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):
if __name__ == '__main__':
    import sys
    input=sys.stdin.readline
    N,Q=list(map(int,input().split()))
    events=[list(map(int,input().split())) for _ in range(N)]
    D=[int(input()) for i in range(Q)]
    ans=["-1"]*Q
    skip=[-1]*Q
    events.sort(key=lambda x:x[2])
    import bisect
    for S,T,X in events:
        right=bisect.bisect_left(D,T-X)
        left=bisect.bisect_left(D,S-X)
        while left<right:
            if skip[left]==-1:
                ans[left]=str(X)
                skip[left]=right
                left+=1
            else:
                left=skip[left]
    print("\n".join(ans))

Solution (Python):
import bisect
import sys
input = sys.stdin.readline


n, q = map(int, input().split())
events = [list(map(int, input().split())) for _ in range(n)]
events.sort(key=lambda x: x[2])

departures = [int(input()) for _ in range(q)]


ans = ['-1'] * q
skip = [-1] * q

for start, end, pos in events:
    left = bisect.bisect_left(departures, start-pos)
    right = bisect.bisect_left(departures, end-pos)

    while left < right:
        if skip[left] == -1:
            ans[left] = str(pos)
            skip[left] = right
            left += 1

        else:
            left = skip[left]

print('\n'.join(ans))

Solution (Python):
import bisect
import sys
input = sys.stdin.readline


n, q = map(int, input().split())
events = [list(map(int, input().split())) for _ in range(n)]
events.sort(key=lambda x: x[2])

departures = [int(input()) for _ in range(q)]


ans = ['-1'] * q
skip = [-1] * q

for start, end, pos in events:
    left = bisect.bisect_left(departures, start-pos)
    right = bisect.bisect_left(departures, end-pos)

    while left < right:
        if skip[left] == -1:
            ans[left] = str(pos)
            skip[left] = right
            left += 1

        else:
            left = skip[left]

print('\n'.join(ans))

Solution (Python):
import sys
input = sys.stdin.readline


n, q = map(int, input().split())
events = []
for _ in range(n):
    start, end, pos = map(int, input().split())
    events.append([start - pos, 1, pos])
    events.append([end - pos, 0, pos])

events.sort()

departures = [int(input()) for _ in range(q)]

idx = 0
mini = 10**10
mini_check = False
candidates = set()
time, is_under_construction, pos = events[idx]
for departure in departures:
    while time <= departure:
        if is_under_construction:
            candidates.add(pos)
            if pos < mini:
                mini = pos
                mini_check = True
        else:
            candidates.remove(pos)
            if pos == mini:
                mini_check = False
        idx += 1
        if idx == 2 * n:
            time = float('INF')
            break
        time, is_under_construction, pos = events[idx]

    if not candidates:
        print(-1)
    else:
        if not mini_check:
            mini = min(candidates)
            mini_check = True
        print(mini)

Solution (Python):
def f():
    import sys
    input = sys.stdin.readline
    n,q=[int(j) for j in input().split()]
    l=[]
    for i in range(n):
        s,t,x=[int(j) for j in input().split()]
        l.append((s-x,1,x))
        l.append((t-x,0,x))

    for i in range(q):
        d=int(input())
        l.append((d,2,i))

    l.sort()

    ans=[-1]*q
    ll=set()
    m=10**18
    p=False
    for i,j,x in l:
        if j==1:
            ll.add(x)
            if m>x:
                m=x
                p=True
        elif j==0:
            ll.remove(x)
            if x==m:
                p=False
        else:
            if not p:
                if ll:
                    p=True
                    m=min(ll)
                else:
                    m=-1
            ans[x]=m
    print('\n'.join(map(str,ans)))

f()

Solution (Python):

n,q=[int(j) for j in input().split()]
l=[]
for i in range(n):
    s,t,x=[int(j) for j in input().split()]
    l.append((s-x,1,x))
    l.append((t-x,0,x))

for i in range(q):
    d=int(input())
    l.append((d,2,i))

l.sort()

ans=[-1]*q
ll=set()
m=10**18
p=False
for i,j,x in l:
    if j==1:
        ll.add(x)
        if m>x:
            m=x
            p=True
    elif j==0:
        ll.remove(x)
        if x==m:
            p=False
    else:
        if not p:
            if ll:
                p=True
                m=min(ll)
            else:
                m=-1
        ans[x]=m
print('\n'.join(map(str,ans)))

