Submission #995092

#	Time	Username	Problem	Language	Result	Execution time	Memory
995092		_callmelucian	The Kingdom of JOIOI (JOI17_joioi)	C++14	60 / 100	516 ms	262144 KiB

joioi

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pl;
typedef pair<int,int> pii;
typedef tuple<int,int,int> tt;

#define all(a) a.begin(), a.end()
#define filter(a) a.erase(unique(all(a)), a.end())

vector<int> cmp;

int getID (int targ) {
    return lower_bound(all(cmp), targ) - cmp.begin();
}

const int mn = 4e6;
int lo[2001][2001], hi[2001][2001];
int calcLo[mn], calcHi[mn];
vector<int> row[mn], col[mn];

bool check (int delta) {
    int pos = -1, curLo = INT_MAX, curHi = INT_MIN;
    for (int k = 0; k < cmp.size(); k++) {
        while (pos + 1 < cmp.size() && cmp[pos + 1] < cmp[k] - delta) {
            pos++;
            for (int i = 0; i < row[pos].size(); i++) {
                int r = row[pos][i], c = col[pos][i];
                curLo = min(curLo, lo[r][c]);
                curHi = max(curHi, hi[r][c]);
            }
        }
        int cHi = max(calcHi[k], curHi);
        int cLo = min(calcLo[k], curLo);
        if (cHi == INT_MIN || cHi - cLo <= delta) return 1;
    }
    return 0;
}

int solve (vector<vector<int>> &vec, int n, int m) {
    for (int i = 1; i <= n; i++)
        lo[i][0] = INT_MAX, hi[i][0] = INT_MIN;
    for (int j = 1; j <= m; j++) {
        int loCol = INT_MAX, hiCol = INT_MIN;
        for (int i = n; i >= 1; i--) {
            lo[i][j] = min(lo[i][j - 1], loCol = min(loCol, vec[i][j]));
            hi[i][j] = max(hi[i][j - 1], hiCol = max(hiCol, vec[i][j]));
        }
    }

    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= m; j++) {
            int cur = getID(vec[i][j]);
            row[cur].push_back(i);
            col[cur].push_back(j);
        }
    }

    int curLo = INT_MAX, curHi = INT_MIN;
    for (int k = cmp.size() - 1; k >= 0; k--) {
        calcLo[k] = curLo, calcHi[k] = curHi;
        for (int i = 0; i < row[k].size(); i++) {
            int r = row[k][i], c = col[k][i];
            curLo = min(curLo, lo[r][c]);
            curHi = max(curHi, hi[r][c]);
        }
    }

    int ans = 0;
    if (!check(0)) {
        for (int i = 29; i >= 0; i--) {
            int mask = ans | (1 << i);
            if (!check(mask)) ans |= (1 << i);
        }
        ans++;
    }

    for (int k = 0; k < cmp.size(); k++) {
        row[k].clear();
        col[k].clear();
    }
    return ans;
}

int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);

    int n, m; cin >> n >> m;
    vector<vector<int>> vec(n + 1, vector<int>(m + 1));
    vector<vector<int>> rot(m + 1, vector<int>(n + 1));

    //cmp.push_back(0);
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= m; j++) {
            cin >> vec[i][j];
            rot[j][n - i + 1] = vec[i][j];
            cmp.push_back(vec[i][j]);
        }
    }
    sort(all(cmp)); filter(cmp);

    cout << min(solve(vec, n, m), solve(rot, m, n));

    return 0;
}

Compilation message (stderr)

joioi.cpp: In function 'bool check(int)':
joioi.cpp:26:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 |     for (int k = 0; k < cmp.size(); k++) {
      |                     ~~^~~~~~~~~~~~
joioi.cpp:27:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   27 |         while (pos + 1 < cmp.size() && cmp[pos + 1] < cmp[k] - delta) {
      |                ~~~~~~~~^~~~~~~~~~~~
joioi.cpp:29:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   29 |             for (int i = 0; i < row[pos].size(); i++) {
      |                             ~~^~~~~~~~~~~~~~~~~
joioi.cpp: In function 'int solve(std::vector<std::vector<int> >&, int, int)':
joioi.cpp:64:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   64 |         for (int i = 0; i < row[k].size(); i++) {
      |                         ~~^~~~~~~~~~~~~~~
joioi.cpp:80:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   80 |     for (int k = 0; k < cmp.size(); k++) {
      |                     ~~^~~~~~~~~~~~

• Subtask 1: 15 / 15
• Subtask 2: 45 / 45
• Subtask 3: 0 / 40