Submission #298586

#TimeUsernameProblemLanguageResultExecution timeMemory
298586thecodingwizardCats or Dogs (JOI18_catdog)C++11
100 / 100
258 ms30196 KiB
#include <bits/stdc++.h> #include "catdog.h" using namespace std; #define vi vector<int> #define pb push_back #define maxn 100000 int n; vi adj[maxn], rpos; int par[maxn], root[maxn], depth[maxn], sz[maxn], ti; int hlLen[maxn]; int hlPos[maxn]; int pos[maxn]; int state[maxn+1]; struct node { int catcat, catdog = maxn, dogcat = maxn, dogdog; }; struct SegTree { int catcat, catdog, dogcat, dogdog; vector<node> nodes; int n; void init(int sz) { n = sz; nodes.resize(4*sz); } void upd(int p, int i, int j, int u, int cc, int cd, int dc, int dd) { if (i > u || j < u) return; if (i == j && i == u) { nodes[p].catcat += cc; nodes[p].catdog += cd; nodes[p].dogcat += dc; nodes[p].dogdog += dd; return; } upd(p*2, i, (i+j)/2, u, cc, cd, dc, dd); upd(p*2+1, (i+j)/2+1, j, u, cc, cd, dc, dd); nodes[p].catcat = min(min(nodes[p*2].catcat, nodes[p*2].catdog+1) + nodes[p*2+1].catcat, min(nodes[p*2].catcat+1, nodes[p*2].catdog) + nodes[p*2+1].dogcat); nodes[p].catdog = min(min(nodes[p*2].catcat, nodes[p*2].catdog+1) + nodes[p*2+1].catdog, min(nodes[p*2].catcat+1, nodes[p*2].catdog) + nodes[p*2+1].dogdog); nodes[p].dogdog = min(min(nodes[p*2].dogcat, nodes[p*2].dogdog+1) + nodes[p*2+1].catdog, min(nodes[p*2].dogcat+1, nodes[p*2].dogdog) + nodes[p*2+1].dogdog); nodes[p].dogcat = min(min(nodes[p*2].dogcat, nodes[p*2].dogdog+1) + nodes[p*2+1].catcat, min(nodes[p*2].dogcat+1, nodes[p*2].dogdog) + nodes[p*2+1].dogcat); } void upd(int u, int cc, int cd, int dc, int dd) { upd(1, 0, n-1, u, cc, cd, dc, dd); catcat = nodes[1].catcat; catdog = nodes[1].catdog; dogcat = nodes[1].dogcat; dogdog = nodes[1].dogdog; } }; SegTree st[maxn]; void dfsSz(int x) { sz[x] = 1; for (int &v : adj[x]) { par[v] = x; depth[v] = depth[x] + 1; adj[v].erase(find(adj[v].begin(), adj[v].end(), x)); dfsSz(v); sz[x] += sz[v]; if (sz[v] > sz[adj[x][0]]) swap(v, adj[x][0]); } } void dfsHld(int x) { hlPos[x] = hlLen[root[x]]++; pos[x] = ti++; rpos.pb(x); for (int v : adj[x]) { root[v] = (v == adj[x][0] ? root[x] : v); dfsHld(v); } } void process(int x, int catcat, int catdog, int dogcat, int dogdog) { for (; ; x = par[root[x]]) { int prevcatcat = min(st[root[x]].catcat, min(st[root[x]].catdog, min(st[root[x]].dogcat+1, st[root[x]].dogdog+1))); int prevdogdog = min(st[root[x]].catcat+1, min(st[root[x]].catdog+1, min(st[root[x]].dogcat, st[root[x]].dogdog))); st[root[x]].upd(hlPos[x], catcat, catdog, dogcat, dogdog); catcat = min(st[root[x]].catcat, min(st[root[x]].catdog, min(st[root[x]].dogcat+1, st[root[x]].dogdog+1))); dogdog = min(st[root[x]].catcat+1, min(st[root[x]].catdog+1, min(st[root[x]].dogcat, st[root[x]].dogdog))); catcat -= prevcatcat; dogdog -= prevdogdog; if (root[x] == 0) return; } } void initialize(int N, vi A, vi B) { n = N; for (int i = 0; i < n-1; i++) { adj[A[i]-1].pb(B[i]-1); adj[B[i]-1].pb(A[i]-1); } par[0] = depth[0] = ti = 0; dfsSz(0); root[0] = 0; dfsHld(0); for (int i = 0; i < n; i++) { if (root[i] == i) { st[i].init(hlLen[i]); } } } int cat(int v) { state[v] = 1; process(v-1, 0, 0, 0, maxn); return min(st[0].catcat, min(st[0].catdog, min(st[0].dogdog, st[0].dogcat))); } int dog(int v) { state[v] = 2; process(v-1, maxn, 0, 0, 0); return min(st[0].catcat, min(st[0].catdog, min(st[0].dogdog, st[0].dogcat))); } int neighbor(int v) { process(v-1, state[v] == 2 ? -maxn : 0, 0, 0, state[v] == 1 ? -maxn : 0); state[v] = 0; return min(st[0].catcat, min(st[0].catdog, min(st[0].dogdog, st[0].dogcat))); }
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