QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#426364 | #6329. Colorful Graph | zyz07 | TL | 2386ms | 17696kb | C++17 | 1.8kb | 2024-05-31 09:01:08 | 2024-05-31 09:01:08 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define For(Ti,Ta,Tb) for(auto Ti=(Ta);Ti<=(Tb);++Ti)
#define Dec(Ti,Ta,Tb) for(auto Ti=(Ta);Ti>=(Tb);--Ti)
#define debug(...) fprintf(stderr,__VA_ARGS__)
#define range(Tx) begin(Tx),end(Tx)
using ll=long long;
const int N=7005;
int n,m,tot,bel[N],mth[N],ans[N];
vector<int> g[N],scc[N],g2[N];
bitset<N> bs[N],nvis;
struct{
int dfn[N],low[N],dfx,stk[N],top,vis[N];
void tarjan(int u){
low[u]=dfn[u]=++dfx;
stk[++top]=u;
vis[u]=1;
for(int v:g[u]){
if(!dfn[v]){
tarjan(v);
low[u]=min(low[u],low[v]);
}else if(vis[v]){
low[u]=min(low[u],dfn[v]);
}
}
if(dfn[u]==low[u]){
++tot;
for(int v=0;v!=u;){
v=stk[top--];
bel[v]=tot;
scc[tot].push_back(v);
vis[v]=0;
}
}
}
void operator()(){
For(u,1,n){
if(!dfn[u]){
tarjan(u);
}
}
}
}tarjan;
bool dfs(int u){
auto nxt=nvis&bs[u];
for(int v=nxt._Find_first();v<=tot;v=nxt._Find_next(v)){
nvis.set(v,0);
if(!mth[v]||dfs(mth[v])){
mth[v]=u;
return 1;
}
}
return 0;
}
void color(int u,int c){
for(int v:scc[u]){
ans[v]=c;
}
for(int v:g2[u]){
if(!ans[scc[v][0]]){
color(v,c);
}
}
}
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin>>n>>m;
For(i,1,m){
int u,v;
cin>>u>>v;
g[u].push_back(v);
}
tarjan();
For(u,1,tot){
bs[u].set(u);
for(int v:scc[u]){
for(int x:g[v]){
bs[u]|=bs[bel[x]];
}
}
}
For(u,1,tot){
bs[u].set(u,0);
}
Dec(u,tot,1){
nvis.set();
dfs(u);
}
For(u,1,tot){
if(mth[u]){
g2[u].push_back(mth[u]);
g2[mth[u]].push_back(u);
}
}
int cur=0;
For(u,1,tot){
if(!ans[scc[u][0]]){
color(u,++cur);
}
}
For(u,1,n){
cout<<ans[u]<<" \n"[u==n];
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 5944kb
input:
5 5 1 4 2 3 1 3 2 5 5 1
output:
1 1 2 1 2
result:
ok AC
Test #2:
score: 0
Accepted
time: 1ms
memory: 4268kb
input:
5 7 1 2 2 1 4 3 5 1 5 4 4 1 4 5
output:
1 1 2 1 1
result:
ok AC
Test #3:
score: 0
Accepted
time: 1ms
memory: 6096kb
input:
8 6 6 1 3 4 3 6 2 3 4 1 6 4
output:
1 1 1 1 2 1 3 4
result:
ok AC
Test #4:
score: 0
Accepted
time: 1289ms
memory: 14864kb
input:
7000 6999 4365 4296 2980 3141 6820 4995 4781 24 2416 5844 2940 2675 3293 2163 3853 5356 262 6706 1985 1497 5241 3803 353 1624 5838 4708 5452 3019 2029 6161 3849 4219 1095 1453 4268 4567 1184 1857 2911 3977 1662 2751 6353 6496 2002 6628 1407 4623 425 1331 4445 4277 1259 3165 4994 1044 2756 5788 5496 ...
