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:



def main():
    line = input().split()
    n,k = line
    n = int(n)
    k = int(k)
    arr = []
    covered = [0] * 202

    for i in range(n):
        x, y = input().split()
        x = int(x)
        y = int(y)
        arr.append([x,y])
        covered[x] += 1
        covered[y + 1] -= 1

    # test = []
    # for i in range(10):
    #     test.append(10)

    # for i in range(10):
    #     print(test[i])
    #     while(test[i] > k):
    #         for
    #     print(test[i], '\n')


    # return
    for i in range(201):
        if(i - 1 >= 0):
            covered[i] += covered[i - 1]

    taken = [0] * n
    # print(covered)
    for i in range(201):
        # print('before covered[%d] = %d' % (i, covered[i]))
        while(covered[i] > k):
            pos = -1
            best = 0
            for j in range(n):
                x, y = arr[j]
                if(x <= i and i <= y and taken[j]==0 and y > best):
                    best = y
                    pos = j

            # print('best = ', best)
            assert pos != -1
            assert best != 0
            assert taken[pos] == 0
            taken[pos] = 1
            # print(arr[pos])
            x,y = arr[pos]
            for q in range(x, y + 1):
                covered[q] -= 1

        # print('after covered[%d] = %d' % (i, covered[i]))

    # print(covered)
    ans = 0
    for i in taken:
        ans += i

    print(ans)
    if(ans != 0):
        for idx, i in enumerate(taken):
            if(i):
                print(idx + 1, end = " ")

        print()


main()