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 (Python):
import math
import numpy as np
import decimal
import collections
import itertools
import sys
import random

class UnionFind():
    def __init__(self, n):
        self.n = n
        self.par = [-1 for i in range(self.n)]
    def find(self, x):
        if self.par[x] < 0:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]
    def unite(self, x, y):
        p = self.find(x)
        q = self.find(y)
        if p == q:
            return None
        if p > q:
            p, q = q, p
        self.par[p] += self.par[q]
        self.par[q] = p
    def same(self, x, y):
        return self.find(x) == self.find(y)
    def size(self, x):
        return -self.par[self.find(x)]


def prime_numbers(x):
    if x < 2:
        return []
    prime_numbers = [i for i in range(x)]
    prime_numbers[1] = 0
    for prime_number in prime_numbers:
        if prime_number > math.sqrt(x):
            break
        if prime_number == 0:
            continue
        for composite_number in range(2 * prime_number, x, prime_number):
            prime_numbers[composite_number] = 0
    return [prime_number for prime_number in prime_numbers if prime_number != 0]
def is_prime(x):
    if x < 2:
        return False
    if x == 2 or x == 3 or x == 5:
        return True
    if x % 2 == 0 or x % 3 == 0 or x % 5 == 0:
        return False
    prime_number = 7
    difference = 4
    while prime_number <= math.sqrt(x):
        if x % prime_number == 0:
            return False
        prime_number += difference
        difference = 6 - difference
    return True

def prime_factorize(n):
    res = []
    while n % 2 == 0:
        res.append(2)
        n //= 2
    f = 3
    while f ** 2 <= n:
        if n % f == 0:
            res.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        res.append(n)
    return res

mod = 10 ** 9 + 7
class nCr():
    def __init__(self, n):
        self.n = n
        self.fa = [1] * (self.n + 1)
        self.fi = [1] * (self.n + 1)
        for i in range(1, self.n + 1):
            self.fa[i] = self.fa[i - 1] * i % mod
            self.fi[i] = pow(self.fa[i], mod - 2, mod)
    def comb(self, n, r):
        if n < r:return 0
        if n < 0 or r < 0:return 0
        return self.fa[n] * self.fi[r] % mod * self.fi[n - r] % mod

def extgcd(a, b, d = 0):
    g = a
    if b == 0:
        x, y = 1, 0
    else:
        x, y, g = extgcd(b, a % b)
        x, y = y, x - a // b * y
    return x, y, g

class BinaryIndexedTree():
    def __init__(self, n):
        self.n = n
        self.BIT = [0] * (self.n + 1)
    def add(self, i, x):
        while i <= self.n:
            self.BIT[i] += x
            i += i & -i
    def query(self, i):
        res = 0
        while i > 0:
            res += self.BIT[i]
            i -= i & -i
        return res

class AssociativeArray():
    def __init__(self, q):
        self.dic = dict()
        self.q = q
    def solve(self):
        for i in range(self.q):
            Query = list(map(int, input().split()))
            if Query[0] == 0:
                x, y, z = Query
                self.dic[y] = z
            else:
                x, y = Query
                if y in self.dic:
                    print(self.dic[y])
                else:
                    print(0)

def floor_sum(n, m, a, b):
    res = 0
    if a >= m:
        res += (n - 1) * n * (a // m) // 2
        a %= m
    if b >= m:
        res += n * (b // m)
        b %= m
    y_max = (a * n + b) // m
    x_max = y_max * m - b
    if y_max == 0:
        return res
    res += y_max * (n + (-x_max // a))
    res += floor_sum(y_max, a, m, (a - x_max % a) % a)
    return res

def z_algorithm(s):
    str_len = len(s)
    res = [0] * str_len
    res[str_len - 1] = str_len
    i, j = 1, 0
    while i < str_len:
        while i + j < str_len and s[i + j] == s[j]:
            j += 1
        res[i] = j
        if j == 0:
            i += 1
            continue
        k = 1
        while i + k < str_len and j > res[k] + k:
            res[i + k] = res[k]
            k += 1
        i += k
        j -= k
    return res
class Manacher():
    def __init__(self, s):
        self.s = s
    def coustruct(self):
        i, j = 0, 0 
        s_len = len(self.s)
        res = [0] * s_len
        while i < s_len:
            while i - j >= 0 and i + j < s_len and self.s[i - j] == self.s[i + j]:
                j += 1
            res[i] = j
            k = 1
            while i - k >= 0 and k + res[i - k] < j:
                k += 1
            i += k
            j -= k