Solution (Python):
import sys
input = sys.stdin.readline
n,q=[int(j) for j in input().split()]
l=[]
for i in range(n):
    s,t,x=[int(j) for j in input().split()]
    l.append((s-x,1,x))
    l.append((t-x,0,x))

for i in range(q):
    d=int(input())
    l.append((d,2,i))

l.sort()

ans=[-1]*q
ll=set()
m=10**18
p=False
for i,j,x in l:
    if j==1:
        ll.add(x)
        if m>x:
            m=x
            p=True
    elif j==0:
        ll.remove(x)
        if x==m:
            p=False
    else:
        if not p:
            if ll:
                p=True
                m=min(ll)
            else:
                m=-1
        ans[x]=m
print('\n'.join(map(str,ans)))

Solution (Python):
import sys
input = sys.stdin.buffer.readline

N,Q = map(int, input().split())
List = []
dic = {}
for _ in range(N):
    s, t, x = map(int, input().split())
    List.append((s-0.5-x, 1, x))
    List.append((t-0.5-x, -1, x))
    dic[x] = False

import heapq
    
List.sort()

h = []
j = 0
for _ in range(Q):
    D = int(input())
    while j < 2*N and List[j][0] < D:
        if List[j][1] == 1:
            heapq.heappush(h, List[j][2])
            dic[List[j][2]] = True
        else:
            dic[List[j][2]] = False
        j += 1
    while h:
        ans = h[0]
        if dic[ans]:
            print(ans)
            break
        else:
            heapq.heappop(h)
    if not h:
        print(-1)

Solution (Python):


import sys
sys.setrecursionlimit(10 ** 7)
from bisect import bisect_left

def main():
    input = sys.stdin.readline
    N, Q = map(int, input().split())

    
    closure = []
    for _ in range(N):
        start, end, pos = map(int, input().split())
        closure.append((pos, start, end))

    
    closure.sort()

    D = [int(input()) for _ in range(Q)]

    
    ans = [-1] * Q
    
    skip = [-1] * Q

    
    
    for pos, start, end in closure:
        
        left = bisect_left(D, start - pos)
        
        right = bisect_left(D, end - pos)

        while left < right:
            if skip[left] == -1:
                
                ans[left] = pos
                
                skip[left] = right
                left += 1
            else:
                
                left = skip[left]

    return ans


if __name__ == '__main__':
    print(*main(), sep='\n')

Solution (Python):
def main():
    class segtree():
        def __init__(self,basesize):
            
            
            
            
            self.ini=10**9+1
            
            self.basesize=basesize
            self.num,self.depth=1,1
            while self.num<self.basesize:
                self.num*=2
                self.depth+=1
            self.num-=1
            
            self.monoid=min
            
            self.treesize=self.num+self.basesize
            self.tree=[self.ini]*self.treesize
    
        
        def range_update_pre(self,lower,upper,new_value):
            q=[[0,1]]  
            while q:
                i,f=q.pop()
                
                
                width=pow(2,self.depth-f)
                
                kagen=(i-pow(2,f-1)+1)*width
                chuo=kagen+width//2
                jogen=kagen+width
                k=2*i+1
                if lower<=kagen and jogen<=upper:
                    self.tree[i]=self.monoid(new_value,self.tree[i])
                    continue
                if k<self.treesize:
                    if lower<=kagen and chuo<=upper:self.tree[k]=self.monoid(new_value,self.tree[k])
                    elif lower<=chuo:q.append([k,f+1])
                if k+1<self.treesize:
                    if lower<=chuo and jogen<=upper:self.tree[k+1]=self.monoid(new_value,self.tree[k+1])
                    elif chuo<=upper:q.append([k+1,f+1])

