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 sys
import math
import bisect
from sys import stdin, stdout
from math import gcd, floor, sqrt, log2, ceil
from collections import defaultdict as dd
from bisect import bisect_left as bl, bisect_right as br
from bisect import insort
from collections import Counter
from collections import deque
from heapq import heappush,heappop,heapify
from itertools import permutations,combinations
from itertools import accumulate as ac
mod = int(1e9)+7
mod = 998244353
 
 
ip = lambda : int(stdin.readline())
inp = lambda: map(int,stdin.readline().split())
ips = lambda: stdin.readline().rstrip()
out = lambda x : stdout.write(str(x)+"\n")

#14 = 112


t = 1
for _ in range(t):
    n,k = inp()
    arr = []
    ans = []
    for i in range(n):
        arr.append(list(inp()))
    big,small = -float('inf'),float('inf')
    for i in range(n):
        big = max(max(arr[i]),big)
        small = min(min(arr[i]),small)
    mark = [True]*n
    for i in range(small,big+1):
        while True:
            ch = []
            times = 0
            for pos in range(n):
                if mark[pos]:
                    j = arr[pos]
                    if i>= j[0] and i<= j[1]:
                        times += 1
                        ch.append(j)
            if times>k:
                right = -float('inf')
                for j in ch:
                    if j[1]>right:
                        ele = j
                        right = j[1]
                for j in range(n):
                    if mark[j]:
                        if arr[j] == ele:
                            p = j
                            break
                ans.append(p+1)
                mark[p] = False
            else:
                break
    print(len(ans))
    print(*ans)