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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
#122031#6560. Broken Minimum Spanning Treetacoref#AC ✓36ms3752kbC++172.2kb2023-07-09 10:23:432023-07-09 10:23:44

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.
  • [2023-07-09 10:23:44]
  • 评测
  • 测评结果:AC
  • 用时:36ms
  • 内存:3752kb
  • [2023-07-09 10:23:43]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pi = array<lint, 2>;
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
const int MAXN = 3005;

struct disj {
	int pa[MAXN];
	void init(int n) {
		for (int i = 0; i < n; i++)
			pa[i] = i;
	}
	int find(int x) { return pa[x] = (pa[x] == x ? x : find(pa[x])); }
	bool uni(int p, int q) {
		p = find(p);
		q = find(q);
		if (p == q)
			return 0;
		pa[q] = p;
		return 1;
	}
} disj;

bool is_mst[MAXN];

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	int n, m;
	cin >> n >> m;
	vector<array<int, 5>> edges;
	vector<array<int, 3>> g1, g2;
	for (int i = 0; i < m; i++) {
		int u, v, w;
		cin >> u >> v >> w;
		u--;
		v--;
		if (i < n - 1) {
			g1.push_back({i, u, v});
		}
		edges.push_back({w, (i >= n - 1 ? 0 : -1), u, v, i});
	}
	sort(all(edges));
	disj.init(n);
	for (int i = 0; i < m; i++) {
		if (disj.uni(edges[i][2], edges[i][3])) {
			g2.push_back({edges[i][4], edges[i][2], edges[i][3]});
			is_mst[edges[i][4]] = 1;
		}
	}
	vector<pi> ans;
	while (true) {
		vector<vector<pi>> gph(n);
		disj.init(n);
		vector<array<int, 3>> need_rep;
		for (auto &[i, u, v] : g1) {
			if (is_mst[i])
				disj.uni(u, v);
			else {
				need_rep.push_back({i, u, v});
			}
		}
		if (sz(need_rep) == 0)
			break;
		for (auto &[i, u, v] : need_rep) {
			u = disj.find(u);
			v = disj.find(v);
			gph[u].push_back({i, v});
			gph[v].push_back({i, u});
		}
		for (int i = 0; i < n; i++) {
			if (disj.find(i) == i && sz(gph[i]) == 1) {
				auto across = [&](int u, int v) {
					int x1 = disj.find(u) == disj.find(i);
					int x2 = disj.find(v) == disj.find(i);
					return x1 != x2;
				};
				int tr = -1, ta = -1;
				for (int i = 0; i < sz(g1); i++) {
					if (across(g1[i][1], g1[i][2])) {
						tr = g1[i][0] + 1;
						g1.erase(g1.begin() + i);
						break;
					}
				}
				for (auto &[i, u, v] : g2) {
					if (across(u, v)) {
						ta = i + 1;
						g1.push_back({i, u, v});
						break;
					}
				}
				ans.push_back({tr, ta});
				break;
			}
		}
	}
	cout << sz(ans) << "\n";
	for (auto &[x, y] : ans)
		cout << x << " " << y << "\n";
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3416kb

input:

4 4
1 2 10
2 3 3
3 4 1
1 4 4

output:

1
1 4

result:

ok correct!

Test #2:

score: 0
Accepted
time: 1ms
memory: 3484kb

input:

6 8
1 2 10
2 3 10
3 4 10
4 5 10
5 6 10
6 1 10
1 3 1
4 6 1

output:

2
2 7
5 8

result:

ok correct!

Test #3:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

2000 1999
1262 1505 968661582
323 1681 787089412
1132 129 88786681
1909 587 762050278
979 1371 230688681
1686 521 980519364
975 191 887826021
869 461 899130441
1433 259 961154249
1718 547 721696188
1254 1042 458319755
1779 267 85751052
1170 813 283230029
309 20 971682908
224 417 255325364
1084 986 7...

output:

0

result:

ok correct!

Test #4:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

1999 1998
1757 1820 444157563
1757 395 754598547
1757 1571 432619009
1757 1009 456234067
1757 824 935569725
1757 1698 476714469
1757 1420 901765343
1757 1175 225295107
1757 1512 721959801
1757 1585 955067704
1757 1739 635181418
1757 1686 891225461
1757 84 132683224
1757 1696 48915557
1757 1623 42602...

output:

0

result:

ok correct!

