# print('He\'llo', end=' ')
# print('Hellool2')
# print('Apple', 'Banana', 'Gyul', sep='[HELLO]')
# x = input('Input Your Number')
# y = input('asd')
# x = int(x)
# y = int(y)
# print(x+y)
# print(x,type(x))
# type convert
# how input
# x, y = input().split('-')
# print(x, y)
# print('Hello')
# print('Hello','World')
# print('Hello')
# print('World')
# print('\'Hello\'')
# print('"Hello World"')
# print('"!@#$%^&*()\'')
# print('"C:\\Download\\\'hello\'.py"')
# print('print("Hello\\nWorld")')
# x=input()
# print(x)
# x=input()
# x=int(x)
# print(x)
# x=input()
# x=float(x)
# print(x)
# a=input()
# b=input()
# a=int(a)
# b=int(b)
# print(a)
# print(b)
# a=input()
# b=input()
# print(b)
# print(a)
# a=input()
# a=float(a)
# print(a)
# print(a)
# print(a)
# a,b=input().split(' ')
# a=int(a)
# b=int(b)
# print(a)
# print(b)
# x=input()
# x=int(x)
# print(-x)
# x=input()
# x=ord(x)
# print(chr(x+1))
# a,b=input().split(' ')
# a=int(a)
# b=int(b)
# c=a-b
# print(c)
# a,b=input().split(' ')
# a=float(a)
# b=float(b)
# c=a*b
# print(c)
# a,b=input().split()
# print(a*int(b))
# n=input()
# a=input()
# print(int(n)*a)
# a,b=input().split()
# a=int(a)
# b=int(b)
# c=a**b
# print(c)
# a,b=input().split()
# a=float(a)
# b=float(b)
# c=a**b
# print(c)
# a,b=input().split()
# a=int(a)
# b=int(b)
# c=a//b
# print(c)
# a,b=input().split()
# a=int(a)
# b=int(b)
# print(a%b)
# a=input()
# a=float(a)
# print('%.2f'%(a))
# a,b=input().split()
# a=float(a)
# b=float(b)
# print('%.3f'%(a/b))
# a,b,c=input().split()
# a=int(a)
# b=int(b)
# c=int(c)
# print(a+b+c,'%.2f'%((a+b+c)/3))
# '''
# 비교연산자
# x > y => True, False
# True(1), False(0)
#
# 논리연산자
# x = bool(int(x))
#
# bool (False): 0, None, []: List, {}: Dictionary, (): Tuple
#
# &&: and
# ||: or
# ! : not
#
# x and y
#
# 비트연산자
# x & y
# x | y
# x ^ y
# ~x
#
# x >> 2
# x << 2
#
#
#
#
# '''
# x=input()
# x=int(x)
# print(x<<1)
# a,b=input().split()
# a=int(a)
# b=int(b)
# print(a<<b)
# a,b=input().split()
# a=int(a)
# b=int(b)
# print(a<b)
# a,b=input().split()
# a=int(a)
# b=int(b)
# print(a==b)
# a,b=input().split()
# a=int(a)
# b=int(b)
# print(a<=b)
# a,b=input().split()
# a=int(a)
# b=int(b)
# print(a!=b)
# n=int(input())
# print(bool(n))
# a=bool(int(input()))
# print(not a)
# a,b=input().split()
# print(bool(int(a)) and bool(int(b)))
# a,b=input().split()
# print(bool(int(a)) or bool(int(b)))
# a,b=input().split()
# c=bool(int(a))
# d=bool(int(b))
# print((c and (not d)) or ((not c) and d))
# a,b=input().split()
# c=bool(int(a))
# d=bool(int(b))
# print(((not c) and (not d)) or (c and d))
# a,b=input().split()
# c=bool(int(a))
# d=bool(int(b))
# print(not (c or d))
# a=input()
# a=int(a)
# print(~a)
# a,b=input().split()
# a=int(a)
# b=int(b)
# print(a&b)
# a,b=input().split()
# a=int(a)
# b=int(b)
# print(a|b)
# a,b=input().split()
# a=int(a)
# b=int(b)
# print(a^b)
# a,b=input().split()
# a=int(a)
# b=int(b)
# c=(a if (a>=b) else b)
# print(int(c))
# a,b,c=input().split()
# a=int(a)
# b=int(b)
# c=int(c)
# d=(a if (a<b) else b) if ((a if (a<b) else b)<c) else c
# print(int(d))
# y, m=input().split()
# y=int(y)
# m=int(m)
# if m==2:
# if y%400==0:
# print('29')
# elif y%4==0:
# if y%100!=0:
# print('29')
# else:
# print('28')
# else:
# print('28')
# else:
# if m%2==0:
# if m>7:
# print('31')
# else:
# print('30')
# else:
# if m<8:
# print('31')
# else:
# print('30')
# a,b,c=input().split()
# a=int(a)
# b=int(b)
# c=int(c)
# if a>b:
# t = a
# a = b
# b = t
# if b>c:
# t = c
# c = b
# b = t
# if a>b:
# t = a
# a = b
# b = t
# if a+b>c:
# print('yes')
# else:
# print('no')
# x, y, z = map(int, input().split())
# v = [x, y, z] # list
# v.sort()
#
# if v[0] + v[1] > v[2]:
# print('Yes')
# else:
# print('No')
# t,s=map(int, input().split())
# if t==90:
# print(s)
# else:
# if t%5==0:
# print(s + (90 - t) // 5 )
# else:
# print(s + (90 - t) // 5 + 1)
# a,b,c=map(int,input().split())
# if a>b:
# t = a
# a = b
# b = t
# if b>c:
# t = c
# c = b
# b = t
# if a>b:
# t = a
# a = b
# b = t
# print(b)
# h,m=map(int, input().split())
# a=60*h+m-30
# if a<0:
# print('23',a+60)
# elif a==0:
# print('0 0')
# else:
# print(a//60,a%60)
# n=input()
# n=int(n)
# a=((n//10)+(10*(n%10)))*2
# print(a%100)
# if (a%100)>50:
# print('OH MY GOD')
# else:
# print('GOOD')
# a,b,c=map(int,input().split())
# if a+b>c:
# if a==b and b==c:
# print('정삼각형')
# elif a==b or b==c or a==c:
# print('이등변삼각형')
# elif a*a+b*b==c*c:
# print('직각삼각형')
# else:
# print('삼각형')
# else:
# print('삼각형아님')