QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#180707 | #6560. Broken Minimum Spanning Tree | neko_nyaa | AC ✓ | 9ms | 3696kb | C++20 | 1.9kb | 2023-09-16 10:37:32 | 2023-09-16 10:37:33 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
struct DSU {
vector<int> P, S;
DSU(int n) {
P.resize(n+1);
S.resize(n+1, 1);
for (int i = 1; i <= n; i++) P[i] = i;
}
int find(int x) {
if (x == P[x]) return x;
return P[x] = find(P[x]);
}
bool merge(int a, int b) {
a = find(a); b = find(b);
if (a == b) return 0;
if (S[a] < S[b]) swap(a, b);
S[a] += S[b];
P[b] = a;
return 1;
}
int same(int a, int b) {
return find(a) == find(b);
}
};
pair<int, int> rep(int n, int m, vector<pair<int, int>> &e, vector<int> &cur, vector<int> &mst) {
// choose an edge in MST
int add_id;
for (int i = 0; i < m; i++) {
if (!cur[i] && mst[i]) {
add_id = i; break;
}
}
// connect that
DSU d(n);
d.merge(e[add_id].first, e[add_id].second);
// now connect whatever
int del_id;
for (int i = 0; i < m; i++) {
if (cur[i] && mst[i]) {
d.merge(e[i].first, e[i].second);
}
}
for (int i = 0; i < m; i++) {
if (cur[i] && !mst[i]) {
if (d.merge(e[i].first, e[i].second)) {
continue;
} else {
del_id = i; break;
}
}
}
cur[add_id] = 1;
cur[del_id] = 0;
return {del_id, add_id};
}
signed main() {
ios::sync_with_stdio(0); cin.tie(0);
int n, m; cin >> n >> m;
vector<tuple<int, int, int, int>> edges;
vector<pair<int, int>> e;
for (int i = 0; i < m; i++) {
int u, v, w; cin >> u >> v >> w;
edges.emplace_back(w, i, u, v);
e.emplace_back(u, v);
}
sort(edges.begin(), edges.end());
vector<int> cur(m), mst(m);
for (int i = 0; i < n-1; i++) {
cur[i] = 1;
}
DSU d(n);
for (auto [w, i, x, y]: edges) {
if (d.merge(x, y)) {
mst[i] = 1;
}
}
vector<pair<int, int>> ans;
while (cur != mst) {
ans.push_back(rep(n, m, e, cur, mst));
}
cout << ans.size() << '\n';
for (auto [x, y]: ans) {
cout << x+1 << ' ' << y+1 << '\n';
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3552kb
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: 2ms
memory: 3652kb
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: 3656kb
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: 3580kb
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: 0ms
memory: 3600kb
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: 3596kb
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: 1ms
memory: 3556kb
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: 1ms
memory: 3552kb
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: 0ms
memory: 3556kb
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: 3568kb
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:
499 398 500 181 501 483 502 428 503 484 504 249 505 171 506 115 507 179 508 81 509 274 510 177 511 147 512 12 513 379 514 53 515 392 516 381 517 52 518 71 519 224 520 493 521 278 522 490 523 215 524 385 525 17 526 121 527 357 528 135 529 229 530 47 531 343 532 314 533 103 534 149 535 150 536 204 537...
result:
ok correct!
Test #12:
score: 0
Accepted
time: 1ms
memory: 3628kb
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: 3628kb
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: 2ms
memory: 3656kb
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: 0ms
memory: 3444kb
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 7 17 3 20
result:
ok correct!
Test #16:
score: 0
Accepted
time: 1ms
memory: 3548kb
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 65 104 96 107 64 108 87 109 47 112 74 115 69 116 58 120 15 121 92 125 80 126 36 127 25 131 60 132 44 134 75 135 41 136 24 137 16 138 83 145 28 148 52 150 89 152 7 153 39 156 21 157 61 160 13 163 19 166 9 168 10 170 35 171 49 174 81 176 2 177 45 180 3 181 20 182 17 183 8 184 95 185 23 186 5...
result:
ok correct!
