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#242085#6755. 方格染色Senex_Nostalgia100 ✓100ms54696kbC++175.6kb2023-11-06 22:31:172023-11-06 22:31:17

Judging History

你现在查看的是最新测评结果

  • [2023-11-06 22:31:17]
  • 评测
  • 测评结果:100
  • 用时:100ms
  • 内存:54696kb
  • [2023-11-06 22:31:17]
  • 提交

answer

#include <bits/stdc++.h>
using i64 = long long;

constexpr int N = 2e5 + 10;
constexpr int Q = 1e5 + 10;
int c;
int n, m, q;
struct line {
	int type;
	int x1, y1, x2, y2;
	bool operator < (const line &b) {
		if (type != b.type) {
			return type < b.type;
		}
		if (type == 1) {
			if (y1 != b.y1)
				return y1 < b.y1;
			return x1 < b.x1;
		} else if (type == 2) {
			if (x1 != b.x1)
				return x1 < b.x1;
			return y1 < b.y1;
		} else {
			return x2 - x1 > b.x2 - b.x1;
		}
	}
} qry[Q];

// 离散化
int sx[N << 1], sy[N << 1], rn, rm;

inline int xval(int x) {
	return std::lower_bound(sx + 1, sx + 1 + rn, x) - sx;
}
inline int yval(int y) {
	return std::lower_bound(sy + 1, sy + 1 + rm, y) - sy;
}
std::vector<std::pair<int, int>> yadd[N << 1];

i64 tr[N << 1];
inline int lowbit(int x) {return x & -x;}
inline void add(int x, int k) {
	for (int i = x; i <= rn; i += lowbit(i))
		tr[i] += k;
}
inline i64 query(int x) {
	i64 ans = 0;
	for (int i = x; i > 0; i -= lowbit(i))
		ans += tr[i];
	return ans;
}

struct Chtholly {
	std::map<int, bool> mpx;
	void init(int x) {
		mpx[1] = false;
		mpx[x + 1] = false;
	}
	void split(int x) {
		auto it = std::prev(mpx.upper_bound(x));
		mpx[x] = it->second;
	}
	void cover(int l, int r) {
		split(l);
		split(r + 1);
		auto it = mpx.lower_bound(l);
		while (it->first != r + 1) {
			it = mpx.erase(it);
		}
		mpx[l] = true;
	}
	i64 answer() {
		i64 ans = 0;
		auto it = mpx.begin();
		while (it->first != rn + 1) {
			auto it2 = std::next(it);
			// 插入的时候按 xval 插入
			if (!it->second) {
				ans += query(it2->first - 1) - query(it->first - 1);
			} else {
				ans += sx[it2->first] - sx[it->first];
			}
			it = it2;
		}
		return ans;
	}
};

Chtholly Tree[N << 1];

int main() {
	std::ios::sync_with_stdio(false);
	std::cin.tie(nullptr);

	i64 ans = 0;
	std::cin >> c;
	std::cin >> n >> m >> q;
	for (int _ = 1; _ <= q; _++) {
		std::cin >> qry[_].type;
		std::cin >> qry[_].x1 >> qry[_].y1;
		std::cin >> qry[_].x2 >> qry[_].y2;
	}

	std::sort(qry + 1, qry + 1 + q);

	// 对于 2, 先按 x, y 排序, 合并线段
	for (int i = 1; i <= q; i++) {
		if (qry[i].type == 2) {
			int j = i + 1;
			// x 相同时按 y1 排序
			while (j <= q && qry[j].type == 2 && qry[i].x1 == qry[j].x1) {
				if (qry[j - 1].y2 >= qry[j].y1) {
					qry[j].y2 = std::max(qry[j].y2, qry[j - 1].y2);
					qry[j - 1].y2 = qry[j].y1 - 1;
				}
				j++;
			}
			j--;
			i = j;
		}
		if (qry[i].type == 1) {
			int j = i + 1;
			while (j <= q && qry[j].type == 1 && qry[i].y1 == qry[j].y1) {
				if (qry[j - 1].x2 >= qry[j].x1) {
					qry[j].x2 = std::max(qry[j].x2, qry[j - 1].x2);
					qry[j - 1].x2 = qry[j].x1 - 1;
				}
				j++;
			}
			j--;
			i = j;
		}
	}

