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 = list(map(int, input().split()))
ar = []
for i in range(n):
    lolk = list(map(int, input().split()))
    ar.append([lolk[0], 0, lolk[1], i + 1])
    ar.append([lolk[1], 1, lolk[0], i + 1])
ar.sort()
queue = []
kek = 0
ans = 0
ans1 = []
ksjdfks = set()
for time, type, end, lol in ar:
    if lol not in ksjdfks:
        if type == 0:
            kek += 1
            queue.append([time, type, end, lol])
            queue.sort(key=lambda x: x[2])
            if kek > k:
                ans += 1
                ans1.append(queue[-1][3])
                ksjdfks.add(queue[-1][3])
                queue.pop()
                kek -= 1
        else:
            kek -= 1
            queue.pop(queue.index([end, 0, time, lol]))
print(ans)
print(*ans1)