2^x mod n = 1 acm競賽題 Give a number n, find the minimum x that satisfies 2^x mod n = 1.
Input
One positive integer on each line, the value of n.
Output
If the minimum x exists, print a line with 2^x mod n = 1.
Print 2^? mod n = 1 otherwise.
You should replace x and n with specific numbers.
Sample Input
2
5
Sample Output
2^? mod 2 = 1
2^4 mod 5 = 1
Abstract: A digital RF modulator, an integrated solution that satisfies stringent DOCSIS RF-performancerequirements, takes advantage of modern technologies like high-performance wideband digital-to-analogconversion and CMOS technology scaling. This application note describes the concept and advantages ofa digital quadrature amplitude modulation (QAM) modulator that uses the direct-RF architecture to enablea cable access platform (CCAP) system.
基于PIC單片機的脈沖電源:設(shè)計了一種金屬凝固過程用脈沖電源。該電源采用PIC16F877作為主控芯片，實現(xiàn)對窄脈沖電流幅值的檢測，以及時電流脈沖幅值根據(jù)模糊PID算法進行閑環(huán)控制。使用結(jié)果表明：該電源的輸出脈沖波形良好，電流幅值穩(wěn)定，滿足合金材料凝固過程的工藝要求且運行穩(wěn)定可靠。關(guān)鍵詞：脈沖電源；PIC16F877單片機；模糊PID；閑環(huán)控制
Abstract：A kind of pulse power supply was designed which uses in the metal solidification process ．．I11is power supply used PIC16F877 to take the master control chip reali on to the narrow pulse electric current peak-to-peak value examination，carried on the closed-loop control to the electric current pulse peak-to-peak value basis fuzzy PID algorithm．The use result indicated ，this power supply output se profile is good，and the electric current peak-to-p~k value is stable，It satisfies the alloy material solidification process the technological requirement and movement stable reliable，Key words：p se po wer supply；PIC16F877single-chip microcontroller；f r PID；closed-loop control
平均因子分解法，適用于正定矩陣First, let s recall the definition of the Cholesky decomposition: Given a symmetric positive definite square matrix X, the Cholesky decomposition of X is the factorization X=U U, where U is the square root matrix of X, and satisfies:
(1) U U = X
(2) U is upper triangular (that is, it has all zeros below the diagonal).
It seems that the assumption of positive definiteness is necessary. Actually, it is "positive definite" which guarantees the existence of such kind of decomposition.
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ARP test mode. According to the idea we design the arithmetic for the key part, first the system sends a message to the target machine, and then system wait for the response. Once system receives a message, it starts to analyze the message, according to the message s parameter system judges whether the message satisfies the conditions. Once the message satisfies all the conditions, the system thinks the machine is sniffing, and adds this machine into the list of sniffing machines. On this basis the detection has done well, and at the same time we insert the result into the log database for inquire and analyze later.
Functions are mappings from one Manifold to another. Discrete Functions are functions which can be represented using a finite number of values. Given the finite extent of computer memory, algorithms which compute a function that satisfies some special properties are computing a discrete function which approximates a continuous function. Computing the function involves writing a set of equations that may be solved for the values representing the function.
