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: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using static System.Console;
using static System.Math;

namespace AtTest.ABC_128
{
    class E
    {
        static void Main(string[] args)
        {
            Method(args);
        }

        static void Method(string[] args)
        {
            int[] nq = ReadInts();
            int n = nq[0];
            int q = nq[1];
            var queue = new PriorityQueue<Event>();
            for (int i = 0; i < n; i++)
            {
                int[] stxs = ReadInts();
                stxs[0] -= stxs[2];
                stxs[1] -= stxs[2];
                queue.Enqueue(new Event(stxs[0], 1, stxs[2]));
                queue.Enqueue(new Event(stxs[1], 0, stxs[2]));
            }

            var qs = new int[q][];
            for (int i = 0; i < q; i++)
            {
                qs[i] = new int[2] { ReadInt(), i };
            }
            
            int[] res = new int[q];
            var hashSet = new SortedSet<int>();
            for (int i = 0; i <q ; i++)
            {
                while (queue.Count>0
                    && queue.Top().time <= qs[i][0])
                {
                    switch (queue.Top().no)
                    {
                        case 1:
                            hashSet.Add(queue.Top().pos);
                            break;
                        case 0:
                            hashSet.Remove(queue.Top().pos);
                            break;
                    }
                    queue.Dequeue();
                }
                if (hashSet.Count > 0) res[qs[i][1]] = hashSet.First();
                else res[qs[i][1]] = -1;
            }

            for (int i = 0; i < q; i++) WriteLine(res[i]);
        }

        class Event : IComparable<Event>
        {
            public int time;
            public int no;
            public int pos;

            public Event(int time, int no, int pos)
            {
                this.time = time;
                this.no = no;
                this.pos = pos;
            }

            public int CompareTo(Event other)
            {
                if (time < other.time) return -1;
                if (time == other.time)
                {
                    if (no < other.no) return -1;
                    if (no == other.no) return 0;
                    else return 1;
                }
                else return 1;
            }
        }
        class PriorityQueue<T> where T : IComparable<T>
        {
            private readonly List<T> list;

            public int Count { get; private set; }

            public PriorityQueue()
            {
                list = new List<T>();
                Count = 0;
            }

            private void Add(T value)
            {
                if (Count == list.Count)
                {
                    list.Add(value);
                }
                else
                {
                    list[Count] = value;
                }
                Count++;
            }

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

            public void Enqueue(T value)
            {
                Add(value);
                int c = Count - 1;
                while (c > 0)
                {
                    int p = (c - 1) / 2;
                    if (list[c].CompareTo(list[p]) >= 0) break;

                    Swap(p, c);
                    c = p;
                }
            }

            public T Top()
            {
                return list[0];
            }

            public T Dequeue()
            {
                T value = list[0];
                Count--;
                if (Count == 0) return value;

                list[0] = list[Count];
                int p = 0;
                while (true)
                {
                    int c1 = p * 2 + 1;
                    int c2 = p * 2 + 2;
                    if (c1 >= Count) break;

                    int c = (c2 >= Count || list[c1].CompareTo(list[c2]) == -1)
                        ? c1 : c2;
                    if (list[c].CompareTo(list[p]) >= 0) break;

                    Swap(p, c);
                    p = c;
                }
                return value;
            }
        }

        private static string Read() { return ReadLine(); }
        private static char[] ReadChars() { return Array.ConvertAll(Read().Split(), a => a[0]); }
        private static int ReadInt() { return int.Parse(Read()); }
        private static long ReadLong() { return long.Parse(Read()); }
        private static double ReadDouble() { return double.Parse(Read()); }
        private static int[] ReadInts() { return Array.ConvertAll(Read().Split(), int.Parse); }
        private static long[] ReadLongs() { return Array.ConvertAll(Read().Split(), long.Parse); }
        private static double[] ReadDoubles() { return Array.ConvertAll(Read().Split(), double.Parse); }
    }
}