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답안 #493514

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
493514 2021-12-11T19:27:08 Z rainboy Izvanzemaljci (COI21_izvanzemaljci) C
68 / 100
 3000 ms 5188 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;
	}
}

int ypl[N], ypr[N], yql[N], yqr[N], ysl[N], ysr[N], ytl[N], ytr[N], xl, xr, xp, xq, xs, xt, yl, yr;
long long x0, y0, s0, x1, y1, s1, x2, y2, s2;

void try(int *ii, int n, int i, int j, long long *xx_, long long *yy_, long long *ss_) {
	xp = i == 0 ? -(X + 1) : xx[ii[i - 1]], xs = xx[ii[i]];
	xt = xx[ii[j]], xq = j + 1 == n ? X + 1 : xx[ii[j + 1]];
	yl = min(ysl[i], ytl[j]), yr = max(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;
		}
	}
}

void solve111(int *ii, int n, long long *xx_, long long *yy_, long long *ss_) {
	static int ii1[N], jj1[N];
	int ni, nj, i, i_, j, y;

	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;
	ysl[i_] = X, ysr[i_] = -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--)
		try(ii, n, i, n - 1, xx_, yy_, ss_);
	for (j = i_; j < n; j++) {
		try(ii, n, 0, j, xx_, yy_, ss_);
		try(ii, n, i_, j, xx_, yy_, ss_);
	}
	ni = 0;
	for (i = i_ - 1; i > 0; i--)
		if (xx[ii[i]] != xx[ii[i - 1]])
			ii1[ni++] = i;
	nj = 0;
	for (j = i_; j + 1 < n; j++)
		if (xx[ii[j]] != xx[ii[j + 1]])
			jj1[nj++] = j;
	for (i = 0; i < ni; i++)
		for (j = 0; j < nj; j++)
			try(ii, n, ii1[i], jj1[j], xx_, yy_, ss_);
}

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:132:15: warning: built-in function 'y0' declared as non-function [-Wbuiltin-declaration-mismatch]
  132 | long long x0, y0, s0, x1, y1, s1, x2, y2, s2;
      |               ^~
izvanzemaljci.c:132:27: warning: built-in function 'y1' declared as non-function [-Wbuiltin-declaration-mismatch]
  132 | long long x0, y0, s0, x1, y1, s1, x2, y2, s2;
      |                           ^~
izvanzemaljci.c: In function 'main':
izvanzemaljci.c:227:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  227 |  scanf("%d%d", &n, &k);
      |  ^~~~~~~~~~~~~~~~~~~~~
izvanzemaljci.c:229:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  229 |   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 27 ms 1392 KB Output is correct
8 Correct 34 ms 1328 KB Output is correct
9 Correct 24 ms 1412 KB Output is correct
10 Correct 26 ms 1384 KB Output is correct
11 Correct 32 ms 1360 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 332 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 62 ms 2988 KB Output is correct
11 Correct 59 ms 2944 KB Output is correct
12 Correct 60 ms 3016 KB Output is correct
13 Correct 57 ms 3012 KB Output is correct
14 Correct 70 ms 2944 KB Output is correct
15 Correct 56 ms 2988 KB Output is correct
16 Correct 60 ms 2980 KB Output is correct
17 Correct 53 ms 2796 KB Output is correct
18 Correct 53 ms 2596 KB Output is correct
19 Correct 49 ms 2500 KB Output is correct
20 Correct 47 ms 2572 KB Output is correct
21 Correct 55 ms 3008 KB Output is correct
22 Correct 58 ms 3012 KB Output is correct
23 Correct 58 ms 3012 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 0 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 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 1 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 332 KB Output is correct
16 Correct 0 ms 332 KB Output is correct
17 Correct 0 ms 332 KB Output is correct
18 Correct 1 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 0 ms 332 KB Output is correct
22 Correct 0 ms 332 KB Output is correct
23 Correct 1 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 0 ms 332 KB Output is correct

Subtask #4
30.0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 332 KB Output is correct
2 Correct 6 ms 428 KB Output is correct
3 Correct 6 ms 332 KB Output is correct
4 Correct 6 ms 436 KB Output is correct
5 Correct 7 ms 428 KB Output is correct
6 Correct 7 ms 332 KB Output is correct
7 Correct 7 ms 332 KB Output is correct
8 Correct 8 ms 432 KB Output is correct
9 Correct 6 ms 332 KB Output is correct
10 Correct 7 ms 332 KB Output is correct
11 Correct 5 ms 332 KB Output is correct
12 Correct 6 ms 332 KB Output is correct
13 Correct 6 ms 332 KB Output is correct
14 Correct 6 ms 356 KB Output is correct
15 Correct 5 ms 412 KB Output is correct
16 Correct 5 ms 356 KB Output is correct
17 Correct 6 ms 356 KB Output is correct
18 Correct 6 ms 404 KB Output is correct
19 Correct 5 ms 408 KB Output is correct
20 Correct 5 ms 332 KB Output is correct
21 Correct 7 ms 332 KB Output is correct
22 Correct 7 ms 332 KB Output is correct
23 Correct 9 ms 412 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 6 ms 364 KB Output is correct
2 Correct 5 ms 332 KB Output is correct
3 Correct 5 ms 332 KB Output is correct
4 Correct 8 ms 332 KB Output is correct
5 Correct 4 ms 332 KB Output is correct
6 Correct 5 ms 332 KB Output is correct
7 Correct 5 ms 332 KB Output is correct
8 Correct 6 ms 332 KB Output is correct
9 Correct 6 ms 428 KB Output is correct
10 Correct 7 ms 432 KB Output is correct
11 Correct 4 ms 332 KB Output is correct
12 Correct 8 ms 428 KB Output is correct
13 Correct 5 ms 332 KB Output is correct
14 Execution timed out 3060 ms 5188 KB Time limit exceeded
15 Halted 0 ms 0 KB -