제출 #444253

#제출 시각아이디문제언어결과실행 시간메모리
444253peijar식물 비교 (IOI20_plants)C++17
0 / 100
428 ms69656 KiB
#include "plants.h" #include <bits/stdc++.h> using namespace std; /* * Si h[i] < h[i+1], alors r[i+1] <= r[i] * Si h[i] > h[i+1] alors r[i+1] >= r[i] * Donc si on a r[i] != r[i+1] on peut comparer r[i] et r[i+1] ! * r[i+1] > r[i] => h[i+1] < h[i] * r[i+1] < r[i] => h[i+1] > h[i] * 1 : AC * 2 : AC * 3 : AC * 4 : AC * 5 : AC * 6 : AC * 7 : NA * * If can build graph efficiently then ez ! */ const int MAXN = 2e5; const int MAXP = 18; int k; int lftEdge[MAXN][MAXP], rgtEdge[MAXN][MAXP]; int nbPlusGrands[MAXN]; bool reach[301][301]; vector<int> order; int nbPlantes; struct Seg { int nbValeurs; vector<int> order; vector<int> valeurs; vector<int> iDeb, iFin, lazy, minVal; const int INF = 1e9; Seg(vector<int> _v) : nbValeurs(_v.size()), valeurs(_v) { int p = 0; while ((1 << p) < nbValeurs) ++p; int x = 2 * (1 << p) + 1; iDeb.resize(x), iFin.resize(x), lazy.resize(x), minVal.resize(x); buildTree(1, 0, nbValeurs - 1); while ((int)order.size() < nbValeurs) getNxt(); } void pull(int iNoeud) { minVal[iNoeud] = min(minVal[2 * iNoeud], minVal[2 * iNoeud + 1]); } void push(int iNoeud) { if (!lazy[iNoeud]) return; minVal[iNoeud] += lazy[iNoeud]; if (iDeb[iNoeud] < iFin[iNoeud]) { lazy[2 * iNoeud] += lazy[iNoeud]; lazy[2 * iNoeud + 1] += lazy[iNoeud]; } lazy[iNoeud] = 0; } void buildTree(int iNoeud, int deb, int fin) { iDeb[iNoeud] = deb, iFin[iNoeud] = fin; if (deb == fin) { minVal[iNoeud] = valeurs[deb]; return; } buildTree(2 * iNoeud, deb, (deb + fin) / 2); buildTree(2 * iNoeud + 1, (deb + fin) / 2 + 1, fin); pull(iNoeud); } void decrement(int iNoeud, int deb, int fin) { push(iNoeud); if (deb > iFin[iNoeud] or fin < iDeb[iNoeud]) return; if (deb <= iDeb[iNoeud] and iFin[iNoeud] <= fin) { lazy[iNoeud]--; push(iNoeud); return; } decrement(2 * iNoeud, deb, fin); decrement(1 + 2 * iNoeud, deb, fin); pull(iNoeud); } int findFirstZero(int iNoeud, int deb, int fin) { push(iNoeud); if (minVal[iNoeud] or iDeb[iNoeud] > fin or iFin[iNoeud] < deb) return -1; if (iDeb[iNoeud] == iFin[iNoeud]) return iDeb[iNoeud]; int retLft = findFirstZero(2 * iNoeud, deb, fin); if (retLft != -1) return retLft; return findFirstZero(2 * iNoeud + 1, deb, fin); } void delVal(int iNoeud, int pos) { push(iNoeud); if (iDeb[iNoeud] > pos or iFin[iNoeud] < pos) return; if (iDeb[iNoeud] == iFin[iNoeud]) { minVal[iNoeud] = INF; return; } delVal(2 * iNoeud, pos); delVal(2 * iNoeud + 1, pos); pull(iNoeud); } int findZeroBefore(int pos) { int posAvant = pos - k + 1; if (posAvant >= 0) return findFirstZero(1, posAvant, pos - 1); else { posAvant += nbValeurs; int ret = findFirstZero(1, posAvant, nbValeurs - 1); if (ret == -1 and pos) ret = findFirstZero(1, 0, pos - 1); return ret; } } void get(int pos) { // cout << "EXTRACTING " << pos << endl; while (true) { int x = findZeroBefore(pos); if (x == -1) break; get(x); } order.push_back(pos); int posAvant = pos - k + 1; delVal(1, pos); if (pos) decrement(1, max(0, posAvant), pos - 1); if (posAvant < 0) decrement(1, posAvant + nbValeurs, nbValeurs - 1); // cout << "EXTRACTED " << pos << endl; } void getNxt() { int posZero = findFirstZero(1, 0, nbValeurs - 1); assert(posZero != -1); get(posZero); } }; int disCircle(int x, int y) { if (x < y) return y - x; return nbPlantes - x + y; } struct segMax { vector<pair<int, int>> seg; int deb = 0, p = 0; segMax(int n) { while ((1 << p) < n) ++p; deb = 1 << p; seg.assign(2 * deb + 1, make_pair(-1, n)); } void upd(int i, int v) { i += deb; seg[i] = make_pair(v, i - deb); while (i > 1) { i /= 2; seg[i] = max(seg[2 * i], seg[2 * i + 1]); } } int query(int l, int r) { pair<int, int> ret(-1, nbPlantes); l += deb, r += deb; while (l < r) { if (l % 2) ret = max(ret, seg[l++]); if (r % 2 == 0) ret = max(ret, seg[r--]); l /= 2, r /= 2; } if (l == r) ret = max(ret, seg[l]); return ret.second; } }; void init(int _k, vector<int> r) { k = _k; nbPlantes = r.size(); for (int iPlante = 0; iPlante < nbPlantes; ++iPlante) { nbPlusGrands[iPlante] = r[iPlante]; } Seg s(r); order.resize(nbPlantes + 1); for (int i = 0; i < nbPlantes; ++i) order[s.order[i]] = nbPlantes - 1 - i; order[nbPlantes] = -1; segMax seg(nbPlantes); reverse(s.order.begin(), s.order.end()); for (int i : s.order) { int ret1 = nbPlantes, ret2 = nbPlantes; if (i) { ret1 = seg.query(max(0, i - k + 1), i - 1); } if (i - k + 1 < 0) { ret2 = seg.query(i - k + 1 + nbPlantes, nbPlantes - 1); } if (order[ret1] > order[ret2]) { lftEdge[i][0] = ret1; } else { lftEdge[i][0] = ret2; } ret1 = ret2 = nbPlantes; if (i < nbPlantes - 1) ret1 = seg.query(i + 1, min(nbPlantes - 1, i + k - 1)); if (i + k - 1 >= nbPlantes) ret2 = seg.query(0, i + k - 1 - nbPlantes); if (order[ret1] > order[ret2]) rgtEdge[i][0] = ret1; else rgtEdge[i][0] = ret2; seg.upd(i, order[i]); } lftEdge[nbPlantes][0] = rgtEdge[nbPlantes][0] = nbPlantes; for (int p = 0; p + 1 < MAXP; ++p) for (int i = 0; i <= nbPlantes; ++i) { lftEdge[i][p + 1] = lftEdge[lftEdge[i][p]][p]; rgtEdge[i][p + 1] = rgtEdge[rgtEdge[i][p]][p]; } } int goRight(int x, int d) { for (int p = MAXP - 1; p >= 0; --p) { int y = rgtEdge[x][p]; if (y == nbPlantes) continue; int dis = (y - x + nbPlantes) % nbPlantes; if (dis <= d) d -= dis, x = y; } return x; } int goLeft(int x, int d) { for (int p = MAXP - 1; p >= 0; --p) { int y = lftEdge[x][p]; if (y == nbPlantes) continue; int dis = (x - y + nbPlantes) % nbPlantes; if (dis <= d) d -= dis, x = y; } return x; } bool isGreater(int x, int y) { // x > y ? int d1 = (y - x + nbPlantes) % nbPlantes; int d2 = (x - y + nbPlantes) % nbPlantes; int x1 = goRight(x, d1), x2 = goLeft(x, d2); if ((y - x1 + nbPlantes) % nbPlantes < k and order[x1] >= order[y]) return true; if ((x2 - y + nbPlantes) % nbPlantes < k and order[x2] >= order[y]) return true; return false; } int compare_plants(int x, int y) { if (isGreater(x, y)) return 1; if (isGreater(y, x)) return -1; return 0; }
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