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.



Sample input:
4 6
1 3 2
7 13 10
18 20 13
3 4 2
0
1
2
3
5
8


Sample output:
2
2
10
-1
13
-1

Submission status: Runtime Error

Solution code:
def gindex(l, r):
    L = l + N0; R = r + N0
    lm = (L // (L & -L)) >> 1
    rm = (R // (R & -R)) >> 1
    while L < R:
        if R <= rm:
            yield R
        if L <= lm:
            yield L
        L >>= 1; R >>= 1
    while L:
        yield L
        L >>= 1

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

def update(l, r, x):
    *ids, = gindex(l, r)
    propagates(*ids)

    L = N0 + l; R = N0 + r
    while L < R:
        if R & 1:
            R -= 1
            lazy[R-1] = data[R-1] = x
        if L & 1:
            lazy[L-1] = data[L-1] = x
            L += 1
        L >>= 1; R >>= 1
    for i in ids:
        data[i-1] = min(data[2*i-1], data[2*i])

def query(l, r):
    propagates(*gindex(l, r))
    L = N0 + l; R = N0 + r

    s = float('inf')
    while L < R:
        if R & 1:
            R -= 1
            s = min(s, data[R-1])
        if L & 1:
            s = min(s, data[L-1])
            L += 1
        L >>= 1; R >>= 1
    return s


from bisect import bisect_left
from sys import stdin

if __name__ == '__main__':
    n, q = map(int, input().split())
    stx = [list(map(int, input().split())) for _ in range(n)]
    l = [int(input()) for _ in range(q)]

    N = len(l)
    LV = (N-1).bit_length()
    N0 = 2**LV
    data = [float('inf')]*(2*N0)
    lazy = [None]*(2*N0)

    stx.sort(key=lambda x:x[2], reverse=True)
    for s, t, x in stx:
        i1 = bisect_left(l, s - 0.5 - x)
        i2 = bisect_left(l, t - 0.5 - x)
        update(i1, i2, x)

    for i in range(q):
        tmp = query(i, i+1)
        if tmp == float('inf'):
            print(-1)
        else:
            print(tmp)

Submission status: Runtime Error

Solution code:
def gindex(l, r):
    L = l + N0; R = r + N0
    lm = (L // (L & -L)) >> 1
    rm = (R // (R & -R)) >> 1
    while L < R:
        if R <= rm:
            yield R
        if L <= lm:
            yield L
        L >>= 1; R >>= 1
    while L:
        yield L
        L >>= 1

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

def update(l, r, x):
    *ids, = gindex(l, r)
    propagates(*ids)

    L = N0 + l; R = N0 + r
    while L < R:
        if R & 1:
            R -= 1
            lazy[R-1] = data[R-1] = x
        if L & 1:
            lazy[L-1] = data[L-1] = x
            L += 1
        L >>= 1; R >>= 1
    for i in ids:
        data[i-1] = min(data[2*i-1], data[2*i])

def query(l, r):
    propagates(*gindex(l, r))
    L = N0 + l; R = N0 + r

    s = float('inf')
    while L < R:
        if R & 1:
            R -= 1
            s = min(s, data[R-1])
        if L & 1:
            s = min(s, data[L-1])
            L += 1
        L >>= 1; R >>= 1
    return s


from bisect import bisect_left
from sys import stdin

if __name__ == '__main__':
    n, q = map(int, stdin.readline().rstrip().split())
    stx = [list(map(int, stdin.readline().rstrip().split())) for _ in range(n)]
    l = [int(stdin.readline().rstrip()) for _ in range(q)]

    N = len(l)
    LV = (N-1).bit_length()
    N0 = 2**LV
    data = [float('inf')]*(2*N0)
    lazy = [None]*(2*N0)

    stx.sort(key=lambda x:x[2], reverse=True)
    for s, t, x in stx:
        i1 = bisect_left(l, s - 0.5 - x)
        i2 = bisect_left(l, t - 0.5 - x)
        update(i1, i2, x)

    for i in range(q):
        tmp = query(i, i+1)
        if tmp == float('inf'):
            print(-1)
        else:
            print(tmp)

Submission status: Runtime Error

Solution code:
n, q = map(int, input().split())
stx = [list(map(int, input().split())) for _ in range(n)]
d = [int(input()) for _ in range(q)]

l = d.copy()

