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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#168621#6639. Disk Treeucup-team1209#TL 1457ms76764kbC++202.0kb2023-09-08 18:06:112023-09-08 18:06:12

Judging History

你现在查看的是最新测评结果

  • [2023-09-08 18:06:12]
  • 评测
  • 测评结果:TL
  • 用时:1457ms
  • 内存:76764kb
  • [2023-09-08 18:06:11]
  • 提交

answer

#include<bits/stdc++.h>
using std::cin;
using std::cout;
const int N = 200005;


using db = double;
using cp = std::complex<db>;
const db pi = std::acos(-1);

std::mt19937 gen(time(0) + (size_t) new char);
int n;
cp a[N], b[N];
int r[N], id0[N], id1[N];
int pos[N];
struct edge { int u, v; db w; };
std::vector<edge> e;
int anc[N];
db dist(int x, int y) { return abs(a[x] - a[y]) - r[x] - r[y]; }
struct pr {
	db w; int id;
} bit[N];
int find(int x) {
	return anc[x] == x ? x : anc[x] = find(anc[x]);
}
int main() {
	std::ios::sync_with_stdio(false), cin.tie(0);
	cin >> n;
	for(int i = 0;i < n;++i) {
		int x, y; cin >> x >> y >> r[i];
		a[i] = cp(x, y);
		id0[i] = i;
		id1[i] = i;
		anc[i] = i;
	}
	for(int i = 0;i < 35;++i) {
		cp r = std::polar(1., db(gen()) / gen.max() * pi * 4);
		for(int i = 0;i < n;++i) b[i] = a[i] * r;
		std::sort(id0, id0 + n, [](int x, int y) { return b[x].real() < b[y].real(); });
		std::sort(id1, id1 + n, [](int x, int y) { return b[x].imag() < b[y].imag(); });
		for(int j = 0;j < n;++j) {
			pos[id1[j]] = j + 1;
		}
		for(int i = 1;i <= n;++i) {
			bit[i] = {5e9, -1};
		}
		for(int i = n - 1;i >= 0;--i) {
			int x = id0[i];

			int id = -1;
			db dx = 5e9;

			for(int i = pos[x];i <= n;i += i & -i) {
				int t = bit[i].id;
				if(t != -1) {
					db dd = dist(t, x);
					if(id == -1) {
						id = t;
						dx = dd;
					} else {
						if(dd < dx) {
							dx = dd;
							id = t;
						}
					}
				}
			}

			pr z = { b[x].real() + b[x].imag() - ::r[x], x};
			for(int i = pos[x];i;i &= i - 1) {
				if(z.w < bit[i].w) bit[i] = z;
			}
			if(id >= 0) {
				e.push_back({x, id, dx});
			}
		}
	}
	sort(e.begin(), e.end(), [](edge x, edge y) { return x.w < y.w; });
	cout << "YES" << '\n';
	for(auto [u, v, w] : e) {
		if(find(u) != find(v)) {
			cout << (int) a[u].real() << ' ' << (int) a[u].imag() << ' ';
			cout << (int) a[v].real() << ' ' << (int) a[v].imag() << '\n';
			anc[find(u)] = find(v);
		}
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 11932kb

input:

3
1 0 3
10 10 6
0 5 1

output:

YES
0 5 1 0
0 5 10 10

result:

ok answer = 1

Test #2:

score: 0
Accepted
time: 2ms
memory: 9852kb

input:

2
1 1 1
3 3 1

output:

YES
1 1 3 3

result:

ok answer = 1

Test #3:

score: 0
Accepted
time: 2ms
memory: 10004kb

input:

5
10 10 10
2 0 1
20 20 1
3 20 1
20 0 1

output:

YES
3 20 10 10
2 0 10 10
20 20 10 10
10 10 20 0

result:

ok answer = 1

Test #4:

score: 0
Accepted
time: 2ms
memory: 7812kb

input:

