Mapoos

Look-and-say SequenceLook-and-say sequence is a sequence of integers as the following:D, D1, D111, D113, D11231, D112213111, … where D is in [0, 9] except 1. The (n+1)st number is a kind of descr...

Travel PlanA traveler’s map gives the distances between cities along the highways, together with the cost of each highway. Now you are supposed to write a program to help a traveler to decide the sh...

MooncakeMooncake is a Chinese bakery product traditionally eaten during the Mid-Autumn Festival. Many types of fillings and crusts can be found in traditional mooncakes according to the region’s cul...

MedianGiven an increasing sequence S of N integers, the median is the number at the middle position. For example, the median of S1={11, 12, 13, 14} is 12, and the median of S2={9, 10, 15, 16, 17} is...

Hello World for UGiven any string of N (>=5) characters, you are asked to form the characters into the shape of U. For example, “helloworld” can be printed as:h　d e　 l l 　 r lowo That is, t...

EmergencyAs an emergency rescue team leader of a city, you are given a special map of your country. The map shows several scattered cities connected by some roads. Amount of rescue teams in each cit...

List SortingExcel can sort records according to any column. Now you are supposed to imitate this function.InputEach input file contains one test case. For each case, the first line contains two ...

Linked List SortingA linked list consists of a series of structures, which are not necessarily adjacent in memory. We assume that each structure contains an integer key and a Next pointer to the nex...

Speech PatternsPeople often have a preference among synonyms of the same word. For example, some may prefer “the police”, while others may prefer “the cops”. Analyzing such patterns can help to narr...

Are They EqualIf a machine can save only 3 significant digits, the float numbers 12300 and 12358.9 are considered equal since they are both saved as 0.123*105 with simple chopping. Now given the num...

Counting LeavesA family hierarchy is usually presented by a pedigree tree. Your job is to count those family members who have no child.InputEach input file contains one test case. Each case star...

Tree TraversalsSuppose that all the keys in a binary tree are distinct positive integers. Given the postorder and inorder traversal sequences, you are supposed to output the level order traversal se...

Mars NumbersPeople on Mars count their numbers with base 13:Zero on Earth is called “tret” on Mars.The numbers 1 to 12 on Earch is called “jan, feb, mar, apr, may, jun, jly, aug, sep, oct, nov, ...

PAT Ranking of InstitutionsAfter each PAT, the PAT Center will announce the ranking of institutions based on their students’ performances. Now you are asked to generate the ranklist.Input Specific...

Lowest Common AncestorThe lowest common ancestor (LCA) of two nodes U and V in a tree is the deepest node that has both U and V as descendants.A binary search tree (BST) is recursively defined as ...

Maximal CliqueA clique is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are adjacent. A maximal clique is a clique that cannot be extended by includ...

Deepest RootA graph which is connected and acyclic can be considered a tree. The height of the tree depends on the selected root. Now you are supposed to find the root that results in a highest tree...

Tree Traversals AgainAn inorder binary tree traversal can be implemented in a non-recursive way with a stack. For example, suppose that when a 6-node binary tree (with the keys numbered from 1 to 6)...

Build A Binary Search TreeA Binary Search Tree (BST) is recursively defined as a binary tree which has the following properties:The left subtree of a node contains only nodes with keys less than ...

Is It a Binary Search TreeA Binary Search Tree (BST) is recursively defined as a binary tree which has the following properties:The left subtree of a node contains only nodes with keys less than ...

Path of Equal WeightGiven a non-empty tree with root R, and with weight Wi assigned to each tree node Ti. The weight of a path from R to L is defined to be the sum of the weights of all the nodes al...

Spell It RightGiven a non-negative integer N, your task is to compute the sum of all the digits of N, and output every digit of the sum in English.Input Specification:Each input file contains on...

HashingThe task of this problem is simple: insert a sequence of distinct positive integers into a hash table, and output the positions of the input numbers. The hash function is defined to be “H(key...

Forwards on WeiboWeibo is known as the Chinese version of Twitter. One user on Weibo may have many followers, and may follow many other users as well. Hence a social network is formed with followers...

Head of a GangOne way that the police finds the head of a gang is to check people’s phone calls. If there is a phone call between A and B, we say that A and B is related. The weight of a relation is...

Public Bike ManagementThere is a public bike service in Hangzhou City which provides great convenience to the tourists from all over the world. One may rent a bike at any station and return it to an...

Reversible PrimesA reversible prime in any number system is a prime whose “reverse” in that number system is also a prime. For example in the decimal system 73 is a reversible prime because its reve...

Pop SequenceGiven a stack which can keep M numbers at most. Push N numbers in the order of 1, 2, 3, …, N and pop randomly. You are supposed to tell if a given sequence of numbers is a possible pop s...

Root of AVL TreeAn AVL tree is a self-balancing binary search tree. In an AVL tree, the heights of the two child subtrees of any node differ by at most one; if at any time they differ by more than o...

String SubtractionGiven two strings S1 and S2, S = S1 - S2 is defined to be the remaining string after taking all the characters in S2 from S1. Your task is simply to calculate S1 - S2 for any given...

ElevatorThe highest building in our city has only one elevator. A request list is made up with N positive numbers. The numbers denote at which floors the elevator will stop, in specified order. It c...

Find CoinsEva loves to collect coins from all over the universe, including some other planets like Mars. One day she visited a universal shopping mall which could accept all kinds of coins as paymen...

Count PAT’sThe string APPAPT contains two PAT’s as substrings. The first one is formed by the 2nd, the 4th, and the 6th characters, and the second one is formed by the 3rd, the 4th, and the 6th char...

Course List for StudentZhejiang University has 40000 students and provides 2500 courses. Now given the student name lists of all the courses, you are supposed to output the registered course list fo...

Complete Binary Search TreeA Binary Search Tree (BST) is recursively defined as a binary tree which has the following properties: * The left subtree of a node contains only nodes with keys less tha...

Prime FactorsGiven any positive integer N, you are supposed to find all of its prime factors, and write them in the format N = p1^k1 * p2^k2 *…*pm^km.Input Specification:Each input file contains...

RadixGiven a pair of positive integers, for example, 6 and 110, can this equation 6 = 110 be true? The answer is “yes”, if 6 is a decimal number and 110 is a binary number.Now for any pair of posi...

SharingTo store English words, one method is to use linked lists and store a word letter by letter. To save some space, we may let the words share the same sublist if they share the same suffix. For...

Set SimilarityGiven two sets of integers, the similarity of the sets is defined to be Nc/Nt*100%, where Nc is the number of distinct common numbers shared by the two sets, and Nt is the total number...

Product of Polynomialshis time, you are supposed to find A*B where A and B are two polynomials.Input Specification:#Each input file contains one test case. Each case occupies 2 lines, and each l...