CSES - Aalto Competitive Programming 2025 - wk10 - Wed

Submission details
Task:	Gas tank
Sender:	aalto25k_002
Submission time:	2025-11-12 17:36:55 +0200
Language:	Python3 (PyPy3)
Status:	READY
Result:	ACCEPTED

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	0.04 s	details
#14	ACCEPTED	0.04 s	details
#15	ACCEPTED	0.04 s	details
#16	ACCEPTED	0.04 s	details
#17	ACCEPTED	0.04 s	details
#18	ACCEPTED	0.04 s	details
#19	ACCEPTED	0.04 s	details
#20	ACCEPTED	0.04 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	0.04 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	0.04 s	details
#32	ACCEPTED	0.04 s	details
#33	ACCEPTED	0.04 s	details
#34	ACCEPTED	0.04 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	0.04 s	details
#42	ACCEPTED	0.05 s	details
#43	ACCEPTED	0.04 s	details
#44	ACCEPTED	0.04 s	details
#45	ACCEPTED	0.04 s	details
#46	ACCEPTED	0.05 s	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	0.06 s	details
#52	ACCEPTED	0.05 s	details
#53	ACCEPTED	0.05 s	details
#54	ACCEPTED	0.06 s	details
#55	ACCEPTED	0.05 s	details
#56	ACCEPTED	0.06 s	details
#57	ACCEPTED	0.06 s	details
#58	ACCEPTED	0.06 s	details
#59	ACCEPTED	0.06 s	details
#60	ACCEPTED	0.06 s	details
#61	ACCEPTED	0.07 s	details
#62	ACCEPTED	0.07 s	details
#63	ACCEPTED	0.06 s	details
#64	ACCEPTED	0.06 s	details
#65	ACCEPTED	0.06 s	details
#66	ACCEPTED	0.07 s	details
#67	ACCEPTED	0.06 s	details
#68	ACCEPTED	0.07 s	details
#69	ACCEPTED	0.07 s	details
#70	ACCEPTED	0.07 s	details
#71	ACCEPTED	0.07 s	details
#72	ACCEPTED	0.06 s	details
#73	ACCEPTED	0.07 s	details
#74	ACCEPTED	0.06 s	details
#75	ACCEPTED	0.06 s	details
#76	ACCEPTED	0.07 s	details
#77	ACCEPTED	0.07 s	details
#78	ACCEPTED	0.06 s	details
#79	ACCEPTED	0.06 s	details
#80	ACCEPTED	0.07 s	details

Code

import math
n = int(input())

a = int(math.sqrt(n)) + 1
b = 1
res = (a**2)*b + (b**2)*a
while res > n:
    a -= 1
    res = (a**2)*b + (b**2)*a
if res == n:
    print(a, end=" ")
    print(b)
else:
    max_ans = res
    best_a = a
    best_b = b
    while a > 0:
        while res <= n:
            b += 1
            res = (a**2)*b + (b**2)*a
            if res <= n and res > max_ans:
                max_ans = res
                best_a = a
                best_b = b
        a -= 1
        res = (a**2)*b + (b**2)*a
        if res <= n and res > max_ans:
            max_ans = res
            best_a = a
            best_b = b

    print(best_a, end=" ")
    print(best_b)