10
29 29 2
28 55 10
99 81 4
17 82 10
45 88 10
48 68 10
0 8 10
98 95 10
34 0 10
17 24 10

output:

YES
98 95 99 81
45 88 48 68
17 24 29 29
0 8 17 24
28 55 48 68
45 88 17 82
17 24 34 0
28 55 17 24
98 95 45 88

result:

ok answer = 1

Test #5:

score: 0
Accepted
time: 2ms
memory: 5956kb

input:

100
490 783 12
666 460 55
561 245 6
223 323 25
3 520 77
225 161 24
514 190 16
997 914 100
412 265 100
374 610 36
296 854 39
601 901 2
307 21 100
390 422 24
940 414 32
332 438 35
553 992 100
235 775 3
656 901 37
770 417 22
649 305 100
448 84 3
375 939 77
910 847 9
776 357 37
743 97 100
371 502 39
508...

output:

YES
649 305 560 422
468 868 375 939
742 210 743 97
92 366 204 512
448 84 447 40
205 100 307 21
837 286 964 284
809 794 811 693
293 965 375 939
865 52 981 11
375 939 296 854
374 610 304 613
445 639 563 635
252 629 160 703
899 204 964 284
160 703 119 603
458 464 508 524
67 952 116 850
95 208 76 226
13...

result:

ok answer = 1

Test #6:

score: 0
Accepted
time: 4ms
memory: 7980kb

input:

200
2948 9798 687
3897 647 35
3918 587 28
1262 2717 206
1315 9524 20
2381 305 1000
4344 6858 20
6234 8949 53
5168 4772 85
5044 6109 158
72 7670 132
7300 1213 837
5427 2263 1000
1785 3009 276
6136 1421 43
1629 5620 29
6445 9489 242
8443 3141 1000
4118 4307 63
1874 5238 291
1964 5785 73
7794 3934 18
3...

output:

YES
3841 6121 4160 6939
1566 4450 1828 4099
5901 4668 5710 4771
6334 1443 7300 1213
4775 842 4278 321
4160 6939 4344 6858
4718 3379 4284 3385
9940 2103 9446 2407
7634 8387 8040 7929
8914 1613 8591 1690
2395 2085 2381 305
9671 1058 8844 424
8914 1613 8844 424
63 2852 147 1148
6908 4386 7502 5454
6908...

result:

ok answer = 1

Test #7:

score: 0
Accepted
time: 4ms
memory: 7964kb

input:

300
42942 37079 222
49441 21821 1695
61023 31153 561
86630 26307 352
36940 78253 213
7841 81086 626
47425 22290 374
17694 68695 648
38259 64794 998
43599 46942 9662
9204 2816 1965
38652 83568 4057
4046 29001 1034
72591 63214 587
75984 64859 1112
70005 72177 576
34522 52126 652
56627 48785 1747
78820...

output:

YES
59945 7276 59944 148
26217 53454 15549 49146
27055 9398 30743 15955
54156 44092 54720 46175
42729 76361 46373 81005
48642 86091 49555 87747
48642 86091 49759 86207
74594 17647 77261 898
83657 87664 90608 87653
710 39900 9726 31739
84773 93522 90608 87653
908 79893 11003 92828
74594 17647 62892 1...

result:

ok answer = 1

Test #8:

score: 0
Accepted
time: 6ms
memory: 8620kb

input:

1000
558504245 246224785 100000000
971981730 913036757 1821458
198791767 482624549 5998171
540520619 353988177 8924682
183178222 46223569 9859905
118485076 22129062 7497235
274928891 417171180 372954
230079763 468235825 289869
859092765 562864738 5551376
129036518 743777318 3969979
265158223 3092933...

output:

YES
969959032 159770753 935651301 194859808
387522770 540197621 407855873 545059764
792974301 599903526 758581132 629433365
803699647 926616709 709709305 895610707
951999910 625259461 957410466 524462618
805699634 244675073 842117276 266665723
9506894 429721563 21557591 472068545
606567077 439287468...

