CSES - Aalto Competitive Programming 2025 - wk11 - Wed

Submission details
Task:	Hacking hashes
Sender:	hy2025_001
Submission time:	2025-11-19 16:40:32 +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	0.05 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	0.06 s	details
#32	ACCEPTED	0.04 s	details
#33	ACCEPTED	0.04 s	details
#34	ACCEPTED	0.06 s	details
#35	ACCEPTED	0.05 s	details
#36	ACCEPTED	0.06 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	0.06 s	details
#42	ACCEPTED	0.06 s	details
#43	ACCEPTED	0.06 s	details
#44	ACCEPTED	0.06 s	details
#45	ACCEPTED	0.05 s	details
#46	ACCEPTED	0.06 s	details
#47	ACCEPTED	0.06 s	details
#48	ACCEPTED	0.06 s	details
#49	ACCEPTED	0.05 s	details
#50	ACCEPTED	0.06 s	details
#51	ACCEPTED	0.06 s	details
#52	ACCEPTED	0.08 s	details
#53	ACCEPTED	0.07 s	details
#54	ACCEPTED	0.09 s	details
#55	ACCEPTED	0.06 s	details
#56	ACCEPTED	0.07 s	details
#57	ACCEPTED	0.06 s	details
#58	ACCEPTED	0.06 s	details
#59	ACCEPTED	0.07 s	details
#60	ACCEPTED	0.06 s	details
#61	ACCEPTED	0.32 s	details
#62	ACCEPTED	0.18 s	details
#63	ACCEPTED	0.24 s	details
#64	ACCEPTED	0.11 s	details
#65	ACCEPTED	0.47 s	details
#66	ACCEPTED	0.30 s	details
#67	ACCEPTED	0.15 s	details
#68	ACCEPTED	0.33 s	details
#69	ACCEPTED	0.07 s	details
#70	ACCEPTED	0.12 s	details
#71	TIME LIMIT EXCEEDED	--	details
#72	TIME LIMIT EXCEEDED	--	details
#73	ACCEPTED	0.60 s	details
#74	ACCEPTED	0.15 s	details
#75	TIME LIMIT EXCEEDED	--	details
#76	ACCEPTED	0.30 s	details
#77	ACCEPTED	0.89 s	details
#78	ACCEPTED	0.28 s	details
#79	ACCEPTED	0.23 s	details
#80	ACCEPTED	0.07 s	details
#81	ACCEPTED	0.70 s	details
#82	TIME LIMIT EXCEEDED	--	details
#83	TIME LIMIT EXCEEDED	--	details
#84	TIME LIMIT EXCEEDED	--	details
#85	TIME LIMIT EXCEEDED	--	details
#86	TIME LIMIT EXCEEDED	--	details
#87	TIME LIMIT EXCEEDED	--	details
#88	TIME LIMIT EXCEEDED	--	details
#89	ACCEPTED	0.81 s	details
#90	TIME LIMIT EXCEEDED	--	details

Code

import itertools

A, B = map(int, input().split())


def F(s, A, B):
    h = 0
    for c in s:
        h = (h * A + ord(c)) % B
    return h


hashes = {}
letters = [chr(i) for i in range(97, 122)]

for i in range(1, 10):
    for tup in itertools.product(letters, repeat=i):
        s = "".join(tup)
        h = F(s, A, B)
        if h in hashes and hashes[h] != s:
            print(hashes[h], s)
            exit()
        hashes[h] = s