N = len(l)
LV = (N-1).bit_length()
N0 = 2**LV
data = [float('inf')]*(2*N0)
lazy = [None]*(2*N0)

# 伝搬対象の区間を求める
def gindex(l, r):
    L = (l + N0) >> 1; R = (r + N0) >> 1
    lc = 0 if l & 1 else (L & -L).bit_length()
    rc = 0 if r & 1 else (R & -R).bit_length()
    for i in range(LV):
        if rc <= i:
            yield R
        if L < R and lc <= i:
            yield L
        L >>= 1; R >>= 1

# 遅延伝搬処理
def propagates(*ids):
    for i in reversed(ids):
        v = lazy[i-1]
        if v is None:
            continue
        lazy[2*i-1] = data[2*i-1] = lazy[2*i] = data[2*i] = v
        lazy[i-1] = None

# 区間[l, r)をxで更新
def update(l, r, x):
    *ids, = gindex(l, r)
    propagates(*ids)

    L = N0 + l; R = N0 + r
    while L < R:
        if R & 1:
            R -= 1
            lazy[R-1] = data[R-1] = x
        if L & 1:
            lazy[L-1] = data[L-1] = x
            L += 1
        L >>= 1; R >>= 1
    for i in ids:
        data[i-1] = min(data[2*i-1], data[2*i])

# 区間[l, r)内の最小値を求める
def query(l, r):
    propagates(*gindex(l, r))
    L = N0 + l; R = N0 + r

    s = float('inf')
    while L < R:
        if R & 1:
            R -= 1
            s = min(s, data[R-1])
        if L & 1:
            s = min(s, data[L-1])
            L += 1
        L >>= 1; R >>= 1
    return s

from bisect import bisect_left

stx.sort(key=lambda x:x[2], reverse=True)
for s, t, x in stx:
    i1 = bisect_left(l, s - 0.5 - x)
    i2 = bisect_left(l, t - 0.5 - x)
    update(i1, i2, x)

for i in range(q):
    tmp = query(i, i+1)
    if tmp == float('inf'):
        print(-1)
    else:
        print(tmp)

Submission status: Runtime Error

Solution code:
def main():
    import sys
    from operator import itemgetter
    input = sys.stdin.readline

    class SegTree():
        def __init__(self, A):
            n_ = len(A)
            self.n = 1
            while self.n < n_:
                self.n *= 2
            self.tree = [1] * (2 * self.n - 1)
            for k, a in enumerate(A):
                self.update(k, a)
        def update(self, k, a):
            k += self.n - 1
            self.tree[k] = a
            while k > 0:
                k = (k - 1) // 2
                self.tree[k] = min(self.tree[k * 2 + 1], self.tree[k * 2 + 2])
        def query(self, l, r):
            l += self.n - 1
            r += self.n - 2
            res = 1
            while r-l>1:
                if l&1 == 0:
                    res = min(res,self.tree[l])
                if r&1 == 1:
                    res = min(res,self.tree[r])
                    r -= 1
                l = l//2
                r = (r-1)//2
            if l == r:
                res = min(res,self.tree[l])
            else:
                res = min(min(res,self.tree[l]),self.tree[r])
            return res

    n, q = map(int, input().split())
    X = []
    stx = []
    tmp = set([])

    for _ in range(n):
        s,t,x = map(int, input().split())
        stx.append((s,t,x))
        X.append(x, _)
        tmp.add(x-t)
        tmp.add(x-s)

    d = {}
    for i in range(q):
        di = -int(input())
        tmp.add(di)
        d[di] = i

    X.sort(key = itemgetter(0))

    v2i = {}

    for i, v in enumerate(sorted(tmp)):
        v2i[v] = i

    l = [1] * (len(tmp) + 1)

    for di in d:
        l[v2i[di]] = di
            
    sgt = SegTree(l)
    ans = {}

    sgt_update = sgt.update
    sgt_query = sgt.query
        
    for x, i in X:
        s, t, x = stx[i]
        l = v2i[x-t] + 1
        r = v2i[x-s] + 1
        v = sgt_query(l, r)
        while v != 1:
            i_d = d[v]
            i_sg = v2i[v]
            ans[i_d] = x
            sgt_update(i_sg, 1)
            v = sgt_query(l, r)

    for i in range(q):
        if i in ans:
            print(ans[i])
        else:
            print(-1)
            
if __name__ == '__main__':
    main()

