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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#415605#6560. Broken Minimum Spanning Treengpin04#AC ✓63ms3872kbC++143.3kb2024-05-21 04:47:492024-05-21 04:47:49

Judging History

你现在查看的是最新测评结果

  • [2024-05-21 04:47:49]
  • 评测
  • 测评结果:AC
  • 用时:63ms
  • 内存:3872kb
  • [2024-05-21 04:47:49]
  • 提交

answer

#include <bits/stdc++.h>
#define fi first 
#define se second
#define mp make_pair
#define bit(n) (1LL << (n))
#define getbit(x, i) (((x) >> (i)) & 1)
#define pii pair <int, int>
#define ll long long
#define ALL(x) x.begin(), x.end()
#define pb push_back
using namespace std;
const int oo = 1e9;
const long long ooo = 1e18;

template<typename T1, typename T2> bool mini(T1 &a, T2 b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}

template<typename T1, typename T2> bool maxi(T1 &a, T2 b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
const int lim = 2e3 + 5;
struct disjoint_set {
    int h[lim], sz[lim];
    disjoint_set() {
        memset(h, -1, sizeof(h));
        fill(sz, sz + lim, 1);
    }
    int fh(int nd) {
        return h[nd] == -1 ? nd : h[nd] = fh(h[nd]);
    }
    bool same_par(int x, int y) {
        return fh(x) == fh(y);
    }
    bool merge(int x, int y) {
        x = fh(x), y = fh(y);
        if(x != y) {
            if(sz[x] < sz[y])
                swap(x, y);
            sz[x] += sz[y];
            h[y] = x;
        }
        return x != y;
    }
};
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n, m;
    cin >> n >> m;
    vector<pair<int, pair<int, int>>> init(m), adj;
    for(int i = 0; i < m; ++i) {
        cin >> init[i].se.fi >> init[i].se.se >> init[i].fi;
    }
    adj = init;
    ll minw = 0;
    sort(adj.begin(), adj.end());
    disjoint_set initdsu;
    for(auto x : adj) {
        if(initdsu.merge(x.se.fi, x.se.se)) {
            minw += x.fi;
        }
    }
    bool partmst[n - 1];
    memset(partmst, 0, sizeof(partmst));
    int cnt = 0;
    vector<pair<int, pair<int, int>>> cur;
    for(int i = 0; i < n - 1; ++i) {
        disjoint_set dsu;
        ll val = 0;
        for(auto x : cur)
            dsu.merge(x.se.fi, x.se.se), val += x.fi;
        dsu.merge(init[i].se.fi, init[i].se.se);
        val += init[i].fi;
        for(auto x : adj) {
            if(dsu.merge(x.se.fi, x.se.se))
                val += x.fi;
        }
        if(val == minw) {
            partmst[i] = true, cur.pb(init[i]);
        }
        else
            ++cnt;
    }
    cout << cnt << endl;
    cur.clear();
    for(int i = 0; i < n - 1; ++i)
        cur.pb(init[i]);
    for(int i = 0; i < n - 1; ++i) {
        // remove the i-th edge in init and change it with something else
        if(partmst[i])
            continue;
        pair<int, pair<int, int>> nxt;
        cur.erase(find(cur.begin(), cur.end(), init[i]));
        disjoint_set dsu;
        for(auto x : cur) {
            dsu.merge(x.se.fi, x.se.se);
        }
        for(auto x : adj) {
            if(dsu.merge(x.se.fi, x.se.se)) {
                nxt = x;
                break;
            }
        }
        // cerr << dsu.sz[dsu.fh(1)] << endl;
        // assert(dsu.sz[dsu.fh(1)] == n);
        // cout << dsu.sz[dsu.fh(1)] << endl;
        cur.pb(nxt);
        cout << i + 1 << " " << find(init.begin(), init.end(), nxt) - init.begin() + 1 << endl;
    }
    ll res = 0;
    for(auto x : cur) {
        res += x.fi;
    }
    // cerr << res << " " << minw << endl;
    // assert(res == minw);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3576kb

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: 3556kb

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: 33ms
memory: 3624kb

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: 24ms
memory: 3848kb

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: 33ms
memory: 3608kb

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: 3ms
memory: 3556kb

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: 3ms
memory: 3548kb

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: 3592kb

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: 3ms
memory: 3512kb

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: 4ms
memory: 3544kb

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: 3512kb

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
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
22 748
23 829
24 744
25 580
26 943
27 909
28 708
29 682
30 633
31 948
32 592
33 990
34 905
35 742
36 724
37 900
38 621
39 898
40 710
41 552
42 770
43 579
44 5...

result:

ok correct!

Test #12:

score: 0
Accepted
time: 3ms
memory: 3724kb

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: 3764kb

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: 7ms
memory: 3540kb

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
1 552
2 601
3 696
4 801
5 658
6 870
7 810
8 579
9 638
10 825
11 534
12 679
13 630
14 721
15 791
16 766
17 743
18 839
19 678
20 622
21 742
22 969
23 700
24 723
25 654
26 841
27 955
28 563
29 732
30 572
31 588
32 707
33 553
34 585
35 771
36 792
37 620
38 683
39 538
40 976
41 528
42 966
43 694
44 8...

result:

ok correct!

