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 C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include "iostream"
#include "climits"
#include "list"
#include "queue"
#include "stack"
#include "set"
#include "functional"
#include "algorithm"
#include "string"
#include "map"
#include "unordered_map"
#include "unordered_set"
#include "iomanip"
#include "cmath"
#include "random"
#include "bitset"
#include "cstdio"
#include "numeric"
#include "cassert"

using namespace std;

const long long int MOD = 1000000007;
//const int MOD = 1000000007;
//const int MOD = 998244353;
//const long long int MOD = 998244353;

long long int N, M, K, H, W, L, R;
//int N, M, K, H, W, L, R;

class Segment_Tree {
	vector<long long int>v;
	vector<long long int>add;
	vector<long long int>modi;
	vector<int>l;
	vector<int>r;
	int num;
	long long int ret;
	bool is_min;
	void Left(int place) {
		if (place >= v.size() / 2) {
			l[place] = place - v.size() / 2;
			return;
		}
		Left(place * 2);
		Left(place * 2 + 1);
		l[place] = l[place * 2];
		return;
	}
	void Right(int place) {
		if (place >= v.size() / 2) {
			r[place] = place - v.size() / 2;
			return;
		}
		Right(place * 2);
		Right(place * 2 + 1);
		r[place] = r[place * 2 + 1];
		return;
	}
	long long int Update(int place) {
		if (place >= v.size() / 2) {
			return v[place];
		}
		if (is_min) {
			v[place] = min(Update(place * 2), Update(place * 2 + 1));
			return v[place];
		}
		v[place] = max(Update(place * 2), Update(place * 2 + 1));
		return v[place];
	}
	void Modify(int a, int b, long long int num, int place) {
		if (l[place] >= a && r[place] <= b) {
			modi[place] = num;
			v[place] = num;
			add[place] = 0;
			return;
		}
		if (l[place] > b || r[place] < a)return;
		if (modi[place] != LLONG_MAX) {
			modi[place * 2] = modi[place * 2 + 1] = modi[place];
			v[place * 2] = v[place * 2 + 1] = modi[place];
			add[place * 2] = add[place * 2 + 1] = 0;
			modi[place] = LLONG_MAX;
		}
		add[place * 2] += add[place];
		add[place * 2 + 1] += add[place];
		add[place] = 0;
		Modify(a, b, num, place * 2);
		Modify(a, b, num, place * 2 + 1);
		if (is_min)v[place] = min(v[place * 2] + add[place * 2], v[place * 2 + 1] + add[place * 2 + 1]);
		else v[place] = max(v[place * 2] + add[place * 2], v[place * 2 + 1] + add[place * 2 + 1]);
		return;
	}
	void Add(int a, int b, long long int num, int place) {
		if (l[place] >= a && r[place] <= b) {
			if (modi[place] != LLONG_MAX) {
				if (place * 2 < v.size()) {
					modi[place * 2] = modi[place * 2 + 1] = modi[place];
					v[place * 2] = v[place * 2 + 1] = modi[place];
					add[place * 2] = add[place * 2 + 1] = 0;
				}
				modi[place] = LLONG_MAX;
			}
			add[place] += num;
			return;
		}
		if (l[place] > b || r[place] < a)return;
		if (modi[place] != LLONG_MAX) {
			modi[place * 2] = modi[place * 2 + 1] = modi[place];
			v[place * 2] = v[place * 2 + 1] = modi[place];
			add[place * 2] = add[place * 2 + 1] = 0;
			modi[place] = LLONG_MAX;
		}
		add[place * 2] += add[place];
		add[place * 2 + 1] += add[place];
		add[place] = 0;
		Add(a, b, num, place * 2);
		Add(a, b, num, place * 2 + 1);
		if (is_min)v[place] = min(v[place * 2] + add[place * 2], v[place * 2 + 1] + add[place * 2 + 1]);
		else v[place] = max(v[place * 2] + add[place * 2], v[place * 2 + 1] + add[place * 2 + 1]);
		return;
	}
	void RMQ(int a, int b, int place) {
		if (l[place] >= a && r[place] <= b) {
			if (modi[place] != LLONG_MAX) {
				if (place * 2 < v.size()) {
					modi[place * 2] = modi[place * 2 + 1] = modi[place];
					v[place * 2] = v[place * 2 + 1] = modi[place];
					add[place * 2] = add[place * 2 + 1] = 0;
				}
				modi[place] = LLONG_MAX;
			}
			if (is_min)ret = min(ret, v[place] + add[place]);
			else ret = max(ret, v[place] + add[place]);
			return;
		}
		if (l[place]>b || r[place]<a) return;
		if (modi[place] != LLONG_MAX) {
			modi[place * 2] = modi[place * 2 + 1] = modi[place];
			v[place * 2] = v[place * 2 + 1] = modi[place];
			add[place * 2] = add[place * 2 + 1] = 0;
			modi[place] = LLONG_MAX;
		}
		add[place * 2] += add[place];
		add[place * 2 + 1] += add[place];
		add[place] = 0;
		RMQ(a, b, place * 2);
		RMQ(a, b, place * 2 + 1);
		if (is_min)v[place] = min(v[place * 2] + add[place * 2], v[place * 2 + 1] + add[place * 2 + 1]);
		else v[place] = max(v[place * 2] + add[place * 2], v[place * 2 + 1] + add[place * 2 + 1]);
		return;
	}
public:
	Segment_Tree(int n, bool min) {
		n++;
		num = 1;
		while (num < n * 2) {
			num *= 2;
		}
		l.resize(num);
		r.resize(num);
		is_min = min;
		if (min) {
			v.resize(num, MOD*MOD);
		}
		else v.resize(num, -MOD * MOD);
		add.resize(num, 0);
		modi.resize(num, MOD*MOD);
		Left(1);
		Right(1);
	}
	void Insert(int place, long long int num, bool update) {
		place += v.size() / 2;
		v[place] = num;
		if (!update)return;
		place /= 2;
		while (place) {
			if (is_min)v[place] = min(v[place * 2], v[place * 2 + 1]);
			else v[place] = max(v[place * 2], v[place * 2 + 1]);
			place /= 2;
		}
	}
	void Modify(int a, int b, long long int num) {
		Modify(a, b, num, 1);
	}
	void Add(int a, int b, long long int num) {
		Add(a, b, num, 1);
	}
	void Init() {
		Update(1);
	}
	long long int RMQ(int a, int b) {
		if (is_min)ret = LLONG_MAX;
		else ret = LLONG_MIN;
		RMQ(a, b, 1);
		return ret;
	}
};