Test details

Test 1

Verdict: ACCEPTED

input
`6 6` view save

correct output
`dxvdzxfqi oheo` view save

user output
`a g` view save

Test 2

Verdict: ACCEPTED

input
`5 10` view save

correct output
`yzzzeszzyc uuhdakc` view save

user output
`a k` view save

Test 3

Verdict: ACCEPTED

input
`5 2` view save

correct output
`oheo yzzzeszzyc` view save

user output
`a c` view save

Test 4

Verdict: ACCEPTED

input
`6 1` view save

correct output
`dxvdzxfqi oheo` view save

user output
`a b` view save

Test 5

Verdict: ACCEPTED

input
`10 10` view save

correct output
`yzzzeszzyc uuhdakc` view save

user output
`a k` view save

Test 6

Verdict: ACCEPTED

input
`3 1` view save

correct output
`dxvdzxfqi oheo` view save

user output
`a b` view save

Test 7

Verdict: ACCEPTED

input
`9 10` view save

correct output
`oheo yzzzeszzyc` view save

user output
`a k` view save

Test 8

Verdict: ACCEPTED

input
`1 3` view save

correct output
`dxvdzxfqi oheo` view save

user output
`a d` view save

Test 9

Verdict: ACCEPTED

input
`9 1` view save

correct output
`dxvdzxfqi oheo` view save

user output
`a b` view save

Test 10

Verdict: ACCEPTED

input
`1 4` view save

correct output
`oheo yzzzeszzyc` view save

user output
`a e` view save

Test 11

Verdict: ACCEPTED

input
`78 30` view save

correct output
`dxvdzxfqi uuhdakc` view save

user output
`g aa` view save

Test 12

Verdict: ACCEPTED

input
`19 7` view save

correct output
`dxvdzxfqi uuhdakc` view save

user output
`a h` view save

Test 13

Verdict: ACCEPTED

input
`16 45` view save

correct output
`yrrkt aihwbdczv` view save

user output
`w aa` view save

Test 14

Verdict: ACCEPTED

input
`78 61` view save

correct output
`oedtdfgv zgivhgayf` view save

user output
`c aa` view save

Test 15

Verdict: ACCEPTED

input
`52 93` view save

correct output
`yzzzeszzyc uuhdakc` view save

user output
`w aa` view save

Test 16

Verdict: ACCEPTED

input
`85 82` view save

correct output
`dxvdzxfqi onbkb` view save

user output
`ad ba` view save

Test 17

Verdict: ACCEPTED

input
`23 33` view save

correct output
`yzzzeszzyc aekmllmqu` view save

user output
`u aa` view save

Test 18

Verdict: ACCEPTED

input
`30 19` view save

correct output
`oheo jftb` view save

user output
`a t` view save

Test 19

Verdict: ACCEPTED

input
`66 8` view save

correct output
`yzzzeszzyc uuhdakc` view save

user output
`a i` view save

Test 20

Verdict: ACCEPTED

input
`10 44` view save

correct output
`uuhdakc gvnyskxly` view save

user output
`c aa` view save

Test 21

Verdict: ACCEPTED

input
`589 888` view save

correct output
`irnrs nvmno` view save

user output
`c ba` view save

Test 22

Verdict: ACCEPTED

input
`49 800` view save

correct output
`irnrs nvmno` view save

user output
`c ba` view save

Test 23

Verdict: ACCEPTED

input
`209 702` view save

correct output
`yzzzeszzyc bpuse` view save

user output
`aa kq` view save

Test 24

Verdict: ACCEPTED

input
`518 670` view save

correct output
`nvmno mgmo` view save

user output
`a ae` view save

Test 25

Verdict: ACCEPTED

input
`961 295` view save

correct output
`aekmllmqu wcpqoadrw` view save

user output
`a ad` view save

Test 26

Verdict: ACCEPTED

input
`871 697` view save

correct output
`xfwgyq eokm` view save

user output
`aa eb` view save

Test 27

Verdict: ACCEPTED

input
`308 714` view save

correct output
`nvmno lcwlpcmzza` view save

user output
`a fa` view save

Test 28

Verdict: ACCEPTED

input
`426 481` view save

correct output
`onbkb kqupmfo` view save

user output
`a id` view save

Test 29

Verdict: ACCEPTED

input
`730 171` view save

correct output
`eqdlmuyo wpvfat` view save

user output
`q aa` view save

Test 30

Verdict: ACCEPTED

input
`864 801` view save

correct output
`wpvfat onbkb` view save

user output
`s fa` view save

Test 31

Verdict: ACCEPTED

input
`6442 9170` view save

correct output
`wgqgje blui` view save

user output
`ak bta` view save

Test 32

Verdict: ACCEPTED

input
`2861 290` view save

correct output
`wpvfat onbkb` view save

user output
`a an` view save

Test 33

Verdict: ACCEPTED

input
`8589 597` view save

correct output
`oheo uuhdakc` view save

user output
`j ja` view save

Test 34

Verdict: ACCEPTED

input
`2486 6897` view save

correct output
`zlscxfnxo ngvkz` view save

user output
`w bga` view save

Test 35

Verdict: ACCEPTED

input
`386 1958` view save

correct output
`vdihr miezzgst` view save

user output
`a anc` view save

Test 36

Verdict: ACCEPTED

input
`4581 4498` view save

correct output
`uxqojd rhvuifulrn` view save

user output
`ax aya` view save

Test 37

Verdict: ACCEPTED

input
`7286 877` view save

correct output
`irnrs iphgzlf` view save

user output
`q ha` view save

Test 38

Verdict: ACCEPTED

input
`9445 1393` view save

correct output
`hdwsfcnq veukbhkw` view save

user output
`ia aag` view save

Test 39

Verdict: ACCEPTED

input
`3848 8971` view save

correct output
`xshrtktoj fcuzyfii` view save

user output
`ax ha` view save

Test 40

Verdict: ACCEPTED

input
`5469 57` view save

correct output
`dxvdzxfqi yzzzeszzyc` view save

user output
`a ag` view save

Test 41

Verdict: ACCEPTED

input
`40770 64402` view save

correct output
`tced hbmnyt` view save

user output
`avs caa` view save

Test 42

Verdict: ACCEPTED

input
`25093 68059` view save

correct output
`ljrc wjxknzhykr` view save

user output
`sag aaoa` view save

Test 43

Verdict: ACCEPTED

input
`37455 79656` view save

correct output
`tppoycpya wviirv` view save

user output
`etg aaaa` view save

Test 44

Verdict: ACCEPTED

input
`11506 49687` view save

correct output
`xaupctgiid jcdd` view save

user output
`w ixa` view save

Test 45

Verdict: ACCEPTED

input
`83486 43255` view save

correct output
`bodw cdmncijoh` view save

user output
`u aba` view save

Test 46

Verdict: ACCEPTED

input
`98903 30455` view save

correct output
`xshrtktoj pofnegkmkq` view save

user output
`aap gca` view save

Test 47

Verdict: ACCEPTED

input
`78385 25806` view save

correct output
`fnyjzygwa zyfhqqpkk` view save

user output
`ala gaf` view save

Test 48

Verdict: ACCEPTED

input
`11350 85178` view save

correct output
`tsgztkzvwc rkra` view save

user output
`aaa ymw` view save

Test 49

Verdict: ACCEPTED

input
`1750 42650` view save

correct output
`rlmle czxwmutnse` view save

user output
`da aaa` view save

Test 50

Verdict: ACCEPTED

input
`30097 47375` view save

correct output
`zlscxfnxo ayfmd` view save

user output
`a wmg` view save

Test 51

Verdict: ACCEPTED

input
`494714 129204` view save

correct output
`czxwmutnse hudvk` view save

user output
`bs qaa` view save

Test 52

Verdict: ACCEPTED

input
`675884 327185` view save

correct output
`rlmle rejxztcu` view save

user output
`bap caaa` view save

Test 53

Verdict: ACCEPTED

input
`823296 823560` view save

correct output
`ratyx aurscmksx` view save

user output
`vy alaa` view save

Test 54

Verdict: ACCEPTED

input
`846854 678908` view save

correct output
`rfpuucjk yjndrg` view save

user output
`aaai cdya` view save

Test 55

Verdict: ACCEPTED

input
`420278 193978` view save

correct output
`begabk sqac` view save

user output
`aaa dxa` view save

Test 56

Verdict: ACCEPTED

input
`93130 695227` view save

correct output
`nkomreccwl dfboyzq` view save

user output
`aak bgsa` view save

Test 57

Verdict: ACCEPTED

input
`984414 95962` view save

correct output
`plsmw rufywewnbq` view save

user output
`k vha` view save

Test 58

Verdict: ACCEPTED

input
`87370 612080` view save

correct output
`psmbxgyf yzwvwyf` view save

user output
`fk kaa` view save

Test 59

Verdict: ACCEPTED

input
`365188 833610` view save

correct output
`jbbjpkxs asruylwnc` view save

user output
`adba baas` view save

Test 60

Verdict: ACCEPTED

input
`924244 804799` view save

correct output
`bxok beqs` view save

user output
`aci taa` view save

Test 61

Verdict: ACCEPTED

input
`3012218 7755483` view save

correct output
`rzhfdn bhig` view save

user output
`clg aaaaa` view save

Test 62

Verdict: ACCEPTED

input
`8254242 8634301` view save

correct output
`gleo mavrtxor` view save

user output
`oab maka` view save

Test 63

Verdict: ACCEPTED

input
`337938 5429289` view save

correct output
`hexlssw zxdfne` view save

user output
`aa rcgm` view save

Test 64

Verdict: ACCEPTED

input
`5545825 4865884` view save

correct output
`copwroka xebbxy` view save

user output
`ar fmca` view save

Test 65

Verdict: ACCEPTED

input
`3795375 7727646` view save

correct output
`rgde yqleban` view save

user output
`pv aovaa` view save

Test 66

Verdict: ACCEPTED

input
`2188983 8702106` view save

correct output
`zmjbhiiqo gyrickzf` view save

user output
`aad vofa` view save

Test 67

Verdict: ACCEPTED

input
`1544663 1956286` view save

correct output
