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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#97469 | #6329. Colorful Graph | jeroenodb# | TL | 2ms | 3492kb | C++20 | 4.5kb | 2023-04-16 21:21:07 | 2023-04-16 21:21:10 |
Judging History
answer
#include "bits/stdc++.h"
using namespace std;
#define all(x) begin(x),end(x)
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { string sep; for (const T &x : v) os << sep << x, sep = " "; return os; }
#define debug(a) cerr << "(" << #a << ": " << a << ")\n";
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pi;
const int mxN = 1e5+1, oo = 1e9;
struct SCC {
vvi adj, rev,dag;
vi order, order2;
vi boss;
vector<bool> visited;
vector<vector<bool>> reach;
int n;
#define rs(a) a.resize(n)
SCC(int nn) {
n=nn;
rs(adj),rs(rev),rs(boss),rs(visited);
}
void addEdge(int a, int b) {
adj[a].push_back(b);
rev[b].push_back(a);
}
void dfs1(int at) {
visited[at] = true;
for(int to: adj[at]) if(!visited[to]) dfs1(to);
order.push_back(at);
}
int id;
void dfs2(int at) {
visited[at] = true;
boss[at] = id;
order2.push_back(at);
for(int to: rev[at]) if(!visited[to]) dfs2(to);
}
vector<vector<bool>> run() {
for(int i=0;i<n;++i)
if(!visited[i])
dfs1(i);
fill(all(visited),false);
reverse(all(order));
id=0;
for(int i: order) {
if(!visited[i]) {
dfs2(i),id++;
}
}
reach.resize(id,vector<bool>(id));
dag.resize(id);
for(int i=0;i<n;++i) for(int to : adj[i]) {
dag[boss[i]].push_back(boss[to]);
}
for(int i=0;i<id;++i) {
fill(all(visited),0);
auto dfsd = [&](auto&& self, int at) -> void {
visited[at]=1;
if(i!=at) reach[i][at]=1;
for(int to : dag[at]) if(!visited[to]) self(self,to);
};
dfsd(dfsd,i);
}
return reach;
}
};
struct HopcroftKarp {
const int N, M;
std::vector<vector<bool>> adj_left;
std::vector<int> matchL, matchR;
HopcroftKarp (int N, int M, vector<vector<bool>> adj)
: N(N), M(M), matchL(N, -1), matchR(M, -1), adj_left(adj) {
}
int maxmatching () {
int sz = 0;
for (bool updated = true; updated; ) {
updated = false;
static std::vector<int> root(N), prev(N), qq(N);
static int qi, qj;
// std::queue<int> q;
qi = qj = 0;
std::fill(root.begin(), root.end(), -1),
std::fill(prev.begin(), prev.end(), -1);
for (int i = 0; i < N; i++)
if (matchL[i] == -1)
qq[qj++] = i, root[i] = i, prev[i] = i;
// q.push(i), root[i] = i;
while (qi < qj) {
int u = qq[qi++];
// int u = q.front(); q.pop();
if (matchL[root[u]] != -1) continue;
for(int v=0;v<M;++v) if(adj_left[u][v]) {
if (matchR[v] == -1) {
while (v != -1)
matchR[v] = u, std::swap(matchL[u], v), u = prev[u];
updated = true, sz++;
break;
}
if (prev[matchR[v]] == -1)
v = matchR[v], prev[v] = u, root[v] = root[u], qq[qj++] = v;
// v = matchR[v], prev[v] = u, root[v] = root[u], q.push(v);
}
}
}
return sz;
}
};
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n,m; cin >> n >> m;
SCC scc(n);
while(m--) {
int u,v; cin >> u >> v;
--u,--v;
scc.addEdge(u,v);
}
auto es = scc.run();
HopcroftKarp hp(scc.id,scc.id, es);
hp.maxmatching();
vector<bool> vis(n);
int col=1;
vi cl(scc.id);
for(int i=0;i<scc.id;++i) {
if(!vis[i]) {
cl[i]=col++;
}
int to = hp.matchL[i];
if(to!=-1) cl[to]=cl[i],vis[to]=1;
}
vi ans(n);
for(int i=0;i<n;++i) {
ans[i] = cl[scc.boss[i]];
}
cout << ans << '\n';
}
Details
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Test #1:
score: 100
Accepted
time: 2ms
memory: 3364kb
input:
5 5 1 4 2 3 1 3 2 5 5 1
output:
1 1 1 2 1
result:
ok AC
Test #2:
score: 0
Accepted
time: 2ms
memory: 3452kb
input:
5 7 1 2 2 1 4 3 5 1 5 4 4 1 4 5
output:
2 2 1 1 1
result:
ok AC
Test #3:
score: 0
Accepted
time: 2ms
memory: 3492kb
input:
8 6 6 1 3 4 3 6 2 3 4 1 6 4
output:
4 4 4 4 3 4 2 1
result:
ok AC
Test #4:
score: -100
Time Limit Exceeded
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 ...