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 math import *

n,k = map(int, input().split())

num = [[] for i in range( 300) ]

segment = [0]

for i in range(1, n+1):
    l, r = map(int, input().split())

    num[l].append(i)
    num[r+1].append(-i)

    segment.append((l, r+1, r-l))

rep = 0
curSegment = []
rem = []

for i in range(300):
    for a in num[i]:
        if a >= 0:
            curSegment.append(a)
        elif (-a) in curSegment:
            curSegment.remove(-a)

    while len(curSegment) > k:
        rep += 1
        plusAdroite = 0
        aVirer = 0
        for j in curSegment:
            if segment[j][1] >= plusAdroite:
                plusAdroite = segment[j][1]
                aVirer = j
        
        curSegment.remove(aVirer)
        rem.append(aVirer)

print(rep)
print(*sorted(rem))