Submission #65167

# Submission time Handle Problem Language Result Execution time Memory
65167 2018-08-06T23:03:14 Z kingpig9 Chessboard (IZhO18_chessboard) C++11
70 / 100
2000 ms 56148 KB
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
const int MAXN = 1e5 + 10;

//#define debug(...) fprintf(stderr, __VA_ARGS__)
#define debug(...)
#define all(v) (v).begin(), (v).end()
#define fi first
#define se second
#define fillchar(a, s) memset((a), (s), sizeof(a))

template<class T>
void setmin (T &a, T b) {
	if (b < a) {
		a = b;
	}
}

ll N, K, D;
ll X1[MAXN], X2[MAXN], Y1[MAXN], Y2[MAXN];
ll totrect;

ll delta (ll xmx, ll ymx) {
	if (xmx == 0 || ymx == 0) {
		return 0;
	}

	//which one is covered?
	ll xbound = xmx / D, ybound = ymx / D;
	//0 <= x <= xbound, 0 <= y <= ybound -- how many ways x + y is even?
	ll xodd = xbound >> 1, yodd = ybound >> 1, xeven = xbound - xodd, yeven = ybound - yodd;
	ll ans = (xeven * yeven + xodd * yodd) * D * D;
	
	ll xlen = xmx - xbound * D, ylen = ymx - ybound * D;

	if (xlen) {
		//one
		//0 <= y < ybound * D
		if ((xbound & 1) == 0) {
			//starts with white
			ans += yeven * D * xlen;
		} else {
			//starts with black
			ans += yodd * D * xlen;
		}

		//both
		if (ylen) {
			if ((xbound & 1) == (ybound & 1)) {
				ans += xlen * ylen;
			}
		}
	}

	if (ylen) {
		if (ybound % 2 == 0) {
			ans += xeven * D * ylen;
		} else {
			ans += xodd * D * ylen;
		}
	}

	return ans;
}

#warning int overflow!
ll go() {
	ll ans = (N / D) * (N / D) / 2 * D * D - totrect;
	for (ll i = 0; i < K; i++) {
		ans += (delta(X1[i], Y1[i]) + delta(X2[i], Y2[i]) - delta(X1[i], Y2[i]) - delta(X2[i], Y1[i])) << 1;
	}
	return min(N * N - ans, ans);
}

int main() {
	scanf("%lld %lld", &N, &K);
	for (ll i = 0; i < K; i++) {
		scanf("%lld %lld %lld %lld", &X1[i], &Y1[i], &X2[i], &Y2[i]);
		X1[i]--;
		Y1[i]--;
		totrect += (X2[i] - X1[i]) * (Y2[i] - Y1[i]);
	}

	ll ans = ll(N) * N;
	for (D = 1; D < N; D++) {
		if (N % D == 0) {
			setmin(ans, go());
		}
	}
	printf("%lld\n", ans);
}

