CSES - Aalto Competitive Programming 2024 - wk12 - Mon

CSES - Aalto Competitive Programming 2024 - wk12 - Mon - Results

Submission details
Task:	GCD and LCM
Sender:	aalto2024m_002
Submission time:	2024-11-25 17:12:40 +0200
Language:	Python3 (PyPy3)
Status:	READY
Result:	TIME LIMIT EXCEEDED

Test results
test	verdict	time
#1	ACCEPTED	0.04 s	details
#2	ACCEPTED	0.04 s	details
#3	ACCEPTED	0.04 s	details
#4	ACCEPTED	0.04 s	details
#5	ACCEPTED	0.04 s	details
#6	ACCEPTED	0.04 s	details
#7	ACCEPTED	0.04 s	details
#8	ACCEPTED	0.04 s	details
#9	ACCEPTED	0.04 s	details
#10	ACCEPTED	0.04 s	details
#11	ACCEPTED	0.04 s	details
#12	ACCEPTED	0.04 s	details
#13	ACCEPTED	0.05 s	details
#14	ACCEPTED	0.04 s	details
#15	ACCEPTED	0.04 s	details
#16	ACCEPTED	0.05 s	details
#17	ACCEPTED	0.04 s	details
#18	ACCEPTED	0.04 s	details
#19	ACCEPTED	0.04 s	details
#20	ACCEPTED	0.17 s	details
#21	ACCEPTED	0.04 s	details
#22	ACCEPTED	0.04 s	details
#23	ACCEPTED	0.04 s	details
#24	ACCEPTED	0.04 s	details
#25	ACCEPTED	0.04 s	details
#26	ACCEPTED	0.22 s	details
#27	ACCEPTED	0.04 s	details
#28	ACCEPTED	0.04 s	details
#29	ACCEPTED	0.04 s	details
#30	ACCEPTED	0.04 s	details
#31	ACCEPTED	0.06 s	details
#32	ACCEPTED	0.05 s	details
#33	ACCEPTED	0.04 s	details
#34	ACCEPTED	0.05 s	details
#35	ACCEPTED	0.04 s	details
#36	ACCEPTED	0.04 s	details
#37	ACCEPTED	0.04 s	details
#38	ACCEPTED	0.04 s	details
#39	ACCEPTED	0.04 s	details
#40	ACCEPTED	0.04 s	details
#41	ACCEPTED	0.05 s	details
#42	ACCEPTED	0.05 s	details
#43	TIME LIMIT EXCEEDED	--	details
#44	TIME LIMIT EXCEEDED	--	details
#45	TIME LIMIT EXCEEDED	--	details
#46	TIME LIMIT EXCEEDED	--	details
#47	ACCEPTED	0.04 s	details
#48	ACCEPTED	0.04 s	details
#49	ACCEPTED	0.04 s	details
#50	ACCEPTED	0.04 s	details
#51	ACCEPTED	0.04 s	details
#52	ACCEPTED	0.04 s	details
#53	ACCEPTED	0.04 s	details
#54	ACCEPTED	0.04 s	details
#55	ACCEPTED	1.48 s	details
#56	ACCEPTED	1.48 s	details
#57	TIME LIMIT EXCEEDED	--	details
#58	TIME LIMIT EXCEEDED	--	details
#59	TIME LIMIT EXCEEDED	--	details
#60	ACCEPTED	1.49 s	details

Code

import sys
import math

sys.setrecursionlimit(10**6)
def gcd(a, b):
    while b != 0:
        a, b = b, a%b
    return a


def lcm(a, b, g):
    return (a * b) // g


def subset_mul_2(x, n, ss):
    if n == 0:
        return 1, 1
    s = [1]
    d = ss - x[0]
    r = x[0]
    for i in range(n):
        v = len(s)
        for t in range(v):
            k = s[t] * x[i]
            if d >= abs(ss - k):
                d = abs(ss - k)
                r = k
            s.append(k)
    return r, s[-1]

# def subset_mul(x, n, s):
#     if n == 0:
#         return 1, 1
#     total = 1 << n
#     d = s - x[0]
#     r = x[0]
#     m = x[0]
#     for i in range(total):
#         m = 1
#         for j in range(n):
#             if (i & (1 << j)) != 0:
#                 m *= x[j]
#         if d >= abs(s - m):
#             d = abs(s - m)
#             r = m
#     print(s)
#     return r, m


def factors(n):
    f = []
    i = 2
    while i * i <= n:
        if n % i == 0:
            f.append(i)
            n //= i
            while n % i == 0:
                n //= i
                f[-1] *= i
        i += 1
    if n != 1:
        f.append(n)
    return f


a, b = map(int, input().split())
g = gcd(a, b)
l = lcm(a, b, g)
h = l // g
f = factors(h)
# q = subset_mul_2(f, len(f), int(h ** 0.5))
# print(q)
r, fn = subset_mul_2(f, len(f), int(h ** 0.5))

