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 PYTHON):

Solution:
from heapq import *
input = __import__("sys").stdin.readline
n, k = map(int, input().split())
seg = []
events = []
remove = __import__("collections").defaultdict(int)
for _ in xrange(n):
	l, r = map(int, input().split())
	seg.append((l, r))
	events.append((l, True, r))
	events.append((r + 1, False, None))
events.sort(reverse=True)
cover = 0
heap = []  # (-end, start)
rem = 0
post = __import__("collections").defaultdict(int)
while events:
	ind, add, release = events.pop()
	if add:
		cover += 1
		heappush(heap, (-release, ind))
	elif post[ind]:
		post[ind] -= 1
	else:
		cover -= 1
	while events and events[-1][0] == ind:
		ind, add, release = events.pop()
		if add:
			cover += 1
			heappush(heap, (-release, ind))
		elif post[ind]:
			post[ind] -= 1
		else:
			cover -= 1
	while cover > k:
		end, start = heappop(heap)
		end = -end
		post[end + 1] += 1
		remove[(start, end)] += 1
		rem += 1
		cover -= 1
print(rem)
for i in xrange(len(seg)):
	if remove[seg[i]]:
		print(i + 1),
		remove[seg[i]] -= 1
print