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:
n, k = map(int,input().split())
N = 2 * 10 ** 5 + 1
pre = [0] * (N+1)
seg = []
for i in range(n):
	x, y = map(int,input().split())
	x -= 1
	y -= 1
	seg.append([y,-x, i+1])
	pre[x] += 1
	pre[y + 1] -= 1
seg.sort()
seg.reverse()
seg = [[-seg[i][1], seg[i][0], seg[i][2]] for i in range(len(seg))]
cov = [0] * (N+1)
cov[0] = pre[0]
for i in range(1, N):
	cov[i] = cov[i - 1] + pre[i]
wyn = 0
ziomy = []
for i in range(N):
	p = 0
	while cov[i] > k:
		maksi = -1
		opti = -1
		mini = 100000000000
		for d in range(len(seg)):
			if seg[d][1] > maksi and seg[d][0] <= i:
				mini = 100000000000000
				maksi = seg[d][1]
				opti = d
			elif seg[d][1] == maksi and seg[d][0] < mini and seg[d][0] <= i:
				mini = seg[d][0]
				opti = d
		pt = seg[opti][1]
		ziomy.append(seg[opti][2])
		pre[pt + 1] += 1
		pre[i] -= 1
		cov[i] -= 1
		p += 1
		seg.pop(opti)
	cov[i+1] = cov[i] + pre[i + 1]
	wyn += p
print(wyn)
print(*ziomy)