        
        def range_update(self):
            for i in range(1,self.treesize):
                self.tree[i]=self.monoid(self.tree[i],self.tree[(i-1)//2])
    from sys import stdin
    input=stdin.readline
    import bisect

    n,q=map(int,input().split())
    stx=[list(map(int,input().split())) for _ in [0]*n]
    d=[int(input()) for _ in [0]*q]
    stx=[[s-x,t-x-1,x] for s,t,x in stx]
    stx=[[bisect.bisect_left(d,s),bisect.bisect_right(d,t),x] for s,t,x in stx]
    seg=segtree(q)
    for s,t,x in stx:
        if s<t:
            seg.range_update_pre(s,t,x)
    seg.range_update()
    ans=[i for i in seg.tree[seg.treesize-seg.basesize:]]
    for i in ans:
        if i==10**9+1:
            print(-1)
        else:
            print(i)
main()

Solution (Python):
def main():
    from bisect import bisect_left
    from bisect import bisect_right
    from sys import stdin
    input=stdin.readline

    n,q=map(int,input().split())
    stx=[list(map(int,input().split())) for _ in [0]*n]
    d=[int(input()) for _ in [0]*q]
    stx=[[s-x,t-x-1,x] for s,t,x in stx]
    stx=[[bisect_left(d,s),bisect_right(d,t),x] for s,t,x in stx]

    
    basesize=q
    num,depth=1,1
    while num<basesize:
        num*=2
        depth+=1
    num-=1
    
    treesize=num+basesize
    tree=[10**9+1]*treesize
    
    
    def range_update_pre(lower,upper,new_value):
        q=[[0,1]]  
        while q:
            i,f=q.pop()
            
            
            width=pow(2,depth-f)
            
            kagen=(i-pow(2,f-1)+1)*width
            chuo=kagen+width//2
            jogen=kagen+width
            k=2*i+1
            if lower<=kagen and jogen<=upper:
                tree[i]=min(new_value,tree[i])
                continue
            if k<treesize:
                if lower<=kagen and chuo<=upper:tree[k]=min(new_value,tree[k])
                elif lower<=chuo:q.append([k,f+1])
            if k+1<treesize:
                if lower<=chuo and jogen<=upper:tree[k+1]=min(new_value,tree[k+1])
                elif chuo<=upper:q.append([k+1,f+1])

    for s,t,x in stx:
        if s<t:
            range_update_pre(s,t,x)

    for i in range(1,treesize):
        tree[i]=min(tree[i],tree[(i-1)//2])

    ans=[i for i in tree[treesize-basesize:]]
    for i in ans:
        if i==10**9+1:
            print(-1)
        else:
            print(i)
main()

Solution (Python):



def solve():
    from heapq import heappush, heappop
    from collections import defaultdict
    from operator import itemgetter
    import sys

    input = sys.stdin.readline

    inf = 1 << 31

    n, q = map(int, input().split())

    S = [0] * n
    T = [0] * n
    X = [0] * n
    for i in range(n):
        S[i], T[i], X[i] = map(int, input().split())

    e = [(t - x, 0, x) for t, x in zip(T, X)]
    e.extend([(s - x, 1, x) for s, x in zip(S, X)])
    e.extend([(int(input()), 2, idx) for idx in range(q)])
    
    
    
    
    e.sort(key=itemgetter(0))
    

    cnt = defaultdict(int)
    cnt[inf] = 1
    h = [inf]
    ret = [-1] * q
    for time, type, x in e:
        if type == 0:
            cnt[x] -= 1
        elif type == 1:
            heappush(h, x)
            cnt[x] += 1
        else:
            while not (cnt[h[0]]):
                heappop(h)
            curr = h[0]
            if curr != inf:
                ret[x] = curr

    print(*ret, sep='\n')


if __name__ == '__main__':
    solve()

Solution (Python):



def solve():
    from heapq import heappush, heappop
    from collections import defaultdict
    from operator import itemgetter
    import sys

    input = sys.stdin.readline

    inf = 1 << 31

    n, q = map(int, input().split())