	for (int _ = 1; _ <= q; _++) {
		sx[++rn] = qry[_].x1;
		sx[++rn] = qry[_].x2;
		sx[++rn] = qry[_].x1 - 1;
		sx[++rn] = qry[_].x2 + 1;
		sy[++rm] = qry[_].y1;
		sy[++rm] = qry[_].y2;
	}
	sx[++rn] = 0;
	sx[++rn] = 1, sx[++rn] = n + 1;
	sy[++rm] = 1, sy[++rm] = m;
	std::sort(sx + 1, sx + 1 + rn);
	std::sort(sy + 1, sy + 1 + rm);
	rn = std::unique(sx + 1, sx + 1 + rn) - sx - 1;
	rm = std::unique(sy + 1, sy + 1 + rm) - sy - 1;

	for (int i = 1; i <= rm; i++)
		Tree[i].init(rn);
	int pos = 1e9;
	for (int i = 1; i <= q; i++) {
		if (qry[i].type == 2) {
			if (qry[i].y1 <= qry[i].y2) {
				yadd[yval(qry[i].y1)].emplace_back(xval(qry[i].x1),  1);
				yadd[yval(qry[i].y2)].emplace_back(xval(qry[i].x1), -1);
			}
		} else if (qry[i].type == 1) {
			if (qry[i].x1 <= qry[i].x2)
				Tree[yval(qry[i].y1)].cover(xval(qry[i].x1), xval(qry[i].x2));			
		} else {
			if (pos == (int)1e9)
				pos = i;
		}
	}
	// 横竖线的答案
	for (int i = 1; i <= rm; i++) {
		ans += query(rn) * (sy[i] - 1 - sy[i - 1]);
		for (int j = 0; j < (int)yadd[i].size(); j++) {
			if (yadd[i][j].second == 1)
				add(yadd[i][j].first, 1);
		}
		ans += Tree[i].answer();
		for (int j = 0; j < (int)yadd[i].size(); j++) {
			if (yadd[i][j].second == -1)
				add(yadd[i][j].first, -1);
		}
	}

	for (int i = pos; i <= q; i++) {
		for (int j = i - 1; j >= pos; j--) {
			// 在同一条斜线上
			if (qry[j].x1 == -1)
				continue;
			if (qry[i].y1 - qry[j].y1 == qry[i].x1 - qry[j].x1) {
				// 在中间
				if ((qry[i].x1 >= qry[j].x1 && qry[i].x1 <= qry[j].x2) || (qry[i].x2 >= qry[j].x1 && qry[i].x2 <= qry[j].x2)) {
					qry[j].x2 = std::max(qry[i].x2, qry[j].x2);
					qry[j].y2 = std::max(qry[i].y2, qry[j].y2);
					qry[j].x1 = std::min(qry[i].x1, qry[j].x1);
					qry[j].y1 = std::min(qry[i].y1, qry[j].y1);
					qry[i].x1 = qry[i].x2 = -1;
					qry[i].y1 = qry[i].y2 = -1;
				}
			}
		}
	}
	for (int i = pos; i <= q; i++) {
		if (qry[i].x1 == -1)
			continue;
		ans += qry[i].x2 - qry[i].x1 + 1;

		std::vector<std::pair<int, int>> cross;
		for (int j = 1; j < pos; j++) {
			if (qry[j].type == 1) {
				int delta = qry[j].y1 - qry[i].y1;
				int x = qry[i].x1 + delta;
				int y = qry[j].y1;
				if (x < qry[i].x1 || x > qry[i].x2)
					continue;
				if (x < qry[j].x1 || x > qry[j].x2)
					continue;
				cross.emplace_back(x, y);
			} else if (qry[j].type == 2) {
				int delta = qry[j].x1 - qry[i].x1;
				int y = qry[i].y1 + delta;
				int x = qry[j].x1;
				if (y < qry[i].y1 || y > qry[i].y2)
					continue;
				if (y < qry[j].y1 || y > qry[j].y2)
					continue;
				cross.emplace_back(x, y);
			}
		}
		std::sort(cross.begin(), cross.end());
		cross.erase(std::unique(cross.begin(), cross.end()), cross.end());
		ans -= cross.size();
	}
	std::cout << ans << '\n';
	return 0;
}

