"""
  Python 3 supports
"""
import sys

# StringIO module
try:
    from StringIO import StringIO, BytesIO
except:
    from io import StringIO, BytesIO

# raw_input and map functiion behaviour
if sys.version[0]=="3": 
    raw_input = input
    lmap = lambda f,a: list(map(f,a))
else:
    lmap = lambda f,a: map(f,a)