class Program
{
static void Main(string[] args)
{
//int[] arr = new int[] { 3, 1, 6, 9, 0 };
//ShellSort3(arr);
//for (int i = 0; i < arr.Length; i++)
//{
// Console.WriteLine(arr[i]);
//}
for (int i = 0; i < 90; i++)
{
Console.WriteLine(Fn2(i));
}
Console.WriteLine(Fn2(1000000000));
//string src = "I am zhang张英ying";
//int result = IndexOfString(src,"a",0);
//Console.WriteLine(result);
//Console.WriteLine(src);
Console.ReadKey();
}
public static void InsertionSort(int[] arr)
{
for (int i = 1; i < arr.Length; i++)
{
int t = arr[i];
int j = i;
while ((j > 0) && (arr[j - 1] > t))
{
arr[j] = arr[j - 1];//交换顺序
--j;
}
arr[j] = t;
}
}
public static void BubbleSort(int[] arr)
{
int i, j, temp;
bool done = false;
j = 1;
while ((j < arr.Length) && (!done))//判断长度
{
done = true;
for (i = 0; i < arr.Length - j; i++)
{
if (arr[i] > arr[i + 1])
{
done = false;
temp = arr[i];
arr[i] = arr[i + 1];//交换数据
arr[i + 1] = temp;
}
}
j++;
}
}
public static void TwowayBubbleSort(int[] arr)
{
bool done = false;
int right = arr.Length - 1;
int left = 0;
do
{
done = true;
for (int k = left; k < right; k++)
{
if (arr[k] > arr[k + 1])
{
done = false;
Swap(arr, k, k + 1);
}
}
right--;
if (done)
{
break;
}
else
{
done = true;
}
for (int k = right; k > left; k--)
{
if (arr[k] < arr[k - 1])
{
done = false;
Swap(arr, k, k - 1);
}
}
left++;
} while ((left < right) && (!done));
}
public static void ShellSort(int[] arr)
{
var steps = new int[] {9, 5, 3, 1};
for (int i = 0; i < steps.Length; i++)
{
int k = steps[i];
for(int j=k;j<arr.Length;j++)
{
if(arr[j]<arr[j-k]) Swap(arr,j,j-k);
}
}
}
public static void ShellSort2(int[] arr, int count)
{
var step = new int[] {1};
int iTemp;
int k, s, w;
for (int i = 0; i < 1; i++)
{
k = step[i];
s = -k;
for (int j = k; j < count; j++)
{
iTemp = arr[j];
w = j - k; //求上step个元素的下标
if (s == 0)
{
s = -k;
s++;
arr[s] = iTemp;
}
while ((w >= 0) && (w <= count) && (iTemp < arr[w]))
{
arr[w + k] = arr[w];
w = w - k;
}
arr[w + k] = iTemp;
}
}
}
public static void ShellSort3(int[] arr)
{
int inc;
for (inc = 1; inc <= arr.Length/9; inc = 3*inc + 1) ;
for (; inc > 0; inc /= 3)
{
for (int i = inc + 1; i <= arr.Length; i += inc)
{
int t = arr[i - 1];
int j = i;
while ((j > inc) && (arr[j - inc - 1] > t))
{
arr[j - 1] = arr[j - inc - 1];
j -= inc;
}
arr[j - 1] = t;
}
}
}
public static void QuickSort(int[] arr,int start,int end)
{
if (start >= end)
return;
if (1 == end - start) //可以考虑当end - start小于某个值时采用插入排序
{
if (arr[end] >= arr[start])
return;
else
{
Swap(arr,start,end);
}
}
int i = start-1;
int j = end+1;
int middle = arr[new Random().Next(start,end)]; //arr[(start + end)/2];
while (true)
{
while (arr[++i] < middle && i < end) ;
while (arr[--j] > middle && j > start) ;
if (i >= j)
break;
Swap(arr, i,j);
}
QuickSort(arr, start, i-1);
QuickSort(arr, j + 1, end);
}
public static void QuickSortNoRecursion(int[] arr, int start, int end)
{
var dataRanges = new Stack<int[]>();