Compilation message

chessboard.cpp:68:2: warning: #warning int overflow! [-Wcpp]
 #warning int overflow!
  ^~~~~~~
chessboard.cpp: In function 'int main()':
chessboard.cpp:78:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%lld %lld", &N, &K);
  ~~~~~^~~~~~~~~~~~~~~~~~~~~
chessboard.cpp:80:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld %lld %lld %lld", &X1[i], &Y1[i], &X2[i], &Y2[i]);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 248 KB Output is correct
2 Correct 3 ms 356 KB Output is correct
3 Correct 2 ms 356 KB Output is correct
4 Correct 3 ms 560 KB Output is correct
5 Correct 2 ms 628 KB Output is correct
6 Correct 3 ms 628 KB Output is correct
7 Correct 2 ms 628 KB Output is correct
8 Correct 4 ms 628 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 47 ms 2512 KB Output is correct
2 Correct 21 ms 2512 KB Output is correct
3 Correct 45 ms 2512 KB Output is correct
4 Correct 28 ms 2512 KB Output is correct
5 Correct 48 ms 2556 KB Output is correct
6 Correct 30 ms 2556 KB Output is correct
7 Correct 9 ms 2556 KB Output is correct
8 Correct 24 ms 2556 KB Output is correct
9 Correct 59 ms 3484 KB Output is correct
10 Correct 32 ms 3484 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3484 KB Output is correct
2 Correct 3 ms 3484 KB Output is correct
3 Correct 2 ms 3484 KB Output is correct
4 Correct 4 ms 3484 KB Output is correct
5 Correct 3 ms 3484 KB Output is correct
6 Correct 3 ms 3484 KB Output is correct
7 Correct 3 ms 3484 KB Output is correct
8 Correct 4 ms 3484 KB Output is correct
9 Correct 3 ms 3484 KB Output is correct
10 Correct 3 ms 3484 KB Output is correct
11 Correct 3 ms 3484 KB Output is correct
12 Correct 3 ms 3484 KB Output is correct
13 Correct 3 ms 3484 KB Output is correct
14 Correct 3 ms 3484 KB Output is correct
15 Correct 4 ms 3484 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 3484 KB Output is correct
2 Correct 3 ms 3484 KB Output is correct
3 Correct 2 ms 3484 KB Output is correct
4 Correct 4 ms 3484 KB Output is correct
5 Correct 3 ms 3484 KB Output is correct
6 Correct 3 ms 3484 KB Output is correct
7 Correct 3 ms 3484 KB Output is correct
8 Correct 4 ms 3484 KB Output is correct
9 Correct 3 ms 3484 KB Output is correct
10 Correct 3 ms 3484 KB Output is correct
11 Correct 3 ms 3484 KB Output is correct
12 Correct 3 ms 3484 KB Output is correct
13 Correct 3 ms 3484 KB Output is correct
14 Correct 3 ms 3484 KB Output is correct
15 Correct 4 ms 3484 KB Output is correct
16 Correct 26 ms 3484 KB Output is correct
17 Correct 48 ms 3484 KB Output is correct
18 Correct 83 ms 3708 KB Output is correct
19 Correct 406 ms 3708 KB Output is correct
20 Correct 435 ms 3708 KB Output is correct
21 Correct 46 ms 3708 KB Output is correct
22 Correct 4 ms 3708 KB Output is correct
23 Correct 61 ms 3708 KB Output is correct
24 Correct 79 ms 3708 KB Output is correct
25 Correct 14 ms 3708 KB Output is correct
26 Correct 50 ms 3708 KB Output is correct
27 Correct 76 ms 3708 KB Output is correct
28 Correct 83 ms 3708 KB Output is correct
29 Correct 35 ms 3708 KB Output is correct
30 Correct 5 ms 3708 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 47 ms 2512 KB Output is correct
2 Correct 21 ms 2512 KB Output is correct
3 Correct 45 ms 2512 KB Output is correct
4 Correct 28 ms 2512 KB Output is correct
5 Correct 48 ms 2556 KB Output is correct
6 Correct 30 ms 2556 KB Output is correct
7 Correct 9 ms 2556 KB Output is correct
8 Correct 24 ms 2556 KB Output is correct
9 Correct 59 ms 3484 KB Output is correct
10 Correct 32 ms 3484 KB Output is correct
11 Correct 3 ms 3484 KB Output is correct
12 Correct 3 ms 3484 KB Output is correct
13 Correct 2 ms 3484 KB Output is correct
14 Correct 4 ms 3484 KB Output is correct
15 Correct 3 ms 3484 KB Output is correct
16 Correct 3 ms 3484 KB Output is correct
17 Correct 3 ms 3484 KB Output is correct
18 Correct 4 ms 3484 KB Output is correct
19 Correct 3 ms 3484 KB Output is correct
20 Correct 3 ms 3484 KB Output is correct
21 Correct 3 ms 3484 KB Output is correct
22 Correct 3 ms 3484 KB Output is correct
23 Correct 3 ms 3484 KB Output is correct
24 Correct 3 ms 3484 KB Output is correct
25 Correct 4 ms 3484 KB Output is correct
26 Correct 26 ms 3484 KB Output is correct
27 Correct 48 ms 3484 KB Output is correct
28 Correct 83 ms 3708 KB Output is correct
29 Correct 406 ms 3708 KB Output is correct
30 Correct 435 ms 3708 KB Output is correct
31 Correct 46 ms 3708 KB Output is correct
32 Correct 4 ms 3708 KB Output is correct
33 Correct 61 ms 3708 KB Output is correct
34 Correct 79 ms 3708 KB Output is correct
35 Correct 14 ms 3708 KB Output is correct
