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 JAVA):

Solution:
'use strict'

const nk = readline().split(' ');
const n = +nk[0], k = +nk[1];

const x = [];
for (let i = 0; i < n; i++) x.push((lr => ({ l: +lr[0], r: +lr[1] }))(readline().split(' ')))

const max = x.reduce((r, i) => r < i.r ? i.r : r, 0)
let y = Array.from({ length: max + 1 }, () => []);
for (let i = 0; i < n; i++) {
    for (let j = x[i].l; j <= x[i].r; j++) {
        y[j].push(i);
    }
}

y = y.filter(i => i.length > k);
const ans = [];

for (let i = 0; i < y.length; i++) {
    while(y[i].length > k) {
        let max = 1, t = 0, line = y[i][t], j = i+1;
        while (j < y.length && t < y[i].length) {
            if (y[j].indexOf(y[i][t]) === -1) { t++; }
            else { j++; line = y[i][t]; }
        }
        ans.push(line);
        y = y.map(yi => yi.filter(yij => yij !== line))
    }
}


write(ans.length + '\n' + ans.map(i => i+1).join(' '));