oj.uz

Submission #493488

# Submission time Handle Problem Language Result Execution time Memory
493488 2021-12-11T15:53:30 Z rainboy Izvanzemaljci (COI21_izvanzemaljci) C
68 / 100
 3000 ms 5476 KB 
#include <stdio.h>
#include <sys/time.h>

#define N	100000
#define INF	0x3f3f3f3f3f3f3f3fLL
#define X	1000000001

long long min(long long a, long long b) { return a < b ? a : b; }
long long max(long long a, long long b) { return a > b ? a : b; }

unsigned int Z = 12345;

int rand_() {
	return (Z *= 3) >> 1;
}

int xx[N], yy[N], n;

void sort(int *ii, int l, int r) {
	while (l < r) {
		int i = l, j = l, k = r, i_ = ii[l + rand_() % (r - l)], tmp;

		while (j < k)
			if (xx[ii[j]] == xx[i_])
				j++;
			else if (xx[ii[j]] < xx[i_]) {
				tmp = ii[i], ii[i] = ii[j], ii[j] = tmp;
				i++, j++;
			} else {
				k--;
				tmp = ii[j], ii[j] = ii[k], ii[k] = tmp;
			}
		sort(ii, l, i);
		l = k;
	}
}

void solve1(int *ii, int n, long long *xx_, long long *yy_, long long *ss_) {
	int i, i_, x, y, xl, xr, yl, yr, s;

	if (n == 0) {
		if (ss_[0] > 1)
			xx_[0] = X + 1, yy_[0] = X + 1, ss_[0] = 1;
		return;
	}
	xl = X, xr = -X, yl = X, yr = -X;
	for (i = 0; i < n; i++) {
		i_ = ii[i], x = xx[i_], y = yy[i_];
		xl = min(xl, x), xr = max(xr, x);
		yl = min(yl, y), yr = max(yr, y);
	}
	s = max(max(xr - xl, yr - yl), 1);
	if (ss_[0] > s)
		xx_[0] = xl, yy_[0] = yl, ss_[0] = s;
}

void solve2(int *ii, int n, long long *xx_, long long *yy_, long long *ss_) {
	static int ypl[N], ypr[N], yql[N], yqr[N];
	int i, xl, xr, y, yl, yr;

	if (n == 0) {
		if (max(ss_[0], ss_[1]) > 1) {
			xx_[0] = -(X + 2), yy_[0] = -(X + 2), ss_[0] = 1;
			xx_[1] = X + 1, yy_[1] = -(X + 2), ss_[1] = 1;
		}
		return;
	}
	xl = xx[ii[0]], xr = xx[ii[n - 1]];
	yl = X, yr = -X;
	for (i = 0; i < n; i++) {
		y = yy[ii[i]];
		ypl[i] = yl = min(yl, y);
		ypr[i] = yr = max(yr, y);
	}
	yl = X, yr = -X;
	for (i = n - 1; i >= 0; i--) {
		y = yy[ii[i]];
		yql[i] = yl = min(yl, y);
		yqr[i] = yr = max(yr, y);
	}
	for (i = -1; i < n; i++) {
		long long xp, xq, x0, y0, s0, x1, y1, s1;

		xp = i == -1 ? -(X + 1) : xx[ii[i]], xq = i + 1 == n ? X + 1 : xx[ii[i + 1]];
		if (xp == xq)
			continue;
		if (i == -1)
			s0 = 1, x0 = -(X + 2), y0 = -(X + 2);
		else
			s0 = max(max(xp - xl, ypr[i] - ypl[i]), 1), x0 = xp - s0, y0 = ypr[i] - s0;
		if (i + 1 == n)
			s1 = 1, x1 = X + 1, y1 = -(X + 2);
		else
			s1 = max(max(xr - xq, yqr[i + 1] - yql[i + 1]), 1), x1 = xq, y1 = yqr[i + 1] - s1;
		if (max(ss_[0], ss_[1]) > max(s0, s1))
			xx_[0] = x0, yy_[0] = y0, ss_[0] = s0, xx_[1] = x1, yy_[1] = y1, ss_[1] = s1;
	}
}

void solve21(int *ii, int n, long long *xx_, long long *yy_, long long *ss_) {
	static long long xx1[3], yy1[3], ss1[3];
	static int ii1[N], ii2[N];
	int n1, n2, h, i, i_, lower, upper;