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);

	cin >> N >> K;
	Segment_Tree sg(K, true);
	vector<pair<long long int, pair<long long int, long long int>>>v(N);
	for (int i = 0; i < N; i++) {
		cin >> L >> R >> M;
		v[i] = { M,{ L - M,R - M - 1 } };
	}
	sort(v.begin(), v.end());
	reverse(v.begin(), v.end());
	vector<int>w(K);
	for (auto &i : w)cin >> i;
	for (int i = 0; i < N; i++) {
		cerr << v[i].second.first << " " << v[i].second.second << " " << v[i].first << endl;
		L = -1, R = N - 1;
		while (R - L > 1) {
			int mid = (R + L) / 2;
			if (w[mid] < v[i].second.first)L = mid;
			else R = mid;
		}
		int st = R;
		L = 0, R = N;
		while (R - L > 1) {
			int mid = (R + L) / 2;
			if (w[mid] > v[i].second.second)R = mid;
			else L = mid;
		}
		int ed = L;
		cerr << st << " " << ed << endl;
		if (ed >= st)sg.Modify(st, ed, v[i].first);
	}
	for (int i = 0; i < K; i++) {
		long long int box = sg.RMQ(i, i);
		if (box == MOD * MOD)cout << -1 << endl;
		else cout << box << endl;
	}
}