QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#90325#5251. Constellationschiranko#AC ✓9394ms160032kbC++112.4kb2023-03-22 17:53:342023-03-22 17:53:36

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-22 17:53:36]
  • 评测
  • 测评结果:AC
  • 用时:9394ms
  • 内存:160032kb
  • [2023-03-22 17:53:34]
  • 提交

answer

#include <bits/stdc++.h>
#include <random>

#define MP make_pair


using namespace std;
using LL = long long;
using ULL = unsigned long long;
using DB = long double;

const int maxn = 2005;

int merge_time[maxn];
DB sumx[maxn][2], sumy[maxn][2], siz[maxn];

struct star{
	DB value;
	int id1, id2;

	bool operator < (const star b)const{
		if(value != b.value)
			return value < b.value;
		if(min(merge_time[id1], merge_time[id2]) != min(merge_time[b.id1], merge_time[b.id2]))
			return min(merge_time[id1], merge_time[id2]) < min(merge_time[b.id1], merge_time[b.id2]);
		return max(merge_time[id1], merge_time[id2]) < max(merge_time[b.id1], merge_time[b.id2]);
	}
};

int main()
{
	ios::sync_with_stdio(0);
	cin.tie(0);

	int n;
	cin >> n;

	set<star> st;
	for(int i = 1; i <= n; ++i){
		cin >> sumx[i][0] >> sumy[i][0];
		sumx[i][1] = sumx[i][0] * sumx[i][0];
		sumy[i][1] = sumy[i][0] * sumy[i][0];
		siz[i] = 1;
		merge_time[i] = i;
	}

	
	auto calc_dist = [&](int i, int j) -> DB{
		auto _x = sumx[i][1] * siz[j] + sumx[j][1] * siz[i] - 2 * sumx[i][0] * sumx[j][0];
		auto _y = sumy[i][1] * siz[j] + sumy[j][1] * siz[i] - 2 * sumy[i][0] * sumy[j][0];
		return 1.0 * (_x + _y) / siz[i] / siz[j];
	};

	auto rem = [&](int i, int j) -> void{
		if(!siz[i] || !siz[j] || i == j)	
			return;
		int u = min(i, j), v = max(i, j);
		st.erase({calc_dist(u, v), u, v});
	};

	auto add = [&](int i, int j) -> void{
		if(!siz[i] || !siz[j] || i == j)	
			return;
		int u = min(i, j), v = max(i, j);
		st.insert({calc_dist(u, v), u, v});
	};
	

	auto merge = [&](int i, int j, int now) -> void{
		for(int k = 1; k <= n; ++k){
			rem(i, k); rem(j, k);
		}

		siz[i] += siz[j];
		siz[j] = 0;
		sumx[i][0] += sumx[j][0]; sumx[i][1] += sumx[j][1];
		sumy[i][0] += sumy[j][0]; sumy[i][1] += sumy[j][1];
		sumy[j][0] = sumy[j][1] = sumx[j][0] = sumx[j][1] = 0;
		merge_time[i] = now;
		merge_time[j] = n * n;

		for(int k = 1; k <= n; ++k){
			add(i, k);
		}
	};

	for(int i = 1; i <= n; ++i){
		for(int j = i + 1; j <= n; ++j){
			DB t = calc_dist(i, j);
			st.insert({t, i, j});
		}
	}

	for(int round = 1; round <= n - 1; ++round){
		auto tp = *(st.begin());
		st.erase(st.begin());
		int u = tp.id1, v = tp.id2;
		merge(u, v, n + round);
		// cerr << "merge " << u << " " << v << '\n'; 
		cout << siz[u] << '\n';
	}
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3652kb

input:

2
0 0
1 0

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 4261ms
memory: 159892kb

input:

2000
1000 -1000
1000 -999
1000 -998
1000 -997
1000 -996
1000 -995
1000 -994
1000 -993
1000 -992
1000 -991
1000 -990
1000 -989
1000 -988
1000 -987
1000 -986
1000 -985
1000 -984
1000 -983
1000 -982
1000 -981
1000 -980
1000 -979
1000 -978
1000 -977
1000 -976
1000 -975
1000 -974
1000 -973
1000 -972
1000...

output:

2
2
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...

result:

ok 1999 lines

Test #3:

score: 0
Accepted
time: 4122ms
memory: 159960kb

input:

