Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

1 2
3 1
3

Sample Output 1

YES

Sample Input 2

1 2
3 2
3

Sample Output 2

NO

Sample Input 3

1 2
3 3
3

Sample Output 3

NO

Solution in C++ (GCC 9.2.1) (judge verdict: Runtime Error)

#include <bits/stdc++.h>
 
#define rep(i,n) for(int i=0;i<(n);i++)
#define reps(i,n) for(int i=1;i<=(n);i++)
#define lol long long
#define SUM(n) ((n)+1)*(n)/2 //1〜nまでの総和を求める式
#define mp make_pair
#define fi first
#define se second
#define pu push_back
#define SYOU(x) fixed<<setprecision(x+1) //小数点桁数を指定する
#define abs(x,y) max(x,y)-min(x,y)
#define all(v) v.begin(),v.end()
#define UPDight(a,b) (a+b-1)/b //小数点切り上げ 
const int INF = 0x3f3f3f3f;
const long long LINF = 0x3f3f3f3f3f3f3f3fLL;
const int MOD=int(1e9)+7; 
using namespace std;
using pii = pair<int, int>;
typedef vector<int> vit;

//最大公約数
lol gcd(lol x, lol y){
  if(x < y) swap(x, y);
  lol r = x % y;
  while(r != 0){
    x = y;
    y = r;
    r = x % y;
  }
  return y;
}

//最小公倍数
lol lcm(lol x, lol y){
  lol a = x * y;
  return (a / gcd(x, y));
}

signed main(void){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);

  lol a, b, v, w, t;
  cin >> a >> v >> b >> w >> t;
  v = v * t;
  w = w * t;
  v = (v - w);
  if(a + v >= b && (b - a) % v == 0){
    cout << "YES\n";
  } else {
    cout << "NO\n";
  }
  return 0;
}