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().strip().split())
seg = []
for i in range(n):
    a,b = map(int,input().strip().split())
    seg.append((a,b,i))

seg.sort()
cur_seg = set()
cur_num = 0
cur_index = 0
ans = set()
for i in range(1,201):
    to_remove = []
    for e_seg in cur_seg:
        if i > e_seg[1]:
            to_remove.append(e_seg)
    for re in to_remove:
        cur_seg.remove(re)
    
    
    while cur_index < n:
        if seg[cur_index][0] <= i and seg[cur_index][1] >= i:
            cur_seg.add(seg[cur_index])
            cur_index += 1
        else:
            break
    cur_num = len(cur_seg)
    #print(cur_seg)
    while cur_num > k:
        right_most = 0
        right_index = 0
        for e_seg in cur_seg:
            if e_seg[1] > right_most:
                right_most = e_seg[1]
                right_index = e_seg
        ans.add(right_index[2])
        cur_seg.remove(right_index)
        cur_num -= 1
print(len(ans))
print(' '.join(str(i + 1) for i in ans))