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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
#112438#6560. Broken Minimum Spanning Treeckiseki#AC ✓695ms4444kbC++204.0kb2023-06-11 18:49:592023-06-11 18:50:02

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.
  • [2023-06-11 18:50:02]
  • 评测
  • 测评结果:AC
  • 用时:695ms
  • 内存:4444kb
  • [2023-06-11 18:49:59]
  • 提交

answer

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

#ifdef CKISEKI
#define safe cerr << __PRETTY_FUNCTION__ << " line " << __LINE__ << " safe\n"
#define debug(a...) debug_(#a, a)
#define orange(a...) orange_(#a, a)
template <typename ...T>
void debug_(const char *s, T ...a) {
    cerr << "\e[1;32m(" << s << ") = (";
    int cnt = sizeof...(T);
    (..., (cerr << a << (--cnt ? ", " : ")\e[0m\n")));
}
template <typename I>
void orange_(const char *s, I L, I R) {
    cerr << "\e[1;32m[ " << s << " ] = [ ";
    for (int f = 0; L != R; ++L)
        cerr << (f++ ? ", " : "") << *L;
    cerr << " ]\e[0m\n";
}
#else
#define safe ((void)0)
#define debug(...) ((void)0)
#define orange(...) ((void)0)
#endif

using edge = tuple<int,int,int>;

struct Dsu {
    vector<int> pa;
    Dsu(int n) : pa(n) {
        iota(pa.begin(), pa.end(), 0);
    }
    int anc(int x) {
        return x==pa[x] ? x : pa[x]=anc(pa[x]);
    }
    bool join(int x, int y) {
        x = anc(x);
        y = anc(y);
        if (x == y) return false;
        pa[x] = y;
        return true;
    }
};

int main() {
    cin.tie(nullptr)->sync_with_stdio(false);
    int n, m;
    cin >> n >> m;

    map<int, array<vector<edge>, 2>> mp;
        // w -> (u,v,i);

    vector<edge> edges(m); // u, v, w
    for (int i = 0; i < m; i++) {
        auto &[u, v, w] = edges[i];
        cin >> u >> v >> w;
        mp[w][ (i < n - 1) ].emplace_back(u, v, i);
    }

    vector<int> removed(m);
    for (int i = n-1; i < m; i++)
        removed[i] = true;

    vector<pair<int,int>> ans;
    map<int,bool> over;
    vector<int> pa(n + 1), dep(n + 1);
    vector<int> pa_edge(n + 1);

    const auto Build = [&]() {
        over.clear();

        vector<vector<pair<int,int>>> g(n + 1);
        map<int,array<int,2>> cnt;
        vector<edge> cur, mst;
        for (int i = 0; i < m; i++) {
            auto [u, v, w] = edges[i];
            if (!removed[i]) {
                g[u].emplace_back(v, i);
                g[v].emplace_back(u, i);
                cur.emplace_back(w, u, v);
            }
            mst.emplace_back(w, u, v);
        }
        sort(cur.begin(), cur.end());
        sort(mst.begin(), mst.end());
        Dsu dsu1(n + 1), dsu2(n + 1);
        for (auto [w, u, v]: cur) {
            if (dsu1.join(u, v))
                ++cnt[w][0];
        }
        for (auto [w, u, v]: mst) {
            if (dsu2.join(u, v))
                ++cnt[w][1];
        }
        for (auto [w, arr]: cnt)
            over[w] = arr[0] > arr[1];

        const auto dfs = [&](auto self, int i, int f) -> void {
            for (auto [j, eid]: g[i]) {
                if (j == f) continue;
                pa[j] = i;
                dep[j] = dep[i] + 1;
                pa_edge[j] = eid;
                self(self, j, i);
            }
        };
        dep[1] = 0;
        dfs(dfs, 1, 0);
    };

    const auto path = [&](int a, int b) {
        vector<int> res;
        while (a != b) {
            if (dep[a] > dep[b]) swap(a, b);
            res.emplace_back(pa_edge[b]);
            b = pa[b];
        }
        return res;
    };

    const auto Swap = [&](int a, int b) {
        assert (!removed[a] && removed[b]);
        swap(removed[a], removed[b]);
        ans.emplace_back(a, b);
        Build();
    };
    Build();

    Dsu dsu(n + 1);

    for (auto [_, vv]: mp) {
        for (auto [u, v, eid]: vv[1]) {
            if (removed[eid]) continue;
            dsu.join(u, v);
        }
        
        // bool swapped = false;
        for (auto [u, v, eid]: vv[0]) {
            if (dsu.join(u, v)) {
                for (int onpath: path(u, v)) {
                    int w = get<2>(edges[onpath]);
                    if (over[w]) {
                        // swapped += 1;
                        Swap(onpath, eid);
                        break;
                    }
                }
                // if (swapped)
                //     break;
            }
        }
    }

    cout << ans.size() << '\n';
    for (auto [a, b]: ans)
        cout << a + 1 << ' ' << b + 1 << '\n';

}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3420kb

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: 2ms
memory: 3404kb

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: 4ms
memory: 4196kb

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: 4ms
memory: 4072kb

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: 4ms
memory: 4064kb

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: 2ms
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: 2ms
memory: 3524kb

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: 37ms
memory: 3476kb

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: 3ms
memory: 3464kb

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: 2ms
memory: 3484kb

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: 77ms
memory: 3524kb

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
10 501
483 502
428 503
484 504
249 505
181 506
171 507
179 508
82 509
274 510
177 511
147 512
13 513
379 514
54 515
392 516
381 517
53 518
72 519
224 520
493 521
278 522
490 523
215 524
385 525
18 526
121 527
357 528
135 529
229 530
48 531
343 532
314 533
104 534
149 535
150 536
204 537
...

result:

ok correct!

Test #12:

score: 0
Accepted
time: 2ms
memory: 3444kb

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: 3ms
memory: 3456kb

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: 75ms
memory: 3480kb

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: 2ms
memory: 3360kb

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
3 20
7 17

result:

ok correct!

Test #16:

score: 0
Accepted
time: 4ms
memory: 3424kb

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
15 174
44 168
41 180
65 181
20 150
52 196
92 125
69 195
5 184
83 145
10 170
9 134
8 182
60 132
87 109
39 163
25 104
31 194
95 185
50 116
21 166
58 120
74 115
2 156
16 131
45 136
80 171
61 160
4 177
7 153
6 190
71 192
47 112
3 138
13 189
17 183
23 186
35 126
64 108
24 137
49 121
89 152
28 1...

result:

ok correct!

Test #17:

score: 0
Accepted
time: 664ms
memory: 4304kb

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
1836 2790
65 2921
758 2517
246 2345
734 2409
1128 2862
19 2901
1573 2978
41 2645
551 2897
35 2537
992 2651
199 2364
161 2026
1869 2404
1357 2446
913 2315
395 2055
198 2449
409 2877
1527 2829
1406 2255
985 2116
39 2710
1188 2911
1313 2415
1021 2064
632 2171
789 2836
1648 2927
14 2318
673 2181
157...

result:

ok correct!

Test #18:

score: 0
Accepted
time: 665ms
memory: 4312kb

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
620 2567
170 2230
1094 2412
34 2255
602 2054
77 2135
24 2979
1687 2143
243 2435
1073 2483
101 2058
1611 2539
1902 2445
755 2314
1674 2011
1178 2635
613 2966
999 2287
255 2097
122 2897
271 2737
1777 2956
244 2547
770 2093
1862 2538
916 2610
1637 2591
1977 2234
497 2425
1044 2965
241 2895
1345 292...

result:

ok correct!

Test #19:

score: 0
Accepted
time: 664ms
memory: 4296kb

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
529 2532
252 2140
1294 2455
849 2657
1805 2356
229 2845
373 2001
1234 2107
891 2535
1000 2688
810 2276
1775 2139
1455 2667
791 2685
1193 2591
1112 2122
426 2752
1379 2456
100 2632
819 2142
209 2225
113 2180
579 2134
906 2482
1918 2590
547 2295
412 2554
828 2924
903 2061
359 2780
1518 2270
520 22...

result:

ok correct!

Test #20:

score: 0
Accepted
time: 684ms
memory: 4260kb

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
176 2755
133 2971
838 2335
21 2584
1701 2285
274 2748
1671 2349
1924 2705
178 2699
261 2201
670 2308
513 2324
100 2361
1869 2301
959 2776
1933 2475
1316 2878
459 2176
1696 2961
1204 2891
1678 2133
266 2745
1715 2025
275 2062
151 2336
271 2105
811 2794
1049 2064
854 2096
1807 2647
52 2304
703 291...

result:

ok correct!

Test #21:

score: 0
Accepted
time: 663ms
memory: 4284kb

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
38 2493
1739 2631
1869 2420
1339 2260
1083 2221
591 2865
123 2060
320 2194
116 2728
1237 2503
82 2641
1595 2950
496 2107
1772 2226
726 2237
899 2162
819 2674
1284 2611
107 2813
1109 2033
1446 2572
673 2006
409 2486
639 2319
1813 2512
7 2786
947 2448
1307 2125
122 2431
282 2584
141 2627
245 2209
...

result:

ok correct!

Test #22:

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

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: 6ms
memory: 4232kb

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: 407ms
memory: 4416kb

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
1124 2405
1839 2118
1573 2155
364 2388
248 2119
556 2236
1234 2476
1377 2029
1304 2473
99 2404
1735 2035
593 2415
1237 2463
415 2131
809 2247
404 2138
1818 2090
160 2482
407 2184
487 2377
458 2057
1450 2079
1555 2008
1019 2349
1921 2450
1761 2054
1995 2303
1510 2145
1100 2175
1081 2253
1532 2494...

result:

ok correct!

Test #25:

score: 0
Accepted
time: 695ms
memory: 4444kb

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
1637 2566
1404 2037
216 2618
1216 2531
1802 2985
1943 2590
743 2959
530 2244
1896 2451
796 2715
1961 2249
1414 2075
1158 2971
1024 2632
239 2954
1781 2832
650 2218
1602 2498
544 2797
163 2102
134 2935
1286 2317
1450 2952
807 2490
625 2124
1989 2879
1729 2579
1548 2144
1627 2417
1850 2784
686 277...

result:

ok correct!

Test #26:

score: 0
Accepted
time: 1ms
memory: 3320kb

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

result:

ok correct!