Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 14.2, Problem 1E
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To describe the dynamic set queries MINIMUM, MAXIMUM, SUCCESSOR and PREDECESSOR by adding the pointers to the nodes in
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- Given a world map in the form of a Generic M-ary Tree consisting of N nodes and an array of queries[], the task is to implement the functions Lock, Unlock and Upgrade for the given tree. For each query in queries[], the functions return true when the operation is performed successfully, otherwise, it returns false. The functions are defined as: X: Name of the node in the tree and will be uniqueuid: User Id for the person who accesses node X 1. Lock(X, uid): Lock takes exclusive access to the subtree rooted.- Once Lock(X, uid) succeeds, then lock(A, any user) should fail, where A is a descendant of X.- Lock(B. any user) should fail where X is a descendant of B.- Lock operation cannot be performed on a node that is already locked. 2. Unlock(X, uid): To unlock the locked node.- The unlock reverts what was done by the Lock operation.- It can only be called on same and unlocked by same uid. 3. UpgradeLock(X, uid): The user uid can upgrade their lock to an ancestor node.- It is only possible…arrow_forwardGiven a world map in the form of a Generic M-ary Tree consisting of N nodes and an array of queries[], the task is to implement the functions Lock, Unlock and Upgrade for the given tree. For each query in queries[], the functions return true when the operation is performed successfully, otherwise, it returns false. The functions are defined as: X: Name of the node in the tree and will be uniqueuid: User Id for the person who accesses node X 1. Lock(X, uid): Lock takes exclusive access to the subtree rooted.- Once Lock(X, uid) succeeds, then lock(A, any user) should fail, where A is a descendant of X.- Lock(B. any user) should fail where X is a descendant of B.- Lock operation cannot be performed on a node that is already locked. 2. Unlock(X, uid): To unlock the locked node.- The unlock reverts what was done by the Lock operation.- It can only be called on same and unlocked by same uid. 3. UpgradeLock(X, uid): The user uid can upgrade their lock to an ancestor node.- It is only possible…arrow_forwardGiven a world map in the form of a Generic M-ary Tree consisting of N nodes and an array of queries[], the task is to implement the functions Lock, Unlock and Upgrade for the given tree. For each query in queries[], the functions return true when the operation is performed successfully, otherwise, it returns false. The functions are defined as: X: Name of the node in the tree and will be uniqueuid: User Id for the person who accesses node X 1. Lock(X, uid): Lock takes exclusive access to the subtree rooted.- Once Lock(X, uid) succeeds, then lock(A, any user) should fail, where A is a descendant of X.- Lock(B. any user) should fail where X is a descendant of B.- Lock operation cannot be performed on a node that is already locked. 2. Unlock(X, uid): To unlock the locked node.- The unlock reverts what was done by the Lock operation.- It can only be called on same and unlocked by same uid. 3. UpgradeLock(X, uid): The user uid can upgrade their lock to an ancestor node.- It is only possible…arrow_forward
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