#include <bits/stdc++.h>
using namespace std;
using vi = vector<long long>;
const long long inf = 1e18;
const long long mod = 1e9 + 7;
unsigned long long power(long long x, unsigned long long y, long long p) {
  long long res = 1;
  x = x % p;
  while (y > 0) {
    if (y & 1) res = (res * x) % p;
    y = y >> 1;
    x = (x * x) % p;
  }
  return res;
}
bool isPrime(long long n) {
  if (n <= 1) return false;
  if (n <= 3) return true;
  if (n % 2 == 0 || n % 3 == 0) return false;
  for (long long i = 5; i * i <= n; i = i + 6)
    if (n % i == 0 || n % (i + 2) == 0) return false;
  return true;
}
bool sortbysec(const pair<long long, pair<long long, long long> > &a,
               const pair<long long, pair<long long, long long> > &b) {
  return (b.second.first - b.first < a.second.first - a.first);
}
const long long maxn = 2e5 + 5;
long long t[4 * maxn];
long long lazy[4 * maxn];
void push(long long v) {
  t[v * 2] += lazy[v];
  lazy[v * 2] += lazy[v];
  t[v * 2 + 1] += lazy[v];
  lazy[v * 2 + 1] += lazy[v];
  lazy[v] = 0;
}
void update(long long v, long long tl, long long tr, long long l, long long r,
            long long addend) {
  if (l > r) return;
  if (l == tl && tr == r) {
    t[v] += addend;
    lazy[v] += addend;
  } else {
    push(v);
    long long tm = (tl + tr) / 2;
    update(v * 2, tl, tm, l, min(r, tm), addend);
    update(v * 2 + 1, tm + 1, tr, max(l, tm + 1), r, addend);
    t[v] = max(t[v * 2], t[v * 2 + 1]);
  }
}
long long query(long long v, long long tl, long long tr, long long l,
                long long r) {
  if (l > r) return -inf;
  if (l <= tl && tr <= r) return t[v];
  push(v);
  long long tm = (tl + tr) / 2;
  return max(query(v * 2, tl, tm, l, min(r, tm)),
             query(v * 2 + 1, tm + 1, tr, max(l, tm + 1), r));
}
signed main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  ;
  long long n, k;
  cin >> n >> k;
  map<long long, vector<long long> > mm;
  map<long long, vector<long long> > mm1;
  pair<long long, long long> p[n];
  for (long long i = 0; i < n; i++) {
    cin >> p[i].first >> p[i].second;
    mm[p[i].first].push_back(i);
    mm1[p[i].second].push_back(i);
  }
  multiset<pair<long long, long long> > s;
  vector<long long> ans;
  for (long long i = 1; i <= 200000; i++) {
    for (auto j : mm[i]) {
      s.insert({p[j].second, j});
    }
    while (s.size() > k) {
      auto j = s.end();
      j--;
      ans.push_back(j->second);
      s.erase(j);
    }
    for (auto j : mm1[i]) {
      s.erase({p[j].second, j});
    }
  }
  cout << ans.size() << "\n";
  for (auto i : ans) cout << i + 1 << " ";
}

### Prompt

Create a solution in CPP for the following 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 

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
using vi = vector<long long>;
const long long inf = 1e18;
const long long mod = 1e9 + 7;
unsigned long long power(long long x, unsigned long long y, long long p) {
  long long res = 1;
  x = x % p;
  while (y > 0) {
    if (y & 1) res = (res * x) % p;
    y = y >> 1;
    x = (x * x) % p;
  }
  return res;
}
bool isPrime(long long n) {
  if (n <= 1) return false;
  if (n <= 3) return true;
  if (n % 2 == 0 || n % 3 == 0) return false;
  for (long long i = 5; i * i <= n; i = i + 6)
    if (n % i == 0 || n % (i + 2) == 0) return false;
  return true;
}
bool sortbysec(const pair<long long, pair<long long, long long> > &a,
               const pair<long long, pair<long long, long long> > &b) {
  return (b.second.first - b.first < a.second.first - a.first);
}
const long long maxn = 2e5 + 5;
long long t[4 * maxn];
long long lazy[4 * maxn];
void push(long long v) {
  t[v * 2] += lazy[v];
  lazy[v * 2] += lazy[v];
  t[v * 2 + 1] += lazy[v];
  lazy[v * 2 + 1] += lazy[v];
  lazy[v] = 0;
}
void update(long long v, long long tl, long long tr, long long l, long long r,
            long long addend) {
  if (l > r) return;
  if (l == tl && tr == r) {
    t[v] += addend;
    lazy[v] += addend;
  } else {
    push(v);
    long long tm = (tl + tr) / 2;
    update(v * 2, tl, tm, l, min(r, tm), addend);
    update(v * 2 + 1, tm + 1, tr, max(l, tm + 1), r, addend);
    t[v] = max(t[v * 2], t[v * 2 + 1]);
  }
}
long long query(long long v, long long tl, long long tr, long long l,
                long long r) {
  if (l > r) return -inf;
  if (l <= tl && tr <= r) return t[v];
  push(v);
  long long tm = (tl + tr) / 2;
  return max(query(v * 2, tl, tm, l, min(r, tm)),
             query(v * 2 + 1, tm + 1, tr, max(l, tm + 1), r));
}
signed main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  ;
  long long n, k;
  cin >> n >> k;
  map<long long, vector<long long> > mm;
  map<long long, vector<long long> > mm1;
  pair<long long, long long> p[n];
  for (long long i = 0; i < n; i++) {
    cin >> p[i].first >> p[i].second;
    mm[p[i].first].push_back(i);
    mm1[p[i].second].push_back(i);
  }
  multiset<pair<long long, long long> > s;
  vector<long long> ans;
  for (long long i = 1; i <= 200000; i++) {
    for (auto j : mm[i]) {
      s.insert({p[j].second, j});
    }
    while (s.size() > k) {
      auto j = s.end();
      j--;
      ans.push_back(j->second);
      s.erase(j);
    }
    for (auto j : mm1[i]) {
      s.erase({p[j].second, j});
    }
  }
  cout << ans.size() << "\n";
  for (auto i : ans) cout << i + 1 << " ";
}

```