[Challenge]👮👮👮👮 special number WANTED 👮👮👮👮

Question

Numbers can be written as sum of two squares.

example: 5 = 1**2 + 2**2
10 = 3**2 + 1**2
25 = 4**2 + 3**2

Which ist the lowest number that can be written by two squares on four different ways?

number = a**2 + b**2 = c**2 + d**2 = e**2 + f**2 = g**2 + h**2

(a,b) ne (c,d) ne (e,f) ne (g,h) // ne = not equal

Have fun and send result before 11.may

All languages welcome!

Answer 1

My try with generators:
https://code.sololearn.com/c5IGm0DwpEIf/?ref=app

Answer 2

https://code.sololearn.com/clyYEl12xtw2/?ref=app

Answer 3

My late Python code, at least I made it :

https://code.sololearn.com/c4JWdYckP7hJ/?ref=app

Answer 4

@justine and you made it right too

Answer 5

🙌🙌🙌Yahhhh!!!!!!

Answer 6

The number is 96.
I'll send my code later.
Batman!! Is 96 the answer??

Answer 7

sorry, it's 192, I'll post my code

Answer 8

@christian if this is dirty, what is clean?
winkt jeder Wirtschaftsprüfer durch

Answer 9

hey, guys very sorry. I made a mistake. your correct

Answer 10

@sayan it cant be 5. you need 8 different numbers.
1..8 is not possible since
1**2 + 8**2 > 2**2 + 7**2

1**2 + 9**2 > 3**2 + 8**2 9 not possible

1**2 + 10**2 > 4**2 + 9**2 10 even not possible

Answer 11

@Batman: muss ja, bin doch Steuerberater 😀
I think it would be cleaner when it would do less iterations, for example it should stop when the counter for a number reaches 4. Also the limit increases arbitrarily and then the previous iterations are repeated. But at least it is easy to read 😁

Answer 12

@cristian but there are already some ideas

10**2 is the lowest higher summand one should think about.

Answer 13

@sayan lowest possible higgest summand

Answer 14

ok....heres my py code
##/ No module/##

## my code gives you 1st 20 numbers..

@@ note
@@ BATMAN AND CRISTIAN

LOWEST HIGHER SUMMAND IS 5

https://code.sololearn.com/cXZ0SN1Hxx62/?ref=app

Answer 15

@sayan: if you would have to change the parameters to get the lowest number that can be written by two squares on FIVE different ways, what number would your algorithm generate? And how many seconds would it need? Mine found it in 0.0-0.02 (I ran it couple of times and got values in this range).

Answer 16

dirty, but works ;(

https://code.sololearn.com/c5FZ3ISza2bx/?ref=app

Answer 17

also dirty, but without extra modules

https://code.sololearn.com/cv7qmpc9L8Nx/

Answer 18

yes its 5...
calculating from 10...
u can at most increase the number by 5 to get consecutive correct quad_square-pairs

Answer 19

see my logic ...my code

Answer 20

@@ note
for 1st number that we have
supppos its 10..
it got 4 different pairs..
now whenever u do +5
the total number of numbers is increasing any way...
15--20--25.....
u got sufficient 4 different pairs..

if u increse it each time by other than 5..u will get wrong consecutive correct output...

if u generate 30 ...such numbers
u will not get the first 30...