Lecture 24: Basic Maths for DSA || Sieve || Modular Arithmetics || Euclid’s Algorithm

[@vortexdeo4545]

38:05 Fast Exponentiation dry run For n even. x=2, n=8, m= 10^9+7 in 1st loop res = 1, x= 4, n = 4 2nd time res = 1, x= 16, n=2 3rd. res = 1, x= 256, n= 1 loop 4. n is odd. res= 256, x = 256*256, n =0 result = res= 256 For n even x= 2, n=9, m= 10^9+7 1st loop.n odd. res = 1*x = 2, x = 4, n = 4 2nd loop. res=2, x=16, n = 2 3rd loop. res = 2, x= 256, n =1 4th. n odd. res= 2*256= 512, x= 256*256, n=0 result = res= 512

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[@parthtandon6894]

If m is There 10^9+7 then x%m is zero right?

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vector we are creating for storing ifPrime or not is of size (n+1) why not simply n

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@@Vibhanshushrivastava because index starts from 0 and we have to store numbers from 0 to n that's why n+1

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22:30 GCD another appraoch int a=0, b=0; couta>>b; int HCF = 1; // * we have to iterate the loop till the smallest of both of them for(int i=1;i HCF ? i : HCF; cout

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Cout

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std::cout

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