dataRanges.Push(new int[] { start, end });
while (dataRanges.Count>0)
{
int[] data = dataRanges.Pop();
InnerQuickSortNoRecursion(arr, data[0], data[1], dataRanges);
}
}
private static void InnerQuickSortNoRecursion(int[] arr, int left, int right, Stack<int[]> dataRanges)
{
if (left >= right)
return;
if (1 == right - left) //可以考虑当end - start小于某个值时采用插入排序
{
if (arr[right] >= arr[left])
return;
else
{
Swap(arr, left, right);
}
}
int i = left - 1;
int j = right + 1;
int middle = arr[new Random().Next(left, right)]; //arr[(start + end)/2];
while (true)
{
while (arr[++i] < middle && i < right) ;
while (arr[--j] > middle && j > left) ;
if (i >= j)
break;
Swap(arr, i, j);
}
dataRanges.Push(new int[]{ left, i - 1});
dataRanges.Push(new int[]{j + 1, right});
}
private static void Swap(int[] arr, int i, int j)
{
int tmp = arr[i];
arr[i] = arr[j];
arr[j] = tmp;
}
public static string RevertString(string src)
{
var result = new char[src.Length];
for(int i=0;i<src.Length/2;i++)
{
result[i] = src[src.Length - i - 1];
result[src.Length - i - 1] = src[i];
}
if (src.Length % 2 ==1)
{
result[src.Length/2 + 1] = src[src.Length/2 + 1];
}
return string.Concat(result);
}
public static string RevertString2(string src)
{
char tmp;
unsafe
{
fixed (char* ps = src)
{
for (int i = 0; i < src.Length / 2; i++)
{
tmp = ps[i];
ps[i] = ps[src.Length - i - 1];
ps[src.Length - i - 1] = tmp;
}
}
}
return src;
}
public static int IndexOfString(string main,string sub,int pos)
{
var nextPosition = GetNextPosition(sub);
int i=pos, j=0;
while(i<main.Length && j<sub.Length)
{
if (j==-1||main[i] == sub[j])
{
i++;
j++;
}
else
{
j = nextPosition[j];
}
}
if (j == sub.Length)
{
return i - sub.Length;
}
else
{
return -1;
}
}
private static Dictionary<int,int> GetNextPosition(string sub)
{
int i = 0, j = -1;
var result = new Dictionary<int, int>();
result.Add(0,-1);
while(i<sub.Length)
{
if(j==-1||sub[i]==sub[j])
{
i++;
j++;
result.Add(i,j);
}
else
{
result.Add(j,j);
}
}
return result;
}
public static long Fn(int n)
{
if (3 < n)
{
if (0 == n%2)
{
long t1 = Fn(n/2);
long t2 = Fn(n/2 - 1);
return t1*t1 + t2*t2;
}
else
{
long t1 = Fn(n/2);
long t2 = Fn(n/2 - 1);
return 2*t1*t2 + t1*t1;
}
}
if (3 == n) return 3;
if (2 == n) return 2;
if (1 == n) return 1;
return -1;
}
/// <summary>
/// 基本原理为:
/// n为偶数时f(n)=f(n/2)*f(n/2)+f(n-1)*f(n-1);
/// n为基数时f(n)=f(n/2+1)*f(n/2)+f(n/2)*f(n/2-1);
/// </summary>
/// <param name="n"></param>
/// <returns></returns>
public static long Fn2(int n)
{
if (1 < n)
{
var steps = new Stack<int>();
while (n > 2)
{
steps.Push(n);
n /= 2;
}
long r1 = 2, r2 = 3;
while (steps.Count > 0)
{
int tmp = steps.Pop();
if (3 < tmp)
{
long tr1;
long tr2;
if (0 == tmp%2)
{
tr1 = 2*r1*r1 + r2*r2 - 2*r1*r2;
tr2 = 2*r1*r2 - r1*r1;
r1 = tr1;
r2 = tr2;
}
else
{
tr1 = 2*r1*r2 - r1*r1;
tr2 = r1*r1 + r2*r2;
r1 = tr1;
r2 = tr2;
}
}
else
{
r1 = 3;
r2 = 5;
}
}
return r1;
}
if (1 == n) return 1;
return -1;
