Problem:
Score : 500 points

Problem Statement

There is an infinitely long street that runs west to east, which we consider as a number line.

There are N roadworks scheduled on this street.
The i-th roadwork blocks the point at coordinate X_i from time S_i - 0.5 to time T_i - 0.5.

Q people are standing at coordinate 0. The i-th person will start the coordinate 0 at time D_i, continue to walk with speed 1 in the positive direction and stop walking when reaching a blocked point.

Find the distance each of the Q people will walk.

Constraints

All values in input are integers.

1 \leq N, Q \leq 2 \times 10^5

0 \leq S_i < T_i \leq 10^9

1 \leq X_i \leq 10^9

0 \leq D_1 < D_2 < ... < D_Q \leq 10^9

If i \neq j and X_i = X_j, the intervals [S_i, T_i) and [S_j, T_j) do not overlap.

Input

Input is given from Standard Input in the following format:

N Q
S_1 T_1 X_1
:
S_N T_N X_N
D_1
:
D_Q

Output

Print Q lines. The i-th line should contain the distance the i-th person will walk or -1 if that person walks forever.

Sample Input 1

4 6
1 3 2
7 13 10
18 20 13
3 4 2
0
1
2
3
5
8

Sample Output 1

2
2
10
-1
13
-1

The first person starts coordinate 0 at time 0 and stops walking at coordinate 2 when reaching a point blocked by the first roadwork at time 2.

The second person starts coordinate 0 at time 1 and reaches coordinate 2 at time 3. The first roadwork has ended, but the fourth roadwork has begun, so this person also stops walking at coordinate 2.

The fourth and sixth persons encounter no roadworks while walking, so they walk forever. The output for these cases is -1.

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

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

partial class Solver
{
    public class Data
    {
        public int Id { get; set; }
        public int Value { get; set; }
    }

    public void Run()
    {
        var N = ni();
        var Q = ni();
        var S = new int[N];
        var T = new int[N];
        var X = new int[N];
        for (int i = 0; i < N; i++)
        {
            S[i] = ni();
            T[i] = ni();
            X[i] = ni();
        }
        var D = ni(Q);

        var stopInfo = Enumerable.Range(0, N)
            .SelectMany(i => new[]
            {
                new { IsPush = true, Time = S[i] - X[i], X = X[i], Id = i },
                new { IsPush = false, Time = T[i] - X[i], X = X[i], Id = i },
            })
            .OrderBy(t => t.Time)
            .ThenBy(t => t.IsPush ? 1 : 0)
            .ToArray();

        var isRemoved = new bool[N];

        var pq = new PriorityQueue<Data>((d1, d2) => d1.Value.CompareTo(d2.Value));
        int cur = 0;
        foreach (var d in D)
        {
            while (cur < stopInfo.Length)
            {
                var info = stopInfo[cur];
                if (info.Time <= d)
                {
                    cur++;
                    if (info.IsPush)
                    {
                        if (!isRemoved[info.Id])
                        {
                            pq.Enqueue(new Data
                            {
                                Id = info.Id,
                                Value = info.X
                            });
                        }
                    }
                    else
                    {
                        isRemoved[info.Id] = true;
                    }
                }
                else
                {
                    break;
                }
            }

            int ans = -1;

            while (pq.Any())
            {
                var top = pq.Peek();
                if (isRemoved[top.Id])
                {
                    pq.Dequeue();
                }
                else
                {
                    ans = top.Value;
                    break;
                }
            }
            cout.WriteLine(ans);
        }
    }
}


public class PriorityQueue<T>
{
    private T[] array = new T[100];
    private int size = 0;
    private readonly Comparer<T> _comparer;

    public PriorityQueue()
    {
        this._comparer = Comparer<T>.Default;
    }

    public PriorityQueue(Comparison<T> comp)
    {
        this._comparer = Comparer<T>.Create(comp);
    }

