CSES - Putka Open 2025 – 4/5

Submission details
Task:	Merkkijonot
Sender:	Metabolix
Submission time:	2025-11-13 19:23:19 +0200
Language:	C++ (C++20)
Status:	READY
Result:	18

Feedback
group	verdict	score
#1	ACCEPTED	18
#2	WRONG ANSWER	0
#3	WRONG ANSWER	0
#4	WRONG ANSWER	0
#5	WRONG ANSWER	0

Test results
test	verdict	time	group
#1	ACCEPTED	0.00 s	1, 2, 3, 4, 5	details
#2	ACCEPTED	0.01 s	2, 3, 4, 5	details
#3	ACCEPTED	0.00 s	1, 2, 3, 4, 5	details
#4	ACCEPTED	0.00 s	1, 2, 3, 4, 5	details
#5	ACCEPTED	0.00 s	1, 2, 3, 4, 5	details
#6	ACCEPTED	0.00 s	1, 2, 3, 4, 5	details
#7	ACCEPTED	0.01 s	1, 2, 3, 4, 5	details
#8	ACCEPTED	0.00 s	1, 2, 3, 4, 5	details
#9	ACCEPTED	0.01 s	1, 2, 3, 4, 5	details
#10	ACCEPTED	0.00 s	1, 2, 3, 4, 5	details
#11	ACCEPTED	0.00 s	2, 3, 4, 5	details
#12	ACCEPTED	0.01 s	2, 3, 4, 5	details
#13	ACCEPTED	0.03 s	2, 3, 4, 5	details
#14	ACCEPTED	0.03 s	2, 3, 4, 5	details
#15	ACCEPTED	0.00 s	2, 3, 4, 5	details
#16	ACCEPTED	0.01 s	2, 3, 4, 5	details
#17	WRONG ANSWER	0.01 s	2, 3, 4, 5	details
#18	ACCEPTED	0.01 s	2, 3, 4, 5	details
#19	ACCEPTED	0.00 s	3, 4, 5	details
#20	WRONG ANSWER	0.06 s	3, 4, 5	details
#21	WRONG ANSWER	0.08 s	3, 4, 5	details
#22	WRONG ANSWER	0.07 s	3, 4, 5	details
#23	ACCEPTED	0.00 s	3, 4, 5	details
#24	WRONG ANSWER	0.10 s	3, 4, 5	details
#25	WRONG ANSWER	0.01 s	3, 4, 5	details
#26	WRONG ANSWER	0.02 s	3, 4, 5	details
#27	ACCEPTED	0.00 s	4, 5	details
#28	WRONG ANSWER	0.10 s	4, 5	details
#29	WRONG ANSWER	0.33 s	4, 5	details
#30	WRONG ANSWER	0.23 s	4, 5	details
#31	ACCEPTED	0.00 s	4, 5	details
#32	WRONG ANSWER	0.37 s	4, 5	details
#33	WRONG ANSWER	0.03 s	4, 5	details
#34	WRONG ANSWER	0.07 s	4, 5	details
#35	ACCEPTED	0.00 s	5	details
#36	WRONG ANSWER	0.18 s	5	details
#37	WRONG ANSWER	0.47 s	5	details
#38	WRONG ANSWER	0.39 s	5	details
#39	ACCEPTED	0.00 s	5	details
#40	WRONG ANSWER	0.64 s	5	details
#41	WRONG ANSWER	0.04 s	5	details
#42	WRONG ANSWER	0.11 s	5	details

