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:
import sys


def input():
    return sys.stdin.readline().rstrip()


def slv():
    n, k = map(int, input().split())
    segment = []
    for i in range(n):
        l, r = map(int, input().split())
        segment.append((l, r, i + 1))
    ans = []
    D = [0]*(210)
    for l, r, idx in segment:
        D[l] += 1
        D[r + 1] -= 1
    for i in range(1, 210):
        D[i] += D[i - 1]
    for R in range(200, 0, -1):
        if D[R] > k:
            rep = D[R] - k
            tmp_seg = list(filter(lambda x:x[0] <= R <= x[1],segment))
            not_used_seg = list(filter(lambda x:not (x[0] <= R <= x[1]),segment))
            tmp_seg.sort(key = lambda x: -x[0])
            for _ in range(rep):
                l,r,idx = tmp_seg.pop()
                ans.append(idx)
                for i in range(l,r + 1):
                    D[i] -= 1
            segment = not_used_seg + tmp_seg    
    print(len(ans))
    print(*ans)
    return


def main():
    t = 1
    for i in range(t):
        slv()
    return


if __name__ == "__main__":
    main()