詳細信息

Test #1:

score: 5
Accepted
time: 0ms
memory: 38156kb

input:

1
300 300 300
2 3 211 3 214
2 55 69 55 110
2 41 231 41 243
2 205 220 205 250
2 157 229 157 252
1 176 78 183 78
2 3 94 3 106
1 9 35 9 35
2 47 290 47 297
1 278 93 288 93
2 41 236 41 236
1 194 60 252 60
2 193 188 193 212
2 3 223 3 230
1 79 13 109 13
1 44 34 180 34
2 195 219 195 227
1 118 26 157 26
1 6 ...

output:

6278

result:

ok 1 number(s): "6278"

Test #2:

score: 5
Accepted
time: 0ms
memory: 36760kb

input:

2
300 300 300
2 85 246 85 256
2 65 278 65 296
2 162 161 162 163
2 55 17 55 25
2 100 33 100 35
1 15 190 43 190
2 85 166 85 173
1 39 15 48 15
2 252 1 252 5
1 244 88 250 88
2 162 212 162 213
1 17 187 32 187
2 17 23 17 23
2 85 104 85 113
1 21 297 84 297
1 42 21 77 21
2 202 31 202 56
1 216 211 267 211
1 ...

output:

6200

result:

ok 1 number(s): "6200"

Test #3:

score: 5
Accepted
time: 3ms
memory: 38136kb

input:

3
300 300 300
2 116 224 116 238
2 46 87 46 92
2 28 22 28 31
2 283 56 283 131
2 39 242 39 272
1 231 61 264 61
2 116 69 116 86
1 225 60 281 60
2 189 39 189 160
1 24 298 56 298
2 28 159 28 167
1 246 160 285 160
2 177 93 177 120
2 116 168 116 168
1 281 290 283 290
1 277 136 277 136
2 289 268 289 282
1 1...

output:

6639

result:

ok 1 number(s): "6639"

Test #4:

score: 5
Accepted
time: 5ms
memory: 37260kb

input:

4
300 300 300
2 106 122 106 127
2 11 115 11 136
2 73 109 73 139
2 172 52 172 123
2 265 205 265 242
1 120 292 120 292
2 106 97 106 104
1 60 279 133 279
2 233 51 233 65
1 21 198 24 198
2 73 273 73 281
1 64 159 85 159
2 50 54 50 197
2 106 160 106 168
1 248 54 252 54
1 53 59 61 59
2 131 80 131 80
1 55 2...

output:

7078

result:

ok 1 number(s): "7078"

Test #5:

score: 5
Accepted
time: 5ms
memory: 36976kb

input:

5
300 300 300
2 287 265 287 265
2 111 270 111 297
2 157 17 157 58
2 277 275 277 298
2 15 211 15 211
1 14 30 63 30
2 287 84 287 156
1 253 35 295 35
2 20 190 20 194
1 286 33 286 33
2 157 96 157 98
1 91 39 163 39
2 250 8 250 155
2 287 11 287 11
1 300 251 300 251
1 2 17 25 17
2 277 265 277 298
1 29 220 ...

output:

7125

result:

ok 1 number(s): "7125"

Test #6:

score: 5
Accepted
time: 6ms
memory: 39968kb

input:

6
100000 100000 2000
1 18077 90844 29870 90844
1 15898 25209 29023 25209
2 44675 61077 44675 61413
1 99173 18081 99624 18081
2 14413 11091 14413 11125
1 99340 26474 99814 26474
2 96947 75112 96947 80888
2 66129 52517 66129 54954
1 93237 26027 98206 26027
2 78129 62643 78129 85005
1 58541 25209 58885...

