1 What We Will Learn Introduction Passing input parameters Producing output Scope of variables ...

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1 What We Will Learn Introduction Passing input parameters Producing output Scope of variables Storage Class of variables Function usage example Recursion

Transcript of 1 What We Will Learn Introduction Passing input parameters Producing output Scope of variables ...

Page 1: 1 What We Will Learn Introduction Passing input parameters Producing output Scope of variables Storage Class of variables Function usage example.

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What We Will Learn

Introduction

Passing input parameters

Producing output

Scope of variables

Storage Class of variables

Function usage example

Recursion

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How to use functions: Example

An Example Goldbach’s Conjecture Any even number larger than 2 can be expressed

as sum of two prim numbers

It is not proved yet! 1,000,000$ to proof ;-)

Write a program that takes numbers from user and checks correctness of the conjecture

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Main Algorithm

While(number is not zero)

if(number >= 2 and even)

Check Goldbach’s Conjecture

else

Print some message

read next number

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Check Goldbach’s Conjecture Algorithm

Algorithm: Goldbach Input: nOutput: 0 if conjecture is incorrect else 1

for(i from 2 to n/2)j = n – iif(is_prime(j))

conjecture is correct

i = next_prime_number(i)

Conjecture is incorrect

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is_prime algorithm

Algorithm: is_prime Input: n

Output: 1 if n is prime else 0

for(i from 2 to sqrt(n))

if(n % i == 0)

n is not prime

n is prime

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next_prime_number algorithm

Algorithm: next_prime_number Input: nOutput: prime number

if n is 2output is 3

else do

n = n + 2while(is_prime(n) == 0)output is n

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Putting them altogetherint is_prime(int n){…

}

int next_prime_number(int n){…

}

int check_Goldbach(int n){…

}

int main(void){…

}


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