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:
n, k = map(int, input().split())
segs = []

points = {}

removed = [False for i in range(n)]

for s in range(n):
    l, r = map(int, input().split())

    for i in range(l, r+1):
        if not points.get(i):
            points[i] = []
        points[i].append([r, s])

    segs.append([l, r])

for i in points:
    points[i].sort(reverse=True)

#print(points)

r = 0; res = []
for i in sorted(points.keys()):
    #print(i, points[i])
    needed = len(points[i])
    c = []
    for j in range(len(points[i])):
        if removed[points[i][j][1]]:
            needed -= 1
        else:
            c.append(points[i][j])
    if needed <= k:
        continue
    p = 0
    for t in range(needed - k):
        if not removed[c[t][1]]:
            r += 1
            res.append(c[t][1]+1)
            removed[c[t][1]] = True

print(r)
print(*res)