PAT (Advanced Level) Practice 1046 Shortest Distance (20 分) 凌宸1642 题目描述: The task is really simple: given N exits on a highway which forms a simple cycle, you are supposed to tell the shortest distance between any pair of exits. 译:你的任务很简单:给定 N 个出口,形成…

PAT (Advanced Level) Practice 1042 Shuffling Machine (20 分) 凌宸1642 题目描述: Shuffling is a procedure used to randomize a deck of playing cards. Because standard shuffling techniques are seen as weak, and in order to avoid "inside jobs" where employ…

PAT (Advanced Level) Practice 1041 Be Unique (20 分) 凌宸1642 题目描述: Being unique is so important to people on Mars that even their lottery is designed in a unique way. The rule of winning is simple: one bets on a number chosen from [1,10 4 ]. The first…

PAT (Advanced Level) Practice 1015 Reversible Primes (20 分) 凌宸1642 题目描述: A 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…

In July 2004, Google posted on a giant billboard along Highway 101 in Silicon Valley (shown in the picture below) for recruitment. The content is super-simple, a URL consisting of the first 10-digit prime found in consecutive digits of the natural co…

If you are a fan of Harry Potter, you would know the world of magic has its own currency system -- as Hagrid explained it to Harry, "Seventeen silver Sickles to a Galleon and twenty-nine Knuts to a Sickle, it's easy enough." Your job is to write…

Given any string of N (≥) 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, the characters must be printed in the original order, starting top-down from the left…

Two integers are called "friend numbers" if they share the same sum of their digits, and the sum is their "friend ID". For example, 123 and 51 are friend numbers since 1+2+3 = 5+1 = 6, and 6 is their friend ID. Given some numbers, you…

A 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 reverse 37 is also a prime. Now given any two positive integers N (&…

PAT甲级:1136 A Delayed Palindrome (20分) 题干 Look-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 description of the nth number. For ex…

PAT乙级:1094 谷歌的招聘 (20分) 题干 2004 年 7 月,谷歌在硅谷的 101 号公路边竖立了一块巨大的广告牌(如下图)用于招聘.内容超级简单,就是一个以 .com 结尾的网址,而前面的网址是一个 10 位素数,这个素数是自然常数 e 中最早出现的 10 位连续数字.能找出这个素数的人,就可以通过访问谷歌的这个网站进入招聘流程的下一步. 自然常数 e 是一个著名的超越数,前面若干位写出来是这样的:e = 2.718281828459045235360287471352662497…

PAT乙级:1053 住房空置率 (20分) 题干 在不打扰居民的前提下,统计住房空置率的一种方法是根据每户用电量的连续变化规律进行判断.判断方法如下: 在观察期内,若存在超过一半的日子用电量低于某给定的阈值 e,则该住房为"可能空置": 若观察期超过某给定阈值 D 天,且满足上一个条件,则该住房为"空置". 现给定某居民区的住户用电量数据,请你统计"可能空置"的比率和"空置"比率,即以上两种状态的住房占居民区住房总套数的百分…

PAT乙级:1069 微博转发抽奖 (20分) 题干 小明 PAT 考了满分,高兴之余决定发起微博转发抽奖活动,从转发的网友中按顺序每隔 N 个人就发出一个红包.请你编写程序帮助他确定中奖名单. 输入格式: 输入第一行给出三个正整数 M(≤ 1000).N 和 S,分别是转发的总量.小明决定的中奖间隔.以及第一位中奖者的序号(编号从 1 开始).随后 M 行,顺序给出转发微博的网友的昵称(不超过 20 个字符.不包含空格回车的非空字符串). 注意:可能有人转发多次,但不能中奖多次.所以如果处于当…

PAT乙级:1092 最好吃的月饼 (20分) 题干 月饼是久负盛名的中国传统糕点之一,自唐朝以来,已经发展出几百品种. 若想评比出一种"最好吃"的月饼,那势必在吃货界引发一场腥风血雨-- 在这里我们用数字说话,给出全国各地各种月饼的销量,要求你从中找出销量冠军,认定为最好吃的月饼. 输入格式: 输入首先给出两个正整数 N(≤1000)和 M(≤100),分别为月饼的种类数(于是默认月饼种类从 1 到 N 编号)和参与统计的城市数量. 接下来 M 行,每行给出 N 个非负整数(均不超过…

PAT乙级:1014 福尔摩斯的约会 (20分) 题干 大侦探福尔摩斯接到一张奇怪的字条:我们约会吧! 3485djDkxh4hhGE 2984akDfkkkkggEdsb s&hgsfdk d&Hyscvnm.大侦探很快就明白了,字条上奇怪的乱码实际上就是约会的时间星期四 14:04,因为前面两字符串中第 1 对相同的大写英文字母(大小写有区分)是第 4 个字母 D,代表星期四:第 2 对相同的字符是 E ,那是第 5 个英文字母,代表一天里的第 14 个钟头(于是一天的 0 点到 23…

