It'd be more educational to try to understand your own question.
Since i haven't studied Computer Science (but Fine Art ) i am not the best guy here to help you do your homework. I could give it a go though.
Your question sounds really complicated. But what it means (I believe) is this:
constant execution time paradigm: execution time is NOT dependent on the arguments.
so for example : algorithm(4,80) takes just as long to execute as algorithm(4000300,6000000)
You must know this beter than i do but isn't that an algorithm that takes 0(N) or something ?
so your second sentence means the same as the first (since "amended according to the
constant execution time paradigm"="variation in execution time will
be reduced." )
well anyway , i believe simple arithmetic are algorithm that suit your need, or simple instructions (goto, cin, cout whatever)
to find the same info i just found type google:"constant execution time" and research it!
success