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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#355676#6560. Broken Minimum Spanning Treeec1117AC ✓564ms4104kbC++143.2kb2024-03-17 01:50:162024-03-17 01:50:17

Judging History

你现在查看的是最新测评结果

  • [2024-03-17 01:50:17]
  • 评测
  • 测评结果:AC
  • 用时:564ms
  • 内存:4104kb
  • [2024-03-17 01:50:16]
  • 提交

answer

#include <bits/stdc++.h>
#include <random>
using namespace std;
 
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pi;
typedef vector<int> vi; 
typedef vector<pi> vpi;

#define mp make_pair
#define f first
#define s second
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rsz resize
#define bk back()
#define pb push_back

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define For(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)

const int MOD = 1e9+7;
const ld PI = acos((ld)-1);
mt19937 rng; // or mt19937_64
template<class T> bool ckmin(T& a, const T& b) { 
	return b < a ? a = b, 1 : 0; }

void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
	cerr << h; if (sizeof...(t)) cerr << ", ";
	DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "LINE(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 0
#endif

const int MX = 3e3;

/**
 * Description: Disjoint Set Union with path compression
 	* and union by size. Add edges and test connectivity. 
 	* Use for Kruskal's or Boruvka's minimum spanning tree.
 * Time: O(\alpha(N))
 * Source: CSAcademy, KACTL
 * Verification: USACO superbull
 */

struct DSU {
	vi e; void init(int n) { e = vi(n,-1); }
	int get(int x) { return e[x] < 0 ? x : e[x] = get(e[x]); } 
	bool sameSet(int a, int b) { return get(a) == get(b); }
	int size(int x) { return -e[get(x)]; }
	bool unite(int x, int y) { // union by size
		x = get(x), y = get(y); if (x == y) return 0;
		if (e[x] > e[y]) swap(x,y);
		e[x] += e[y]; e[y] = x; return 1;
	}
};

/**template<class T> T kruskal(int n, vector<pair<T,pi>> ed) {
	sort(all(ed));
	T ans = 0; DSU D; D.init(n+1); // edges that unite are in MST
	trav(a,ed) if (D.unite(a.s.f,a.s.s)) ans += a.f; 
	return ans;
}*/

vector<pair<pi,int>> adj[MX], inp;
vector<pair<pi,pi>> edg;
vpi ans;
set<pair<pi,int>> active;

int main() {
	ios_base::sync_with_stdio(0); cin.tie(0); 
	int n,m;cin>>n>>m;

	For(i,m) {
		int u,v,w;cin>>u>>v>>w;
		u--;v--;
		if(v<u)swap(u,v);
		adj[u].pb({{v,w},i});
		adj[v].pb({{u,w},i});
		edg.pb({{u,v},{w,i}});
		inp.pb({{u,v},w});
		if(i<n-1) {
			dbg(u,v,i);
			active.insert({{u,v},i});	
		}
	}
	vpi ord;
	For(i,n-1) {
		ord.pb({inp[i].s,i});
	}
	sort(all(ord));
	reverse(all(ord));

	trav(x,ord) {
		int i = x.s;
		DSU dsu;
		dsu.init(n);
		trav(x,active) {
			if(x.s!=i) {
				dsu.unite(x.f.f,x.f.s);
			}
		}
		int mn = inp[i].s, mni=-1;
		trav(x,edg) {
			dbg(x.f.f, x.f.s, !active.count({x.f,x.s.s}), x.s.f);
			if (!active.count({x.f,x.s.s}) && !dsu.sameSet(x.f.f,x.f.s) && x.s.f < mn) {
				mn = x.s.f;
				mni = x.s.s;
			}
		}
		if (mn!=inp[i].s) {
			active.erase({inp[i].f,i});
			active.insert({inp[mni].f,mni});
			ans.pb({i+1, mni+1});
		}
	}
	cout << ans.size() << '\n';
	trav(x,ans) {
		cout << x.f << " " << x.s << '\n';
	}
}


/* stuff you should look for
	* int overflow, array bounds
	* special cases (n=1?)
	* do smth instead of nothing and stay organized
	* WRITE STUFF DOWN
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3688kb

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: 0ms
memory: 3680kb

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
5 8
2 7

result:

ok correct!

Test #3:

score: 0
Accepted
time: 326ms
memory: 3900kb

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: 267ms
memory: 3996kb

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: 336ms
memory: 3932kb

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: 11ms
memory: 3956kb

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: 5ms
memory: 3736kb

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: 9ms
memory: 3804kb

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
499 998
498 997
497 996
496 500
495 995
494 994
493 993
492 992
491 991
490 990
489 989
488 988
487 987
486 986
485 985
484 984
483 983
482 982
481 981
480 980
479 979
478 978
477 977
476 976
475 975
474 974
473 973
472 972
471 971
470 970
469 969
468 968
467 967
466 966
465 965
464 964
463 963
...

result:

ok correct!

Test #9:

score: 0
Accepted
time: 22ms
memory: 3796kb

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: 18ms
memory: 3724kb

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: 25ms
memory: 3812kb

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
498 547
497 665
496 750
495 751
494 671
493 521
492 741
491 582
490 523
489 815
488 817
487 656
486 907
485 905
484 504
483 502
482 954
481 827
480 860
479 739
478 955
477 733
476 717
475 565
474 853
473 958
472 672
471 767
470 877
469 628
468 785
467 876
466 910
465 816
464 781
463 771
...

result:

ok correct!

