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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#180707#6560. Broken Minimum Spanning Treeneko_nyaaAC ✓9ms3696kbC++201.9kb2023-09-16 10:37:322023-09-16 10:37:33

Judging History

你现在查看的是最新测评结果

  • [2023-09-16 10:37:33]
  • 评测
  • 测评结果:AC
  • 用时:9ms
  • 内存:3696kb
  • [2023-09-16 10:37:32]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

#define int long long

struct DSU {
	vector<int> P, S;
	DSU(int n) {
		P.resize(n+1);
		S.resize(n+1, 1);
		for (int i = 1; i <= n; i++) P[i] = i;
	}
	
	int find(int x) {
		if (x == P[x]) return x;
		return P[x] = find(P[x]);
	}
	
	bool merge(int a, int b) {
		a = find(a); b = find(b);
		if (a == b) return 0;
		if (S[a] < S[b]) swap(a, b);
		
		S[a] += S[b];
		P[b] = a;
		return 1;
	}
	
	int same(int a, int b) {
		return find(a) == find(b);
	}
};

pair<int, int> rep(int n, int m, vector<pair<int, int>> &e, vector<int> &cur, vector<int> &mst) {
	// choose an edge in MST
	int add_id;
	for (int i = 0; i < m; i++) {
		if (!cur[i] && mst[i]) {
			add_id = i; break;
		}
	}

	// connect that
	DSU d(n);
	d.merge(e[add_id].first, e[add_id].second);

	// now connect whatever
	int del_id;
	for (int i = 0; i < m; i++) {
		if (cur[i] && mst[i]) {
			d.merge(e[i].first, e[i].second);
		}
	}
	for (int i = 0; i < m; i++) {
		if (cur[i] && !mst[i]) {
			if (d.merge(e[i].first, e[i].second)) {
				continue;
			} else {
				del_id = i; break;
			}
		}
	}

	cur[add_id] = 1;
	cur[del_id] = 0;
	return {del_id, add_id};
}

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

	int n, m; cin >> n >> m;
	vector<tuple<int, int, int, int>> edges;
	vector<pair<int, int>> e;
	for (int i = 0; i < m; i++) {
		int u, v, w; cin >> u >> v >> w;
		edges.emplace_back(w, i, u, v);
		e.emplace_back(u, v);
	}
	sort(edges.begin(), edges.end());

	vector<int> cur(m), mst(m);
	for (int i = 0; i < n-1; i++) {
		cur[i] = 1;
	} 

	DSU d(n);
	for (auto [w, i, x, y]: edges) {
		if (d.merge(x, y)) {
			mst[i] = 1;
		}
	}

	vector<pair<int, int>> ans;
	while (cur != mst) {
		ans.push_back(rep(n, m, e, cur, mst));
	}

	cout << ans.size() << '\n';
	for (auto [x, y]: ans) {
		cout << x+1 << ' ' << y+1 << '\n';
	}

	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3552kb

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: 2ms
memory: 3652kb

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: 1ms
memory: 3656kb

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: 1ms
memory: 3580kb

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: 0ms
memory: 3600kb

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: 3596kb

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: 1ms
memory: 3556kb

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
496 500
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...

result:

ok correct!

Test #9:

score: 0
Accepted
time: 1ms
memory: 3552kb

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: 0ms
memory: 3556kb

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: 0ms
memory: 3568kb

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
398 500
181 501
483 502
428 503
484 504
249 505
171 506
115 507
179 508
81 509
274 510
177 511
147 512
12 513
379 514
53 515
392 516
381 517
52 518
71 519
224 520
493 521
278 522
490 523
215 524
385 525
17 526
121 527
357 528
135 529
229 530
47 531
343 532
314 533
103 534
149 535
150 536
204 537...

result:

ok correct!

Test #12:

score: 0
Accepted
time: 1ms
memory: 3628kb

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: 3628kb

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: 2ms
memory: 3656kb

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
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 #15:

score: 0
Accepted
time: 0ms
memory: 3444kb

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
9 10
6 14
2 15
7 17
3 20

result:

ok correct!