def mod_sqrt(a, p):
    if a == 0:
        return 0
    if p == 2:
        return 1
    k = (p - 1) // 2
    if pow(a, k, p) != 1:
        return -1
    while True:
        n = random.randint(2, p - 1)
        r = (n ** 2 - a) % p
        if r == 0:
            return n
        if pow(r, k, p) == p - 1:
            break
    k += 1
    w, x, y, z = n, 1, 1, 0
    while k:
        if k % 2:
            y, z = w * y + r * x * z, x * y + w * z
        w, x = w * w + r * x * x, 2 * w * x
        w %= p
        x %= p
        y %= p
        z %= p
        k >>= 1
    return y
import bisect
n, q = map(int, input().split())
stx = [list(map(int, input().split())) for i in range(n)]
d = [int(input()) for i in range(q)]
stx.sort(key=lambda x: x[2])
ans = [-1 for i in range(q)]
lis = [-1 for i in range(q)]
for s, t, x in stx:
    l = bisect.bisect_left(d, s - x)
    r = bisect.bisect_left(d, t - x)
    while l < r:
        if lis[l] == -1:
            ans[l] = x
            lis[l] = r
            l += 1
        else:
            l = lis[l]
print(*ans, sep="\n")

Solution (Python):

printn = lambda x: print(x,end='')
inn = lambda : int(input())
inl   = lambda: list(map(int, input().split()))
inm   = lambda:      map(int, input().split())
ins = lambda : input().strip()
DBG = True  and False
BIG = 10**18 if not DBG else 99999
R = 10**9 + 7


def ddprint(x):
  if DBG:
    print(x)












class Segtree:
    

    

    
    
    

    

    def __init__(s,l,unit,oper):
        s.unit = unit
        s.oper = oper
        s.n = 1
        while s.n<l:
            s.n *= 2
        s.ary = [s.unit for i in range(2*s.n-1)]

    def get(s,i):
        return s.ary[i+s.n-1]

    def set(s,i,v):
        k = i+s.n-1
        s.ary[k] = v
        while k>0:
            k = (k-1)//2
            s.ary[k] = s.oper( \
                        s.ary[2*k+1], s.ary[2*k+2])

    def setary(s,a):
        for i,v in enumerate(a):
            s.ary[i+s.n-1] = v
        for k in range(s.n-2,-1,-1):
            s.ary[k] = s.oper( \
                        s.ary[2*k+1], s.ary[2*k+2])

    def query(s,x,y):
        l = x+s.n-1
        r = y+s.n-1
        res = s.unit
        while l<r:
            if not l%2:
                res = s.oper(res,s.ary[l])
                l += 1
            if not r%2:
                r -= 1
                res = s.oper(res,s.ary[r])
            l >>= 1
            r >>= 1
        return res




n,q = inm()
xs = set([])
stx = []
for i in range(n):
    s,t,x = inm()
    xs.add(x)
    xs.add(s-x)
    xs.add(t-x)
    stx.append((s-x,t-x,x))
stx.sort()

di = []
ans = [-1]*q
for i in range(q):
    d = inn()
    xs.add(d)
    di.append(d)

x2i = {}
i2x = list(xs)
m = len(xs)
i2x.sort()
for i,x in enumerate(i2x):
    x2i[x] = i

stx2 = []
for i in range(n):
    s,t,x = stx[i]
    stx2.append((x2i[s],x2i[t],x2i[x]))
d2 = [x2i[d] for d in di]

sgt = Segtree(m,BIG,lambda x,y: min(x,y))
top = 0
for j in range(q):
    d = d2[j]
    while top<n:
        s,t,x = stx2[top]
        if s>d:
            break
        if x<sgt.get(t-1):
            sgt.set(t-1,x)
        top += 1
    x = sgt.query(d,m)
    if x==BIG:
        print(-1)
    else:
        print(i2x[x])