Test #12:

score: 0
Accepted
time: 22ms
memory: 3976kb

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: 21ms
memory: 3696kb

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: 26ms
memory: 3824kb

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
499 998
498 997
497 996
496 995
495 994
494 993
493 992
492 991
491 990
490 989
489 988
488 987
487 986
486 985
485 984
484 983
483 982
482 981
481 980
480 979
479 978
478 977
477 976
476 975
475 974
474 973
473 972
472 971
471 970
470 969
469 968
468 967
467 966
466 965
465 964
464 963
463 962
...

result:

ok correct!

Test #15:

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

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
3 10
6 14
7 17
2 15
9 20

result:

ok correct!

Test #16:

score: 0
Accepted
time: 1ms
memory: 3660kb

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
9 134
83 145
25 132
44 168
13 174
52 150
95 185
96 107
31 194
75 135
87 109
15 196
6 180
81 176
5 181
80 171
67 197
8 182
49 126
20 184
24 195
7 153
65 170
60 104
50 137
71 115
36 127
17 103
58 120
3 116
19 157
69 125
89 152
23 186
2 131
47 112
61 160
10 156
45 166
4 189
39 183
35 121
92 190
77 1...

result:

ok correct!

Test #17:

score: 0
Accepted
time: 560ms
memory: 4104kb

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
1936 2284
27 2769
1792 2801
1079 2696
1467 2353
335 2721
1523 2159
1295 2248
1650 2891
1577 2817
2 2921
1805 2996
565 2360
67 2442
923 2143
1480 2746
1969 2411
940 2707
849 2687
1315 2760
1040 2470
1794 2277
427 2031
1477 2326
912 2011
1188 2911
1483 2962
64 2125
1938 2792
401 2669
1535 2685
131...

result:

ok correct!

Test #18:

score: 0
Accepted
time: 557ms
memory: 4016kb

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
596 2524
856 2992
1539 2000
782 2255
284 2479
1146 2824
764 2079
629 2015
1965 2720
1674 2011
122 2897
1857 2091
1386 2244
604 2999
1147 2320
829 2903
1313 2391
539 2634
65 2185
1532 2765
924 2031
633 2573
636 2004
115 2239
1110 2001
142 2966
1073 2483
985 2685
1622 2339
1454 2411
1589 2073
232 ...

result:

ok correct!

Test #19:

score: 0
Accepted
time: 564ms
memory: 4068kb

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
1343 2218
1630 2639
981 2680
1197 2430
132 2107
757 2417
1573 2643
1633 2074
1140 2019
458 2881
547 2295
874 2783
252 2140
715 2789
1139 2456
22 2845
278 2276
362 2092
1441 2016
1953 2670
1886 2021
1487 2172
1947 2718
343 2788
1009 2434
1589 2934
1308 2959
1078 2319
1977 2723
943 2707
182 2225
8...

result:

ok correct!

Test #20:

score: 0
Accepted
time: 564ms
memory: 4064kb

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
500 2324
1391 2161
942 2451
824 2975
536 2603
1351 2977
816 2948
653 2522
628 2474
1923 2419
443 2575
763 2996
751 2813
1319 2913
633 2700
416 2471
297 2204
456 2973
309 2936
1595 2562
1692 2736
1638 2318
561 2599
1368 2200
832 2242
1675 2202
185 2416
91 2910
754 2877
1230 2836
797 2422
1429 253...

result:

ok correct!

Test #21:

score: 0
Accepted
time: 561ms
memory: 4060kb

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
722 2080
172 2841
1861 2171
1227 2390
1372 2347
579 2653
523 2162
1988 2999
1074 2549
1271 2962
1013 2553
1795 2876
87 2685
553 2423
940 2400
1478 2149
551 2798
239 2982
513 2802
574 2344
1880 2714
1012 2095
292 2885
782 2972
883 2255
1560 2066
1899 2143
1072 2843
1849 2945
1250 2934
428 2973
45...

result:

ok correct!

Test #22:

score: 0
Accepted
time: 1ms
memory: 3832kb

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: 263ms
memory: 3996kb

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: 392ms
memory: 4036kb

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
1281 2405
592 2035
1813 2155
1739 2306
1310 2118
1341 2388
185 2476
1984 2077
792 2473
1405 2090
484 2236
988 2176
588 2119
239 2138
1652 2029
562 2377
815 2415
1287 2463
366 2247
1367 2196
499 2175
1250 2404
1934 2418
1956 2184
1774 2057
1128 2450
1624 2297
8 2274
1019 2494
1177 2075
1055 2296
...

result:

ok correct!

Test #25:

score: 0
Accepted
time: 492ms
memory: 3984kb

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
983 2632
785 2566
759 2075
1022 2037
179 2531
1009 2468
1394 2244
182 2216
1942 2539
1764 2715
1999 2959
1714 2618
1940 2590
1830 2250
1404 2797
1414 2451
981 2124
1036 2249
853 2971
337 2102
1610 2985
530 2218
605 2345
1893 2526
965 2525
275 2579
831 2144
1758 2123
1004 2832
1805 2317
373 2498
...

result:

ok correct!

Test #26:

score: 0
Accepted
time: 1ms
memory: 3636kb

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

result:

ok correct!