2000
-1000 1000
-999 1000
-998 1000
-997 1000
-996 1000
-995 1000
-994 1000
-993 1000
-992 1000
-991 1000
-990 1000
-989 1000
-988 1000
-987 1000
-986 1000
-985 1000
-984 1000
-983 1000
-982 1000
-981 1000
-980 1000
-979 1000
-978 1000
-977 1000
-976 1000
-975 1000
-974 1000
-973 1000
-972 1000
-971...

output:

2
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...

result:

ok 1999 lines

Test #4:

score: 0
Accepted
time: 4114ms
memory: 159964kb

input:

2000
-1000 -1000
-999 -1000
-998 -1000
-997 -1000
-996 -1000
-995 -1000
-994 -1000
-993 -1000
-992 -1000
-991 -1000
-990 -1000
-989 -1000
-988 -1000
-987 -1000
-986 -1000
-985 -1000
-984 -1000
-983 -1000
-982 -1000
-981 -1000
-980 -1000
-979 -1000
-978 -1000
-977 -1000
-976 -1000
-975 -1000
-974 -10...

output:

2
2
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2
2
2
...

result:

ok 1999 lines

Test #5:

score: 0
Accepted
time: 4129ms
memory: 159960kb

input:

2000
-1000 -1000
-1000 -999
-1000 -998
-1000 -997
-1000 -996
-1000 -995
-1000 -994
-1000 -993
-1000 -992
-1000 -991
-1000 -990
-1000 -989
-1000 -988
-1000 -987
-1000 -986
-1000 -985
-1000 -984
-1000 -983
-1000 -982
-1000 -981
-1000 -980
-1000 -979
-1000 -978
-1000 -977
-1000 -976
-1000 -975
-1000 -9...

output:

2
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2
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...

result:

ok 1999 lines

Test #6:

score: 0
Accepted
time: 6041ms
memory: 159896kb

input:

2000
1000 -250
1000 -249
1000 -248
1000 -247
1000 -246
1000 -245
1000 -244
1000 -243
1000 -242
1000 -241
1000 -240
1000 -239
1000 -238
1000 -237
1000 -236
1000 -235
1000 -234
1000 -233
1000 -232
1000 -231
1000 -230
1000 -229
1000 -228
1000 -227
1000 -226
1000 -225
1000 -224
1000 -223
1000 -222
1000 ...

output:

2
2
2
2
2
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...

result:

ok 1999 lines

Test #7:

score: 0
Accepted
time: 4339ms
memory: 159896kb

input:

2000
0 -1000
0 -999
0 -998
0 -997
0 -996
0 -995
0 -994
0 -993
0 -992
0 -991
0 -990
0 -989
0 -988
0 -987
0 -986
0 -985
0 -984
0 -983
0 -982
0 -981
0 -980
0 -979
0 -978
0 -977
0 -976
0 -975
0 -974
0 -973
0 -972
0 -971
0 -970
0 -969
0 -968
0 -967
0 -966
0 -965
0 -964
0 -963
0 -962
0 -961
0 -960
0 -959
...

output:

2
2
2
2
2
2
2
2
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...

result:

ok 1999 lines

Test #8:

score: 0
Accepted
time: 8905ms
memory: 159976kb

input:

2000
-400 571
-725 636
-880 529
-657 372
-383 382
-746 888
-604 785
-497 557
-677 977
-562 917
-530 623
-636 535
-816 579
-633 428
-573 561
-496 479
-409 448
-570 379
-421 795
-827 865
-730 809
-423 984
-676 772
-398 816
-451 373
-756 777
-351 829
-954 345
-543 871
-595 521
-501 734
-378 769
-987 60...

output:

2
2
2
2
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3
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...

result:

ok 1999 lines

Test #9:

score: 0
Accepted
time: 8761ms
memory: 159844kb

input:

2000
-946 966
-655 760
-539 413
-857 715
-668 993
-543 399
-724 415
-584 464
-364 541
-518 756
-966 790
-648 616
-654 419
-842 544
-714 482
-636 984
-904 343
-559 925
-440 494
-636 780
-695 494
-585 465
-487 396
-683 886
-949 959
-668 518
-780 583
-854 612
-786 601
-527 758
-444 563
-994 840
-575 49...

output:

2
2
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...

result:

ok 1999 lines

Test #10:

score: 0
Accepted
time: 8959ms
memory: 159864kb

input:

