Submission #1114168

#TimeUsernameProblemLanguageResultExecution timeMemory
1114168vjudge1Nice sequence (IZhO18_sequence)C++17
76 / 100
2062 ms63916 KiB
#include <bits/stdc++.h>

using i64 = long long;

#ifdef DEBUG 
    #include "/home/ahmetalp/Desktop/Workplace/debug.h"
#else
    #define debug(...) void(23)
#endif

constexpr int INF = int(1E9) - 5;
constexpr int C = 1000;

void print(bool s, std::vector<int> x) {
    int n = int(x.size());
    std::cout << n << '\n';
    for (int i = 0; i < n; ++i) {
        std::cout << (s ? -1 : +1) * x[i] << " \n"[i == n - 1];
    }
}

void solve() {
    int N, M;
    std::cin >> N >> M;

    bool swapped = false;
    if (N < M) {
        swapped = true;
        std::swap(N, M);
    }

    if (N % M == 0) {
        std::vector<int> p(N - 1);
        for (int i = 0; i < N - 1; ++i) {
            p[i] = 1;
        }
        print(swapped, p);
    } else {
        std::vector<std::vector<int>> adj;
        auto check = [&](int n) -> std::pair<bool, std::vector<int>> {
            adj.assign(n + 1, {});
            std::vector<int> pre(n + 1), ans(n), ein(n + 1);
            for (int i = 0; i <= n; ++i) {
                if (i - N >= 0) {
                    adj[i].emplace_back(i - N);
                    ++ein[i - N];
                } 
                if (i + M <= n) {
                    adj[i].emplace_back(i + M);
                    ++ein[i + M];
                }
            }

            int cur = 0;
            std::queue<int> que;
            for (int i = 0; i <= n; ++i) {
                if (ein[i] == 0) {
                    pre[i] = (++cur) * C;
                    que.emplace(i);
                }
            }
            while (!que.empty()) {
                int v = que.front();
                que.pop();
                for (auto u : adj[v]) {
                    --ein[u];
                    pre[u] = std::max(pre[u], pre[v] + 1);
                    if (ein[u] == 0) {
                        que.emplace(u);
                    }
                }
            }
            for (int i = n; i >= 0; --i) {
                if (pre[i] == 0) {
                    return {false, {}};
                }
                pre[i] -= pre[0];
            }

            for (int i = 0; i < n; ++i) {
                ans[i] = pre[i + 1] - pre[i];
            }
            return {true, ans};
        };

        int lo = 0, hi = N + M;
        while (lo < hi) {
            int mid = (lo + hi + 1) >> 1;
            if (check(mid).first) {
                lo = mid;
            } else {
                hi = mid - 1;
            }
        }
        print(swapped, check(lo).second);
    }
    
    return;
}

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int TT = 1; std::cin >> TT;
    for (int i = 1; i <= TT; ++i) {
        solve();
    }

    return 0;
}
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