这棵树有多高

运行下面这段程序：

#include <iostream>
#include <queue>
#include <string>
#include <vector>
using namespace std;

struct TNode {
    string name;
    TNode* left = nullptr;
    TNode* right = nullptr;
};

TNode* build() {
    TNode* root = new TNode{"总部"};
    root->left = new TNode{"华北"};
    root->right = new TNode{"华南"};
    root->left->left = new TNode{"北京"};
    root->left->right = new TNode{"天津"};
    root->right->right = new TNode{"广州"};
    return root;
}

int height(TNode* node) {
    if (node == nullptr) return 0;
    int a = height(node->left);
    int b = height(node->right);
    return 1 + (a > b ? a : b);
}

int main() {
    cout << height(build()) << endl;
}

（本题用 g++ -std=c++17 -O0 编译。）