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July 26, 2020 12:57
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Solving Fibonacci Series with Dynamic Programming in C#
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using System; | |
using System.Diagnostics; | |
// Solving Fibonacci series with Dynamic | |
// Programming algorithms using C# | |
public class Program | |
{ | |
public static void Main() | |
{ | |
Console.WriteLine("Solving Fibonacci Series with Dynamic Programming in C#"); | |
Console.WriteLine("======================================================="); | |
Console.WriteLine("==================BY==UDARA ALWIS======================"); | |
Console.WriteLine("======================================================="); | |
Console.WriteLine(""); | |
Console.WriteLine("Recursive method"); | |
Stopwatch stopwatch = Stopwatch.StartNew(); | |
// Recursive | |
for (int i = 0; i < 30; i++) | |
{ | |
Console.Write(GetFibValueOf_Recursive(i + 1).ToString() + ","); | |
} | |
stopwatch.Stop(); | |
Console.WriteLine("\nTime elapsed: {0}", stopwatch.ElapsedTicks); | |
Console.WriteLine(); | |
Console.WriteLine("Memoize method"); | |
stopwatch = Stopwatch.StartNew(); | |
// Memoize | |
for (int i = 0; i < 30; i++) | |
{ | |
int? [] memoList = new int? [i + 1]; | |
Console.Write(GetFibValueOf_Memoize(i + 1, memoList).ToString() + ","); | |
} | |
stopwatch.Stop(); | |
Console.WriteLine("\nTime elapsed: {0}", stopwatch.ElapsedTicks); | |
Console.WriteLine(); | |
Console.WriteLine("Bottom Up method"); | |
stopwatch = Stopwatch.StartNew(); | |
// Bottom Up | |
for (int i = 0; i < 30; i++) | |
{ | |
Console.Write(GetFibValueOf_BottomUp(i + 1).ToString() + ","); | |
} | |
stopwatch.Stop(); | |
Console.WriteLine("\nTime elapsed: {0}", stopwatch.ElapsedTicks); | |
Console.WriteLine(); | |
} | |
private static int GetFibValueOf_Recursive(int position) | |
{ | |
if (position == 1 || position == 2) | |
return 1; | |
return GetFibValueOf_Recursive(position - 1) + GetFibValueOf_Recursive(position - 2); | |
} | |
private static int? GetFibValueOf_Memoize(int position, int? [] memoList) | |
{ | |
if (memoList[position - 1] != null) | |
{ | |
return memoList[position - 1]; | |
} | |
int? result = 0; | |
if (position == 1 || position == 2) | |
result = memoList[position - 1] = 1; | |
else | |
{ | |
result = memoList[position - 1] = GetFibValueOf_Memoize(position - 1, memoList) + GetFibValueOf_Memoize(position - 2, memoList); | |
} | |
return result; | |
} | |
private static int? GetFibValueOf_BottomUp(int position) | |
{ | |
if(position == 1 || position == 2) | |
return 1; | |
else | |
{ | |
int[] fibArray = new int[position]; | |
fibArray[0] = 1; | |
fibArray[1] = 1; | |
for(int i = 2; i < position; i++) | |
{ | |
fibArray[i] = (fibArray[i - 1]) + (fibArray[i - 2]); | |
} | |
return fibArray[position - 1]; | |
} | |
} | |
} | |
// RESULTS: | |
// Solving Fibonachi Series with Dynamic Programming in C# | |
// ======================================================= | |
// ==================BY==UDARA ALWIS====================== | |
// ======================================================= | |
// | |
// Recursive method | |
// 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,10946,17711,28657,46368,75025,121393,196418,317811,514229,832040, | |
// Time elapsed: 271522 | |
// | |
// Memoize method | |
// 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,10946,17711,28657,46368,75025,121393,196418,317811,514229,832040, | |
// Time elapsed: 3608 | |
// | |
// Bottom Up method | |
// 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,10946,17711,28657,46368,75025,121393,196418,317811,514229,832040, | |
// Time elapsed: 2318 |
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