Code

#include <bits/stdc++.h>

using namespace std;

const long MOD = 1'000'000'007;

int n, m;
string s;

typedef unordered_map<uint64_t, uint64_t> määrät_t;
typedef unordered_map<uint64_t, määrät_t> kaaret_t;
kaaret_t kaaret;

void luo_kaaret(uint64_t tila) {
    if (kaaret.count(tila)) {
        return;
    }
    for (char c = 'a'; c <= 'z'; ++c) {
        uint64_t uusi_tila = 0;
        if ((s[0] == c)) {
            uusi_tila |= (1ULL << 0);
        }
        for (int i = 0; i < m-1; ++i) {
            if (((tila >> i) & 1) && s[i + 1] == c) {
                uusi_tila |= (1ULL << (i + 1));
            }
        }
        if ((tila >> (m-1)) & 1) {
            for (int i = 0; i < m; ++i) {
                if (s[i] == c) {
                    uusi_tila |= (1ULL << i);
                }
            }
        }
        if (uusi_tila) {
            kaaret[tila][uusi_tila] += 1;
            if (kaaret[tila][uusi_tila] > 1) {
                cerr << "varoitus: moninkertainen kaari tilasta " << tila << " tilaan " << uusi_tila << "\n";
            }
            luo_kaaret(uusi_tila);
        }
    }
}

int main() {
    cin >> n >> m;
    cin >> s;

    luo_kaaret(1ULL << 0);

    määrät_t tulos;
    tulos[1ULL << 0] = 1;
    n -= 1; // lähtömerkki on jo asetettu

    while (n) {
        // Jos tämä bitti kuuluu summaan, edetään näitä kaaria
        if (n & 1) {
            n -= 1;
            määrät_t seuraava;
            for (auto& [tila0, määrä0] : tulos) {
                for (auto& [tila1, määrä01] : kaaret[tila0]) {
                    seuraava[tila1] += määrä0 * määrä01 % MOD;
                }
            }
            tulos = move(seuraava);
        }
        // Kerrotaan kaaren pituus kahdella
        if (n) {
            n >>= 1;
            kaaret_t kaksoiskaaret;
            for (auto& [tila0, mappi] : kaaret) {
                for (auto& [tila1, määrä01] : mappi) {
                    for (auto& [tila2, määrä12] : kaaret[tila1]) {
                        kaksoiskaaret[tila0][tila2] += määrä01 * määrä12 % MOD;
                    }
                }
            }
            kaaret = move(kaksoiskaaret);
        }
    }

    // Voittotilat ovat ne, joissa leima päättyy
    long vastaus = 0;
    for (auto& [tila, määrä] : tulos) {
        if (tila & (1ULL << (m - 1))) {
            vastaus += määrä;
            if (vastaus > MOD) {
                vastaus %= MOD;
            }
        }
    }
    cout << vastaus << "\n";
    return 0;
}

Test details

Test 1

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

input
`1 1 a` view save

correct output
`1` view save

user output
`1` view save

Test 2

Group: 2, 3, 4, 5

Verdict: ACCEPTED

input
`20 20 ssxfykmuzljmwgyvldnu` view save

correct output
`1` view save

user output
`1` view save

Test 3

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

input
`20 10 aaaaaaaaaa` view save

correct output
`1` view save

user output
`1` view save

Test 4

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

input
`20 10 aabbbaaaab` view save

correct output
`1532` view save

user output
`1532` view save

Test 5

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

input
`20 10 aabbacbdca` view save

correct output
`1542` view save

user output
`1542` view save

Test 6

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

input
`20 10 ztknszhrby` view save

correct output
`3261` view save

user output
`3261` view save

Test 7

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

input
`20 1 a` view save

correct output
`1` view save

user output
`1` view save

Test 8

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

input
`20 10 aabbbbbbba` view save

correct output
`1689` view save

user output
`1689` view save

Test 9

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

input
`20 8 abxabyab` view save

correct output
`8619` view save

user output
`8619` view save

Test 10

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

input
`20 10 ababababab` view save

correct output
`509` view save

user output
`509` view save

Test 11

Group: 2, 3, 4, 5

Verdict: ACCEPTED

input
`100 50 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa...` view save

correct output
`1` view save

user output
`1` view save

Test 12

Group: 2, 3, 4, 5

Verdict: ACCEPTED

input
`100 50 bbaaabbbbbabbbbabababababbbaab...` view save

correct output
`511493117` view save

user output
`511493117` view save

Test 13

Group: 2, 3, 4, 5

Verdict: ACCEPTED

input
`100 50 addabbbbbadddccadcabaacbbbaabd...` view save

correct output
`618572722` view save

user output
`618572722` view save

Test 14

Group: 2, 3, 4, 5

Verdict: ACCEPTED

input
`100 50 rrdumiqrjewanjplbyvkaytbcyzbyl...` view save

correct output
`35126431` view save

user output
`35126431` view save

Test 15

Group: 2, 3, 4, 5

Verdict: ACCEPTED

input
`100 1 a` view save

correct output
`1` view save

user output
`1` view save

Test 16

Group: 2, 3, 4, 5

Verdict: ACCEPTED

input
`100 50 aabbbbbbbbbbbbbbbbbbbbbbbbbbbb...` view save

correct output
`460606355` view save

user output
`460606355` view save

Test 17

Group: 2, 3, 4, 5

Verdict: WRONG ANSWER

input
`100 23 aybabtuxaybabtuyaybabtu` view save

correct output
`342213037` view save

user output
`848149017` view save

Feedback: Incorrect character on line 1 col 1: expected "342213037", got "848149017"

Test 18

Group: 2, 3, 4, 5

Verdict: ACCEPTED

input
`100 50 ababababababababababababababab...` view save

correct output
`775006564` view save

user output
`775006564` view save

Test 19

Group: 3, 4, 5

Verdict: ACCEPTED

input
`1000 50 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa...` view save

correct output
`1` view save

user output
`1` view save

Test 20

Group: 3, 4, 5

Verdict: WRONG ANSWER

input
`1000 50 bbabaabbabbbaaaaaaaaaababaabbb...` view save

correct output
`911592620` view save

user output
`901131764` view save

Feedback: Incorrect character on line 1 col 2: expected "911592620", got "901131764"

Test 21

Group: 3, 4, 5

Verdict: WRONG ANSWER

input
`1000 50 cacabdddcbdadabdcbdddbdddbaccb...` view save

correct output
`12869296` view save

user output
`319392931` view save

Feedback: Incorrect character on line 1 col 1: expected "12869296", got "319392931"

Test 22

Group: 3, 4, 5

Verdict: WRONG ANSWER

input
`1000 50 tqoyadbshyehwcwaxbtbsqtaswkyet...` view save

correct output
`741984969` view save

user output
`18249434` view save

Feedback: Incorrect character on line 1 col 1: expected "741984969", got "18249434"

Test 23

Group: 3, 4, 5

Verdict: ACCEPTED

input
`1000 1 a` view save

correct output
`1` view save

user output
`1` view save

Test 24

Group: 3, 4, 5

Verdict: WRONG ANSWER

input
`1000 50 aabbbbbbbbbbbbbbbbbbbbbbbbbbbb...` view save

correct output
`599950419` view save

user output
`46180903` view save

Feedback: Incorrect character on line 1 col 1: expected "599950419", got "46180903"

Test 25

Group: 3, 4, 5

Verdict: WRONG ANSWER

input
`1000 23 aybabtuxaybabtuyaybabtu` view save

correct output
`548809016` view save

user output
`232589115` view save

Feedback: Incorrect character on line 1 col 1: expected "548809016", got "232589115"

Test 26

Group: 3, 4, 5

Verdict: WRONG ANSWER

input
`1000 50 ababababababababababababababab...` view save

correct output
`765799780` view save

user output
`835977393` view save

Feedback: Incorrect character on line 1 col 1: expected "765799780", got "835977393"

Test 27

Group: 4, 5

Verdict: ACCEPTED

input
`1000000 50 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa...` view save

correct output
`1` view save

user output
`1` view save

Test 28

Group: 4, 5

Verdict: WRONG ANSWER

input
`1000000 50 bbaababbaaabbabababbaaaaaabbaa...` view save

correct output
`514073453` view save

user output
`848985749` view save

Feedback: Incorrect character on line 1 col 1: expected "514073453", got "848985749"