`lwvsjair peplyj` view save

user output
`aa iwgm` view save

Test 68

Verdict: ACCEPTED

input
`5464835 7522941` view save

correct output
`wjctw wqbqsqcdqg` view save

user output
`uaab aasxa` view save

Test 69

Verdict: ACCEPTED

input
`2596718 4049688` view save

correct output
`nvyasakcug bsbyew` view save

user output
`fha baag` view save

Test 70

Verdict: ACCEPTED

input
`2965922 4020437` view save

correct output
`zthes oazfss` view save

user output
`aaa gbya` view save

Test 71

Verdict: TIME LIMIT EXCEEDED

input
`56122287 60624959` view save

correct output
`hgllxkyp oukmzblohw` view save

user output
(empty)

Test 72

Verdict: TIME LIMIT EXCEEDED

input
`42645140 73661194` view save

correct output
`xkdotul jvryawmaj` view save

user output
(empty)

Test 73

Verdict: ACCEPTED

input
`44585330 18926703` view save

correct output
`yqmfko hogdxzgt` view save

user output
`jaxa bayao` view save

Test 74

Verdict: ACCEPTED

input
`56325214 7232406` view save

correct output
`wvmuumpi weyyifgfw` view save

user output
`wae jaha` view save

Test 75

Verdict: TIME LIMIT EXCEEDED

input
`98889561 92098565` view save

correct output
`xcesn xvzzheobbo` view save

user output
(empty)

Test 76

Verdict: ACCEPTED

input
`22701272 5642782` view save

correct output
`lescyxpmpw hkszwirdqk` view save

user output
`q wyfa` view save

Test 77

Verdict: ACCEPTED

input
`91304885 96889971` view save

correct output
`rnve dxgzxms` view save

user output
`min cdaaa` view save

Test 78

Verdict: ACCEPTED

input
`7803372 23247950` view save

correct output
`aofeuxbryn bgcepuzv` view save

user output
`aaaw uysa` view save

Test 79

Verdict: ACCEPTED

input
`89317875 1136575` view save

correct output
`kfdzbbelk esohyirdk` view save

user output
`gaa rafa` view save

Test 80

Verdict: ACCEPTED

input
`1060874 37270195` view save

correct output
`pkkvrpnjgw aoljv` view save

user output
`yav aasa` view save

Test 81

Verdict: ACCEPTED

input
`828199235 320792352` view save

correct output
`cmqjomgda cyptxxyb` view save

user output
`aaaaa bjunb` view save

Test 82

Verdict: TIME LIMIT EXCEEDED

input
`193563111 73343920` view save

correct output
`gtswukro ziuzhijy` view save

user output
(empty)

Test 83

Verdict: TIME LIMIT EXCEEDED

input
`165531091 479126951` view save

correct output
`ozbczatbfr nplek` view save

user output
(empty)

Test 84

Verdict: TIME LIMIT EXCEEDED

input
`835051605 652127789` view save

correct output
`ypkbe jvzy` view save

user output
(empty)

Test 85

Verdict: TIME LIMIT EXCEEDED

input
`551842459 989875543` view save

correct output
`ajtuqsqbs tqboquks` view save

user output
(empty)

Test 86

Verdict: TIME LIMIT EXCEEDED

input
`911411059 873575358` view save

correct output
`bhhhipl bcgsdgu` view save

user output
(empty)

Test 87

Verdict: TIME LIMIT EXCEEDED

input
`239756971 350744380` view save

correct output
`gddvcp osie` view save

user output
(empty)

Test 88

Verdict: TIME LIMIT EXCEEDED

input
`316394140 195182397` view save

correct output
`jthyube jxvfzsh` view save

user output
(empty)

Test 89

Verdict: ACCEPTED

input
`698334027 81615941` view save

correct output
`ikrcixfxr ugacbxbd` view save

user output
`aaaa btllt` view save

Test 90

Verdict: TIME LIMIT EXCEEDED

input
`104725912 462211740` view save

correct output
`alzppvu qlyi` view save

user output
(empty)

Aalto Competitive Programming 2025 - wk11 - Wed

Hacking hashes

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

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Test 16

Test 17

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Test 20

Test 21

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Test 24

Test 25

Test 26

Test 27

Test 28

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Test 33

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Test 37

Test 38

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Test 40

Test 41

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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

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Test 60

Test 61

Test 62

Test 63

Test 64

Test 65

Test 66

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Test 68

Test 69

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Test 71

Test 72

Test 73

Test 74

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Test 76