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: Runtime Error)

using System;
using System.Collections.Generic;
using System.Linq;

    class Program
    {
        static int n; // roadWorks count
        static int q; // people count
        static absoluteRoadWorkTime firstNode;

        static void Main(string[] args)
        {
            // read n, m;
            string[] nq = Console.ReadLine().Split(' ');
            n = Convert.ToInt32(nq[0]);
            q = Convert.ToInt32(nq[1]);

            // read roadwork value
            for (int i = 0; i < n; i++)
            {
                string[] rd = Console.ReadLine().Split(' ');
                int pos = Convert.ToInt32(rd[2]); // roadwork position
                int start = Convert.ToInt32(rd[0]) - pos;
                if (start < 0) start = 0;
                int end = Convert.ToInt32(rd[1]) - pos - 1;
                if (end < 0) end = 0;

                absoluteRoadWorkTime tempNode = new absoluteRoadWorkTime()
                {
                    pos = pos,
                    leftTime = start,
                    rightTime = end
                };
                if (firstNode == null)
                    firstNode = tempNode;
                else
                    firstNode.Inserted(tempNode);
            }

            int[] qs = new int[q];

            for (int i = 0; i < q; i++)
            {
                qs[i] = Convert.ToInt32(Console.ReadLine());
            }

            for (int i = 0; i < q; i++)
            {
                Console.WriteLine(firstNode.blockedPos(qs[i]));
            }
        }
    }
    class absoluteRoadWorkTime
    {
        public int leftTime;
        public int rightTime;
        public int pos;
        public absoluteRoadWorkTime left;
        public absoluteRoadWorkTime right;
        public absoluteRoadWorkTime parent;

        public int blockedPos(int startTime)
        {
            if (leftTime > startTime)
            {
                if (left != null)
                    return left.blockedPos(startTime);
                else
                    return -1;
            }
            else if (rightTime < startTime)
            {
                if (right != null)
                    return right.blockedPos(startTime);
                else
                    return -1;
            }
            else
                return pos;
        }
        public void Inserted(absoluteRoadWorkTime input)
        {
            if (input != null)
            {
                //simple condition
                if (input.leftTime > rightTime)
                    InsertRight(input);
                else if (input.rightTime < leftTime)
                    InsertLeft(input);

                // not simple
                if (pos > input.pos)
                    InsertedFaster(input);
                else
                    InsertedLatter(input);
            }
        }
        void InsertedFaster(absoluteRoadWorkTime input) // input pos more faster
        {
            if (input.leftTime == leftTime && input.rightTime == rightTime) // input same
                pos = input.pos;
            else if (input.leftTime <= leftTime && input.rightTime >= rightTime) // input bigger than this
            {
                pos = input.pos;
                absoluteRoadWorkTime templft = new absoluteRoadWorkTime()
                {
                    leftTime = input.leftTime,
                    rightTime = ((this.leftTime < 1) ? 0 : this.leftTime - 1),
                    pos = input.pos
                };

                absoluteRoadWorkTime temprgt = new absoluteRoadWorkTime()
                {
                    leftTime = this.rightTime + 1,
                    rightTime = input.rightTime,
                    pos = input.pos
                };

                if (!(templft.leftTime == leftTime && templft.rightTime == rightTime))
                    InsertLeft(templft);
                InsertRight(temprgt);
            }
            else if (input.leftTime > leftTime && input.rightTime < rightTime) // input included in this
            {
                leftTime = input.leftTime;
                rightTime = input.rightTime;
                pos = input.pos;
                absoluteRoadWorkTime templft = new absoluteRoadWorkTime()
                {
                    leftTime = this.leftTime,
                    rightTime = ((input.leftTime < 1) ? 0 : input.leftTime - 1),
                    pos = input.pos,
                    left = this.left
                };
                left.parent = templft;

                absoluteRoadWorkTime temprgt = new absoluteRoadWorkTime()
                {
                    leftTime = input.rightTime + 1,
                    rightTime = this.rightTime,
                    pos = input.pos,
                    right = this.right
                };
                right.parent = temprgt;

                this.Inserted(templft);
                this.Inserted(temprgt);
            }
            else // share some area
            {
                if (input.leftTime <= leftTime) // input was leftside
                {
                    if (leftTime <= input.rightTime)
                        this.leftTime = input.rightTime + 1;
                    InsertLeft(input);
                }
                else if (input.rightTime >= rightTime) // input was rightside
                {
                    if (rightTime >= input.leftTime)
                        this.rightTime = ((input.leftTime < 1) ? 0 : input.leftTime - 1);
                    InsertRight(input);
                }
                else
                {
                    // this not happend
                }
            }
        }
        void InsertedLatter(absoluteRoadWorkTime input) // input pos more latter
        {
            if (input.leftTime == leftTime && input.rightTime == rightTime) // input same
            {
                // nothing
            }
            else if (input.leftTime <= leftTime && input.rightTime >= rightTime) // input bigger than this
            {
                absoluteRoadWorkTime templft = new absoluteRoadWorkTime()
                {
                    leftTime = input.leftTime,
                    rightTime = ((this.leftTime < 1) ? 0 : this.leftTime - 1),
                    pos = input.pos
                };

                absoluteRoadWorkTime temprgt = new absoluteRoadWorkTime()
                {
                    leftTime = this.rightTime + 1,
                    rightTime = input.rightTime,
                    pos = input.pos
                };

                if(!(templft.leftTime == leftTime && templft.rightTime == rightTime))
                    InsertLeft(templft);

                if (!(temprgt.leftTime == leftTime && temprgt.rightTime == rightTime))
                InsertRight(temprgt);
            }
            else if (input.leftTime > leftTime && input.rightTime < rightTime) // input included in this
            {
                // nothing
            }
            else // share some area
            {
                if (input.leftTime <= leftTime) // input was leftside
                {
                    if (leftTime <= input.rightTime)
                        input.rightTime = ((this.leftTime < 1) ? 0 : this.leftTime - 1);
                    InsertLeft(input);
                }
                else if (input.rightTime >= rightTime) // input was rightside
                {
                    if (rightTime >= input.leftTime)
                        input.leftTime = this.rightTime + 1;
                    InsertRight(input);
                }
                else
                {
                    // this not happend
                }
            }
        }
        void InsertLeft(absoluteRoadWorkTime input)
        {
            if (left == null)
                left = input;
            else
                left.Inserted(input);
            input.parent = this;
        }
        void InsertRight(absoluteRoadWorkTime input)
        {
            if (right == null)
                right = input;
            else
                right.Inserted(input);
            input.parent = this;
        }
    }