Test details

Test 1

Verdict: ACCEPTED

input
`8` view save

correct output
`2 1` view save

user output
`2 1` view save

Test 2

Verdict: ACCEPTED

input
`7` view save

correct output
`2 1` view save

user output
`2 1` view save

Test 3

Verdict: ACCEPTED

input
`46` view save

correct output
`6 1` view save

user output
`6 1` view save

Test 4

Verdict: ACCEPTED

input
`28` view save

correct output
`4 1` view save

user output
`4 1` view save

Test 5

Verdict: ACCEPTED

input
`40` view save

correct output
`5 1` view save

user output
`5 1` view save

Test 6

Verdict: ACCEPTED

input
`34` view save

correct output
`5 1` view save

user output
`5 1` view save

Test 7

Verdict: ACCEPTED

input
`39` view save

correct output
`5 1` view save

user output
`5 1` view save

Test 8

Verdict: ACCEPTED

input
`38` view save

correct output
`5 1` view save

user output
`5 1` view save

Test 9

Verdict: ACCEPTED

input
`25` view save

correct output
`4 1` view save

user output
`4 1` view save

Test 10

Verdict: ACCEPTED

input
`26` view save

correct output
`4 1` view save

user output
`4 1` view save

Test 11

Verdict: ACCEPTED

input
`549` view save

correct output
`7 6` view save

user output
`7 6` view save

Test 12

Verdict: ACCEPTED

input
`418` view save

correct output
`13 2` view save

user output
`13 2` view save

Test 13

Verdict: ACCEPTED

input
`436` view save

correct output
`6 6` view save

user output
`6 6` view save

Test 14

Verdict: ACCEPTED

input
`551` view save

correct output
`7 6` view save

user output
`7 6` view save

Test 15

Verdict: ACCEPTED

input
`968` view save

correct output
`21 2` view save

user output
`21 2` view save

Test 16

Verdict: ACCEPTED

input
`222` view save

correct output
`14 1` view save

user output
`14 1` view save

Test 17

Verdict: ACCEPTED

input
`893` view save

correct output
`13 4` view save

user output
`13 4` view save

Test 18

Verdict: ACCEPTED

input
`77` view save

correct output
`8 1` view save

user output
`8 1` view save

Test 19

Verdict: ACCEPTED

input
`874` view save

correct output
`29 1` view save

user output
`29 1` view save

Test 20

Verdict: ACCEPTED

input
`11` view save

correct output
`2 1` view save

user output
`2 1` view save

Test 21

Verdict: ACCEPTED

input
`772` view save

correct output
`12 4` view save

user output
`12 4` view save

Test 22

Verdict: ACCEPTED

input
`181` view save

correct output
`5 4` view save

user output
`5 4` view save

Test 23

Verdict: ACCEPTED

input
`155` view save

correct output
`11 1` view save

user output
`11 1` view save

Test 24

Verdict: ACCEPTED

input
`778` view save

correct output
`12 4` view save

user output
`12 4` view save

Test 25

Verdict: ACCEPTED

input
`514` view save

correct output
`15 2` view save

user output
`15 2` view save

Test 26

Verdict: ACCEPTED

input
`849` view save

correct output
`8 7` view save

user output
`8 7` view save

Test 27

Verdict: ACCEPTED

input
`224` view save

correct output
`14 1` view save

user output
`14 1` view save

Test 28

Verdict: ACCEPTED

input
`295` view save

correct output
`11 2` view save

user output
`11 2` view save

Test 29

Verdict: ACCEPTED

input
`651` view save

correct output
`25 1` view save

user output
`25 1` view save

Test 30

Verdict: ACCEPTED

input
`98` view save

correct output
`6 2` view save

user output
`6 2` view save

Test 31

Verdict: ACCEPTED

input
`588264` view save

correct output
`172 18` view save

user output
`172 18` view save

Test 32

Verdict: ACCEPTED

input
`48736` view save

correct output
`80 7` view save

user output
`80 7` view save

Test 33

Verdict: ACCEPTED

input
`208508` view save

correct output
`99 18` view save

user output
`99 18` view save

Test 34

Verdict: ACCEPTED

input
`517415` view save

correct output
`172 16` view save

user output
`172 16` view save

Test 35

Verdict: ACCEPTED

input
`960234` view save

correct output
`290 11` view save

user output
`290 11` view save

Test 36

Verdict: ACCEPTED

input
`870321` view save

correct output
`111 49` view save

user output
`111 49` view save

Test 37

Verdict: ACCEPTED

input
`308005` view save

correct output
`70 40` view save

user output
`70 40` view save

Test 38

Verdict: ACCEPTED

input
`425818` view save

correct output
`652 1` view save

user output
`652 1` view save

Test 39

Verdict: ACCEPTED

input
`729178` view save

correct output
`83 61` view save

user output
`83 61` view save

Test 40

Verdict: ACCEPTED

input
`863955` view save

correct output
`535 3` view save

user output
`535 3` view save

Test 41

Verdict: ACCEPTED

input
`116086` view save

correct output
`340 1` view save

user output
`340 1` view save

Test 42

Verdict: ACCEPTED

input
`612309` view save

correct output
`782 1` view save

user output
`782 1` view save

Test 43

Verdict: ACCEPTED

input
`375142` view save

correct output
`228 7` view save

user output
`228 7` view save

Test 44

Verdict: ACCEPTED

input
`852178` view save