Solution (Python):
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
from collections import deque

sys.setrecursionlimit(10**7)
inf = 10**20
mod = 10**9 + 7

DR = [1, -1, 0, 0]
DC = [0, 0, 1, -1]

def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
     
def main():
    N, Q = LI()
    sections = []
    D = []

    for _ in range(N):
        s, t, x = LI()
        s -= x
        t -= x
        sections.append((s, t, x))

    for _ in range(Q):
        D.append(I())
    sections = sorted(sections, key=lambda x: (x[-1], x[-2]))

    section_end_ix = collections.defaultdict(list)

    filled = [-1] * Q
    for sec in sections:
        l = bisect.bisect_left(D, sec[0])
        r = bisect.bisect_left(D, sec[1])
        x = sec[2]
        
        
        r -= 1
        if r < 0:
            continue
        section_end_ix[x].append(r)
        ix = l
        while ix <= r:
            val_X = filled[ix] 
            
            if val_X > -1:
                _i = bisect.bisect_left(section_end_ix[val_X], ix) 
                

                if _i >= len(section_end_ix[val_X]):
                    
                    pass
                else:
                    
                    ix = section_end_ix[val_X][_i]
            
            else:
                filled[ix] = x
            ix += 1

    for x in filled:
        print(x)
main()

Solution (Python):
import heapq
n, q = map(int, input().split())
event = []
for _ in range(n):
    s, t, x = map(int, input().split())
    event.append((s-x, 1, x))
    event.append((t-x, -1, x))

event.sort()
heap = []
xs = set([])

d = [int(input()) for _ in range(q)] + [10**9 + 7]
ans = [-1] * q
index = 0
for t, query, x in event:
    while d[index] < t:
        if not xs:
            pass
        else:
            while heap:
                tmp = heapq.heappop(heap)
                if tmp in xs:
                    heapq.heappush(heap, tmp)
                    ans[index] = tmp
                    break
        index += 1

    if query == 1:
        xs.add(x)
        heapq.heappush(heap, x)
    else:
        xs.remove(x)


while index < q:
    while heap:
        tmp = heapq.heappop(heap)
        if tmp in xs:
            heapq.heappush(heap, tmp)
            ans[index] = tmp
            break
    index += 1

print("\n".join(map(str, ans)))

Solution (Python):
import sys
from heapq import heappush, heappop
from operator import itemgetter

read = sys.stdin.read
readline = sys.stdin.readline
readlines = sys.stdin.readlines
sys.setrecursionlimit(10 ** 9)
INF = 1 << 60
MOD = 1000000007


def main():
    N, Q = map(int, readline().split())
    work = [0] * N
    for i in range(N):
        s, t, x = map(int, readline().split())
        work[i] = (x, s - x, t - x)
    query = list(map(int, read().split()))

    work.sort(key=itemgetter(1))
    hq = []
    ans = [0] * Q

    idx = 0
    for i, d in enumerate(query):
        while idx < N and work[idx][1] <= d:
            heappush(hq, work[idx])
            idx += 1
        while hq and hq[0][2] <= d:
            heappop(hq)
        if not hq:
            ans[i] = -1
        else:
            ans[i] = hq[0][0]

    print(*ans, sep='\n')
    return


if __name__ == '__main__':
    main()

Solution (Python):
import sys
from heapq import heappush, heappop
from operator import itemgetter

read = sys.stdin.read
readline = sys.stdin.readline
readlines = sys.stdin.readlines
sys.setrecursionlimit(10 ** 9)
INF = 1 << 60
MOD = 1000000007


def main():
    N, Q = map(int, readline().split())
    work = [0] * N
    for i in range(N):
        s, t, x = map(int, readline().split())
        work[i] = (x, s - x, t - x)
    query = list(map(int, read().split()))

    work.sort(key=itemgetter(1), reverse=True)
    hq = []
    ans = [0] * Q

    for i, d in enumerate(query):
        while work and work[-1][1] <= d:
            heappush(hq, work[-1])
            work.pop()
        while hq and hq[0][2] <= d:
            heappop(hq)
        if not hq:
            ans[i] = -1
        else:
            ans[i] = hq[0][0]

    print(*ans, sep='\n')
    return


if __name__ == '__main__':
    main()

