제출 #964623

#제출 시각아이디문제언어결과실행 시간메모리
964623fve5자리 배치 (IOI18_seats)C++17
100 / 100
2073 ms142428 KiB
#include <bits/stdc++.h> #include "seats.h" using namespace std; typedef long long i64; struct Info { i64 mi; int cnt; }; void merge(const Info &a, const Info &b, Info &c) { if (a.mi < b.mi) c = a; else if (b.mi < a.mi) c = b; else c = {a.mi, a.cnt + b.cnt}; } Info merge(const Info &a, const Info &b) { if (a.mi < b.mi) return a; if (b.mi < a.mi) return b; return {a.mi, a.cnt + b.cnt}; } class SegTree { vector<Info> arr; vector<i64> lazy; int s; void push(int n, int nb, int ne) { if (!lazy[n]) return; arr[n].mi += lazy[n]; if (nb + 1 != ne) { lazy[2 * n] += lazy[n]; lazy[2 * n + 1] += lazy[n]; } lazy[n] = 0; } void update(int l, int r, i64 d, int n, int nb, int ne) { push(n, nb, ne); if (ne <= l || nb >= r) return; if (l <= nb && ne <= r) { lazy[n] = d; push(n, nb, ne); return; } update(l, r, d, 2 * n, nb, (nb + ne) / 2); update(l, r, d, 2 * n + 1, (nb + ne) / 2, ne); merge(arr[2 * n], arr[2 * n + 1], arr[n]); } Info query(int l, int r, int n, int nb, int ne) { push(n, nb, ne); if (ne <= l || nb >= r) return {(i64)1e18, 1}; if (l <= nb && ne <= r) return arr[n]; return merge( query(l, r, 2 * n, nb, (nb + ne) / 2), query(l, r, 2 * n + 1, (nb + ne) / 2, ne)); } public: void update(int l, int r, i64 d) { update(l, r, d, 1, 0, s); } int query(int l, int r) { return query(l, r, 1, 0, s).cnt; } SegTree() { } SegTree(int N) { s = 1 << (int)ceil(log2(N)); arr.resize(2 * s, {0, 1}); lazy.resize(2 * s); for (int i = s - 1; i > 0; i--) merge(arr[2 * i], arr[2 * i + 1], arr[i]); } }; #define GOOD_SQUARE_VALUE 1 #define BAD_SQUARE_VALUE ((int)1e7) int H, W; vector<vector<int>> grid; vector<pair<int, int>> pos; SegTree segtree; bool get_status(int i, int j, int t) { if (i < 0 || j < 0 || i >= H || j >= W) return false; return grid[i][j] <= t; } int get_square_value(int x, int y, int dx, int dy, int t) { int cnt = get_status(x, y, t) + get_status(x + dx, y, t) + get_status(x, y + dy, t) + get_status(x + dx, y + dy, t); switch (cnt) { case 1: return GOOD_SQUARE_VALUE; case 3: return BAD_SQUARE_VALUE; default: return 0; } } void do_update(int idx, bool rev = false) { auto [x, y] = pos[idx]; int factor = rev ? -1 : +1; i64 upd = 0; // Remove old squares for (auto dx: {-1, +1}) for (auto dy: {-1, +1}) upd -= get_square_value(x, y, dx, dy, idx - 1) * factor; // Add new squares for (auto dx: {-1, +1}) for (auto dy: {-1, +1}) upd += get_square_value(x, y, dx, dy, idx) * factor; // Push to segment segtree.update(idx, H * W, upd); } void give_initial_chart(int H, int W, vector<int> R, vector<int> C) { ::H = H, ::W = W; grid.assign(H, vector<int>(W)); pos.resize(H * W); for (int i = 0; i < H * W; i++) { pos[i] = {R[i], C[i]}; grid[R[i]][C[i]] = i; } segtree = SegTree(H * W); for (int i = 0; i < H * W; i++) { do_update(i); } } int swap_seats(int a, int b) { set<pair<int, int>> to_update; for (auto c: {a, b}) for (int x = max(0, pos[c].first - 1); x <= min(H - 1, pos[c].first + 1); x++) for (int y = max(0, pos[c].second - 1); y <= min(W - 1, pos[c].second + 1); y++) to_update.emplace(x, y); for (auto [x, y]: to_update) do_update(grid[x][y], true); swap(pos[a], pos[b]); grid[pos[a].first][pos[a].second] = a; grid[pos[b].first][pos[b].second] = b; for (auto [x, y]: to_update) do_update(grid[x][y]); return segtree.query(0, H * W); }
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