CSES - Aalto Competitive Programming 2024 - wk10 - Wed - Results
Submission details
Task:Gas tank
Sender:aalto2024k_002
Submission time:2024-11-13 17:08:03 +0200
Language:Python3 (PyPy3)
Status:READY
Result:
Test results
testverdicttime
#1ACCEPTED0.05 sdetails
#2ACCEPTED0.05 sdetails
#3ACCEPTED0.05 sdetails
#4ACCEPTED0.05 sdetails
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Code

import math

i = int(input())
tmp = math.floor(math.sqrt(i) / 2.0)

def get_b(a, c):
    A = a
    B = a*a
    C = -c
    subsum = B*B - (4*A*C)
    if subsum < 0:
        return 0, 0
    f = -(B - math.sqrt(subsum)) / (2 * A)
    s = -(B + math.sqrt(subsum)) / (2 * A)
    if f > s:
        return math.floor(f), math.ceil(f)
    return math.floor(s), math.ceil(s)

best_a, best_b = 0, 0
best_vol = 0

for os in range(-1000, 1000):
    a = tmp+os
    if a <= 0:
        continue
    for b in get_b(a, i):
        vol = a*a*b + a*b*b
        if vol <= i and vol > best_vol:
            best_vol = vol
            best_a = a
            best_b = b

print(int(best_a), int(best_b))

