Submission #759129

#TimeUsernameProblemLanguageResultExecution timeMemory
759129drdilyorSeats (IOI18_seats)C++17
0 / 100
240 ms56384 KiB
#include<bits/stdc++.h> #include "seats.h" using namespace std; using ll = long long; const int inf = 1e9; int h, w; std::vector<int> r, c; vector<vector<int>> arr; struct Fenwick { int n, m; vector<vector<ll>> t; Fenwick() = default; Fenwick(int n, int m) : n(n), m(m), t(n, vector<ll>(m)) {} ll sum(int r, int c) { ll s = 0; for (int i = r; i >= 0; i = (i&(i+1))-1) for (int j = c; j >= 0; j = (j&(j+1))-1) s += t[i][j]; return s; } ll sum(int r1, int c1, int r2, int c2) { return sum(r2, c2) + sum(r1-1, c1-1) - sum(r1-1, c2) - sum(r2, c1-1); } void inc(int r, int c, int d) { for (; r < n; r |= r+1) for (int i = c; i < m; i |= i+1) t[r][i] += d; } }; Fenwick ft; int nextPower2(int n) { n--; n |= n >> 1; n |= n >> 2; n |= n >> 4; n |= n >> 8; n |= n >> 16; return 1+n; } struct SegmentTree { struct node { int cnt = 1; int min = 0; int lz = 0; }; int n; vector<node> t; SegmentTree()= default; void init(int n) { this->n = n; t.assign(this->n*4, {}); build(1, 0, n-1); } void build(int v, int tl, int tr) { if (tl == tr) return void(t[v] = node{.cnt=1, .min=0}); int mid = (tl+tr) / 2; build(v*2, tl, mid); build(v*2+1, mid+1, tr); t[v] = merge(t[v*2], t[v*2+1]); } void apply(int v, int x) { t[v].lz += x; t[v].min += x; } void push(int v) { if (t[v].lz) { apply(v*2, t[v].lz); apply(v*2+1, t[v].lz); t[v].lz = 0; } } node merge(const node& a, const node&b) { node res{.min = min(a.min, b.min)}; if (a.min == b.min) res.cnt = a.cnt + b.cnt; else if (a.min< b.min) res.cnt = a.cnt; else res.cnt = b.cnt; return res; } void update(int l, int r, int x, int v, int tl, int tr) { if (tl > tr) return; if (r < tl || tr < l) return; if (l <= tl && tr <= r) { apply(v, x); return; } push(v); int mid = (tl+tr) / 2; update(l, r, x, v*2, tl, mid); update(l, r, x, v*2+1, mid+1, tr); t[v] = merge(t[v*2], t[v*2+1]); } void update(int l, int r, int x) { update(l, r, x, 1, 0, n-1); } int query() { return t[1].cnt; } node query(int l, int r, int v, int tl, int tr) { if (r < tl || tr < l) return {.cnt=0, .min=int(1e9)}; if (l <= tl && tr <= r) return t[v]; push(v); int mid = (tl+tr) / 2; return merge(query(l, r, v*2, tl, mid), query(l, r, v*2+1, mid+1, tr)); } node query(int l, int r) { return query(l, r, 1, 0, n-1); } }; SegmentTree pot; vector<int> raw; int add(int i) { int cnt_1 = 0, cnt_3 = 0; int row = r[i], col = c[i]; for (int ir = 0; ir < 2; ir++) { for (int ic = 0; ic < 2; ic++) { int in = 0; for (int iir = 0; iir < 2; iir++) { for (int iic = 0; iic < 2; iic++) { int nrow = row - ir + iir; int ncol = col - ic + iic; if (clamp(nrow,0, h-1) == nrow && clamp(ncol, 0, w-1) == ncol) if (arr[nrow][ncol] < i) in++; } } if (in == 0) cnt_1++; if (in == 1) cnt_1--; if (in == 2) cnt_3++; if (in == 3) cnt_3--; } } return cnt_1 + cnt_3; }; void give_initial_chart(int H, int W, std::vector<int> R, std::vector<int> C) { h = H; w = W; r = R; c = C; arr = vector(H, vector<int>(W, 0)); ft = Fenwick(H, W); for (int i = 0; i < H * W; i++) { arr[r[i]][c[i]] = i; ft.inc(r[i], c[i], i); } raw.assign(w, 0); pot.init(w); for (int i = 0; i < w; i++) { int x = add(i); pot.update(i, w-1, x - raw[i]); raw[i] = x; } #ifdef ONPC for (int i = 0; i < H; i++) for (int j = 0; j < W; j++) cout << arr[i][j] << " \n"[j == W-1]; #endif } int swap_seats(int a, int b) { ft.inc(r[a], c[a], -a +b); ft.inc(r[b], c[b], -b +a); swap(arr[r[a]][c[a]], arr[r[b]][c[b]]); swap(r[a], r[b]); swap(c[a], c[b]); auto update = [&](int i, int j) { if (clamp(i, 0,h-1) != i || clamp(j, 0, w-1) != j)return; int num = arr[i][j]; int x = add(num); pot.update(num, w - 1, x - raw[i]); raw[i] = x; }; for (int di = -1; di <= 1; di++) { for (int dj = -1; dj <= 1; dj++) { update(r[a] + di, c[a] + dj); update(r[b] + di, c[b] + dj); } } assert(h == 1); int ans = pot.query(); return ans; }
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