Problem: The only difference between easy and hard versions is constraints.

You are given n segments on the coordinate axis OX. Segments can intersect, lie inside each other and even coincide. The i-th segment is [l_i; r_i] (l_i ≤ r_i) and it covers all integer points j such that l_i ≤ j ≤ r_i.

The integer point is called bad if it is covered by strictly more than k segments.

Your task is to remove the minimum number of segments so that there are no bad points at all.

Input

The first line of the input contains two integers n and k (1 ≤ k ≤ n ≤ 200) — the number of segments and the maximum number of segments by which each integer point can be covered.

The next n lines contain segments. The i-th line contains two integers l_i and r_i (1 ≤ l_i ≤ r_i ≤ 200) — the endpoints of the i-th segment.

Output

In the first line print one integer m (0 ≤ m ≤ n) — the minimum number of segments you need to remove so that there are no bad points.

In the second line print m distinct integers p_1, p_2, ..., p_m (1 ≤ p_i ≤ n) — indices of segments you remove in any order. If there are multiple answers, you can print any of them.

Examples

Input


7 2
11 11
9 11
7 8
8 9
7 8
9 11
7 9


Output


3
1 4 7 


Input


5 1
29 30
30 30
29 29
28 30
30 30


Output


3
1 2 4 


Input


6 1
2 3
3 3
2 3
2 2
2 3
2 3


Output


4
1 3 5 6 

Solution (in PYTHON3):

Solution:
import functools
from math import inf

class event:
	def __init__(self, x, type, index):
		self.x = x
		self.type = type
		self.i = index

def custom_sort(a, b):
	# if a.i == b.i:
	# 	if a.type == "s" and b.type == "e":
	# 		return -1
	# 	if a.type == "e" and b.type == "s":
	# 		return 1
	if a.x < b.x:
		return - 1
	if a.x > b.x:
		return 1
	if a.type == "e" and b.type == "s":
		return 1
	if a.type == "s" and b.type == "e":
		return -1
	return 0

if __name__ == "__main__":
	line = input().split(" ")
	n, k = int(line[0]), int(line[1])

	events = []
	original_events = []
	for i in range(n):
		line = input().split(" ")
		s = int(line[0])
		e = int(line[1])

		events.append(event(s, "s", i))
		events.append(event(e, "e", i))
		original_events.append([s, e])

	events.sort(key=functools.cmp_to_key(custom_sort))

	active = {}
	ans = []

	cnt = 0
	for curr in events:
		# print(curr.x, curr.type, curr.i, cnt)
		if curr.type == "s":
			cnt += 1
			active[curr.i] = 1

			if cnt > k:
				# print("over:", curr.i, cnt)
				to_remove = 0
				rightmost = -inf
				for i in active.keys():
					if original_events[i][1] > rightmost:
						rightmost = original_events[i][1]
						to_remove = i
				ans.append(str(to_remove + 1))
				del active[to_remove]
				cnt -= 1

		else:
			if curr.i in active.keys():
				cnt -= 1
				del active[curr.i]

	print(len(ans))
	print(" ".join(ans))