && Right.Red) return false;
                }
                var left = 0;
                var right = 0;
                if (Left != null && !Left.Check(out left)) return false;
                if (Right != null && !Right.Check(out right)) return false;
                count = left + (Red ? 0 : 1);
                if (left != right)
                {
                    ;
                }
                return left == right;
            }

            public override string ToString()
            {
                return ToShortString(2);
            }

            private string ToShortString(int depth = 0)
            {
                return depth == 0
                    ? string.Format("{0}{1}", Red ? "*" : "", Key)
                    : string.Format("({1}<{0}>{2})", ToShortString(), Left == null ? "null" : Left.ToShortString(depth - 1), Right == null ? "null" : Right.ToShortString(depth - 1));
            }
        }

        #endregion

        #region IEnumerable

        public IEnumerator<KeyValuePair<TKey, TValue>> GetEnumerator()
        {
            throw new NotImplementedException();
        }

        IEnumerator IEnumerable.GetEnumerator()
        {
            return GetEnumerator();
        }

        #endregion
    }

    public class RedBlackTreeSimple<TKey>
    {
        private readonly List<Node> _items;
        private Node _root;
        private readonly IComparer<TKey> _comparer;

        public RedBlackTreeSimple(int capacity = 10)
        {
            _items = new List<Node>(capacity);
            _comparer = Comparer<TKey>.Default;
        }

        private Node _search(TKey key)
        {
            var node = _root;
            while (node != null)
            {
                var i = _comparer.Compare(key, node.Key);
                if (i == 0) return node;
                node = i > 0 ? node.Right : node.Left;
            }
            return null;
        }

        /// <summary>
        /// Returns lower or equal key
        /// </summary>
        public TKey Lower(TKey key, TKey notFound = default(TKey))
        {
            var node = _root;
            Node good = null;
            while (node != null)
            {
                var i = _comparer.Compare(key, node.Key);
                if (i == 0) return key;
                if (i > 0)
                {
                    good = node;
                    node = node.Right;
                }
                else
                    node = node.Left;
            }
            return good == null ? notFound : good.Key;
        }

        /// <summary>
        /// Returns higher or equal key
        /// </summary>
        public TKey Higher(TKey key, TKey notFound = default(TKey))
        {
            var node = _root;
            Node good = null;
            while (node != null)
            {
                var i = _comparer.Compare(key, node.Key);
                if (i == 0) return key;
                if (i < 0)
                {
                    good = node;
                    node = node.Left;
                }
                else
                    node = node.Right;
            }
            return good == null ? notFound : good.Key;
        }

        /// <summary>
        /// Returns minimum region, which encloses given key
        /// </summary>
        public Tuple<TKey, TKey> Bounds(TKey key, TKey notFound = default(TKey))
        {
            var node = _root;
            Node lower = null;
            Node higher = null;
            while (node != null)
            {
                var i = _comparer.Compare(key, node.Key);
                if (i == 0) return new Tuple<TKey, TKey>(key, key);
                if (i < 0)
                {
                    higher = node;
                    node = node.Left;
                }
                else
                {
                    lower = node;
                    node = node.Right;
                }
            }
            return new Tuple<TKey, TKey>(lower == null ? notFound : lower.Key, higher == null ? notFound : higher.Key);
        }

        public void Add(TKey key)
        {
            var node = new Node(key);
            _items.Add(node);
            if (_root == null)
            {
                _root = node;
                _root.Red = false;
                return;
            }
            var x = _root;
            Node y = null;
            while (x != null)
            {
                y = x;
                x = _comparer.Compare(key, x.Key) > 0 ? x.Right : x.Left;
            }
            node.Parent = y;
            if (y == null) _root = node;
            else if (_comparer.Compare(key, y.Key) > 0) y.Right = node;
            else y.Left = node;
            InsertFixup(node);
        }

        private void InsertFixup(Node node)
        {
            while (true)
            {
                var parent = node.Parent;
                if (parent == null || !parent.Red || parent.Parent == null) break;
                var grand = parent.Parent;