result:

ok answer = 1

Test #9:

score: 0
Accepted
time: 29ms
memory: 9720kb

input:

3000
442876143 334276354 3627270
526253918 947313397 2498956
566692880 229330019 4243066
497859604 658736917 13012787
315969653 65582717 1400013
394215653 932651144 1655676
58249045 973232518 860150
860773683 959388251 1594726
23803673 921365885 5926749
730359196 818999592 1521282
971839312 22835235...

output:

YES
290472947 49435962 281268489 57797275
336396685 305520991 338210244 314788266
504627632 484355357 511679958 472770476
385991211 898942427 381063725 888883942
106386194 648286633 109415638 638809020
443740179 557407886 445317829 548859629
278141533 211881820 287619836 198910855
34366085 912644950...

result:

ok answer = 1

Test #10:

score: 0
Accepted
time: 64ms
memory: 12008kb

input:

7000
601805179 978984160 464352
918208048 607538668 2214109
328147216 806677103 3901695
961794394 719893281 1114470
453816635 992288784 274949
778724702 692479905 1170018
169287513 886715521 576156
812072299 118324465 93778
726229729 150105801 3593039
368683874 642143790 1277375
40087476 151799345 4...

output:

YES
952741689 195407765 948962033 192473096
335978465 621454749 302136515 662205213
181702051 225543777 191910423 222317550
112166501 828136227 108639664 832228566
367657522 874112964 360578188 879715637
395639996 56994662 409421203 1671512
113675287 272880588 115667148 196841066
655570370 704845685...

result:

ok answer = 1

Test #11:

score: 0
Accepted
time: 97ms
memory: 16284kb

input:

10000
645 4710 5
1554 4072 7
6505 2760 1
6125 8212 11
9802 9537 3
6584 4356 6
1104 6649 23
4580 2623 20
3107 2460 1
4689 1662 2
7815 161 14
8718 3658 28
2900 63 15
1741 7296 44
8380 4608 50
2212 8514 4
7919 3069 17
1638 6057 3
504 9867 18
7869 8021 14
866 9239 5
3452 8042 4
9049 7222 4
4447 1004 5
9...

output:

YES
9942 7773 9941 6761
8379 5377 8980 5036
1140 9308 1806 9435
3934 629 3270 702
2042 8866 1806 9435
54 4255 588 4254
1697 6744 1698 6223
2832 3345 3511 4090
7500 3958 7950 3959
7500 3958 7062 3959
7500 3958 7501 4394
5549 7629 5924 7630
8575 4441 8576 4074
8362 3787 8576 4074
6424 9977 6477 9628
2...

result:

ok answer = 1

Test #12:

score: 0
Accepted
time: 1457ms
memory: 76764kb

input:

100000
956095525 596102106 2
461544095 587257542 118
884402350 357055086 14228
547768407 186052059 263162
827807425 303694996 474924
692537425 44608243 131609
504660936 451030143 15134
207539367 899608364 20283
919236289 724317925 6
386476373 727023405 323
781914406 792770865 1064
411548762 2476126 ...

output:

YES
892145544 423239295 892696561 422861520
737205369 31606130 737182558 31629185
790259785 35554795 791386989 34057684
575900390 197298321 576712653 196103190
871778107 671901046 871840112 672618377
972388111 699494151 971859066 699788760
607697634 947278085 606473337 946634089
268325283 605404505 ...

result:

ok answer = 1

Test #13:

score: -100
Time Limit Exceeded

input:

200000
267774456 105702394 770
297991198 776424841 124
703700092 120262616 341808
212663821 221756923 367
195031049 705083745 66
692227605 63745620 1221
615879799 481139131 3053
93198187 239262367 141042
645539116 89213985 1679
312339485 547897747 2701
546940040 418847605 2
100457345 231142218 2
290...

output:


result: