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Juan Lopes
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for(int i = 0; i < 30000; i++)
    s += “whatever”;
var builder = new StringBuilder();
for(int i = 0; i < 30000; i++)
    builder.Append(“whatever”);

s = builder.ToString();
var builder = new StringBuilder();
builder.Append(“whatever”);
builder.Append(“whatever”);
s = builder.ToString();
n        tempo
     5         175
    10         700
    15        1575
    20        2800
    25        4375
    30        6300
    35        8575
    50       17500
                                       tempo
                     20000

                     15000

                     10000
                                                        tempo

                     5000

                         0
                             5   10 15 20 25 30 35 50
n
for(int i = 0; i < ; i++)
    s += “whatever”;




  O(n)?
for(int i = 0; i < ; i++)  n
    s += “whatever”;


  i        len(s)       custo
  0        0            L
  1        L            2*L
  2        2*L          3*L
                    …
  n        n*L          (n+1)*L
                         n²  n
                                L
  Total:                    2
n
for(int i = 0; i < ; i++)
    s += “whatever”;




  O(n²L)!
Dr. Donald E.

                   Knuth
“Programmers waste enormous amounts of time thinking about, or worrying
 about, the speed of noncritical parts of their programs, and these attempts
  at efficiency actually have a strong negative impact when debugging and
                          maintenance are considered.
  We should forget about small efficiencies, say about
                   97% of the time:
 premature optimization is the root of all evil.
      Yet we should not pass up our opportunities in that critical 3%.”
Vilfredo

Pareto

           20%


                 Alguma coisa
                 Outra coisa
80%
LT 03 - Juan Lopes - Complexidade algoritmos
LT 03 - Juan Lopes - Complexidade algoritmos

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LT 03 - Juan Lopes - Complexidade algoritmos

  • 2.
  • 3.
  • 4. for(int i = 0; i < 30000; i++) s += “whatever”;
  • 5. var builder = new StringBuilder(); for(int i = 0; i < 30000; i++) builder.Append(“whatever”); s = builder.ToString();
  • 6. var builder = new StringBuilder(); builder.Append(“whatever”); builder.Append(“whatever”); s = builder.ToString();
  • 7.
  • 8. n tempo 5 175 10 700 15 1575 20 2800 25 4375 30 6300 35 8575 50 17500 tempo 20000 15000 10000 tempo 5000 0 5 10 15 20 25 30 35 50
  • 9. n for(int i = 0; i < ; i++) s += “whatever”; O(n)?
  • 10. for(int i = 0; i < ; i++) n s += “whatever”; i len(s) custo 0 0 L 1 L 2*L 2 2*L 3*L … n n*L (n+1)*L n²  n L Total: 2
  • 11. n for(int i = 0; i < ; i++) s += “whatever”; O(n²L)!
  • 12.
  • 13.
  • 14.
  • 15. Dr. Donald E. Knuth “Programmers waste enormous amounts of time thinking about, or worrying about, the speed of noncritical parts of their programs, and these attempts at efficiency actually have a strong negative impact when debugging and maintenance are considered. We should forget about small efficiencies, say about 97% of the time: premature optimization is the root of all evil. Yet we should not pass up our opportunities in that critical 3%.”
  • 16. Vilfredo Pareto 20% Alguma coisa Outra coisa 80%