Submission #1049650

#TimeUsernameProblemLanguageResultExecution timeMemory
1049650Gromp15Ancient Books (IOI17_books)C++17
70 / 100
1531 ms373772 KiB
#include <bits/stdc++.h> #define ll long long #include "books.h" #define sz(x) (int)x.size() #define all(x) x.begin(), x.end() #define ar array using namespace std; template<typename T> bool ckmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; } template<typename T> bool ckmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; } struct seg { int N; vector<vector<ar<int, 2>>> adj; seg(int n) : N(1<<(__lg(n)+1)), adj(2*N) { for (int i = 2; i < 2*N; i++) adj[i].push_back({i >> 1, 0}); } void add_edge(int x, int y) { adj[x+N].push_back({y+N, 1}); } void add_edge(int node, int nl, int nr, int ql, int qr, int x) { // l and r go to x if (ql > nr || qr < nl) return; if (ql <= nl && nr <= qr) { adj[node].push_back({x + N, 0}); return; } int mid = (nl+nr)/2; add_edge(node * 2, nl, mid, ql, qr, x); add_edge(node * 2 + 1, mid + 1, nr, ql, qr, x); } void bfs(vector<int>& dist, vector<int> nodes) { vector<int> dist2(2 * N, 1e9); for (int i = 0; i < sz(dist); i++) dist2[i + N] = dist[i]; deque<int> q; vector<int> idx(sz(dist)); iota(all(idx), 0); sort(all(idx), [&](int x, int y) { return dist[x] < dist[y]; }); int on = 1; q.emplace_back(idx[0] + N); while (q.size()) { int v = q[0]; q.pop_front(); while (on < sz(dist) && (q.empty() || dist[idx[on]] <= dist2[q[0]])) { q.emplace_front(idx[on++] + N); } for (auto [u, w] : adj[v]) { if (ckmin(dist2[u], dist2[v] + w)) { if (!w) q.emplace_front(u); else q.emplace_back(u); } } } assert(on == sz(dist)); for (int i = 0; i < sz(dist); i++) dist[i] = dist2[i + N]; } }; long long minimum_walk(std::vector<int> p, int s) { int n = p.size(); { int l = s, r = s; bool f = 0; for (int i = s; i >= 0; i--) if (i != p[i]) l = i, f = 1; for (int i = s; i < n; i++) if (i != p[i]) r = i, f = 1; if (!f) { return 0; } p = vector<int>(p.begin() + l, p.begin() + r + 1); n = r - l + 1; } seg st(n); for (int i = 0; i < n; i++) { if (i) st.add_edge(i, i-1); if (i+1 < n) st.add_edge(i, i+1); } vector<bool> vis(n); ll ans = 0; for (int i = 0; i < n; i++) if (!vis[i]) { int L = i, R = i, tmp = i; vector<int> pth; while (!vis[tmp]) { ans += abs(tmp - p[tmp]); ckmax(R, tmp), vis[tmp] = 1; pth.emplace_back(tmp); tmp = p[tmp]; } for (int v : pth) st.add_edge(1, 0, st.N-1, L, R, v); } vector<int> d1(n, 1e9), d2(n, 1e9); d1[0] = 0, d2[n-1] = 0; st.bfs(d1, {0}); st.bfs(d2, {n-1}); vector<int> d3(n); for (int i = 0; i < n; i++) d3[i] = d1[i] + d2[i]; vector<int> tot(n); iota(all(tot), 0); st.bfs(d3, tot); return ans + 2 * d3[s]; }
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