    S = [0] * n
    T = [0] * n
    X = [0] * n
    for i in range(n):
        S[i], T[i], X[i] = map(int, input().split())

    e = [(t - x, 0, x) for t, x in zip(T, X)]
    e.extend([(s - x, 1, x) for s, x in zip(S, X)])
    e.extend([(int(input()), 2, idx) for idx in range(q)])
    
    
    
    
    e.sort(key=itemgetter(0))
    

    cnt = defaultdict(int)
    cnt[inf] = 1
    h = [inf]
    ret = [-1] * q
    for time, type, x in e:
        if type == 0:
            cnt[x] -= 1
        elif type == 1:
            heappush(h, x)
            cnt[x] += 1
        else:
            while not (cnt[h[0]]):
                heappop(h)
            curr = h[0]
            if curr != inf:
                ret[x] = curr

    print(*ret, sep='\n')


if __name__ == '__main__':
    solve()

Solution (Python):



import sys
import math
from bisect import bisect_right as br
from bisect import bisect_left as bl
sys.setrecursionlimit(1000000)
from heapq import heappush, heappop,heappushpop
from collections import defaultdict
from itertools import accumulate
from collections import Counter
from collections import deque
from operator import itemgetter
from itertools import permutations
mod = 10**9 + 7
inf = float('inf')
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))

n,q = LI()
stx = [LI() for _ in range(n)]
d = [I() for _ in range(q)]
stx.sort(key = lambda x:(x[2],x[0]))
ans = [-1]*q
skip = [-1]*q
for s,t,x in stx:
    l = bl(d,s-x)
    r = bl(d,t-x)
    while l < r:
        if ans[l] < 0:
            skip[l] = r
            ans[l] = x
            l += 1
        else:
            l = skip[l]
print(*ans)

Solution (Python):
import sys
input = sys.stdin.readline
from collections import defaultdict
from heapq import heappop, heappush

N, Q = map(int, input().split())
INF = float('inf')

events = []
for i in range(N):
    S, T, X = map(int, input().split())
    events.append((S - X, 0, X))
    events.append((T - X, 1, X))

for _ in range(Q):
    events.append((int(input()), 2, 0))

events.sort()

cnt = defaultdict(int)
cnt[INF] += 1
que = [INF]

for t, flag, x in events:
    if flag == 0:
        if cnt[x] == 0:
            heappush(que, x)
        cnt[x] += 1
    elif flag == 1:
        cnt[x] -= 1
    else:
        while cnt[que[0]] == 0:
            heappop(que)
        print(que[0] if que[0] != INF else -1)

Solution (Python):
class SegmentTree :
    def __init__(self, n) :
        self.n = n
        self.N0 = 1 << n.bit_length()
        self.data = [10**15] * (self.N0*2)
 
    def update(self, l, r, val) :
        l += self.N0
        r += self.N0
        while l < r:
            if l & 1 :
                self.data[l] = min(self.data[l], val)
                l += 1
            if r & 1:
                self.data[r-1] = min(self.data[r-1], val)
                r -= 1
            l //= 2
            r //= 2
 
    def query(self, i) :
        i += len(self.data) // 2
        ret = self.data[i]
        while i > 0 :
            i //= 2
            ret = min(ret, self.data[i])
        return ret if ret < 10**15 else -1
import bisect
import sys
input = sys.stdin.readline
N, Q = map(int, input().split())
roads = []
for _ in range(N):
    s, t, x = map(int, input().split())
    roads.append((x, s, t))
compress_list = []
query = []
for _ in range(Q):
    d = int(input())
    compress_list.append(d)
S = SegmentTree(Q)
for x, s, t in roads:
    l = bisect.bisect_left(compress_list, s-x)
    r = bisect.bisect_left(compress_list, t-x)
    S.update(l, r, x)
for i in range(Q):
    print(S.query(i))