Test #15:

score: 0
Accepted
time: 0ms
memory: 3532kb

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
2 15
3 10
6 14
7 17
9 20

result:

ok correct!

Test #16:

score: 0
Accepted
time: 0ms
memory: 3512kb

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
2 174
3 168
4 180
5 181
6 195
7 145
8 182
9 134
10 170
13 112
15 150
16 120
17 103
19 157
20 184
21 125
23 186
24 131
25 132
28 138
31 194
35 171
36 127
39 183
41 109
44 104
45 116
47 189
49 196
50 137
52 121
58 177
60 166
61 160
64 108
65 185
67 153
69 148
71 115
74 192
75 135
77 163
80 126
81 1...

result:

ok correct!

Test #17:

score: 0
Accepted
time: 60ms
memory: 3672kb

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
2 2921
3 2645
6 2345
7 2409
8 2901
12 2790
13 2897
14 2517
15 2446
16 2862
17 2911
19 2651
22 2181
23 2622
26 2332
27 2769
31 2002
33 2026
34 2978
35 2537
37 2836
39 2330
40 2251
41 2435
45 2192
46 2265
48 2055
49 2315
51 2364
54 2116
55 2829
57 2997
58 2710
61 2171
62 2434
63 2449
64 2125
65 29...

result:

ok correct!

Test #18:

score: 0
Accepted
time: 56ms
memory: 3568kb

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
1 2255
2 2567
3 2054
4 2143
6 2135
8 2966
10 2445
11 2483
14 2639
16 2412
17 2979
19 2230
20 2905
21 2511
24 2058
25 2314
31 2635
34 2897
35 2539
36 2213
40 2737
41 2435
42 2234
44 2956
48 2404
49 2715
50 2239
52 2610
56 2024
60 2285
61 2547
65 2185
66 2410
70 2153
75 2923
77 2323
79 2538
80 226...

result:

ok correct!

Test #19:

score: 0
Accepted
time: 60ms
memory: 3636kb

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
1 2455
3 2140
8 2685
9 2657
10 2845
11 2460
13 2476
14 2688
18 2225
20 2535
21 2356
22 2001
23 2963
24 2932
30 2554
37 2843
38 2591
41 2667
42 2752
43 2288
46 2532
47 2788
48 2122
50 2860
53 2486
54 2017
55 2142
56 2107
60 2599
61 2957
67 2772
68 2709
73 2829
75 2684
77 2170
79 2134
80 2039
84 2...

result:

ok correct!

Test #20:

score: 0
Accepted
time: 62ms
memory: 3644kb

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
1 2971
5 2748
6 2285
8 2324
9 2176
10 2349
12 2336
13 2705
17 2308
18 3000
21 2335
22 2301
29 2961
30 2062
33 2461
39 2105
40 2584
41 2755
43 2699
44 2416
45 2475
49 2096
50 2960
52 2361
53 2936
55 2891
56 2820
61 2910
66 2878
68 2696
69 2064
70 2923
72 2973
73 2202
79 2656
80 2133
81 2920
82 24...

result:

ok correct!

Test #21:

score: 0
Accepted
time: 60ms
memory: 3844kb

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
1 2493
2 2641
4 2221
5 2631
6 2107
7 2870
8 2482
10 2420
11 2260
12 2237
13 2412
15 2728
18 2865
19 2226
20 2503
22 2611
23 2006
26 2228
27 2962
28 2674
29 2813
30 2319
32 2572
33 2512
37 2448
38 2882
41 2786
46 2060
47 2268
52 2726
56 2031
60 2321
61 2950
62 2602
64 2431
65 2736
67 2127
69 2235...

result:

ok correct!

Test #22:

score: 0
Accepted
time: 1ms
memory: 3796kb

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: 32ms
memory: 3820kb

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: 53ms
memory: 3840kb

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
8 2155
9 2118
22 2405
24 2388
31 2035
32 2119
36 2306
39 2476
49 2404
50 2236
54 2247
61 2138
65 2086
67 2265
69 2166
75 2103
76 2029
88 2482
97 2499
99 2470
110 2226
124 2436
125 2077
130 2415
135 2473
147 2025
149 2084
159 2377
160 2097
166 2057
175 2442
177 2090
179 2336
183 2079
185 2450
189...

result:

ok correct!

Test #25:

score: 0
Accepted
time: 63ms
memory: 3872kb

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
1 2566
3 2632
6 2985
9 2075
11 2710
17 2009
19 2037
22 2666
24 2618
36 2218
39 2144
41 2590
45 2000
50 2646
51 2124
55 2612
59 2526
69 2959
72 2879
75 2832
79 2249
82 2202
93 2339
94 2244
95 2797
96 2451
98 2715
106 2782
108 2803
111 2523
112 2971
118 2754
120 2460
122 2531
124 2490
131 2071
134...

result:

ok correct!

Test #26:

score: 0
Accepted
time: 0ms
memory: 3756kb

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
4 11
5 12
6 13
7 17
8 16
9 15

result:

ok correct!