QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#209407 | #6329. Colorful Graph | ucup-team870 | RE | 1ms | 4504kb | C++14 | 4.2kb | 2023-10-10 14:53:47 | 2023-10-10 14:53:47 |
Judging History
answer
#include <bits/stdc++.h>
#define rep(i,l,r) for(int i=l; i<=r; i++)
#define per(i,r,l) for(int i=r; i>=l; i--)
#define IOS {cin.tie(0);cout.tie(0);ios::sync_with_stdio(0);}
using namespace std;
typedef long long ll;
typedef pair<int,int> P;
const int N = 20010;
struct Edge {
int to, next, flow;
} ed[N], tmp[N];
int head[N], sz = -1, cur[N], deep[N], s, t, vis[N], ksj[N];
vector<int> e[N];
void addEdge(int from, int to, int flow) {
sz++;
ed[sz].next = head[from];
head[from] = sz;
ed[sz].flow = flow;
ed[sz].to = to;
}
void add(int u, int v, int flow) {
addEdge(u, v, flow);
addEdge(v, u, 0);
}
bool bfs() {
queue <int> q;
q.push(s);
memset(deep, 0, sizeof(deep));
deep[s] = 1;
while (!q.empty()) {
int u = q.front();
q.pop();
for (int i = head[u]; i != -1; i = ed[i].next) {
int v = ed[i].to;
if (deep[v] == 0 && ed[i].flow > 0) {
deep[v] = deep[u] + 1;
q.push(v);
if (v == t) return true;
}
}
}
return false;
}
int dfs(int u, int flow) {
if (u == t) return flow;
int rest = flow;
for (int i = cur[u]; i != -1; i = ed[i].next) {
int v = ed[i].to;
if (deep[v] == deep[u] + 1 && ed[i].flow > 0 && rest) {
int now = dfs(v, min(ed[i].flow, rest));
if (!now) deep[v] = 0;
rest -= now;
ed[i].flow -= now;
ed[i^1].flow += now;
if (ed[i].flow) cur[u] = i;
if (rest == 0) break;
}
}
if (rest == flow) deep[u] = -1;
return flow - rest;
}
int dinic() {
int flow = 0;
while (bfs()) {
for (int i = 1; i <= t; i++) cur[i] = head[i];
flow += dfs(s, 1e9);
}
return flow;
}
stack<int> stt;
int low[N], dfn[N], inst[N], cnt, bel[N], num;
void tarjan(int u) {
dfn[u] = low[u] = ++cnt;
stt.push(u), inst[u] = 1;
for (auto v: e[u]) {
if (!dfn[v]) tarjan(v), low[u] = min(low[u], low[v]);
else if (inst[v]) low[u] = min(low[u], dfn[v]);
}
if (low[u] == dfn[u]) {
int now;
num++;
do {
now = stt.top();
stt.pop();
inst[now] = 0;
bel[now] = num;
} while (now != u);
}
}
int fa[N];
bool solve(int u, int kk) {
vis[u] = 1;
// cout <<u<<"$"<<endl;
for (int i = head[u]; i!=-1; i = ed[i].next) {
int v = ed[i].to;
if (vis[v]) continue;
if (ed[i^1].flow == 0) continue;
// cout<<"#";
ed[i^1].flow--;
// cout << v<<' '<<t<<"$"<<endl;
if (v == t) {
fa[kk] = u-num;
// cout <<"#";
return true;
}
if (solve(v, kk)) return true;
ed[i^1].flow++;
}
return false;
}
int find(int x) {
return x == fa[x]? x: find(fa[x]);
}
int main() {
memset(head, -1, sizeof(head));
int n, m;
scanf("%d%d", &n, &m);
rep (i, 1, m) {
int u, v; scanf("%d%d", &u, &v);
tmp[i].to = u;
tmp[i].next = v;
e[u].push_back(v);
// e[v].push_back(u);
}
rep (i, 1, n) {
if (!dfn[i]) tarjan(i);
}
s = 2*num + 1, t = s+1;
rep (i, 1, t) fa[i] =i;
// cout<<m
rep (i, 1, m) {
int u = tmp[i].to, v = tmp[i].next;
if (bel[u] != bel[v]) {
// cout <<bel[u]<<' '<<bel[v]<<"#"<<endl;
add(bel[u], bel[v]+num, 1e9);
add(bel[u]+num, bel[v]+num, 1e9);
}
}
rep (i, 1, num) {
add(s, i, 1);
add(i+num, t, 1);
}
// cout << num - dinic()<<endl;
dinic();
int kk = 0;
for (int i = head[s]; i != -1; i = ed[i].next) {
if (ed[i].flow == 1) ksj[ed[i].to] = ++kk;//, cout << ed[i].to<<"%\n";
}
// cout <<kk<<endl;
for (int i = head[s]; i != -1; i = ed[i].next) {
if (ed[i].flow == 0) memset(vis, 0, sizeof(vis)), solve(ed[i].to, ed[i].to);
}
rep (i, 1, n) {
cout << ksj[find(bel[i])]<<' ';
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 4448kb
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: 1ms
memory: 4504kb
input:
5 7 1 2 2 1 4 3 5 1 5 4 4 1 4 5
output:
2 2 1 2 2
result:
ok AC
Test #3:
score: 0
Accepted
time: 1ms
memory: 4372kb
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
Runtime Error
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 ...