correct output
`161 28` view save

user output
`161 28` view save

Test 45

Verdict: ACCEPTED

input
`151667` view save

correct output
`156 6` view save

user output
`156 6` view save

Test 46

Verdict: ACCEPTED

input
`196137` view save

correct output
`103 16` view save

user output
`103 16` view save

Test 47

Verdict: ACCEPTED

input
`375254` view save

correct output
`612 1` view save

user output
`612 1` view save

Test 48

Verdict: ACCEPTED

input
`451513` view save

correct output
`298 5` view save

user output
`298 5` view save

Test 49

Verdict: ACCEPTED

input
`942864` view save

correct output
`122 46` view save

user output
`122 46` view save

Test 50

Verdict: ACCEPTED

input
`848035` view save

correct output
`215 17` view save

user output
`215 17` view save

Test 51

Verdict: ACCEPTED

input
`727949226` view save

correct output
`1876 188` view save

user output
`1876 188` view save

Test 52

Verdict: ACCEPTED

input
`119540561` view save

correct output
`395 387` view save

user output
`395 387` view save

Test 53

Verdict: ACCEPTED

input
`168568700` view save

correct output
`447 430` view save

user output
`447 430` view save

Test 54

Verdict: ACCEPTED

input
`747828096` view save

correct output
`2098 158` view save

user output
`2098 158` view save

Test 55

Verdict: ACCEPTED

input
`113886324` view save

correct output
`949 113` view save

user output
`949 113` view save

Test 56

Verdict: ACCEPTED

input
`544092912` view save

correct output
`2620 77` view save

user output
`2620 77` view save

Test 57

Verdict: ACCEPTED

input
`112927706` view save

correct output
`532 266` view save

user output
`532 266` view save

Test 58

Verdict: ACCEPTED

input
`562461747` view save

correct output
`1803 159` view save

user output
`1803 159` view save

Test 59

Verdict: ACCEPTED

input
`930544437` view save

correct output
`7390 17` view save

user output
`7390 17` view save

Test 60

Verdict: ACCEPTED

input
`612603672` view save

correct output
`1128 364` view save

user output
`1128 364` view save

Test 61

Verdict: ACCEPTED

input
`575864416073` view save

correct output
`7427 5843` view save

user output
`7427 5843` view save

Test 62

Verdict: ACCEPTED

input
`942935707814` view save

correct output
`63092 236` view save

user output
`63092 236` view save

Test 63

Verdict: ACCEPTED

input
`171264013251` view save

correct output
`14433 780` view save

user output
`14433 780` view save

Test 64

Verdict: ACCEPTED

input
`76712165827` view save

correct output
`8381 978` view save

user output
`8381 978` view save

Test 65

Verdict: ACCEPTED

input
`161612205399` view save

correct output
`7527 2206` view save

user output
`7527 2206` view save

Test 66

Verdict: ACCEPTED

input
`641183113758` view save

correct output
`50116 254` view save

user output
`50116 254` view save

Test 67

Verdict: ACCEPTED

input
`87822361843` view save

correct output
`24538 145` view save

user output
`24538 145` view save

Test 68

Verdict: ACCEPTED

input
`550401843854` view save

correct output
`14093 2372` view save

user output
`14093 2372` view save

Test 69

Verdict: ACCEPTED

input
`56603972680` view save

correct output
`10404 499` view save

user output
`10404 499` view save

Test 70

Verdict: ACCEPTED

input
`991404337870` view save

correct output
`109250 83` view save

user output
`109250 83` view save

Test 71

Verdict: ACCEPTED

input
`534149659344` view save

correct output
`53496 186` view save

user output
`53496 186` view save

Test 72

Verdict: ACCEPTED

input
`336010906011` view save

correct output
`183301 10` view save

user output
`183301 10` view save

Test 73

Verdict: ACCEPTED

input
`871714540470` view save

correct output
`214186 19` view save

user output
`214186 19` view save

Test 74

Verdict: ACCEPTED

input
`254659717917` view save

correct output
`17240 818` view save

user output
`17240 818` view save

Test 75

Verdict: ACCEPTED

input
`40507166127` view save

correct output
`3335 2196` view save

user output
`3335 2196` view save

Test 76

Verdict: ACCEPTED

input
`445628406612` view save

correct output
`23039 811` view save

user output
`23039 811` view save

Test 77

Verdict: ACCEPTED

input
`822717753419` view save

correct output
`39363 524` view save

user output
`39363 524` view save

Test 78

Verdict: ACCEPTED

input
`40410210216` view save

correct output
`10096 382` view save

user output
`10096 382` view save

Test 79

Verdict: ACCEPTED

input
`366117794932` view save

correct output
`49165 151` view save

user output
`49165 151` view save

Test 80

Verdict: ACCEPTED

input
`657992849714` view save

correct output
`11698 3662` view save

user output
`11698 3662` view save

Aalto Competitive Programming 2025 - wk10 - Wed

Gas tank

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

Test 61

Test 62

Test 63

Test 64

Test 65

Test 66

Test 67

Test 68

Test 69

Test 70

Test 71

Test 72

Test 73

Test 74

Test 75

Test 76