                if (parent == grand.Left)
                {
                    var uncle = grand.Right;
                    if (uncle != null && uncle.Red) /* parent and uncle both red: we could swap colors of them with grand */
                    {
                        parent.Red = false;
                        uncle.Red = false;
                        grand.Red = true;
                        node = grand; /* and continue fixing tree for grand */
                    }
                    else if (node == parent.Right) /* we rotate around the parent */
                    {
                        node = parent;
                        RotateLeft(node);
                    }
                    else /* rotate around grand and switch colors of grand and parent */
                    {
                        parent.Red = false;
                        grand.Red = true;
                        RotateRight(grand);
                        if (grand == _root) _root = parent;
                        break; /* and finish since tree is fixed */
                    }
                }
                else
                {
                    if (_root.Parent != null) Debugger.Break();

                    var uncle = grand.Left;
                    if (uncle != null && uncle.Red) /* parent and uncle both red: we could swap colors of them with grand */
                    {
                        parent.Red = false;
                        uncle.Red = false;
                        grand.Red = true;
                        node = grand; /* and continue fixing tree for grand */
                    }
                    else if (node == parent.Left) /* we rotate around the parent */
                    {
                        node = parent;
                        RotateRight(node);
                    }
                    else /* rotate around grand and switch colors of grand and parent */
                    {
                        parent.Red = false;
                        grand.Red = true;
                        RotateLeft(grand);
                        if (grand == _root) _root = parent;
                        break; /* and finish since tree is fixed */
                    }
                }
            }
            _root.Red = false;
        }

        private void RotateLeft(Node node)
        {
            if (node.Right == null)
                throw new NotSupportedException("Cannot rotate left: right node is missing");
            var parent = node.Parent;
            var right = node.Right;
            right.Parent = parent;
            if (parent != null)
            {
                if (parent.Left == node) parent.Left = right;
                else parent.Right = right;
            }
            node.Right = right.Left;
            if (node.Right != null)
                node.Right.Parent = node;
            right.Left = node;
            node.Parent = right;
        }

        private void RotateRight(Node node)
        {
            if (node.Left == null)
                throw new NotSupportedException("Cannot rotate right: left node is missing");
            var parent = node.Parent;
            var left = node.Left;
            left.Parent = parent;
            if (parent != null)
            {
                if (parent.Left == node) parent.Left = left;
                else parent.Right = left;
            }
            node.Left = left.Right;
            if (node.Left != null)
                node.Left.Parent = node;
            left.Right = node;
            node.Parent = left;
        }

        public void Remove(TKey key)
        {
            var node = _search(key);
            if (node == null) return;

            var deleted = node.Left == null || node.Right == null ? node : Next(node);
            var child = deleted.Left ?? deleted.Right;
            if (child != null)
                child.Parent = deleted.Parent;
            if (deleted.Parent == null) /* root */
                _root = child;
            else if (deleted == deleted.Parent.Left)
                deleted.Parent.Left = child;
            else
                deleted.Parent.Right = child;
            if (node != deleted)
            {
                node.Key = deleted.Key;
            }

            if (!deleted.Red)
            {
                DeleteFixup(child, deleted.Parent);
            }
        }

        private void DeleteFixup(Node node, Node parent)
        {
            while (parent != null && (node == null || !node.Red))
            {
                if (node == parent.Left)
                {
                    var brother = parent.Right;
                    if (brother.Red)
                    {
                        brother.Red = false;
                        parent.Red = true;
                        RotateLeft(parent);
                        brother = parent.Right;
                    }
                    if ((brother.Left == null || !brother.Left.Red) && (brother.Right == null || !brother.Right.Red))
                    {
                        node = parent.Red ? _root : parent;
                        brother.Red = true;
                        parent.Red = false;
                    }
                    else
                    {
                        if (brother.Right == null || !brother.Right.Red)
                        {
                            if (brother.Left != null)
                                brother.Left.Red = false;
                            brother.Red = true;
                            RotateRight(brother);
                            brother = parent.Right;
                        }
                        if (!brother.Right.Red) Debugger.Break();
                        brother.Red = parent.Red;
                        parent.Red = false;
                        if (brother.Right != null)
                            brother.Right.Red = false;
                        RotateLeft(parent);
                        node = _root;
                    }
                }
                else
                {
                    var brother = parent.Left;
                    if (brother.Red)
                    {
                        brother.Red = false;
                        parent.Red = true;
                        RotateRight(parent);
                        brother = parent.Left;
                    }
                    if ((brother.Right == null || !brother.Right.Red) && (brother.Left == null || !brother.Left.Red))
                    {
                        node = parent.Red ? _root : parent;
                        brother.Red = true;
                        parent.Red = false;
                    }
                    else
                    {
                        if (brother.Left == null || !brother.Left.Red)
                        {
                            if (brother.Right != null)
                                brother.Right.Red = false;
                            brother.Red = true;
                            RotateLeft(brother);
                            brother = parent.Left;
                        }
                        brother.Red = parent.Red;
                        parent.Red = false;
                        if (brother.Left != null)
                            brother.Left.Red = false;
                        RotateRight(parent);
                        node = _root;
                    }
                }
                parent = node.Parent;
            }

