oj.uz

Submission #379011

# Submission time Handle Problem Language Result Execution time Memory
379011 2021-03-17T08:23:54 Z fhvirus Chessboard (IZhO18_chessboard) C++17
70 / 100
 2000 ms 1036 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 xr = x1 + lx - 1, yr = y1 + ly - 1;

			ll vx = 0, vy = 0;
			FOO(x, x1, xr){
				if(((x / f) + (y1 / f)) & 1) ++vx;
				else --vx;
			}
			int odd = ((y1 / f) & 1);
			FOO(y, y1, yr){
				if(((y / f) & 1) != odd)
					vy -= vx;
				else vy += vx;
			}

			ca[i] += vy;
			cb[i] -= vy;
		}
	}

	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:21:17: warning: statement has no effect [-Wunused-value]
   21 | #define DE(...) 0
      |                 ^
chessboard.cpp:85:2: note: in expansion of macro 'DE'
   85 |  DE(AI(facs));
      |  ^~
chessboard.cpp:21:17: warning: statement has no effect [-Wunused-value]
   21 | #define DE(...) 0
      |                 ^
chessboard.cpp:86:2: note: in expansion of macro 'DE'
   86 |  DE(AI(ca));
      |  ^~
chessboard.cpp:21:17: warning: statement has no effect [-Wunused-value]
   21 | #define DE(...) 0
      |                 ^
chessboard.cpp:87:2: note: in expansion of macro 'DE'
   87 |  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 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 0 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 0 ms 364 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 23 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 20 ms 492 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 34 ms 508 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 0 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 492 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 0 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 492 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 27 ms 364 KB Output is correct
18 Correct 37 ms 364 KB Output is correct
19 Correct 98 ms 364 KB Output is correct
20 Correct 110 ms 492 KB Output is correct
21 Correct 32 ms 392 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 5 ms 364 KB Output is correct
26 Correct 22 ms 364 KB Output is correct
27 Correct 29 ms 364 KB Output is correct
28 Correct 36 ms 364 KB Output is correct
29 Correct 15 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 23 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 20 ms 492 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 34 ms 508 KB Output is correct
10 Correct 19 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 0 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 492 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 27 ms 364 KB Output is correct
28 Correct 37 ms 364 KB Output is correct
29 Correct 98 ms 364 KB Output is correct
30 Correct 110 ms 492 KB Output is correct
31 Correct 32 ms 392 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 5 ms 364 KB Output is correct
36 Correct 22 ms 364 KB Output is correct
37 Correct 29 ms 364 KB Output is correct
38 Correct 36 ms 364 KB Output is correct
39 Correct 15 ms 364 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 86 ms 364 KB Output is correct
42 Correct 43 ms 364 KB Output is correct
43 Correct 56 ms 364 KB Output is correct
44 Correct 40 ms 364 KB Output is correct
45 Correct 38 ms 492 KB Output is correct
46 Correct 96 ms 392 KB Output is correct
47 Correct 35 ms 364 KB Output is correct
48 Correct 49 ms 492 KB Output is correct
49 Correct 37 ms 364 KB Output is correct
50 Correct 399 ms 396 KB Output is correct
51 Correct 400 ms 492 KB Output is correct
52 Correct 374 ms 492 KB Output is correct
53 Correct 401 ms 492 KB Output is correct
54 Correct 374 ms 364 KB Output is correct
55 Correct 413 ms 492 KB Output is correct
56 Correct 357 ms 492 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 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 0 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 0 ms 364 KB Output is correct
9 Correct 23 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 20 ms 492 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 34 ms 508 KB Output is correct
18 Correct 19 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 0 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 492 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 27 ms 364 KB Output is correct
36 Correct 37 ms 364 KB Output is correct
37 Correct 98 ms 364 KB Output is correct
38 Correct 110 ms 492 KB Output is correct
39 Correct 32 ms 392 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 5 ms 364 KB Output is correct
44 Correct 22 ms 364 KB Output is correct
45 Correct 29 ms 364 KB Output is correct
46 Correct 36 ms 364 KB Output is correct
47 Correct 15 ms 364 KB Output is correct
48 Correct 2 ms 364 KB Output is correct
49 Correct 86 ms 364 KB Output is correct
50 Correct 43 ms 364 KB Output is correct
51 Correct 56 ms 364 KB Output is correct
52 Correct 40 ms 364 KB Output is correct
53 Correct 38 ms 492 KB Output is correct
54 Correct 96 ms 392 KB Output is correct
55 Correct 35 ms 364 KB Output is correct
56 Correct 49 ms 492 KB Output is correct
57 Correct 37 ms 364 KB Output is correct
58 Correct 399 ms 396 KB Output is correct
59 Correct 400 ms 492 KB Output is correct
60 Correct 374 ms 492 KB Output is correct
61 Correct 401 ms 492 KB Output is correct
62 Correct 374 ms 364 KB Output is correct
63 Correct 413 ms 492 KB Output is correct
64 Correct 357 ms 492 KB Output is correct
65 Correct 1 ms 512 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Execution timed out 2072 ms 1036 KB Time limit exceeded
68 Halted 0 ms 0 KB -