Test #5:

score: 0
Accepted
time: 2ms
memory: 3600kb

input:

1999 1998
1345 647 232183406
40 837 279910457
819 857 137486924
255 1378 517489941
827 1565 894953662
1556 1545 898170464
965 877 72248541
1631 298 635713424
895 197 366305735
966 1160 515776809
1870 1638 220711661
1736 220 716014108
1914 1609 759121968
1293 153 272816132
1936 1433 263859075
985 460...

output:

0

result:

ok correct!

Test #6:

score: 0
Accepted
time: 1ms
memory: 3528kb

input:

500 998
105 1 1
105 2 1
105 3 1
105 4 1
105 5 1
105 6 1
105 7 1
105 8 1
105 9 1
105 10 1
105 11 1
105 12 1
105 13 1
105 14 1
105 15 1
105 16 1
105 17 1
105 18 1
105 19 1
105 20 1
105 21 1
105 22 1
105 23 1
105 24 1
105 25 1
105 26 1
105 27 1
105 28 1
105 29 1
105 30 1
105 31 1
105 32 1
105 33 1
105 ...

output:

0

result:

ok correct!

Test #7:

score: 0
Accepted
time: 1ms
memory: 3544kb

input:

500 998
364 1 1
364 2 1
364 3 1
364 4 1
364 5 1
364 6 1
364 7 1
364 8 1
364 9 1
364 10 1
364 11 1
364 12 1
364 13 1
364 14 1
364 15 1
364 16 1
364 17 1
364 18 1
364 19 1
364 20 1
364 21 1
364 22 1
364 23 1
364 24 1
364 25 1
364 26 1
364 27 1
364 28 1
364 29 1
364 30 1
364 31 1
364 32 1
364 33 1
364 ...

output:

0

result:

ok correct!

Test #8:

score: 0
Accepted
time: 8ms
memory: 3596kb

input:

500 998
86 1 2
86 2 2
86 3 2
86 4 2
86 5 2
86 6 2
86 7 2
86 8 2
86 9 2
86 10 2
86 11 2
86 12 2
86 13 2
86 14 2
86 15 2
86 16 2
86 17 2
86 18 2
86 19 2
86 20 2
86 21 2
86 22 2
86 23 2
86 24 2
86 25 2
86 26 2
86 27 2
86 28 2
86 29 2
86 30 2
86 31 2
86 32 2
86 33 2
86 34 2
86 35 2
86 36 2
86 37 2
86 38...

output:

499
1 500
2 501
3 502
4 503
5 504
6 505
7 506
8 507
9 508
10 509
11 510
12 511
13 512
14 513
15 514
16 515
17 516
18 517
19 518
20 519
21 520
22 521
23 522
24 523
25 524
26 525
27 526
28 527
29 528
30 529
31 530
32 531
33 532
34 533
35 534
36 535
37 536
38 537
39 538
40 539
41 540
42 541
43 542
44 5...

result:

ok correct!

Test #9:

score: 0
Accepted
time: 1ms
memory: 3484kb

input:

500 998
198 227 1
227 315 1
315 426 1
426 400 1
400 61 1
61 143 1
143 487 1
487 65 1
65 415 1
415 434 1
434 327 1
327 190 1
190 411 1
411 51 1
51 91 1
91 364 1
364 185 1
185 393 1
393 89 1
89 53 1
53 66 1
66 69 1
69 13 1
13 5 1
5 45 1
45 314 1
314 291 1
291 490 1
490 92 1
92 175 1
175 458 1
458 218 ...

output:

0

result:

ok correct!

Test #10:

score: 0
Accepted
time: 1ms
memory: 3580kb

input:

500 998
360 250 1
250 71 1
71 170 1
170 492 1
492 419 1
419 145 1
145 188 1
188 433 1
433 186 1
186 161 1
161 398 1
398 19 1
19 479 1
479 401 1
401 40 1
40 176 1
176 212 1
212 353 1
353 290 1
290 43 1
43 322 1
322 447 1
447 47 1
47 468 1
468 456 1
456 343 1
343 339 1
339 52 1
52 251 1
251 130 1
130 ...

output:

0

result:

ok correct!