Solution (Python):
from bisect import bisect,bisect_left
import sys
input=sys.stdin.readline

def main():
    n,q=map(int,input().split())
    xst=[]
    for i in range(n):
        s,t,x=map(int,input().split())
        xst.append([x,s-x,t-x])
    xst.sort()
    d=[None]*q
    for i in range(q):
        d[i]=int(input())
    ans=[-1]*q
    skip=[-1]*q
    for u in xst:
        x ,left ,right = u
        a=bisect_left(d,left)
        b=bisect_left(d,right)
        while a < b:
            if skip[a] == -1:
                ans[a]=x
                skip[a]=b
                a+=1
            else:
                a=skip[a]
    for u in ans:
        print(u)

if __name__=="__main__":
    main()

Solution (Python):

from collections import defaultdict
from collections import deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
import itertools
sys.setrecursionlimit(10**5)
stdin = sys.stdin
bisect_left = bisect.bisect_left
bisect_right = bisect.bisect_right
def LI(): return list(map(int, stdin.readline().split()))
def LF(): return list(map(float, stdin.readline().split()))
def LI_(): return list(map(lambda x: int(x)-1, stdin.readline().split()))
def II(): return int(stdin.readline())
def IF(): return float(stdin.readline())
def LS(): return list(map(list, stdin.readline().split()))
def S(): return list(stdin.readline().rstrip())
def IR(n): return [II() for _ in range(n)]
def LIR(n): return [LI() for _ in range(n)]
def FR(n): return [IF() for _ in range(n)]
def LFR(n): return [LI() for _ in range(n)]
def LIR_(n): return [LI_() for _ in range(n)]
def SR(n): return [S() for _ in range(n)]
def LSR(n): return [LS() for _ in range(n)]
mod = 1000000007
inf = float('INF')


def A():
    a, p = LI()
    print((a*3+p)//2)
    return


def B():
    n = II()
    sp = []
    for i in range(n):
        sp.append(input().split())
    another = [(s[0], -1 * int(s[1]),num) for num,s in enumerate(sp)]
    another.sort()
    for s,p,q in another:
        print(q+1)

    return


def C():
    n, m = LI()
    ks = LIR_(m)
    p = LI()
    patern = itertools.product(range(2), repeat=n)
    ans = 0
    for on in patern:
        ki = [0 for i in range(m)]
        for num, oni in enumerate(on):
            if oni:
                for i,ksi in enumerate(ks):
                    ksi = ksi[1::]
                    if num in ksi:
                        ki[i] ^= 1
        for num, pi in enumerate(p):
            if pi != ki[num]:
                break
        else:
            ans += 1
    print(ans)

            
    return


def D():
    N, K = LI()
    v = LI()
    ans = 0
    for a in range(min(N, K) + 1):
        for b in range(min(N, K) + 1):
            if a + b > min(K,N):
                break
            if a == b == 0:
                continue
            deletes = K - a - b
            left = v[:a]
            right = v[:-b-1:-1]
            x = left + right
            x.sort()
            tmp = sum(x)
            for delete in range(min(deletes, len(x))):
                if x[delete] >= 0:
                    break
                tmp -= x[delete]
            ans = max(ans,tmp)
    
    print(ans)
                

    return



def E():  
    N,q = LI()
    STX = LIR(N)
    D = IR(q)
    LV = (q - 1).bit_length()
    N0 = 1 << LV

    data = [inf] * (N0 << 1)
    INF = inf

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

    def query(x):
        L = N0 + x - 1
        
        s = INF
        while L >= 0:
            s = min(s, data[L])
            L = (L - 1) >> 1
        return s

    for s, t, x in STX:
        XS = max(-1, s - x)
        XT = max(-1, t - x)
        XS_index = bisect_left(D, XS)
        XT_index = bisect_left(D, XT)
        update(XS_index, XT_index, x)

    for i in range(q):
        a = query(i)
        print(a if a != inf else -1)

def F():
    return


if __name__ == '__main__':
    E()

Solution (Python):
import sys
from heapq import heappush, heappop
n,q=map(int,input().split())
a=sorted(((s-x, t-x, x) for _ in range(n) for s, t, x in (map(int, sys.stdin.readline().split()),)), reverse=True)
heap=[]
ans=[]
z=list(map(int,sys.stdin))
for d in z:
  while a and a[-1][0]<=d:
    e=a.pop()
    heappush(heap,(e[2],e[1]))
  while heap and heap[0][1]<=d:
    heappop(heap)
  if heap:
    ans.append(heap[0][0])
  else:
    ans.append(-1)

