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.util.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
public class Ideone
{
	public static class FastScanner {
		BufferedReader br;
		StringTokenizer st;
		public FastScanner(InputStream in) throws Exception {
			br = new BufferedReader(new InputStreamReader(in));			
		}
		public String next() throws Exception {
			while (st == null || !st.hasMoreTokens()) {
				st = new StringTokenizer(br.readLine().trim());
			}
			return st.nextToken();
		}
		public int nextInt() throws Exception {
			return Integer.parseInt(next());
		}
			public long nextLong() throws Exception {
			return Long.parseLong(next());
		}
	}
	
	public static void main (String[] args) throws java.lang.Exception
	{
		// your code goes here
	FastScanner in = new FastScanner(System.in);
	PrintWriter out = new PrintWriter(System.out);
		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();
		}
		int l[]=new int[m];
		int r[]=new int[m];
	long d[]=new long[m];
		for(int i=0;i<m;i++){
			l[i]=in.nextInt();
			r[i]=in.nextInt();
			d[i]=in.nextLong();
			l[i]-=1;
			r[i]-=1;
			
			
		}
		
	long inc[]=new long[m];
		for(int i=0;i<k;i++){
			int x=in.nextInt();
			int y=in.nextInt();
			x-=1;
			y-=1;
			inc[x]+=1;
			if((y+1)<m)
			inc[y+1]-=1;
		}
		long c=0;
		long inc2[]=new long[n];
		for(int i=0;i<m;i++){
			c+=inc[i];
			d[i]=d[i]*c;
			inc2[l[i]]+=d[i];
			if((r[i]+1)<n)
			inc2[r[i]+1]-=d[i];
			
			
		}
	c=0;
		for(int i=0;i<n;i++){
			c+=inc2[i];
			a[i]+=c;
			out.print(a[i]+" ");
		}
		out.println();
		out.close();
	}
}