From ab16224b192fdbd005cb231c83d2ed816715f82a Mon Sep 17 00:00:00 2001
From: Ta180m
Date: Wed, 16 Oct 2019 20:00:06 -0500
Subject: Create btree.cpp

---
 2012/November/Gold/btree.cpp | 80 ++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 80 insertions(+)
 create mode 100644 2012/November/Gold/btree.cpp

diff --git a/2012/November/Gold/btree.cpp b/2012/November/Gold/btree.cpp
new file mode 100644
index 0000000..16462ab
--- /dev/null
+++ b/2012/November/Gold/btree.cpp
@@ -0,0 +1,80 @@
+#include <algorithm>
+#include <iostream>
+#include <fstream>
+#include <string>
+#include <vector>
+#include <queue>
+#include <set>
+#include <map>
+#include <unordered_set>
+#include <unordered_map>
+#include <cmath>
+#include <cstring>
+#define init_io(pname) ifstream cin((string)pname+".in"); ofstream cout((string)pname+".out"); ios_base::sync_with_stdio(false); cin.tie(NULL)
+#define FOR(i, a, b, in) for (int i = (a); i < (b); i += in)
+#define REP(i, a, b) for (int i = (a); i < (b); i++)
+#define RFOR(i, a, b, in) for (int i = (a) - 1; i >= (b); i -= in)
+#define RREP(i, a, b) for (int i = (a) - 1; i >= (b); i--)
+#define trav(a, x) for (auto& a : x)
+#define mp make_pair
+#define pb push_back
+#define f first
+#define s second
+#define lb lower_bound
+#define ub upper_bound
+#define sz(x) (int)x.size()
+#define all(x) begin(x), end(x)
+#define rsz resize
+#define mem(a, b) memset(a, (b), sizeof(a))
+using namespace std;
+typedef string str;
+typedef long long ll;
+typedef long double ld;
+typedef pair<int, int> ii; typedef pair<ll, ll> pl; typedef pair<ld, ld> pd;
+typedef vector<int> vi; typedef vector<ll> vl; typedef vector<ld> vd;
+typedef vector<ii> vii; typedef vector<pl> vpl; typedef vector<pd> vpd;
+constexpr auto INF = (int)1e9;
+constexpr auto LINF = (ll)1e18;
+
+int L[40005];
+vi G[40005];
+map<int, int> A[40005];
+map<int, int, greater<int>> B[40005];
+
+int dfs(int u, int d) {
+	int ret = 0;
+	L[u] == 1 ? A[u][d] = 1 : B[u][d] = 1;
+	for (auto& v : G[u]) {
+		ret = max(dfs(v, L[v] + d), ret);
+		for (auto& x : A[v]) {
+			if (B[u].find(2 * d - L[u] - x.first) != B[u].end()) { // Match left side with corresponding right side
+				ret = max(max(x.second, B[u][2 * d - L[u] - x.first]), ret);
+			}
+		}
+		for (auto& x : B[v]) {
+			if (A[u].find(2 * d - L[u] - x.first) != A[u].end()) { // Match right side with corresponding left side
+				ret = max(max(x.second, A[u][2 * d - L[u] - x.first]), ret);
+			}
+		}
+		for (auto& x : A[v]) A[u][x.first] = max(max(x.first - d, x.second), A[u][x.first]); // Merge A[v] to A[u], adjust max nesting depth accordingly
+		for (auto& x : B[v]) B[u][x.first] = max(max(d - x.first, x.second), B[u][x.first]); // Merge B[v] to B[u], adjust max nesting depth accordingly
+		A[v].clear(), B[v].clear();
+	}
+	while (!A[u].empty() && A[u].begin()->first < d) A[u].erase(A[u].begin());
+	while (!B[u].empty() && B[u].begin()->first > d) B[u].erase(B[u].begin());
+	return ret;
+}
+
+int main() {
+	init_io("btree");
+	int N; cin >> N;
+	for (int i = 1; i < N; i++) {
+		int p; cin >> p;
+		G[--p].push_back(i);
+	}
+	for (int i = 0; i < N; i++) {
+		char c; cin >> c;
+		L[i] = (c == '(' ? 1 : -1);
+	}
+	cout << dfs(0, L[0]);
+}
-- 
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