oj.uz

Submission #379019

# Submission time Handle Problem Language Result Execution time Memory
379019 2021-03-17T08:29:58 Z fhvirus Chessboard (IZhO18_chessboard) C++17
70 / 100
 2000 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 xr = x1 + lx - 1, yr = y1 + ly - 1;

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

			if((x1 / f) + (y1 / f) & 1) vx *= 1;
			else vx *= -1;

			ca[i] += vx * vy;
			cb[i] -= vx * 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:80:16: warning: suggest parentheses around '+' in operand of '&' [-Wparentheses]
   80 |    if((x1 / f) + (y1 / f) & 1) vx *= 1;
      |       ~~~~~~~~~^~~~~~~~~~
chessboard.cpp:21:17: warning: statement has no effect [-Wunused-value]
   21 | #define DE(...) 0
      |                 ^
chessboard.cpp:88:2: note: in expansion of macro 'DE'
   88 |  DE(AI(facs));
      |  ^~
chessboard.cpp:21:17: warning: statement has no effect [-Wunused-value]
   21 | #define DE(...) 0
      |                 ^
chessboard.cpp:89:2: note: in expansion of macro 'DE'
   89 |  DE(AI(ca));
      |  ^~
chessboard.cpp:21:17: warning: statement has no effect [-Wunused-value]
   21 | #define DE(...) 0
      |                 ^
chessboard.cpp:90:2: note: in expansion of macro 'DE'
   90 |  DE(AI(cb));
      |  ^~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 364 KB Output is correct
6 Correct 0 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 25 ms 492 KB Output is correct
2 Correct 7 ms 364 KB Output is correct
3 Correct 17 ms 492 KB Output is correct
4 Correct 17 ms 364 KB Output is correct
5 Correct 24 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 14 ms 364 KB Output is correct
9 Correct 35 ms 364 KB Output is correct
10 Correct 20 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 384 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 384 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 12 ms 364 KB Output is correct
17 Correct 29 ms 364 KB Output is correct
18 Correct 39 ms 364 KB Output is correct
19 Correct 109 ms 364 KB Output is correct
20 Correct 126 ms 416 KB Output is correct
21 Correct 27 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 23 ms 364 KB Output is correct
24 Correct 39 ms 492 KB Output is correct
25 Correct 5 ms 364 KB Output is correct
26 Correct 24 ms 364 KB Output is correct
27 Correct 32 ms 364 KB Output is correct
28 Correct 39 ms 364 KB Output is correct
29 Correct 13 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 25 ms 492 KB Output is correct
2 Correct 7 ms 364 KB Output is correct
3 Correct 17 ms 492 KB Output is correct
4 Correct 17 ms 364 KB Output is correct
5 Correct 24 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 14 ms 364 KB Output is correct
9 Correct 35 ms 364 KB Output is correct
10 Correct 20 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 384 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 12 ms 364 KB Output is correct
27 Correct 29 ms 364 KB Output is correct
28 Correct 39 ms 364 KB Output is correct
29 Correct 109 ms 364 KB Output is correct
30 Correct 126 ms 416 KB Output is correct
31 Correct 27 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 23 ms 364 KB Output is correct
34 Correct 39 ms 492 KB Output is correct
35 Correct 5 ms 364 KB Output is correct
36 Correct 24 ms 364 KB Output is correct
37 Correct 32 ms 364 KB Output is correct
38 Correct 39 ms 364 KB Output is correct
39 Correct 13 ms 364 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 103 ms 492 KB Output is correct
42 Correct 44 ms 364 KB Output is correct
43 Correct 67 ms 392 KB Output is correct
44 Correct 42 ms 492 KB Output is correct
45 Correct 38 ms 364 KB Output is correct
46 Correct 116 ms 364 KB Output is correct
47 Correct 33 ms 364 KB Output is correct
48 Correct 53 ms 364 KB Output is correct
49 Correct 39 ms 364 KB Output is correct
50 Correct 456 ms 492 KB Output is correct
51 Correct 483 ms 492 KB Output is correct
52 Correct 458 ms 396 KB Output is correct
53 Correct 484 ms 492 KB Output is correct
54 Correct 442 ms 364 KB Output is correct
55 Correct 501 ms 492 KB Output is correct
56 Correct 432 ms 364 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 364 KB Output is correct
6 Correct 0 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 25 ms 492 KB Output is correct
10 Correct 7 ms 364 KB Output is correct
11 Correct 17 ms 492 KB Output is correct
12 Correct 17 ms 364 KB Output is correct
13 Correct 24 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 14 ms 364 KB Output is correct
17 Correct 35 ms 364 KB Output is correct
18 Correct 20 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 384 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 12 ms 364 KB Output is correct
35 Correct 29 ms 364 KB Output is correct
36 Correct 39 ms 364 KB Output is correct
37 Correct 109 ms 364 KB Output is correct
38 Correct 126 ms 416 KB Output is correct
39 Correct 27 ms 364 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 23 ms 364 KB Output is correct
42 Correct 39 ms 492 KB Output is correct
43 Correct 5 ms 364 KB Output is correct
44 Correct 24 ms 364 KB Output is correct
45 Correct 32 ms 364 KB Output is correct
46 Correct 39 ms 364 KB Output is correct
47 Correct 13 ms 364 KB Output is correct
48 Correct 2 ms 364 KB Output is correct
49 Correct 103 ms 492 KB Output is correct
50 Correct 44 ms 364 KB Output is correct
51 Correct 67 ms 392 KB Output is correct
52 Correct 42 ms 492 KB Output is correct
53 Correct 38 ms 364 KB Output is correct
54 Correct 116 ms 364 KB Output is correct
55 Correct 33 ms 364 KB Output is correct
56 Correct 53 ms 364 KB Output is correct
57 Correct 39 ms 364 KB Output is correct
58 Correct 456 ms 492 KB Output is correct
59 Correct 483 ms 492 KB Output is correct
60 Correct 458 ms 396 KB Output is correct
61 Correct 484 ms 492 KB Output is correct
62 Correct 442 ms 364 KB Output is correct
63 Correct 501 ms 492 KB Output is correct
64 Correct 432 ms 364 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Execution timed out 2075 ms 364 KB Time limit exceeded
68 Halted 0 ms 0 KB -