oj.uz

Submission #570530

# Submission time Handle Problem Language Result Execution time Memory
570530 2022-05-30T11:43:14 Z Sam_a17 Chessboard (IZhO18_chessboard) C++14
100 / 100
 1880 ms 6344 KB 
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;

#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif

#define sz(x) (int((x).size()))
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define blt __builtin_popcount

#define pb push_back
#define popf pop_front
#define popb pop_back

void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}

template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'

// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};

// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
  fastIO();

  if (str != "") {
    freopen((str + ".in").c_str(), "r", stdin);
    freopen((str + ".out").c_str(), "w", stdout);
  }
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
vector<pair<pair< long long,  long long>, pair< long long,  long long>>> points;
long long ansi = 1e17;

vector<long long> get_divisors(long long n) {
  vector<long long> answ{1};
  for(long long i = 2; i * i <= n; i++) {
    if(n % i == 0) {
      answ.push_back(i);
      if(n / i != i) {
        answ.push_back(n / i);
      }
    }
  }
  return answ;
}

long long n, k;

void check(long long curr) {
  long long first = 0, second = 0;
  for(auto i: points) {
    long long x1 = i.first.first - 1, y1 = i.first.second - 1;
    long long x2 = i.second.first - 1, y2 = i.second.second - 1;

    // y1 -> y2

    long long block1 = y1 / curr, block2 = y2 / curr;

    if(block1 == block2) {
      long long toadd = y2 - y1 + 1;

      long long block11 = x1 / curr, block22 = x2 / curr;

      if(block11 == block22) {
        long long bazm = x2 - x1 + 1;
        if(block11 % 2 == block1 % 2) {
          first += bazm * toadd;
        } else {
          second += bazm * toadd;
        }
      }
      else {

        long long start = x1;
        while(start / curr == block11) {
          if(block11 % 2 == block1 % 2) {
            first += toadd;
          } else {
            second += toadd;
          }
          start++;
        }

        start = x2;

        while(start / curr == block22) {
          if(block22 % 2 == block1 % 2) {
            first += toadd;
          } else {
            second += toadd;
          }
          start--;
        }

        for(long long j = block11 + 1; j < block22; j++) {
          if(j % 2 == block1 % 2) {
            first += toadd * curr;
          } else {
            second += toadd * curr;
          }
        }
      }

    }
    else {
      long long block11 = x1 / curr, block22 = x2 / curr;

      if(block11 == block22) {
        long long toadd = x2 - x1 + 1;
        long long start = y1;

        while(start / curr == block1) {
          if(block11 % 2 == block1 % 2) {
            first += toadd;
          } else {
            second += toadd;
          }
          start++;
        }

        start = y2;
        while(start / curr == block2) {
          if(block11 % 2 == block2 % 2) {
            first += toadd;
          } else {
            second += toadd;
          }
          start--;
        }

        for(long long j = block1 + 1; j < block2; j++) {
          if(j % 2 == block11 % 2) {
            first += toadd * curr;
          } else {
            second += toadd * curr;
          }
        }
      }
      else {
        long long start = y1;
        long long needFirst = 0, needSecond = 0;
        while(start / curr == block1) {
          if(block11 % 2 == block1 % 2) {
            needFirst++;
          } else {
            needSecond++;
          }
          start++;
        }

        start = y2;
        while(start / curr == block2) {
          if(block11 % 2 == block2 % 2) {
            needFirst++;
          } else {
            needSecond++;
          }
          start--;
        }

        long long bazm = (curr - x1 % curr);
        long long bazm2 = (x2 % curr + 1);

        if(block11 % 2 == block22 % 2) {
          first += needFirst * (bazm + bazm2);
          second += needSecond * (bazm + bazm2);
        } else {
          first += needFirst * bazm;
          second += needSecond * bazm;
          first += needSecond * bazm2;
          second += needFirst * bazm2;
        }


        for(long long j = block1 + 1; j < block2; j++) {
          if(j % 2 == block11 % 2) {
            first += curr * bazm;
            needFirst += curr;
          } else {
            second += curr * bazm;
            needSecond += curr;
          }

          if(j % 2 == block22 % 2) {
            first += curr * bazm2;
          } else {
            second += curr * bazm2;
          }
        }

        //
        for(long long j = block11 + 1; j < block22; j++) {
          if(block11 % 2 == j % 2) {
            first += needFirst * curr;
            second += needSecond * curr;
          } else {
            second += needFirst * curr;
            first += needSecond * curr;
          }
        }
      }
    }
  }

  long long row = (n * n) / (curr * curr);
  long long fs = row / 2, ss = row / 2;
  if(row & 1) {
    fs++;
  }

  fs = fs * (curr * curr);
  ss = ss * (curr * curr);

  ansi = min(ansi, fs - first + second);
  ansi = min(ansi, ss - second + first);
}

void solve_() {
  cin >> n >> k;
  vector<long long> div = get_divisors(n);

  for(int i = 1; i <= k; i++) {
    int x1, y1, x2, y2;
    cin >> x1 >> y1 >> x2 >> y2;
    points.push_back({{x1, y1}, {x2, y2}});
  }

  sort(all(points));

  for(auto i: div) {
    check(i);
  }

  printf("%lld\n", ansi);
}

int main() {
  setIO();

  auto solve = [&](int test_case)-> void {
    while(test_case--) {
      solve_();
    }
  };

  int test_cases = 1;
  solve(test_cases);

  return 0;
}

Compilation message

chessboard.cpp: In function 'void setIO(std::string)':
chessboard.cpp:63:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   63 |     freopen((str + ".in").c_str(), "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
chessboard.cpp:64:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   64 |     freopen((str + ".out").c_str(), "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 2512 KB Output is correct
2 Correct 11 ms 1492 KB Output is correct
3 Correct 26 ms 2488 KB Output is correct
4 Correct 22 ms 2524 KB Output is correct
5 Correct 33 ms 2444 KB Output is correct
6 Correct 16 ms 2508 KB Output is correct
7 Correct 3 ms 600 KB Output is correct
8 Correct 20 ms 2512 KB Output is correct
9 Correct 41 ms 4556 KB Output is correct
10 Correct 22 ms 2480 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 13 ms 1492 KB Output is correct
17 Correct 32 ms 4556 KB Output is correct
18 Correct 45 ms 4556 KB Output is correct
19 Correct 90 ms 4484 KB Output is correct
20 Correct 101 ms 4532 KB Output is correct
21 Correct 39 ms 4556 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 34 ms 2456 KB Output is correct
24 Correct 49 ms 4520 KB Output is correct
25 Correct 5 ms 856 KB Output is correct
26 Correct 27 ms 2516 KB Output is correct
27 Correct 34 ms 4464 KB Output is correct
28 Correct 47 ms 4484 KB Output is correct
29 Correct 13 ms 2512 KB Output is correct
30 Correct 3 ms 468 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 2512 KB Output is correct
2 Correct 11 ms 1492 KB Output is correct
3 Correct 26 ms 2488 KB Output is correct
4 Correct 22 ms 2524 KB Output is correct
5 Correct 33 ms 2444 KB Output is correct
6 Correct 16 ms 2508 KB Output is correct
7 Correct 3 ms 600 KB Output is correct
8 Correct 20 ms 2512 KB Output is correct
9 Correct 41 ms 4556 KB Output is correct
10 Correct 22 ms 2480 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 13 ms 1492 KB Output is correct
27 Correct 32 ms 4556 KB Output is correct
28 Correct 45 ms 4556 KB Output is correct
29 Correct 90 ms 4484 KB Output is correct
30 Correct 101 ms 4532 KB Output is correct
31 Correct 39 ms 4556 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 34 ms 2456 KB Output is correct
34 Correct 49 ms 4520 KB Output is correct
35 Correct 5 ms 856 KB Output is correct
36 Correct 27 ms 2516 KB Output is correct
37 Correct 34 ms 4464 KB Output is correct
38 Correct 47 ms 4484 KB Output is correct
39 Correct 13 ms 2512 KB Output is correct
40 Correct 3 ms 468 KB Output is correct
