Submission #570525

# Submission time Handle Problem Language Result Execution time Memory
570525 2022-05-30T11:24:52 Z Sam_a17 Chessboard (IZhO18_chessboard) C++14
70 / 100
1778 ms 4636 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++;
        }

        long long bazm = (curr - x1 % curr + 1);
        long long bazm2 = (x2 % curr + 1);
        first += needFirst * bazm;
        second += needSecond * bazm;
        first += needFirst * bazm2;
        second += needSecond * bazm2;

        start = y2;
        while(start / curr == block2) {
          if(block11 % 2 == block2 % 2) {
            needFirst++;
          } else {
            needSecond++;
          }
          start--;
        }
        first += needFirst * bazm;
        second += needSecond * bazm;
        first += needFirst * bazm2;
        second += needSecond * bazm2;


        for(long long j = block1 + 1; j < block2; j++) {
          if(j % 2 == block11 % 2) {
            first += curr * bazm;
            first += curr * bazm2;
          } else {
            second += curr * bazm;
            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);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 39 ms 2552 KB Output is correct
2 Correct 7 ms 1492 KB Output is correct
3 Correct 19 ms 2420 KB Output is correct
4 Correct 18 ms 2504 KB Output is correct
5 Correct 24 ms 2512 KB Output is correct
6 Correct 17 ms 2460 KB Output is correct
7 Correct 4 ms 600 KB Output is correct
8 Correct 16 ms 2492 KB Output is correct
9 Correct 42 ms 4556 KB Output is correct
10 Correct 26 ms 2512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 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 336 KB Output is correct
10 Correct 0 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
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 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 336 KB Output is correct
10 Correct 0 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 12 ms 1492 KB Output is correct
17 Correct 33 ms 4496 KB Output is correct
18 Correct 46 ms 4508 KB Output is correct
19 Correct 91 ms 4480 KB Output is correct
20 Correct 115 ms 4548 KB Output is correct
21 Correct 39 ms 4564 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 24 ms 2512 KB Output is correct
24 Correct 40 ms 4556 KB Output is correct
25 Correct 5 ms 856 KB Output is correct
26 Correct 32 ms 2512 KB Output is correct
27 Correct 36 ms 4568 KB Output is correct
28 Correct 55 ms 4636 KB Output is correct
29 Correct 15 ms 2520 KB Output is correct
30 Correct 2 ms 468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 39 ms 2552 KB Output is correct
2 Correct 7 ms 1492 KB Output is correct
3 Correct 19 ms 2420 KB Output is correct
4 Correct 18 ms 2504 KB Output is correct
5 Correct 24 ms 2512 KB Output is correct
6 Correct 17 ms 2460 KB Output is correct
7 Correct 4 ms 600 KB Output is correct
8 Correct 16 ms 2492 KB Output is correct
9 Correct 42 ms 4556 KB Output is correct
10 Correct 26 ms 2512 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 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 336 KB Output is correct
20 Correct 0 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 12 ms 1492 KB Output is correct
27 Correct 33 ms 4496 KB Output is correct
28 Correct 46 ms 4508 KB Output is correct
29 Correct 91 ms 4480 KB Output is correct
30 Correct 115 ms 4548 KB Output is correct
31 Correct 39 ms 4564 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 24 ms 2512 KB Output is correct
34 Correct 40 ms 4556 KB Output is correct
35 Correct 5 ms 856 KB Output is correct
36 Correct 32 ms 2512 KB Output is correct
37 Correct 36 ms 4568 KB Output is correct
38 Correct 55 ms 4636 KB Output is correct
39 Correct 15 ms 2520 KB Output is correct
40 Correct 2 ms 468 KB Output is correct
41 Correct 92 ms 4568 KB Output is correct
42 Correct 46 ms 4556 KB Output is correct
43 Correct 72 ms 4456 KB Output is correct
44 Correct 61 ms 4516 KB Output is correct
45 Correct 45 ms 4532 KB Output is correct
46 Correct 97 ms 4580 KB Output is correct
47 Correct 37 ms 4520 KB Output is correct
48 Correct 52 ms 4512 KB Output is correct
49 Correct 45 ms 4556 KB Output is correct
50 Correct 379 ms 4436 KB Output is correct
51 Correct 385 ms 4556 KB Output is correct
52 Correct 396 ms 4568 KB Output is correct
53 Correct 382 ms 4528 KB Output is correct
54 Correct 390 ms 4548 KB Output is correct
55 Correct 402 ms 4504 KB Output is correct
56 Correct 370 ms 4556 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 39 ms 2552 KB Output is correct
10 Correct 7 ms 1492 KB Output is correct
11 Correct 19 ms 2420 KB Output is correct
12 Correct 18 ms 2504 KB Output is correct
13 Correct 24 ms 2512 KB Output is correct
14 Correct 17 ms 2460 KB Output is correct
15 Correct 4 ms 600 KB Output is correct
16 Correct 16 ms 2492 KB Output is correct
17 Correct 42 ms 4556 KB Output is correct
18 Correct 26 ms 2512 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 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 336 KB Output is correct
28 Correct 0 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 12 ms 1492 KB Output is correct
35 Correct 33 ms 4496 KB Output is correct
36 Correct 46 ms 4508 KB Output is correct
37 Correct 91 ms 4480 KB Output is correct
38 Correct 115 ms 4548 KB Output is correct
39 Correct 39 ms 4564 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 24 ms 2512 KB Output is correct
42 Correct 40 ms 4556 KB Output is correct
43 Correct 5 ms 856 KB Output is correct
44 Correct 32 ms 2512 KB Output is correct
45 Correct 36 ms 4568 KB Output is correct
46 Correct 55 ms 4636 KB Output is correct
47 Correct 15 ms 2520 KB Output is correct
48 Correct 2 ms 468 KB Output is correct
49 Correct 92 ms 4568 KB Output is correct
50 Correct 46 ms 4556 KB Output is correct
51 Correct 72 ms 4456 KB Output is correct
52 Correct 61 ms 4516 KB Output is correct
53 Correct 45 ms 4532 KB Output is correct
54 Correct 97 ms 4580 KB Output is correct
55 Correct 37 ms 4520 KB Output is correct
56 Correct 52 ms 4512 KB Output is correct
57 Correct 45 ms 4556 KB Output is correct
58 Correct 379 ms 4436 KB Output is correct
59 Correct 385 ms 4556 KB Output is correct
60 Correct 396 ms 4568 KB Output is correct
61 Correct 382 ms 4528 KB Output is correct
62 Correct 390 ms 4548 KB Output is correct
63 Correct 402 ms 4504 KB Output is correct
64 Correct 370 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 Incorrect 1778 ms 4556 KB Output isn't correct
68 Halted 0 ms 0 KB -