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 functools
from math import inf
import heapq

class event:
    def __init__(self, x, type, index):
        self.x = x
        self.type = type
        self.i = index

def custom_sort(a, b):
    # if a.i == b.i:
    # 	if a.type == "s" and b.type == "e":
    # 		return -1
    # 	if a.type == "e" and b.type == "s":
    # 		return 1
    if a.x < b.x:
        return - 1
    if a.x > b.x:
        return 1
    if a.type == "e" and b.type == "s":
        return 1
    if a.type == "s" and b.type == "e":
        return -1
    return 0

if __name__ == "__main__":
    line = input().split(" ")
    n, k = int(line[0]), int(line[1])
        
    events = []
    original_events = []
    for i in range(n):
        line = input().split(" ")
        s = int(line[0])
        e = int(line[1])
                
        events.append(event(s, "s", i))
        events.append(event(e, "e", i))
        original_events.append([s, e])
    
    events.sort(key=functools.cmp_to_key(custom_sort))
        
    active = []
    ans = []
        
    cnt = 0
    for curr in events:
        # print(curr.x, curr.type, curr.i, cnt)
        if curr.type == "s":
            cnt += 1
            heapq.heappush(active, (-original_events[curr.i][1], curr.i))
                        
            if cnt > k:
                # print("over:", curr.i, cnt)
                to_remove = heapq.heappop(active)
                ans.append(str(to_remove[1] + 1))
                cnt -= 1
            
        else:
            for j in range(len(active)):
                if active[j][1] == curr.i:
                    cnt -= 1
                    active.pop(j)
                    break
        
    print(len(ans))
    print(" ".join(ans))