QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#122031 | #6560. Broken Minimum Spanning Tree | tacoref# | AC ✓ | 36ms | 3752kb | C++17 | 2.2kb | 2023-07-09 10:23:43 | 2023-07-09 10:23:44 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pi = array<lint, 2>;
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
const int MAXN = 3005;
struct disj {
int pa[MAXN];
void init(int n) {
for (int i = 0; i < n; i++)
pa[i] = i;
}
int find(int x) { return pa[x] = (pa[x] == x ? x : find(pa[x])); }
bool uni(int p, int q) {
p = find(p);
q = find(q);
if (p == q)
return 0;
pa[q] = p;
return 1;
}
} disj;
bool is_mst[MAXN];
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, m;
cin >> n >> m;
vector<array<int, 5>> edges;
vector<array<int, 3>> g1, g2;
for (int i = 0; i < m; i++) {
int u, v, w;
cin >> u >> v >> w;
u--;
v--;
if (i < n - 1) {
g1.push_back({i, u, v});
}
edges.push_back({w, (i >= n - 1 ? 0 : -1), u, v, i});
}
sort(all(edges));
disj.init(n);
for (int i = 0; i < m; i++) {
if (disj.uni(edges[i][2], edges[i][3])) {
g2.push_back({edges[i][4], edges[i][2], edges[i][3]});
is_mst[edges[i][4]] = 1;
}
}
vector<pi> ans;
while (true) {
vector<vector<pi>> gph(n);
disj.init(n);
vector<array<int, 3>> need_rep;
for (auto &[i, u, v] : g1) {
if (is_mst[i])
disj.uni(u, v);
else {
need_rep.push_back({i, u, v});
}
}
if (sz(need_rep) == 0)
break;
for (auto &[i, u, v] : need_rep) {
u = disj.find(u);
v = disj.find(v);
gph[u].push_back({i, v});
gph[v].push_back({i, u});
}
for (int i = 0; i < n; i++) {
if (disj.find(i) == i && sz(gph[i]) == 1) {
auto across = [&](int u, int v) {
int x1 = disj.find(u) == disj.find(i);
int x2 = disj.find(v) == disj.find(i);
return x1 != x2;
};
int tr = -1, ta = -1;
for (int i = 0; i < sz(g1); i++) {
if (across(g1[i][1], g1[i][2])) {
tr = g1[i][0] + 1;
g1.erase(g1.begin() + i);
break;
}
}
for (auto &[i, u, v] : g2) {
if (across(u, v)) {
ta = i + 1;
g1.push_back({i, u, v});
break;
}
}
ans.push_back({tr, ta});
break;
}
}
}
cout << sz(ans) << "\n";
for (auto &[x, y] : ans)
cout << x << " " << y << "\n";
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3416kb
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: 0ms
memory: 3620kb
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: 0ms
memory: 3648kb
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: 2ms
memory: 3600kb
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: 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: 1ms
memory: 3544kb
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: 8ms
memory: 3596kb
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: 1ms
memory: 3484kb
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: 3580kb
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: 11ms
memory: 3504kb
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:
499 499 810 498 548 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 21 594 497 665 496 751 495 750 494 671 493 521 492 742 491 583 490 523 489 815 488 817 487 656 486 908 485 906 484 504 483 503 482 954 481 828 480 86...
result:
ok correct!
Test #12:
score: 0
Accepted
time: 0ms
memory: 3480kb
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: 3476kb
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: 13ms
memory: 3516kb
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:
499 197 696 311 810 179 678 371 870 143 642 72 721 477 976 253 752 238 738 400 899 183 682 262 761 391 890 427 926 154 653 39 538 421 920 233 732 140 824 224 723 470 969 283 782 292 791 491 990 454 953 91 590 441 940 244 743 42 541 350 849 147 646 326 825 172 671 261 760 335 834 267 797 354 853 276 ...
result:
ok correct!
Test #15:
score: 0
Accepted
time: 0ms
memory: 3440kb
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 6 14 7 17 2 15 3 10 9 20
result:
ok correct!
Test #16:
score: 0
Accepted
time: 1ms
memory: 3440kb
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 69 125 92 195 65 181 45 180 35 171 9 134 28 108 64 148 58 120 87 109 6 116 50 190 80 126 74 115 8 182 49 174 96 107 10 170 61 160 36 127 52 150 15 121 67 145 83 197 31 194 89 152 71 192 41 184 20 196 77 103 39 168 81 176 75 135 17 183 13 163 47 112 24 137 16 131 23 186 7 153 4 189 2 177 19 157 60...
result:
ok correct!
Test #17:
score: 0
Accepted
time: 36ms
memory: 3648kb
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:
617 308 2657 1817 2828 125 2905 310 2712 1188 2911 1274 2802 1712 2492 1194 2622 954 2567 1180 2892 1377 2430 328 2651 1689 2186 1281 2812 408 2030 1792 2801 1049 2074 1229 2045 1184 2333 1934 2796 627 2388 295 2251 1472 2196 1406 2255 1991 2321 1888 2667 143 2449 1535 2685 813 2201 1114 2693 1964 2...
result:
ok correct!
Test #18:
score: 0
Accepted
time: 36ms
memory: 3684kb
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 1619 2436 1094 2412 777 2172 1031 2718 912 2621 1892 2923 928 2043 964 2287 1622 2339 1502 2313 1413 2529 157 2737 664 2795 781 2573 1325 2151 1379 2658 1603 2896 1602 2160 847 2378 1751 2089 1574 2284 1478 2702 915 2611 153 2818 634 2977 527 2430 273 2776 1111 2970 1015 2323 506 2216 1515 2727 ...
result:
ok correct!
Test #19:
score: 0
Accepted
time: 35ms
memory: 3752kb
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 1080 2947 485 2783 874 2208 1132 2514 828 2924 1953 2670 1087 2079 561 2192 1469 2983 635 2684 190 2214 109 2253 359 2780 590 2024 1671 2106 1107 2910 827 2574 1371 2099 1224 2467 1875 2349 313 2937 1050 2237 441 2281 741 2077 1057 2280 1833 2621 757 2417 1985 2418 1385 2414 814 2425 1859 2028 1...
result:
ok correct!
Test #20:
score: 0
Accepted
time: 36ms
memory: 3740kb
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:
624 654 2490 997 2202 518 2862 1549 2581 773 2081 1091 2130 601 2644 396 2797 1775 2640 109 2054 1018 2922 1047 2108 780 2162 1595 2562 855 2536 1899 2393 1963 2790 277 2660 1779 2832 1269 2223 385 2461 1670 2600 1933 2475 461 2621 793 2253 1589 2138 1561 2400 769 2448 1454 2183 570 2470 1467 2638 4...
result:
ok correct!
Test #21:
score: 0
Accepted
time: 36ms
memory: 3716kb
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:
618 754 2416 548 2418 1264 2508 1954 2071 1773 2355 1676 2287 1740 2438 1899 2143 677 2921 1100 2054 1086 2173 549 2572 1644 2016 1603 2783 1509 2606 1477 2744 1181 2912 437 2033 1366 2471 860 2205 1277 2499 228 2532 1350 2552 194 2070 1942 2574 544 2785 1819 2934 1812 2747 787 2537 782 2972 1279 23...
result:
ok correct!
Test #22:
score: 0
Accepted
time: 2ms
memory: 3552kb
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: 3632kb
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: 18ms
memory: 3672kb
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 1018 2000 413 2091 1454 2168 166 2247 1128 2441 1334 2468 842 2045 267 2471 716 2035 1685 2296 1731 2207 1302 2450 1585 2239 387 2312 872 2215 175 2459 1342 2148 1984 2442 592 2077 460 2453 1426 2283 1623 2307 1765 2448 1922 2118 189 2276 774 2128 976 2318 67 2110 1830 2219 375 2265 50 2070 65 2...
result:
ok correct!
Test #25:
score: 0
Accepted
time: 29ms
memory: 3696kb
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 1557 2000 1034 2073 1621 2185 212 2253 580 2562 322 2781 677 2569 1680 2188 764 2123 1290 2163 1758 2659 142 2576 1486 2591 620 2756 912 2170 454 2738 339 2922 637 2878 111 2124 926 2523 1600 2105 1205 2967 51 2655 1045 2805 965 2671 981 2525 470 2379 998 2879 72 2135 547 2938 877 2632 1624 2680...
result:
ok correct!
Test #26:
score: 0
Accepted
time: 1ms
memory: 3440kb
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 9 15 8 13 7 16 6 17 5 12 4 11
result:
ok correct!