output:

9811536

result:

ok 1 number(s): "9811536"

Test #7:

score: 5
Accepted
time: 0ms
memory: 37444kb

input:

7
100000 100000 2000
1 34031 33382 34054 33382
1 99015 33804 99864 33804
2 34512 3505 34512 4898
1 55048 84217 56238 84217
2 38112 40398 38112 42615
1 50442 65899 51889 65899
2 88157 62617 88157 86041
2 60447 86164 60447 92917
1 65226 27267 76959 27267
2 14212 5626 14212 15791
1 8592 33804 10140 338...

output:

10053021

result:

ok 1 number(s): "10053021"

Test #8:

score: 5
Accepted
time: 3ms
memory: 38260kb

input:

8
100000 100000 2000
1 98275 10296 99977 10296
1 73858 63081 78509 63081
2 13466 55377 13466 56714
1 6243 488 9927 488
2 17152 2176 17152 2450
1 54764 65968 58926 65968
2 44370 73685 44370 75926
2 67096 21518 67096 39914
1 451 9553 481 9553
2 68472 48718 68472 62445
1 4999 63081 8847 63081
2 19270 4...

output:

10332321

result:

ok 1 number(s): "10332321"

Test #9:

score: 5
Accepted
time: 8ms
memory: 37628kb

input:

9
100000 100000 2000
1 23317 23871 31852 23871
1 53872 67865 56553 67865
2 72463 7396 72463 8278
1 1541 6200 3500 6200
2 70353 66810 70353 67517
1 13712 70706 14713 70706
2 61832 48509 61832 67304
2 15946 75070 15946 88595
1 12825 45666 19060 45666
2 69012 9660 69012 11970
1 69321 67865 69955 67865
...

output:

9979747

result:

ok 1 number(s): "9979747"

Test #10:

score: 5
Accepted
time: 77ms
memory: 44652kb

input:

10
100000 100000 100000
1 61835 40902 62028 40902
1 64668 87940 90795 87940
1 61451 55355 61721 55355
1 98743 90394 98811 90394
1 93456 95437 93715 95437
1 178 96457 37434 96457
1 93457 73049 93641 73049
1 19855 25199 20057 25199
1 30835 55620 49371 55620
1 870 22188 35965 22188
1 89651 53076 93078 ...

output:

376451109

result:

ok 1 number(s): "376451109"

Test #11:

score: 5
Accepted
time: 83ms
memory: 46668kb

input:

11
100000 100000 100000
1 93433 32681 94198 32681
1 2415 85702 10653 85702
1 8749 5532 8752 5532
1 4176 3468 7801 3468
1 65135 97514 70898 97514
1 1346 69975 2218 69975
1 7238 53922 7339 53922
1 6680 21587 14606 21587
1 9177 40049 75470 40049
1 2212 26058 49400 26058
1 35015 27905 44587 27905
1 6151...

output:

378527694

result:

ok 1 number(s): "378527694"

Test #12:

score: 5
Accepted
time: 84ms
memory: 44568kb

input:

12
100000 100000 100000
1 644 10293 1177 10293
1 21231 74542 39652 74542
1 43086 28517 43600 28517
1 26256 93913 30489 93913
1 96516 44567 99105 44567
1 61061 42889 82165 42889
1 99983 5181 99987 5181
1 34354 47611 35329 47611
1 9509 65384 12488 65384
1 4173 11791 41138 11791
1 56669 47644 65359 476...

output:

374249547

result:

ok 1 number(s): "374249547"

Test #13:

score: 5
Accepted
time: 77ms
memory: 46616kb

input:

13
100000 100000 100000
1 25010 45828 33332 45828
1 51296 68890 72169 68890
1 78689 23687 78701 23687
1 95867 9382 97806 9382
1 55509 23786 99806 23786
1 40260 60931 44183 60931
1 22221 30731 22226 30731
1 76059 58981 76830 58981
1 7920 60112 15752 60112
1 44688 44084 73628 44084
1 11777 79268 17075...