}
}
{
static void Main(string[] args)
{
//int[] arr = new int[] { 3, 1, 6, 9, 0 };
//ShellSort3(arr);
//for (int i = 0; i < arr.Length; i++)
//{
// Console.WriteLine(arr[i]);
//}
for (int i = 0; i < 90; i++)
{
Console.WriteLine(Fn2(i));
}
Console.WriteLine(Fn2(1000000000));
//string src = "I am zhang张英ying";
//int result = IndexOfString(src,"a",0);
//Console.WriteLine(result);
//Console.WriteLine(src);
Console.ReadKey();
}
public static void InsertionSort(int[] arr)
{
for (int i = 1; i < arr.Length; i++)
{
int t = arr[i];
int j = i;
while ((j > 0) && (arr[j - 1] > t))
{
arr[j] = arr[j - 1];//交换顺序
--j;
}
arr[j] = t;
}
}
public static void BubbleSort(int[] arr)
{
int i, j, temp;
bool done = false;
j = 1;
while ((j < arr.Length) && (!done))//判断长度
{
done = true;
for (i = 0; i < arr.Length - j; i++)
{
if (arr[i] > arr[i + 1])
{
done = false;
temp = arr[i];
arr[i] = arr[i + 1];//交换数据
arr[i + 1] = temp;
}
}
j++;
}
}
public static void TwowayBubbleSort(int[] arr)
{
bool done = false;
int right = arr.Length - 1;
int left = 0;
do
{
done = true;
for (int k = left; k < right; k++)
{
if (arr[k] > arr[k + 1])
{
done = false;
Swap(arr, k, k + 1);
}
}
right--;
if (done)
{
break;
}
else
{
done = true;
}
for (int k = right; k > left; k--)
{
if (arr[k] < arr[k - 1])
{
done = false;
Swap(arr, k, k - 1);
}
}
left++;
} while ((left < right) && (!done));
}
public static void ShellSort(int[] arr)
{
var steps = new int[] {9, 5, 3, 1};
for (int i = 0; i < steps.Length; i++)
{
int k = steps[i];
for(int j=k;j<arr.Length;j++)
{
if(arr[j]<arr[j-k]) Swap(arr,j,j-k);
}
}
}
public static void ShellSort2(int[] arr, int count)
{
var step = new int[] {1};
int iTemp;
int k, s, w;
for (int i = 0; i < 1; i++)
{
k = step[i];
s = -k;
for (int j = k; j < count; j++)
{
iTemp = arr[j];
w = j - k; //求上step个元素的下标
if (s == 0)
{
s = -k;
s++;
arr[s] = iTemp;
}
while ((w >= 0) && (w <= count) && (iTemp < arr[w]))
{
arr[w + k] = arr[w];
w = w - k;
}
arr[w + k] = iTemp;
}
}
}
public static void ShellSort3(int[] arr)
{
int inc;
for (inc = 1; inc <= arr.Length/9; inc = 3*inc + 1) ;
for (; inc > 0; inc /= 3)
{
for (int i = inc + 1; i <= arr.Length; i += inc)
{
int t = arr[i - 1];
int j = i;
while ((j > inc) && (arr[j - inc - 1] > t))
{
arr[j - 1] = arr[j - inc - 1];
j -= inc;
}
arr[j - 1] = t;
}
}
}
public static void QuickSort(int[] arr,int start,int end)
{
if (start >= end)
return;
if (1 == end - start) //可以考虑当end - start小于某个值时采用插入排序
{
if (arr[end] >= arr[start])
return;
else
{
Swap(arr,start,end);
}
}
int i = start-1;
int j = end+1;
int middle = arr[new Random().Next(start,end)]; //arr[(start + end)/2];
while (true)
{
while (arr[++i] < middle && i < end) ;
while (arr[--j] > middle && j > start) ;
if (i >= j)
break;
Swap(arr, i,j);
}
QuickSort(arr, start, i-1);
QuickSort(arr, j + 1, end);
}
public static void QuickSortNoRecursion(int[] arr, int start, int end)
{
var dataRanges = new Stack<int[]>();
