Year 2118. Androids are in mass production for decades now, and they do all the work for humans. But androids have to go to school to be able to solve creative tasks. Just like humans before.

It turns out that high school struggles are not gone. If someone is not like others, he is bullied. Vasya-8800 is an economy-class android which is produced by a little-known company. His design is not perfect, his characteristics also could be better. So he is bullied by other androids.

One of the popular pranks on Vasya is to force him to compare $x^y$ with $y^x$. Other androids can do it in milliseconds while Vasya's memory is too small to store such big numbers.

Please help Vasya! Write a fast program to compare $x^y$ with $y^x$ for Vasya, maybe then other androids will respect him.


-----Input-----

On the only line of input there are two integers $x$ and $y$ ($1 \le x, y \le 10^{9}$).


-----Output-----

If $x^y < y^x$, then print '<' (without quotes). If $x^y > y^x$, then print '>' (without quotes). If $x^y = y^x$, then print '=' (without quotes).


-----Examples-----
Input
5 8

Output
>

Input
10 3

Output
<

Input
6 6

Output
=



-----Note-----

In the first example $5^8 = 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 = 390625$, and $8^5 = 8 \cdot 8 \cdot 8 \cdot 8 \cdot 8 = 32768$. So you should print '>'.

In the second example $10^3 = 1000 < 3^{10} = 59049$.

In the third example $6^6 = 46656 = 6^6$.

Difficulty: interview

Starter code:

Solutions:
import math

x, y = [int(v) for v in input().split()]

xly = x * math.log(y)
ylx = y * math.log(x)

if abs(xly - ylx) < 1e-8:
    print('=')
elif ylx < xly:
    print('<')
else:
    print('>')


#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Tue May 29 21:10:19 2018

@st0rmbring3r
"""
# l = [int(x) for x in input().split()]
# for _ in range(int(input()))

import math

x,y = [int(x) for x in input().split()]

k1 = math.log(y)*x
k2 = math.log(x)*y

if k1>k2:
    print("<")
elif k1<k2:
    print(">")
else:
    print("=")

from copy import deepcopy
import itertools
from bisect import bisect_left
import math

def read():
    return int(input())


def readmap():
    return map(int, input().split())


def readlist():
    return list(map(int, input().split()))


x, y = readmap()

if y * math.log(x) < x * math.log(y):
    print("<")
elif y * math.log(x) > x * math.log(y):
    print(">")
else:
    print("=")

from math import log10
x,y = map(int, input().split())
if abs(y * log10(x) - x * log10(y)) <= 0.001:
	print('=')
elif y * log10(x) < x * log10(y):
	print('<')
else:
	print('>')

from math import log
x, y = list(map(int, input().split()))
if x == y:
    print('=')
elif y * log(x) > x * log(y) + 1e-9:
    print('>')
elif y * log(x) + 1e-9 < x * log(y):
    print('<')
else:
    print('=')


import math
def func(a, b):
    x = b*math.log2(a)
    y = a*math.log2(b)
    if x>y:
        return '>'
    elif y>x:
        return '<'
    else:
        return '='

s = input().split()
print(func(int(s[0]), int(s[1])))

x, y = map(int, input().split())
if x==y:
	print('=')
elif x==1:
	print('<')
elif y==1:
	print('>')
elif x==2 and y==3:
	print('<')
elif x==3 and y==2:
	print('>')
elif x==4 and y==2:
	print('=')
elif x==2 and y==4:
	print('=')
elif x < y:
	print('>')
elif x > y:
	print('<')

def solve(x, y):
    if (x == y):
        return '='
    if 2 in [x, y] and 4 in [x, y]:
        return '='
    if x == 1:
        return '<'
    if y == 1:
        return '>'
    if x == 3 and y == 2:
        return '>'
    if x == 2 and y == 3:
        return '<'
    if x < y:
        return '>'
    return '<'

x, y = list(map(int, input().split()))
print(solve(x, y))