Test #11:

score: 0
Accepted
time: 11ms
memory: 3504kb

input:

500 998
369 45 2
45 364 2
364 300 2
300 195 2
195 291 2
291 390 2
390 122 2
122 331 2
331 408 2
408 91 2
91 298 2
298 116 2
116 301 2
301 287 2
287 338 2
338 4 2
4 79 2
79 177 2
177 387 2
387 125 2
125 477 2
477 11 2
11 284 2
284 102 2
102 305 2
305 395 2
395 112 2
112 280 2
280 294 2
294 232 2
232 ...

output:

499
499 810
498 548
1 826
2 743
3 651
4 801
5 993
6 846
7 867
8 790
9 912
10 500
11 927
12 573
13 514
14 883
15 720
16 941
17 555
18 527
19 569
20 965
21 594
497 665
496 751
495 750
494 671
493 521
492 742
491 583
490 523
489 815
488 817
487 656
486 908
485 906
484 504
483 503
482 954
481 828
480 86...

result:

ok correct!

Test #12:

score: 0
Accepted
time: 0ms
memory: 3480kb

input:

500 998
298 314 1
467 314 1
9 314 1
345 298 1
497 298 1
315 467 1
147 345 1
154 345 1
16 345 1
226 497 1
406 147 1
204 298 1
351 406 1
432 314 1
274 406 1
340 274 1
395 226 1
173 315 1
180 274 1
207 9 1
495 204 1
213 298 1
413 207 1
450 204 1
25 147 1
161 497 1
231 180 1
175 467 1
199 231 1
454 231 ...

output:

0

result:

ok correct!

Test #13:

score: 0
Accepted
time: 1ms
memory: 3476kb

input:

500 998
42 349 1
256 42 1
202 349 1
23 42 1
252 42 1
175 42 1
67 252 1
302 67 1
337 252 1
495 252 1
14 349 1
347 202 1
494 495 1
206 347 1
1 302 1
434 349 1
475 206 1
243 206 1
135 494 1
179 495 1
226 202 1
490 226 1
481 1 1
165 243 1
114 495 1
463 256 1
282 114 1
411 202 1
25 1 1
163 67 1
388 179 1...

output:

0

result:

ok correct!

Test #14:

score: 0
Accepted
time: 13ms
memory: 3516kb

input:

500 998
493 328 2
444 493 2
356 328 2
374 328 2
135 328 2
292 444 2
323 135 2
296 328 2
407 493 2
207 374 2
118 296 2
490 135 2
357 323 2
464 292 2
279 323 2
183 493 2
81 356 2
367 407 2
235 356 2
354 292 2
479 464 2
214 118 2
406 357 2
164 279 2
230 356 2
380 164 2
399 135 2
344 81 2
190 490 2
422 ...

output:

499
197 696
311 810
179 678
371 870
143 642
72 721
477 976
253 752
238 738
400 899
183 682
262 761
391 890
427 926
154 653
39 538
421 920
233 732
140 824
224 723
470 969
283 782
292 791
491 990
454 953
91 590
441 940
244 743
42 541
350 849
147 646
326 825
172 671
261 760
335 834
267 797
354 853
276 ...

result:

ok correct!

Test #15:

score: 0
Accepted
time: 0ms
memory: 3440kb

input:

10 20
3 5 132699872
7 3 667475629
10 7 829222331
1 7 265644695
4 3 226461311
2 7 720348681
6 10 703702759
8 4 153004599
9 10 646988804
1 9 45480111
2 4 784301144
1 9 628023542
7 8 449200681
9 2 240371799
3 2 420603433
3 9 838425734
4 6 623790050
1 7 513829155
1 9 883183260
10 3 422484921

output:

5
6 14
7 17
2 15
3 10
9 20

result:

ok correct!

