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1864. [Zjoi2006]三色二叉树
https://hydro.ac/d/bzoj/record/6322eda9bdf9bc31d160a1ca
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BZOJ/1864/1864.cpp
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94
BZOJ/1864/1864.cpp
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#include <iostream>
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#include <algorithm>
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#include <cstring>
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#include <string>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 5e5 + 5;
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int n, p = 1, f1[N][3], f2[N][3];
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std::string s;
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std::vector<int> g[N];
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void dfs1(int fa) {
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int t = s[p] - '0', u = p++;
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if (fa) g[fa].push_back(u);
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if (!t) return;
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dfs1(u);
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if (t == 2) dfs1(u);
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}
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void dfs2(int u) {
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if (g[u].empty()) {
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f1[u][0] = f2[u][0] = 1;
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f1[u][1] = f1[u][2] = f2[u][1] = f2[u][2] = 0;
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return;
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}
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for (int v : g[u]) {
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dfs2(v);
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f1[u][0] = std::max(f1[v][1], f1[v][2]) + 1;
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f1[u][1] = std::max(f1[v][0], f1[v][2]);
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f1[u][2] = std::max({f1[u][2], f1[v][0], f1[v][1]});
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f2[u][0] = std::min({f2[u][0], f2[v][1] + 1, f2[v][2] + 1});
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f2[u][1] = std::min({f2[u][1], f2[v][0], f2[v][2]});
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f2[u][2] = std::min({f2[u][2], f2[v][0], f2[v][1]});
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}
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switch (g[u].size()) {
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case 1: {
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int v = g[u][0];
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f1[u][0] = std::max(f1[v][1], f1[v][2]) + 1;
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f1[u][1] = std::max(f1[v][0], f1[v][2]);
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f1[u][2] = std::max(f1[v][0], f1[v][1]);
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f2[u][0] = std::min(f2[v][1], f2[v][2]) + 1;
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f2[u][1] = std::min(f2[v][0], f2[v][2]);
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f2[u][2] = std::min(f2[v][0], f2[v][1]);
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break;
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}
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case 2: {
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int v1 = g[u][0],
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v2 = g[u][1];
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f1[u][0] = std::max(f1[v1][1] + f1[v2][2], f1[v1][2] + f1[v2][1]) + 1;
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f1[u][1] = std::max(f1[v1][0] + f1[v2][2], f1[v1][2] + f1[v2][0]);
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f1[u][2] = std::max(f1[v1][0] + f1[v2][1], f1[v1][1] + f1[v2][0]);
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f2[u][0] = std::min(f2[v1][1] + f2[v2][2], f2[v1][2] + f2[v2][1]) + 1;
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f2[u][1] = std::min(f2[v1][0] + f2[v2][2], f2[v1][2] + f2[v2][0]);
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f2[u][2] = std::min(f2[v1][0] + f2[v2][1], f2[v1][1] + f2[v2][0]);
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break;
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}
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}
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> s;
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n = s.size();
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s = ' ' + s;
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dfs1(0);
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memset(f2, 0x3f, sizeof(f2));
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dfs2(1);
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cout << std::max({f1[1][0], f1[1][1], f1[1][2]}) << ' ' << std::min({f2[1][0], f2[1][1], f2[1][2]}) << endl;
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return 0;
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}
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