题意 给你一个数 $a+bj, \ j=\sqrt {-2}$,如果它只能被1.-1.本身和本身的相反数整除,则输出Yes,否则输出No. 分析 高斯整数 $a+bi$ 是素数当且仅当: (1)$a,b$ 中有一个是0,另一个数的绝对值是形如 $4n+3$ 的素数 (2)$a,b$ 均不为0,而 $a^2+b^2$ 为素数 与判断高斯素数的方法一样,只是将 $j = \sqrt{-1}$ 改成 $j = \sqrt{-2}$, 所以把 $a^2+b^2$ 为素数这个条件改成:$a^2 + 2b^…

UVA 1415 - Gauss Prime 题目链接 题意:给定a + bi,推断是否是高斯素数,i = sqrt(-2). 思路:普通的高斯素数i = sqrt(-1),推断方法为: 1.假设a或b为0.推断还有一个数为4 * n + 3形式的素数(用到费马平方和定理) 2.假设a.b都不为0,推断a ^ 2 + b ^ 2 是否为素数 那么这题,提取出sqrt(2)来,就和基本情况一样了. 对于2,变成: 假设a.b都不为0,推断a ^ 2 + 2 b ^ 2是否为素数 对于1.事实上仅仅…

A Simple Math Problem Time Limit: 3000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 2441    Accepted Submission(s): 1415 Problem Description Lele now is thinking about a simple function f(x). If x < 10 f(x) =…

A Simple Math Problem Time Limit: 3000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 4331    Accepted Submission(s): 2603 Problem Description Lele now is thinking about a simple function f(x).If x < 10 f(x) =…

Jam's math problem Problem Description Jam has a math problem. He just learned factorization.He is trying to factorize ax^2+bx+c into the form of pqx^2+(qk+mp)x+km=(px+k)(qx+m).He could only solve the problem in which p,q,m,k are positive numbers.Ple…

Bob and math problem Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 401    Accepted Submission(s): 149 Problem Description Recently, Bob has been thinking about a math problem.There are N Digit…

A Simple Math Problem Time Limit: 3000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 2791    Accepted Submission(s): 1659 Problem Description Lele now is thinking about a simple function f(x). If x < 10 f(x) =…

Problem Description Jam has a math problem. He just learned factorization. He is trying to factorize ax^2+bx+cax​2​​+bx+c into the form of pqx^2+(qk+mp)x+km=(px+k)(qx+m)pqx​2​​+(qk+mp)x+km=(px+k)(qx+m). He could only solve the problem in which p,q,m,…

P2071 -- A Simple Math Problem IX 时间限制:1000MS      内存限制:262144KB 状态:Accepted      标签:    数学问题-博弈论   无   无 Description 给定a,b,n,保证a≥2,b≥1,a^b≤n.两个人在玩游戏,每个人每次可以把a加1,或者把b加1,但是不能违反a^b<=n,无法再进行操作的人就输掉了这一场游戏. 假设两个人都足够聪明,按照最优策略进行游戏,问先手是否有必胜策略. Input Format 第…

Jam's math problem Submit Status Practice HDU 5615   Description Jam has a math problem. He just learned factorization.  He is trying to factorize  into the form of .  He could only solve the problem in which p,q,m,k are positive numbers.  Please hel…