import math
x,y=(list(map(int,input().strip().split(' '))))
if((x==y) or (x==2 and y==4) or(y==2 and x==4)):
  print("=")
else:
  t = y*math.log(x*1.0)
  tt = x*math.log(y*1.0)
  if(t>tt):
    print(">")
  else:
    print("<")



x, y = list(map(int, input().split()))

from math import log

xx, yy = (log(x) / x), (log(y) / y)

if(xx > yy):
    print(">")
elif (xx < yy):
    print("<")
else:
    print("=")


from math import log

x, y = list(map(int, input().split()))

a, b = y * log(x) , x * log(y)

ans = '>' if a > b else '<' if a < b else '='
print(ans)


import math
x, y = map(int, input().split())
if math.log10(x) * y > math.log10(y) * x:
    print('>')
elif math.log10(x) * y < math.log10(y) * x:
    print('<')
else:
    print('=')

import math;
def getIntList():
    return list(map(int, input().split()));
def getTransIntList(n):
    first=getIntList();
    m=len(first);
    result=[[0]*n for _ in range(m)];
    for i in range(m):
        result[i][0]=first[i];
    for j in range(1, n):
        curr=getIntList();
        for i in range(m):
            result[i][j]=curr[i];
    return result;
x, y=getIntList();
left=y*math.log(x);
right=x*math.log(y);
if left<right:
    print('<')
elif left>right:
    print('>');
else:
    print('=');

from math import *
x,y=list(map(int,input().split()))
if y*log(x)-x*log(y)==00:
      print("=")
elif y*log(x)-x*log(y)>0:
      print(">")
else:
      print("<")
      


from math import log
x,y=list(map(int,input().split()))
if x==1:
	if y==1:
		print('=')
	else:
		print('<')
else:
	if y==x*log(y,x):
		print('=')
	elif y<x*log(y,x):
		print('<')
	else:
		print('>')

from math import log
a,b=[int(i) for i in input().split()]
x = log(a)
y = log(b)
if b *x == a* y:
	print("=")
elif x*b < a * y:
	print("<")
else :
	print(">")		

x, y = map(int, input().split())
if x == 1 and y == 1:
    print('=')
elif x == 1 and y > 1:
    print('<')
elif x > 1 and y == 1:
    print('>')
else:
    if x <= 100 and y <= 100:
        if x ** y > y ** x:
            print('>')
        elif x ** y < y ** x:
            print('<')
        else:
            print('=')
    else:
        if x > y:
            print('<')
        elif x < y:
            print('>')
        else:
            print('=')

import math
inp = input().split(' ')
x = int(inp[0])
y = int(inp[1])
res1 = y * math.log(1.0 * x)
res2 = x * math.log(1.0 * y)
if res1 == res2 :
    print("=")
elif res1 > res2 :
    print(">")
else :
    print("<")


import math
x,y=list(map(int,input().split()))
if x==1 or y==1:
    if x**y==y**x:
        print('=')
    elif x**y>y**x:
        print('>')
    else:
        print('<')
    return
x,y=y,x*math.log(y,x)
if x==y:
    print('=')
elif x>y:
    print('>')
else:
    print('<')


from math import log
x, y = list(map(int, input().split()))
a = y * log(x)
b = x * log(y)
if a < b: print("<")
elif a == b: print("=")
else: print(">")


import math
x,y = list(map(int, input().split()))
d1 = x*math.log(y)
d2 = y*math.log(x)
if(d1>d2):
	print("<")
elif(d2>d1):
	print(">")
else:
	print("=")

from math import log
x, y = [int(x) for x in input().split()]
if y*log(x) == x*log(y):
    print("=")
elif y*log(x) < x*log(y):
    print("<")
else:
    print(">")


import math
x, y = map(int, input().split())
if y * math.log(x) > x * math.log(y):
    print(">")
elif y * math.log(x) < x * math.log(y):
    print("<")
else:
    print("=")

import math
x, y=list(map(int, input().split()))
if x==2 and y==4:
    print('=')
elif y==2 and x==4:
    print('=')
elif x==y:
    print('=')
elif (y*math.log(x)<x*math.log(y)):
    print ('<')
else:
    print('>')