output:
873 107 414 655 1585 809 1665 377 961 1505 1272 1196 1147 506 666 62 516 1732 886 25 500 585 1366 255 1146 602 36 917 334 1167 1171 566 34 35 728 1043 286 1733 421 33 1525 614 885 534 31 687 1734 1035 32 1735 881 1168 1292 971 970 187 891 791 1031 29 783 1614 1141 1457 158 30 1479 948 245 27 28 710 ...
result:
ok AC
Test #5:
score: 0
Accepted
time: 1004ms
memory: 13988kb
input:
7000 6999 4832 1603 5984 6985 5355 3687 6007 2170 5984 3486 3267 2189 538 2123 4343 4553 5855 6168 5984 257 4239 2304 5984 2063 3298 1869 5984 6353 5984 2018 5984 5387 5984 3382 3164 3978 2690 2816 4810 2638 5984 3773 5984 1634 5984 2786 5984 3671 5984 5140 2943 5721 5984 414 1105 4060 3093 796 5984...
output:
1748 1313 618 465 1723 1207 886 671 230 2244 2156 554 672 1274 68 2245 1004 1968 1746 2330 2246 1713 2095 1232 1305 1884 848 1896 782 1568 1664 1787 944 1245 2247 2248 1371 819 117 135 2249 237 1187 2250 1846 2251 21 2252 2253 1573 18 1533 2303 204 1811 885 2254 2255 2256 2257 436 1639 2258 2154 805...
result:
ok AC
Test #6:
score: 0
Accepted
time: 1039ms
memory: 15452kb
input:
7000 6999 1649 5337 1701 3344 4394 2172 3330 39 5932 1141 5381 5340 5453 3300 125 2172 6810 5263 804 2172 6635 2172 676 4740 3015 1183 1710 5769 611 5915 3419 1581 2094 2172 4508 2172 6604 2433 6113 1466 1604 696 1518 1123 1287 2940 4825 2172 5130 4524 2693 2172 106 2172 5157 2172 3693 2172 5198 217...
output:
1224 803 464 319 1300 1053 165 1084 1720 801 1164 802 799 902 986 529 800 385 1158 1690 701 1570 798 1446 1397 266 731 413 1312 796 1792 797 1334 1033 1410 1571 1443 421 94 795 864 2073 1741 1177 386 1175 685 303 1572 47 377 794 1672 1538 1351 323 323 1573 583 5 1052 1304 1574 2183 1827 1894 221 813...
result:
ok AC
Test #7:
score: 0
Accepted
time: 1281ms
memory: 15988kb
input:
7000 6999 2896 6321 881 2623 5058 2623 4833 2623 4669 2623 4781 5007 1447 2623 4781 4768 4781 3834 2758 4792 797 5055 3784 2623 4781 5510 6606 3040 597 3459 4136 2037 1291 3989 4781 837 4781 4379 5637 2053 1642 2665 4781 4664 4781 952 4924 2511 4781 4201 4781 2352 4781 5362 3901 197 137 2623 2706 19...
output:
1 345 87 1728 250 71 229 2 354 3 175 1596 1695 1039 404 1443 1548 1720 879 4 1345 531 795 607 1367 1504 1428 1007 5 6 727 7 866 1518 190 317 1536 226 1373 699 638 1469 879 826 8 298 9 476 10 397 1646 563 11 12 781 13 1495 1042 783 944 14 78 764 113 959 15 272 1499 1215 1743 325 1572 598 16 1734 1350...
result:
ok AC
Test #8:
score: 0
Accepted
time: 545ms
memory: 14232kb
input:
6999 6998 1269 3969 1269 2429 1269 2609 1269 2515 1269 6166 1269 6614 3108 1269 2105 1269 4670 1269 578 1269 4661 1269 1421 1269 2576 1269 6152 1269 1269 6636 3011 1269 305 1269 5189 1269 1683 1269 6861 1269 1269 5798 1499 1269 282 1269 914 1269 80 1269 677 1269 701 1269 1269 359 6521 1269 1269 1754...
