Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di.

Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array.

Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg.

Input

The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array.

Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105).

Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m).

The numbers in the lines are separated by single spaces.

Output

On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces.

Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier.

Examples

Input

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


Output

9 18 17


Input

1 1 1
1
1 1 1
1 1


Output

2


Input

4 3 6
1 2 3 4
1 2 1
2 3 2
3 4 4
1 2
1 3
2 3
1 2
1 3
2 3


Output

5 18 31 20
import java.io.*;
import java.util.*;

public class A {

    MyScanner in;
    PrintWriter out;

    public static void main(String[] args) throws Exception {
        new A().run();
    }

    public void run() throws Exception {
        in = new MyScanner();
        out = new PrintWriter(System.out);

        solve();

        out.close();
    }

    class Pair {
        long x, y;
        
        public Pair(long x, long y) {
            this.x = x;
            this.y = y;            
        }
    }
    
    class Triple {
        long l, r, d;
        
        public Triple(long l, long r, long d) {
            this.l = l;
            this.r = r;            
            this.d = d;
        }
    }
    
    public void solve() throws Exception {
        int n = in.nextInt();
        int m = in.nextInt();
        int k = in.nextInt();
        long[] a = new long[n];
        for (int i = 0; i < n; i++) {
            a[i] = in.nextLong();
        }
        Triple[] q = new Triple[m];
        for (int i = 0; i < m; i++) {
            q[i] = new Triple(in.nextLong() - 1, in.nextLong() - 1, in.nextLong());
        }
        Pair[] r = new Pair[k];
        for (int i = 0; i < k; i++) {
            r[i] = new Pair(in.nextLong() - 1, in.nextLong() - 1);
        }
        
        long[] t = new long[m];
        for (int i = 0; i < k; i++) {
            t[(int) r[i].x]++;
            if (r[i].y < m - 1) t[(int) r[i].y + 1]--;
        }
        long[] c = new long[m];
        c[0] = t[0];
        for (int i = 1; i < m; i++) {
            c[i] = c[i - 1] + t[i];
        }
        
        long[] p = new long[n];
        for (int i = 0; i < m; i++) {
            p[(int) q[i].l] += q[i].d * c[i];
            if (q[i].r < n - 1) p[(int) q[i].r + 1] -= q[i].d * c[i];
        }
        long[] b = new long[n];
        b[0] = p[0];
        for (int i = 1; i < n; i++) {
            b[i] = b[i - 1] + p[i];
        }
        
        for (int i = 0; i < n; i++) {
            a[i] += b[i];
        }
        
        for (int i = 0; i < n; i++) {
            out.print(a[i] + " ");
        }
    }

    class MyScanner {

        BufferedReader br;
        StringTokenizer st;

        public MyScanner() throws Exception {
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        String next() throws Exception {
            while ((st == null) || (!st.hasMoreTokens())) {
                String t = br.readLine();
                if (t == null) {
                    return null;
                }
                st = new StringTokenizer(t);
            }
            return st.nextToken();
        }

        int nextInt() throws Exception {
            return Integer.parseInt(next());
        }

        double nextDouble() throws Exception {
            return Double.parseDouble(next());
        }

        boolean nextBoolean() throws Exception {
            return Boolean.parseBoolean(next());
        }

        long nextLong() throws Exception {
            return Long.parseLong(next());
        }
    }
}
