* The Giving Tree of Errors 3.0 You are given a binary tree written as a sequence of parent-child pairs. You need to detect any errors which prevent the sequence from being a proper binary tree and print the highest priority error. If you detect no errors, print out the lexicographically smallest 5-expression for the tree. Input Format Input is read from standard input and has the following characteristics: • It is one line. Leading or trailing whitespace is not allowed. • Each pair is formatted as an open parenthesis (', followed by the parent, followed by a comma, followed by the child, followed by a closing parenthesis ")'. Example: (A,B) • All values are single uppercase letters. • Parent-Child pairs are separated by a single space. • The sequence of pairs is not ordered in any specific way. Input (A,B) (B,C) (A,E) (B,D) Output Output is written to standard output and must have the following characteristics: • It is one line. • It contains no whitespace. If errors are present, print out the first listed error below (e.g. if E3 and E4 are present, print E3). • If no errors are present, print the S-expression representation described below. Errors You should detect the following errors: Code Туре Invalid Input Format Duplicate Pair E1 E2 E3 Parent Has More than Two Children Multiple Roots Input Contains Cycle E4 ES S-Expression Representation If the input is a valid tree, we want you to print the lexicographically smallest S-Expression. "Lexicographically Smallest" simply means "print the children in alphabetical order." Below is a recursive definition of what we want: S-exp(node) = "({node->val}{S-exp(node->first_child)}{S-exp(node->second_child)})" if node != NULL, = ", node == NULL where, first_child->val < second_child->val (lexicographically smaller) Sample Input #01 Sample Input #00 (A, B) (A,C) (B,D) (D,C) (A, B) (B,D) (D,E) (A,C) {C,F) (E,G) Sample Output #01 ES Sample Output #00 Output #01 Explanation Node D is both a child of B and a parent of C, but Cand B are both child nodes of A. Since D tries to attach itself as parent to a node already above it in the tree, this forms cycle. (A(B(D(E(G))))(C(F))) a YOUR ANSWER

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* The Giving Tree of Errors 3.0
You are given a binary tree written as a sequence of parent-child pairs. You need to detect any errors which prevent the sequence from being a proper binary tree and print the highest
priority error. If you detect no errors, print out the lexicographically smallest 5-expression for the tree.
Input Format
Input is read from standard input and has the following characteristics:
• It is one line.
Leading or trailing whitespace is not allowed.
• Each pair is formatted as an open parenthesis '(", followed by the parent, followed by a comma, followed by the child, followed by a closing parenthesis ')'. Example: (A,B)
• All values are single uppercase letters.
Parent-Child pairs are separated by a single space.
• The sequence of pairs is not ordered in any specific way.
Input (A,B) (B,C) (A, E) (B,D)
A
E
Output
Output is written to standard output and must have the following characteristics:
• It is one line.
• It contains no whitespace.
• If errors are present, print out the first listed error below (e.g.if E3 and E4 are present, print E3).
• If no errors are present, print the S-expression representation described below.
Errors
You should detect the following errors:
Туре
Invalid Input Format
Code
E1
E2
Duplicate Pair
E3
Parent Has More than Two Children
Multiple Roots
Input Contains Cycle
E4
E5
S-Expression Representation
If the input is a valid tree, we want you to print the lexicographically smallest S-Expression. "Lexicographically Smallest" simply means "print the children in alphabetical order." Below is a
recursive definition of what we want:
S-exp(node) = "({node->val}{S-exp(node->first_child)}{S-exp(node->second_child)})" if node != NULL,
%3D
= "", node == NULL
where, first_child->val < second_child->val (lexicographically smaller)
Sample Input #01
Sample Input #00
(A,B) (A,C) (B,D) (D,C)
(A, B) (B,D) (D,E) (A,C) (C,F) (E,G)
Sample Output #01
E5
Sample Output #00
(A(B(D(E(G)))) (C((F)))
Output #01 Explanation
Node D is both a child of B and a parent of C, but C and B are both child nodes of A. Since D tries to attach itself as parent to a node already above it in the tree, this forms an undirected
cycle.
YOUR ANSWER
Transcribed Image Text:* The Giving Tree of Errors 3.0 You are given a binary tree written as a sequence of parent-child pairs. You need to detect any errors which prevent the sequence from being a proper binary tree and print the highest priority error. If you detect no errors, print out the lexicographically smallest 5-expression for the tree. Input Format Input is read from standard input and has the following characteristics: • It is one line. Leading or trailing whitespace is not allowed. • Each pair is formatted as an open parenthesis '(", followed by the parent, followed by a comma, followed by the child, followed by a closing parenthesis ')'. Example: (A,B) • All values are single uppercase letters. Parent-Child pairs are separated by a single space. • The sequence of pairs is not ordered in any specific way. Input (A,B) (B,C) (A, E) (B,D) A E Output Output is written to standard output and must have the following characteristics: • It is one line. • It contains no whitespace. • If errors are present, print out the first listed error below (e.g.if E3 and E4 are present, print E3). • If no errors are present, print the S-expression representation described below. Errors You should detect the following errors: Туре Invalid Input Format Code E1 E2 Duplicate Pair E3 Parent Has More than Two Children Multiple Roots Input Contains Cycle E4 E5 S-Expression Representation If the input is a valid tree, we want you to print the lexicographically smallest S-Expression. "Lexicographically Smallest" simply means "print the children in alphabetical order." Below is a recursive definition of what we want: S-exp(node) = "({node->val}{S-exp(node->first_child)}{S-exp(node->second_child)})" if node != NULL, %3D = "", node == NULL where, first_child->val < second_child->val (lexicographically smaller) Sample Input #01 Sample Input #00 (A,B) (A,C) (B,D) (D,C) (A, B) (B,D) (D,E) (A,C) (C,F) (E,G) Sample Output #01 E5 Sample Output #00 (A(B(D(E(G)))) (C((F))) Output #01 Explanation Node D is both a child of B and a parent of C, but C and B are both child nodes of A. Since D tries to attach itself as parent to a node already above it in the tree, this forms an undirected cycle. YOUR ANSWER
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