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package class07;
public class Code05_IsBinarySearchTree {
public static class TreeNode {
public int val;
public TreeNode left;
public TreeNode right;
TreeNode(int val) {
this.val = val;
}
}
public static class Info {
public boolean isBST;
public int max;
public int min;
public Info(boolean is, int ma, int mi) {
isBST = is;
max = ma;
min = mi;
}
}
// public static Info process(TreeNode x) {
// if (x == null) {
// return null;
// }
// Info leftInfo = process(x.left);
// Info rightInfo = process(x.right);
// int max = x.val;
// int min = x.val;
// if (leftInfo != null) {
// max = Math.max(leftInfo.max, max);
// min = Math.min(leftInfo.min, min);
// }
// if (rightInfo != null) {
// max = Math.max(rightInfo.max, max);
// min = Math.min(rightInfo.min, min);
// }
// boolean isBST = true;
// if (leftInfo != null && !leftInfo.isBST) {
// isBST = false;
// }
// if (rightInfo != null && !rightInfo.isBST) {
// isBST = false;
// }
// boolean leftMaxLessX = leftInfo == null ? true : (leftInfo.max < x.val);
// boolean rightMinMoreX = rightInfo == null ? true : (rightInfo.min > x.val);
// if (!(leftMaxLessX && rightMinMoreX)) {
// isBST = false;
// }
// return new Info(isBST, max, min);
// }
public static Info process(TreeNode x) {
if (x == null) {
return null;
}
Info leftInfo = process(x.left);
Info rightInfo = process(x.right);
int max = x.val;
int min = x.val;
if (leftInfo != null) {
max = Math.max(leftInfo.max, max);
min = Math.min(leftInfo.min, min);
}
if (rightInfo != null) {
max = Math.max(rightInfo.max, max);
min = Math.min(rightInfo.min, min);
}
boolean isBST = false;
boolean leftIsBst = leftInfo == null ? true : leftInfo.isBST;
boolean rightIsBst = rightInfo == null ? true : rightInfo.isBST;
boolean leftMaxLessX = leftInfo == null ? true : (leftInfo.max < x.val);
boolean rightMinMoreX = rightInfo == null ? true : (rightInfo.min > x.val);
if (leftIsBst && rightIsBst && leftMaxLessX && rightMinMoreX) {
isBST = true;
}
return new Info(isBST, max, min);
}
}