Problem: There's a famous museum in the city where Kleofáš lives. In the museum, n exhibits (numbered 1 through n) had been displayed for a long time; the i-th of those exhibits has value vi and mass wi. 

Then, the museum was bought by a large financial group and started to vary the exhibits. At about the same time, Kleofáš... gained interest in the museum, so to say.

You should process q events of three types:

  * type 1 — the museum displays an exhibit with value v and mass w; the exhibit displayed in the i-th event of this type is numbered n + i (see sample explanation for more details)
  * type 2 — the museum removes the exhibit with number x and stores it safely in its vault
  * type 3 — Kleofáš visits the museum and wonders (for no important reason at all, of course): if there was a robbery and exhibits with total mass at most m were stolen, what would their maximum possible total value be?



For each event of type 3, let s(m) be the maximum possible total value of stolen exhibits with total mass  ≤ m.

Formally, let D be the set of numbers of all exhibits that are currently displayed (so initially D = {1, ..., n}). Let P(D) be the set of all subsets of D and let 

<image>

Then, s(m) is defined as 

<image>

Compute s(m) for each <image>. Note that the output follows a special format.

Input

The first line of the input contains two space-separated integers n and k (1 ≤ n ≤ 5000, 1 ≤ k ≤ 1000) — the initial number of exhibits in the museum and the maximum interesting mass of stolen exhibits. 

Then, n lines follow. The i-th of them contains two space-separated positive integers vi and wi (1 ≤ vi ≤ 1 000 000, 1 ≤ wi ≤ 1000) — the value and mass of the i-th exhibit.

The next line contains a single integer q (1 ≤ q ≤ 30 000) — the number of events.

Each of the next q lines contains the description of one event in the following format:

  * 1 v w — an event of type 1, a new exhibit with value v and mass w has been added (1 ≤ v ≤ 1 000 000, 1 ≤ w ≤ 1000)
  * 2 x — an event of type 2, the exhibit with number x has been removed; it's guaranteed that the removed exhibit had been displayed at that time
  * 3 — an event of type 3, Kleofáš visits the museum and asks his question



There will be at most 10 000 events of type 1 and at least one event of type 3.

Output

As the number of values s(m) can get large, output the answers to events of type 3 in a special format.

For each event of type 3, consider the values s(m) computed for the question that Kleofáš asked in this event; print one line containing a single number 

<image>

where p = 107 + 19 and q = 109 + 7.

Print the answers to events of type 3 in the order in which they appear in the input.

Examples

Input

3 10
30 4
60 6
5 1
9
3
1 42 5
1 20 3
3
2 2
2 4
3
1 40 6
3


Output

556674384
168191145
947033915
181541912


Input

3 1000
100 42
100 47
400 15
4
2 2
2 1
2 3
3


Output

0

Note

In the first sample, the numbers of displayed exhibits and values s(1), ..., s(10) for individual events of type 3 are, in order: 

<image> <image> <image> <image>

The values of individual exhibits are v1 = 30, v2 = 60, v3 = 5, v4 = 42, v5 = 20, v6 = 40 and their masses are w1 = 4, w2 = 6, w3 = 1, w4 = 5, w5 = 3, w6 = 6.

In the second sample, the only question is asked after removing all exhibits, so s(m) = 0 for any m.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
long long int powm(long long int a, int b, int n) {
  long long int rm = 1;
  while (b) {
    if (b % 2) {
      rm = (rm * a) % n;
    }
    a = (a * a) % n;
    b /= 2;
  }
  return rm;
}
vector<int> I[4 * 30009];
int gdp[1010], k, Q, tq = 0, uid, second[15100], E[15100], v[15100], w[15100],
                     seg[200][1001] = {0}, id[30009], cover[15100] = {0},
                     tmp[15100] = {0}, otype, p = 10000019, q = 1000000007,
                     x[30001], ansf[30009][1001];
long long int pw[1010];
void geti(int n, int un) {
  gdp[0] = 0;
  for (int i = 1; i <= k; ++i) gdp[i] = seg[un][i];
  for (int i = 0; i < I[n].size(); ++i) {
    for (int j = k; j >= w[I[n][i]]; j--)
      gdp[j] = max(gdp[j], gdp[j - w[I[n][i]]] + v[I[n][i]]);
  }
}
void update(int n, int it, int f, int q1, int q2, int Value) {
  if (q2 < id[it] || q1 > id[f]) return;
  if (q1 < id[it] && id[f] < q2) {
    I[n].push_back(Value);
    return;
  }
  int m = (it + f) / 2;
  if (q2 <= id[m])
    update(n * 2, it, m, q1, q2, Value);
  else if (q1 > id[m])
    update(n * 2 + 1, m + 1, f, q1, q2, Value);
  else {
    update(n * 2, it, m, q1, q2, Value);
    update(n * 2 + 1, m + 1, f, q1, q2, Value);
  }
}
void insert(int n, int it, int f, int depth) {
  geti(n, depth - 1);
  for (int i = 1; i <= k; ++i) seg[depth][i] = gdp[i];
  if (it != f) {
    int m = (it + f) / 2;
    insert(n * 2, it, m, depth + 1);
    insert(n * 2 + 1, m + 1, f, depth + 1);
  } else {
    for (int i = int(1); i <= (int)k; i++) ansf[f][i] = seg[depth][i];
  }
}
int main() {
  int n;
  cin >> n >> k;
  for (int i = int(1); i <= (int)n; i++) {
    scanf("%d", &v[i]);
    ;
    scanf("%d", &w[i]);
    ;
  }
  uid = n;
  cin >> Q;
  for (int i = int(1); i <= (int)n; i++) {
    second[i] = 0;
    E[i] = Q + 1;
  }
  for (int i = int(1); i <= (int)Q; i++) {
    scanf("%d", &otype);
    ;
    if (otype == 1) {
      ++uid;
      scanf("%d", &v[uid]);
      ;
      scanf("%d", &w[uid]);
      ;
      second[uid] = i;
      E[uid] = Q + 1;
    } else if (otype == 2) {
      scanf("%d", &x[i]);
      ;
      E[x[i]] = i;
    } else {
      ++tq;
      id[tq] = i;
    }
  }
  for (int i = 1; i <= uid; ++i) {
    update(1, 1, tq, second[i], E[i], i);
  }
  if (!tq) return 0;
  insert(1, 1, tq, 1);
  long long int answer;
  int nid, ans;
  pw[0] = 1;
  for (int i = 1; i <= k; ++i) {
    pw[i] = p;
    pw[i] = (pw[i] * pw[i - 1]) % q;
  }
  for (int i = int(1); i <= (int)tq; i++) {
    answer = 0;
    for (int j = 1; j <= k; ++j) {
      answer = (answer + (1ll * ansf[i][j] * pw[j - 1]) % q) % q;
    }
    ans = answer;
    printf("%d\n", ans);
  }
  return 0;
}