Submission status: Runtime Error

Solution code:
INF = 1
class SegTree():
    def __init__(self, A):
        n_ = len(A)
        self.n = 1
        while self.n < n_:
            self.n *= 2
        self.tree = [INF for _ in range(2 * self.n - 1)]
        for k, a in enumerate(A):
            self.update(k, a)

    def update(self, k, a):
        k += self.n - 1
        self.tree[k] = a
        while k > 0:
            k = (k - 1) // 2
            self.tree[k] = min(self.tree[k * 2 + 1], self.tree[k * 2 + 2])

    def query(self, l, r):
        l += self.n - 1
        r += self.n - 2
        res = INF
        while r-l>1:
            if l&1 == 0:
                res = min(res,self.tree[l])
            if r&1 == 1:
                res = min(res,self.tree[r])
                r -= 1
            l = l//2
            r = (r-1)//2
        if l == r:
            res = min(res,self.tree[l])
        else:
            res = min(min(res,self.tree[l]),self.tree[r])
        return res


import sys
input = sys.stdin.readline

def main():
    n, q = map(int, input().split())
    stx = []
    for _ in range(n):
        s, t, x = map(int, input().split()))
        stx.append(x*10**20 + s*10**10 + t)

    stx.sort()
    tmp = []
    for i in range(q):
        tmp.append(10**18 + 10**9 * -int(input()) + 1*10**6 + i)

    for i, (s, t, x) in enumerate(stx):
        tmp.append(10**18 + 10**9 * (x-s) + 2*10**6 + i)
        tmp.append(10**18 + 10**9 * (x-t) + 0*10**6 + i)

    tmp.sort()
    exit(0)
    l = []
    d2i = {}
    memo = - 10 ** 10
    i_sg = -1

    for val, cat, index in tmp:
        if val > memo:
            i_sg += 1
            l.append(1)
        if cat == "B":
            l[i_sg]=val
            d2i[val] = (i_sg, index)
        elif cat == "A":
            stx[index][0] = i_sg
        else:
            stx[index][1] = i_sg

        memo = val
    sgt = SegTree(l + [1])
    ans = [-1] * q
    sgt_update = sgt.update
    sgt_query = sgt.query

    for s, t, x in stx:
        v = sgt_query(s+1, t+1)
        while v < 1:
            i_sg, i_d = d2i[v]
            ans[i_d] = x
            sgt_update(i_sg, 1)
            v = sgt_query(s+1, t+1)

    for ansi in ans:
        print(ansi)


main()

Submission status: Runtime Error

Solution code:
INF = 1
class SegTree():
    def __init__(self, A):
        n_ = len(A)
        self.n = 1
        while self.n < n_:
            self.n *= 2
        self.tree = [INF for _ in range(2 * self.n - 1)]
        for k, a in enumerate(A):
            self.update(k, a)

    def update(self, k, a):
        k += self.n - 1
        self.tree[k] = a
        while k > 0:
            k = (k - 1) // 2
            self.tree[k] = min(self.tree[k * 2 + 1], self.tree[k * 2 + 2])

    def query(self, l, r):
        l += self.n - 1
        r += self.n - 2
        res = INF
        while r-l>1:
            if l&1 == 0:
                res = min(res,self.tree[l])
            if r&1 == 1:
                res = min(res,self.tree[r])
                r -= 1
            l = l//2
            r = (r-1)//2
        if l == r:
            res = min(res,self.tree[l])
        else:
            res = min(min(res,self.tree[l]),self.tree[r])
        return res


import sys
input = sys.stdin.readline

def main():
    n, q = map(int, input().split())
    stx = list(map(int, input().split()))
    tmp = [(-int(input()), 1, i) for i in range(q)]
    stx.sort(key=lambda x:x[2])
    for i, (s, t, x) in enumerate(stx):
        tmp.append((x-s, 2, i))
        tmp.append((x-t, 0, i))

    exit(0)
    tmp.sort()
    l = []
    d2i = {}
    memo = - 10 ** 10
    i_sg = -1

    for val, cat, index in tmp:
        if val > memo:
            i_sg += 1
            l.append(1)
        if cat == "B":
            l[i_sg]=val
            d2i[val] = (i_sg, index)
        elif cat == "A":
            stx[index][0] = i_sg
        else:
            stx[index][1] = i_sg

        memo = val
    sgt = SegTree(l + [1])
    ans = [-1] * q
    sgt_update = sgt.update
    sgt_query = sgt.query

    for s, t, x in stx:
        v = sgt_query(s+1, t+1)
        while v < 1:
            i_sg, i_d = d2i[v]
            ans[i_d] = x
            sgt_update(i_sg, 1)
            v = sgt_query(s+1, t+1)

    for ansi in ans:
        print(ansi)


main()