Test #16:

score: 0
Accepted
time: 1ms
memory: 3440kb

input:

100 200
69 52 334673965
90 52 598347660
62 52 671196898
38 90 561150605
97 69 844448459
25 90 865251171
41 38 773653441
49 97 813975775
99 41 996226580
54 69 583281785
34 38 385173507
56 97 285801905
17 38 946715780
67 17 139770128
43 97 890101081
68 90 370458274
74 17 698466900
6 67 19950896
58 56 ...

output:

50
69 125
92 195
65 181
45 180
35 171
9 134
28 108
64 148
58 120
87 109
6 116
50 190
80 126
74 115
8 182
49 174
96 107
10 170
61 160
36 127
52 150
15 121
67 145
83 197
31 194
89 152
71 192
41 184
20 196
77 103
39 168
81 176
75 135
17 183
13 163
47 112
24 137
16 131
23 186
7 153
4 189
2 177
19 157
60...

result:

ok correct!

Test #17:

score: 0
Accepted
time: 36ms
memory: 3648kb

input:

2000 3000
1279 1465 434468566
1062 1279 993799662
1494 1465 490141333
529 1279 207090506
119 1279 494706603
1830 1062 798435525
1307 1279 501822892
362 119 776215279
1330 1494 64095945
1823 529 302809447
1882 529 298925061
1394 529 639185117
1852 362 939130818
752 529 845078929
104 752 853251112
126...

output:

617
308 2657
1817 2828
125 2905
310 2712
1188 2911
1274 2802
1712 2492
1194 2622
954 2567
1180 2892
1377 2430
328 2651
1689 2186
1281 2812
408 2030
1792 2801
1049 2074
1229 2045
1184 2333
1934 2796
627 2388
295 2251
1472 2196
1406 2255
1991 2321
1888 2667
143 2449
1535 2685
813 2201
1114 2693
1964 2...

result:

ok correct!

Test #18:

score: 0
Accepted
time: 36ms
memory: 3684kb

input:

2000 3000
285 1808 694643588
224 285 690510187
908 1808 663193044
486 224 663712643
324 908 165916788
1403 285 948845412
1310 324 12561437
1948 285 642808470
883 1310 358793640
396 1808 869731392
1276 1310 621641177
203 1948 231802320
1547 1276 39692873
830 285 636658714
1357 1948 177401445
303 203 ...

output:

613
1619 2436
1094 2412
777 2172
1031 2718
912 2621
1892 2923
928 2043
964 2287
1622 2339
1502 2313
1413 2529
157 2737
664 2795
781 2573
1325 2151
1379 2658
1603 2896
1602 2160
847 2378
1751 2089
1574 2284
1478 2702
915 2611
153 2818
634 2977
527 2430
273 2776
1111 2970
1015 2323
506 2216
1515 2727
...

result:

ok correct!

Test #19:

score: 0
Accepted
time: 35ms
memory: 3752kb

input:

2000 3000
1966 1337 886061561
1564 1966 321739163
878 1966 383102115
15 1337 355428698
392 15 389233814
1520 1337 163779508
1349 392 323493610
1126 1349 804548395
1739 1337 508691040
956 1564 924027693
674 1126 845489957
1749 1739 290423046
1926 1966 647294733
456 1966 656155212
1746 1564 106274278
...

output:

603
1080 2947
485 2783
874 2208
1132 2514
828 2924
1953 2670
1087 2079
561 2192
1469 2983
635 2684
190 2214
109 2253
359 2780
590 2024
1671 2106
1107 2910
827 2574
1371 2099
1224 2467
1875 2349
313 2937
1050 2237
441 2281
741 2077
1057 2280
1833 2621
757 2417
1985 2418
1385 2414
814 2425
1859 2028
1...

result:

ok correct!

Test #20:

score: 0
Accepted
time: 36ms
memory: 3740kb

input:

2000 3000
487 1828 891595258
848 1828 70120465
399 1828 222566316
2000 1828 390057442
589 487 561090448
1878 399 923567050
1547 848 289163461
724 1828 712597149
856 487 612088317
1932 848 498697630
177 1932 225589816
1541 856 745128386
1229 399 501103338
40 1828 283700123
1206 1878 364593718
519 40 ...

output:

624
654 2490
997 2202
518 2862
1549 2581
773 2081
1091 2130
601 2644
396 2797
1775 2640
109 2054
1018 2922
1047 2108
780 2162
1595 2562
855 2536
1899 2393
1963 2790
277 2660
1779 2832
1269 2223
385 2461
1670 2600
1933 2475
461 2621
793 2253
1589 2138
1561 2400
769 2448
1454 2183
570 2470
1467 2638
4...

result:

ok correct!

