Submission #54097

#	Time	Username	Problem	Language	Result	Execution time	Memory
54097		egorlifar	Chessboard (IZhO18_chessboard)	C++17	100 / 100	737 ms	89032 KiB

chessboard

/*
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 */
#include <iostream>
#include <complex>
#include <vector>
#include <string>
#include <algorithm>
#include <cstdio>
#include <numeric>
#include <cstring>
#include <ctime>
#include <cstdlib>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <list>
#include <cmath>
#include <bitset>
#include <cassert>
#include <queue>
#include <stack>
#include <iomanip>
#include <deque>
    
     
using namespace std;
template<typename T1, typename T2>inline void chkmin(T1 &x, T2 y) { if (x > y) x = y; }
template<typename T1, typename T2>inline void chkmax(T1 &x, T2 y) { if (x < y) x = y; } 
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const pair<T, U> &_p) { _out << _p.first << ' ' << _p.second; return _out; }
template<typename T, typename U> inline istream &operator>> (istream &_in, pair<T, U> &_p) { _in >> _p.first >> _p.second; return _in; }
template<typename T> inline ostream &operator<< (ostream &_out, const vector<T> &_v) { if (_v.empty()) { return _out; } _out << _v.front(); for (auto _it = ++_v.begin(); _it != _v.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline istream &operator>> (istream &_in, vector<T> &_v) { for (auto &_i : _v) { _in >> _i; } return _in; }
template<typename T> inline ostream &operator<< (ostream &_out, const set<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const multiset<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const unordered_set<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const unordered_multiset<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const map<T, U> &_m) { if (_m.empty()) { return _out; } _out << '(' << _m.begin()->first << ": " << _m.begin()->second << ')'; for (auto _it = ++_m.begin(); _it != _m.end(); ++_it) { _out << ", (" << _it->first << ": " << _it->second << ')'; } return _out; }
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const unordered_map<T, U> &_m) { if (_m.empty()) { return _out; } _out << '(' << _m.begin()->first << ": " << _m.begin()->second << ')'; for (auto _it = ++_m.begin(); _it != _m.end(); ++_it) { _out << ", (" << _it->first << ": " << _it->second << ')'; } return _out; }
#define sz(c) (int)(c).size()
#define all(c) (c).begin(), (c).end()
#define rall(c) (c).rbegin(), (c).rend()
#define left left228
#define right right228
#define next next228
#define rank rank228
#define prev prev228
#define y1 y1228                                                         
#define read(FILENAME) freopen((FILENAME + ".in").c_str(), "r", stdin)
#define write(FILENAME) freopen((FILENAME + ".out").c_str(), "w", stdout)
#define files(FILENAME) read(FILENAME), write(FILENAME)
#define pb push_back
#define x first
#define y second
const string FILENAME = "input";
const int MAXN = 100228;

//11:50
//16:50
int n, k;
int x1[MAXN], y1[MAXN], x2[MAXN], y2[MAXN];
long long ans = 1e18;


long long get(int t, int posx, int len, int yl, int yr, int x) {
    long long res = 0;
    int ly = yl / x;
    int ry = yr / x;
    if (ly == ry) {
        if ((ly + posx) % 2 == t) {
            res += 1LL * len * (yr - yl + 1);
        } else {
            res -= 1LL * len * (yr - yl + 1);
        }
    } else {
      //  exit(1);
        if (yl % x != 0) {
            if ((posx + ly) % 2 == t) {
                res += 1LL * len * (x - yl % x);
            } else {
                res -= 1LL * len * (x - yl % x);
            }
            ly++;
        }
        if (yr % x != x - 1) {
            if ((posx + ry) % 2 == t) {
                res += 1LL * len * (yr % x + 1);
            } else {
                res -= 1LL * len * (yr % x + 1);
            }
            ry--;
        }
        if (ly <= ry) {
            if ((posx + ly) % 2 == t) {
                if ((ry - ly + 1) % 2) {
                    res += 1LL * len * x;
                }
            } else {
                if ((ry - ly + 1) % 2) {
                    res -= 1LL * len * x;
                }
            }
        }
    }
    return res;
}


long long check(int t, int x) {
    long long res = 0;
    if (t == 1) {
        res += 1LL * (1LL * (n / x) * (n / x) + 1) / 2 * x * x;
    } else {
        res += 1LL * (1LL * (n / x) * (n / x) ) / 2 * x * x;
    }
   // cout << res << endl;
    for (int i = 0; i < k; i++) {
        int lx = x1[i] / x;
        int rx = x2[i] / x;
        int ly = y1[i] / x;
        int ry = y2[i] / x;
        if (lx == rx) {
            res += get(t, lx, x2[i] - x1[i] + 1, y1[i], y2[i], x);
            continue;
        }
       // exit(1);
        if (x1[i] % x != 0) {
            res += get(t, lx, x - x1[i] % x, y1[i], y2[i], x);
            lx++;
        }
        if (x2[i] % x != x - 1) {
            res += get(t, rx, x2[i] % x + 1, y1[i], y2[i], x);
            rx--;
        }
        if (lx <= rx) {
            if ((rx - lx + 1) % 2 == 1) {
                res += get(t, lx, x, y1[i], y2[i], x);
            }
        }
    }
    return res;
}


int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	//read(FILENAME);
    cin >> n >> k;
    for (int i = 0; i < k; i++) {
        cin >> x1[i] >> y1[i] >> x2[i] >> y2[i];
        x1[i]--;
        y1[i]--;
        x2[i]--;
        y2[i]--;
    }
    for (int i = 1; i < n; i++) {
        if (n % i == 0) {
            chkmin(ans, check(0, i));
            chkmin(ans, check(1, i));
        }
    }
    cout << ans << '\n';
}

Compilation message (stderr)

chessboard.cpp: In function 'long long int check(int, int)':
chessboard.cpp:134:13: warning: unused variable 'ly' [-Wunused-variable]
         int ly = y1[i] / x;
             ^~
chessboard.cpp:135:13: warning: unused variable 'ry' [-Wunused-variable]
         int ry = y2[i] / x;
             ^~

• Subtask 1: 8 / 8
• Subtask 2: 8 / 8
• Subtask 3: 15 / 15
• Subtask 4: 16 / 16
• Subtask 5: 23 / 23
• Subtask 6: 30 / 30