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:
# -*- coding: utf-8 -*-

import sys

line_count = 0
segments = []
for line in sys.stdin.readlines():
    inputs = line.split()
    if line_count == 0:
        n = int(inputs[0])
        k = int(inputs[1])
    else:
        l = int(inputs[0])
        r = int(inputs[1])
        segments.append((l, r))
    if line_count == n:
        break
    line_count += 1

removed = [False for i in range(n)]
remove_count = 0
removed_list = []
for i in range(1, 201):
    max_i = 0
    covering = []
    for j in range(n):
        if removed[j]:
            continue
        l, r = segments[j]
        if l <= i and i <= r:
            covering.append((r, j))
    to_remove = len(covering) - k
    if to_remove > 0:
        covering.sort()
        for _ in range(to_remove):
            _, j = covering.pop()
#            print(i, j, segments[j])
            removed[j] = True
            removed_list.append(j)

print(len(removed_list))
for j in removed_list:
    print(j + 1, end = " ")