            node.Red = false;
        }

        private Node Minimum(Node node)
        {
            var result = node;
            while (result.Left != null) result = result.Left;
            return result;
        }

        private Node Maximum(Node node)
        {
            var result = node;
            while (result.Right != null) result = result.Right;
            return result;
        }

        private Node Next(Node node)
        {
            Node result;
            if (node.Right != null)
            {
                result = Minimum(node.Right);
            }
            else
            {
                while (node.Parent != null && node.Parent.Right == node)
                    node = node.Parent;
                result = node.Parent;
            }
            return result;
        }

        private Node Previous(Node node)
        {
            Node result;
            if (node.Left != null)
            {
                result = Maximum(node.Left);
            }
            else
            {
                while (node.Parent != null && node.Parent.Left == node)
                    node = node.Parent;
                result = node.Parent;
            }
            return result;
        }

        public void Print()
        {
            var node = Minimum(_root);
            while (node != null)
            {
                Console.Write(node.Red ? '*' : ' ');
                Console.Write(node.Key);
                Console.Write('\t');
                node = Next(node);
            }
        }

        #region Nested classes

        private sealed class Node
        {
            public Node(TKey key)
            {
                Key = key;
            }

            public TKey Key;
            public bool Red = true;

            public Node Parent;
            public Node Left;
            public Node Right;
        }

        #endregion
    }

    /// <summary>
    /// Fenwick tree for summary on the array
    /// </summary>
    public class FenwickSum
    {
        public readonly int Size;
        private readonly int[] _items;
        public FenwickSum(int size)
        {
            Size = size;
            _items = new int[Size];
        }

        public FenwickSum(IList<int> items)
            : this(items.Count)
        {
            for (var i = 0; i < Size; i++)
                Increase(i, items[i]);
        }

        private int Sum(int r)
        {
            if (r < 0) return 0;
            if (r >= Size) r = Size - 1;
            var result = 0;
            for (; r >= 0; r = (r & (r + 1)) - 1)
                result += _items[r];
            return result;
        }

        private int Sum(int l, int r)
        {
            return Sum(r) - Sum(l - 1);
        }

        public int this[int r]
        {
            get { return Sum(r); }
        }

        public int this[int l, int r]
        {
            get { return Sum(l, r); }
        }

        public void Increase(int i, int delta)
        {
            for (; i < Size; i = i | (i + 1))
                _items[i] += delta;
        }
    }

    /// <summary>
    /// Prime numbers
    /// </summary>
    public class Primes
    {
        /// <summary>
        /// Returns prime numbers in O(n)
        /// Returns lowet divisors as well
        /// Memory O(n)
        /// </summary>
        public static void ImprovedSieveOfEratosthenes(int n, out int[] lp, out List<int> pr)
        {
            lp = new int[n];
            pr = new List<int>();
            for (var i = 2; i < n; i++)
            {
                if (lp[i] == 0)
                {
                    lp[i] = i;
                    pr.Add(i);
                }
                foreach (var prJ in pr)
                {
                    var prIj = i * prJ;
                    if (prJ <= lp[i] && prIj <= n - 1)
                    {
                        lp[prIj] = prJ;
                    }
                    else
                    {
                        break;
                    }
                }
            }
        }

        /// <summary>
        /// Returns prime numbers in O(n*n)
        /// </summary>
        public static void SieveOfEratosthenes(int n, out List<int> pr)
        {
            var m = 2 * n / 5;
            pr = new List<int> { 2 };
            var f = new bool[n + 1];
            for (var i = 3; i <= m; i += 2)
                if (!f[i])
                    for (long j = (long)i * i; j <= n; j += i)
                        f[j] = true;
            for (var i = 3; i <= n; i += 2)
                if (!f[i])
                    pr.Add(i);
        }

