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 JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.util.Deque;
import java.util.function.Supplier;
import java.util.ArrayList;
import java.io.OutputStreamWriter;
import java.io.OutputStream;
import java.util.Collection;
import java.io.IOException;
import java.io.UncheckedIOException;
import java.util.function.Consumer;
import java.util.List;
import java.io.Closeable;
import java.io.Writer;
import java.util.ArrayDeque;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) throws Exception {
        Thread thread = new Thread(null, new TaskAdapter(), "", 1 << 29);
        thread.start();
        thread.join();
    }

    static class TaskAdapter implements Runnable {
        @Override
        public void run() {
            InputStream inputStream = System.in;
            OutputStream outputStream = System.out;
            FastInput in = new FastInput(inputStream);
            FastOutput out = new FastOutput(outputStream);
            EAMuseumRobbery solver = new EAMuseumRobbery();
            solver.solve(1, in, out);
            out.close();
        }
    }

    static class EAMuseumRobbery {
        public void solve(int testNumber, FastInput in, FastOutput out) {
            int n = in.ri();
            int k = in.ri();
            List<Item> items = new ArrayList<>();
            for (int i = 0; i < n; i++) {
                Item item = new Item(in.ri(), in.ri(), 0);
                items.add(item);
                item.id = items.size();
            }
            int q = in.ri();
            Query[] qs = new Query[q];
            for (int i = 0; i < q; i++) {
                int t = in.ri();
                if (t == 1) {
                    Item item = new Item(in.ri(), in.ri(), i);
                    items.add(item);
                    item.id = items.size();
                } else if (t == 2) {
                    int num = in.ri() - 1;
                    items.get(num).die = i;
                } else {
                    qs[i] = new Query();
                }
            }

            Segment seg = new Segment(0, q - 1);
            for (Item item : items) {
                if (item.die == -1) {
                    item.die = q;
                }
                seg.update(item.born, item.die - 1, 0, q - 1, item);
            }
            seg.dfs(0, q - 1, new int[1001], (i, dp) -> {
                if (qs[i] == null) {
                    return;
                }
                long a = (int) 1e7 + 19;
                long b = (int) 1e9 + 7;
                long sum = 0;
                for (int j = k; j >= 1; j--) {
                    sum = (sum * a + dp[j]) % b;
                }
                qs[i].ans = (int) sum;
            });
            for (Query query : qs) {
                if (query == null) {
                    continue;
                }
                out.println(query.ans);
            }
        }

    }

    static class Item {
        int id;
        int v;
        int w;
        int born;
        int die = -1;

        public Item(int v, int w, int born) {
            this.v = v;
            this.w = w;
            this.born = born;
        }

    }

    static class DigitUtils {
        private DigitUtils() {
        }

        public static int floorAverage(int x, int y) {
            return (x & y) + ((x ^ y) >> 1);
        }

    }

    static class FastInput {
        private final InputStream is;
        private byte[] buf = new byte[1 << 13];
        private int bufLen;
        private int bufOffset;
        private int next;

        public FastInput(InputStream is) {
            this.is = is;
        }

        private int read() {
            while (bufLen == bufOffset) {
                bufOffset = 0;
                try {
                    bufLen = is.read(buf);
                } catch (IOException e) {
                    bufLen = -1;
                }
                if (bufLen == -1) {
                    return -1;
                }
            }
            return buf[bufOffset++];
        }

        public void skipBlank() {
            while (next >= 0 && next <= 32) {
                next = read();
            }
        }

        public int ri() {
            return readInt();
        }

        public int readInt() {
            int sign = 1;

            skipBlank();
            if (next == '+' || next == '-') {
                sign = next == '+' ? 1 : -1;
                next = read();
            }

            int val = 0;
            if (sign == 1) {
                while (next >= '0' && next <= '9') {
                    val = val * 10 + next - '0';
                    next = read();
                }
            } else {
                while (next >= '0' && next <= '9') {
                    val = val * 10 - next + '0';
                    next = read();
                }
            }

            return val;
        }

    }

    static class FastOutput implements AutoCloseable, Closeable, Appendable {
        private static final int THRESHOLD = 1 << 13;
        private final Writer os;
        private StringBuilder cache = new StringBuilder(THRESHOLD * 2);

        public FastOutput append(CharSequence csq) {
            cache.append(csq);
            return this;
        }

        public FastOutput append(CharSequence csq, int start, int end) {
            cache.append(csq, start, end);
            return this;
        }

        private void afterWrite() {
            if (cache.length() < THRESHOLD) {
                return;
            }
            flush();
        }

        public FastOutput(Writer os) {
            this.os = os;
        }

        public FastOutput(OutputStream os) {
            this(new OutputStreamWriter(os));
        }

        public FastOutput append(char c) {
            cache.append(c);
            afterWrite();
            return this;
        }

        public FastOutput append(int c) {
            cache.append(c);
            afterWrite();
            return this;
        }

        public FastOutput append(String c) {
            cache.append(c);
            afterWrite();
            return this;
        }

        public FastOutput println(int c) {
            return append(c).println();
        }

        public FastOutput println() {
            return append(System.lineSeparator());
        }

        public FastOutput flush() {
            try {
                os.append(cache);
                os.flush();
                cache.setLength(0);
            } catch (IOException e) {
                throw new UncheckedIOException(e);
            }
            return this;
        }

        public void close() {
            flush();
            try {
                os.close();
            } catch (IOException e) {
                throw new UncheckedIOException(e);
            }
        }

        public String toString() {
            return cache.toString();
        }

    }

    static class Segment implements Cloneable {
        private Segment left;
        private Segment right;
        private List<Item> items = new ArrayList<>();
        static Buffer<int[]> buffer = new Buffer<>(() -> new int[1001]);

        private void modify(Item item) {
            items.add(item);
        }

        public void pushUp() {
        }

        public void pushDown() {
        }

        public Segment(int l, int r) {
            if (l < r) {
                int m = DigitUtils.floorAverage(l, r);
                left = new Segment(l, m);
                right = new Segment(m + 1, r);
                pushUp();
            } else {

            }
        }

        private boolean enter(int ll, int rr, int l, int r) {
            return ll <= l && rr >= r;
        }

        private boolean leave(int ll, int rr, int l, int r) {
            return ll > r || rr < l;
        }

        public void update(int ll, int rr, int l, int r, Item item) {
            if (leave(ll, rr, l, r)) {
                return;
            }
            if (enter(ll, rr, l, r)) {
                modify(item);
                return;
            }
            pushDown();
            int m = DigitUtils.floorAverage(l, r);
            left.update(ll, rr, l, m, item);
            right.update(ll, rr, m + 1, r, item);
            pushUp();
        }

        public void dfs(int l, int r, int[] dp, Callback consumer) {
            int[] prev = buffer.alloc();
            System.arraycopy(dp, 0, prev, 0, prev.length);
            for (Item item : items) {
                for (int i = prev.length - 1; i >= 0; i--) {
                    if (i + item.w < prev.length) {
                        prev[i + item.w] = Math.max(prev[i + item.w], prev[i] + item.v);
                    }
                }
            }
            if (l < r) {
                int mid = DigitUtils.floorAverage(l, r);
                left.dfs(l, mid, prev, consumer);
                right.dfs(mid + 1, r, prev, consumer);
            } else {
                consumer.accept(l, prev);
            }
            buffer.release(prev);
        }

        private Segment deepClone() {
            Segment seg = clone();
            if (seg.left != null) {
                seg.left = seg.left.deepClone();
            }
            if (seg.right != null) {
                seg.right = seg.right.deepClone();
            }
            return seg;
        }

        protected Segment clone() {
            try {
                return (Segment) super.clone();
            } catch (CloneNotSupportedException e) {
                throw new RuntimeException(e);
            }
        }

        private void toString(StringBuilder builder) {
            if (left == null && right == null) {
                builder.append("val").append(",");
                return;
            }
            pushDown();
            left.toString(builder);
            right.toString(builder);
        }

        public String toString() {
            StringBuilder builder = new StringBuilder();
            deepClone().toString(builder);
            if (builder.length() > 0) {
                builder.setLength(builder.length() - 1);
            }
            return builder.toString();
        }

    }

    static class Query {
        int ans;

    }

    static class Buffer<T> {
        private Deque<T> deque;
        private Supplier<T> supplier;
        private Consumer<T> cleaner;
        private int allocTime;
        private int releaseTime;

        public Buffer(Supplier<T> supplier) {
            this(supplier, (x) -> {
            });
        }

        public Buffer(Supplier<T> supplier, Consumer<T> cleaner) {
            this(supplier, cleaner, 0);
        }

        public Buffer(Supplier<T> supplier, Consumer<T> cleaner, int exp) {
            this.supplier = supplier;
            this.cleaner = cleaner;
            deque = new ArrayDeque<>(exp);
        }

        public T alloc() {
            allocTime++;
            return deque.isEmpty() ? supplier.get() : deque.removeFirst();
        }

        public void release(T e) {
            releaseTime++;
            cleaner.accept(e);
            deque.addLast(e);
        }

    }

    static interface Callback {
        public void accept(int index, int[] dp);

    }
}