/**
 * File: backtrack_find_constrained_paths.java
 * Created Time: 2023-04-16
 * Author: Krahets (krahets@163.com)
 */

import include.*;
import java.util.*;

public class backtrack_find_constrained_paths {
    /* 判断当前状态是否为解 */
    static boolean isSolution(List<TreeNode> state) {
        return !state.isEmpty() && state.get(state.size() - 1).val == 7;
    }

    /* 记录解 */
    static void recordSolution(List<TreeNode> state, List<List<TreeNode>> res) {
        res.add(new ArrayList<>(state));
    }

    /* 判断在当前状态下，该选择是否合法 */
    static boolean isValid(List<TreeNode> state, TreeNode choice) {
        return choice != null && choice.val != 3;
    }

    /* 更新状态 */
    static void makeChoice(List<TreeNode> state, TreeNode choice) {
        state.add(choice);
    }

    /* 恢复状态 */
    static void undoChoice(List<TreeNode> state, TreeNode choice) {
        state.remove(state.size() - 1);
    }

    /* 回溯算法 */
    static void backtrack(List<TreeNode> state, List<TreeNode> choices, List<List<TreeNode>> res) {
        // 检查是否为解
        if (isSolution(state)) {
            // 记录解
            recordSolution(state, res);
            return;
        }
        // 遍历所有选择
        for (TreeNode choice : choices) {
            // 剪枝：检查选择是否合法
            if (isValid(state, choice)) {
                // 尝试：做出选择，更新状态
                makeChoice(state, choice);
                backtrack(state, Arrays.asList(choice.left, choice.right), res);
                // 回退：撤销选择，恢复到之前的状态
                undoChoice(state, choice);
            }
        }
    }

    public static void main(String[] args) {
        TreeNode root = TreeNode.listToTree(Arrays.asList(1, 7, 3, 4, 5, 6, 7));
        System.out.println("\n初始化二叉树");
        PrintUtil.printTree(root);

        // 回溯算法
        List<List<TreeNode>> res = new ArrayList<>();
        backtrack(new ArrayList<>(), Arrays.asList(root), res);

        System.out.println("\n输出所有根节点到节点 7 的路径，要求路径中不包含值为 3 的节点");
        for (List<TreeNode> path : res) {
            List<Integer> vals = new ArrayList<>();
            for (TreeNode node : path) {
                vals.add(node.val);
            }
            System.out.println(vals);
        }
    }
}