        /// <summary>
        /// Returns array of inverted prime numbers map in O(n*n)
        /// </summary>
        public static void SieveOfEratosthenes(int n, out bool[] isPrime)
        {
            var m = 2 * n / 5;
            var f = new bool[n + 1];
            for (var i = 3; i <= m; i += 2)
                if (!f[i])
                    for (long j = (long)i * i; j <= n; j += i)
                        f[j] = true;
            isPrime = f;
        }

        /// <summary>
        /// Greatest common divisor
        /// </summary>
        public static int Gcd(int x, int y)
        {
            while (y != 0)
            {
                var c = y;
                y = x % y;
                x = c;
            }
            return x;
        }

        /// <summary>
        /// Greatest common divisor
        /// </summary>
        public static long Gcd(long x, long y)
        {
            while (y != 0)
            {
                var c = y;
                y = x % y;
                x = c;
            }
            return x;
        }

        /// <summary>
        /// Greatest common divisor
        /// </summary>
        public static BigInteger Gcd(BigInteger x, BigInteger y)
        {
            while (y != 0)
            {
                var c = y;
                y = x % y;
                x = c;
            }
            return x;
        }

        /// <summary>
        /// Returns all divisors of n in O(√n)
        /// </summary>
        public static IEnumerable<long> GetDivisors(long n)
        {
            long r;
            while (true)
            {
                var x = Math.DivRem(n, 2, out r);
                if (r != 0) break;
                n = x;
                yield return 2;
            }
            var i = 3;
            while (i <= Math.Sqrt(n))
            {
                var x = Math.DivRem(n, i, out r);
                if (r == 0)
                {
                    n = x;
                    yield return i;
                }
                else i += 2;
            }
            if (n != 1) yield return n;
        }
    }

    /// <summary>
    /// Graph matching algorithms
    /// </summary>
    public class GraphMatching
    {
        #region Kuhn algorithm

        /// <summary>
        /// Kuhn algorithm for finding maximal matching
        /// in bipartite graph
        /// Vertexes are numerated from zero: 0, 1, 2, ... n-1
        /// Return array of matchings
        /// </summary>
        public static int[] Kuhn(List<int>[] g, int leftSize, int rightSize)
        {
            Debug.Assert(g.Count() == leftSize);

            var matching = new int[leftSize];
            for (var i = 0; i < rightSize; i++)
                matching[i] = -1;
            var used = new bool[leftSize];

            for (var v = 0; v < leftSize; v++)
            {
                Array.Clear(used, 0, leftSize);
                _kuhn_dfs(v, g, matching, used);
            }

            return matching;
        }

        private static bool _kuhn_dfs(int v, List<int>[] g, int[] matching, bool[] used)
        {
            if (used[v]) return false;
            used[v] = true;
            for (var i = 0; i < g[v].Count; i++)
            {
                var to = g[v][i];
                if (matching[to] == -1 || _kuhn_dfs(matching[to], g, matching, used))
                {
                    matching[to] = v;
                    return true;
                }
            }
            return false;
        }

        #endregion
    }
}


using System;
using System.Collections.Generic;
using System.Globalization;
using System.IO;
using System.Linq;
using System.Text;
using System.Threading;

// (づ°ω°)づﾐe★゜・。。・゜゜・。。・゜☆゜・。。・゜゜・。。・゜
public class Solver
{
    public void Solve()
    {
        int n = ReadInt();
        int l = ReadInt();
        int r = ReadInt();

        var x = new int[n];
        var y = new int[n];
        var a = new double[n];
        for (int i = 0; i < n; i++)
        {
            x[i] = ReadInt();
            y[i] = ReadInt();
            a[i] = Math.PI * ReadInt() / 180;
        }

        var dp = Enumerable.Repeat((double)l, 1 << n).ToArray();
        dp[0] = l;
        for (int mask = 0; mask < (1 << n) - 1; mask++)
        {
            for (int j = 0; j < n; j++)
                if ((mask >> j & 1) == 0)
                {
                    if (x[j] > dp[mask])
                    {
                        double al = Math.Atan2(x[j] - dp[mask], y[j]);
                        if (al < a[j])
                            dp[mask | 1 << j] = Math.Max(dp[mask | 1 << j], x[j] - y[j] * Math.Tan(al - a[j]));
                        else
                            dp[mask | 1 << j] = Math.Max(dp[mask | 1 << j], x[j] + y[j] * Math.Tan(a[j] - al));
                    }
                    else
                    {
                        double al = Math.Atan2(dp[mask] - x[j], y[j]);
                        if (al + a[j] > Math.PI / 2)
                        {
                            Write(r - l);
                            return;
                        }
                        dp[mask | 1 << j] = Math.Max(dp[mask | 1 << j], x[j] + y[j] * Math.Tan(a[j] + al));
                    }
                }
        }

