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.Linq;
using System.Collections.Generic;
using Debug = System.Diagnostics.Debug;
using SB = System.Text.StringBuilder;
using System.Numerics;
using static System.Math;
using Number = System.Int64;
namespace Program {
    public class Solver {
        Random rnd = new Random(0);

        public void Solve() {
            var n = ri;
            var q = ri;
            var Q = Enumerate(n, x => new long[] { rl, rl, rl });
            var D = Enumerate(q, x => rl);
            var s = new Set<long>();
            foreach (var x in D) s.Add(x);

            var ans = Enumerate(q, x => -1L);

            foreach (var query in Q.OrderBy(x => x[2])) {
                var L = query[0] - query[2];
                var R = query[1] - query[2];
                var lb = s.LowerBound(L);
                while (lb < s.Count && s[lb] < R) {
                    var v = s[lb];
                    ans[Array.BinarySearch(D, v)] = query[2];
                    s.RemoveAt(lb);
                }
            }
            foreach (var x in ans) Console.WriteLine(x);
        }



        const long INF = 1L << 60;
        int ri => sc.Integer();
        long rl => sc.Long();
        double rd => sc.Double();
        string rs => sc.Scan();
        public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());

        static IEnumerable<int> Rep(int n) => Enumerable.Range(0, n);
        static IEnumerable<int> RRep(int n) => Enumerable.Range(0, n).Reverse();
        static T[] Enumerate<T>(int n, Func<int, T> f) {
            var a = new T[n];
            for (int i = 0; i < a.Length; ++i) a[i] = f(i);
            return a;
        }
        static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
    }
}

#region main
static class Ex {
    static public string AsString(this IEnumerable<char> ie) { return new string(ie.ToArray()); }
    static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") {
        return string.Join(st, ie);
    }
    static public void Main() {
        Console.SetOut(new Program.IO.Printer(Console.OpenStandardOutput()) { AutoFlush = false });
        var solver = new Program.Solver();
        solver.Solve();
        Console.Out.Flush();
    }
}
#endregion
#region Ex
namespace Program.IO {
    using System.IO;
    using System.Text;
    using System.Globalization;

    public class Printer : StreamWriter {
        public override IFormatProvider FormatProvider => CultureInfo.InvariantCulture;
        public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
    }

    public class StreamScanner {
        public StreamScanner(Stream stream) { str = stream; }

        public readonly Stream str;
        private readonly byte[] buf = new byte[1024];
        private int len, ptr;
        public bool isEof = false;

        private byte read() {
            if (isEof) return 0;
            if (ptr >= len) {
                ptr = 0;
                if ((len = str.Read(buf, 0, 1024)) <= 0) {
                    isEof = true;
                    return 0;
                }
            }
            return buf[ptr++];
        }

        public char Char() {
            byte b = 0;
            do b = read(); while ((b < 33 || 126 < b) && !isEof);
            return (char)b;
        }
        public string Scan() {
            var sb = new StringBuilder();
            for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b);
            return sb.ToString();
        }
        public string ScanLine() {
            var sb = new StringBuilder();
            for (var b = Char(); b != '\n' && b != 0; b = (char)read()) if (b != '\r') sb.Append(b);
            return sb.ToString();
        }
        public long Long() { return isEof ? long.MinValue : long.Parse(Scan()); }
        public int Integer() { return isEof ? int.MinValue : int.Parse(Scan()); }
        public double Double() { return isEof ? double.NaN : double.Parse(Scan(), CultureInfo.InvariantCulture); }
    }
}

#endregion


#region Set<T>
public class Set<T>
    where T : IComparable<T> {

    Node root = Node.NIL;

    public int Count { get { return root.cnt; } }
    public void Add(T v) { Insert(v, LowerBound(v)); }
    public bool Remove(T v) {
        if (EqualRange(v) == 0) return false;
        RemoveAt(LowerBound(v));
        return true;
    }
    #region Impl
    public void Insert(T v, int k) {
        root = insert(root, v, k);
    }
    public void RemoveAt(int k) {
        root = removeat(root, k);
    }
    public int EqualRange(T v) { return UpperBound(v) - LowerBound(v); }
    public int LowerBound(T v) { return lowerBound(root, v); }
    public int UpperBound(T v) { return upperBound(root, v); }
    public T this[int k] { get { return find(root, k); } }
    Node insert(Node t, T v, int k) {
        Debug.Assert(t.cnt >= k);
        if (t == Node.NIL) return new Node(v);
        if (t.lst.cnt >= k)
            t.lst = insert(t.lst, v, k);
        else
            t.rst = insert(t.rst, v, k - t.lst.cnt - 1);
        t.Update();

