oj.uz

Submission #378587

# Submission time Handle Problem Language Result Execution time Memory
378587 2021-03-17T02:01:13 Z fhvirus Chessboard (IZhO18_chessboard) C++17
70 / 100
 407 ms 492 KB 
// Knapsack DP is harder than FFT.
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii; typedef pair<ll, ll> pll;
#define ff first
#define ss second
#define pb emplace_back
#define FOR(i,n) for(int i = 0; i < (n); ++i)
#define FOO(i,a,b) for(int i = (a); i <= (b); ++i)
#define AI(x) begin(x),end(x)
template<class I> bool chmax(I &a, I b){ return a < b ? (a = b, true) : false;}
template<class I> bool chmin(I &a, I b){ return a > b ? (a = b, true) : false;}
#ifdef OWO
#define debug(args...) LKJ("[ " + string(#args) + " ]", args)
void LKJ(){ cerr << endl;}
template<class I, class...T> void LKJ(I&&x, T&&...t){ cerr<<x<<", ", LKJ(t...);}
template<class I> void DE(I a, I b){ while(a < b) cerr << *a << " \n"[next(a) == b], ++a;}
#else
#define debug(...) 0
#define DE(...) 0
#endif
const int N = 1e5 + 1;
int n, k;

void findfac(int n, vector<int> &fac){
	for(int i = 1; i * i <= n; ++i){
		if(n % i != 0) continue;
		fac.pb(i);
		fac.pb(n / i);
	}
	sort(AI(fac));
	fac.erase(unique(AI(fac)), end(fac));
	if(fac.back() == n) fac.pop_back();
}

int32_t main(){
	ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	cin >> n >> k;

	vector<int> facs;
	findfac(n, facs);

	// ca : has top left corner
	// cb : does not
	vector<ll> ca(facs.size());
	vector<ll> cb(facs.size());
	FOR(i,facs.size()){
		int f = facs[i];
		ll nn = n / f;
		ll bc = (nn * nn + 1) / 2;
		ca[i] = bc * f * f;
		cb[i] = 1ll * n * n - ca[i];
	}

	FOR(_,k){
		int x1, y1, x2, y2;
		cin >> x1 >> y1 >> x2 >> y2;
		--x1, --y1, --x2, --y2;
		FOR(i, facs.size()){
			int f = facs[i];
			int lx = x2 - x1 + 1;
			int ly = y2 - y1 + 1;
			lx %= f * 2, ly %= f * 2;

			if(lx == 0 or ly == 0) continue;

			int xx = x1 + lx - 1;
			int yy = y1 + ly - 1;
			int dx = x1 % f;
			int dy = y1 % f;
			ll v;

			if(dx + lx - 1 < f and dy + ly - 1 < f){
				v = lx * ly;
			} else if(dx + lx - 1 < f){
				v = 1ll * lx * ((f - dy) - (dy + ly - 1 - f));
			} else if(dy + ly - 1 < f){
				v = 1ll * ly * ((f - dx) - (dx + lx - 1 - f));
			} else {
				ll a = f - dx;
				ll b = lx - a;
				ll c = f - dy;
				ll d = ly - c;
				v = (a - b) * (c - d);
			}

			int x = x1 / f;
			int y = y1 / f;
			if((x + y) & 1) cb[i] -= v, ca[i] += v;
			else ca[i] -= v, cb[i] += v;
		}
	}

	DE(AI(facs));
	DE(AI(ca));
	DE(AI(cb));

