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121 changes: 121 additions & 0 deletions cpp/102_Binary_Tree_Level_Order_Traversal.cpp
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// 102. Binary Tree Level Order Traversal
/**
* Given a binary tree, return the level order traversal of its nodes' values. (ie, from left to right, level by level).
*
* For example:
* Given binary tree [3,9,20,null,null,15,7],
* 3
* / \
* 9 20
* / \
* 15 7
* return its level order traversal as:
* [
* [3],
* [9,20],
* [15,7]
* ]
*
* Tags: Tree, Breadth-first Search
*
* Similar Problems: (M) Binary Tree Zigzag Level Order Traversal, (E) Binary Tree Level Order Traversal II,
* (E) Minimum Depth of Binary Tree, (M) Binary Tree Vertical Order Traversal
*
* Author: Kuang Qin
*/

#include <iostream>
#include <vector>
#include <queue>

using namespace std;

/**
* Definition for a binary tree node.
*/
struct TreeNode {
int val;
TreeNode *left;
TreeNode *right;
TreeNode(int x) : val(x), left(NULL), right(NULL) {}
TreeNode(int x, TreeNode* l, TreeNode* r) : val(x), left(l), right(r) {}
};

// bfs solution
// time: O(n), space: O(n) - queue
class Solution {
public:
vector<vector<int>> levelOrder(TreeNode* root) {
vector<vector<int>> nodes;
if (root == NULL) {
return nodes;
}

queue<TreeNode*> q;
q.push(root);
while (!q.empty()) {
int levelCount = q.size();
vector<int> level;

while (levelCount--) { // output current level
TreeNode *curr = q.front();
level.push_back(curr->val);
if (curr->left != NULL) {
q.push(curr->left);
}

if (curr->right != NULL) {
q.push(curr->right);
}

q.pop();
}

nodes.push_back(level);
}

return nodes;
}
};

// dfs solution
// time: O(n), space: O(n) - call stack
class Solution_DFS {
void dfs(TreeNode* root, int depth, vector<vector<int>>& nodes) {
if (root == NULL) {
return;
}

// create a new vector for a new level
if (depth >= nodes.size()) {
vector<int> level;
nodes.push_back(level);
}

nodes[depth].push_back(root->val);
dfs(root->left, depth + 1, nodes);
dfs(root->right, depth + 1, nodes);
return;
}
public:
vector<vector<int>> levelOrder(TreeNode* root) {
vector<vector<int>> nodes;
dfs(root, 0, nodes);
return nodes;
}
};

int main() {
TreeNode node5(7), node4(15), node3(20, &node4, &node5), node2(9), node1(3, &node2, &node3);
Solution sol;
vector<vector<int>> res = sol.levelOrder(&node1);
for (int i = 0; i < res.size(); i++) {
for (int j = 0; j < res[i].size(); j++) {
cout << res[i][j] << " ";
}
cout << endl;
}

cin.get();
return 0;
}