sol3(600851475143)


In [28]:



Out[28]:
6857

In [31]:
tmp  = range(1,100)
tmp[1] = 100
tmp[1]
tmp[0]


Out[31]:
1

In [27]:
def sol3(tar):
    i, n = 3,tar
    while True:
        if 0 == n % i:
            if odd_prime(i):
                while 0 == n % i:
                    n /= i
                if odd_prime(n):
                    return n
        i += 2

In [26]:
def odd_prime(n):
    i = 3
    while i*i <= n :
        if 0 == n % i:
            return False 
        else :
            i += 2
    return True

In [20]:
3 // 2


Out[20]:
1

In [14]:
def sol2(lim):
    a,b,sumi = 1,0,0
    while a < lim:
        tmp = a
        a += b
        b = tmp
        if 0 == a % 2:
            sumi += a
    return sumi

In [2]:
def sol1(lim) :
    return sum(xrange(3,lim,3)) + sum(xrange(5,lim,5)) - sum (xrange(15,lim,15))

In [38]:
def sieve (lim) :
    primes = [True]*lim
    llim = int(math.sqrt(lim))
    res = 2
    for i in xrange(3,llim,2):
        if primes[i] :
            for j in xrange(i*i,lim,i*2):
                primes[j] = False
            res += i
    if llim % 2 == 0 :
        hlim = llim + 1
    else :
        hlim = llim + 2
    for i in xrange(hlim, lim,2):
        if primes[i]:
            res += i
    return res

In [19]:
def sol1 (lim):
    return sum(xrange(3,lim,3)) + sum(xrange(5,lim,5)) - sum(xrange(15,lim,15))

In [15]:
import time

In [5]:
sol1(1000)


Out[5]:
233168

In [33]:
def timex (f,x):
    start = time.time()
    tmp = f(x)
    end = time.time()
    print ("elapsed time : ", end-start)
    return tmp

In [8]:
timex(sol1,1000)


('elapsed time : ', -1.7881393432617188e-05)
Out[8]:
233168

In [9]:
isqrt(100)


---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-9-ebc065afba20> in <module>()
----> 1 isqrt(100)

NameError: name 'isqrt' is not defined

In [10]:
ceiling(sqrt(10))


---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-10-c2d526dee2e4> in <module>()
----> 1 ceiling(sqrt(10))

NameError: name 'ceiling' is not defined

In [11]:
ceil(sqrt(10))


---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-11-dbf98077beb7> in <module>()
----> 1 ceil(sqrt(10))

NameError: name 'ceil' is not defined

In [12]:
floor(123)


---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-12-7b2c4503f5f9> in <module>()
----> 1 floor(123)

NameError: name 'floor' is not defined

In [13]:
round (123)


Out[13]:
123.0

In [ ]: