QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#112438 | #6560. Broken Minimum Spanning Tree | ckiseki# | AC ✓ | 695ms | 4444kb | C++20 | 4.0kb | 2023-06-11 18:49:59 | 2023-06-11 18:50:02 |
Judging History
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';
}
Details
Tip: Click on the bar to expand more detailed information
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!