output:
2 3 4 5 1073 6 7 2667 1045 3245 3304 2946 8 434 9 10 11 976 12 13 125 14 15 2692 16 17 18 19 20 1675 21 1067 22 23 3194 24 1614 459 25 515 971 26 27 1204 3088 28 29 30 31 32 2522 1552 3493 33 263 2395 34 35 36 37 38 577 20 39 3396 2833 3337 40 41 42 525 43 730 1745 2103 44 45 2792 46 47 2095 48 2380...
result:
ok AC
Test #9:
score: 0
Accepted
time: 0ms
memory: 10556kb
input:
7000 0
output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 ...
result:
ok AC
Test #10:
score: 0
Accepted
time: 2386ms
memory: 17696kb
input:
7000 6999 3138 1903 3285 5919 6182 1430 1164 961 1577 6445 1390 3384 935 5723 6614 6387 4799 2877 3915 5128 5366 5455 2287 3941 2053 2326 4022 6993 488 2922 4327 4701 4674 3221 1666 4773 4356 3232 3888 937 4318 6942 577 1299 4491 1938 5154 1254 790 5532 4286 5478 2918 6725 2853 304 2554 5207 5140 77...
output:
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
result:
ok AC
Test #11:
score: 0
Accepted
time: 413ms
memory: 11052kb
input:
7000 6999 33 3147 5877 4807 3116 4168 1651 2456 624 1740 6440 3058 6414 489 1023 2523 706 93 5523 598 4211 6063 3570 6840 6566 2971 6614 1907 5893 4389 4022 2527 5096 2345 4682 2134 188 5597 695 4285 1344 3832 3534 879 6574 6252 3759 3444 2167 85 5630 6600 3158 4404 6389 689 4871 6719 4295 6008 3437...
output:
25 6 1 1 25 24 1 16 1 1 1 1 1 35 1 2 1 26 1 1 26 1 26 1 1 1 1 1 1 1 1 1 36 1 1 7 6 6 1 1 1 32 18 1 3 1 6 1 1 19 1 1 1 1 1 27 1 1 1 6 10 6 2 1 1 1 1 21 6 1 26 26 1 1 15 1 15 26 29 1 25 14 1 1 8 5 1 1 20 1 2 1 1 1 1 31 37 1 33 1 1 1 1 2 1 1 25 1 1 6 1 1 1 28 2 1 24 1 1 1 1 29 18 1 24 1 1 1 1 6 1 26 1 ...
result:
ok AC
Test #12:
score: 0
Accepted
time: 684ms
memory: 8712kb
input:
7000 6999 1247 5150 3318 2013 5686 1615 6145 6521 5717 94 2787 3443 2648 4875 5332 5934 1897 1651 4640 2183 1750 6964 148 5228 745 2814 474 1165 496 6735 180 3412 2723 3374 6200 4361 497 5328 1928 5998 5648 1261 5090 4723 1715 706 2499 897 6569 6204 6039 2787 2882 5044 5767 4256 975 1877 1857 4453 6...
output:
1 69 1 64 1 1 64 1 7 1 18 23 7 1 1 37 1 1 1 1 1 1 1 1 1 1 55 1 61 84 1 1 1 1 1 1 57 1 7 1 1 1 44 1 1 42 1 1 1 75 68 85 1 1 1 1 1 15 41 1 67 16 1 1 1 36 1 1 78 75 1 56 16 1 1 1 1 1 22 68 1 1 1 1 1 10 1 1 1 1 8 1 1 1 65 1 1 1 1 1 79 1 1 29 26 1 1 56 1 38 53 1 1 74 1 31 1 1 78 1 1 78 1 25 1 1 1 8 1 1 7...
result:
ok AC
Test #13:
score: -100
Time Limit Exceeded
input:
7000 6999 2349 199 5295 2831 6143 2006 3212 3198 6956 3807 732 4838 5069 1027 5744 3479 6 5301 5687 4452 4201 1151 1353 4884 548 3506 6094 4799 4950 6939 5234 817 652 1314 979 6984 5771 1851 398 1322 2294 4298 847 3929 6833 183 2904 6745 4797 3874 94 315 4282 582 6591 5037 962 147 799 908 2593 5547 ...