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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#215378 | #6329. Colorful Graph | pengpeng_fudan | WA | 950ms | 6696kb | C++14 | 3.0kb | 2023-10-15 09:23:12 | 2023-10-15 09:23:13 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ull=unsigned long long;
using ll=long long;
const int N=7010,M=4*7010;
vector<int> ve[7010];
vector<int> re[7010];
int n,m;
int stk[N],sz[N],scc[N];
int dfn[N]; //时间戳,记录dfs序
int low[N];//追溯值
bool instk[N];
int cnt=0,tot=0,top=0;
void tarjan(int u){
dfn[u]=low[u]=++tot;
stk[++top]=u,instk[u]=true;
for(auto i:ve[u]){
if(!dfn[i]){
tarjan(i);
low[u]=min(low[u],low[i]);
}
else if(instk[i]) low[u]=min(low[u],dfn[i]);
}
if(dfn[u]==low[u]){
++cnt;
int y;
do{
y=stk[top--];
instk[y]=false;
scc[y]=cnt;
sz[cnt]++;
}while(y!=u);
}
}
const ll INF=1e18;
struct edge{int v;ll w,pre_w,nxt;}edge[2*M];
int head[2*N],cur[2*N],dep[2*N];
int ctz=1,st,ed;
int pot_sum;
void add(int u,int v,ll w){
edge[++ctz]={v,w,w,head[u]};
head[u]=ctz;
edge[++ctz]={u,0,0,head[v]};
head[v]=ctz;
}
bool bfs(){
copy(head,head+pot_sum+1,cur);
fill(dep,dep+pot_sum+1,-1);
queue<int> qe;
dep[st]=0;qe.push(st);
while(!qe.empty()){
int t=qe.front();qe.pop();
for(int i=head[t];i;i=edge[i].nxt){
int v=edge[i].v;ll w=edge[i].w;
if(w>0&&dep[v]==-1){
dep[v]=dep[t]+1;
qe.push(v);
}
}
}
return dep[ed]!=-1;
}
ll dfs(int u=st,ll flow=INF){
ll rem=flow;
if(u==ed) return flow;
for(int i=cur[u];i&&flow;i=edge[i].nxt){
cur[u]=i;
int v=edge[i].v;ll w=edge[i].w;
if(w>0&&dep[v]==dep[u]+1){
ll t=dfs(v,min(w,rem));
rem-=t;
edge[i].w-=t;
edge[i^1].w+=t;
}
}
return flow-rem;
}
ll dinic(){
ll ans=0;
while(bfs()) ans+=dfs();
return ans;
}
int col[N];
int c=0;
int t[N];
int color(int u){
for(int i=head[u];i;i=edge[i].nxt){
int v=edge[i].v;ll w=edge[i].pre_w-edge[i].w;
if(v!=st&&v!=ed&&w>0){
edge[i].w++;
int t=color(v-cnt);
col[u]=t;
return t;
}
}
if(!col[u]||t[col[u]]!=u) col[u]=++c;
return col[u];
}
void solve() {
cin>>n>>m;
int u,v;
for(int i=1;i<=m;i++){
cin>>u>>v;
ve[u].push_back(v);
}
for(int i=1;i<=n;i++){
if(!dfn[i]) tarjan(i);
}
st=0,ed=2*cnt+1;
for(int i=1;i<=cnt;i++){add(0,i,1),add(i+cnt,ed,1),add(i+cnt,i,INF);}
for(int i=1;i<=n;i++){
for(auto j:ve[i]){
if(scc[j]!=scc[i]) add(scc[i],scc[j]+cnt,INF);
}
}
pot_sum=2*cnt+1;
ll ans=dinic();
int c=0;
for(int i=1;i<=cnt;i++){
if(!col[i]){
color(i);
t[col[i]]=i;
}
}
for(int i=1;i<=n;i++) cout<<col[scc[i]]<<' ';
cout<<'\n';
}
int main() {
ios::sync_with_stdio(0),cin.tie(0);
int _ = 1;
//cin >> _;
while(_--) solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3772kb
input:
5 5 1 4 2 3 1 3 2 5 5 1
output:
2 2 2 1 2
result:
ok AC
Test #2:
score: 0
Accepted
time: 1ms
memory: 3828kb
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: 3800kb
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: -100
Wrong Answer
time: 950ms
memory: 6696kb
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:
2607 3300 2662 3111 3863 3166 3325 2738 2022 1927 3904 4877 3326 5092 3037 3402 516 3455 1756 25 2509 585 5114 2995 3310 29 3456 4253 2820 28 1365 2382 3457 27 2722 2723 286 3458 5138 26 1958 2236 3459 534 25 687 3460 4189 24 3461 915 23 1577 4895 3275 187 4399 3462 1131 22 2367 4686 3762 4041 158 3...
result:
wrong answer Integer 2607 violates the range [1, 1750]