SuperDualNumBros

SuperDualNumBros.py

#!/usr/bin/python
# SuperDualNumBros v0.9 by CWhy@guokr
# Python3
from math import ceil, sqrt


Min, Max = 2, 99

def getSameSum(nums):
    x, y = nums
    the_sum = x + y
    slist = []
    for i in range(Min, ceil(the_sum/2)):
        j = the_sum - i
        slist.append((i, j))
    return len(slist), slist

def getSameProduct(nums):
    x, y = nums
    the_prod = x * y
    plist = []
    for i in range(Min, ceil(sqrt(the_prod))):
        j = the_prod/i
        if j.is_integer() and j in the_range:
            plist.append((i, int(j)))
    return len(plist), plist


kudk_list = []  # kudk: I know that you know
for x in range(Min, Max+1):
    for y in range(x, Max+1):
        Ns, slist = getSameSum((x, y))
        if Ns > 1:
            plists = map(getSameProduct, slist)
            kudk = all(plist[0] >= 2 for plist in plists)
            if kudk:
                kudk_list.append((x, y))   
# print(kudk_list)

iknow_list = [] # Now I know them
kudk_prod = [x * y for (x,y) in kudk_list]
for p in kudk_prod:
    if kudk_prod.count(p) == 1:
        iknow_list.append(kudk_list[kudk_prod.index(p)])
# print(iknow_list)

iknow2_list = [] # iknow2: I know it, too.
iknow_sum = [x + y for (x,y) in iknow_list]
for s in iknow_sum:
    if iknow_sum.count(s) == 1:
        iknow2_list.append(iknow_list[iknow_sum.index(s)])
print(iknow2_list)

# >> [(4, 13)]