A. Kirill And The Game

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

Kirill plays a new computer game. He came to the potion store where he can buy any potion. Each potion is characterized by two integers — amount of experience and cost. The efficiency of a potion is the ratio of the amount of experience to the cost. Efficiency may be a non-integer number.

For each two integer numbers a and b such that l ≤ a ≤ r and x ≤ b ≤ y there is a potion with experience a and cost b in the store (that is, there are (r - l + 1)·(y - x + 1) potions).

Kirill wants to buy a potion which has efficiency k. Will he be able to do this?

Input

First string contains five integer numbers l, r, x, y, k (1 ≤ l ≤ r ≤ 10⁷, 1 ≤ x ≤ y ≤ 10⁷, 1 ≤ k ≤ 10⁷).

Output

Print "YES" without quotes if a potion with efficiency exactly k can be bought in the store and "NO" without quotes otherwise.

You can output each of the letters in any register.

Examples

Input

1 10 1 10 1

Output

YES

Input

1 5 6 10 1

Output

NO 其实挺水的,但是我也哇了两次.

1 #include 
         
           2 #define ll long long int 3 using namespace std; 4 int main(){ 5     int l,r,x,y,k; 6     cin>>l>>r>>x>>y>>k; 7     for(ll i=x;i<=y;i++){ 8         if(k*i>=l&&k*i<=r){ 9             cout<<"YES"<