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답안 #493508

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
493508 2021-12-11T19:04:45 Z rainboy Izvanzemaljci (COI21_izvanzemaljci) C
68 / 100
 3000 ms 4836 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_) {
	int 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--)
		for (j = i_; j < n; j++)
			try(ii, n, i, 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:212:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  212 |  scanf("%d%d", &n, &k);
      |  ^~~~~~~~~~~~~~~~~~~~~
izvanzemaljci.c:214:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  214 |   scanf("%d%d", &xx[i], &yy[i]);
      |   ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 256 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 1 ms 204 KB Output is correct
7 Correct 25 ms 1356 KB Output is correct
8 Correct 26 ms 1332 KB Output is correct
9 Correct 25 ms 1412 KB Output is correct
10 Correct 24 ms 1492 KB Output is correct
11 Correct 26 ms 1456 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 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 56 ms 2980 KB Output is correct
11 Correct 56 ms 2884 KB Output is correct
12 Correct 57 ms 2932 KB Output is correct
13 Correct 57 ms 3004 KB Output is correct
14 Correct 59 ms 2896 KB Output is correct
15 Correct 56 ms 3004 KB Output is correct
16 Correct 61 ms 2976 KB Output is correct
17 Correct 53 ms 2720 KB Output is correct
18 Correct 48 ms 2708 KB Output is correct
19 Correct 45 ms 2472 KB Output is correct
20 Correct 47 ms 2644 KB Output is correct
21 Correct 59 ms 2884 KB Output is correct
22 Correct 58 ms 3064 KB Output is correct
23 Correct 59 ms 3000 KB Output is correct

Subtask #3
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 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 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 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 0 ms 332 KB Output is correct
11 Correct 1 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 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 0 ms 332 KB Output is correct
22 Correct 0 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 6 ms 316 KB Output is correct
3 Correct 5 ms 332 KB Output is correct
4 Correct 6 ms 404 KB Output is correct
5 Correct 5 ms 332 KB Output is correct
6 Correct 6 ms 332 KB Output is correct
7 Correct 6 ms 332 KB Output is correct
8 Correct 6 ms 332 KB Output is correct
9 Correct 6 ms 404 KB Output is correct
10 Correct 7 ms 332 KB Output is correct
11 Correct 5 ms 332 KB Output is correct
12 Correct 8 ms 332 KB Output is correct
13 Correct 5 ms 332 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 400 KB Output is correct
19 Correct 5 ms 332 KB Output is correct
20 Correct 4 ms 332 KB Output is correct
21 Correct 6 ms 384 KB Output is correct
22 Correct 6 ms 332 KB Output is correct
23 Correct 5 ms 332 KB Output is correct
24 Correct 5 ms 332 KB Output is correct

Subtask #5
0 / 32.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 412 KB Output is correct
2 Correct 5 ms 332 KB Output is correct
3 Correct 4 ms 332 KB Output is correct
4 Correct 6 ms 408 KB Output is correct
5 Correct 4 ms 332 KB Output is correct
6 Correct 6 ms 332 KB Output is correct
7 Correct 5 ms 332 KB Output is correct
8 Correct 5 ms 400 KB Output is correct
9 Correct 6 ms 332 KB Output is correct
10 Correct 6 ms 332 KB Output is correct
11 Correct 4 ms 332 KB Output is correct
12 Correct 6 ms 332 KB Output is correct
13 Correct 4 ms 332 KB Output is correct
14 Execution timed out 3074 ms 4836 KB Time limit exceeded
15 Halted 0 ms 0 KB -