Solution (Python):
import sys
from heapq import heappush, heappop
from operator import itemgetter

read = sys.stdin.read
readline = sys.stdin.readline
readlines = sys.stdin.readlines
sys.setrecursionlimit(10 ** 9)
INF = 1 << 60
MOD = 1000000007


def main():
    N, Q = map(int, readline().split())
    work = [0] * N
    for i in range(N):
        s, t, x = map(int, readline().split())
        work[i] = (x, s - x, t - x)
    query = list(map(int, read().split()))

    work.sort(key=itemgetter(1), reverse=True)
    hq = []
    ans = [0] * Q

    for i, d in enumerate(query):
        while work and work[-1][1] <= d:
            heappush(hq, work[-1])
            work.pop()
        while hq and hq[0][2] <= d:
            heappop(hq)
        if not hq:
            ans[i] = -1
        else:
            ans[i] = hq[0][0]

    print(*ans, sep='\n')
    return


if __name__ == '__main__':
    main()

Solution (Python):
from sys import stdin
import sys
import math
from functools import reduce
import functools
import itertools
from collections import deque,Counter,defaultdict
from operator import mul
import copy


import heapq
sys.setrecursionlimit(10**6)

INF = 10**18
import bisect
import statistics
mod = 10**9+7


N, Q = map(int, input().split())

events = []
for i in range(N):
    S, T, X = map(int, input().split())
    events.append([S-X-0.5, 1, X])
    events.append([T-X-0.5, -1, X])

for i in range(Q):
    d = int(input())
    events.append([d, 0, i])

events = sorted(events)

count = defaultdict(int)
Xheap = []
heapq.heapify(Xheap)
ans = [-1 for i in range(Q)]

for e in events:
    if e[1] == 1:
        heapq.heappush(Xheap, e[2])
        count[e[2]] += 1
    elif e[1] == -1:
        count[e[2]] -= 1
    else:
        while Xheap:
            a = Xheap[0]
            if count[a] == 0:
                heapq.heappop(Xheap)
            else:
                ans[e[2]] = a
                break

for i in range(Q):
    print(ans[i])

Solution (Python):
import sys
input=sys.stdin.readline
from bisect import bisect_left
n,q=map(int,input().split())
stop=[]
for i in range(n):
	s,t,x=map(int,input().split())
	stop.append((s,t,x))
stop.sort(key=lambda x:x[2])
d=[int(input())for i in range(q)]
R=[-1]*q
ans=[-1]*q
for s,t,x in stop:
	
	l=bisect_left(d,s-x)
	r=bisect_left(d,t-x)
	while l<r:
		if R[l]==-1:
			ans[l]=x
			R[l]=r
			l+=1
		else:
			l=R[l]
for x in ans:
	print(x)

Solution (Python):






import sys
input = sys.stdin.readline

import math

import bisect
from collections import defaultdict
from collections import deque
from functools import lru_cache






MOD = 10**9+7
INF = float('inf')






def I(): return int(input().strip())
def S(): return input().strip()
def IL(): return list(map(int,input().split()))
def SL(): return list(map(str,input().split()))
def ILs(n): return list(int(input()) for _ in range(n))
def SLs(n): return list(input().strip() for _ in range(n))
def ILL(n): return [list(map(int, input().split())) for _ in range(n)]
def SLL(n): return [list(map(str, input().split())) for _ in range(n)]


def P(arg): print(arg); return
def Y(): print("Yes"); return
def N(): print("No"); return
def E(): exit()
def PE(arg): print(arg); exit()
def YE(): print("Yes"); exit()
def NE(): print("No"); exit()


def DD(arg): return defaultdict(arg)



def inv(n): return pow(n, MOD-2, MOD)


kaijo_memo = []
def kaijo(n):
  if(len(kaijo_memo) > n):
    return kaijo_memo[n]
  if(len(kaijo_memo) == 0):
    kaijo_memo.append(1)
  while(len(kaijo_memo) <= n):
    kaijo_memo.append(kaijo_memo[-1] * len(kaijo_memo) % MOD)
  return kaijo_memo[n]