	lower = -X, upper = X;
	while (upper - lower > 1) {
		int y = (lower + upper) / 2;

		n1 = n2 = 0;
		for (i = 0; i < n; i++) {
			i_ = ii[i];
			if (yy[i_] <= y)
				ii1[n1++] = i_;
			else
				ii2[n2++] = i_;
		}
		ss1[0] = ss1[1] = ss1[2] = INF;
		solve2(ii1, n1, xx1, yy1, ss1), solve1(ii2, n2, xx1 + 2, yy1 + 2, ss1 + 2);
		if (max(max(ss_[0], ss_[1]), ss_[2]) > max(max(ss1[0], ss1[1]), ss1[2]))
			for (h = 0; h < 3; h++)
				xx_[h] = xx1[h], yy_[h] = yy1[h], ss_[h] = ss1[h];
		if (max(ss1[0], ss1[1]) < ss1[2])
			lower = y;
		else
			upper = y;
	}
}

void solve111(int *ii, int n, long long *xx_, long long *yy_, long long *ss_) {
	static long long yld[N], ylu[N], yrd[N], yru[N];
	int i, j;

	for (i = 0; i < n; i++) {
		yld[i] = min(i == 0 ? INF : yld[i - 1], yy[ii[i]]);
		ylu[i] = max(i == 0 ? -INF : ylu[i - 1], yy[ii[i]]);
	}
	for (i = n - 1; i >= 0; i--) {
		yrd[i] = min(i + 1 == n ? INF : yrd[i + 1], yy[ii[i]]);
		yru[i] = max(i + 1 == n ? -INF : yru[i + 1], yy[ii[i]]);
	}
	for (i = 1; i < n; i++) {
		long long yd, yu;

		yd = INF, yu = -INF;
		for (j = i; j + 1 < n; j++) {
			yd = min(yd, yy[ii[j]]), yu = max(yu, yy[ii[j]]);
			if (xx[ii[i - 1]] < xx[ii[i]] && xx[ii[j]] < xx[ii[j + 1]] && max(yu - yd, 1) <= xx[ii[j + 1]] - xx[ii[i - 1]] - 2) {
				long long x1, y1, l1, x2, y2, l2, x3, y3, l3;

				l1 = max(max(xx[ii[i - 1]] - xx[ii[0]], ylu[i - 1] - yld[i - 1]), 1);
				x1 = xx[ii[i - 1]] - l1, y1 = ylu[i - 1] - l1;
				l2 = max(max(xx[ii[n - 1]] - xx[ii[j + 1]], yru[j + 1] - yrd[j + 1]), 1);
				x2 = xx[ii[j + 1]], y2 = yru[j + 1] - l2;
				l3 = max(xx[ii[j]] - xx[ii[i]], max(yu - yd, 1));
				x3 = min(xx[ii[i]], xx[ii[j + 1]] - 1 - l3), y3 = yu - l3;
				if (max(max(ss_[0], ss_[1]), ss_[2]) > max(max(l1, l2), l3))
					xx_[0] = x1, yy_[0] = y1, ss_[0] = l1, xx_[1] = x2, yy_[1] = y2, ss_[1] = l2, xx_[2] = x3, yy_[2] = y3, ss_[2] = l3;
			}
		}
	}
}

int main() {
	static int ii[N];
	static long long xx_[3], yy_[3], ss_[3];
	int k, h, i, r;
	long long tmp;

	scanf("%d%d", &n, &k);
	for (i = 0; i < n; i++) {
		scanf("%d%d", &xx[i], &yy[i]);
		ii[i] = i;
	}
	ss_[0] = INF;
	if (k == 1)
		solve1(ii, n, xx_, yy_, ss_);
	else if (k == 2)
		for (r = 0; r < 2; r++) {
			sort(ii, 0, n);
			solve2(ii, n, xx_, yy_, ss_);
			for (i = 0; i < n; i++)
				tmp = xx[i], xx[i] = yy[i], yy[i] = tmp;
			for (h = 0; h < k; h++)
				tmp = xx_[h], xx_[h] = yy_[h], yy_[h] = tmp;
		}
	else if (k == 3) {
		for (r = 0; r < 4; r++) {
			sort(ii, 0, n);
			solve21(ii, n, xx_, yy_, ss_);
			for (i = 0; i < n; i++)
				tmp = xx[i], xx[i] = -yy[i], yy[i] = tmp;
			for (h = 0; h < k; h++)
				tmp = xx_[h], xx_[h] = -yy_[h], yy_[h] = tmp, xx_[h] -= ss_[h];
		}
		for (r = 0; r < 2; r++) {
			sort(ii, 0, n);
			solve111(ii, n, xx_, yy_, ss_);
			for (i = 0; i < n; i++)
				tmp = xx[i], xx[i] = yy[i], yy[i] = tmp;
			for (h = 0; h < k; h++)
				tmp = xx_[h], xx_[h] = yy_[h], yy_[h] = tmp;
		}
	}
	for (h = 0; h < k; h++)
		printf("%lld %lld %lld\n", xx_[h], yy_[h], ss_[h]);
	return 0;
}

