Ones/1002

~cpp 
import unittest

def isAllOne(aValue):
    valueStr = str(aValue)
    for each in valueStr:
        if each != '1':
            return False
    return True

def isMultiplyOf(aValue, mulValue):
    return aValue % mulValue == 0

def ones(aValue):
    theOnes = "1"
    while True:
        onesValue = int(theOnes)
        if isMultiplyOf(onesValue,aValue):
            return len(theOnes)
        theOnes += "1"

class OnesTest(unittest.TestCase):
    def testSmall(self):
        self.assertEquals(3, ones(3))
        self.assertEquals(6, ones(7))
    def testSmall2(self):
        self.assertEquals(9, ones(9))
    def testLarge(self):
        self.assertEquals(12, ones(9901))
    def testIsAllOne(self):
        self.assert_(isAllOne(1111))
        self.assert_(not isAllOne(1112))

def main():
    print ones(int(raw_input()))

if __name__=="__main__":
    #unittest.main(argv=('','-v'))
    main()