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 PYTHON):

Solution:
import os
import sys
from atexit import register
from io import BytesIO
sys.stdin = BytesIO(os.read(0, os.fstat(0).st_size))
sys.stdout = BytesIO()
register(lambda: os.write(1, sys.stdout.getvalue()))
input = lambda: sys.stdin.readline().rstrip('\r\n')
maxn = 200005
import heapq

trees = [0]*maxn

n,k = map(int,input().split(" "))
seg = []
points = [0]*maxn
cand = []
for i in range(n):
    l,r = map(int,input().split(" "))
    seg.append((l,r,i+1))
    points[l]   += 1
    points[r+1] -= 1
st = 0
for i in range(maxn):
    st += points[i]
    if st > k:
        cand.append((i,st-k))

seg.sort(key = lambda x:(x[0],x[1]))
pq = []
j = 0
ans = []
s = 0
it = 0
for i,v in cand:
    while it<=i:
        s += trees[it]
        it += 1
    v -= s
#    v = v-sum(trees,i)
    if v <= 0:
        continue
    while j<n and seg[j][0] <= i:
        heapq.heappush(pq,(-seg[j][1],seg[j][0],seg[j][2]))
        j += 1

    for t in range(v):
        r,l,idx = heapq.heappop(pq)
        ans.append(idx)
        s += 1
        trees[-r+1] -= 1
#        add(trees,l,1)
#        add(trees,-r+1,-1)
print len(ans)
print " ".join(map(str,ans))