#include "Anna.h"

#ifdef LOCAL
#include "fuck.h"
#else
constexpr int SEED_DLT = 13;
#endif

#include <bits/stdc++.h>

namespace {
    using u64 = uint64_t;
    constexpr int n = 8;

    std::vector<u64> gen() {
        constexpr int K = 64;
        std::mt19937_64 rnd(2086 + SEED_DLT);
        std::vector<u64> vec(K);
        std::vector<u64> res;
        while (res.size() < K) {
            u64 val0 = rnd();
            u64 val = val0;
            for (int j = 0; j < K; j++) {
                if (val & 1ULL << j) {
                    if (vec[j]) {
                        val ^= vec[j];
                    } else {
                        vec[j] = val;
                        res.push_back(val0);
                        break;
                    }
                }
            }
        }
        return res;
    }

    const std::vector<u64> data = gen();

}  // namespace

void Anna(int X, int Y, int N, std::string s) {
    u64 mask = 0;
    for (int i = 0; i < N; i++) {
        if (s[i] == 'B') {
            mask ^= data[i];
        }
    }
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            if (i != X && j != Y) {
                Paint(i, j, mask >> i * n + j & 1);
            }
        }
    }
}

#pragma GCC optimize("O3")
#pragma GCC target("avx2,bmi,bmi2")
#include "Bruno.h"

#ifdef LOCAL
#include "fuck.h"
#else
constexpr int SEED_DLT = 13;
#endif

#include <bits/stdc++.h>

namespace {
    using u64 = uint64_t;
    constexpr int n = 8;

    std::vector<u64> gen() {
        constexpr int K = 64;
        std::mt19937_64 rnd(2086 + SEED_DLT);
        std::vector<u64> vec(K);
        std::vector<u64> res;
        while (res.size() < K) {
            u64 val0 = rnd();
            u64 val = val0;
            for (int j = 0; j < K; j++) {
                if (val & 1ULL << j) {
                    if (vec[j]) {
                        val ^= vec[j];
                    } else {
                        vec[j] = val;
                        res.push_back(val0);
                        break;
                    }
                }
            }
        }
        return res;
    }

    const std::vector<u64> data = gen();

}  // namespace

std::string Bruno(int N, std::vector<std::vector<int>> T) {
    // if (N >= 30) {
    //     return std::string(N, 'A');
    // }

    u64 mask = 0;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            mask |= u64(T[i][j]) << i * n + j;
        }
    }

    std::vector<std::pair<int, u64>> ans;
    std::vector<u64> data2(64);

    std::vector<std::pair<int, int>> all_xy;
    for (int i = 0; i < n * n; i++) {
        all_xy.push_back({i / n, i % n});
    }
    static std::mt19937 rnd;
    // std::shuffle(all_xy.begin(), all_xy.end(), rnd);
    // for (int x = 0; x < n; x++) {
    //     for (int y = 0; y < n; y++) {
    for (auto [x, y] : all_xy) {
        u64 mk = 0;
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                mk |= u64(i == x || j == y) << i * n + j;
            }
        }
        for (int i = 0; i < n * n; i++) {
            data2[i] = data[i] & ~mk;
        }
        std::vector<u64> vec(n * n);
        for (int i = 0; i < n * n; i++) {
            if (i / n == x || i % n == y) {
                continue;
            }
            u64 val = 0;
            for (int j = 0; j < N; j++) {
                val |= (data2[j] >> i & 1) << j;
            }
            val |= u64(T[i / n][i % n]) << N;
            vec[i] = val;
        }

        bool fucked = false;
        std::vector<u64> fuck(N);
        for (int i = 0; i < vec.size(); i++) {
            u64 val = vec[i];
            // for (int j = 0; j < N; j++) {
            for (int j = 0; j < N; j = __builtin_ctzll(val)) {
                if (val >> j & 1) {
                    if (fuck[j]) {
                        val ^= fuck[j];
                    } else {
                        fuck[j] = val;
                        val = 0;
                        break;
                    }
                }
            }
            if (val) {
                fucked = true;
                break;
            }
        }
        if (std::count(fuck.begin(), fuck.end(), 0)) {
            fucked = true;
        }
        if (fucked) {
            continue;
        }

        for (int i = N - 1; i >= 0; i--) {
            for (int j = i + 1; j < N; j++) {
                if (fuck[i] >> j & 1) {
                    fuck[i] ^= fuck[j];
                }
            }
        }

        u64 res = 0;
        for (int i = 0; i < N; i++) {
            res |= (fuck[i] >> N & 1) << i;
        }
        ans.push_back({x * n + y, res});
        break;
    }

    //     if (ans.size()) {
    //         break;
    //     }
    // }
    if (0 && ans.size() != 1) {
        std::cerr << N << " " << ans.size() << "\n";
        for (auto [xy, val] : ans) {
            std::cerr << xy / n << ' ' << xy % n << "   " << std::bitset<43>(val) << "\n";
        }
        std::cerr << "\n";
    }
    if (ans.empty()) {
        return std::string(N, 'A');
    }

    assert(ans.size() >= 1);
    std::map<u64, int> map;
    for (auto [xy, val] : ans) {
        map[val]++;
    }

    std::pair<int, u64> max(0, 0);
    for (auto [a, b] : map) {
        max = std::max(max, {b, a});
    }

    u64 ans_mask = max.second;
    std::string ans_str(N, '-');
    for (int i = 0; i < N; i++) {
        ans_str[i] = "AB"[ans_mask >> i & 1];
    }
    return ans_str;
}