Submission #329721

#TimeUsernameProblemLanguageResultExecution timeMemory
329721two_sidesRoller Coaster Railroad (IOI16_railroad)C++17
100 / 100
223 ms14940 KiB
#include "railroad.h" #include <bits/stdc++.h> using namespace std; struct dsu { vector <int> par; dsu(int n) { par.resize(n); iota(begin(par), end(par), 0); } int find_set(int u) { return u == par[u] ? u : par[u] = find_set(par[u]); } bool union_set(int u, int v) { u = find_set(u); v = find_set(v); if (u == v) return false; par[v] = u; return true; } }; struct edge { int u, v, w; }; long long plan_roller_coaster (vector <int> s, vector <int> t) { int n = s.size(); long long ans = 0; vector <int> vals; vector <edge> lst; for (int x : s) vals.push_back(x); for (int x : t) vals.push_back(x); sort(begin(vals), end(vals)); vals.erase(unique(begin(vals), end(vals)), end(vals)); vector <int> bal(vals.size() + 1); dsu ds(vals.size()); for (int i = 0; i < n; i++) { s[i] = lower_bound(vals.begin(), vals.end(), s[i]) - vals.begin(); t[i] = lower_bound(vals.begin(), vals.end(), t[i]) - vals.begin(); bal[s[i]]++; bal[t[i]]--; ds.union_set(s[i], t[i]); } int m = vals.size(), cur = 1; for (int i = m - 1; i > 0; i--) { cur += bal[i]; if (cur < 0) { ans += (long long)cur * (vals[i - 1] - vals[i]); ds.union_set(i - 1, i); } else if (cur > 0) ds.union_set(i - 1, i); else lst.push_back({i - 1, i, vals[i] - vals[i - 1]}); } sort(lst.begin(), lst.end(), [](const edge &p, const edge &q) { return p.w < q.w; }); for (const edge &e : lst) if (ds.union_set(e.u, e.v)) ans += e.w; return ans; }
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