	cout << min(
		*min_element(AI(ca)),
		*min_element(AI(cb))
	);
	return 0;
}

Compilation message

chessboard.cpp: In function 'int32_t main()':
chessboard.cpp:9:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    9 | #define FOR(i,n) for(int i = 0; i < (n); ++i)
      |                                   ^
chessboard.cpp:48:2: note: in expansion of macro 'FOR'
   48 |  FOR(i,facs.size()){
      |  ^~~
chessboard.cpp:9:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    9 | #define FOR(i,n) for(int i = 0; i < (n); ++i)
      |                                   ^
chessboard.cpp:60:3: note: in expansion of macro 'FOR'
   60 |   FOR(i, facs.size()){
      |   ^~~
chessboard.cpp:68:8: warning: unused variable 'xx' [-Wunused-variable]
   68 |    int xx = x1 + lx - 1;
      |        ^~
chessboard.cpp:69:8: warning: unused variable 'yy' [-Wunused-variable]
   69 |    int yy = y1 + ly - 1;
      |        ^~
chessboard.cpp:21:17: warning: statement has no effect [-Wunused-value]
   21 | #define DE(...) 0
      |                 ^
chessboard.cpp:95:2: note: in expansion of macro 'DE'
   95 |  DE(AI(facs));
      |  ^~
chessboard.cpp:21:17: warning: statement has no effect [-Wunused-value]
   21 | #define DE(...) 0
      |                 ^
chessboard.cpp:96:2: note: in expansion of macro 'DE'
   96 |  DE(AI(ca));
      |  ^~
chessboard.cpp:21:17: warning: statement has no effect [-Wunused-value]
   21 | #define DE(...) 0
      |                 ^
chessboard.cpp:97:2: note: in expansion of macro 'DE'
   97 |  DE(AI(cb));
      |  ^~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 364 KB Output is correct
2 Correct 7 ms 364 KB Output is correct
3 Correct 15 ms 364 KB Output is correct
4 Correct 17 ms 364 KB Output is correct
5 Correct 21 ms 364 KB Output is correct
6 Correct 14 ms 364 KB Output is correct
7 Correct 3 ms 364 KB Output is correct
8 Correct 13 ms 364 KB Output is correct
9 Correct 35 ms 364 KB Output is correct
10 Correct 19 ms 364 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 11 ms 364 KB Output is correct
17 Correct 32 ms 384 KB Output is correct
18 Correct 40 ms 364 KB Output is correct
19 Correct 92 ms 392 KB Output is correct
20 Correct 105 ms 492 KB Output is correct
21 Correct 31 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 21 ms 364 KB Output is correct
24 Correct 34 ms 364 KB Output is correct
25 Correct 6 ms 364 KB Output is correct
26 Correct 22 ms 364 KB Output is correct
27 Correct 30 ms 364 KB Output is correct
28 Correct 36 ms 492 KB Output is correct
29 Correct 11 ms 364 KB Output is correct
30 Correct 2 ms 364 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 364 KB Output is correct
2 Correct 7 ms 364 KB Output is correct
3 Correct 15 ms 364 KB Output is correct
4 Correct 17 ms 364 KB Output is correct
5 Correct 21 ms 364 KB Output is correct
6 Correct 14 ms 364 KB Output is correct
7 Correct 3 ms 364 KB Output is correct
8 Correct 13 ms 364 KB Output is correct
9 Correct 35 ms 364 KB Output is correct
10 Correct 19 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 11 ms 364 KB Output is correct
27 Correct 32 ms 384 KB Output is correct
28 Correct 40 ms 364 KB Output is correct
29 Correct 92 ms 392 KB Output is correct
30 Correct 105 ms 492 KB Output is correct
31 Correct 31 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 21 ms 364 KB Output is correct
34 Correct 34 ms 364 KB Output is correct
35 Correct 6 ms 364 KB Output is correct
36 Correct 22 ms 364 KB Output is correct
37 Correct 30 ms 364 KB Output is correct
38 Correct 36 ms 492 KB Output is correct
39 Correct 11 ms 364 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 84 ms 364 KB Output is correct
42 Correct 42 ms 492 KB Output is correct
43 Correct 57 ms 364 KB Output is correct
44 Correct 41 ms 364 KB Output is correct
45 Correct 37 ms 364 KB Output is correct
46 Correct 94 ms 364 KB Output is correct
47 Correct 32 ms 364 KB Output is correct
48 Correct 48 ms 492 KB Output is correct
49 Correct 44 ms 364 KB Output is correct
50 Correct 364 ms 364 KB Output is correct
51 Correct 393 ms 492 KB Output is correct
52 Correct 361 ms 492 KB Output is correct
53 Correct 381 ms 492 KB Output is correct
54 Correct 359 ms 492 KB Output is correct
55 Correct 407 ms 492 KB Output is correct
56 Correct 345 ms 396 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 24 ms 364 KB Output is correct
10 Correct 7 ms 364 KB Output is correct
11 Correct 15 ms 364 KB Output is correct
12 Correct 17 ms 364 KB Output is correct
13 Correct 21 ms 364 KB Output is correct
14 Correct 14 ms 364 KB Output is correct
15 Correct 3 ms 364 KB Output is correct
16 Correct 13 ms 364 KB Output is correct
17 Correct 35 ms 364 KB Output is correct
18 Correct 19 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 11 ms 364 KB Output is correct
35 Correct 32 ms 384 KB Output is correct
36 Correct 40 ms 364 KB Output is correct
37 Correct 92 ms 392 KB Output is correct
38 Correct 105 ms 492 KB Output is correct
39 Correct 31 ms 364 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 21 ms 364 KB Output is correct
42 Correct 34 ms 364 KB Output is correct
43 Correct 6 ms 364 KB Output is correct
44 Correct 22 ms 364 KB Output is correct
45 Correct 30 ms 364 KB Output is correct
46 Correct 36 ms 492 KB Output is correct
47 Correct 11 ms 364 KB Output is correct
48 Correct 2 ms 364 KB Output is correct
49 Correct 84 ms 364 KB Output is correct
50 Correct 42 ms 492 KB Output is correct
51 Correct 57 ms 364 KB Output is correct
52 Correct 41 ms 364 KB Output is correct
53 Correct 37 ms 364 KB Output is correct
54 Correct 94 ms 364 KB Output is correct
55 Correct 32 ms 364 KB Output is correct
56 Correct 48 ms 492 KB Output is correct
57 Correct 44 ms 364 KB Output is correct
58 Correct 364 ms 364 KB Output is correct
59 Correct 393 ms 492 KB Output is correct
60 Correct 361 ms 492 KB Output is correct
61 Correct 381 ms 492 KB Output is correct
62 Correct 359 ms 492 KB Output is correct
63 Correct 407 ms 492 KB Output is correct
64 Correct 345 ms 396 KB Output is correct
65 Correct 0 ms 364 KB Output is correct
66 Correct 0 ms 364 KB Output is correct
67 Incorrect 393 ms 364 KB Output isn't correct
68 Halted 0 ms 0 KB -