PAT乙级:1077 互评成绩计算 (20分) 在浙大的计算机专业课中,经常有互评分组报告这个环节.一个组上台介绍自己的工作,其他组在台下为其表现评分.最后这个组的互评成绩是这样计算的:所有其他组的评分中,去掉一个最高分和一个最低分,剩下的分数取平均分记为 G1:老师给这个组的评分记为 G2.该组得分为 (G1+G2)/2,最后结果四舍五入后保留整数分.本题就要求你写个程序帮助老师计算每个组的互评成绩. 输入格式: 输入第一行给出两个正整数 N(> 3)和 M,分别是分组数和满分,均不超过 10…

1074 宇宙无敌加法器 (20 分) 地球人习惯使用十进制数,并且默认一个数字的每一位都是十进制的.而在 PAT 星人开挂的世界里,每个数字的每一位都是不同进制的,这种神奇的数字称为“PAT数”.每个 PAT 星人都必须熟记各位数字的进制表,例如“……0527”就表示最低位是 7 进制数.第 2 位是 2 进制数.第 3 位是 5 进制数.第 4 位是 10 进制数,等等.每一位的进制 d 或者是 0(表示十进制).或者是 [2,9] 区间内的整数.理论上这个进制表应该包含无穷多位数字,但从实…

1124 Raffle for Weibo Followers(20 分) John got a full mark on PAT. He was so happy that he decided to hold a raffle(抽奖) for his followers on Weibo -- that is, he would select winners from every N followers who forwarded his post, and give away gifts.…

1054 The Dominant Color (20 分) Behind the scenes in the computer's memory, color is always talked about as a series of 24 bits of information for each pixel. In an image, the color with the largest proportional area is called the dominant color. A st…

1027 Colors in Mars (20 分) People in Mars represent the colors in their computers in a similar way as the Earth people. That is, a color is represented by a 6-digit number, where the first 2 digits are for Red, the middle 2 digits for Green, and the…

1005 Spell It Right (20 分) Given 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 one test case. Each case occupies one line…

1092 最好吃的月饼 (20 分) 月饼是久负盛名的中国传统糕点之一,自唐朝以来,已经发展出几百品种. 若想评比出一种“最好吃”的月饼,那势必在吃货界引发一场腥风血雨…… 在这里我们用数字说话,给出全国各地各种月饼的销量,要求你从中找出销量冠军,认定为最好吃的月饼. 输入格式: 输入首先给出两个正整数 N(≤1000)和 M(≤100),分别为月饼的种类数(于是默认月饼种类从 1 到 N 编号)和参与统计的城市数量. 接下来 M 行,每行给出 N 个非负整数(均不超过 1 百万),其中第 i …

1093 字符串A+B (20 分) 给定两个字符串 A 和 B,本题要求你输出 A+B,即两个字符串的并集.要求先输出 A,再输出 B,但重复的字符必须被剔除. 输入格式: 输入在两行中分别给出 A 和 B,均为长度不超过 10​6​​的.由可见 ASCII 字符 (即码值为32~126)和空格组成的.由回车标识结束的非空字符串. 输出格式: 在一行中输出题面要求的 A 和 B 的和. 输入样例: This is a sample test to show you_How it works 输…

1089 狼人杀-简单版(20 分) 以下文字摘自<灵机一动·好玩的数学>:"狼人杀"游戏分为狼人.好人两大阵营.在一局"狼人杀"游戏中,1 号玩家说:"2 号是狼人",2 号玩家说:"3 号是好人",3 号玩家说:"4 号是狼人",4 号玩家说:"5 号是好人",5 号玩家说:"4 号是好人".已知这 5 名玩家中有 2 人扮演狼人角色,有 2 人说的不…

1017 A除以B(20 分) 本题要求计算 A/B,其中 A 是不超过 1000 位的正整数,B 是 1 位正整数.你需要输出商数 Q 和余数 R,使得 A=B×Q+R 成立. 输入格式: 输入在一行中依次给出 A 和 B,中间以 1 空格分隔. 输出格式: 在一行中依次输出 Q 和 R,中间以 1 空格分隔. 输入样例: 123456789050987654321 7 输出样例: 17636684150141093474 3 模拟手动除法过程 C++代码如下: #include<iostre…

1058 A+B in Hogwarts(20 分) If you are a fan of Harry Potter, you would know the world of magic has its own currency system -- as Hagrid explained it to Harry, "Seventeen silver Sickles to a Galleon and twenty-nine Knuts to a Sickle, it's easy enough.…

1023 Have Fun with Numbers(20 分) Notice that the number 123456789 is a 9-digit number consisting exactly the numbers from 1 to 9, with no duplication. Double it we will obtain 246913578, which happens to be another 9-digit number consisting exactly t…

1058 A+B in Hogwarts (20 分)   If you are a fan of Harry Potter, you would know the world of magic has its own currency system -- as Hagrid explained it to Harry, "Seventeen silver Sickles to a Galleon and twenty-nine Knuts to a Sickle, it's easy enou…

1031 Hello World for U (20 分)   Given any string of N (≥) 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, the characters must be printed in the original order,…

1023 Have Fun with Numbers (20 分)   Notice that the number 123456789 is a 9-digit number consisting exactly the numbers from 1 to 9, with no duplication. Double it we will obtain 246913578, which happens to be another 9-digit number consisting exactl…