제출 #1081155

#제출 시각아이디문제언어결과실행 시간메모리
1081155skittles1412The Kingdom of JOIOI (JOI17_joioi)C++17
100 / 100
2078 ms119716 KiB
#include "bits/extc++.h"

using namespace std;

template <typename T, typename... U>
void dbgh(const T& t, const U&... u) {
    cerr << t;
    ((cerr << " | " << u), ...);
    cerr << endl;
}

#ifdef DEBUG
#define dbg(...)                                              \
    cerr << "L" << __LINE__ << " [" << #__VA_ARGS__ << "]: "; \
    dbgh(__VA_ARGS__)
#else
#define dbg(...)
#define cerr   \
    if (false) \
    cerr
#endif

template <typename T>
using min_pq = priority_queue<T, vector<T>, greater<>>;

#define endl "\n"
#define long int64_t
#define sz(x) int(std::size(x))

inline void init_io() {
    cin.tie(nullptr);
    cin.exceptions(ios::failbit);
    ios_base::sync_with_stdio(false);
}

template <typename T>
T reversed(T arr) {
    reverse(begin(arr), end(arr));
    return arr;
}

template <typename T>
vector<vector<T>> transposed(const vector<vector<T>>& arr) {
    int n = sz(arr), m = sz(arr[0]);

    vector ans(m, vector<T>(n));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            ans[j][i] = arr[i][j];
        }
    }

    return ans;
}

template <typename T>
ostream& operator<<(ostream& out, const vector<T>& arr) {
    out << "[";
    for (int i = 0; i < sz(arr); i++) {
        if (i) {
            out << ", ";
        }
        out << arr[i];
    }
    return out << "]";
}

inline vector<bool>::reference operator|=(vector<bool>::reference&& a, bool b) {
    a = a | b;
    return a;
}

vector<int> cvals[2];

int grade(const vector<vector<int>>& arr, const vector<int>& lens) {
    int n = sz(arr), m = sz(arr[0]);

    for (auto& a : cvals) {
        a.clear();
    }
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            cvals[j >= lens[i]].push_back(arr[i][j]);
        }
    }

    int ans = 0;
    for (auto& a : cvals) {
        if (!sz(a)) {
            continue;
        }
        ans = max(ans, *max_element(begin(a), end(a)) -
                           *min_element(begin(a), end(a)));
    }

    return ans;
}

vector<int> lens;

int solve1(const vector<vector<int>>& arr, int kv) {
    dbg(arr, kv);
    int n = sz(arr), m = sz(arr[0]);

    lens.resize(n);
    fill(begin(lens), end(lens), 0);

    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            if (arr[i][j] >= kv) {
                lens[i] = j + 1;
            }
        }
    }

    dbg(lens);
    for (int i = n - 2; i >= 0; i--) {
        lens[i] = max(lens[i], lens[i + 1]);
    }

    return grade(arr, lens);
}

int solve1_all(vector<vector<int>> arr, int kv) {
    int ans = 1e9;

    ans = min(ans, solve1(arr, kv));
    ans = min(ans, solve1(reversed(arr), kv));

    for (auto& a : arr) {
        reverse(begin(a), end(a));
    }

    ans = min(ans, solve1(arr, kv));
    ans = min(ans, solve1(reversed(arr), kv));

    return ans;
}

void solve() {
    int n, m;
    cin >> n >> m;

    vector arr(n, vector(m, -1));
    for (auto& a : arr) {
        for (auto& b : a) {
            cin >> b;
        }
    }

    int mn = 1e9;
    for (auto& a : arr) {
        for (auto& b : a) {
            mn = min(mn, b);
        }
    }

    auto a1 = arr, a2 = reversed(arr);
    for (auto& a : arr) {
        reverse(begin(a), end(a));
    }
    auto a3 = arr, a4 = reversed(arr);

    auto check = [&](int x) -> bool {
        return solve1(a1, mn + x + 1) <= x || solve1(a2, mn + x + 1) <= x ||
               solve1(a3, mn + x + 1) <= x || solve1(a4, mn + x + 1) <= x;
    };

    int l = 0, r = 1e9;
    while (l < r) {
        int mid = (l + r) / 2;
        if (check(mid)) {
            r = mid;
        } else {
            l = mid + 1;
        }
    }

    cout << l << endl;
}

int main() {
    init_io();
    solve();
}
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