using System;
using System.Collections.Generic;
using System.Collections;
using System.Collections.Specialized;
using System.Linq;
using System.Text;
using System.IO;
using System.Reflection;
using static System.Math;
using System.Numerics;
using System.Threading;
using System.Runtime.CompilerServices;
using System.Diagnostics;
static class Program{
	const int mod=(int)1e9+7;
	static void Main(){
		Sc sc=new Sc();
		var (k,n,m)=sc.Tp3<int>();
		var a=sc.La;
		var c=sc.La;
		Array.Reverse(c);
		var imos=new Imos(n,a,c);
		for(int i = 0;i<m;i++) {
			var e=sc.Ia;
			imos.Add(e[0],e[1]-1);
		}
		imos.Go();
		Console.WriteLine(imos);
	}
}
public class Imos{
	private const int mod=(int)1e9+7;
	private long[] a,h,c;
	private int[] d;
	private List<int>[] li;
	private int o,n;
	public Imos(int n,long[] a,long[] c){
		this.n=n;
		o=a.Length;
		h=new long[n+o];
		d=new int[n+1];
		Array.Resize(ref a,n+o);
		this.a=a;
		this.c=c;
		for(int i = o;i<n+o;i++) {
			for(int j = 0;j<o;j++) {a[i]=(a[i]+a[i-o+j]*c[j])%mod;}
		}
		li=new List<int>[n+1];
		for(int i = 0;i<=n;i++) {li[i]=new List<int>();}
	}
	public void Add(int l,int r){
		d[l]++;
		li[r+1].Add(r-l+1);
	}
	public void Go(){
		for (int i = 0;i<n;i++) {
			for (int j = 0;j<o;j++) {h[i+o]=(h[i+o]+h[j+i]*c[j])%mod;}
			if(d[i]!=0){
				for (int j = 0;j<o;j++) {h[j+i+1]=(h[j+i+1]+a[j]*d[i])%mod;}
			}
			for(int l = 0;l<li[i].Count;l++) {
				for (int j = 0;j<o;j++) {h[j+i+1]=(mod+h[j+i+1]-a[li[i][l]+j])%mod;}
			}
		}
	}
	public void Go(int m){
		
	}
	public long this[int i]{get{return h[i+1];}}
	public override string ToString()=>string.Join("\n",h.Skip(1).Take(n));
}
public class Sc{
	public int I{get{return int.Parse(Console.ReadLine());}}
	public long L{get{return long.Parse(Console.ReadLine());}}
	public double D{get{return double.Parse(Console.ReadLine());}}
	public string S{get{return Console.ReadLine();}}
	public int[] Ia{get{return Array.ConvertAll(Console.ReadLine().Split(),int.Parse);}}
	public long[] La{get{return Array.ConvertAll(Console.ReadLine().Split(),long.Parse);}}
	public double[] Da{get{return Array.ConvertAll(Console.ReadLine().Split(),double.Parse);}}
	public string[] Sa{get{return Console.ReadLine().Split();}}
	public object[] Oa{get{return Console.ReadLine().Split();}}
	public int[] Ia2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),int.Parse);}}
	public int[] Ia3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),int.Parse);}
	public int[] Ia3(int a){return Array.ConvertAll((Console.ReadLine()+" "+a.ToString()).Split(),int.Parse);}
	public long[] La2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),long.Parse);}}
	public long[] La3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),long.Parse);}
	public long[] La3(int a){return Array.ConvertAll((Console.ReadLine()+" "+a.ToString()).Split(),long.Parse);}
	public double[] Da2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),double.Parse);}}
	public double[] Da3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),double.Parse);}
	public T[] Arr<T>(int n,Func<T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f();}return a;}
	public T[] Arr<T>(int n,Func<int,T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i);}return a;}
	public T[] Arr<T>(int n,Func<string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(Console.ReadLine().Split());}return a;}
	public T[] Arr<T>(int n,Func<int,string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i,Console.ReadLine().Split());}return a;}
	public (T,T) Tp2<T>(){var s=Console.ReadLine().Split();return (Ct<T>(s[0]),Ct<T>(s[1]));}
	public (T,T,T) Tp3<T>(){var s=Console.ReadLine().Split();return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]));}
	public (T1,T1,T2) Tp3<T1,T2>(){var s=Console.ReadLine().Split();return (Ct<T1>(s[0]),Ct<T1>(s[1]),Ct<T2>(s[2]));}
	private T Ct<T>(string s){return (T)Convert.ChangeType(s,typeof(T));}
}