In order to solve a problem Q , we have one hour of computing time on a machine which operates at 2 1 0 steps per second. Suppose that two algorithms are available for Q: A 1 of complexity and A 1 of com plexity 2•, where n is the problem si7.e. Show that for any problem size, n ( > 1 ), A 1 is more efficient than A 1 for problems that can be solved within the available time. What is the maximum problem si7.e that can be handled by each algorithm within an hour? Above what value of n is A 1 more efficient than A 1 ? ('There are -2 11 computational steps available in an hour.)

In order to solve a problem Q , we have one hour of computing time on a machine which XXXXXXXXXXoperates at 2 1 0 steps XXXXXXXXXXper XXXXXXXXXXsecond XXXXXXXXXXSuppose XXXXXXXXXXthat XXXXXXXXXXtwo...

In order to solve a problem

Q

,

we have one hour of computing time on a machine which operates at 2
¹
⁰

steps per second. Suppose that two
^algorithms

^are

^available

^for

^Q:

^A
1
^of

^complexity

^and

^A
1
^of

^com
plexity 2•, where

n

is the problem si7.e. Show that for any problem
^size,

ⁿ

⁽
^>

¹
^),

^A
1
^is

^more

^efficient

^than

^A
1
^for

^problems

^that

^can

^be
solved within the available time.

What is the maximum problem si7.e that can be handled by each
^algorithm

^within

^an

^hour?

^Above

^what

^value

^of

ⁿ

^is

^A
1
^more

^efficient
^than

^A
1
^?

('There are -2
¹¹

computational steps available in an hour.)

May 12, 2022

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In order to solve a problem Q , we have one hour of computing time on a machine which XXXXXXXXXXoperates at 2 1 0 steps XXXXXXXXXXper XXXXXXXXXXsecond XXXXXXXXXXSuppose XXXXXXXXXXthat XXXXXXXXXXtwo...

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