        if (t.lst.h - t.rst.h == -2) {
            if (t.rst.lst.h - t.rst.rst.h > 0) t.rst = rotR(t.rst);
            t = rotL(t);
        }
        else if (t.lst.h - t.rst.h == 2) {
            if (t.lst.lst.h - t.lst.rst.h < 0) t.lst = rotL(t.lst);
            t = rotR(t);
        }
        t.Update();
        return t;
    }
    Node removeat(Node t, int k) {
        Debug.Assert(t.cnt > k);
        var cnt = t.lst.cnt;
        if (cnt < k) t.rst = removeat(t.rst, k - cnt - 1);
        else if (cnt > k) t.lst = removeat(t.lst, k);
        else {
            if (cnt == 0) return t.rst;
            if (t.rst.cnt == 0) return t.lst;

            t.val = find(t, k - 1);
            t.lst = removeat(t.lst, k - 1);
        }
        t.Update();
        if (t.lst.h - t.rst.h == -2) {
            if (t.rst.lst.h - t.rst.rst.h > 0) t.rst = rotR(t.rst);
            t = rotL(t);
        }
        else if (t.lst.h - t.rst.h == 2) {
            if (t.lst.lst.h - t.lst.rst.h < 0) t.lst = rotL(t.lst);
            t = rotR(t);
        }
        else t.Update();
        return t;
    }

    int lowerBound(Node t, T v) {
        if (t.cnt == 0) return 0;
        if (v.CompareTo(t.val) <= 0) return lowerBound(t.lst, v);
        else return t.lst.cnt + 1 + lowerBound(t.rst, v);
    }
    int upperBound(Node t, T v) {
        if (t.cnt == 0) return 0;
        if (t.val.CompareTo(v) <= 0) return t.lst.cnt + 1 + upperBound(t.rst, v);
        else return upperBound(t.lst, v);
    }
    T find(Node t, int k) {
        Debug.Assert(k < t.cnt);
        if (k == t.lst.cnt) return t.val;
        else if (k < t.lst.cnt) return find(t.lst, k);
        else return find(t.rst, k - (t.lst.cnt + 1));
    }
    Node rotR(Node t) {
        var l = t.lst;
        var lr = l.rst;
        l.rst = t;
        t.lst = lr;
        t.Update();
        l.Update();
        return l;
    }
    Node rotL(Node t) {
        var r = t.rst;
        var rl = r.lst;
        t.rst = rl;
        r.lst = t;
        t.Update();
        r.Update();
        return r;
    }
    #endregion
    class Node {
        static public readonly Node NIL = new Node();
        public int h;
        public int cnt;
        internal T val;
        internal Node lst, rst;
        private Node() { }
        internal Node(T v) { h = 1; cnt = 1; val = v; lst = NIL; rst = NIL; }
        public void Update() {
            if (cnt == 0) return;
            h = 1 + Math.Max(lst.h, rst.h);
            cnt = 1 + lst.cnt + rst.cnt;
        }
        public override string ToString() {
            return string.Format("count:{0}, value:{1}", cnt, val);
        }
        public T[] Items { get { return items(this); } }
        static public T[] items(Node t) {
            var ret = new T[t.cnt];
            var ptr = 0;
            dfs(t, ref ptr, ret);
            return ret;
        }
        static void dfs(Node t, ref int ptr, T[] ret) {
            if (t == Node.NIL) return;
            dfs(t.lst, ref ptr, ret);
            ret[ptr++] = t.val;
            dfs(t.rst, ref ptr, ret);
        }
    }
    public T[] Items { get { return root.Items; } }
    public override string ToString() { return string.Format("Count = {0}", Count); }

}
#endregion