Submission #1074813

#TimeUsernameProblemLanguageResultExecution timeMemory
1074813ArthuroWichAncient Books (IOI17_books)C++17
100 / 100
124 ms43716 KiB
#include "books.h" #include<bits/stdc++.h> using namespace std; int n, minl, maxr; vector<int> pref, f1, f2; vector<pair<int, int>> cyc; pair<int, int> getrange(int l, int r) { int lv, rv; lv = min(l, min(cyc[l].first, cyc[r].first)); rv = max(r, max(cyc[l].second, cyc[r].second)); while(lv < l || r < rv) { if (lv < l) { l--; lv = min(lv, cyc[l].first); rv = max(rv, cyc[l].second); } else { r++; lv = min(lv, cyc[r].first); rv = max(rv, cyc[r].second); } } return {l, r}; } long long minimum_walk(vector<int> p, int s) { long long int ans = 0; n = p.size(); pref.resize(n+1, 0); f1.resize(n, 0); f2.resize(n, 0); cyc.resize(n); minl = INT_MAX; maxr = 0; for (int i = 0; i < n; i++) { ans += abs(i-p[i]); } vector<pair<int, int>> cycles; vector<int> vis(n, 0); for (int i = 0; i < n; i++) { if (p[i] == i) { cyc[i] = {i, i}; continue; } if (vis[i]) { continue; } int a = i, l = i, r = i; vis[i] = 1; a = p[i]; vis[a] = 1; l = min(l, a); r = max(r, a); while(a != i) { a = p[a]; vis[a] = 1; l = min(l, a); r = max(r, a); } a = p[a]; cyc[a] = {l, r}; while(a != i) { a = p[a]; cyc[a] = {l, r}; } minl = min(minl, l); maxr = max(maxr, r); cycles.push_back({min(l, r), max(l, r)}); } for (auto [i, j] : cycles) { pref[i] += 1; pref[j] -= 1; } for (int i = 1; i < n; i++) { pref[i] += pref[i-1]; } if (s == 0) { for (int i = n-1; i >= 0; i--) { if (pref[i] > 0) { f2[i] = 1; } if (i < n-1) { f2[i] |= f2[i+1]; } } for (int i = n-1; i >= 0; i--) { if (f2[i] && pref[i] == 0) { ans += 2; } } } else { int l = s, r = s; pair<int, int> ra; ra = getrange(l, r); l = ra.first; r = ra.second; while(minl < l || r < maxr) { bool f1 = 0, f2 = 0; int dp1 = 0, dp2 = 0, lv1 = l, rv1 = r, lv2 = l, rv2 = r; while(minl < lv1) { lv1--; ra = getrange(lv1, rv1); lv1 = ra.first; rv1 = ra.second; dp1 += 2; if (rv1 > r) { f1 = 1; break; } } while(rv2 < maxr) { rv2++; ra = getrange(lv2, rv2); lv2 = ra.first; rv2 = ra.second; dp2 += 2; if (lv2 < l) { f2 = 1; break; } } if (f1 && f2) { ans += min(dp1, dp2); } else { ans += dp1+dp2; } l = min(lv1, lv2); r = max(rv1, rv2); } } return ans; }
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