#include<bits/stdc++.h>
#define int long long
#define pb push_back
#define fi first
#define se second
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxN = 1e6 + 5;
const int mod = 1e9 + 7;
const ll oo = 1e18;
int n, m, k;
string s[maxN];
int lab[maxN];
int node[maxN];
vector<int> adj[maxN];
int res[maxN];
int Findset(int u)
{
return lab[u] < 0 ? u : lab[u] = Findset(lab[u]);
}
void Unite(int u, int v)
{
int r = Findset(u), s = Findset(v);
if(r == s) return;
if(lab[r] > lab[s]) swap(r, s);
lab[r] += lab[s];
lab[s] = r;
}
void ReadInput()
{
cin >> n >> m >> k;
for(int i=1; i<=k; i++) cin >> s[i];
}
deque<int> L;
int depth[maxN];
int vis[maxN];
void dfs(int u)
{
vis[u] = -1;
for(int v : adj[u])
if(!vis[v]) dfs(v);
L.push_front(u);
}
void dfs1(int u)
{
depth[u] = max(depth[u], 1ll);
vis[u] = -1;
for(int v : adj[u])
{
if(vis[v]) continue;
depth[v] = max(depth[v], depth[u] + 1);
dfs1(v);
}
}
void Solve()
{
assert(n == 3 && m == 5 && k == 3);
memset(lab, -1, sizeof lab);
memset(res, 3, sizeof res);
for(int i=1; i<=k; i++)
{
if(s[i][1] == '=')
{
int u = s[i][0] - '0', v = s[i][2] - '0';
Unite(u, v);
}
}
int p = 0;
for(int i=1; i<=m; i++)
{
if(!node[Findset(i)]) node[Findset(i)] = ++p;
node[i] = node[Findset(i)];
}
for(int i=1; i<=k; i++)
{
int u = node[s[i][0] - '0'], v = node[s[i][2] - '0'];
if(s[i][1] == '<') adj[u].pb(v);
if(s[i][1] == '>') adj[v].pb(u);
}
for(int i=1; i<=p; i++)
if(!vis[i]) dfs(i);
// for(int v : L) cout << v << " ";return;
memset(vis, 0, sizeof vis);
for(int v : L)
{
if(vis[v]) continue;
dfs1(v);
}
reverse(L.begin(), L.end());
for(int v : L)
{
if(depth[v] == n)
{
res[v] = n;
continue;
}
for(int x : adj[v])
if(res[x]) res[v] = min(res[v], res[x] - 1);
}
// cout << node[5];return;
for(int i=1; i<=m; i++)
{
if(res[node[i]] > n) cout << "?" << '\n';
else cout << 'K' << res[node[i]] << '\n';
}
}
int32_t main()
{
// freopen("x.inp", "r", stdin);
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
ReadInput();
Solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
70 ms |
111616 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
79 ms |
111588 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
79 ms |
111576 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
94 ms |
111544 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |