QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#97477 | #6329. Colorful Graph | jeroenodb# | TL | 7744ms | 28272kb | C++20 | 5.1kb | 2023-04-16 21:44:08 | 2023-04-16 21:44:10 |
Judging History
answer
#pragma GCC optimize("O3")
#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<bitset<7000>> 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<bitset<7000>> 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);
dag.resize(id);
for(int i=0;i<n;++i) for(int to : adj[i]) {
dag[boss[i]].push_back(boss[to]);
}
fill(all(visited),0);
for(int i=0;i<id;++i) {
if(!visited[i]) {
auto dfsd = [&](auto&& self, int at) -> void {
visited[at]=1;
reach[at][at]=1;
for(int to : dag[at]) {
if(!visited[to]) {
self(self,to);
}
reach[at]|=reach[to];
}
};
dfsd(dfsd,i);
}
}
for(int i=0;i<id;++i) reach[i][i]=0;
return reach;
}
};
struct HopcroftKarp {
const int N, M;
std::vector<bitset<7000>> adj_left;
std::vector<int> matchL, matchR;
HopcroftKarp (int N, int M, vector<bitset<7000>> adj)
: N(N), M(M), matchL(N, -1), matchR(M, -1), adj_left(adj) {
}
int maxmatching () {
int sz = 0;
for(int u=0;u<N;++u) {
for(int v=adj_left[u]._Find_next(u);v<M;v=adj_left[u]._Find_next(v)) {
if(matchR[v]==-1) {
matchL[u]=v;
matchR[v]=u;
sz++;
break;
}
}
}
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=adj_left[u]._Find_next(u);v<M;v=adj_left[u]._Find_next(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';
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3376kb
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: 3380kb
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: 3456kb
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: 0
Accepted
time: 7744ms
memory: 28264kb
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:
1750 569 1623 1022 1383 1749 1748 1072 1747 714 1342 373 1747 157 730 1746 596 1745 120 622 1690 1247 135 1227 1184 1744 1743 996 1500 1742 153 325 1741 1740 257 1241 1235 1739 111 1738 1427 1736 1737 252 1736 1625 1735 1060 1734 1733 1286 1732 1018 355 1546 476 850 1731 141 1730 72 564 1484 1205 16...
result:
ok AC
Test #5:
score: 0
Accepted
time: 27ms
memory: 28272kb
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:
2088 2098 827 544 469 1973 1566 1831 162 2236 2252 862 346 1945 1305 2333 1649 1371 1117 572 2332 1366 1951 1980 1550 242 706 2246 1570 1162 647 1564 1369 737 2331 2330 1887 983 332 994 2329 1624 2160 2328 1269 2327 528 2326 2325 2211 1616 2181 926 1863 502 593 2324 2323 2322 2321 204 113 2320 2202 ...
result:
ok AC
Test #6:
score: -100
Time Limit Exceeded
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...