CSES - Putka Open 2025 – 5/5

Submission details
Task:	Yhdistelmät
Sender:	jhuun
Submission time:	2025-11-30 00:43:03 +0200
Language:	C++ (C++17)
Status:	READY
Result:	100

Feedback
group	verdict	score
#1	ACCEPTED	16
#2	ACCEPTED	17
#3	ACCEPTED	29
#4	ACCEPTED	38

Test results
test	verdict	time	group
#1	ACCEPTED	0.00 s	1, 2, 3, 4	details
#2	ACCEPTED	0.01 s	1, 3, 4	details
#3	ACCEPTED	0.00 s	1, 4	details
#4	ACCEPTED	0.00 s	1, 4	details
#5	ACCEPTED	0.00 s	1, 4	details
#6	ACCEPTED	0.00 s	1, 4	details
#7	ACCEPTED	0.00 s	1, 4	details
#8	ACCEPTED	0.00 s	1, 4	details
#9	ACCEPTED	0.00 s	1, 4	details
#10	ACCEPTED	0.00 s	1, 4	details
#11	ACCEPTED	0.00 s	2, 3, 4	details
#12	ACCEPTED	0.00 s	3, 4	details
#13	ACCEPTED	0.01 s	4	details
#14	ACCEPTED	0.01 s	4	details
#15	ACCEPTED	0.01 s	4	details
#16	ACCEPTED	0.01 s	4	details
#17	ACCEPTED	0.01 s	4	details
#18	ACCEPTED	0.01 s	1, 2, 3, 4	details
#19	ACCEPTED	0.01 s	1, 2, 3, 4	details
#20	ACCEPTED	0.01 s	4	details
#21	ACCEPTED	0.01 s	4	details

Code

#include <bits/stdc++.h>

std::vector<std::vector<int64_t>> C;
std::vector<std::vector<int64_t>> A;
constexpr int64_t INF = 1e12;
int64_t s = 0, t;

int64_t bfs(std::vector<int64_t>& P) {
    std::fill(P.begin(), P.end(), -1);
    P[s] = -2;
    std::queue<std::pair<int64_t, int64_t>> q;
    q.push({s, INF});

    while (!q.empty()) {
        const auto [v, f] = q.front();
        q.pop();

        for (const auto w : A[v]) {
            if (P[w] == -1 && C[v][w]) {
                P[w] = v;
                const auto fn = std::min(f, C[v][w]);
                if (w == t) {
                    return fn;
                }
                q.push({w, fn});
            }
        }
    }

    return 0;
}

void dfs(std::vector<bool>& V, int64_t v) {
    V[v] = true;
    for (const auto w : A[v]) {
        if (!V[w] && C[v][w] > 0) {
            dfs(V, w);
        }
    }
}

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(0);
    int n, m;
    std::cin >> n >> m;
    C.resize(m + n + 2, std::vector<int64_t>(m + n + 2));
    A.resize(m + n + 2);
    t = m + n + 1;
    std::vector<int64_t> IP;
    using items_t = __uint128_t;
    using comb_t = std::pair<items_t, int64_t>;
    std::vector<comb_t> CI;
    for (auto i = 1; i <= n; ++i) {
        int64_t p;
        std::cin >> p;
        IP.push_back(p);
        A[m + i].push_back(t);
        A[t].push_back(m + i);
        C[m + i][t] = p;
    }
    for (auto i = 1; i <= m; ++i) {
        comb_t c{};
        int64_t k, x;
        std::cin >> k >> x;
        A[i].push_back(s);
        A[s].push_back(i);
        C[s][i] = x;
        for (auto j = 0; j < k; ++j) {
            int kj;
            std::cin >> kj;
            c.first |= items_t{1} << (kj - 1);
            A[i].push_back(m + kj);
            A[m + kj].push_back(i);
            C[i][m + kj] = INF;
        }
        c.second = x;
        CI.push_back(std::move(c));
    }
    std::vector<int64_t> P(m + n + 2);
    for (int64_t f = bfs(P); f; f = bfs(P)) {
        auto w = t;
        while (w != s) {
            const auto v = P[w];
            C[v][w] -= f;
            C[w][v] += f;
            w = v;
        }
    }
    std::vector<bool> V(m + n + 2);
    dfs(V, s);
    items_t L{};
    int64_t res = 0;
    int64_t count = 0;
    std::vector<int> IL;
    for (auto i = 1; i <= m; ++i) {
        if (V[i]) {
            const auto [l, p] = CI[i - 1];
            L |= l;
            res += p;
        }
    }
    for (; L; L ^= (L & -L)) {
        const auto lsb = static_cast<uint64_t>(L);
        const auto msb = static_cast<uint64_t>(L >> 64);
        const auto next = lsb ? __builtin_ctzll(lsb) : 64 + __builtin_ctzll(msb);
        res -= IP[next];
        ++count;
        IL.push_back(next + 1);
    }
    if (res > 0) {
        std::cout << res << '\n';
        std::cout << count << '\n';
        for (const auto i : IL) std::cout << i << ' ';
        std::cout << '\n';
    } else {
        std::cout << "0\n0\n";
    }
    return 0;
}