Submission status: Runtime Error

Solution code:
def main():
    import sys
    input = sys.stdin.readline

    INF = 1

    class SegTree():
        def __init__(self, A):
            n_ = len(A)
            self.n = 1
            while self.n < n_:
                self.n *= 2
            self.tree = [INF for _ in range(2 * self.n - 1)]
            for k, a in enumerate(A):
                self.update(k, a)
        def update(self, k, a):
            k += self.n - 1
            self.tree[k] = a
            while k > 0:
                k = (k - 1) // 2
                self.tree[k] = min(self.tree[k * 2 + 1], self.tree[k * 2 + 2])
        def query(self, l, r):
            l += self.n - 1
            r += self.n - 2
            res = INF
            while r-l>1:
                if l&1 == 0:
                    res = min(res,self.tree[l])
                if r&1 == 1:
                    res = min(res,self.tree[r])
                    r -= 1
                l = l//2
                r = (r-1)//2
            if l == r:
                res = min(res,self.tree[l])
            else:
                res = min(min(res,self.tree[l]),self.tree[r])
            return res

    n, q = map(int, input().split())
    stx = []
    tmp = set([])

    for _ in range(n):
        s,t,x = map(int, input().split())
        stx.append([s,t,x])
        tmp.add(t-x)
        tmp.add(s-x)

    
    for i in range(q):
        tmp.add(-int(input()))

    stx.sort(key = lambda x:x[2])

    tmp = list(tmp)
    tmp.sort()

    l = []
    d2i = {}
    memo = - 10 ** 10
    i_sg = -1

    for val, cat, index in tmp:
        if val > memo:
            i_sg += 1
            l.append(1)
        if cat == "B":
            l[i_sg]=val
            d2i[val] = (i_sg, index)
        elif cat == "A":
            stx[index][0] = i_sg
        else:
            stx[index][1] = i_sg

        memo = val

            
    # sgt = SegTree(l + [1])
    # ans = [-1] * q

    # sgt_update = sgt.update
    # sgt_query = sgt.query
        
    # for s, t, x in stx:
    #     v = sgt_query(s+1, t+1)
    #     while v < 1:
    #         i_sg, i_d = d2i[v]
    #         ans[i_d] = x
    #         sgt_update(i_sg, 1)
    #         v = sgt_query(s+1, t+1)

    # for ansi in ans:
    #     print(ansi)
            

main()

Submission status: Runtime Error

Solution code:
import sys
input = sys.stdin.readline

INF = 1

class SegTree():
    def __init__(self, A):
        n_ = len(A)
        self.n = 1
        while self.n < n_:
            self.n *= 2
        self.tree = [INF for _ in range(2 * self.n - 1)]
        for k, a in enumerate(A):
            self.update(k, a)
    def update(self, k, a):
        k += self.n - 1
        self.tree[k] = a
        while k > 0:
            k = (k - 1) // 2
            self.tree[k] = min(self.tree[k * 2 + 1], self.tree[k * 2 + 2])
    def query(self, l, r):
        l += self.n - 1
        r += self.n - 2
        res = INF
        while r-l>1:
            if l&1 == 0:
                res = min(res,self.tree[l])
            if r&1 == 1:
                res = min(res,self.tree[r])
                r -= 1
            l = l//2
            r = (r-1)//2
        if l == r:
            res = min(res,self.tree[l])
        else:
            res = min(min(res,self.tree[l]),self.tree[r])
        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)]
stx.sort(key = lambda x:x[2])


tmp = []

for i, di in enumerate(d):
    tmp.append([di, "B", i])

for i, (s, t, x) in enumerate(stx):
    tmp.append([x-s, "C", i])
    tmp.append([x-t, "A", i])    