Test 29

Group: 4, 5

Verdict: WRONG ANSWER

input
`1000000 50 aabccabbbbabccabcdcdadbcdccdac...` view save

correct output
`438094288` view save

user output
`206073258` view save

Feedback: Incorrect character on line 1 col 1: expected "438094288", got "206073258"

Test 30

Group: 4, 5

Verdict: WRONG ANSWER

input
`1000000 50 yzfzimxrxfukhlkrtaylohyuqkupsn...` view save

correct output
`905445077` view save

user output
`294777605` view save

Feedback: Incorrect character on line 1 col 1: expected "905445077", got "294777605"

Test 31

Group: 4, 5

Verdict: ACCEPTED

input
`1000000 1 a` view save

correct output
`1` view save

user output
`1` view save

Test 32

Group: 4, 5

Verdict: WRONG ANSWER

input
`1000000 50 aabbbbbbbbbbbbbbbbbbbbbbbbbbbb...` view save

correct output
`280596224` view save

user output
`261698934` view save

Feedback: Incorrect character on line 1 col 2: expected "280596224", got "261698934"

Test 33

Group: 4, 5

Verdict: WRONG ANSWER

input
`1000000 23 aybabtuxaybabtuyaybabtu` view save

correct output
`268144314` view save

user output
`47983215` view save

Feedback: Incorrect character on line 1 col 1: expected "268144314", got "47983215"

Test 34

Group: 4, 5

Verdict: WRONG ANSWER

input
`1000000 50 ababababababababababababababab...` view save

correct output
`655244665` view save

user output
`992664175` view save

Feedback: Incorrect character on line 1 col 1: expected "655244665", got "992664175"

Test 35

Group: 5

Verdict: ACCEPTED

input
`1000000000 50 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa...` view save

correct output
`1` view save

user output
`1` view save

Test 36

Group: 5

Verdict: WRONG ANSWER

input
`1000000000 50 abbbaabbaaaaabbbbabbabbaaaaaba...` view save

correct output
`911059863` view save

user output
`171401495` view save

Feedback: Incorrect character on line 1 col 1: expected "911059863", got "171401495"

Test 37

Group: 5

Verdict: WRONG ANSWER

input
`1000000000 50 cbabbcaadabbcabbdbdabbbcccbdca...` view save

correct output
`994268014` view save

user output
`891412694` view save

Feedback: Incorrect character on line 1 col 1: expected "994268014", got "891412694"

Test 38

Group: 5

Verdict: WRONG ANSWER

input
`1000000000 50 pehyicejeninplaczwezhahmbhwfwi...` view save

correct output
`837165971` view save

user output
`434466033` view save

Feedback: Incorrect character on line 1 col 1: expected "837165971", got "434466033"

Test 39

Group: 5

Verdict: ACCEPTED

input
`1000000000 1 a` view save

correct output
`1` view save

user output
`1` view save

Test 40

Group: 5

Verdict: WRONG ANSWER

input
`1000000000 50 aabbbbbbbbbbbbbbbbbbbbbbbbbbbb...` view save

correct output
`114333489` view save

user output
`397166116` view save

Feedback: Incorrect character on line 1 col 1: expected "114333489", got "397166116"

Test 41

Group: 5

Verdict: WRONG ANSWER

input
`1000000000 23 aybabtuxaybabtuyaybabtu` view save

correct output
`628064772` view save

user output
`423040978` view save

Feedback: Incorrect character on line 1 col 1: expected "628064772", got "423040978"

Test 42

Group: 5

Verdict: WRONG ANSWER

input
`1000000000 50 ababababababababababababababab...` view save

correct output
`802946327` view save

user output
`609911068` view save

Feedback: Incorrect character on line 1 col 1: expected "802946327", got "609911068"

Putka Open 2025 – 4/5

Merkkijonot

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

Tasks

Submissions (Metabolix)