Test details

Test 1

Group: 1, 2, 3, 4

Verdict: ACCEPTED

input
`20 20 80 69 91 47 74 75 94 22 100 43...` view save

correct output
`446 11 2 3 5 8 10 13 14 15 17 19 20` view save

user output
`446 11 2 3 5 8 10 13 14 15 17 19 20` view save

Test 2

Group: 1, 3, 4

Verdict: ACCEPTED

input
`20 20 5 42 7 18 55 64 64 83 73 44 22...` view save

correct output
`425 11 1 2 3 4 7 10 13 16 18 19 20` view save

user output
`425 11 1 2 3 4 7 10 13 16 18 19 20` view save

Test 3

Group: 1, 4

Verdict: ACCEPTED

input
`20 20 30 98 55 69 40 3 95 12 64 56 3...` view save

correct output
`284 8 1 3 8 10 15 16 18 19` view save

user output
`284 7 1 3 8 10 15 18 19` view save

Test 4

Group: 1, 4

Verdict: ACCEPTED

input
`20 20 11 44 58 8 16 52 20 43 24 31 4...` view save

correct output
`348 10 2 4 5 7 11 13 15 16 18 20` view save

user output
`348 10 2 4 5 7 11 13 15 16 18 20` view save

Test 5

Group: 1, 4

Verdict: ACCEPTED

input
`20 20 53 44 5 37 88 36 81 47 85 97 3...` view save

correct output
`119 13 1 2 4 8 10 11 13 14 16 17 18 1...` view save

user output
`119 13 1 2 4 8 10 11 13 14 16 17 18 1...` view save

Test 6

Group: 1, 4

Verdict: ACCEPTED

input
`20 20 20 27 75 94 48 62 37 55 49 67 ...` view save

correct output
`478 11 1 2 5 7 10 12 13 15 16 17 18` view save

user output
`478 11 1 2 5 7 10 12 13 15 16 17 18` view save

Test 7

Group: 1, 4

Verdict: ACCEPTED

input
`20 20 32 28 67 72 32 76 53 30 47 67 ...` view save

correct output
`215 10 2 4 5 7 8 9 11 13 16 20` view save

user output
`215 10 2 4 5 7 8 9 11 13 16 20` view save

Test 8

Group: 1, 4

Verdict: ACCEPTED

input
`20 20 39 72 74 79 49 45 73 44 37 4 7...` view save

correct output
`185 13 1 3 5 6 7 8 10 13 14 16 17 18 ...` view save

user output
`185 11 1 3 7 8 10 13 14 16 17 18 20` view save

Test 9

Group: 1, 4

Verdict: ACCEPTED

input
`20 20 41 56 65 78 2 13 17 42 83 76 9...` view save

correct output
`95 11 2 4 5 6 7 8 13 14 17 18 19` view save

user output
`95 11 2 4 5 6 7 8 13 14 17 18 19` view save

Test 10

Group: 1, 4

Verdict: ACCEPTED

input
`20 20 43 1 20 61 25 46 2 18 36 1 85 ...` view save

correct output
`111 8 1 2 3 7 8 10 16 19` view save

user output
`111 8 1 2 3 7 8 10 16 19` view save

Test 11

Group: 2, 3, 4

Verdict: ACCEPTED

input
`100 100 992248 852673 366775 737068 56...` view save

correct output
`30642743 46 3 5 6 9 11 12 15 16 17 18 21 2...` view save

user output
`30642743 46 3 5 6 9 11 12 15 16 17 18 21 2...` view save

Test 12

Group: 3, 4

Verdict: ACCEPTED

input
`100 100 153790 361741 45017 47184 9422...` view save

correct output
`16529629 39 2 3 4 5 10 12 14 17 24 25 26 3...` view save

user output
`16529629 39 2 3 4 5 10 12 14 17 24 25 26 3...` view save

Test 13

Group: 4

Verdict: ACCEPTED

input
`100 100 186797 446409 957173 150683 17...` view save

correct output
`14928280 62 1 2 8 9 10 11 12 14 15 16 17 2...` view save

user output
`14928280 62 1 2 8 9 10 11 12 14 15 16 17 2...` view save

Test 14

Group: 4

Verdict: ACCEPTED

input
`100 100 343213 582494 707357 104682 66...` view save

correct output
`11308944 72 1 3 4 5 6 7 8 9 10 11 12 13 14...` view save

user output
`11308944 72 1 3 4 5 6 7 8 9 10 11 12 13 14...` view save

Test 15

Group: 4

Verdict: ACCEPTED

input
`100 100 922546 12088 805566 351521 644...` view save

correct output
`3311952 10 14 17 26 29 64 65 70 76 83 95` view save

user output
`3311952 10 14 17 26 29 64 65 70 76 83 95` view save

Test 16

Group: 4

Verdict: ACCEPTED

input
`100 100 923042 35929 531316 587665 845...` view save

correct output
`519209 6 2 18 45 61 64 86` view save

user output
`519209 6 2 18 45 61 64 86` view save

Test 17

Group: 4

Verdict: ACCEPTED

input
`100 100 493725 218022 417464 531537 83...` view save

correct output
`1255541 11 16 19 24 29 30 50 60 62 67 74 ...` view save

user output
`1255541 11 16 19 24 29 30 50 60 62 67 74 ...` view save

Test 18

Group: 1, 2, 3, 4

Verdict: ACCEPTED

input
`1 1 2 1 1 1` view save

correct output
`0 0` view save

user output
`0 0` view save

Test 19

Group: 1, 2, 3, 4

Verdict: ACCEPTED

input
`1 1 1 1 2 1` view save

correct output
`1 1 1` view save

user output
`1 1 1` view save

Test 20

Group: 4

Verdict: ACCEPTED

input
`100 100 1000000 1000000 1000000 100000...` view save

correct output
`0 100 1 2 3 4 5 6 7 8 9 10 11 12 13 ...` view save

user output
`0 0` view save

Test 21

Group: 4

Verdict: ACCEPTED

input
`100 100 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...` view save

correct output
`99999900 100 1 2 3 4 5 6 7 8 9 10 11 12 13 ...` view save

user output
`99999900 100 1 2 3 4 5 6 7 8 9 10 11 12 13 ...` view save

Putka Open 2025 – 5/5

Yhdistelmät

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

Tasks

Submissions (jhuun)