Test #21:

score: 0
Accepted
time: 36ms
memory: 3716kb

input:

2000 3000
28 909 901469954
874 909 630039044
1150 874 369081856
180 1150 796073964
199 874 607566492
1260 1150 672891947
233 180 524809142
390 909 531859461
122 874 275924720
457 1260 521407422
872 28 975420599
497 872 901775699
885 390 839588422
1242 199 380484388
1598 28 823494399
202 885 41696165...

output:

618
754 2416
548 2418
1264 2508
1954 2071
1773 2355
1676 2287
1740 2438
1899 2143
677 2921
1100 2054
1086 2173
549 2572
1644 2016
1603 2783
1509 2606
1477 2744
1181 2912
437 2033
1366 2471
860 2205
1277 2499
228 2532
1350 2552
194 2070
1942 2574
544 2785
1819 2934
1812 2747
787 2537
782 2972
1279 23...

result:

ok correct!

Test #22:

score: 0
Accepted
time: 2ms
memory: 3552kb

input:

2 3000
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1
1 2 1...

output:

0

result:

ok correct!

Test #23:

score: 0
Accepted
time: 2ms
memory: 3632kb

input:

2000 2000
273 274 976318149
1818 1819 911362963
920 921 733992701
1147 1148 968069222
1076 1077 479630568
1576 1577 723601562
860 861 477629418
747 748 636289483
219 220 254346042
610 611 561106993
1173 1174 117741584
1788 1789 433959137
437 438 566901968
723 724 578256290
984 985 201368344
954 955 ...

output:

1
1575 2000

result:

ok correct!

Test #24:

score: 0
Accepted
time: 18ms
memory: 3672kb

input:

2000 2500
1936 1937 470205868
750 751 637463850
75 76 353874306
1012 1013 575007557
679 680 452883390
268 269 382879319
1885 1886 619233286
1617 1618 985926999
365 366 731212904
703 704 136815299
1543 1544 6628104
1586 1587 963856921
1904 1905 377843376
254 255 540189789
690 691 218468543
1169 1170 ...

output:

371
1018 2000
413 2091
1454 2168
166 2247
1128 2441
1334 2468
842 2045
267 2471
716 2035
1685 2296
1731 2207
1302 2450
1585 2239
387 2312
872 2215
175 2459
1342 2148
1984 2442
592 2077
460 2453
1426 2283
1623 2307
1765 2448
1922 2118
189 2276
774 2128
976 2318
67 2110
1830 2219
375 2265
50 2070
65 2...

result:

ok correct!

Test #25:

score: 0
Accepted
time: 29ms
memory: 3696kb

input:

2000 3000
1100 1101 966680160
584 585 619523116
196 197 969093892
1265 1266 112963336
1463 1464 437550508
1320 1321 888461822
1414 1415 755948833
897 898 48495011
365 366 564439441
869 870 108232038
1323 1324 469077928
1432 1433 609528786
1885 1886 447585062
81 82 480544752
1819 1820 385633491
1371 ...

output:

588
1557 2000
1034 2073
1621 2185
212 2253
580 2562
322 2781
677 2569
1680 2188
764 2123
1290 2163
1758 2659
142 2576
1486 2591
620 2756
912 2170
454 2738
339 2922
637 2878
111 2124
926 2523
1600 2105
1205 2967
51 2655
1045 2805
965 2671
981 2525
470 2379
998 2879
72 2135
547 2938
877 2632
1624 2680...

result:

ok correct!

Test #26:

score: 0
Accepted
time: 1ms
memory: 3440kb

input:

10 18
2 6 2
6 1 2
1 10 2
10 4 2
4 3 2
3 9 2
9 8 2
8 5 2
5 7 2
2 4 1
4 10 1
10 3 1
3 5 1
5 6 1
6 7 1
7 8 1
8 1 1
1 9 1

output:

9
1 10
2 14
3 18
9 15
8 13
7 16
6 17
5 12
4 11

result:

ok correct!