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Submission #607348

#TimeUsernameProblemLanguageResultExecution timeMemory
607348piOOESeats (IOI18_seats)C++17
100 / 100
2255 ms99644 KiB
#include "seats.h" #include <bits/stdc++.h> using namespace std; struct node { int mn, cnt; node() { cnt = 0, mn = 0x3f3f3f3f; } }; node operator+(node a, node b) { if (b.cnt != 0) { if (b.mn < a.mn) { a.mn = b.mn, a.cnt = b.cnt; } else if (b.mn == a.mn) { a.cnt += b.cnt; } } return a; } constexpr int N = 1 << 20, dx[] = {-1, 0, 1, 0}, dy[] = {0, 1, 0, -1}; //Up, Right, Down, Left int tag[N << 1], sz = 1; node t[N << 1]; void apply(int x, int v) { tag[x] += v; t[x].mn += v; } void push(int x) { if (tag[x] == 0) { return; } apply(x << 1, tag[x]); apply(x << 1 | 1, tag[x]); tag[x] = 0; } void pull(int x) { t[x] = t[x << 1] + t[x << 1 | 1]; } void modify(int l, int r, int val, int x = 1, int lx = 0, int rx = sz) { if (l >= rx || lx >= r) { return; } if (l <= lx && rx <= r) { apply(x, val); return; } int mid = (lx + rx) >> 1; push(x); modify(l, r, val, x << 1, lx, mid), modify(l, r, val, x << 1 | 1, mid, rx); pull(x); } node get(int l, int r, int x = 1, int lx = 0, int rx = sz) { if (l >= rx || lx >= r || l >= r) { return {}; } if (l <= lx && rx <= r) { return t[x]; } int mid = (lx + rx) >> 1; push(x); return get(l, r, x << 1, lx, mid) + get(l, r, x << 1 | 1, mid, rx); } int n, m, S; vector<int> R, C; vector<vector<int>> p; bool inside(int a, int b) { return a >= 0 && a < n && b >= 0 && b < m; } int prefix[N]; void update(int i, int val, bool O1 = false) { int x = R[i], y = C[i]; int nx[4], ny[4], time[4]; for (int j = 0; j < 4; ++j) { nx[j] = x + dx[j], ny[j] = y + dy[j]; time[j] = inside(nx[j], ny[j]) ? p[nx[j]][ny[j]] : S; } for (int j = 0; j < 4; ++j) { int r = min(time[j], time[(j + 1) % 4]); if (!O1) { modify(i, r, val); } else { prefix[i] += 1; prefix[max(i, r)] -= 1; } r = max(time[j], time[(j + 1) % 4]); if (r < i) { if (!O1) { modify(min(i, r), max(i, r), val); } else { prefix[min(i, r)] += 1; prefix[max(i, r)] -= 1; } } } } void give_initial_chart(int H, int W, vector<int> _R, vector<int> _C) { swap(R, _R), swap(C, _C); n = H, m = W; S = n * m; p.assign(n, vector<int>(m)); for (int i = 0; i < S; ++i) { p[R[i]][C[i]] = i; } sz = 1; while (sz < S) sz <<= 1; for (int i = 0; i < S; ++i) { update(i, 1, true); } for (int i = 0; i < S; ++i) { if (i > 0) { prefix[i] += prefix[i - 1]; } t[i + sz].mn = prefix[i]; t[i + sz].cnt = 1; } for (int i = sz - 1; i > 0; --i) { pull(i); } } int swap_seats(int a, int b) { if (a > b) { swap(a, b); } vector<int> yy = {a, b}; for (int _ = 0; _ < 2; ++_) { for (int i = 0; i < 4; ++i) { int nx = R[a] + dx[i], ny = C[a] + dy[i]; if (inside(nx, ny)) { yy.push_back(p[nx][ny]); } } swap(a, b); } sort(yy.begin(), yy.end()); yy.resize(unique(yy.begin(), yy.end()) - yy.begin()); for (int i: yy) { update(i, -1); } swap(R[a], R[b]), swap(C[a], C[b]); p[R[a]][C[a]] = a, p[R[b]][C[b]] = b; for (int i: yy) { update(i, 1); } return get(0, S).cnt; }
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