Test #17:
score: 0
Accepted
time: 6ms
memory: 3656kb
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:
617 311 2000 1754 2001 673 2002 1975 2003 1658 2008 1538 2009 912 2011 425 2014 133 2016 1992 2017 963 2018 866 2019 147 2021 401 2023 977 2025 229 2026 1003 2027 1089 2029 1281 2030 1877 2031 1172 2033 567 2034 572 2037 245 2038 146 2040 1782 2041 272 2043 1184 2045 1643 2046 589 2047 283 2048 642 ...
result:
ok correct!
Test #18:
score: 0
Accepted
time: 9ms
memory: 3656kb
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 1784 2000 1110 2001 876 2003 636 2004 341 2006 1131 2007 564 2008 50 2009 854 2010 1674 2011 629 2015 181 2016 1522 2017 950 2018 1927 2019 1510 2021 672 2022 1719 2023 167 2024 1255 2027 1330 2028 527 2029 924 2031 912 2034 1302 2035 1351 2037 818 2039 590 2042 928 2043 41 2045 400 2048 1647 20...
result:
ok correct!
Test #19:
score: 0
Accepted
time: 8ms
memory: 3664kb
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 1428 2000 1446 2001 1090 2002 378 2005 1288 2006 1238 2007 1809 2008 1878 2010 106 2011 859 2012 380 2014 1441 2016 1156 2017 1140 2019 1886 2021 55 2022 220 2023 590 2024 1552 2025 446 2026 1923 2027 1859 2028 525 2031 1261 2032 303 2033 698 2035 376 2037 1810 2039 1154 2041 354 2042 674 2044 1...
result:
ok correct!
Test #20:
score: 0
Accepted
time: 9ms
memory: 3660kb
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 1332 2000 1296 2002 959 2003 1878 2007 1383 2008 717 2010 633 2011 1221 2013 834 2014 1132 2017 1264 2018 1519 2019 805 2020 1681 2022 461 2023 1628 2024 1715 2025 1505 2026 1661 2027 1427 2028 902 2031 119 2032 1905 2034 266 2035 1446 2039 914 2040 741 2042 1514 2045 630 2046 1012 2047 1323 204...
result:
ok correct!
Test #21:
score: 0
Accepted
time: 6ms
memory: 3664kb
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 1659 2000 446 2004 1414 2005 1427 2006 428 2007 1765 2008 1271 2009 1087 2010 409 2013 1644 2016 1729 2018 324 2019 1944 2020 1932 2025 1670 2026 1658 2027 450 2029 618 2030 612 2031 1109 2033 1700 2035 502 2037 563 2038 291 2039 982 2040 423 2043 823 2044 1860 2047 849 2050 1169 2051 336 2052 1...
result:
ok correct!
Test #22:
score: 0
Accepted
time: 1ms
memory: 3696kb
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: 3648kb
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: 6ms
memory: 3688kb
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 2000 1977 2002 1934 2003 1992 2004 1818 2006 1972 2007 1555 2008 1987 2010 1919 2011 1684 2012 1887 2013 1979 2015 1936 2017 1920 2018 1839 2022 1984 2023 1888 2024 1756 2025 1926 2026 1906 2027 1566 2028 1862 2029 1713 2031 1842 2032 1956 2033 1895 2035 1883 2036 1777 2038 1430 2039 1707 2...
result:
ok correct!
Test #25:
score: 0
Accepted
time: 3ms
memory: 3616kb
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 2000 1995 2001 1996 2002 1989 2003 1961 2004 1932 2005 1986 2008 1975 2009 1990 2010 1981 2011 1947 2018 1978 2020 1962 2021 1965 2025 1950 2026 1953 2027 1985 2028 1955 2030 1893 2031 1912 2034 1933 2035 1942 2037 1976 2040 1896 2043 1946 2044 1924 2045 1906 2046 1844 2047 1879 2053 1802 2...
result:
ok correct!
Test #26:
score: 0
Accepted
time: 1ms
memory: 3444kb
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 3 11 5 12 8 13 1 14 9 15 7 16 2 17 6 18
result:
ok correct!