Question: Please explain how to get the step one by one in detail. Thank you! Running Time Analysis T(n)=1+2T(2n)+n=1+2+4T(4n)+n+n=4T(4n)+2n+1+2=4+8T(8n)+n+2n+1+2=8T(8n)+3T(8x)+x=2kT(2kn)+kn+(20+21+22++2k1)until2kn=1k=log2nT(x)=1+2T(2x)+xT(2x)=1+2T(4x)+2x2T(2x)=2+4T(4x)+x4T(4x)=1+2T(8x)+4x

Please explain how to get the step one by one in detail. Thank you!

Running Time Analysis T(n)=1+2T(2n)+n=1+2+4T(4n)+n+n=4T(4n)+2n+1+2=4+8T(8n)+n+2n+1+2=8T(8n)+3T(8x)+x=2kT(2kn)+kn+(20+21+22++2k1)until2kn=1k=log2nT(x)=1+2T(2x)+xT(2x)=1+2T(4x)+2x2T(2x)=2+4T(4x)+x4T(4x)=1+2T(8x)+4x

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