oj.uz

Submission #893005

# Submission time Handle Problem Language Result Execution time Memory
893005 2023-12-26T10:05:34 Z vjudge1 Chessboard (IZhO18_chessboard) C++17
16 / 100
 41 ms 8796 KB 
// 以上帝的名义
// 候选硕士
#include <bits/stdc++.h>

#ifdef local
#include "algo/debug.h"
#else
#define dbg(x...) 0
#endif

using namespace std ;
using ll = long long ;

#define int ll

bool isPrime(int x) {
    if (x < 2) return 0 ;
    for (int i = 2 ; i * i <= x ; i++) {
        if (x  % i == 0) {
            return 0 ;
        }
    }
    return 1 ;
}

struct Fenwick {
   vector<ll> t ;
   int n;
   Fenwick(int len) {
      n = len ;
      t.assign(n + 1, 0) ;
   }
   void upd(int i, ll x) {
      while (i <= n) {
         t[i] += x;
         i += (i & (-i)) ;
      }
   }
   ll get(int i) {
      ll sum = 0 ;
      while (i) {
         sum += t[i] ;
         i -= (i & (-i)) ;
      }
      return sum ;
   }
   ll get(int l, int r) {
      return get(r) - get(l - 1) ;
   }
};

int32_t main() {
    cin.tie(0)->sync_with_stdio(false) ;
    ll n, k ; cin >> n >> k ;
    struct rect {
        int x1, y1, x2, y2;
        void read() {
            cin >> x1 >> y1 >> x2 >> y2 ;
        }
    };
    vector<rect> a(k) ;
    for (int i = 0 ; i < k ; i++) a[i].read() ;
    vector<int> d;
    for (int i = 1 ; i * i <= n ; i++) {
        if (n % i) continue ;
        d.push_back(i) ;
        if (n / i != i) d.push_back(n / i) ;
    }
    auto calc = [&](ll del) -> ll{
        vector<vector<ll>> cnt(del + 1, vector<ll>(2, 0)) ;
        int block = n / del ;
        vector<Fenwick> f(2, Fenwick(n + 2)) ;
        for (int i = 0 ; i < k ; i++) {
            int x1 = a[i].x1 , y1 = a[i].y1 , x2 = a[i].x2, y2 = a[i].y2 ;
            ll leny = (y2 - y1 + 1) ;
            ll lenx = (x2 - x1 + 1) ;
            ll evy = ((y1 & 1) ? (leny / 2) : (leny + 1) / 2) , ody = leny - evy ;
            f[0].upd(x1, evy) ;
            f[0].upd(x2 + 1, -evy) ;
            f[1].upd(x1, ody) ;
            f[1].upd(x2 + 1, -ody) ;
        }
        for (int i = 1 ; i <= n ; i++) {
//            dbg(f[0].get(i), f[1].get(i)) ;
            cnt[(i - 1) / block][1] += f[0].get(i) ;
            cnt[(i - 1) / block][0] += f[1].get(i) ;
        }
//        dbg(del, cnt) ;
        ll ret = 0 , sum = 0 ;
        for (int i = 0 ; i < del ; i++) {
//            for (int j = 0 ; j < del ; j++) {
                if (i % 2 == 0) {
                    ll c = ((del + 1) / 2) * (block * block) ;
                    ll cur = c - cnt[i][0] + cnt[i][1] ;
                    sum += cur ;
                } else {
                    ll c = (del / 2) * (block * block) ;
                    ll cur = c - cnt[i][1] + cnt[i][0] ;
                    sum += cur ;
                }
//            }
        }
        ret = sum ;
        sum = 0 ;
        for (int i = 0 ; i < del ; i++) {
//            for (int j = 0 ; j < del ; j++) {
                if (i % 2 != 0) {
                    ll c = ((del + 1) / 2) * (block * block) ;
                    ll cur = c - cnt[i][0] + cnt[i][1] ;
                    sum += cur ;
                } else {
                    ll c = (del / 2) * (block * block) ;
                    ll cur = c - cnt[i][1] + cnt[i][0] ;
                    sum += cur ;
                }
//            }
        }
        ret = min(ret, sum) ;
        return ret ;
    };
    ll ret = LLONG_MAX ;
    for (int i : d) {
        if (i > 1) {
            ret = min(ret, calc(i)) ;
        }
    }
    cout << ret ;
    return 0 ;
}

// 希望白银

Compilation message

chessboard.cpp: In lambda function:
chessboard.cpp:76:16: warning: unused variable 'lenx' [-Wunused-variable]
   76 |             ll lenx = (x2 - x1 + 1) ;
      |                ^~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 452 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 8280 KB Output is correct
2 Correct 9 ms 2396 KB Output is correct
3 Correct 18 ms 8796 KB Output is correct
4 Correct 13 ms 2776 KB Output is correct
5 Correct 21 ms 7552 KB Output is correct
6 Correct 17 ms 5980 KB Output is correct
7 Correct 4 ms 2600 KB Output is correct
8 Correct 19 ms 5980 KB Output is correct
9 Correct 41 ms 6720 KB Output is correct
10 Correct 18 ms 5720 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 348 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 348 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 8280 KB Output is correct
2 Correct 9 ms 2396 KB Output is correct
3 Correct 18 ms 8796 KB Output is correct
4 Correct 13 ms 2776 KB Output is correct
5 Correct 21 ms 7552 KB Output is correct
6 Correct 17 ms 5980 KB Output is correct
7 Correct 4 ms 2600 KB Output is correct
8 Correct 19 ms 5980 KB Output is correct
9 Correct 41 ms 6720 KB Output is correct
10 Correct 18 ms 5720 KB Output is correct
11 Incorrect 0 ms 348 KB Output isn't correct
12 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 452 KB Output is correct
9 Correct 24 ms 8280 KB Output is correct
10 Correct 9 ms 2396 KB Output is correct
11 Correct 18 ms 8796 KB Output is correct
12 Correct 13 ms 2776 KB Output is correct
13 Correct 21 ms 7552 KB Output is correct
14 Correct 17 ms 5980 KB Output is correct
15 Correct 4 ms 2600 KB Output is correct
16 Correct 19 ms 5980 KB Output is correct
17 Correct 41 ms 6720 KB Output is correct
18 Correct 18 ms 5720 KB Output is correct
19 Incorrect 0 ms 348 KB Output isn't correct
20 Halted 0 ms 0 KB -