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())
l = [0] * n
r = [0] * n
events = [(0, 0)] * 2 * n
for i in range(n):
  l[i], r[i] = map(int, input().split())
  events[2 * i] = (l[i], 0, i)
  events[2 * i + 1] = (r[i], 1, i)
events.sort()
import heapq as h
s = []
ans = []
for e in events:
  x, t, id = e
  if t == 0:
    h.heappush(s, (-r[id], l[id], id)) 
  else:
    temp = []
    while s:
      x = h.heappop(s)
      if x == (-r[id], l[id], id):
        break
      temp.append(x)
    for x in temp:
      h.heappush(s, x)
  while len(s) > k:
    x = h.heappop(s)
    ans.append(x[2])
print(len(ans))
print(*[x + 1 for x in ans])