dataRanges.Push(new int[] { start, end });
while (dataRanges.Count>0)
{
int[] data = dataRanges.Pop();
InnerQuickSortNoRecursion(arr, data[0], data[1], dataRanges);
}
}
private static void InnerQuickSortNoRecursion(int[] arr, int left, int right, Stack<int[]> dataRanges)
{
if (left >= right)
return;
if (1 == right - left) //可以考虑当end - start小于某个值时采用插入排序
{
if (arr[right] >= arr[left])
return;
else
{
Swap(arr, left, right);
}
}
int i = left - 1;
int j = right + 1;
int middle = arr[new Random().Next(left, right)]; //arr[(start + end)/2];
while (true)
{
while (arr[++i] < middle && i < right) ;
while (arr[--j] > middle && j > left) ;
if (i >= j)
break;
Swap(arr, i, j);
}
dataRanges.Push(new int[]{ left, i - 1});
dataRanges.Push(new int[]{j + 1, right});
}
private static void Swap(int[] arr, int i, int j)
{
int tmp = arr[i];
arr[i] = arr[j];
arr[j] = tmp;
}
public static string RevertString(string src)
{
var result = new char[src.Length];
for(int i=0;i<src.Length/2;i++)
{
result[i] = src[src.Length - i - 1];
result[src.Length - i - 1] = src[i];
}
if (src.Length % 2 ==1)
{
result[src.Length/2 + 1] = src[src.Length/2 + 1];
}
return string.Concat(result);
}
public static string RevertString2(string src)
{
char tmp;
unsafe
{
fixed (char* ps = src)
{
for (int i = 0; i < src.Length / 2; i++)
{
tmp = ps[i];
ps[i] = ps[src.Length - i - 1];
ps[src.Length - i - 1] = tmp;
}
}
}
return src;
}
public static int IndexOfString(string main,string sub,int pos)
{
var nextPosition = GetNextPosition(sub);
int i=pos, j=0;
while(i<main.Length && j<sub.Length)
{
if (j==-1||main[i] == sub[j])
{
i++;
j++;
}
else
{
j = nextPosition[j];
}
}
if (j == sub.Length)
{
return i - sub.Length;
}
else
{
return -1;
}
}
private static Dictionary<int,int> GetNextPosition(string sub)
{
int i = 0, j = -1;
var result = new Dictionary<int, int>();
result.Add(0,-1);
while(i<sub.Length)
{
if(j==-1||sub[i]==sub[j])
{
i++;
j++;
result.Add(i,j);
}
else
{
result.Add(j,j);
}
}
return result;
}
public static long Fn(int n)
{
if (3 < n)
{
if (0 == n%2)
{
long t1 = Fn(n/2);
long t2 = Fn(n/2 - 1);
return t1*t1 + t2*t2;
}
else
{
long t1 = Fn(n/2);
long t2 = Fn(n/2 - 1);
return 2*t1*t2 + t1*t1;
}
}
if (3 == n) return 3;
if (2 == n) return 2;
if (1 == n) return 1;
return -1;
}
/// <summary>
/// 基本原理为:
/// n为偶数时f(n)=f(n/2)*f(n/2)+f(n-1)*f(n-1);
/// n为基数时f(n)=f(n/2+1)*f(n/2)+f(n/2)*f(n/2-1);
/// </summary>
/// <param name="n"></param>
/// <returns></returns>
public static long Fn2(int n)
{
if (1 < n)
{
var steps = new Stack<int>();
while (n > 2)
{
steps.Push(n);
n /= 2;
}
long r1 = 2, r2 = 3;
while (steps.Count > 0)
{
int tmp = steps.Pop();
if (3 < tmp)
{
long tr1;
long tr2;
if (0 == tmp%2)
{
tr1 = 2*r1*r1 + r2*r2 - 2*r1*r2;
tr2 = 2*r1*r2 - r1*r1;
r1 = tr1;
r2 = tr2;
}
else
{
tr1 = 2*r1*r2 - r1*r1;
tr2 = r1*r1 + r2*r2;
r1 = tr1;
r2 = tr2;
}
}
else
{
r1 = 3;
r2 = 5;
}
}
return r1;
}
if (1 == n) return 1;
return -1;
}
}