output:

383211528

result:

ok 1 number(s): "383211528"

Test #14:

score: 5
Accepted
time: 86ms
memory: 50240kb

input:

14
100000 100000 100000
2 80885 49245 80885 49283
2 11220 64102 11220 65000
1 92473 13377 99579 13377
2 80885 86626 80885 86820
2 21118 1259 21118 11985
2 42237 62778 42237 69888
1 97222 79184 98758 79184
2 44599 63597 44599 63713
2 79040 95387 79040 96667
2 69913 88035 69913 88669
2 45307 2924 4530...

output:

381101960

result:

ok 1 number(s): "381101960"

Test #15:

score: 5
Accepted
time: 93ms
memory: 48524kb

input:

15
100000 100000 100000
2 91764 54353 91764 54520
2 28652 49170 28652 49615
1 9331 16798 11503 16798
2 91764 79993 91764 81072
2 84153 26433 84153 32088
2 75533 55981 75533 56009
1 37815 31743 39093 31743
2 6745 3757 6745 3760
2 63642 6258 63642 22771
2 55482 37341 55482 37878
2 81074 74483 81074 88...

output:

382632220

result:

ok 1 number(s): "382632220"

Test #16:

score: 5
Accepted
time: 86ms
memory: 50236kb

input:

16
100000 100000 100000
2 66828 6630 66828 7506
2 62880 34446 62880 43261
1 47672 55311 60293 55311
2 66828 76715 66828 76935
2 363 3447 363 68149
2 63886 41674 63886 55533
1 22133 90250 22411 90250
2 73144 82613 73144 82629
2 29932 19382 29932 22540
2 1995 82720 1995 83239
2 45497 7470 45497 10822
...

output:

380367856

result:

ok 1 number(s): "380367856"

Test #17:

score: 5
Accepted
time: 81ms
memory: 48232kb

input:

17
100000 100000 100000
2 77793 41255 77793 41333
2 5747 28352 5747 35492
1 14185 60840 15523 60840
2 77793 13667 77793 13709
2 29577 61040 29577 86816
2 65419 21908 65419 21909
1 4053 40767 5023 40767
2 5799 75974 5799 75989
2 56279 2793 56279 5116
2 88847 42645 88847 42947
2 26816 5454 26816 29322...

output:

377356031

result:

ok 1 number(s): "377356031"

Test #18:

score: 5
Accepted
time: 92ms
memory: 48112kb

input:

18
100000 100000 100000
2 1268 88808 1268 88885
2 57502 2110 57502 4367
1 41290 26515 47069 26515
2 1268 26818 1268 27021
2 71149 83597 71149 94531
2 10874 27348 10874 27667
1 43190 25771 43495 25771
2 58647 88335 58647 88418
2 79069 10314 79069 79144
2 40298 5896 40298 6940
2 59012 9576 59012 13924...

output:

381702497

result:

ok 1 number(s): "381702497"

Test #19:

score: 5
Accepted
time: 91ms
memory: 48688kb

input:

19
100000 100000 100000
2 89823 49443 89823 49983
2 80228 97306 80228 97895
1 42598 57336 42786 57336
2 89823 77556 89823 77717
2 66932 24494 66932 55405
2 53340 64541 53340 64712
1 60745 97405 69512 97405
2 40429 2913 40429 3039
2 81959 82182 81959 90993
2 8781 67985 8781 68397
2 78315 7314 78315 3...

output:

380715962

result:

ok 1 number(s): "380715962"

Test #20:

score: 5
Accepted
time: 100ms
memory: 54696kb

input:

20
1000000000 1000000000 100000
2 94971842 653040809 94971842 653703458
2 482724716 383575122 482724716 435099343
1 318102608 972959400 378877390 972959400
2 94971842 860758970 94971842 863268182
2 367852389 787409469 367852389 998707870
2 419520406 173007646 419520406 446320624
1 89956469 295257477...

output:

3930560445242

result:

ok 1 number(s): "3930560445242"

Extra Test:

score: 0
Extra Test Passed