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

Solution (Python):
import sys
from heapq import heappush, heappop
n,q=map(int,input().split())
a=sorted(((s-x, t-x, x) for _ in range(n) for s, t, x in (map(int, sys.stdin.readline().split()),)), reverse=True)
heap=[]
ans=[]
for i in range(q):
  d=int(input())
  while a and a[-1][0]<=d:
    e=a.pop()
    heappush(heap,(e[2],e[1]))
  while heap and heap[0][1]<=d:
    heappop(heap)
  if heap:
    ans.append(heap[0][0])
  else:
    ans.append(-1)

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

Solution (Python):
import sys
sys.setrecursionlimit(2147483647)
INF=float("inf")
MOD=10**9+7
input=lambda :sys.stdin.readline().rstrip()
def resolve():
    n,q=map(int,input().split())
    S,T,X=[0]*n,[0]*n,[0]*n
    for i in range(n):
        S[i],T[i],X[i]=map(int,input().split())
    D=[int(input()) for _ in range(q)]

    E=[]
    E+=[(s-x,1,x) for s,x in zip(S,X)]
    E+=[(t-x,2,x) for t,x in zip(T,X)]
    E+=[(d,3,i) for i,d in enumerate(D)]
    E.sort()
    from collections import defaultdict
    cnt=defaultdict(int)
    cnt[INF]=1

    from heapq import heappop,heappush
    Q=[INF]
    ans=[-1]*q
    for a,b,c in E:
        if(b==1):
            heappush(Q,c)
            cnt[c]+=1
        elif(b==2): 
            cnt[c]-=1
        else:
            while(cnt[Q[0]]==0): 
                heappop(Q)
            x=Q[0]
            if(x!=INF): ans[c]=x
    print(*ans,sep="\n")
resolve()

Solution (Python):
import sys
sys.setrecursionlimit(2147483647)
INF=float("inf")
MOD=10**9+7
input=lambda :sys.stdin.readline().rstrip()
def resolve():
    n,q=map(int,input().split())
    S,T,X=[0]*n,[0]*n,[0]*n
    D=[0]*q
    for i in range(n):
        S[i],T[i],X[i]=map(int,input().split())
    for j in range(q):
        D[j]=int(input())

    E=[]
    E+=[(s-x,1,x) for s,x in zip(S,X)]
    E+=[(t-x,2,x) for t,x in zip(T,X)]
    E+=[(d,3,i) for i,d in enumerate(D)]
    E.sort()
    from collections import defaultdict
    cnt=defaultdict(int)
    cnt[INF]=1

    from heapq import heappop,heappush
    Q=[INF]
    ans=[-1]*q
    for a,b,c in E:
        if(b==1):
            heappush(Q,c)
            cnt[c]+=1
        elif(b==2): 
            cnt[c]-=1
        else:
            while(cnt[Q[0]]==0): 
                heappop(Q)
            x=Q[0]
            if(x!=INF): ans[c]=x
    print(*ans,sep="\n")
resolve()

Solution (Python):
import sys
sys.setrecursionlimit(2147483647)
INF=float("inf")
MOD=10**9+7
input=lambda :sys.stdin.buffer.readline().rstrip()
def resolve():
    n,q=map(int,input().split())
    S,T,X=[0]*n,[0]*n,[0]*n
    D=[0]*q
    for i in range(n):
        S[i],T[i],X[i]=map(int,input().split())
    for j in range(q):
        D[j]=int(input())

