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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
#730045#6560. Broken Minimum Spanning Treeahsoltan#AC ✓30ms4168kbC++202.7kb2024-11-09 18:26:522024-11-09 18:26:52

Judging History

你现在查看的是最新测评结果

  • [2024-11-09 18:26:52]
  • 评测
  • 测评结果:AC
  • 用时:30ms
  • 内存:4168kb
  • [2024-11-09 18:26:52]
  • 提交

answer

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

#define rep(i, a, b) for (int i = (a); i < (b); i++)
#define all(x) begin(x), end(x)
#define sz(x) int((x).size())
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;

#ifdef LOCAL
auto operator<<(auto& o, auto x) -> decltype(x.first, o);
auto operator<<(auto& o, auto x) -> decltype(x.end(), o) {
  o << "{";
  for (int i = 0; auto y : x) o << ", " + !i++ * 2 << y;
  return o << "}";
}
auto operator<<(auto& o, auto x) -> decltype(x.first, o) {
  return o << "(" << x.first << ", " << x.second << ")";
}
void __print(auto... x) { ((cerr << x << " "), ...) << endl; }
#define debug(x...) __print("[" #x "]:", x)
#else
#define debug(...) 2137
#endif

vector<vector<pair<int, int>>> g;
vector<int> tr, res;

vector<int> c1, c2;

vector<int> p, rnk;
int repr(int a) {
  if(a == p[a]) return a;
  return p[a] = repr(p[a]);
}

bool un(int a, int b) {
  a = repr(a);
  b = repr(b);
  if(a == b) return false;
  if(rnk[a] < rnk[b]) swap(a, b);
  p[b] = a;
  if(rnk[a] == rnk[b]) rnk[a]++;
  return true;
}

void dfs(int v, int col, int par = -1) {
  if(col == 1) c1[v] = 1;
  else c2[v] = 1;
  for(auto [to, id] : g[v]) {
    if(to == par || !tr[id]) continue;
    dfs(to, col, v);
  }
}

int main() {
  cin.tie(0)->sync_with_stdio(0);
  int n, m;
  cin >> n >> m;
  g.resize(n);

  p.resize(n);
  iota(p.begin(), p.end(), 0);
  rnk.assign(n, 1);

  vector<ll> a(m + 1), b(m + 1), w(m + 1);
  tr.resize(m + 1);
  res.resize(m + 1);
  vector<pair<ll, int>> e;
  for(int i = 1; i <= m; i++) {
    cin >> a[i] >> b[i] >> w[i];
    a[i]--;
    b[i]--;
    if(i <= n - 1) tr[i] = 1;
    e.push_back({w[i], i});
    g[a[i]].push_back({b[i], i});
    g[b[i]].push_back({a[i], i});
  }
  sort(e.begin(), e.end());
  for(int i = 0; i < m; i++) {
    int x = a[e[i].second];
    int y = b[e[i].second];
    if(un(x, y)) {
      res[e[i].second] = 1;
    }
  }

  debug(g);
  debug(a);
  debug(b);
  debug(w);
  debug(tr);
  debug(res);

  vector<pair<int, int>> ans;
  while(true) {
    int ind = -1;
    int x, y;
    for(int i = 1; i <= m; i++) {
      if(tr[i] && !res[i]) {
        ind = i;
        x = a[ind];
        y = b[ind];
      }
    }
    if(ind == -1) break;
    c1.assign(n, 0);
    c2.assign(n, 0);
    tr[ind] = 0;

    debug(tr, ind);
    
    dfs(x, 1);
    dfs(y, 2);

    int add = -1;
    for(int i = 1; i <= m; i++) {
      if(c1[a[i]] && c2[b[i]] || c1[b[i]] && c2[a[i]]) {
        if(res[i]) add = i;
      }
    }

    tr[add] = 1;
    ans.push_back({ind, add}); 
  }

  cout << ans.size() << '\n';
  for(int i = 0; i < ans.size(); i++) {
    cout << ans[i].first << " " << ans[i].second << '\n';
  }
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3560kb

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: 3616kb

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: 1ms
memory: 3836kb

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: 4056kb

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: 4012kb

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: 3888kb

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: 3712kb

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: 3ms
memory: 3668kb

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
496 995
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 #9:

score: 0
Accepted
time: 1ms
memory: 3940kb

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: 3652kb

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: 5ms
memory: 3756kb

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
499 811
498 548
497 666
496 751
495 752
494 672
493 522
492 742
491 583
490 524
489 816
488 818
487 657
486 908
485 906
484 505
483 503
482 955
481 828
480 861
479 740
478 956
477 734
476 718
475 566
474 854
473 959
472 673
471 768
470 878
469 629
468 786
467 877
466 911
465 817
464 782
463 772
...

result:

ok correct!

Test #12:

score: 0
Accepted
time: 1ms
memory: 3688kb

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: 3656kb

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: 3ms
memory: 3736kb

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: 0ms
memory: 3820kb

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 14
7 17
6 15
3 20
2 10

result:

ok correct!

Test #16:

score: 0
Accepted
time: 1ms
memory: 3644kb

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
96 107
95 185
92 125
89 152
87 109
83 197
81 176
80 171
77 196
75 135
74 115
71 192
69 195
67 145
65 181
64 148
61 160
60 166
58 120
52 150
50 190
49 174
47 112
45 184
44 170
41 189
39 168
36 127
35 126
31 194
28 108
25 104
24 137
23 186
21 177
20 182
19 157
17 183
16 131
15 121
13 163
10 156
9 1...

result:

ok correct!

Test #17:

score: 0
Accepted
time: 18ms
memory: 3972kb

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
1992 2764
1991 2321
1986 2934
1984 2470
1979 2375
1976 2727
1975 2003
1974 2358
1969 2411
1964 2753
1963 2425
1961 2839
1958 2329
1955 2464
1953 2083
1946 2656
1938 2792
1937 2408
1936 2284
1934 2796
1927 2832
1924 2400
1921 2357
1919 2807
1915 2805
1903 2784
1902 2503
1897 2991
1896 2994
1894 2...

result:

ok correct!

Test #18:

score: 0
Accepted
time: 17ms
memory: 3916kb

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
1999 2487
1992 2767
1991 2453
1989 2482
1987 2367
1983 2963
1977 2234
1974 2466
1972 2608
1965 2720
1960 2414
1957 2566
1950 2467
1946 2295
1942 2560
1939 2397
1938 2578
1930 2499
1927 2019
1926 2824
1920 2130
1916 2398
1909 2187
1902 2445
1901 2969
1893 2516
1892 2923
1886 2515
1879 2481
1875 2...

result:

ok correct!

Test #19:

score: 0
Accepted
time: 17ms
memory: 4168kb

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
1998 2480
1992 2387
1985 2418
1982 2315
1977 2723
1974 2964
1967 2857
1962 2605
1961 2617
1958 2790
1956 2086
1954 2308
1953 2670
1949 2999
1947 2718
1942 2326
1939 2579
1928 2584
1927 2433
1926 2859
1923 2112
1922 2583
1919 2203
1918 2656
1917 2766
1913 2930
1911 2854
1909 2460
1908 2690
1895 2...

result:

ok correct!

Test #20:

score: 0
Accepted
time: 17ms
memory: 3976kb

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
1997 2105
1995 2853
1994 2784
1993 2107
1989 2590
1977 2824
1973 2265
1964 2270
1963 2790
1962 2619
1961 2228
1953 2410
1952 2580
1950 2467
1943 2319
1939 2085
1938 2088
1933 2475
1924 2705
1923 2419
1913 2937
1912 2104
1910 2848
1909 2129
1908 2528
1905 2034
1899 2393
1898 2615
1897 2858
1895 2...

result:

ok correct!

Test #21:

score: 0
Accepted
time: 19ms
memory: 3916kb

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
1991 2360
1990 2410
1988 2999
1980 2787
1977 2427
1975 2827
1974 2448
1973 2764
1961 2957
1960 2124
1954 2747
1952 2387
1951 2944
1944 2020
1942 2785
1941 2530
1940 2925
1933 2554
1932 2025
1918 2343
1913 2977
1909 2061
1908 2241
1905 2916
1899 2921
1889 2325
1884 2820
1883 2141
1880 2714
1869 2...

result:

ok correct!

Test #22:

score: 0
Accepted
time: 1ms
memory: 3760kb

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: 1ms
memory: 3880kb

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: 15ms
memory: 3952kb

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 2487
1992 2472
1987 2483
1984 2471
1979 2497
1977 2494
1975 2459
1972 2499
1956 2493
1936 2496
1934 2491
1932 2303
1930 2307
1926 2482
1925 2466
1922 2453
1921 2476
1920 2462
1919 2488
1906 2486
1898 2445
1897 2424
1896 2409
1895 2454
1889 2475
1888 2478
1887 2419
1883 2435
1862 2374
1853 2...

result:

ok correct!

Test #25:

score: 0
Accepted
time: 30ms
memory: 3992kb

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 3000
1996 2997
1995 2998
1990 2992
1989 2976
1986 2994
1985 2985
1981 2989
1978 2951
1976 2958
1975 2970
1965 2631
1962 2916
1961 2940
1955 2972
1953 2971
1950 2999
1947 2863
1946 2988
1943 2590
1942 2986
1940 2962
1933 2955
1932 2963
1931 2928
1930 2754
1924 2980
1916 2186
1915 2927
1912 2...

result:

ok correct!

Test #26:

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

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

result:

ok correct!