gyaku_kaijo_memo = []
def gyaku_kaijo(n):
  if(len(gyaku_kaijo_memo) > n):
    return gyaku_kaijo_memo[n]
  if(len(gyaku_kaijo_memo) == 0):
    gyaku_kaijo_memo.append(1)
  while(len(gyaku_kaijo_memo) <= n):
    gyaku_kaijo_memo.append(gyaku_kaijo_memo[-1] * pow(len(gyaku_kaijo_memo),MOD-2,MOD) % MOD)
  return gyaku_kaijo_memo[n]

def nCr(n,r):
  if(n == r):
    return 1
  if(n < r or r < 0):
    return 0
  ret = 1
  ret = ret * kaijo(n) % MOD
  ret = ret * gyaku_kaijo(r) % MOD
  ret = ret * gyaku_kaijo(n-r) % MOD
  return ret


def factorization(n):
  arr = []
  temp = n
  for i in range(2, int(-(-n**0.5//1))+1):
    if temp%i==0:
      cnt=0
      while temp%i==0: 
        cnt+=1 
        temp //= i
      arr.append([i, cnt])
  if temp!=1:
    arr.append([temp, 1])
  if arr==[]:
    arr.append([n, 1])
  return arr


def make_divisors(n):
  divisors = []
  for i in range(1, int(n**0.5)+1):
    if n % i == 0:
      divisors.append(i)
      if i != n // i: 
        divisors.append(n//i)
  return divisors


def gcd(a, b):
    while b:
        a, b = b, a % b
    return a


def lcm(a, b):
    return a * b // gcd (a, b)


def count_bit(n):
  count = 0
  while n:
    n &= n -1
    count += 1
  return count


def base_10_to_n(X, n):
  if X//n:
    return base_10_to_n(X//n, n)+[X%n]
  return [X%n]

def base_n_to_10(X, n):
  return sum(int(str(X)[-i])*n**i for i in range(len(str(X))))


def int_log(n, a):
  count = 0
  while n>=a:
    n //= a
    count += 1
  return count




N,Q = IL()
raw_data = ILL(N)
q = [-INF]+ILs(Q)+[INF]

raw_data.sort(lambda x:x[2],reverse = True)
dic = [q[i] for i in range(Q)]

class RUQ:
  def __init__(self, N, default = None):
    self.N0 = 2**(N-1).bit_length()
    self.data = [None]*(2*self.N0)
    self.INF = (-1, default)
  
  
  def update(self, l, r, v):
    L = l + self.N0; R = r + self.N0
    while L < R:
      if R & 1:
        R -= 1
        self.data[R-1] = v
      if L & 1:
        self.data[L-1] = v
        L += 1
      L >>= 1; R >>= 1
  
  def _query(self, k):
    k += self.N0-1
    s = self.INF
    while k >= 0:
      if self.data[k]:
        s = max(s, self.data[k])
      k = (k - 1) // 2
    return s
  
  def query(self, k):
      return self._query(k)[1]

ST = RUQ(Q+2,-1)
tt = 0
for s,t,x in raw_data:
  l = bisect.bisect_left(q,s-x)
  r = bisect.bisect_left(q,t-x)
  ST.update(l,r,(tt,x))
  tt += 1
  
for i in range(Q):
  print(ST.query(i+1))

Solution (Python):






import sys
input = sys.stdin.readline

import math

import bisect
from collections import defaultdict
from collections import deque
from functools import lru_cache






MOD = 10**9+7
INF = float('inf')






def I(): return int(input().strip())
def S(): return input().strip()
def IL(): return list(map(int,input().split()))
def SL(): return list(map(str,input().split()))
def ILs(n): return list(int(input()) for _ in range(n))
def SLs(n): return list(input().strip() for _ in range(n))
def ILL(n): return [list(map(int, input().split())) for _ in range(n)]
def SLL(n): return [list(map(str, input().split())) for _ in range(n)]


def P(arg): print(arg); return
def Y(): print("Yes"); return
def N(): print("No"); return
def E(): exit()
def PE(arg): print(arg); exit()
def YE(): print("Yes"); exit()
def NE(): print("No"); exit()


def DD(arg): return defaultdict(arg)



def inv(n): return pow(n, MOD-2, MOD)


