#include <bits/stdc++.h>
using namespace std;
const int maxn = 2e5 + 5;
const long long inf = 1e9 + 7;
long long mod = 1e9 + 7;
int n, m;
struct edge {
  int l, r;
  int id;
  edge() {}
  edge(int l, int r) : l(l), r(r) {}
} s[maxn];
bool cmp(edge x, edge y) { return x.r < y.r; }
priority_queue<pair<int, int> > que;
int sum[maxn << 2];
int lz[maxn << 2];
int num[maxn];
inline void pushDown(int l, int r, int x) {
  if (lz[x]) {
    int mid = (l + r) >> 1;
    lz[x << 1] += lz[x];
    lz[x << 1 | 1] += lz[x];
    sum[x << 1] += (mid - l + 1) * lz[x];
    sum[x << 1 | 1] += (r - mid) * lz[x];
    lz[x] = 0;
  }
}
inline void pushUp(int x) { sum[x] = sum[x << 1] + sum[x << 1 | 1]; }
inline void upd(int l, int r, int x, int L, int R) {
  if (l >= L && R >= r) {
    sum[x] += (r - l) + 1;
    lz[x]++;
    return;
  }
  pushDown(l, r, x);
  int mid = (l + r) >> 1;
  if (L <= mid) upd(l, mid, x << 1, L, R);
  if (R > mid) upd(mid + 1, r, x << 1 | 1, L, R);
  pushUp(x);
  return;
}
inline int query(int l, int r, int x, int L, int R) {
  if (l >= L && R >= r) {
    return sum[x];
  }
  pushDown(l, r, x);
  int mid = (l + r) >> 1;
  int ans = 0;
  if (L <= mid) ans += query(l, mid, x << 1, L, R);
  if (R > mid) ans += query(mid + 1, r, x << 1 | 1, L, R);
  return ans;
}
vector<int> rm;
int main() {
  cin >> n >> m;
  for (int i = 1; i <= n; i++) {
    scanf("%d%d", &s[i].l, &s[i].r);
    s[i].id = i;
    num[s[i].l]++;
    num[s[i].r + 1]--;
  }
  for (int i = 1; i <= 2e5; i++) {
    num[i] += num[i - 1];
  }
  sort(s + 1, s + 1 + n, cmp);
  int r = n;
  for (int i = 2e5; i; i--) {
    if (!num[i]) continue;
    int ans = num[i] - query(1, 2e5, 1, i, i);
    while (r) {
      if (s[r].r == i) {
        que.push(make_pair(-s[r].l, s[r].id));
        r--;
      } else {
        break;
      }
    }
    while (ans > m) {
      int l = -que.top().first;
      int id = que.top().second;
      que.pop();
      rm.push_back(id);
      upd(1, 2e5, 1, l, i);
      ans--;
    }
  }
  sort(rm.begin(), rm.end());
  int len = rm.size();
  printf("%d\n", len);
  for (int i = 0; i < len; i++) {
    printf("%d ", rm[i]);
  }
  return 0;
}

### Prompt

Please provide a CPP coded solution to the problem described below:

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;
const int maxn = 2e5 + 5;
const long long inf = 1e9 + 7;
long long mod = 1e9 + 7;
int n, m;
struct edge {
  int l, r;
  int id;
  edge() {}
  edge(int l, int r) : l(l), r(r) {}
} s[maxn];
bool cmp(edge x, edge y) { return x.r < y.r; }
priority_queue<pair<int, int> > que;
int sum[maxn << 2];
int lz[maxn << 2];
int num[maxn];
inline void pushDown(int l, int r, int x) {
  if (lz[x]) {
    int mid = (l + r) >> 1;
    lz[x << 1] += lz[x];
    lz[x << 1 | 1] += lz[x];
    sum[x << 1] += (mid - l + 1) * lz[x];
    sum[x << 1 | 1] += (r - mid) * lz[x];
    lz[x] = 0;
  }
}
inline void pushUp(int x) { sum[x] = sum[x << 1] + sum[x << 1 | 1]; }
inline void upd(int l, int r, int x, int L, int R) {
  if (l >= L && R >= r) {
    sum[x] += (r - l) + 1;
    lz[x]++;
    return;
  }
  pushDown(l, r, x);
  int mid = (l + r) >> 1;
  if (L <= mid) upd(l, mid, x << 1, L, R);
  if (R > mid) upd(mid + 1, r, x << 1 | 1, L, R);
  pushUp(x);
  return;
}
inline int query(int l, int r, int x, int L, int R) {
  if (l >= L && R >= r) {
    return sum[x];
  }
  pushDown(l, r, x);
  int mid = (l + r) >> 1;
  int ans = 0;
  if (L <= mid) ans += query(l, mid, x << 1, L, R);
  if (R > mid) ans += query(mid + 1, r, x << 1 | 1, L, R);
  return ans;
}
vector<int> rm;
int main() {
  cin >> n >> m;
  for (int i = 1; i <= n; i++) {
    scanf("%d%d", &s[i].l, &s[i].r);
    s[i].id = i;
    num[s[i].l]++;
    num[s[i].r + 1]--;
  }
  for (int i = 1; i <= 2e5; i++) {
    num[i] += num[i - 1];
  }
  sort(s + 1, s + 1 + n, cmp);
  int r = n;
  for (int i = 2e5; i; i--) {
    if (!num[i]) continue;
    int ans = num[i] - query(1, 2e5, 1, i, i);
    while (r) {
      if (s[r].r == i) {
        que.push(make_pair(-s[r].l, s[r].id));
        r--;
      } else {
        break;
      }
    }
    while (ans > m) {
      int l = -que.top().first;
      int id = que.top().second;
      que.pop();
      rm.push_back(id);
      upd(1, 2e5, 1, l, i);
      ans--;
    }
  }
  sort(rm.begin(), rm.end());
  int len = rm.size();
  printf("%d\n", len);
  for (int i = 0; i < len; i++) {
    printf("%d ", rm[i]);
  }
  return 0;
}

```