Test #16:

score: 0
Accepted
time: 1ms
memory: 3548kb

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
77 103
65 104
96 107
64 108
87 109
47 112
74 115
69 116
58 120
15 121
92 125
80 126
36 127
25 131
60 132
44 134
75 135
41 136
24 137
16 138
83 145
28 148
52 150
89 152
7 153
39 156
21 157
61 160
13 163
19 166
9 168
10 170
35 171
49 174
81 176
2 177
45 180
3 181
20 182
17 183
8 184
95 185
23 186
5...

result:

ok correct!

Test #17:

score: 0
Accepted
time: 6ms
memory: 3656kb

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
311 2000
1754 2001
673 2002
1975 2003
1658 2008
1538 2009
912 2011
425 2014
133 2016
1992 2017
963 2018
866 2019
147 2021
401 2023
977 2025
229 2026
1003 2027
1089 2029
1281 2030
1877 2031
1172 2033
567 2034
572 2037
245 2038
146 2040
1782 2041
272 2043
1184 2045
1643 2046
589 2047
283 2048
642 ...

result:

ok correct!

Test #18:

score: 0
Accepted
time: 9ms
memory: 3656kb

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
1784 2000
1110 2001
876 2003
636 2004
341 2006
1131 2007
564 2008
50 2009
854 2010
1674 2011
629 2015
181 2016
1522 2017
950 2018
1927 2019
1510 2021
672 2022
1719 2023
167 2024
1255 2027
1330 2028
527 2029
924 2031
912 2034
1302 2035
1351 2037
818 2039
590 2042
928 2043
41 2045
400 2048
1647 20...

result:

ok correct!

Test #19:

score: 0
Accepted
time: 8ms
memory: 3664kb

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
1428 2000
1446 2001
1090 2002
378 2005
1288 2006
1238 2007
1809 2008
1878 2010
106 2011
859 2012
380 2014
1441 2016
1156 2017
1140 2019
1886 2021
55 2022
220 2023
590 2024
1552 2025
446 2026
1923 2027
1859 2028
525 2031
1261 2032
303 2033
698 2035
376 2037
1810 2039
1154 2041
354 2042
674 2044
1...

result:

ok correct!

Test #20:

score: 0
Accepted
time: 9ms
memory: 3660kb

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
1332 2000
1296 2002
959 2003
1878 2007
1383 2008
717 2010
633 2011
1221 2013
834 2014
1132 2017
1264 2018
1519 2019
805 2020
1681 2022
461 2023
1628 2024
1715 2025
1505 2026
1661 2027
1427 2028
902 2031
119 2032
1905 2034
266 2035
1446 2039
914 2040
741 2042
1514 2045
630 2046
1012 2047
1323 204...

result:

ok correct!

Test #21:

score: 0
Accepted
time: 6ms
memory: 3664kb

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
1659 2000
446 2004
1414 2005
1427 2006
428 2007
1765 2008
1271 2009
1087 2010
409 2013
1644 2016
1729 2018
324 2019
1944 2020
1932 2025
1670 2026
1658 2027
450 2029
618 2030
612 2031
1109 2033
1700 2035
502 2037
563 2038
291 2039
982 2040
423 2043
823 2044
1860 2047
849 2050
1169 2051
336 2052
1...

result:

ok correct!

Test #22:

score: 0
Accepted
time: 1ms
memory: 3696kb

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: 3648kb

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: 6ms
memory: 3688kb

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
1995 2000
1977 2002
1934 2003
1992 2004
1818 2006
1972 2007
1555 2008
1987 2010
1919 2011
1684 2012
1887 2013
1979 2015
1936 2017
1920 2018
1839 2022
1984 2023
1888 2024
1756 2025
1926 2026
1906 2027
1566 2028
1862 2029
1713 2031
1842 2032
1956 2033
1895 2035
1883 2036
1777 2038
1430 2039
1707 2...

result:

ok correct!

Test #25:

score: 0
Accepted
time: 3ms
memory: 3616kb

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
1999 2000
1995 2001
1996 2002
1989 2003
1961 2004
1932 2005
1986 2008
1975 2009
1990 2010
1981 2011
1947 2018
1978 2020
1962 2021
1965 2025
1950 2026
1953 2027
1985 2028
1955 2030
1893 2031
1912 2034
1933 2035
1942 2037
1976 2040
1896 2043
1946 2044
1924 2045
1906 2046
1844 2047
1879 2053
1802 2...

result:

ok correct!

Test #26:

score: 0
Accepted
time: 1ms
memory: 3444kb

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

result:

ok correct!