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답안 #493506

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
493506 2021-12-11T18:58:56 Z rainboy Izvanzemaljci (COI21_izvanzemaljci) C
68 / 100
 3000 ms 6320 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, xp, xq, y, yl, yr, s;
	long long x0, y0, s0, x1, y1, s1;

	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++) {
		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;
		s = max(s0, s1);
		if (max(ss_[0], ss_[1]) > s) {
			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 int ypl[N], ypr[N], yql[N], yqr[N], ysl[N], ysr[N], ytl[N], ytr[N];
	int i, i_, j, xl, xr, xp, xq, xs, xt, y, yl, yr;
	long long x0, y0, s0, x1, y1, s1, x2, y2, s2;

	if (n == 0) {
		if (max(max(ss_[0], ss_[1]), ss_[2]) > 1) {
			xx_[0] = -(X + 2), yy_[0] = -(X + 2), ss_[0] = 1;
			xx_[1] = 0, yy_[1] = -(X + 2), ss_[1] = 1;
			xx_[2] = X + 1, yy_[2] = -(X + 2), ss_[2] = 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 = 0; i + 1 < n; i++) {
		xp = xx[ii[i]], xq = xx[ii[i + 1]];
		s0 = max(max(xp - xl, ypr[i] - ypl[i]), 1);
		s1 = max(max(xr - xq, yqr[i + 1] - yql[i + 1]), 1);
		if (s0 > s1)
			break;
	}
	i_ = i;
	yl = X, yr = -X;
	for (i = i_ - 1; i >= 0; i--) {
		y = yy[ii[i]];
		ysl[i] = yl = min(yl, y);
		ysr[i] = yr = max(yr, y);
	}
	yl = X, yr = -X;
	for (i = i_; i < n; i++) {
		y = yy[ii[i]];
		ytl[i] = yl = min(yl, y);
		ytr[i] = yr = max(yr, y);
	}
	for (i = i_; i >= 0; i--)  {
		xp = i == 0 ? -(X + 1) : xx[ii[i - 1]], xs = xx[ii[i]];
		for (j = i_; j < n; j++) {
			xt = xx[ii[j]], xq = j + 1 == n ? X + 1 : xx[ii[j + 1]];
			yl = min(i == i_ ? X : ysl[i], ytl[j]), yr = max(i == i_ ? -X : ysr[i], ytr[j]);
			if (xp < xs && xt < xq && (i == 0 || j + 1 == n || max(yr - yl, 1) <= xq - xp - 2)) {
				if (i == 0)
					s0 = 1, x0 = -(X + 2), y0 = -(X + 2);
				else
					s0 = max(max(xp - xl, ypr[i - 1] - ypl[i - 1]), 1), x0 = xp - s0, y0 = ypr[i - 1] - s0;
				if (j + 1 == n)
					s2 = 1, x2 = X + 1, y2 = -(X + 2);
				else
					s2 = max(max(xr - xq, yqr[j + 1] - yql[j + 1]), 1), x2 = xq, y2 = yqr[j + 1] - s2;
				s1 = max(max(xt - xs, yr - yl), 1), x1 = min(xs, j + 1 == n ? X + 1 : xq - 1 - s1), y1 = yl;
				if (max(max(ss_[0], ss_[1]), ss_[2]) > max(max(s0, s1), s2)) {
					xx_[0] = x0, yy_[0] = y0, ss_[0] = s0;
					xx_[1] = x1, yy_[1] = y1, ss_[1] = s1;
					xx_[2] = x2, yy_[2] = y2, ss_[2] = s2;
				}
			}
		}
	}
}

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:208:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  208 |  scanf("%d%d", &n, &k);
      |  ^~~~~~~~~~~~~~~~~~~~~
izvanzemaljci.c:210:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  210 |   scanf("%d%d", &xx[i], &yy[i]);
      |   ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 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 36 ms 2932 KB Output is correct
8 Correct 27 ms 2864 KB Output is correct
9 Correct 26 ms 2884 KB Output is correct
10 Correct 26 ms 2940 KB Output is correct
11 Correct 29 ms 2936 KB Output is correct

Subtask #2
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 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 66 ms 4456 KB Output is correct
11 Correct 55 ms 4420 KB Output is correct
12 Correct 56 ms 4516 KB Output is correct
13 Correct 58 ms 4528 KB Output is correct
14 Correct 65 ms 4480 KB Output is correct
15 Correct 74 ms 4436 KB Output is correct
16 Correct 79 ms 4500 KB Output is correct
17 Correct 52 ms 4204 KB Output is correct
18 Correct 50 ms 4144 KB Output is correct
19 Correct 50 ms 3948 KB Output is correct
20 Correct 53 ms 4164 KB Output is correct
21 Correct 62 ms 4492 KB Output is correct
22 Correct 56 ms 4460 KB Output is correct
23 Correct 57 ms 4524 KB Output is correct

Subtask #3
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 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 284 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 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 284 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 332 KB Output is correct
16 Correct 0 ms 280 KB Output is correct
17 Correct 0 ms 284 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 1 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 1 ms 332 KB Output is correct
23 Correct 0 ms 332 KB Output is correct
24 Correct 0 ms 332 KB Output is correct
25 Correct 0 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct

Subtask #4
30.0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 332 KB Output is correct
2 Correct 4 ms 332 KB Output is correct
3 Correct 4 ms 332 KB Output is correct
4 Correct 4 ms 436 KB Output is correct
5 Correct 4 ms 428 KB Output is correct
6 Correct 6 ms 332 KB Output is correct
7 Correct 5 ms 332 KB Output is correct
8 Correct 4 ms 368 KB Output is correct
9 Correct 4 ms 332 KB Output is correct
10 Correct 4 ms 332 KB Output is correct
11 Correct 4 ms 332 KB Output is correct
12 Correct 4 ms 364 KB Output is correct
13 Correct 4 ms 332 KB Output is correct
14 Correct 6 ms 332 KB Output is correct
15 Correct 4 ms 332 KB Output is correct
16 Correct 4 ms 332 KB Output is correct
17 Correct 4 ms 332 KB Output is correct
18 Correct 4 ms 332 KB Output is correct
19 Correct 5 ms 332 KB Output is correct
20 Correct 3 ms 428 KB Output is correct
21 Correct 7 ms 360 KB Output is correct
22 Correct 7 ms 360 KB Output is correct
23 Correct 7 ms 332 KB Output is correct
24 Correct 6 ms 332 KB Output is correct

Subtask #5
0 / 32.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 424 KB Output is correct
2 Correct 4 ms 332 KB Output is correct
3 Correct 4 ms 332 KB Output is correct
4 Correct 4 ms 332 KB Output is correct
5 Correct 3 ms 332 KB Output is correct
6 Correct 4 ms 332 KB Output is correct
7 Correct 4 ms 332 KB Output is correct
8 Correct 4 ms 332 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 4 ms 332 KB Output is correct
11 Correct 3 ms 332 KB Output is correct
12 Correct 5 ms 424 KB Output is correct
13 Correct 4 ms 332 KB Output is correct
14 Execution timed out 3058 ms 6320 KB Time limit exceeded
15 Halted 0 ms 0 KB -