Description

After seeing the "ALL YOUR BASE ARE BELONG TO US" meme for the first time, numbers X and Y realised that they have different bases, which complicated their relations.

You're given a number X represented in base b_x and a number Y represented in base b_y. Compare those two numbers.

Input

The first line of the input contains two space-separated integers n and b_x (1 ≤ n ≤ 10, 2 ≤ b_x ≤ 40), where n is the number of digits in the b_x-based representation of X.

The second line contains n space-separated integers x₁, x₂, ..., x_n (0 ≤ x_i < b_x) — the digits of X. They are given in the order from the most significant digit to the least significant one.

The following two lines describe Y in the same way: the third line contains two space-separated integers m and b_y (1 ≤ m ≤ 10, 2 ≤ b_y ≤ 40, b_x ≠ b_y), where m is the number of digits in the b_y-based representation of Y, and the fourth line contains m space-separated integers y₁, y₂, ..., y_m (0 ≤ y_i < b_y) — the digits of Y.

There will be no leading zeroes. Both X and Y will be positive. All digits of both numbers are given in the standard decimal numeral system.

Output

Output a single character (quotes for clarity):

• '<' if X < Y
• '>' if X > Y
• '=' if X = Y

Sample Input

Input

6 2 1 0 1 1 1 1 2 10 4 7

Output

=

Input

3 3 1 0 2 2 5 2 4

Output

<

Input

7 16 15 15 4 0 0 7 10 7 9 4 8 0 3 1 5 0

Output

>

Hint

In the first sample, X = 101111₂ = 47₁₀ = Y.

In the second sample, X = 102₃ = 21₅ and Y = 24₅ = 112₃, thus X < Y.

In the third sample, 

 and 

Y = 4803150₉

. We may notice that 

X

 starts with much larger digits and 

b_x

 is much larger than 

b_y

, so 

X

 is clearly larger than 

Y

. 

 

转换进制，一边读入一边转为十进制，再比较大小。

#include
     
      long long x,y,bx,by,num,decx,decy;int main(){    scanf("%lld%lld",&x,&bx);    for(int i=0;i
      
       decy)printf(">\n");    else if(decx
       
        <\n");    else printf("=\n");    return 0;}