随笔分类 - PAT 甲级
摘要：This time your job is to fill a sequence of N positive integers into a spiral matrix in non-increasing order. A spiral matrix is filled in from the fi
阅读全文
摘要：Given a sequence of positive numbers, a segment is defined to be a consecutive subsequence. For example, given the sequence { 0.1, 0.2, 0.3, 0.4 }, we
阅读全文
摘要：There is a classical process named partition in the famous quick sort algorithm. In this process we typically choose one element as the pivot. Then th
阅读全文
摘要：People 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, m
阅读全文
摘要：Zhejiang University has 8 campuses and a lot of gates. From each gate we can collect the in/out times and the plate numbers of the cars crossing the g
阅读全文
摘要：The 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
阅读全文
摘要：According to Wikipedia: Insertion sort iterates, consuming one input element each repetition, and growing a sorted output list. Each iteration, insert
阅读全文
摘要：For two rational numbers, your task is to implement the basic arithmetics, that is, to calculate their sum, difference, product and quotient. Input Sp
阅读全文
摘要：Given N rational numbers in the form numerator/denominator, you are supposed to calculate their sum. Input Specification: Each input file contains one
阅读全文
摘要：For any 4-digit integer except the ones with all the digits being the same, if we sort the digits in non-increasing order first, and then in non-decre
阅读全文
摘要：Given any positive integer N, you are supposed to find all of its prime factors, and write them in the format N = p1k1×p2k2×⋯×pm
阅读全文
摘要：Given two strings S~1~ and S~2~, S = S~1~ - S~2~ is defined to be the remaining string after taking all the characters in S~2~ from S~1~. Your task is
阅读全文
摘要：The task is simple: given any positive integer N, you are supposed to count the total number of 1's in the decimal form of the integers from 1 to N. F
阅读全文
摘要：Shopping in Mars is quite a different experience. The Mars people pay by chained diamonds. Each diamond has a value (in Mars dollars M\$). When making
阅读全文
摘要：A table tennis club has N tables available to the public. The tables are numbered from 1 to N. For any pair of players, if there are some tables open
阅读全文
摘要：Given 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 1
阅读全文
摘要：Programming Ability Test (PAT) is organized by the College of Computer Science and Technology of Zhejiang University. Each test is supposed to run sim
阅读全文
摘要：Suppose a bank has K windows open for service. There is a yellow line in front of the windows which devides the waiting area into two parts. All the c
阅读全文
摘要：Suppose a bank has N windows open for service. There is a yellow line in front of the windows which devides the waiting area into two parts. The rules
阅读全文
摘要：Stack is one of the most fundamental data structures, which is based on the principle of Last In First Out (LIFO). The basic operations include Push (
阅读全文