Test details

Test 1

Verdict: ACCEPTED

input
8

correct output
2 1

user output
1 2

Test 2

Verdict: ACCEPTED

input
7

correct output
2 1

user output
1 2

Test 3

Verdict: ACCEPTED

input
46

correct output
6 1

user output
1 6

Test 4

Verdict: ACCEPTED

input
28

correct output
4 1

user output
1 4

Test 5

Verdict: ACCEPTED

input
40

correct output
5 1

user output
1 5

Test 6

Verdict: ACCEPTED

input
34

correct output
5 1

user output
1 5

Test 7

Verdict: ACCEPTED

input
39

correct output
5 1

user output
1 5

Test 8

Verdict: ACCEPTED

input
38

correct output
5 1

user output
1 5

Test 9

Verdict: ACCEPTED

input
25

correct output
4 1

user output
1 4

Test 10

Verdict: ACCEPTED

input
26

correct output
4 1

user output
1 4

Test 11

Verdict: ACCEPTED

input
549

correct output
7 6

user output
6 7

Test 12

Verdict: ACCEPTED

input
418

correct output
13 2

user output
2 13

Test 13

Verdict: ACCEPTED

input
436

correct output
6 6

user output
6 6

Test 14

Verdict: ACCEPTED

input
551

correct output
7 6

user output
6 7

Test 15

Verdict: ACCEPTED

input
968

correct output
21 2

user output
2 21

Test 16

Verdict: ACCEPTED

input
222

correct output
14 1

user output
1 14

Test 17

Verdict: ACCEPTED

input
893

correct output
13 4

user output
4 13

Test 18

Verdict: ACCEPTED

input
77

correct output
8 1

user output
1 8

Test 19

Verdict: ACCEPTED

input
874

correct output
29 1

user output
1 29

Test 20

Verdict: ACCEPTED

input
11

correct output
2 1

user output
1 2

Test 21

Verdict: ACCEPTED

input
772

correct output
12 4

user output
4 12

Test 22

Verdict: ACCEPTED

input
181

correct output
5 4

user output
4 5

Test 23

Verdict: ACCEPTED

input
155

correct output
11 1

user output
1 11

Test 24

Verdict: ACCEPTED

input
778

correct output
12 4

user output
4 12

Test 25

Verdict: ACCEPTED

input
514

correct output
15 2

user output
2 15

Test 26

Verdict: ACCEPTED

input
849

correct output
8 7

user output
7 8

Test 27

Verdict: ACCEPTED

input
224

correct output
14 1

user output
1 14

Test 28

Verdict: ACCEPTED

input
295

correct output
11 2

user output
2 11

Test 29

Verdict: ACCEPTED

input
651

correct output
25 1

user output
1 25

Test 30

Verdict: ACCEPTED

input
98

correct output
6 2

user output
2 6

Test 31

Verdict: ACCEPTED

input
588264

correct output
172 18

user output
18 172

Test 32

Verdict: ACCEPTED

input
48736

correct output
80 7

user output
7 80

Test 33

Verdict: ACCEPTED

input
208508

correct output
99 18

user output
18 99

Test 34

Verdict: ACCEPTED

input
517415

correct output
172 16

user output
16 172

Test 35

Verdict: ACCEPTED

input
960234

correct output
290 11

user output
11 290

Test 36

Verdict: ACCEPTED

input
870321

correct output
111 49

user output
49 111

Test 37

Verdict: ACCEPTED

input
308005

correct output
70 40

user output
40 70

Test 38

Verdict: ACCEPTED

input
425818

correct output
652 1

user output
1 652

Test 39

Verdict: ACCEPTED

input
729178

correct output
83 61

user output
61 83

Test 40

Verdict: ACCEPTED

input
863955

correct output
535 3

user output
3 535

Test 41

Verdict: ACCEPTED

input
116086

correct output
340 1

user output
1 340

Test 42

Verdict: ACCEPTED

input
612309

correct output
782 1

user output
1 782

Test 43

Verdict: ACCEPTED

input
375142

correct output
228 7

user output
7 228

Test 44

Verdict: ACCEPTED

input
852178

correct output
161 28

user output
28 161

Test 45

Verdict: ACCEPTED

input
151667

correct output
156 6

user output
6 156

Test 46

Verdict: ACCEPTED

input
196137

correct output
103 16

user output
16 103

Test 47

Verdict: ACCEPTED

input
375254

correct output
612 1

user output
1 612

Test 48

Verdict: ACCEPTED

input
451513

correct output
298 5

user output
5 298

Test 49

Verdict: ACCEPTED

input
942864

correct output
122 46

user output
46 122

Test 50

Verdict: ACCEPTED

input
848035

correct output
215 17

user output
17 215

Test 51

Verdict:

input
727949226

correct output
1876 188

user output
13488 4

Test 52

Verdict:

input
119540561

correct output
395 387

user output
4887 5

Test 53

Verdict:

input
168568700

correct output
447 430

user output
6489 4

Test 54

Verdict:

input
747828096

correct output
2098 158

user output
13671 4

Test 55

Verdict:

input
113886324

correct output
949 113

user output
4770 5

Test 56

Verdict:

input
544092912

correct output
2620 77

user output
11660 4

Test 57

Verdict:

input
112927706

correct output
532 266

user output
5311 4

Test 58

Verdict:

input
562461747

correct output
1803 159

user output
11856 4

Test 59

Verdict:

input
930544437

correct output
7390 17

user output
15250 4

Test 60

Verdict:

input
612603672

correct output
1128 364

user output
12373 4

Test 61

Verdict:

input
575864416073

correct output
7427 5843

user output
379426 4

Test 62

Verdict:

input
942935707814

correct output
63092 236

user output
485522 4

Test 63

Verdict:

input
171264013251

correct output
14433 780

user output
206918 4

Test 64

Verdict:

input
76712165827

correct output
8381 978

user output
138482 4

Test 65

Verdict:

input
161612205399

correct output
7527 2206

user output
201003 4

Test 66

Verdict:

input
641183113758

correct output
50116 254

user output
400367 4

Test 67

Verdict:

input
87822361843

correct output
24538 145

user output
148172 4

Test 68

Verdict:

input
550401843854

correct output
14093 2372

user output
370943 4

Test 69

Verdict:

input
56603972680

correct output
10404 499

user output
118955 4

Test 70

Verdict:

input
991404337870

correct output
109250 83

user output
497844 4

Test 71

Verdict:

input
534149659344

correct output
53496 186

user output
365425 4

Test 72

Verdict:

input
336010906011

correct output
183301 10

user output
289830 4

Test 73

Verdict:

input
871714540470

correct output
214186 19

user output
466826 4

Test 74

Verdict:

input
254659717917

correct output
17240 818

user output
252317 4

Test 75

Verdict:

input
40507166127

correct output
3335 2196

user output
100629 4

Test 76

Verdict:

input
445628406612

correct output
23039 811

user output
333775 4

Test 77

Verdict:

input
822717753419

correct output
39363 524

user output
453516 4

Test 78

Verdict:

input
40410210216

correct output
10096 382

user output
100509 4

Test 79

Verdict:

input
366117794932

correct output
49165 151

user output
302536 4

Test 80

Verdict:

input
657992849714

correct output
11698 3662

user output
405581 4