# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1104991 | SoMotThanhXuan | Swapping Cities (APIO20_swap) | C++17 | 0 ms | 0 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
const int maxN = 3e5 + 5;
int pre[maxN], sz[maxN], curr[maxN], val[maxN], par[20][maxN], depth[maxN], mx[20][maxN], deg[maxN], node;
bool take[maxN], good[maxN], is_true[20][maxN], is_there_any_answer = false;
vector<int> adj[maxN];
int find_set(int u) {
return (u == pre[u]) ? u : pre[u] = find_set(pre[u]);
}
void union_set(int u, int v, int w) {
int a = find_set(u), b = find_set(v);
++node;
if (a == b) {
adj[node].push_back(curr[a]);
curr[a] = node;
good[a] = true;
take[node] = true;
val[node] = w;
return ;
}
if (sz[a] < sz[b]) swap(a, b);
pre[b] = a;
sz[b] += sz[a];
adj[node].push_back(curr[a]);
adj[node].push_back(curr[b]);
curr[a] = node;
if (good[a] || good[b] || ++deg[u] >= 3 || ++deg[v] >= 3) good[a] = true;
take[node] = good[a];
val[node] = w;
}
void dfs(int u, int pre) {
is_there_any_answer |= take[u];
for (auto v: adj[u]) {
if (v == pre) continue;
par[0][v] = u;
mx[0][v] = val[u];
is_true[0][v] = take[u];
depth[v] = depth[u] + 1;
dfs(v, u);
}
}
struct Ed {
int u, v, w;
bool operator < (const Ed& rhs) const {
return w < rhs.w;
}
} edge[maxN];
int get_lca(int u, int v) {
if (depth[u] < depth[v]) swap(u, v);
for (int k = 18; k >= 0; k--) {
if (depth[par[k][u]] >= depth[v])
u = par[k][u];
}
if (u == v) return u;
for (int k = 18; k >= 0; k--) {
if (par[k][u] != par[k][v]) {
u = par[k][u];
v = par[k][v];
}
}
return par[0][u];
}
void init(int n, int m, vector<int> U, vector<int> V, vector<int> W) {
for (int i = 1; i <= n + m; i++) {
pre[i] = i;
sz[i] = 1;
if (i <= n) curr[i] = i;
}
for (int i = 0; i < m; i++) {
U[i]++; V[i]++;
edge[i + 1] = {U[i], V[i], W[i]};
}
sort(edge + 1, edge + m + 1);
node = n;
for (int i = 1; i <= m; i++) {
auto [u, v, w] = edge[i];
union_set(u, v, w);
}
depth[n + m] = 1;
dfs(n + m, n + m);
//for (int i = 1; i <= n + m; i++) {
//cout << "Debug " << val[i] << ' '<< take[i] << '\n';
//}
for (int k = 1; k <= 18; k++)
for (int i = 1; i <= n + m; i++) {
par[k][i] = par[k - 1][par[k - 1][i]];
mx[k][i] = max(mx[k - 1][i], mx[k - 1][par[k - 1][i]]);
is_true[k][i] = (is_true[k - 1][i] || is_true[k - 1][par[k - 1][i]]) ? true : false;
}
}
int getMinimumFuelCapacity(int x, int y) {
if (!is_there_any_answer) return -1;
x++; y++;
int lca = get_lca(x, y), ans = 0; bool valid = false;
for (int k = 18; k >= 0; k--)
if (depth[par[k][x]] >= depth[lca]) {
ans = max(ans, mx[k][x]);
valid |= is_true[k][x];
x = par[k][x];
}
for (int k = 18; k >= 0; k--)
if (depth[par[k][y]] >= depth[lca]) {
ans = max(ans, mx[k][y]);
valid |= is_true[k][y];
y = par[k][y];
}
if (valid) return ans;
for (int k = 18; k >= 0; k--)
if (!is_true[k][lca]) {
ans = max(ans, mx[k][lca]);
lca = par[k][lca];
}
ans = max(ans, mx[0][lca]);
return ans;
}
int main() {
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int mn, nm, q;
cin >> mn >> nm >> q;
vector<int> a, b, c;
for (int i = 1; i <= nm; i++) {
int u, v, w;
cin >> u >> v >> w;
--u;
--v;
a.push_back(u);
b.push_back(v);
c.push_back(w);
}
init(mn, nm, a, b, c);
while (q--) {
int x, y;
cin >> x >> y;
--x;
--y;
cout << getMinimumFuelCapacity(x, y) << '\n';
}
return 0;
}