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Solution.java
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import java.util.*;
import java.util.ArrayList;
import java.util.Scanner;
enum Color {
RED, GREEN
}
abstract class Tree {
private int value;
private Color color;
private int depth;
public Tree(int value, Color color, int depth) {
this.value = value;
this.color = color;
this.depth = depth;
}
public int getValue() {
return value;
}
public Color getColor() {
return color;
}
public int getDepth() {
return depth;
}
public abstract void accept(TreeVis visitor);
}
class TreeNode extends Tree {
private ArrayList<Tree> children = new ArrayList<>();
public TreeNode(int value, Color color, int depth) {
super(value, color, depth);
}
public void accept(TreeVis visitor) {
visitor.visitNode(this);
for (Tree child : children) {
child.accept(visitor);
}
}
public void addChild(Tree child) {
children.add(child);
}
}
class TreeLeaf extends Tree {
public TreeLeaf(int value, Color color, int depth) {
super(value, color, depth);
}
public void accept(TreeVis visitor) {
visitor.visitLeaf(this);
}
}
abstract class TreeVis {
public abstract int getLeavesSum();
public abstract void visitNode(TreeNode node);
public abstract void visitLeaf(TreeLeaf leaf);
}
class SumInLeavesVisitor extends TreeVis {
private int leavesSum = 0;
public int getLeavesSum() {
return leavesSum;
}
public void visitNode(TreeNode node) {
//do nothing
}
public void visitLeaf(TreeLeaf leaf) {
leavesSum += leaf.getValue();
}
}
class ProductOfRedNodesVisitor extends TreeVis {
private long redNodesProduct = 1;
private final int M = 1000000007; //10^9 + 7
public int getLeavesSum() {
return (int) redNodesProduct;
}
public void visitNode(TreeNode node) {
if (node.getColor() == Color.RED) {
redNodesProduct = (redNodesProduct * node.getValue()) % M;
}
}
public void visitLeaf(TreeLeaf leaf) {
if (leaf.getColor() == Color.RED) {
redNodesProduct = (redNodesProduct * leaf.getValue()) % M;
}
}
}
class FancyVisitor extends TreeVis {
private int nonLeafEvenDepthSum = 0;
private int greenLeavesSum = 0;
public int getLeavesSum() {
return Math.abs(nonLeafEvenDepthSum - greenLeavesSum);
}
public void visitNode(TreeNode node) {
if (node.getDepth() % 2 == 0) {
nonLeafEvenDepthSum += node.getValue();
}
}
public void visitLeaf(TreeLeaf leaf) {
if (leaf.getColor() == Color.GREEN) {
greenLeavesSum += leaf.getValue();
}
}
}
public class Solution {
private static int[] values;
private static Color[] colors;
private static HashMap<Integer, HashSet<Integer>> nodesMap;
public static Tree solve() {
Scanner sc = new Scanner(System.in);
int numNodes = sc.nextInt();
values = new int[numNodes];
for (int i = 0; i < numNodes; i++) {
values[i] = sc.nextInt();
}
colors = new Color[numNodes];
for (int i = 0; i < numNodes; i++) {
colors[i] = sc.nextInt() == 0 ? Color.RED : Color.GREEN;
}
nodesMap = new HashMap<>(numNodes);
for (int i = 0; i < numNodes - 1; i++) {
int u = sc.nextInt();
int v = sc.nextInt();
HashSet<Integer> uEdges = nodesMap.get(u);
if (uEdges == null) {
uEdges = new HashSet<>();
}
uEdges.add(v);
nodesMap.put(u, uEdges);
HashSet<Integer> vEdges = nodesMap.get(v);
if (vEdges == null) {
vEdges = new HashSet<>();
}
vEdges.add(u);
nodesMap.put(v, vEdges);
}
sc.close();
if (numNodes == 1) {
return new TreeLeaf(values[0], colors[0], 0);
}
TreeNode root = new TreeNode(values[0], colors[0], 0);
addChild(root, 1);
return root;
}
private static void addChild(TreeNode parent, Integer parentId) {
for (Integer treeNum : nodesMap.get(parentId)) {
nodesMap.get(treeNum).remove(parentId);
HashSet<Integer> edges = nodesMap.get(treeNum);
Tree tree;
if (edges != null && !edges.isEmpty()) {
tree = new TreeNode(values[treeNum - 1], colors[treeNum - 1], parent.getDepth() + 1);
} else {
tree = new TreeLeaf(values[treeNum - 1], colors[treeNum - 1], parent.getDepth() + 1);
}
parent.addChild(tree);
if (tree instanceof TreeNode) {
addChild((TreeNode) tree, treeNum);
}
}
}
public static void main(String[] args) {
Tree root = solve();
SumInLeavesVisitor vis1 = new SumInLeavesVisitor();
ProductOfRedNodesVisitor vis2 = new ProductOfRedNodesVisitor();
FancyVisitor vis3 = new FancyVisitor();
root.accept(vis1);
root.accept(vis2);
root.accept(vis3);
int res1 = vis1.getLeavesSum();
int res2 = vis2.getLeavesSum();
int res3 = vis3.getLeavesSum();
System.out.println(res1);
System.out.println(res2);
System.out.println(res3);
}
}