Compilation message

izvanzemaljci.c: In function 'main':
izvanzemaljci.c:169:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  169 |  scanf("%d%d", &n, &k);
      |  ^~~~~~~~~~~~~~~~~~~~~
izvanzemaljci.c:171:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  171 |   scanf("%d%d", &xx[i], &yy[i]);
      |   ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 26 ms 1424 KB Output is correct
8 Correct 29 ms 1380 KB Output is correct
9 Correct 26 ms 1444 KB Output is correct
10 Correct 24 ms 1360 KB Output is correct
11 Correct 26 ms 1356 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 57 ms 3004 KB Output is correct
11 Correct 56 ms 2884 KB Output is correct
12 Correct 57 ms 2956 KB Output is correct
13 Correct 56 ms 2980 KB Output is correct
14 Correct 60 ms 3008 KB Output is correct
15 Correct 63 ms 3000 KB Output is correct
16 Correct 56 ms 2888 KB Output is correct
17 Correct 50 ms 2780 KB Output is correct
18 Correct 49 ms 2712 KB Output is correct
19 Correct 45 ms 2408 KB Output is correct
20 Correct 47 ms 2636 KB Output is correct
21 Correct 59 ms 3108 KB Output is correct
22 Correct 58 ms 2984 KB Output is correct
23 Correct 59 ms 3012 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 ms 280 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 0 ms 332 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 0 ms 280 KB Output is correct
16 Correct 0 ms 332 KB Output is correct
17 Correct 0 ms 332 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 0 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 0 ms 288 KB Output is correct
23 Correct 0 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 0 ms 332 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 344 KB Output is correct
2 Correct 5 ms 332 KB Output is correct
3 Correct 6 ms 332 KB Output is correct
4 Correct 5 ms 304 KB Output is correct
5 Correct 6 ms 408 KB Output is correct
6 Correct 6 ms 420 KB Output is correct
7 Correct 5 ms 332 KB Output is correct
8 Correct 5 ms 412 KB Output is correct
9 Correct 6 ms 332 KB Output is correct
10 Correct 6 ms 332 KB Output is correct
11 Correct 6 ms 332 KB Output is correct
12 Correct 6 ms 408 KB Output is correct
13 Correct 6 ms 304 KB Output is correct
14 Correct 5 ms 332 KB Output is correct
15 Correct 5 ms 332 KB Output is correct
16 Correct 4 ms 332 KB Output is correct
17 Correct 5 ms 332 KB Output is correct
18 Correct 5 ms 332 KB Output is correct
19 Correct 4 ms 332 KB Output is correct
20 Correct 5 ms 332 KB Output is correct
21 Correct 6 ms 396 KB Output is correct
22 Correct 6 ms 332 KB Output is correct
23 Correct 6 ms 332 KB Output is correct
24 Correct 5 ms 332 KB Output is correct

Subtask #5
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 332 KB Output is correct
2 Correct 6 ms 332 KB Output is correct
3 Correct 6 ms 356 KB Output is correct
4 Correct 6 ms 412 KB Output is correct
5 Correct 6 ms 408 KB Output is correct
6 Correct 6 ms 332 KB Output is correct
7 Correct 6 ms 412 KB Output is correct
8 Correct 5 ms 332 KB Output is correct
9 Correct 5 ms 332 KB Output is correct
10 Correct 5 ms 332 KB Output is correct
11 Correct 5 ms 412 KB Output is correct
12 Correct 6 ms 412 KB Output is correct
13 Correct 5 ms 332 KB Output is correct
14 Execution timed out 3093 ms 5476 KB Time limit exceeded
15 Halted 0 ms 0 KB -