The Cartesian coordinate system is set in the sky. There you can see n stars, the i-th has coordinates (xi, yi), a maximum brightness c, equal for all stars, and an initial brightness si (0 ≤ si ≤ c).

Over time the stars twinkle. At moment 0 the i-th star has brightness si. Let at moment t some star has brightness x. Then at moment (t + 1) this star will have brightness x + 1, if x + 1 ≤ c, and 0, otherwise.

You want to look at the sky q times. In the i-th time you will look at the moment ti and you will see a rectangle with sides parallel to the coordinate axes, the lower left corner has coordinates (x1i, y1i) and the upper right — (x2i, y2i). For each view, you want to know the total brightness of the stars lying in the viewed rectangle.

A star lies in a rectangle if it lies on its border or lies strictly inside it.

Input

The first line contains three integers n, q, c (1 ≤ n, q ≤ 105, 1 ≤ c ≤ 10) — the number of the stars, the number of the views and the maximum brightness of the stars.

The next n lines contain the stars description. The i-th from these lines contains three integers xi, yi, si (1 ≤ xi, yi ≤ 100, 0 ≤ si ≤ c ≤ 10) — the coordinates of i-th star and its initial brightness.

The next q lines contain the views description. The i-th from these lines contains five integers ti, x1i, y1i, x2i, y2i (0 ≤ ti ≤ 109, 1 ≤ x1i < x2i ≤ 100, 1 ≤ y1i < y2i ≤ 100) — the moment of the i-th view and the coordinates of the viewed rectangle.

Output

For each view print the total brightness of the viewed stars.

Examples

Input

2 3 3
1 1 1
3 2 0
2 1 1 2 2
0 2 1 4 5
5 1 1 5 5


Output

3
0
3


Input

3 4 5
1 1 2
2 3 0
3 3 1
0 1 1 100 100
1 2 2 4 4
2 2 1 4 7
1 50 50 51 51


Output

3
3
5
0

Note

Let's consider the first example.

At the first view, you can see only the first star. At moment 2 its brightness is 3, so the answer is 3.

At the second view, you can see only the second star. At moment 0 its brightness is 0, so the answer is 0.

At the third view, you can see both stars. At moment 5 brightness of the first is 2, and brightness of the second is 1, so the answer is 3.
import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.io.UnsupportedEncodingException;
import java.util.StringTokenizer;

public class Main {
    
    public static void main(String[] args) throws UnsupportedEncodingException, IOException {
        Reader.init(System.in);
        StringBuilder out = new StringBuilder();
        int n = Reader.nextInt(), q = Reader.nextInt(), c = Reader.nextInt();
        int[][][] a = new int[101][101][c + 1];
        while(n-- > 0)
            a[Reader.nextInt()][Reader.nextInt()][Reader.nextInt()]++;
        int x, y, b;
        for(x = 1; x < 101; x++)
            for(y = 1; y < 101; y++)
                for(b = 0; b <= c; b++)
                    a[x][y][b] += a[x - 1][y][b] + a[x][y - 1][b] - a[x - 1][y - 1][b];
        long t, sum, cur;
        int x1, y1, x2, y2;
        while(q-- > 0) {
            t = Reader.nextLong();
            x1 = Reader.nextInt();
            y1 = Reader.nextInt();
            x2 = Reader.nextInt();
            y2 = Reader.nextInt();
            sum = 0;
            for(b = 0; b <= c; b++)
                sum += (a[x2][y2][b] - a[x1 - 1][y2][b] - a[x2][y1 - 1][b] + a[x1 - 1][y1 - 1][b]) * ((t + b) % (c + 1));
            out.append(sum).append('\n');
        }
        PrintWriter p = new PrintWriter(System.out);
        p.print(out);
        p.close();
    }
    
}

class Reader {
    static BufferedReader reader;
    static StringTokenizer tokenizer;

    /** call this method to initialize reader for InputStream */
    static void init(InputStream input) throws UnsupportedEncodingException {
        reader = new BufferedReader(
                     new InputStreamReader(input, "UTF-8") );
        tokenizer = new StringTokenizer("");
    }
    
    static void init(String fileUrl) throws UnsupportedEncodingException, FileNotFoundException {
        reader = new BufferedReader(new FileReader(fileUrl));
        tokenizer = new StringTokenizer("");
    }

    /** get next word */
    static String next() throws IOException {
        while ( ! tokenizer.hasMoreTokens() ) {
            //TODO add check for eof if necessary
            tokenizer = new StringTokenizer(
                   reader.readLine() );
        }
        return tokenizer.nextToken();
    }
    
    static String nextLine() throws IOException {
        return reader.readLine();
    }

    static int nextInt() throws IOException {
        return Integer.parseInt( next() );
    }
    
    static double nextDouble() throws IOException {
        return Double.parseDouble( next() );
    }
    
    static long nextLong() throws IOException {
        return Long.parseLong( next() );
    }
}