# a= input()
# print(a[0:2], end=' ')
# print(a[2:4], end=' ')
# print(a[4:6], end=' ')
# a,b,c = input().split(':')
# a=int(a)
# b=int(b)
# c=int(c)
#
# if b==00:
# print('00')
# else:
# print(b)
# a, b = input().split(' ')
# print(a,b,sep='')
# a, b = input().split(' ')
# a=int(a)
# b=int(b)
# c=a+b
# print(c)
# a=input()
# b=input()
# a=float(a)
# b=float(b)
# c=a+b
# print(c)
# c=int(input())
# a=chr(c)
# print(a)
# a=input()
# a=float(a)
# print(format(a,'.2f'))
#a, b, c = input().split(' ')
#a= int(a)
#b=int(b)
#c=int(c)
#if (a>b>c):
# print (b)
#elif (a>c>b):
# print (c)
#elif (c>a>b):
# print(a)
#elif (c>b>a):
# print (b)
#elif (b>c>a):
# print(c)
#elif (b>a>c):
# print(a)
#elif (a==b) or (b==c):
# print (b)
#elif (a==c):
# print (a)
#a,b=input().split(' ')
#a=int(a)
#b=int(b)
#c=a//10000
#d=1900+c
#e=2000+c
#if (b==1) or (b==2):
# print (2012-d +1)
#elif (b==3) or (b==4):
# print (2012-e +1)
#a=input()
#a=int(a)
#b=2012-a+1
#c=(b%100)
#if b>=2000:
# print (c, '3')
#if b<2000:
# print (c, '1')
# a, b, c = input().split(' ')
# a=int(a)
# b=int(b)
# c=int(c)
# if (c>=10):
# print(a,b,c, sep=(''))
# elif (c<10):
# print (a,b,'0',c, sep=(''))
# a,b,c=input().split(' ')
# a=int(a)
# b=int(b)
# c=int(c)
# if (b<10):
# if (c<10):
# print (a, '0', b, '00', c, sep=(''))
# elif (c<100):
# print (a,'0', b, '0', c, sep=(''))
# elif (c >= 100):
# print (a, '0', b, c, sep=(''))
# if (b>=10):
# if (c<10):
# print (a, b, '00', c, sep=(''))
# elif (c<100):
# print (a, b, '0', c, sep=(''))
# elif (c >= 100):
# print (a, b, c, sep=(''))
# a,b,c=input().split(' ')
# a=int(a)
# b=int(b)
# c=int(c)
# if (a>b):
# if (b>c):
# print (c,b,a)
# if (c>b):
# if (a>c):
# print (b,c,a)
# elif (c>a):
# print (b,a,c)
# elif (b>a):
# if (b>c):
# if (a>c):
# print (c,a,b)
# elif (c>a):
# print (a,c,b)
# elif (c>b):
# print (a,b,c)
# if (a==b):
# if (a>c):
# print (c,a,b)
# if (c>a):
# print (a,b,c)
# if (b==c):
# if (b>a):
# print (a,b,c)
# if (a>b):
# print (b,c,a)
# if (c==a):
# if (c>b):
# print (b,a,c)
# if (b>c):
# print (c,a,b)
# if (a==b==c):
# print (a,b,c)
# a,b=input().split(' ')
# a=int(a)
# b=int(b)
# c=(b-30)
# d=(a-1)
# e=(b+60-30)
#
# if (b==0):
# if (a==0):
# print ('23 30')
# else:
# print (d, '30')
# elif (c<0):
# if (a==0):
# print ('23', e)
# else:
# print (d, e)
# else:
# print (a, c)
# a=input()
# a=int(a)
# ones=a%10
# tens=a//10
# d= ones * 10
# e = (d + tens) * 2
# f= e - 100
# if (e>=100):
# print (f)
# if (f <= 50):
# print('GOOD')
# elif (f > 50):
# print('OH MY GOD')
# else:
# print (e)
# if (e<=50):
# print ('GOOD')
# elif (e>50):
# print ('OH MY GOD')
# a=input()
# a=int(a)
# if (a>0):
# print ('양수')
# elif (a<0):
# print ('음수')
# else:
# print ('0')
# a=input()
# a=int(a)
# if (a<60):
# print ('F')
# elif (60<=a<70):
# print ('D')
# elif (70<= a < 80):
# print ('C')
# elif (80 <= a < 90):
# print ('B')
# elif (a>=90):
# print ('A')
# a=input()
# a=int(a)
# if (a<=10):
# print ('정상')
# elif (a<=20):
# print ('과체중')
# elif (a>20):
# print ('비만')
# a=input()
# a=int(a)
# b= a%10
# if (b==1):
# if (a==11):
# print ('11th')
# else:
# print (a, 'st', sep=(''))
# elif (b==2):
# if (a==12):
# print ('12th')
# else: print (a, 'nd', sep=(''))
# elif (b==3):
# if (a==13):
# print ('13th')
# else:
# print (a, 'rd', sep=(''))
# else:
# print (a, 'th', sep=(''))
# a,b=input().split(' ')
# a=float(a)
# b=float(b)
# x=int(a)
# y=int(b)
# c=a+b
# d=a-b
# e=a*b
# f=a/b
# g=x^y
# h=b-a
# i=b/a
# j=y^x
# if (c>d) and (c>e) and (c>f) and (c>g) and (c>h) and (c>i) and (c>j):
# print ('%.6f'%c)
# elif (d>c) and (d>e) and (d>f) and (d>g)and (d>h) and (d>i) and (d>j):
# print ('%.6f'%d)
# elif (e>d) and (e>c) and (e>f) and (e>g) and (e>h) and (e>i) and (e>j):
# print ('%.6f'%e)
# elif (f>d) and (f>e) and (f>c) and (f>g) and (f>h) and (f>i) and (f>j):
# print ('%.6f'%f)
# elif (g>d) and (g>e) and (g>f) and (g>c) and (g>h) and (g>i) and (g>j):
# print ('%.6f'%g)
# elif (h>d) and (h>e) and (h>f) and (h>c) and (h>g) and (h>i) and (h>j):
# print ('%.6f'%h)
# elif (i>d) and (i>e) and (i>f) and (i>c) and (i>h) and (i>g) and (i>j):
# print ('%.6f'%i)
# elif (j > d) and (j > e) and (j > f) and (j > c) and (j > h) and (j > i) and (j > g):
# print('%.6f' % j)
# Question 1210
# a, b = input().split(' ')
# a = int(a)
# b = int(b)
#
# '''
# ONE WAY TO DO IT (x += y) means (x = x + y)
# '''
# x = 0
# if a == 1:
# x = x + 400
# elif a == 2:
# x += 340
# elif a == 3:
# x += 170
# elif a == 4:
# x += 100
# elif a == 5:
# x += 70
# y = 0
# if b == 1:
# y += 400
# elif b == 2:
# y += 340
# elif b == 3:
# y += 170
# elif b == 4:
# y += 100
# elif b == 5:
# y += 70
#
# z = x + y
# if z > 500:
# print('angry')
# else:
# print('no angry')
# '''
# ANOTHER WAY TO DO IT
# '''
# if a == 1:
# if (b == 1) or (b==2) or (b==3):
# print ('angry')
# elif (b==4) or (b==5):
# print ('no angry')
# if a==2:
# if (b==1) or (b==2) or (b==3):
# print ('angry')
# elif (b==4) or (b==5):
# print ('no angry')
# if a == 3:
# if (b==1) or (b==2):
# print ('angry')
# elif (b==3) or (b==4) or (b==5):
# print ('no angry')
# if a==4:
# print ('no angry')
# if a==5:
# print ('no angry')
# a,b,c=input().split(' ')
# a=int(a)
# b=int(b)
# c=int(c)
# if (c>a) and (c>b):
# if bool(c<a+b):
# print ('yes')
# else:
# print ('no')
# if (b>a) and (b>c):
# if bool (b<a+c):
# print ('yes')
# else:
# print ('no')
# if (a>b) and (a>c):
# if bool (a<b+c):
# print ('yes')
# else:
# print ('no')
# if (a==b) or (b==c) or (c==a) or (a==b==c):
# print ('yes')
# a, b = input().split(' ')
# a = int(a)
# b = int(b)
# c = a % 400
# d = a % 4
# e = a % 100
#
# if (b==1) or (b==3) or (b==5) or (b==7) or (b==8) or (b==10) or (b==12):
# print ('31')
# elif (b==4) or (b==6) or (b==9) or (b==11):
# print ('30')
# elif (b==2):
# if c==0:
# print ('29')
# elif (d == 0) and (e != 0):
# print ('29')
# else:
# print ('28')
# '''
# 반복문:
# for i in range (범위)
# 범위 1개: 0 to N-1
# 2개: N to M-1
# 3개: N to M-1, Y마다
#
# 3개에서는 뒤로갈수도 있다 (y is negative => 20,1, -1 = 20 to 2, -1마다)
# '''
#
# for i in range(1,101):
# print (i, end=(' '))
# a=input()
# a=int(a)
# b = a + 1
# for i in range (1, b):
# print (i, end=(' '))
# a, b = input().split(' ')
# a = int(a)
# b = int(b)
# c = b + 1
# d = a + 1
# if b>a:
# for i in range (a, c):
# print (i, end=(' '))
# elif a>b:
# for i in range (b, d):
# print (i, end=(' '))
# elif a==b:
# print (a)
# '''
# ord: WORD TO NUMBER
# chr: NUMBER TO WORD
# '''
# a, b = input().split()
# a=ord(a)
# b=ord(b)
#
# for i in range (a, b+1):
# print (chr(i), end=' ')
# '''
# switched to BAEKJOON
# '''
#
# a = input()
# a = int(a)
#
# for i in range (1, 10):
# b = a * i
# print (a, '*', i, '=', b)
# i = int(input()) # 5
# for c in range(i): # 0 ~ 4
# a, b = map(int, input().split())
# c = a + b
# print(c)
# n = int(input())
# a=0
# for i in range(1, n+1):
# a = a + i
# print (a)
# X=int(input())
# N=int(input())
# for i in range(N):
# a, b = input().split()
# a = int(a)
# b = int(b)
# X -= (a*b)
# '''
# x -= y means x = x - y
# '''
# if 0 == X:
# print('Yes')
# else:
# print('No')
# a=int(input())
# for i in range (0, a, 4): meaning every 4th time from 0 to the value 'a'
# print('long', end=' ')
# print('int')
# v = int(input())
# for i in range(v):
# a, b = input().split()
# a = int(a)
# b = int(b)
# c = a + b
# print(c)
# T=input()
# T=int(T)
# for i in range(T):
# a, b = input().split()
# a=int(a)
# b=int(b)
# c = a + b
# print ('Case #', i+1, ': ', c, sep='')
#
# T = input()
# T = int(T)
# for i in range(T):
# a, b = input().split()
# a=int(a)
# b=int(b)
# c= a + b
# print('Case #', i+1, ': ', a, ' + ', b, ' = ', c, sep='')
# N = int(input())
# for i in range(N):
# a = '*' * (i+1)
# ''' i는 0부터!!!! N은 괜찮음 '''
# print(a)
# N = int(input())
# for i in range(N):
# a = '*' * (i+1)
# print (' ' * (N-(i+1)), a, sep='')