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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

public class Main {
	static InputStream is;
	static PrintWriter out;
	static String INPUT = "";
	
	static void solve()
	{
		int n = ni(), Q = ni();
		int[] ss = new int[n];
		int[] ts = new int[n];
		int[] xs = new int[n];
		for(int i = 0;i < n;i++) {
			ss[i] = ni();
			ts[i] = ni();
			xs[i] = ni();
		}
		long[] ai = new long[n];
		for(int i = 0;i < n;i++)ai[i] = (long)xs[i]<<32|i;
		Arrays.sort(ai);
		
		int[] qs = na(Q);
		
		SegmentTreeOverwrite st = new SegmentTreeOverwrite(Q);
		for(int i = 0;i < n;i++) {
			int ind = (int)ai[n-1-i];
			// [k[0],k[1]) : x
			// (x-k[1], x-k[0]]
			// [k[0]-x, k[1]-x)
			int l = Arrays.binarySearch(qs, ss[ind]-xs[ind]);
			if(l < 0)l = -l-1;
			int r = Arrays.binarySearch(qs, ts[ind]-xs[ind]);
			if(r < 0)r = -r-1;
			// [l,r)
			st.update(l, r, xs[ind]);
		}
		for(int i = 0;i < Q;i++) {
			int val = st.get(i);
			if(val == st.I) {
				out.println(-1);
			}else {
				out.println(val);
			}
		}
	}
	
	public static class SegmentTreeOverwrite {
		public int M, H, N;
		public int[] cover;
		public int I = Integer.MAX_VALUE;
		
		public SegmentTreeOverwrite(int n)
		{
			N = n;
			M = Integer.highestOneBit(Math.max(N-1, 1))<<2;
			H = M>>>1;
			cover = new int[M];
			Arrays.fill(cover, I);
			for(int i = H-1;i >= 1;i--){
				propagate(i);
			}
		}
		
		private void propagate(int i){}
		
		public void update(int l, int r, int v){ update(l, r, v, 0, H, 1); }
		
		private void update(int l, int r, int v, int cl, int cr, int cur)
		{
			if(l <= cl && cr <= r){
				cover[cur] = v;
				propagate(cur);
			}else{
				int mid = cl+cr>>>1;
				if(cover[cur] != I){ // back-propagate
					cover[2*cur] = cover[2*cur+1] = cover[cur];
					cover[cur] = I;
					propagate(2*cur);
					propagate(2*cur+1);
				}
				if(cl < r && l < mid){
					update(l, r, v, cl, mid, 2*cur);
				}
				if(mid < r && l < cr){
					update(l, r, v, mid, cr, 2*cur+1);
				}
				propagate(cur);
			}
		}
		
		public int get(int x){ 
			int val = I;
			for(int i = H+x;i >= 1;i>>>=1){
				if(cover[i] != I)val = cover[i];
			}
			return val;
		}
	}
	
	public static void main(String[] args) throws Exception
	{
		long S = System.currentTimeMillis();
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new PrintWriter(System.out);
		
		solve();
		out.flush();
		long G = System.currentTimeMillis();
		tr(G-S+"ms");
	}
	
	private static boolean eof()
	{
		if(lenbuf == -1)return true;
		int lptr = ptrbuf;
		while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false;
		
		try {
			is.mark(1000);
			while(true){
				int b = is.read();
				if(b == -1){
					is.reset();
					return true;
				}else if(!isSpaceChar(b)){
					is.reset();
					return false;
				}
			}
		} catch (IOException e) {
			return true;
		}
	}
	
	private static byte[] inbuf = new byte[1024];
	static int lenbuf = 0, ptrbuf = 0;
	
	private static int readByte()
	{
		if(lenbuf == -1)throw new InputMismatchException();
		if(ptrbuf >= lenbuf){
			ptrbuf = 0;
			try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
			if(lenbuf <= 0)return -1;
		}
		return inbuf[ptrbuf++];
	}
	
	private static boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
//	private static boolean isSpaceChar(int c) { return !(c >= 32 && c <= 126); }
	private static int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
	
	private static double nd() { return Double.parseDouble(ns()); }
	private static char nc() { return (char)skip(); }
	
	private static String ns()
	{
		int b = skip();
		StringBuilder sb = new StringBuilder();
		while(!(isSpaceChar(b))){
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	
	private static char[] ns(int n)
	{
		char[] buf = new char[n];
		int b = skip(), p = 0;
		while(p < n && !(isSpaceChar(b))){
			buf[p++] = (char)b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}
	
	private static char[][] nm(int n, int m)
	{
		char[][] map = new char[n][];
		for(int i = 0;i < n;i++)map[i] = ns(m);
		return map;
	}
	
	private static int[] na(int n)
	{
		int[] a = new int[n];
		for(int i = 0;i < n;i++)a[i] = ni();
		return a;
	}
	
	private static int ni()
	{
		int num = 0, b;
		boolean minus = false;
		while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
		if(b == '-'){
			minus = true;
			b = readByte();
		}
		
		while(true){
			if(b >= '0' && b <= '9'){
				num = num * 10 + (b - '0');
			}else{
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
	
	private static long nl()
	{
		long num = 0;
		int b;
		boolean minus = false;
		while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
		if(b == '-'){
			minus = true;
			b = readByte();
		}
		
		while(true){
			if(b >= '0' && b <= '9'){
				num = num * 10 + (b - '0');
			}else{
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
	
	private static void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); }
}