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: Runtime Error)



import java.util.*;
import java.io.*;

public class Main {

    private static FastScanner sc = new FastScanner();
    private static Solution solution = new Solution();

    private static int[][] neg8 = new int[][]{{-1, -1}, {0, -1}, {1, -1}, {-1, 0}, {1, 0}, {-1, 1}, {0, 1}, {1, 1}};
    private static int[][] neg4 = new int[][]{{1, 0}, {0, -1}, {-1, 0}, {0, 1}};
    /*  neg4    neg8
     *    3      678
     *   2*0     4*5
     *    1      123
     */
    public static void main(String[] args) {

        int n = sc.nextInt();
        int q = sc.nextInt();

        int[] load = new int[100000000];
        Arrays.fill(load,1000000001);

        for(int i = 0;i < n;i ++){
            int s = sc.nextInt();
            int t = sc.nextInt();
            int x = sc.nextInt();
            for(int j = s; j < t;j ++){
                if(0<=j-x){
                    load[j-x] = Math.min(x,load[j-x]);
                }
            }
        }

//        for(int i :load){
//            System.out.print(i + " ");
//        }

        for(int i = 0;i<q;i++){
            int temp = sc.nextInt();
            if(temp >100000000){
                System.out.println(-1);
                return;
            }
            System.out.println(load[temp] == 1000000001?-1:load[temp]);
        }
    }
}

class Solution {
    public String stringLCS(String s1,String s2){//最長部分文字列そのものを返す
        int l1 = s1.length();//s1の長さ
        int l2 = s2.length();//s2の長さ
        StringBuilder ans = new StringBuilder();
        int last = 0;
        if(l1==0||l2==0){
            return ans.toString();
        }

        int[][] m = new int[l1][l2];
        int maxLen = 0;

        for(int i = 0;i < l1;i++){
            if(s1.charAt(i)==s2.charAt(0)){
                m[i][0] = 1;
                maxLen = 1;
            }else{
                m[i][0] = 0;
            }
        }

        for(int i = 0;i < l2;i++){
            if(s1.charAt(0)==s2.charAt(i)){
                m[0][i] = 1;
                maxLen = 1;
                last = i;
            }else{
                m[0][i] = 0;
            }
        }

        for(int i = 1;i < l1;i ++){
            for(int j = 1;j < l2;j ++){
                if(s1.charAt(i)!=s2.charAt(j)){
                    m[i][j] = 0;
                }else{
                    m[i][j] = m[i-1][j-1] + 1;
                    if(m[i][j] > maxLen){
                        maxLen = m[i][j];
                        last = i;
                    }
                }
            }
        }

        for(int i = last - maxLen +1;i <= last;i++){
            ans.append(String.valueOf(s1.charAt(i)));
        }

        return ans.toString();

    }
    public int countLCS(String s1,String s2){//最長共通部分文字列 文字数を返す
        int l1 = s1.length();//s1の長さ
        int l2 = s2.length();//s2の長さ
        if(l1==0||l2==0){
            return 0;
        }

        int[][] m = new int[l1][l2];
        int maxLen = 0;

        for(int i = 0;i < l1;i++){
            if(s1.charAt(i)==s2.charAt(0)){
                m[i][0] = 1;
                maxLen = 1;
            }else{
                m[i][0] = 0;
            }
        }

        for(int i = 0;i < l2;i++){
            if(s1.charAt(0)==s2.charAt(i)){
                m[0][i] = 1;
                maxLen = 1;
            }else{
                m[0][i] = 0;
            }
        }

        for(int i = 1;i < l1;i ++){
            for(int j = 1;j < l2;j ++){
                if(s1.charAt(i)!=s2.charAt(j)){
                    m[i][j] = 0;
                }else{
                    m[i][j] = m[i-1][j-1] + 1;
                    maxLen = m[i][j] > maxLen?m[i][j]:maxLen;
                }
            }
        }
        return maxLen;