2000
-707 382
-500 486
-927 357
-972 984
-738 591
-535 766
-610 603
-582 908
-923 676
-689 828
-940 783
-502 728
-971 384
-873 909
-824 412
-532 805
-715 448
-972 748
-423 975
-355 915
-943 453
-740 998
-776 457
-395 764
-805 337
-650 520
-656 612
-1000 841
-758 423
-414 762
-443 674
-666 469
-814 6...

output:

2
2
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2
2
...

result:

ok 1999 lines

Test #11:

score: 0
Accepted
time: 9072ms
memory: 159920kb

input:

2000
0 0
0 -1
1 -1
-1 1
-1 2
1 -2
3 0
1 -4
3 -3
-2 -4
-1 5
5 3
3 -6
4 6
-6 -5
4 -7
-2 9
1 -9
7 7
4 10
7 9
5 10
6 11
-5 12
-13 4
-5 13
14 2
10 11
-6 14
16 -1
11 -12
-14 -9
-14 11
15 11
-16 9
6 18
0 20
13 -15
9 -19
-10 -19
-21 8
-4 -22
-23 0
16 17
12 -21
-22 12
4 25
-14 -21
-7 -25
-3 -27
-27 1
23 16
1...

output:

2
2
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4
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2
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5
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7
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2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
9
3
2
2
2
2
2
2
3
3
3
6
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
8
2
2
2
2
2
2
2
2
2
3
3
4
4
2
2
2
2
11
3
3
2
2
2
2
2
2
4
2
2
2
2
2
2
2
2
2...

result:

ok 1999 lines

Test #12:

score: 0
Accepted
time: 8837ms
memory: 159916kb

input:

2000
0 0
-1 0
1 -1
0 -2
-1 -2
1 3
-3 1
3 2
-4 -1
-2 -4
4 4
-5 -3
-6 3
3 6
6 5
-7 4
-9 -2
8 5
3 -9
3 -10
11 0
8 -9
-6 -11
11 -7
6 12
-7 -12
0 -14
14 -5
-15 -1
-4 -15
-2 -16
-13 11
-15 -9
8 16
-18 -6
18 5
-16 12
-9 18
-1 -21
-15 -15
4 -22
-22 4
7 -22
19 -14
16 -18
15 19
-5 25
2 26
-1 26
-7 -26
23 -16
...

output:

2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
5
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
4
3
3
2
2
2
2
2
2
7
2
2
2
2
2
2
2
2
2
2
2
2
2
9
2
2
2
2
2
2
2
2
2
6
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
4
2
2
2
2
2
3
3
2
2
2
2
2
2
2
2
2
5
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
3
4
2
2
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #13:

score: 0
Accepted
time: 9137ms
memory: 160032kb

input:

2000
44 -748
385 448
-556 196
-569 -152
25 178
-865 609
644 -339
780 -558
429 676
469 712
876 987
-21 705
-742 679
375 970
-884 186
158 -340
-665 -673
153 484
-662 155
879 -724
-490 -785
-273 641
318 557
377 -706
260 695
-657 -926
-561 -315
861 -328
836 253
432 -505
-229 832
-774 -194
866 -951
171 6...

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
3
2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #14:

score: 0
Accepted
time: 9394ms
memory: 159912kb

input:

2000
594 213
978 59
312 909
-226 -78
361 -398
-349 80
-9 -489
862 -525
-104 442
817 901
-243 921
-398 -185
279 -86
29 971
161 187
103 920
-825 -631
997 -179
-883 -78
442 322
463 -867
174 836
-92 308
179 -281
-960 578
513 -27
-436 -585
435 -621
-630 898
816 -515
693 205
-855 -124
27 -819
5 325
-510 -...

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #15:

score: 0
Accepted
time: 9265ms
memory: 159896kb

input:

2000
30 -912
687 32
-171 -142
320 -399
-304 640
-449 -761
-616 -493
-948 -63
-597 689
821 -935
-24 959
-568 78
-311 -446
929 733
-41 497
-345 909
131 -65
626 143
93 317
240 -796
165 193
-435 -211
-413 -830
845 -457
261 -508
-561 732
-194 934
-615 761
762 -370
614 -348
-663 720
-857 -457
695 -769
668...

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
2
2
2
2
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3
2
2
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2
2
2
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2
2
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2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
4
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #16:

score: 0
Accepted
time: 2ms
memory: 3656kb

input:

4
0 0
0 -1
0 1
0 2

output:

2
2
4

result:

ok 3 lines