Problem: One day Natalia was walking in the woods when she met a little mushroom gnome. The gnome told her the following story:

Everybody knows that the mushroom gnomes' power lies in the magic mushrooms that grow in the native woods of the gnomes. There are n trees and m magic mushrooms in the woods: the i-th tree grows at a point on a straight line with coordinates ai and has the height of hi, the j-th mushroom grows at the point with coordinates bj and has magical powers zj.

But one day wild mushroommunchers, the sworn enemies of mushroom gnomes unleashed a terrible storm on their home forest. As a result, some of the trees began to fall and crush the magic mushrooms. The supreme oracle of mushroom gnomes calculated in advance the probability for each tree that it will fall to the left, to the right or will stand on. If the tree with the coordinate x and height h falls to the left, then all the mushrooms that belong to the right-open interval [x - h, x), are destroyed. If a tree falls to the right, then the mushrooms that belong to the left-open interval (x, x + h] are destroyed. Only those mushrooms that are not hit by a single tree survive.

Knowing that all the trees fall independently of each other (i.e., all the events are mutually independent, and besides, the trees do not interfere with other trees falling in an arbitrary direction), the supreme oracle was also able to quickly calculate what would be the expectation of the total power of the mushrooms which survived after the storm. His calculations ultimately saved the mushroom gnomes from imminent death.

Natalia, as a good Olympiad programmer, got interested in this story, and she decided to come up with a way to quickly calculate the expectation of the sum of the surviving mushrooms' power.

Input

The first line contains two integers n and m (1 ≤ n ≤ 105, 1 ≤ m ≤ 104) — the number of trees and mushrooms, respectively.

Each of the next n lines contain four integers — ai, hi, li, ri (|ai| ≤ 109, 1 ≤ hi ≤ 109, 0 ≤ li, ri, li + ri ≤ 100) which represent the coordinate of the i-th tree, its height, the percentage of the probabilities that the tree falls to the left and to the right, respectively (the remaining percentage is the probability that the tree will stand on).

Each of next m lines contain two integers bj, zj (|bj| ≤ 109, 1 ≤ zj ≤ 103) which represent the coordinate and the magical power of the j-th mushroom, respectively.

An arbitrary number of trees and mushrooms can grow in one point.

Output

Print a real number — the expectation of the total magical power of the surviving mushrooms. The result is accepted with relative or absolute accuracy 10 - 4.

Examples

Input

1 1
2 2 50 50
1 1


Output

0.5000000000


Input

2 1
2 2 50 50
4 2 50 50
3 1


Output

0.2500000000

Note

It is believed that the mushroom with the coordinate x belongs to the right-open interval [l, r) if and only if l ≤ x < r. Similarly, the mushroom with the coordinate x belongs to the left-open interval (l, r] if and only if l < x ≤ r.

In the first test the mushroom survives with the probability of 50%, depending on where the single tree falls.

In the second test the mushroom survives only if neither of the two trees falls on it. It occurs with the probability of 50%  ×  50% = 25%.

Pretest №12 is the large test with 105 trees and one mushroom.

Solution (in JAVA):

Solution:
import java.io.*;
import java.math.*;
import java.util.*;

public class C {
    static class Solver {       
        public void run() throws IOException {
            final int n = nextInt();
            final int m = nextInt();
            int[][] tree = new int[n][4];
            int[][] kinoko = new int[m][2];
            int[] compress = new int[4 * n + m];
            
            for(int i = 0; i < n; i++) {
                for(int j = 0; j < 4; j++) {
                    tree[i][j] = nextInt();
                }
                compress[i*4+0] = tree[i][0];
                compress[i*4+1] = tree[i][0] + 1;
                compress[i*4+2] = tree[i][0] - tree[i][1];
                compress[i*4+3] = tree[i][0] + tree[i][1] + 1;
            }
            for(int i = 0; i < m; i++) {
                for(int j = 0; j < 2; j++) {
                    kinoko[i][j] = nextInt();
                }
                compress[i+4*n] = kinoko[i][0];
            }
            
            Arrays.sort(compress);
            
            Tree segTree = new Tree(compress.length, 1.0, 1.0);
            for(int i = 0; i < n; i++) {
                final int a = Arrays.binarySearch(compress, tree[i][0] - tree[i][1]);
                final int b = Arrays.binarySearch(compress, tree[i][0]);
                final int c = Arrays.binarySearch(compress, tree[i][0] + 1);
                final int d = Arrays.binarySearch(compress, tree[i][0] + tree[i][1] + 1);
                segTree.update(a, b, 1 - tree[i][2] / 100.0);
                segTree.update(c, d, 1 - tree[i][3] / 100.0);
            }
            
            double res = 0;
            for(int i = 0; i < m; i++) {
                res += segTree.get(Arrays.binarySearch(compress, kinoko[i][0])) * kinoko[i][1];
            }
            out.println(res);
        }
    }
    

    
    public static void main(String[] args) {
        try {
            new Solver().run();
            out.flush();
        } catch(IOException e) {
            System.err.println(e.getStackTrace());
        }
    }
    
    private static BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
    public static PrintWriter out = new PrintWriter(System.out);
    private static StringTokenizer tok = new StringTokenizer("");
    
    static void read() throws IOException { tok = new StringTokenizer(in.readLine()); }
    
    public static String next() throws IOException { while(!tok.hasMoreTokens()) read(); return tok.nextToken(); }
    public static long nextLong() throws IOException { return Long.parseLong(next()); }
    public static int nextInt() throws IOException { return Integer.parseInt(next()); }
    public static double nextDouble() throws IOException { return Double.parseDouble(next()); }
    public static BigInteger nextBigInteger() throws IOException { return new BigInteger(next()); }

}

class Tree extends SegmentTree<Double> {
    public Tree(int N, Double initialValue, Double initialRangeValue) {
        super(N, initialValue, initialRangeValue);
        // TODO Auto-generated constructor stub
    }

    @Override
    Double merge(Double left, Double right) {
        // TODO Auto-generated method stub
        return null;
    }

    @Override
    Double apply(Double rangeValue, Double value) {
        return rangeValue * value;
    }
    
    @Override
    Double modifyRangeValue(Double oldValue, Double newValue) {
        // TODO Auto-generated method stub
        return oldValue * newValue;
    }
}

abstract class SegmentTree<T> {
    abstract T merge(final T left, final T right);
    abstract T apply(final T rangeValue, final T value);
    abstract T modifyRangeValue(final T oldValue, final T newValue);
    
    final int n;
    final List<T> value;
    final List<T> rangeValue;
    
    public SegmentTree(final int N, final T initialValue, final T initialRangeValue) {
        n = Integer.highestOneBit(N) << 1;
        value = new ArrayList<T>(n<<1);
        rangeValue = new ArrayList<T>(n<<1);
        for(int i = 0; i < n<<1; i++) {
            value.add(initialValue);
            rangeValue.add(initialRangeValue);
        }
    }
    
    public void update(int index, final T newValue) {
        index += n - 1;
        value.set(index, newValue);
        while(index != 0) {
            index = (index - 1) >>> 1;
            final int left = (index << 1) + 1, right = left + 1;
            final T leftValue = apply(rangeValue.get(left), value.get(left));
            final T rightValue = apply(rangeValue.get(right), value.get(right));
            value.set(index, merge(leftValue, rightValue));
        }
    }
    
    // [left, right)
    public void update(final int left, final int right, final T val) {
        update(0, 0, n, left, right, val);
    }
    
    private void update(final int k, final int l, final int r, final int left, final int right, final T val) {
        if(right <= l || r <= left) {
            return;
        }
        
        if(left <= l && r <= right) {
            rangeValue.set(k, modifyRangeValue(rangeValue.get(k), val));
            return;
        }
        
        final int m = (l + r) >>> 1;
        update(2 * k + 1, l, m, left, right, val);
        update(2 * k + 2, m, r, left, right, val);
    }
    
    public T get(int index) {
        index += n - 1;
        T ret = apply(rangeValue.get(index), value.get(index));
        while(index != 0) {
            index = (index - 1) >>> 1;
            ret = apply(rangeValue.get(index), ret);
        }
        return ret;
    }
    
    public T get(final int left, final int right) { return get(0, 0, n, left, right); }
    private T get(final int k, final int l, final int r, final int left, final int right) {
        if(right <= l || r <= left) {
            return null;
        }
        
        if(left <= l && r <= right) {
            final T ret = apply(rangeValue.get(k), value.get(k));
            return ret;
        }
        
        final int m = (l + r) >>> 1;
        final T leftValue = get(2 * k + 1, l, m, left, right);
        final T rightValue = get(2 * k + 2, m, r, left, right);
        return merge(leftValue, rightValue);
    }
}