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package g1301_1400.s1361_validate_binary_tree_nodes;
// #Medium #Depth_First_Search #Breadth_First_Search #Tree #Binary_Tree #Graph #Union_Find
// #2022_03_21_Time_8_ms_(69.78%)_Space_55.4_MB_(51.49%)
import java.util.ArrayDeque;
import java.util.Deque;
public class Solution {
public boolean validateBinaryTreeNodes(int n, int[] leftChild, int[] rightChild) {
int[] inDeg = new int[n];
for (int i = 0; i < n; i++) {
if (leftChild[i] >= 0) {
inDeg[leftChild[i]] += 1;
}
if (rightChild[i] >= 0) {
inDeg[rightChild[i]] += 1;
}
}
Deque queue = new ArrayDeque<>();
for (int i = 0; i < n; i++) {
if (inDeg[i] == 0) {
if (queue.isEmpty()) {
queue.offer(i);
} else {
// Violate rule 1.
return false;
}
}
if (inDeg[i] > 1) {
// Violate rule 2.
return false;
}
}
int tpLen = 0;
while (!queue.isEmpty()) {
int curNode = queue.poll();
tpLen++;
int left = leftChild[curNode];
int right = rightChild[curNode];
if (left > -1 && --inDeg[left] == 0) {
queue.offer(left);
}
if (right > -1 && --inDeg[right] == 0) {
queue.offer(right);
}
}
return tpLen == n;
}
}
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