    E=[]
    E+=[(s-x,1,x) for s,x in zip(S,X)]
    E+=[(t-x,2,x) for t,x in zip(T,X)]
    E+=[(d,3,i) for i,d in enumerate(D)]
    E.sort()
    from collections import defaultdict
    cnt=defaultdict(int)
    cnt[INF]=1

    from heapq import heappop,heappush
    Q=[INF]
    ans=[-1]*q
    for a,b,c in E:
        if(b==1):
            heappush(Q,c)
            cnt[c]+=1
        elif(b==2): 
            cnt[c]-=1
        else:
            while(cnt[Q[0]]==0): 
                heappop(Q)
            x=Q[0]
            if(x!=INF): ans[c]=x
    print(*ans,sep="\n")
resolve()

Solution (Python):
import sys
sys.setrecursionlimit(2147483647)
INF=float("inf")
MOD=10**9+7
input=lambda :sys.stdin.readline().rstrip()
def resolve():
    n,q=map(int,input().split())
    S,T,X=[0]*n,[0]*n,[0]*n
    D=[0]*q
    for i in range(n):
        S[i],T[i],X[i]=map(int,input().split())
    for j in range(q):
        D[j]=int(input())

    E=[]
    E+=[(s-x,1,x) for s,x in zip(S,X)]
    E+=[(t-x,2,x) for t,x in zip(T,X)]
    E+=[(d,3,i) for i,d in enumerate(D)]
    E.sort()
    cnt={x:0 for x in X}
    cnt[INF]=1

    from heapq import heappop,heappush
    Q=[INF]
    ans=[-1]*q
    for a,b,c in E:
        if(b==1):
            heappush(Q,c)
            cnt[c]+=1
        elif(b==2): 
            cnt[c]-=1
        else:
            while(cnt[Q[0]]==0): 
                heappop(Q)
            x=Q[0]
            if(x!=INF): ans[c]=x
    print(*ans,sep="\n")
resolve()

Solution (Python):
import sys
sys.setrecursionlimit(2147483647)
INF=float("inf")
MOD=10**9+7
input=lambda :sys.stdin.buffer.readline().rstrip()
read = sys.stdin.buffer.read
def resolve():
    n,q=map(int,input().split())
    data = list(map(int,read().split()))
    S = data[:3*n:3]
    T = data[1:3*n:3]
    X = data[2:3*n:3]
    D = data[3*n:]

    E=[]
    E+=[(s-x,1,x) for s,x in zip(S,X)]
    E+=[(t-x,2,x) for t,x in zip(T,X)]
    E+=[(d,3,i) for i,d in enumerate(D)]
    E.sort()
    from collections import defaultdict
    cnt=defaultdict(int)
    cnt[INF]=1

    from heapq import heappop,heappush
    Q=[INF]
    ans=[None]*q
    for a,b,c in E:
        if(b==1):
            heappush(Q,c)
            cnt[c]+=1
        elif(b==2): 
            cnt[c]-=1
        else:
            while(cnt[Q[0]]==0): 
                heappop(Q)
            x=Q[0]
            ans[c]=x if(x!=INF) else -1
    print(*ans,sep="\n")
resolve()

Solution (Python):
import sys
input=sys.stdin.readline
import heapq
n,q=map(int,input().split())
l=[list(map(int,input().split())) for i in range(n)]
L1=[]
for i in range(n):
  L1.append((l[i][0]-l[i][2],1,l[i][2]))
  L1.append((l[i][1]-l[i][2],-1,l[i][2]))
for i in range(q):
  L1.append((int(input()),2,0))
L1.sort()
L2=[]
heapq.heapify(L2)
L3=[]
L3=set(L3)
for i in range(len(L1)):
  if L1[i][1]==1:
    heapq.heappush(L2,L1[i][2])
    L3.add(L1[i][2])
  elif L1[i][1]==-1:
    L3.remove(L1[i][2])
  else:
    while L2 and L2[0] not in L3:
      heapq.heappop(L2)
    if L2:
      print(L2[0])
    else:
      print(-1)

Solution (Python):

class BITbisect():
    def __init__(self, max):
        self.max = max
        self.data = [0]*(self.max+1)
    
    
    
    def query_sum(self, i):
        s = 0
        while i > 0:
            s += self.data[i]
            i -= i & -i
        return s