tmp.sort()
l = [1] * (n+q)
d2i = {}
memo = - 10 ** 10
i_sg = -1

for val, cat, index in tmp:
    if val > memo:
        i_sg += 1
    if cat == "B":
        l[i_sg]=val
        d2i[val] = (i_sg, index)
    elif cat == "A":
        stx[index][0] = i_sg
    else:
        stx[index][1] = i_sg

    memo = val

        
sgt = SegTree(l + [1])
ans = [-1 for i in range(q)]
# print(sgt.tree)
# print(d2i)
    
for s, t, x in stx:
    # print(s, t, x)
    v = sgt.query(s+1, t+1)
    while v < 1:
        # print(v)
        i_sg, i_d = d2i[v]
        ans[i_d] = x
        sgt.update(i_sg, 1)
        v = sgt.query(s+1, t+1)

for ansi in ans:
    print(ansi)

Submission status: Runtime Error

Solution code:
import sys
input = sys.stdin.readline

INF = 1

class SegTree():
    def __init__(self, A):
        n_ = len(A)
        self.n = 1
        while self.n < n_:
            self.n *= 2
        self.tree = [INF for _ in range(2 * self.n - 1)]
        for k, a in enumerate(A):
            self.update(k, a)
    def update(self, k, a):
        k += self.n - 1
        self.tree[k] = a
        while k > 0:
            k = (k - 1) // 2
            self.tree[k] = min(self.tree[k * 2 + 1], self.tree[k * 2 + 2])
    def query(self, l, r):
        l += self.n - 1
        r += self.n - 2
        res = INF
        while r-l>1:
            if l&1 == 0:
                res = min(res,self.tree[l])
            if r&1 == 1:
                res = min(res,self.tree[r])
                r -= 1
            l = l//2
            r = (r-1)//2
        if l == r:
            res = min(res,self.tree[l])
        else:
            res = min(min(res,self.tree[l]),self.tree[r])
        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)]
stx.sort(key = lambda x:x[2])


tmp = []

for i, di in enumerate(d):
    tmp.append([di, "B", i])

for i, (s, t, x) in enumerate(stx):
    tmp.append([x-s, "C", i])
    tmp.append([x-t, "A", i])    

tmp.sort()
l = [1] * (n+q)
d2i = {}
memo = set([])
i_sg = -1

for val, cat, index in tmp:
    if val not in memo:
        i_sg += 1
    if cat == "B":
        l[i_sg]=val
        d2i[val] = (i_sg, index)
    elif cat == "A":
        stx[index][0] = i_sg
    else:
        stx[index][1] = i_sg

    memo.add(val)

        
sgt = SegTree(l + [1])
ans = [-1 for i in range(q)]
# print(sgt.tree)
# print(d2i)
    
for s, t, x in stx:
    # print(s, t, x)
    v = sgt.query(s+1, t+1)
    while v < 1:
        # print(v)
        i_sg, i_d = d2i[v]
        ans[i_d] = x
        sgt.update(i_sg, 1)
        v = sgt.query(s+1, t+1)

for ansi in ans:
    print(ansi)

Submission status: Runtime Error

Solution code:
from bisect import bisect_left, bisect_right
class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n
    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]
    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return
        if self.parents[x] > self.parents[y]:
            x, y = y, x
        self.parents[x] += self.parents[y]
        self.parents[y] = x
    def size(self, x):
        return -self.parents[self.find(x)]
    def same(self, x, y):
        return self.find(x) == self.find(y)
    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]
    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]
    def group_count(self):
        return len(self.roots())
    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}
    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())
def main():
    N, Q = map(int, input().split())
    kouji = [list(map(int, input().split())) for _ in range(N)]
    D = [int(input()) for _ in range(Q)]
    ans = [[-1, i+1] for i in range(Q)]
    uf = UnionFind(Q)
    kouji.sort(key=lambda x: (x[2], x[0]))
    for i in range(N):
        S, T, X = kouji[i]
        L = S-X
        R = T-X-1
        L_idx = bisect_left(D, L)
        R_idx = bisect_right(D, R)
        if uf.same(L_idx, R_idx):
            continue
        p = L_idx
        while p < Q and p < R_idx:
            if ans[p][0] == -1:
                ans[p][0] = X
                uf.union(L_idx, p)
                ans[p][1] = R_idx
                p += 1
            else:
                par = uf.find(p)
                p = ans[par][1]
                uf.union(L_idx, par)
                par = uf.find(par)
                if ans[par][1] < R_idx:
                    ans[par][1] = R_idx
                if ans[par][1] < p:
                    ans[par][1] = p
    for i in range(Q):
        print(ans[i][0])

if __name__ == "__main__":
    main()