    }

    public List<Integer> prime_factorization(int n){//素数のリストを返す　例：n=12...2,2,3
        final List<Integer> list = new ArrayList<Integer>();
        if(n < 2){
            return list;
        }

        while(n!=1&&n%2==0){
            list.add(2);
            n >>>= 1;
        }

        for(int i = 3;i*i<n;i+=2){
            while(n%i==0){
                list.add(i);
                n/=i;
            }
        }
        if(n!=1){
            list.add(n);
        }
        return list;
    }

    public int count_divisor(int n) {//約数の数を返す
        final List<Integer> list = new ArrayList<Integer>();
        int count = 1;
        int temp;
        if (n < 2) {
            return count;
        }

        temp = 0;
        while (n != 1 && n % 2 == 0) {
            temp++;
            n >>>= 1;
        }
        count *= temp + 1;


        for (int i = 3; i * i < n; i += 2) {
            temp = 0;
            while (n % i == 0) {
                temp++;
                n /= i;
            }
            count *= temp + 1;
        }
        if (n != 1) {
            count*=2;
        }
        return count;
    }
}

class FastScanner extends PrintWriter {
    private final InputStream in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    FastScanner() {
        this(System.in);
    }

    FastScanner(InputStream source) {
        super(System.out);
        this.in = source;
    }

    boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        } else {
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }

    int readByte() {
        if (hasNextByte()) return buffer[ptr++];
        else return -1;
    }

    boolean isPrintableChar(int c) {
        return 33 <= c && c <= 126;
    }

    boolean isNewLine(int c) {
        return c == '\n' || c == '\r';
    }

    void skipUnprintable() {
        while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;
    }

    void skipNewLine() {
        while (hasNextByte() && isNewLine(buffer[ptr])) ptr++;
    }

    boolean hasNext() {
        skipUnprintable();
        return hasNextByte();
    }

    boolean hasNextLine() {
        skipNewLine();
        return hasNextByte();
    }

    String next() {
        if (!hasNext()) {
            throw new NoSuchElementException();
        }
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while (isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }

    char[] nextCharArray(int len) {
        if (!hasNext()) {
            throw new NoSuchElementException();
        }
        char[] s = new char[len];
        int i = 0;
        int b = readByte();
        while (isPrintableChar(b)) {
            if (i == len) {
                throw new InputMismatchException();
            }
            s[i++] = (char) b;
            b = readByte();
        }
        return s;
    }

    String nextLine() {
        if (!hasNextLine()) {
            throw new NoSuchElementException();
        }
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while (!isNewLine(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }

    long nextLong() {
        if (!hasNext()) {
            throw new NoSuchElementException();
        }
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while (true) {
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            } else if (b == -1 || !isPrintableChar(b)) {
                return minus ? -n : n;
            } else {
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }

    int nextInt() {
        long nl = nextLong();
        if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) {
            throw new NumberFormatException();
        }
        return (int) nl;
    }

    char nextChar() {
        if (!hasNext()) {
            throw new NoSuchElementException();
        }
        return (char) readByte();
    }

    double nextDouble() {
        return Double.parseDouble(next());
    }

    int[] arrayInt(int n) {
        int[] a = new int[n];
        for (int i = 0; i < n; i++) a[i] = nextInt();
        return a;
    }

    long[] arrayLong(int n) {
        long[] a = new long[n];
        for (int i = 0; i < n; i++) a[i] = nextLong();
        return a;
    }

    double[] arrayDouble(int n) {
        double[] a = new double[n];
        for (int i = 0; i < n; i++) a[i] = nextDouble();
        return a;
    }

    void arrayInt(int[]... a) {
        for (int i = 0; i < a[0].length; i++) for (int j = 0; j < a.length; j++) a[j][i] = nextInt();
    }

    int[][] matrixInt(int n, int m) {
        int[][] a = new int[n][];
        for (int i = 0; i < n; i++) a[i] = arrayInt(m);
        return a;
    }

    char[][] mapChar(int n, int m) {
        char[][] a = new char[n][];
        for (int i = 0; i < n; i++) a[i] = nextCharArray(m);
        return a;
    }

    public void close() {
        super.close();
        try {
            in.close();
        } catch (IOException ignored) {
        }
    }
}