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 PyPy3 (7.3.0) (judge verdict: Runtime Error)

import random
from collections import deque
import sys
sys.stdin.readline

import random
class Treap:
    def __init__(self):
        self.node = None  # root

    def __str__(self):
        L = []
        def recursiveSearch(node):
            if node.left is not None:
                recursiveSearch(node.left)
            L.append((node.val, node.priority))
            if node.right is not None:
                recursiveSearch(node.right)
        recursiveSearch(self.node)
        return str(L)

    def add(self, x):
        i = self.bisect(x)
        self.node = self.insert(self.node, i, x)

    def remove(self, x):
        i = self.bisect(x)
        self.node = self.erase(self.node, i)

    def bisect(self, x):  # bisect_left
        def recursiveSearch(node):
            if node is None:
                return 0
            res = 0
            if x <= node.val:
                if node.left is not None:
                    return recursiveSearch(node.left)
                else:
                    return 0
            else:
                res += self.count(node.left) + 1
                if node.right is not None:
                    return res + recursiveSearch(node.right)
                else:
                    return res
        return recursiveSearch(self.node)

    def min(self):
        t = self.node
        while t.left is not None:
          t = t.left
        return t.val

    class Node:
        def __init__(self, x):
            self.val = x
            self.priority = random.randint(0, 1<<30)
            self.left = None
            self.right = None
            self.cnt = 1
        def __str__(self):
            return str(self.val)

    def count(self, t: Node):
        return 0 if t is None else t.cnt

    def update(self, t: Node):
        t.cnt = self.count(t.left) + self.count(t.right) + 1
        return t

    def merge(self, l: Node, r: Node):
        if l is None: return r
        if r is None: return l
        if l.priority > r.priority:
            l.right = self.merge(l.right, r)
            return self.update(l)
        else:
            r.left = self.merge(l, r.left)
            return self.update(r)

    def split(self, t: Node, k: int) -> (Node, Node):  # [0,k),[k,n)
        if t is None: return None, None
        if k <= self.count(t.left):
            s = self.split(t.left, k)
            t.left = s[1]
            return s[0], self.update(t)
        else:
            s = self.split(t.right, k - self.count(t.left) - 1)
            t.right = s[0]
            return self.update(t), s[1]

    def insert(self, t: Node, k: int, x):
        l, r = self.split(t, k)
        return self.merge(self.merge(l, self.Node(x)), r)

    def erase(self, t: Node, k):
        l, r = self.split(t, k)
        _, r = self.split(r, 1)
        return self.merge(l, r)

    
def main():
  n,p=map(int,sys.stdin.buffer.readline().split())

  e=[]
  for _ in range(n):
      s,t,x = map(int,sys.stdin.buffer.readline().split())
      e.append((s-x,1,x))
      e.append((t-x,-1,x))
  e.sort()
  q = deque()
  for _ in range(p):
      q.append(int(input()))
  s=Treap()

  for t,f,x in e:
      while t > q[0]:
          q.popleft()
          if s.node:
              print(s[0])
          else:
              print(-1)
          if not q:
              sys.exit()
      if f == 1:
          s.add(x)
      else:
          s.remove(x)

  while q:
      q.pop()
      print(-1)

main()