        Write((Math.Min(r, dp[(1 << n) - 1]) - l).ToString(CultureInfo.InvariantCulture));
    }

    #region Main

    protected static TextReader reader;
    protected static TextWriter writer;
    static void Main()
    {
#if DEBUG
        reader = new StreamReader("..\\..\\input.txt");
        //reader = new StreamReader(Console.OpenStandardInput());
        writer = Console.Out;
        //writer = new StreamWriter("..\\..\\output.txt");
#else
        reader = new StreamReader(Console.OpenStandardInput());
        writer = new StreamWriter(Console.OpenStandardOutput());
        //reader = new StreamReader("input.txt");
        //writer = new StreamWriter("output.txt");
#endif
        try
        {
            //var thread = new Thread(new Solver().Solve, 1024 * 1024 * 128);
            //thread.Start();
            //thread.Join();
            new Solver().Solve();
        }
        catch (Exception ex)
        {
            Console.WriteLine(ex);
#if DEBUG
#else
            throw;
#endif
        }
        reader.Close();
        writer.Close();
    }

    #endregion

    #region Read / Write
    private static Queue<string> currentLineTokens = new Queue<string>();
    private static string[] ReadAndSplitLine() { return reader.ReadLine().Split(new[] { ' ', '\t', }, StringSplitOptions.RemoveEmptyEntries); }
    public static string ReadToken() { while (currentLineTokens.Count == 0)currentLineTokens = new Queue<string>(ReadAndSplitLine()); return currentLineTokens.Dequeue(); }
    public static int ReadInt() { return int.Parse(ReadToken()); }
    public static long ReadLong() { return long.Parse(ReadToken()); }
    public static double ReadDouble() { return double.Parse(ReadToken(), CultureInfo.InvariantCulture); }
    public static int[] ReadIntArray() { return ReadAndSplitLine().Select(int.Parse).ToArray(); }
    public static long[] ReadLongArray() { return ReadAndSplitLine().Select(long.Parse).ToArray(); }
    public static double[] ReadDoubleArray() { return ReadAndSplitLine().Select(s => double.Parse(s, CultureInfo.InvariantCulture)).ToArray(); }
    public static int[][] ReadIntMatrix(int numberOfRows) { int[][] matrix = new int[numberOfRows][]; for (int i = 0; i < numberOfRows; i++)matrix[i] = ReadIntArray(); return matrix; }
    public static int[][] ReadAndTransposeIntMatrix(int numberOfRows)
    {
        int[][] matrix = ReadIntMatrix(numberOfRows); int[][] ret = new int[matrix[0].Length][];
        for (int i = 0; i < ret.Length; i++) { ret[i] = new int[numberOfRows]; for (int j = 0; j < numberOfRows; j++)ret[i][j] = matrix[j][i]; } return ret;
    }
    public static string[] ReadLines(int quantity) { string[] lines = new string[quantity]; for (int i = 0; i < quantity; i++)lines[i] = reader.ReadLine().Trim(); return lines; }
    public static void WriteArray<T>(IEnumerable<T> array) { writer.WriteLine(string.Join(" ", array)); }
    public static void Write(params object[] array) { WriteArray(array); }
    public static void WriteLines<T>(IEnumerable<T> array) { foreach (var a in array)writer.WriteLine(a); }
    private class SDictionary<TKey, TValue> : Dictionary<TKey, TValue>
    {
        public new TValue this[TKey key]
        {
            get { return ContainsKey(key) ? base[key] : default(TValue); }
            set { base[key] = value; }
        }
    }
    private static T[] Init<T>(int size) where T : new() { var ret = new T[size]; for (int i = 0; i < size; i++)ret[i] = new T(); return ret; }
    #endregion
}