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:

heap = [[1e18, -1]]

def pop():
    global heap
    heap[1] = heap[-1]
    heap.pop()
    i = 1
    while 2 * i < len(heap):
        if 2 * i + 1 < len(heap) and heap[2 * i + 1] > heap[2 * i] and heap[2 * i + 1] > heap[i]:
            heap[i], heap[2 * i + 1] = heap[2 * i + 1], heap[i]
            i = 2 * i + 1
        elif heap[2 * i] > heap[i]:
            heap[i], heap[2 * i] = heap[2 * i], heap[i]
            i = 2 * i
        else:
            break

def push(val):
    global heap
    heap.append(val)
    i = len(heap) - 1
    while (heap[i // 2] < heap[i]):
        heap[i // 2], heap[i] = heap[i], heap[i // 2]
        i //= 2

def top():
    return heap[1]


NMAX = 100010

start_at = [[] for i in range(NMAX)]
ans = []
sp = [0 for i in range(NMAX)]

n, k = [int(x) for x in input().split()]

for i in range(n):
    st, dr = [int(x) for x in input().split()]
    start_at[st].append([dr, i + 1])


for poz in range(1, NMAX):
    # sunt la pozitia poz
    for i in start_at[poz]:
        push(i)
        sp[poz] += 1
        sp[i[0] + 1] -= 1
    
    sp[poz] += sp[poz - 1]

    while (sp[poz] > k):
        until, nr = top()
        pop()
        ans.append(nr)
        sp[poz] -= 1
        sp[until + 1] += 1

print(len(ans))
print(" ".join([str(i) for i in ans]))