41 Correct 95 ms 4472 KB Output is correct
42 Correct 58 ms 4448 KB Output is correct
43 Correct 67 ms 4548 KB Output is correct
44 Correct 49 ms 4544 KB Output is correct
45 Correct 43 ms 4556 KB Output is correct
46 Correct 98 ms 4540 KB Output is correct
47 Correct 39 ms 4556 KB Output is correct
48 Correct 55 ms 4556 KB Output is correct
49 Correct 47 ms 4548 KB Output is correct
50 Correct 396 ms 4528 KB Output is correct
51 Correct 386 ms 4556 KB Output is correct
52 Correct 361 ms 4556 KB Output is correct
53 Correct 421 ms 4496 KB Output is correct
54 Correct 347 ms 4556 KB Output is correct
55 Correct 413 ms 4580 KB Output is correct
56 Correct 358 ms 4556 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 26 ms 2512 KB Output is correct
10 Correct 11 ms 1492 KB Output is correct
11 Correct 26 ms 2488 KB Output is correct
12 Correct 22 ms 2524 KB Output is correct
13 Correct 33 ms 2444 KB Output is correct
14 Correct 16 ms 2508 KB Output is correct
15 Correct 3 ms 600 KB Output is correct
16 Correct 20 ms 2512 KB Output is correct
17 Correct 41 ms 4556 KB Output is correct
18 Correct 22 ms 2480 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 13 ms 1492 KB Output is correct
35 Correct 32 ms 4556 KB Output is correct
36 Correct 45 ms 4556 KB Output is correct
37 Correct 90 ms 4484 KB Output is correct
38 Correct 101 ms 4532 KB Output is correct
39 Correct 39 ms 4556 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 34 ms 2456 KB Output is correct
42 Correct 49 ms 4520 KB Output is correct
43 Correct 5 ms 856 KB Output is correct
44 Correct 27 ms 2516 KB Output is correct
45 Correct 34 ms 4464 KB Output is correct
46 Correct 47 ms 4484 KB Output is correct
47 Correct 13 ms 2512 KB Output is correct
48 Correct 3 ms 468 KB Output is correct
49 Correct 95 ms 4472 KB Output is correct
50 Correct 58 ms 4448 KB Output is correct
51 Correct 67 ms 4548 KB Output is correct
52 Correct 49 ms 4544 KB Output is correct
53 Correct 43 ms 4556 KB Output is correct
54 Correct 98 ms 4540 KB Output is correct
55 Correct 39 ms 4556 KB Output is correct
56 Correct 55 ms 4556 KB Output is correct
57 Correct 47 ms 4548 KB Output is correct
58 Correct 396 ms 4528 KB Output is correct
59 Correct 386 ms 4556 KB Output is correct
60 Correct 361 ms 4556 KB Output is correct
61 Correct 421 ms 4496 KB Output is correct
62 Correct 347 ms 4556 KB Output is correct
63 Correct 413 ms 4580 KB Output is correct
64 Correct 358 ms 4556 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Correct 1779 ms 4576 KB Output is correct
68 Correct 1668 ms 6288 KB Output is correct
69 Correct 1420 ms 6320 KB Output is correct
70 Correct 1346 ms 6232 KB Output is correct
71 Correct 1531 ms 6340 KB Output is correct
72 Correct 1612 ms 6340 KB Output is correct
73 Correct 1650 ms 6340 KB Output is correct
74 Correct 1708 ms 6276 KB Output is correct
75 Correct 1650 ms 6340 KB Output is correct
76 Correct 1631 ms 6340 KB Output is correct
77 Correct 247 ms 6320 KB Output is correct
78 Correct 86 ms 6156 KB Output is correct
79 Correct 195 ms 6340 KB Output is correct
80 Correct 190 ms 6340 KB Output is correct
81 Correct 194 ms 6340 KB Output is correct
82 Correct 153 ms 6336 KB Output is correct
83 Correct 86 ms 6252 KB Output is correct
84 Correct 1085 ms 6344 KB Output is correct
85 Correct 1838 ms 6240 KB Output is correct
86 Correct 26 ms 212 KB Output is correct
87 Correct 9 ms 212 KB Output is correct
88 Correct 1880 ms 6300 KB Output is correct
89 Correct 550 ms 1876 KB Output is correct
90 Correct 5 ms 212 KB Output is correct