Submission status: Runtime Error

Solution code:
from bisect import bisect_left, bisect_right
class UnionFind():
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n
    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]
    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return
        if self.parents[x] > self.parents[y]:
            x, y = y, x
        self.parents[x] += self.parents[y]
        self.parents[y] = x
    def size(self, x):
        return -self.parents[self.find(x)]
    def same(self, x, y):
        return self.find(x) == self.find(y)
    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]
    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]
    def group_count(self):
        return len(self.roots())
    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}
    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())
def main():
    N, Q = map(int, input().split())
    kouji = [list(map(int, input().split())) for _ in range(N)]
    D = [int(input()) for _ in range(Q)]
    ans = [[-1, i+1] for i in range(Q)]
    uf = UnionFind(Q)
    kouji.sort(key=lambda x: (x[2], x[0]))
    for i in range(N):
        S, T, X = kouji[i]
        L = S-X
        R = T-X-1
        L_idx = bisect_left(D, L)
        R_idx = bisect_right(D, R)
        p = L_idx
        while p < Q and p < R_idx:
            if ans[p][0] == -1:
                ans[p][0] = X
            pre = p
            p = ans[p][1]
            if not uf.same(L_idx, p):
                uf.union(L_idx, p)
                if ans[L_idx][1] < ans[p][1]:
                    ans[L_idx][1] = ans[p][1]
                else:
                    ans[p][1] = ans[L_idx][1]
            if ans[pre][1] < R_idx:
                ans[pre][1] = R_idx
    for i in range(Q):
        print(ans[i][0])


if __name__ == "__main__":
    main()

Submission status: Runtime Error

Solution code:
def main():
    from bisect import bisect_left
    from bisect import bisect_right

    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]
    event=[]
    for s,t,x in stx:
        event.append([s,1,x])
        event.append([t,-1,x])
    event.sort()
    event+=[[q,1,10**9+1]]
    now=set()
    i=0
    for t,flag,x in event:
        if t>i:
            i+=1
            if len(now)==0:
                print(-1)
            else:
                print(min(now))
        if flag==1:
            now.add(x)
        else:
            now.remove(x)
main()

Submission status: Runtime Error

Solution code:
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()

Submission status: Runtime Error

Solution code:
from collections import deque
import sys
n,p=map(int,input().split())

e=[]
for _ in range(n):
    s,t,x = map(int,input().split())
    e.append((s-x,1,x))
    e.append((t-x,-1,x))
e.sort(key=lambda x:x[0])
q = deque()
for _ in range(p):
    q.append(int(input()))
s=set()

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

Submission status: Runtime Error

Solution code:
from collections import deque
import sys
input = sys.stdin.readline
n,p=map(int,input().split())

e=[]
for _ in range(n):
    s,t,x = map(int,input().split())
    e.append((s-x,1,x))
    e.append((t-x,-1,x))
e = sorted(e, key=lambda x:x[0])
q = deque()
for _ in range(p):
    q.append(int(input()))
s=set()

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

Submission status: Runtime Error

Solution code:
from collections import deque
from operator import itemgetter
import heapq
import sys
n,p=map(int,input().split())

e=[]
for _ in range(n):
    s,t,x = map(int,input().split())
    e.append((s-x,1,x))
    e.append((t-x,-1,x))
e = sorted(e, key=itemgetter(0))
q = deque()
for _ in range(p):
    q.append(int(input()))
s=set()

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

Submission status: Runtime Error

Solution code:
from collections import deque
import sys
n,p=map(int,input().split())

e=[]
for _ in range(n):
    s,t,x = map(int,input().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=set()
#print(e)
for t,f,x in e:
    while t > q[0] and q:
        #print((t,f,x,q.popleft()))
        q.popleft()
        if len(s) == 0:
            print(-1)
        else:
            print(min(s))
    if not q:
        sys.exit()
    if f == 1:
        s.add(x)
    else:
        s.remove(x)
while q:
    q.pop()
    print(-1)