Two children are playing tag on a number line. (In the game of tag, the child called "it" tries to catch the other child.) The child who is "it" is now at coordinate A, and he can travel the distance of V per second. The other child is now at coordinate B, and she can travel the distance of W per second.

He can catch her when his coordinate is the same as hers. Determine whether he can catch her within T seconds (including exactly T seconds later). We assume that both children move optimally.

Constraints

* -10^9 \leq A,B \leq 10^9
* 1 \leq V,W \leq 10^9
* 1 \leq T \leq 10^9
* A \neq B
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


A V
B W
T


Output

If "it" can catch the other child, print `YES`; otherwise, print `NO`.

Examples

Input

1 2
3 1
3


Output

YES


Input

1 2
3 2
3


Output

NO


Input

1 2
3 3
3


Output

NO
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;

public class Main {

	static BufferedReader reader;
	final static boolean MODE_DEBUG = false;
	static int[] read_line_int;
	static int read_line_int_ptr;
	static long[] read_line_long;
	static int read_line_long_ptr;
	static String[] read_line;
	static int read_line_ptr;
	//static field here
	
	public static void main(String[] args) {
		// TODO Auto-generated method stub
		reader = new BufferedReader(new InputStreamReader(System.in));
		//code here
		int A = readInt();
		int V = readInt();
		int B = readInt();
		int W = readInt();
		long T = readInt();
		
		int dist = Math.abs(B-A);
		int dv = V-W;
		if(dv<0) {
			print("NO");
		}else if(dv==0) {
			print(dist==0?"YES":"NO");
		}else {
			print(dist<=dv*T?"YES":"NO");
		}
	}
	
	//functions here
	//note that all methods should be STATIC


	private static <T> int arraySearch(T needle, T[] heystack) {
		for(int i=0;i<heystack.length;i++) {
			if(needle.equals(heystack[i])) {
				return i;
			}
		}
		return -1;
	}
	private static int[] sort(int[] base) {
		int[] copy = array_copy(base);
		Arrays.sort(copy);
		return copy;
	}
	private static int[] array_copy(int[] base) {
		int[] copy = new int[base.length];
		for(int i=0;i<base.length;i++) {
			copy[i] = base[i];
		}
		return copy;
	}
	private static int[] asArray(ArrayList<Integer> ints) {
		int[] intlist = new int[ints.size()];
		for(int i=0;i<intlist.length;i++) {
			intlist[i] = ints.get(i);
		}
		return intlist;
	}
	private static int readInt() {
		if(read_line_int==null||read_line_int_ptr==read_line_int.length) {
			read_line_int = readLineInt();
			read_line_int_ptr=0;
		}
		return read_line_int[read_line_int_ptr++];
	}
	private static long readLong() {
		if(read_line_long==null||read_line_long_ptr==read_line_long.length) {
			read_line_long = readLineLong();
			read_line_long_ptr=0;
		}
		return read_line_long[read_line_long_ptr++];
	}
	private static String readString() {
		if(read_line==null||read_line_int_ptr==read_line.length) {
			read_line = readLine();
			read_line_ptr=0;
		}
		return read_line[read_line_ptr++];
	}
	private static String[] readLine(){
		try{
			return reader.readLine().split(" ");
		}catch(Exception e){
			e.printStackTrace();
			return new String[]{e.getMessage()};
		}
	}
	private static int[] readLineInt(){
		try{
			String[] s = readLine();
			int[] ints = new int[s.length];
			for(int i=0;i<ints.length;i++) {
				ints[i] = Integer.parseInt(s[i]);
			}
			return ints;
		}catch(Exception e){
			e.printStackTrace();
			return null;
		}
	}
	private static long[] readLineLong(){
		try{
			String[] s = readLine();
			long[] ints = new long[s.length];
			for(int i=0;i<ints.length;i++) {
				ints[i] = Long.parseLong(s[i]);
			}
			return ints;
		}catch(Exception e){
			e.printStackTrace();
			return null;
		}
	}
	private static byte[] readLineByte(){
		try{
			String[] s = readLine();
			byte[] bytes = new byte[s.length];
			for(int i=0;i<bytes.length;i++) {
				bytes[i] = Byte.parseByte(s[i]);
			}
			return bytes;
		}catch(Exception e){
			e.printStackTrace();
			return null;
		}
	}
	private static char[] readLineChar(){
		try{
			String[] s = readLine();
			char[] chars = new char[s.length];
			for(int i=0;i<chars.length;i++) {
				chars[i] = (char)Integer.parseInt(s[i]);
			}
			return chars;
		}catch(Exception e){
			e.printStackTrace();
			return null;
		}
	}
	private static void print(Object o){
		System.out.println(o);
	}
	private static void print(){
		System.out.println();
	}
	private static void printd(Object o){
		if(MODE_DEBUG)System.err.println(o);
	}
	private static void printd(){
		if(MODE_DEBUG)System.err.println();
	}
}