36 Correct 50 ms 3708 KB Output is correct
37 Correct 76 ms 3708 KB Output is correct
38 Correct 83 ms 3708 KB Output is correct
39 Correct 35 ms 3708 KB Output is correct
40 Correct 5 ms 3708 KB Output is correct
41 Correct 325 ms 3708 KB Output is correct
42 Correct 89 ms 3708 KB Output is correct
43 Correct 180 ms 3708 KB Output is correct
44 Correct 91 ms 3708 KB Output is correct
45 Correct 118 ms 3708 KB Output is correct
46 Correct 390 ms 3708 KB Output is correct
47 Correct 55 ms 3708 KB Output is correct
48 Correct 143 ms 3708 KB Output is correct
49 Correct 87 ms 3708 KB Output is correct
50 Correct 1789 ms 3708 KB Output is correct
51 Correct 1965 ms 3708 KB Output is correct
52 Correct 1787 ms 5756 KB Output is correct
53 Correct 1843 ms 8152 KB Output is correct
54 Correct 1771 ms 10140 KB Output is correct
55 Correct 1927 ms 12788 KB Output is correct
56 Correct 1694 ms 14472 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 248 KB Output is correct
2 Correct 3 ms 356 KB Output is correct
3 Correct 2 ms 356 KB Output is correct
4 Correct 3 ms 560 KB Output is correct
5 Correct 2 ms 628 KB Output is correct
6 Correct 3 ms 628 KB Output is correct
7 Correct 2 ms 628 KB Output is correct
8 Correct 4 ms 628 KB Output is correct
9 Correct 47 ms 2512 KB Output is correct
10 Correct 21 ms 2512 KB Output is correct
11 Correct 45 ms 2512 KB Output is correct
12 Correct 28 ms 2512 KB Output is correct
13 Correct 48 ms 2556 KB Output is correct
14 Correct 30 ms 2556 KB Output is correct
15 Correct 9 ms 2556 KB Output is correct
16 Correct 24 ms 2556 KB Output is correct
17 Correct 59 ms 3484 KB Output is correct
18 Correct 32 ms 3484 KB Output is correct
19 Correct 3 ms 3484 KB Output is correct
20 Correct 3 ms 3484 KB Output is correct
21 Correct 2 ms 3484 KB Output is correct
22 Correct 4 ms 3484 KB Output is correct
23 Correct 3 ms 3484 KB Output is correct
24 Correct 3 ms 3484 KB Output is correct
25 Correct 3 ms 3484 KB Output is correct
26 Correct 4 ms 3484 KB Output is correct
27 Correct 3 ms 3484 KB Output is correct
28 Correct 3 ms 3484 KB Output is correct
29 Correct 3 ms 3484 KB Output is correct
30 Correct 3 ms 3484 KB Output is correct
31 Correct 3 ms 3484 KB Output is correct
32 Correct 3 ms 3484 KB Output is correct
33 Correct 4 ms 3484 KB Output is correct
34 Correct 26 ms 3484 KB Output is correct
35 Correct 48 ms 3484 KB Output is correct
36 Correct 83 ms 3708 KB Output is correct
37 Correct 406 ms 3708 KB Output is correct
38 Correct 435 ms 3708 KB Output is correct
39 Correct 46 ms 3708 KB Output is correct
40 Correct 4 ms 3708 KB Output is correct
41 Correct 61 ms 3708 KB Output is correct
42 Correct 79 ms 3708 KB Output is correct
43 Correct 14 ms 3708 KB Output is correct
44 Correct 50 ms 3708 KB Output is correct
45 Correct 76 ms 3708 KB Output is correct
46 Correct 83 ms 3708 KB Output is correct
47 Correct 35 ms 3708 KB Output is correct
48 Correct 5 ms 3708 KB Output is correct
49 Correct 325 ms 3708 KB Output is correct
50 Correct 89 ms 3708 KB Output is correct
51 Correct 180 ms 3708 KB Output is correct
52 Correct 91 ms 3708 KB Output is correct
53 Correct 118 ms 3708 KB Output is correct
54 Correct 390 ms 3708 KB Output is correct
55 Correct 55 ms 3708 KB Output is correct
56 Correct 143 ms 3708 KB Output is correct
57 Correct 87 ms 3708 KB Output is correct
58 Correct 1789 ms 3708 KB Output is correct
59 Correct 1965 ms 3708 KB Output is correct
60 Correct 1787 ms 5756 KB Output is correct
61 Correct 1843 ms 8152 KB Output is correct
62 Correct 1771 ms 10140 KB Output is correct
63 Correct 1927 ms 12788 KB Output is correct
64 Correct 1694 ms 14472 KB Output is correct
65 Correct 3 ms 14472 KB Output is correct
66 Correct 2 ms 14472 KB Output is correct
67 Correct 1878 ms 17052 KB Output is correct
68 Correct 1881 ms 19244 KB Output is correct
69 Correct 1572 ms 20960 KB Output is correct
70 Correct 1910 ms 23304 KB Output is correct
71 Correct 1805 ms 25456 KB Output is correct
72 Correct 1704 ms 27548 KB Output is correct
73 Correct 1677 ms 29524 KB Output is correct
74 Correct 1812 ms 31940 KB Output is correct
75 Correct 1759 ms 33908 KB Output is correct
76 Correct 1885 ms 36396 KB Output is correct
77 Correct 282 ms 38912 KB Output is correct
78 Correct 92 ms 40776 KB Output is correct
79 Correct 203 ms 42616 KB Output is correct
80 Correct 204 ms 44860 KB Output is correct
81 Correct 185 ms 46600 KB Output is correct
82 Correct 151 ms 49160 KB Output is correct
83 Correct 107 ms 51060 KB Output is correct
84 Correct 1160 ms 53568 KB Output is correct
85 Execution timed out 2060 ms 56148 KB Time limit exceeded
86 Halted 0 ms 0 KB -