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 functools import cmp_to_key

n, k = list (map (int, input ().split ()))
rg = [] 

f = [0 for i in range (202)]

for i in range (n) :
    l, r = list (map (int, input ().split ()))
    rg.append ((l, r, i + 1))
    f[l] += 1
    f[r + 1] -= 1

def my_cmp (x, y) :
    if (x[1] == y[1]) :
        return x[0] - y[0]
    return y[1] - x[1]

rg.sort(key=cmp_to_key(my_cmp))
# rg = sorted (rg, key=lambda x : x[1])
rg.insert (0, (0, 0))

rem = []
ha = {}
for i in range (1, 202):
    f[i] += f[i - 1]
    if (f[i] > k) :
        rem.append (i)
        ha[i] = f[i] - k

ans = []

while (len (rem)) :
    i = 1
    while (rg[i][0] > rem[0]):
        i += 1
    # print ("i : ", i)
    # print (rg)
    # print (rem)

    ans.append (rg[i][2])
    for j in range (len (rem)) :
        if (rem[j] >= rg[i][0] and rem[j] <= rg[i][1]) :
            ha[rem[j]] -= 1
            if (ha[rem[j]] == 0) :
                rem[j] = 0
        else :
            break
    rem = [k for k in rem if k != 0]
    rg.pop (i)
    #print ("rem : ", rem)

print (len (ans))
ans = sorted (ans)
print (' '.join (map (str, ans)))