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 "swap.h"
#include <bits/stdc++.h>
using namespace std;
struct DSU {
vector<int> f;
vector<int> siz;
vector<int> deg;
vector<int> ok;
vector<vector<pair<int*, int>>> stk;
DSU(int n) : f(n), siz(n, 1), deg(n, 0), ok(n, false) { iota(f.begin(), f.end(), 0); }
int leader(int u) {
while (u != f[u]) u = f[u];
return u;
}
bool unionize(int u0, int v0) {
stk.emplace_back();
int u = leader(u0);
int v = leader(v0);
if (u == v) {
stk.back().push_back({&ok[u], ok[u]}); ok[u] = true;
return false;
}
if (siz[u] > siz[v]) swap(u, v);
stk.back().push_back({&siz[v], siz[v]}); siz[v] += siz[u];
stk.back().push_back({°[u0], deg[u0]}); deg[u0]++;
stk.back().push_back({°[v0], deg[v0]}); deg[v0]++;
stk.back().push_back({&ok[v], ok[v]}); if (deg[u0] >= 3 || deg[v0] >= 3) ok[v] = true; ok[v] = ok[v] | ok[u];
stk.back().push_back({&f[u], f[u]}); f[u] = v;
return true;
}
bool same(int u, int v) {
return leader(u) == leader(v);
}
bool isOk(int u) {
return ok[leader(u)];
}
void rollback() {
for (auto [ptr, val] : stk.back()) {
*ptr = val;
}
stk.pop_back();
}
};
int n, m;
vector<array<int, 3>> edges;
const int B = 1600;
vector<DSU> dsus;
int b;
void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
n = N;
m = M;
edges.resize(m);
for (int i = 0; i < m; i++) {
edges[i] = {U[i], V[i], W[i]};
}
sort(edges.begin(), edges.end(), [&](array<int, 3> e0, array<int, 3> e1) { return e0[2] < e1[2]; });
dsus.emplace_back(n);
for (b = 0; B * b < m; b++) {
dsus.push_back(dsus.back());
for (int i = B * b; i < min(m, B * b + B); i++) {
dsus.back().unionize(edges[i][0], edges[i][1]);
}
}
b++;
}
int getMinimumFuelCapacity(int X, int Y) {
if (!dsus.back().same(X, Y) || !dsus.back().isOk(X)) return -1;
for (int b0 = 0; ; b0++) {
if (dsus[b0 + 1].same(X, Y) && dsus[b0 + 1].isOk(X)) {
int cnt = 0;
int res;
for (int i = B * b0; ; i++) {
dsus[b0].unionize(edges[i][0], edges[i][1]);
cnt++;
if (dsus[b0].same(X, Y) && dsus[b0].isOk(X)) {
res = edges[i][2];
break;
}
}
while (cnt--) dsus[b0].rollback();
return res;
}
}
}
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