# print(g, l, f, r, fn)
# print(r, g * r)
x, y = g * r, g * (fn // r)
print(min(x, y), max(x, y))

Test details

Test 1

Verdict: ACCEPTED

input
`3 4` view save

correct output
`3 4` view save

user output
`3 4` view save

Test 2

Verdict: ACCEPTED

input
`1 12` view save

correct output
`3 4` view save

user output
`3 4` view save

Test 3

Verdict: ACCEPTED

input
`1 1` view save

correct output
`1 1` view save

user output
`1 1` view save

Test 4

Verdict: ACCEPTED

input
`1 2` view save

correct output
`1 2` view save

user output
`1 2` view save

Test 5

Verdict: ACCEPTED

input
`2 2` view save

correct output
`2 2` view save

user output
`2 2` view save

Test 6

Verdict: ACCEPTED

input
`2 1` view save

correct output
`1 2` view save

user output
`1 2` view save

Test 7

Verdict: ACCEPTED

input
`1 6` view save

correct output
`2 3` view save

user output
`2 3` view save

Test 8

Verdict: ACCEPTED

input
`1 9` view save

correct output
`1 9` view save

user output
`1 9` view save

Test 9

Verdict: ACCEPTED

input
`6 1` view save

correct output
`2 3` view save

user output
`2 3` view save

Test 10

Verdict: ACCEPTED

input
`1 1000000000` view save

correct output
`512 1953125` view save

user output
`512 1953125` view save

Test 11

Verdict: ACCEPTED

input
`4 48` view save

correct output
`12 16` view save

user output
`12 16` view save

Test 12

Verdict: ACCEPTED

input
`2 9` view save

correct output
`2 9` view save

user output
`2 9` view save

Test 13

Verdict: ACCEPTED

input
`9 2` view save

correct output
`2 9` view save

user output
`2 9` view save

Test 14

Verdict: ACCEPTED

input
`742625819 979252649` view save

correct output
`748840261 971126071` view save

user output
`748840261 971126071` view save

Test 15

Verdict: ACCEPTED

input
`742625819 628365177` view save

correct output
`628375693 742613391` view save

user output
`628375693 742613391` view save

Test 16

Verdict: ACCEPTED

input
`59737016 594356392` view save

correct output
`84908056 418159112` view save

user output
`84908056 418159112` view save

Test 17

Verdict: ACCEPTED

input
`627952539 395203065` view save

correct output
`395203065 627952539` view save

user output
`395203065 627952539` view save

Test 18

Verdict: ACCEPTED

input
`454674271 444313814` view save

correct output
`444313814 454674271` view save

user output
`444313814 454674271` view save

Test 19

Verdict: ACCEPTED

input
`547252636 317707623` view save

correct output
`329474572 527707899` view save

user output
`329474572 527707899` view save

Test 20

Verdict: ACCEPTED

input
`848011418 576586631` view save

correct output
`576586631 848011418` view save

user output
`576586631 848011418` view save

Test 21

Verdict: ACCEPTED

input
`348776064 196069730` view save

correct output
`249125760 274497622` view save

user output
`249125760 274497622` view save

Test 22

Verdict: ACCEPTED

input
`237025447 149858613` view save

correct output
`149858613 237025447` view save

user output
`149858613 237025447` view save

Test 23

Verdict: ACCEPTED

input
`726392299 531452772` view save

correct output
`531452772 726392299` view save

user output
`531452772 726392299` view save

Test 24

Verdict: ACCEPTED

input
`59151261 839703616` view save

correct output
`186553977 266247488` view save

user output
`186553977 266247488` view save

Test 25

Verdict: ACCEPTED

input
`291928593 552857636` view save

correct output
`389238124 414643227` view save

user output
`389238124 414643227` view save

Test 26

Verdict: ACCEPTED

input
`421465106 509937555` view save

correct output
`421465106 509937555` view save

user output
`421465106 509937555` view save

Test 27

Verdict: ACCEPTED

input
`902518094 821875115` view save

correct output
`821875115 902518094` view save

user output
`821875115 902518094` view save

Test 28

Verdict: ACCEPTED

input
`301536505 988636664` view save

correct output
`482458408 617897915` view save

user output
`482458408 617897915` view save

Test 29

Verdict: ACCEPTED

input
`802229414 316587683` view save

correct output
`479117567 530091086` view save

user output
`479117567 530091086` view save

Test 30

Verdict: ACCEPTED

input
`326192670 575151518` view save

correct output
`326192670 575151518` view save

user output
`326192670 575151518` view save

Test 31

Verdict: ACCEPTED

input
`548703061 432915082` view save

correct output
`432915082 548703061` view save

user output
`432915082 548703061` view save

Test 32

Verdict: ACCEPTED

input
`969217649 547557803` view save

correct output
`547557803 969217649` view save

user output
`547557803 969217649` view save

Test 33

Verdict: ACCEPTED

input
`33451382 190448754` view save

correct output
`63482918 100354146` view save

user output
`63482918 100354146` view save

Test 34

Verdict: ACCEPTED

input
`910804372 355985662` view save

correct output
`455402186 711971324` view save

user output
`455402186 711971324` view save

Test 35

Verdict: ACCEPTED

input
`557993572 616540429` view save

correct output
`557993572 616540429` view save

user output
`557993572 616540429` view save

Test 36

Verdict: ACCEPTED

input
`999999999 1000000000` view save

correct output
`999999999 1000000000` view save

user output
`999999999 1000000000` view save

Test 37

Verdict: ACCEPTED

input
`999999761 1000000000` view save

correct output
`999999761 1000000000` view save

user output
`999999761 1000000000` view save

Test 38

Verdict: ACCEPTED

input
`1 1000000000` view save

correct output
`512 1953125` view save

user output
`512 1953125` view save

Test 39

Verdict: ACCEPTED

input
`500000000 1000000000` view save

correct output
`500000000 1000000000` view save

user output
`500000000 1000000000` view save

Test 40

Verdict: ACCEPTED

input
`200000000 1000000000` view save

correct output
`200000000 1000000000` view save

user output
`200000000 1000000000` view save

Test 41

Verdict: ACCEPTED

input
`971959530 977699359` view save

correct output
`973924458 975726815` view save

user output
`973924458 975726815` view save

Test 42

Verdict: ACCEPTED

input
`991437195 958491586` view save

correct output
`973924458 975726815` view save

user output
`973924458 975726815` view save

Test 43

Verdict: TIME LIMIT EXCEEDED

input
`999999937 999999929` view save

correct output
`999999929 999999937` view save

user output
(empty)

Test 44

Verdict: TIME LIMIT EXCEEDED

input
`999999751 999999757` view save

correct output
`999999751 999999757` view save

user output
(empty)

Test 45

Verdict: TIME LIMIT EXCEEDED

input
`999999739 999999599` view save

correct output
`999999599 999999739` view save

user output
(empty)

Test 46

Verdict: TIME LIMIT EXCEEDED

input
`999997357 999997403` view save

correct output
`999997357 999997403` view save

user output
(empty)

Test 47

Verdict: ACCEPTED

input
`999999937 2` view save

correct output
`2 999999937` view save

user output
`2 999999937` view save

Test 48

Verdict: ACCEPTED

input
`999999937 5` view save

correct output
`5 999999937` view save

user output
`5 999999937` view save

Test 49

Verdict: ACCEPTED

input
`999999986 2` view save

correct output
`2 999999986` view save

user output
`2 999999986` view save

Test 50

Verdict: ACCEPTED

input
`999999986 3` view save

correct output
`6 499999993` view save

user output
`6 499999993` view save

Test 51

Verdict: ACCEPTED

input
`999999979 2` view save

correct output
`22 90909089` view save

user output
`22 90909089` view save

Test 52

Verdict: ACCEPTED

input
`818181801 3` view save

correct output
`9 272727267` view save

user output
`9 272727267` view save

Test 53

Verdict: ACCEPTED

input
`636363623 5` view save

correct output
`35 90909089` view save

user output
`35 90909089` view save

Test 54

Verdict: ACCEPTED

input
`909090890 12` view save

correct output
`60 181818178` view save

user output
`60 181818178` view save

Test 55

Verdict: ACCEPTED

input
`999999979 999999986` view save

correct output
`999999979 999999986` view save

user output
`999999979 999999986` view save

Test 56

Verdict: ACCEPTED

input
`999999979 999999937` view save

correct output
`999999937 999999979` view save

user output
`999999937 999999979` view save

Test 57

Verdict: TIME LIMIT EXCEEDED

input
`999999986 999999929` view save

correct output
`999999929 999999986` view save

user output
(empty)

Test 58

Verdict: TIME LIMIT EXCEEDED

input
`999999986 999999757` view save

correct output
`999999757 999999986` view save

user output
(empty)

Test 59

Verdict: TIME LIMIT EXCEEDED

input
`999999939 999999929` view save

correct output
`999999929 999999939` view save

user output
(empty)

Test 60

Verdict: ACCEPTED

input
`636363623 999999929` view save

correct output
`636363623 999999929` view save

user output
`636363623 999999929` view save

Aalto Competitive Programming 2024 - wk12 - Mon

GCD and LCM

Code

Test details

Test 1

Test 2

Test 3

Test 4

Test 5

Test 6

Test 7

Test 8

Test 9

Test 10

Test 11

Test 12

Test 13

Test 14

Test 15

Test 16

Test 17

Test 18

Test 19

Test 20

Test 21

Test 22

Test 23

Test 24

Test 25

Test 26

Test 27

Test 28

Test 29

Test 30

Test 31

Test 32

Test 33

Test 34

Test 35

Test 36

Test 37

Test 38

Test 39

Test 40

Test 41

Test 42

Test 43

Test 44

Test 45

Test 46

Test 47

Test 48

Test 49

Test 50

Test 51

Test 52

Test 53

Test 54

Test 55

Test 56

Test 57

Test 58

Test 59

Test 60

Tasks

Submissions (aalto2024m_002)