#include <bits/stdc++.h>
#define lint long long
#define endl '\n'
#define pii pair<int, int>
#define pll pair<lint, lint>
#define For(i,n) for (int i = 0; i < n; i++)
#define FOR For(i, n)
#define fastio ios_base::sync_with_stdio(false);cin.tie(NULL);
using namespace std;
const int M = 3e5+200;
int ds[M] = {};
int find(int x) {
if (ds[x] < 0) return x;
return ds[x] = find(ds[x]);
}
void merge(int a, int b) {
int pa = find(a);
int pb = find(b);
if (ds[pb] < ds[pa]) swap(pa, pb);
ds[pa] += ds[pb];
ds[pb] = pa;
}
vector<int> adj[M];
vector<pii> nadj[M];
bool vis[M] = {};
vector<int> topo;
void dfs0(int u) {
if (vis[u]) return;
vis[u] = true;
for (auto v : adj[u]) {
dfs0(v);
}
topo.push_back(u);
}
int GLn;
bool vis1[M] = {};
int res[M] = {};
bool val[M] = {}; // valid?
int dfs1(int u, int k) {
if (vis1[u]) return val[u] ? res[u]-1 : -1;
vis1[u] = true;
if (k == GLn) {
res[u] = GLn;
val[u] = true;
return k-1;
}
int toReturn = -1; int mx = nadj[u].size() ? nadj[u][0].first : 0;
for (auto [_,v] : nadj[u]) {
bool wasvis = vis1[v];
int re = dfs1(v, k+1);
if (re != -1 && (!wasvis || _ == mx)) {
toReturn = re-1;
res[u] = re;
val[u] = true;
}
}
return toReturn;
}
bool vis2[M] = {};
int mxs[M] = {};
int dfs2(int u) {
if (vis2[u]) return mxs[u];
vis2[u] = true;
int mx = 0;
for (int v : adj[u]) {
int re = dfs2(v);
mx = max(mx, 1 + re);
nadj[u].push_back({re, v});
}
sort(nadj[u].rbegin(), nadj[u].rend());
return mxs[u] = mx;
}
int main() {
int n, m, v; cin >> n >> m >> v;
GLn = n;
For(i,M) ds[i] = -1;
vector<pii> lesspairs;
while (v--) {
int a,b; char c; cin >> a >> c >> b;
a--; b--;
if (c != '=') {
lesspairs.push_back({a,b});
continue;
}
if (find(a) != find(b)) merge(a, b);
}
vector<int> parents;
For(i,m) {
if (ds[i] < 0) parents.push_back(i);
}
for (auto [a,b] : lesspairs) {
adj[find(a)].push_back(find(b));
}
for (int p : parents) if (!vis[p]) dfs0(p);
reverse(topo.begin(), topo.end());
for (int p : topo) if (!vis2[p]) dfs2(p);
for (int p : topo) if (!vis1[p]) {
dfs1(p, 1);
}
For(i, m) {
int parent = find(i);
if (val[parent]) {
cout << "K" << res[parent] << endl;
} else cout << "?" << endl;
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
16988 KB |
Output is correct |
2 |
Correct |
5 ms |
17100 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
84 ms |
23356 KB |
Output is correct |
2 |
Correct |
87 ms |
23840 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
41 ms |
19140 KB |
Output is correct |
2 |
Correct |
41 ms |
19204 KB |
Output is correct |
3 |
Correct |
42 ms |
19308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
218 ms |
30400 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |