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:
from collections import defaultdict, deque
from heapq import heappush, heappop
from math import inf

ri = lambda : map(int, input().split())

def solve():
    n, k = ri()
    A = [0] * 300
    mx = 0
    seg = []
    for i in range(n):
        l, r = ri()
        seg.append((l,r,i))
        A[l] += 1
        A[r+1] -= 1
    seg.sort(key = lambda x: (x[0], x[1]))
    q = deque(seg)
    curr = 0
    ans = []
    for i in range(300):
        curr += A[i]
#        if curr > k:
#            print(i, q)
        use = [] 
        for start, end, j in seg:
            if start <= i <= end:
                use.append((start,end,j))
        use.sort(key = lambda x: x[1])
        while use and curr > k:
            _, end, j = use.pop()
            seg.remove((_, end, j))
            A[end+1] += 1
            ans.append(j+1)
            curr -= 1

    print(len(ans))
    print(*ans)

t = 1
#t = int(input())
while t:
    t -= 1
    solve()