kaijo_memo = []
def kaijo(n):
  if(len(kaijo_memo) > n):
    return kaijo_memo[n]
  if(len(kaijo_memo) == 0):
    kaijo_memo.append(1)
  while(len(kaijo_memo) <= n):
    kaijo_memo.append(kaijo_memo[-1] * len(kaijo_memo) % MOD)
  return kaijo_memo[n]

gyaku_kaijo_memo = []
def gyaku_kaijo(n):
  if(len(gyaku_kaijo_memo) > n):
    return gyaku_kaijo_memo[n]
  if(len(gyaku_kaijo_memo) == 0):
    gyaku_kaijo_memo.append(1)
  while(len(gyaku_kaijo_memo) <= n):
    gyaku_kaijo_memo.append(gyaku_kaijo_memo[-1] * pow(len(gyaku_kaijo_memo),MOD-2,MOD) % MOD)
  return gyaku_kaijo_memo[n]

def nCr(n,r):
  if(n == r):
    return 1
  if(n < r or r < 0):
    return 0
  ret = 1
  ret = ret * kaijo(n) % MOD
  ret = ret * gyaku_kaijo(r) % MOD
  ret = ret * gyaku_kaijo(n-r) % MOD
  return ret


def factorization(n):
  arr = []
  temp = n
  for i in range(2, int(-(-n**0.5//1))+1):
    if temp%i==0:
      cnt=0
      while temp%i==0: 
        cnt+=1 
        temp //= i
      arr.append([i, cnt])
  if temp!=1:
    arr.append([temp, 1])
  if arr==[]:
    arr.append([n, 1])
  return arr


def make_divisors(n):
  divisors = []
  for i in range(1, int(n**0.5)+1):
    if n % i == 0:
      divisors.append(i)
      if i != n // i: 
        divisors.append(n//i)
  return divisors


def gcd(a, b):
    while b:
        a, b = b, a % b
    return a


def lcm(a, b):
    return a * b // gcd (a, b)


def count_bit(n):
  count = 0
  while n:
    n &= n -1
    count += 1
  return count


def base_10_to_n(X, n):
  if X//n:
    return base_10_to_n(X//n, n)+[X%n]
  return [X%n]

def base_n_to_10(X, n):
  return sum(int(str(X)[-i])*n**i for i in range(len(str(X))))


def int_log(n, a):
  count = 0
  while n>=a:
    n //= a
    count += 1
  return count




N,Q = IL()
raw_data = ILL(N)
q = [-INF]+ILs(Q)+[INF]

raw_data.sort(lambda x:x[2],reverse = True)
dic = [q[i] for i in range(Q)]



N0 = 2**((Q+2)-1).bit_length()
data = [None]*(2*N0)
INF = (-1, -1)


def update(l, r, v):
    L = l + N0; R = r + N0
    while L < R:
        if R & 1:
            R -= 1
            data[R-1] = v

        if L & 1:
            data[L-1] = v
            L += 1
        L >>= 1; R >>= 1

def _query(k):
    k += N0-1
    s = INF
    while k >= 0:
        if data[k]:
            s = max(s, data[k])
        k = (k - 1) // 2
    return s

def query(k):
    return _query(k)[1]

tt = 0
for s,t,x in raw_data:
  l = bisect.bisect_left(q,s-x)
  r = bisect.bisect_left(q,t-x)
  update(l,r,(tt,x))
  tt += 1
  
for i in range(Q):
  print(query(i+1))

Solution (Python):
import sys
input=sys.stdin.readline
from bisect import bisect_left
n,q=map(int,input().split())
stop=[]
for i in range(n):
	s,t,x=map(int,input().split())
	stop.append((s,t,x))
stop.sort(key=lambda x:x[2])
d=[int(input())for i in range(q)]
R=[-1]*q
ans=[-1]*q
for s,t,x in stop:
	
	l=bisect_left(d,s-x)
	r=bisect_left(d,t-x)
	while l<r:
		if R[l]==-1:
			ans[l]=x
			R[l]=r
			l+=1
		else:
			l=R[l]
for x in ans:
	print(x)

