April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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374 Design and Analysis of Algorithms
Let us not think that advances in the computer hardware technology will markedly change the situation
depicted in Table 14.1. Table 14.2 shows the expected effect of improved computer technology on running
times of various types of algorithms.
Algorithm
complexity
size of the largest problem solvable in 1 hr
With present
computer
With computer
100 times faster
With computer
1000 times
Poly nomial
n
n
2
n
3
n
5
N
1
N
3
N
4
N
5
100N
1
10N
2
4.64N
3
2.5N
4
1000N
1
31.6N
2
10N
3
3.98.N
4
Non-polynomial
2
n
3
n
N
5
N
6
N
5
+ 6.64
N
6
+ 4.19
N
5
+ 9.97
N
6
+ 6.29
Table 14.2 Expected effect of improvements in computer technology on running times of algorithms
14.2 ...
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