    
    
    def add(self, i, x):
        while i <= self.max:
            self.data[i] += x
            i += i & -i

    def insert(self, x):
        self.add(x, 1)

    def delete(self, x):
        self.add(x, -1)

    def count(self, x):
        return self.query_sum(x) - self.query_sum(x-1)
    
    def length(self):
        return self.query_sum(self.max)
    
    
    
    def search(self, c):
        c += 1
        s = 0
        ind = 0
        l = self.max.bit_length()
        for i in reversed(range(l)):
            if ind + (1<<i) <= self.max:
                if s + self.data[ind+(1<<i)] < c:
                    s += self.data[ind+(1<<i)]
                    ind += (1<<i)
        if ind == self.max:
            return False
        return ind + 1
    
    def bisect_right(self, x):
        return self.query_sum(x)

    def bisect_left(self, x):
        if x == 1:
            return 0
        return self.query_sum(x-1)

    
    def display(self):
        print('inside BIT:', end=' ')
        for x in range(1, self.max+1):
            if self.count(x):
                c = self.count(x)
                for _ in range(c):
                    print(x, end=' ')
        print()

from bisect import bisect_left, bisect_right
from operator import itemgetter
import sys
input = sys.stdin.readline

N, Q = map(int, input().split())
STX = [list(map(int, input().split())) for _ in range(N)]
D = [int(input()) for _ in range(Q)]

bit = BITbisect(Q+1)

for i, d in enumerate(D):
    bit.insert(i+1)

STX.sort(key=itemgetter(2))

ans = [-1]*Q
for s, t, x in STX:
    
    
    il = bisect_left(D, s-x)
    ir = bisect_right(D, t-x-1)
    
    ind_l = bit.bisect_right(il)
    ind_r = bit.bisect_right(ir)
    
    for ind in range(ind_l, ind_r):
        il = bit.search(ind_l)
        bit.delete(il)
        ans[il-1] = x


for a in ans:
    print(a)

Solution (Python):
def main():
    n,q = map(int, input().split())
    tl = []
    que = []
    d = dict()
    for _ in range(n):
        s,t,x = map(int, input().split())
        tl.append((s-x,1,x))
        tl.append((t-x,0,x))
    for _ in range(q):
        t = int(input())
        tl.append((t,2))
    tl.sort()
    wor = set()
    wcur = 0
    cur = -1
    flg = 0
    for x in tl:
        if x[1] == 1:
            wcur += 1
            wor.add(x[2])
            if cur < 0 or x[2] < cur:
                cur = x[2]
                flg = 0
        elif x[1] == 0:
            wcur -= 1 
            wor.remove(x[2])
            if x[2] == cur:
                flg = 1
            if not wcur:
                cur = -1
                flg = 0
        else:
            if flg:
                cur = min(wor)
                flg = 0
            print(cur)
    
if __name__ == "__main__":
    main()

Solution (Python):
import sys
input = sys.stdin.readline
from bisect import bisect_left
inf = float('inf')


class SegmentTree:
    def __init__(self, N):
        tmp = 1
        while tmp < N:
            tmp <<= 1
        
        self.N = tmp
        
        
        self.Data = [inf for _ in range(2*self.N)]
    
    
    def update(self, l, r, x):
        
        L = l + self.N
        R = r + self.N
        while L < R:
            
            
            if L & 1:
                self.Data[L] = min([self.Data[L], x])
                L += 1
            
            
            if R & 1:
                R -= 1
                self.Data[R] = min([self.Data[R], x])
            L >>= 1; R >>= 1
    
    
    def value(self, k):
        
        k += self.N
        res = self.Data[k]
        while k != 1:
            k >>= 1
            res = min(res, self.Data[k])
        return res


N, Q = map(int,input().split())
STX = [list(map(int,input().split())) for _ in range(N)]
D = [int(input()) for _ in range(Q)]

st = SegmentTree(Q)
for S, T, X in STX:
    l = bisect_left(D, S-X)
    r = bisect_left(D, T-X)
    st.update(l, r, X)

for k in range(Q):
    ans = st.value(k)
    if ans == inf:
        ans = -1
    print(ans)