Fox Ciel has some flowers: r red flowers, g green flowers and b blue flowers. She wants to use these flowers to make several bouquets. There are 4 types of bouquets:

  * To make a "red bouquet", it needs 3 red flowers. 
  * To make a "green bouquet", it needs 3 green flowers. 
  * To make a "blue bouquet", it needs 3 blue flowers. 
  * To make a "mixing bouquet", it needs 1 red, 1 green and 1 blue flower. 



Help Fox Ciel to find the maximal number of bouquets she can make.

Input

The first line contains three integers r, g and b (0 ≤ r, g, b ≤ 109) — the number of red, green and blue flowers.

Output

Print the maximal number of bouquets Fox Ciel can make.

Examples

Input

3 6 9


Output

6


Input

4 4 4


Output

4


Input

0 0 0


Output

0

Note

In test case 1, we can make 1 red bouquet, 2 green bouquets and 3 blue bouquets.

In test case 2, we can make 1 red, 1 green, 1 blue and 1 mixing bouquet.
# def islucky(n):
#     if(len(n)%2!=0):
#         return False
#     n4=0
#     n7=0
#     for c in n:
#         if c=='4':
#             n4+=1
#         elif c=='7':
#             n7+=1
#         else:
#             return False
#     if n4==n7:
#         return True
#     else:
#         return False
#
# n = input()
# t = int(n)
#
# i = t
# while True:
#     if islucky(str(i)):
#         print(i)
#         break
#     else:
#         i+=1
#
#

r,b,g = [int(x) for x in input().split()]

s1 = r//3 + b//3 + g//3
s2 = s1
s3 = s1
if min([r,b,g]) > 0:
    s2 = 1 + (r-1)//3 + (b-1)//3 + (g-1)//3

if(min([r,b,g] )> 1):
    s3 = 2 + (r-2)//3 + (b-2)//3 + (g-2)//3


# print(r,g,b)
print(max([s1,s2,s3]))

