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 heapq
n, k = map(int, input().split())
length = 2 * (10 ** 5)
llist = [[] for x in range(length + 1)]
rlist = [[] for x in range(length + 1)]
flag = [0] * (length + 1)
for i in range(n):
    l, r = map(int, input().split())
    llist[l].append([i + 1, r])
    rlist[r].append([i + 1, l])
heap = []
ans = []
now = 0
for i in range(length):
    i += 1
    for j in llist[i]:
        now += 1
        currents = j[0]
        r = j[1]
        flag[currents] = 1
        heapq.heappush(heap, [-1 * r, currents])
    for j in rlist[i - 1]:
        currents = j[0]
        if flag[currents] == 1:
            now -= 1
            flag[currents] = 0
    while now > k:
        removing = heapq.heappop(heap)
        currents = removing[1]
        if flag[currents] == 1:
            ans.append(currents)
            now -= 1
            flag[currents] = 0
print(len(ans))
print(" ".join(map(str, ans)))