    private void Swap(int a, int b)
    {
        T t = array[a];
        array[a] = array[b];
        array[b] = t;
    }

    private void Expand()
    {
        var newlist = new T[array.Length * 2];
        Array.Copy(array, newlist, array.Length);
        array = newlist;
    }

    public bool Any()
    {
        return size > 0;
    }

    public void Enqueue(T newValue)
    {
        if (size >= array.Length)
        {
            Expand();
        }
        array[size++] = newValue;
        int pos = size - 1;
        while (pos > 0)
        {
            int parent = (pos - 1) / 2;
            if (_comparer.Compare(array[parent], array[pos]) > 0)
            {
                Swap(parent, pos);
                pos = parent;
            }
            else
                break;
        }
    }

    public T Peek()
    {
        return array[0];
    }

    public T Dequeue()
    {
        var top = array[0];
        array[0] = array[--size];
        int pos = 0;
        while (pos * 2 + 1 < size)
        {
            int left = pos * 2 + 1;
            int right = left + 1;
            int next = left;
            if (right < size && _comparer.Compare(array[left], array[right]) > 0)
                next = right;

            if (_comparer.Compare(array[pos], array[next]) > 0)
            {
                Swap(next, pos);
                pos = next;
            }
            else
                break;
        }

        return top;
    }
};



// PREWRITEN CODE BEGINS FROM HERE
partial class Solver : Scanner
{
    public static void Main(string[] args)
    {
#if LOCAL
        new Solver(Console.In, Console.Out).Run();
#else
        Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        new Solver(Console.In, Console.Out).Run();
        Console.Out.Flush();
#endif
    }

    TextReader cin;
    TextWriter cout;

    public Solver(TextReader reader, TextWriter writer)
        : base(reader)
    {
        this.cin = reader;
        this.cout = writer;
    }
    public Solver(string input, TextWriter writer)
        : this(new StringReader(input), writer)
    {
    }

    public int ni() { return NextInt(); }
    public int[] ni(int n) { return NextIntArray(n); }
    public long nl() { return NextLong(); }
    public long[] nl(int n) { return NextLongArray(n); }
    public double nd() { return NextDouble(); }
    public string ns() { return Next(); }
}

public class Scanner
{
    private TextReader Reader;
    private Queue<String> TokenQueue = new Queue<string>();
    private readonly CultureInfo ci = CultureInfo.InvariantCulture;

    public Scanner()
        : this(Console.In)
    {
    }

    public Scanner(TextReader reader)
    {
        this.Reader = reader;
    }

    public int NextInt() { return Int32.Parse(Next(), ci); }
    public long NextLong() { return Int64.Parse(Next(), ci); }
    public double NextDouble() { return double.Parse(Next(), ci); }
    public string[] NextArray(int size)
    {
        var array = new string[size];
        for (int i = 0; i < size; i++) array[i] = Next();
        return array;
    }
    public int[] NextIntArray(int size)
    {
        var array = new int[size];
        for (int i = 0; i < size; i++) array[i] = NextInt();
        return array;
    }

    public long[] NextLongArray(int size)
    {
        var array = new long[size];
        for (int i = 0; i < size; i++) array[i] = NextLong();
        return array;
    }

    public String Next()
    {
        if (TokenQueue.Count == 0)
        {
            if (!StockTokens()) throw new InvalidOperationException();
        }
        return TokenQueue.Dequeue();
    }

    public bool HasNext()
    {
        if (TokenQueue.Count > 0)
            return true;
        return StockTokens();
    }

    private bool StockTokens()
    {
        while (true)
        {
            var line = Reader.ReadLine();
            if (line == null) return false;
            var tokens = line.Trim().Split(" ".ToCharArray(), StringSplitOptions.RemoveEmptyEntries);
            if (tokens.Length == 0) continue;
            foreach (var token in tokens)
                TokenQueue.Enqueue(token);
            return true;
        }
    }
}