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 CPP):

Solution:
#include <bits/stdc++.h>
inline int reads(char s[]) {
  char c;
  int len = 0;
  while ((c = getchar()) != ' ' && c != '\n') s[len++] = c;
  return len;
}
template <typename T>
inline void write(T x) {
  char F[60];
  if (x < 0) putchar('-'), x = -x;
  F[0] = x % 10 + '0';
  x /= 10;
  int cnt = 1;
  while (x) {
    F[cnt++] = x % 10 + '0';
    x /= 10;
  }
  while (cnt) putchar(F[--cnt]);
  putchar(10);
}
template <typename T>
inline bool read(T &ret) {
  char c;
  ret = 0;
  T sgn = 1;
  do {
    c = getchar();
    if (c == EOF) return false;
  } while ((c < '0' || c > '9') && c != '-');
  if (c == '-')
    sgn = -1;
  else
    ret = c - '0';
  while ((c = getchar()) >= '0' && c <= '9') ret = ret * 10 + (c - '0');
  ret *= sgn;
  return true;
}
template <typename T>
inline void _max(T &a, const T b) {
  if (a < b) a = b;
}
template <typename T>
inline void _min(T &a, const T b) {
  if (a > b) a = b;
}
template <typename T>
inline void _add(T &a, const T b, const T MOD) {
  a = (a + b) % MOD;
}
template <typename T>
inline T _pow(T a, T b, const T MOD) {
  T ans = 1;
  while (b) {
    if (b & 1) ans = ans * a % MOD;
    a = a * a % MOD;
    b >>= 1;
  }
  return ans;
}
using namespace std;
const int N = 200010;
struct seg {
  int l, r, id;
  bool operator<(const seg &rhs) const {
    if (l == rhs.l)
      return r < rhs.r;
    else
      return l < rhs.l;
  }
  seg() {}
  seg(int a, int b, int c) : l(a), r(b), id(c) {}
} s[N];
struct Node {
  int p, id;
  bool operator<(const Node &rhs) const { return p < rhs.p; }
};
multiset<Node> q;
int main() {
  int n, k;
  cin >> n >> k;
  for (int i = 0; i < n; i++) s[i].id = i + 1, cin >> s[i].l >> s[i].r;
  sort(s, s + n);
  int l = 0;
  int ans = 0;
  vector<int> v;
  v.clear();
  for (int i = 1; i < N; i++) {
    while (q.size() != 0 && (*q.begin()).p < i) q.erase(q.begin());
    while (l < n && s[l].l == i) q.insert((Node){s[l].r, s[l].id}), l++;
    while (q.size() > k) {
      Node x = *q.rbegin();
      auto it = q.end();
      it--;
      q.erase(it);
      ans++;
      v.push_back(x.id);
    }
  }
  cout << ans << "\n";
  for (auto x : v) cout << x << " ";
  cout << "\n";
  return 0;
}