Submission #482222

#TimeUsernameProblemLanguageResultExecution timeMemory
482222SirCovidThe19thCats or Dogs (JOI18_catdog)C++17
0 / 100
4 ms5708 KiB
#include <bits/stdc++.h> #include "catdog.h" using namespace std; #define FOR(i, x, y) for (int i = x; i < y; i++) #define mat array<array<int, 2>, 2> const int mx = 1e5 + 5; int state[mx], par[mx], sz[mx], dep[mx], root[mx], id[mx], psz[mx]; vector<int> adj[mx]; struct segTree{ int sz = 1; vector<mat> seg; void init(int sz_){ while (sz < sz_) sz *= 2; seg.resize(sz * 2, {}); FOR(i, sz, sz * 2) seg[i][0][1] = seg[i][1][0] = 1e9; } void comb(mat &cur, mat A, mat B){ FOR(i, 0, 2) FOR(j, 0, 2) cur[i][j] = 1e9; FOR(i, 0, 2) FOR(j, 0, 2) FOR(k, 0, 2) FOR(l, 0, 2) cur[i][j] = min(cur[i][j], B[i][k] + A[l][j] + (k != l)); } void apply(int i, int dt0, int dt1){ i += sz; seg[i][0][0] += dt0; seg[i][1][1] += dt1; while (i /= 2) comb(seg[i], seg[i * 2], seg[i * 2 + 1]); } void getBestTop(int &A, int &B){ int top0 = min(seg[1][0][0], seg[1][0][1]); int top1 = min(seg[1][1][0], seg[1][1][1]); A = min(top0, top1 + 1); B = min(top0 + 1, top1); } }trees[mx]; void dfsSZ(int u){ sz[u] = 1; for (int &v : adj[u]) if (v != par[u]){ par[v] = u; dep[v] = dep[u] + 1; dfsSZ(v); sz[u] += sz[v]; if (sz[v] > sz[adj[u][0]]) swap(v, adj[u][0]); } } void dfsHLD(int u){ id[u] = psz[root[u]]++; for (int v : adj[u]) if (v != par[u]){ root[v] = (v == adj[u][0] ? root[u] : v); dfsHLD(v); } } int updSolve(int u, int col, int dt0, int dt1){ state[u] = col; while (u){ int b0, b1, n0, n1, R = root[u]; trees[R].getBestTop(b0, b1); trees[R].apply(id[u], dt0, dt1); trees[R].getBestTop(n0, n1); dt0 = n0 - b0; dt1 = n1 - b1; u = par[R]; } int ret0, ret1; trees[1].getBestTop(ret0, ret1); return min(ret0, ret1); } void initialize(int n, vector<int> A, vector<int> B){ FOR(i, 0, n - 1){ adj[A[i]].push_back(B[i]); adj[B[i]].push_back(A[i]); } root[1] = id[1] = 1; dfsSZ(1); dfsHLD(1); FOR(i, 1, n + 1){ trees[i].init(psz[i]); id[i] = psz[root[i]] - id[i] - 1; } } int cat(int i){ return updSolve(i, 0, 0, mx); } int dog(int i){ return updSolve(i, 1, mx, 0); } int neighbor(int i){ return !state[i] ? updSolve(i, 0, 0, -mx) : updSolve(i, 1, -mx, 0); }
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