QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#115318 | #6329. Colorful Graph | xaphoenix# | RE | 1ms | 3764kb | C++14 | 3.8kb | 2023-06-25 17:05:02 | 2023-06-25 17:05:04 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define pf push_front
#define LC k<<1
#define RC k<<1|1
#define IO cin.sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define all(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())
#define rep(i,a,n) for (int i = a; i < n; i++)
#define repn(i,a,n) for (int i = a; i <= n; i++)
#define per(i,a,n) for (int i = (n) - 1; i >= a; i--)
#define pern(i,a,n) for (int i = n; i >= a; i--)
typedef long long LL;
typedef long double LD;
typedef unsigned long long ull;
typedef pair<int, int> PII;
typedef pair<int, LL> PIL;
typedef pair<LL, int> PLI;
typedef pair<double, double> PDD;
typedef pair<ull, ull> PUU;
typedef pair<LL, LL> PLL;
const int N = 7100;
const int M = 110000;
const int mod = 1e9+7;
const int inf = (int)1e9;
const LL INF = 1e18;
const double eps = 1e-9;
mt19937_64 Rand((unsigned long long)new char);
#define rand Rand
int n, m;
int dfn[N], low[N], instack[N], scc[N], cnt, scc_cnt;
stack<int> st;
vector<int> g[N];
void tarjan(int x) {
dfn[x] = low[x] = ++cnt;
st.push(x);
instack[x] = 1;
for (auto y: g[x]) {
if (dfn[y] == 0) {
tarjan(y);
low[x] = min(low[x], low[y]);
}
else if (instack[y]) low[x] = min(low[x], dfn[y]);
}
if (low[x]==dfn[x]) {
++scc_cnt;
while (!st.empty() && st.top() != x) {
scc[st.top()] = scc_cnt;
instack[st.top()] = 0;
st.pop();
}
st.pop();
scc[x] = scc_cnt;
instack[x] = 0;
}
}
int fa[N], col[N];
int ans[N], que[N], tail, tot;
int find(int x) {
return fa[x] == x? x: fa[x] = find(fa[x]);
}
struct MCMF {
// bfs, dinic
// st must be the lowest index, ed must be the highest index
int e[M], f[M], pre[M], last[N];
int d[N], now[N];
int num, st, ed, maxflow;
queue<int> q;
int left, right;
void init() {
num = 1;
repn(i, st, ed) last[i] = 0;
maxflow = 0;
}
void insert(int x, int y, int z) {
e[++num] = y, f[num] = z, pre[num] = last[x], last[x] = num;
e[++num] = x, f[num] = 0, pre[num] = last[y], last[y] = num;
}
bool bfs() {
memset(d, -1, sizeof(d));
d[st] = 0;
q.push(st);
while(!q.empty()) {
int now = q.front();
for (int i = last[now]; i; i = pre[i]) if (f[i] && d[e[i]] == -1) {
d[e[i]] = d[now] + 1;
q.push(e[i]);
}
q.pop();
}
if (d[ed] == -1) return 0;
return 1;
}
int dfs(int x, int incf) {
if (x == ed) return incf;
int flow = 0, w;
for (int i = now[x]; i; i = pre[i]) if (f[i] && d[e[i]] == d[x] + 1) {
w = dfs(e[i], min(incf - flow, f[i]));
f[i] -= w, f[i ^ 1] += w; flow += w;
if (f[i]) now[x] = i;
if (flow == incf) {
if (x == st) left = (e[i] + 1) / 2;
if (e[i] == ed) right = (x + 1) / 2;
return incf;
}
}
if (!flow) d[x] = -1;
return flow;
}
void run() {
while(bfs()) {
repn(i, st, ed) now[i] = last[i];
maxflow += dfs(st, 1);
int fx = find(left), fy = find(right);
fa[fx] = fy;
}
}
}solver;
int main() {
IO;
cin >> n >> m;
repn(i, 1, m) {
int x, y;
cin >> x >> y;
g[x].pb(y);
}
repn(i, 1, n) if (dfn[i] == 0) tarjan(i);
solver.st = 0, solver.ed = scc_cnt * 2 + 1;
solver.init();
repn(i, 1, scc_cnt) {
solver.insert(0, i * 2 - 1, 1), solver.insert(i * 2, scc_cnt * 2 + 1, 1);
solver.insert(i * 2, i * 2 - 1, n);
}
repn(x, 1, n) for (auto y: g[x]) {
if (scc[x] == scc[y]) continue;
solver.insert(2 * scc[x] - 1, 2 * scc[y], n);
}
repn(i, 1, scc_cnt) fa[i] = i;
solver.run();
repn(i, 1, scc_cnt) if (!ans[find(i)]) ans[find(i)] = ++tot;
repn(i, 1, n) cout << ans[find(scc[i])] << " \n"[i == n];
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3664kb
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: 3728kb
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: 3764kb
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
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 ...