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:
from sys import stdin, stdout
import heapq

class MyHeap(object):
   def __init__(self, initial=None, key=lambda x:x):
       self.key = key
       if initial:
           self._data = [(key(item), item) for item in initial]
           heapq.heapify(self._data)
       else:
           self._data = []

   def push(self, item):
       heapq.heappush(self._data, (self.key(item), item))

   def pop(self):
       return heapq.heappop(self._data)[1]

   def print(self):
       for hd in self._data:
            print(hd)
       print('-------------------------------')

def getremovesegments(list, k):

    res = []
    hp = MyHeap(key=lambda x: -x[1])
    list.sort()

    for item in list:
        hp.push(item)

        cov = 0
        #print(item[0])
        for t in hp._data:
            #print(t)
            if item[0] <= t[1][1]:
                cov += 1
        #print(cov)
        if cov > k:
            p = hp.pop()
            res.append(p[2])
        #print('-----------------')
        #hp.print()

    return res

if __name__ == '__main__':
    nk = list(map(int, stdin.readline().strip().split()))

    n = nk[0]
    k = nk[1]

    seglist = []
    for i in range(n):
        lr = list(map(int, stdin.readline().strip().split()))
        lr.append(i+1)
        seglist.append(lr)

    res = getremovesegments(seglist, k)
    stdout.write(str(len(res)) + '\n')
    stdout.write(' '.join(str(x) for x in res))