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:
def ass(x):
    s = []
    for i in open:
        s.append((G[i][1], i))
    s.sort(reverse=True)
    m = set()
    for i in range(x):
        m.add(s[i][1])
        R[s[i][0]].discard(s[i][1])
    return m

import sys
input = sys.stdin.readline

(n, k) = map(int, input().split())
L = dict()
R = dict()
Lx = set()
Rx = set()
G = []
for i in range(n):
    (a, b) = map(int, input().split())
    G.append((a, b))
    if a not in L:
        L[a] = set()
    if b not in R:
        R[b] = set()
    L[a].add(i)
    R[b].add(i)
    Lx.add(a)
    Rx.add(b)
Lx = list(Lx)
Rx = list(Rx)
Lx.sort()
Rx.sort()
#G.sort(key=lambda x: (x[0], -x[1]))
l = 0
r = 0
open = set()
ans = set()
while l < len(Lx) and r < len(Rx):
    open |= L[Lx[l]]
    if len(open) > k:
        dx = len(open) - k
        delet = ass(dx)
        ans |= delet
        open -= delet
    l += 1
    if l == len(Lx):
        break
    while Rx[r] < Lx[l]:
        open -= R[Rx[r]]
        r += 1
ans = list(ans)
ans.sort()
for i in range(len(ans)):
    ans[i] += 1
print(len(ans))
print(*ans)