Solution (Python):

import bisect
import sys
sys.setrecursionlimit(10**9)




class LazySegTree:
    def __init__(self, init_val, segfunc, ide_ele = 2**31 - 1):
        n = len(init_val)
        self.segfunc = segfunc
        self.ide_ele = ide_ele
        self.num = 1 << (n - 1).bit_length()
        self.data = [ide_ele] * 2 * self.num
        self.lazy = [None] * 2 * self.num
        
        for i in range(n):
            self.data[self.num + i] = init_val[i]
        
        for i in range(self.num - 1, 0, -1):
            self.data[i] = self.segfunc(self.data[2 * i], self.data[2 * i + 1])



    def propagates(self, *ids):
        for i in reversed(ids):
            v = self.lazy[i]
            if v is None:
                continue
            self.lazy[2 * i] = v
            self.lazy[2 * i + 1] = v
            self.data[2 * i] = v
            self.data[2 * i + 1] = v
            self.lazy[i] = None

    def update(self, l, r, x): 
        *ids, = self.gindex(l, r)
        self.propagates(*ids)
        l += self.num
        r += self.num
        while l < r:
            if l & 1:
                self.lazy[l] = x
                self.data[l] = x
                l += 1
            if r & 1:
                self.lazy[r - 1] = x
                self.data[r - 1] = x
            r >>= 1
            l >>= 1
        for i in ids:
            self.data[i] = self.segfunc(self.data[2 * i], self.data[2 * i + 1])


    def query(self, l, r): 
        *ids, = self.gindex(l, r)
        self.propagates(*ids)

        res = self.ide_ele

        l += self.num
        r += self.num
        while l < r:
            if l & 1:
                res = self.segfunc(res, self.data[l])
                l += 1
            if r & 1:
                res = self.segfunc(res, self.data[r - 1])
            l >>= 1
            r >>= 1
        return res

    def gindex(self, l, r):
        l += self.num
        r += self.num
        lm = l >> (l & -l).bit_length()
        rm = r >> (r & -r).bit_length()

        while r > l:
            if l <= lm:
                yield l
            if r <= rm:
                yield r
            r >>= 1
            l >>= 1
        while l:
            yield l
            l >>= 1

def zarts(D,x): 
    return bisect.bisect_left(D,x)
    

INF=10**20
def solve(N: int, Q: int, S: "List[int]", T: "List[int]", X: "List[int]", D: "List[int]"):

    def segfunc(x,y):
        return min(x,y)

    v = [INF] * (Q+1)

    seg = LazySegTree(v,segfunc,ide_ele=INF)

    _X = list(enumerate(X))
    _X.sort(key=lambda x:x[1],reverse=True)
    for i,x in _X:
        l = zarts(D,S[i]-X[i])
        r = zarts(D,T[i]-X[i])
        
        if l == r: continue
        seg.update(l,r,X[i])
    

    for q in range(Q):
        d = q
        
        x = seg.query(d,d+1)
        if x == INF:
            x = -1

        print(x)
    
    return

def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  
    Q = int(next(tokens))  
    S = [int()] * (N)  
    T = [int()] * (N)  
    X = [int()] * (N)  
    
    for i in range(N):
        S[i] = int(next(tokens))
        T[i] = int(next(tokens))
        X[i] = int(next(tokens))
        
    D = [int(next(tokens)) for _ in range(Q)]  
    solve(N, Q, S, T, X, D)



if __name__ == "__main__":
    main()

Solution (Python):
from heapq import heappop,heappush
from collections import defaultdict

N,Q = map(int,input().split())
events = []
for _ in range(N):
    s,t,x = map(int,input().split())
    events.append((s-x,1,x))
    events.append((t-x,2,x))

for _ in range(Q):
    d = int(input())
    events.append((d,3,0))

events.sort()

minimumStop = [float("INF")]
stopCount = {float("INF"):1}

for sec,e,x in events:
    if e == 1:
        heappush(minimumStop,x)
        if x not in stopCount:
            stopCount[x] = 0
        stopCount[x] += 1
    if e == 3:
        while stopCount[minimumStop[0]] == 0:
            heappop(minimumStop)
        if minimumStop[0] == float("INF"):
            print(-1)
        else:
            print(minimumStop[0])
    if e == 2:
        stopCount[x] -= 1