Submission #1254036

#	Time	Username	Problem	Language	Result	Execution time	Memory
1254036		MisterReaper	Longest beautiful sequence (IZhO17_subsequence)	C++20	100 / 100	3449 ms	129324 KiB

subsequence

#include <bits/stdc++.h>

using i64 = long long;

#ifdef DEBUG
    #include "debug.h"
#else
    #define debug(...) void(23)
#endif

constexpr int MAX = 1024;

template<typename T>
bool chmax(T& lhs, T rhs) {
    if (lhs < rhs) {
        lhs = rhs;
        return true;
    }
    return false;
}

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

    int N;
    std::cin >> N;
    std::vector<int> A(N), K(N);
    for (int i = 0; i < N; ++i) {
        std::cin >> A[i];
    }
    for (int i = 0; i < N; ++i) {
        std::cin >> K[i];
    }

    #ifdef DEBUG
        for (int i = 0; i < N; ++i) {
            for (int j = i + 1; j < N; ++j) {
                if (__builtin_popcount(A[i] & A[j]) == K[j]) {
                    debug(i, j);
                    debug(i, std::bitset<20>(A[i]).to_string());
                    debug(j, std::bitset<20>(A[j]).to_string());
                    int il = A[i] >> 10;
                    int ir = A[i] & 1023;
                    int jl = A[j] >> 10;
                    int jr = A[j] & 1023;
                    debug(i, il);
                    debug(i, ir);
                    debug(j, jl);
                    debug(j, jr);
                    debug(il & jl, __builtin_popcount(il & jl));
                    debug(ir & jr, __builtin_popcount(ir & jr));
                }
            }
        }
    #endif

    std::vector<std::pair<int, int>> dp(N, {1, -1});
    std::vector bst(MAX, std::vector(MAX, std::vector<std::pair<int, int>>(11, {1, -1})));
    std::vector popcnt(MAX, std::vector<int>(MAX));
    for (int i = 0; i < MAX; ++i) {
        for (int j = 0; j < MAX; ++j) {
            popcnt[i][j] = __builtin_popcount(i & j);
        }
    }
    for (int i = 0; i < N; ++i) {
        int l = A[i] >> 10;
        int r = A[i] & 1023;
        debug(i, l, r);
        for (int j = 0; j < MAX; ++j) {
            int need = K[i] - popcnt[l][j];
            if (need < 0 || need > 10) {
                continue;
            }
            chmax(dp[i], bst[j][r][need]);
        }
        debug(i, dp[i]);
        for (int j = 0; j < MAX; ++j) {
            int used = popcnt[j][r];
            chmax(bst[l][j][used], std::pair{dp[i].first + 1, i});
        }
    }

    auto it = std::max_element(dp.begin(), dp.end());

    int ans = it->first;
    int p = it - dp.begin();
    std::vector<int> vec;
    for (int i = 0; i < ans; ++i) {
        vec.emplace_back(p);
        p = dp[p].second;
    }

    std::reverse(vec.begin(), vec.end());

    std::cout << ans << '\n';
    assert(ans == vec.size());
    for (auto i : vec) {
        std::cout << i + 1 << " \n"[i == vec.back()];
    }

    return 0;
}

• Subtask 1: 7 / 7
• Subtask 2: 16 / 16
• Subtask 3: 17 / 17
• Subtask 4: 60 / 60