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/// <summary>
/// 数据
/// </summary>
private List<int> _number;
/// <summary>
/// 开始执行计算
/// beargo
/// </summary>
/// <param name="sender"></param>
/// <param name="e"></param>
private void button1_Click(object sender, EventArgs e)
{
_number = new List<int>();
for (int i = 0; i < 70; i++)
{
_number.Add((i + 1) * 5);
}
List<int[]> result = new List<int[]>();
int sum = 8000;//求匹配总和
DateTime now = DateTime.Now;
for (int i = 2; i < _number.Count; i++)
{
int[] newdata = new int[i];
result.AddRange(beargo_GetData(newdata, 0, _number.Count - 1, sum, 0));
}
string value = "共找到:" + result.Count.ToString() + "个匹配值,耗时:" + DateTime.Now.Subtract(now).TotalSeconds.ToString() + "秒";
}
/// <summary>
/// 获取N位(n>=2)不重复的匹配总值组合结果值
/// </summary>
/// <param name="data">当前数据</param>
/// <param name="minnum">最小起始数值</param>
/// <param name="maxnum">最大结束数值</param>
/// <param name="sum">匹配组合总值</param>
/// <param name="index">当前匹配位置索引</param>
/// <returns>得到匹配的组合集合</returns>
private List<int[]> beargo_GetData(int[] data, int minnum, int maxnum, int sum, int index)
{
List<int[]> result = new List<int[]>();
int startindex = _number.Count - data.Length + index;
int numberSum = GetNumberSum(startindex, data.Length - index - 1);
int newvalue = sum - numberSum;
if (newvalue > _number[startindex - 1] || newvalue < _number[0])
{
return result;
}
int newindex = SearchNumberIndex(newvalue, true);
minnum = newindex > minnum ? newindex : minnum;
for (int i = minnum; i <= maxnum - data.Length + index && sum - _number[i] >= GetNumberSum(i + 1, data.Length - index - 1); i++)
{
data[index] = _number[i];
if (index == data.Length - 2)
{
int endindex = SearchNumberIndex(sum - _number[i], false);// _number.IndexOf(sum - _number[i]);感觉两速度差不多.
if (endindex > i)//当最后一位索引值大于前一位索引值,则匹配值成功,添加到列表中
{
data[index + 1] = _number[endindex];
result.Add((int[])data.Clone());
}
}
else
{
result.AddRange(beargo_GetData(data, i + 1, maxnum, sum - _number[i], index + 1).ToArray());//开始计算一下位的数据。
}
}
return result;
}
/// <summary>
/// 获取从第stratIndex共length位的总和
/// </summary>
/// <param name="stratIndex">开始索引</param>
/// <param name="length">长度</param>
/// <returns>总和</returns>
private int GetNumberSum(int stratIndex, int length)
{
int result = 0;
for (int i = stratIndex; i < stratIndex + length; i++)
{
result += _number[i];
}
return result;
}
/// <summary>
/// 利用二分查找法找到绝对或接近的匹配索引值
/// </summary>
/// <param name="value">匹配值</param>
/// <param name="Approximation">如果没有绝对匹配的,是否取得最接近的索引值</param>
/// <returns>索引</returns>
private int SearchNumberIndex(int value, bool Approximation)
{
int low = 0, high = _number.Count - 1, middle = 0;
while (low <= high)
{
middle = (low + high) / 2;
if (value == _number[middle])
{
return middle;
}
else if (value < _number[middle])
{
high = middle - 1;
}
else
{
low = middle + 1;
}
}
if (!Approximation)//当不获取近似值时.又找不到数据.则索引号设置为-1
{ middle = -1; }
return middle;
}
/// <summary>
/// 数据
/// </summary>
private List<int> _number;
/// <summary>
/// 开始执行计算
/// beargo
/// </summary>
/// <param name="sender"></param>
/// <param name="e"></param>
private void button1_Click(object sender, EventArgs e)
{
_number = new List<int>();
for (int i = 0; i < 70; i++)
{
_number.Add((i + 1) * 5);
}
List<int[]> result = new List<int[]>();
int sum = 8000;//求匹配总和
DateTime now = DateTime.Now;
DataRequest = null;
DataRequest += delegate(int[] data)
{
result.Add(data);
};
for (int i = 2; i < 31; i++)
{
int[] newdata = new int[i];
beargo_GetData(newdata, 0, _number.Count - 1, sum, 0);
}
string value = "共找到:" + result.Count.ToString() + "个匹配值,耗时:" + DateTime.Now.Subtract(now).TotalSeconds.ToString() + "秒";
MessageBox.Show(value);
}
public delegate void DataRequestEventHandler(int[] data);
public event DataRequestEventHandler DataRequest;
/// <summary>
/// 获取N位(n>=2)不重复的匹配总值组合结果值
/// </summary>
/// <param name="data">当前数据</param>
/// <param name="minnum">最小起始数值</param>
/// <param name="maxnum">最大结束数值</param>
/// <param name="sum">匹配组合总值</param>
/// <param name="index">当前匹配位置索引</param>
/// <returns>得到匹配的组合集合</returns>
private void beargo_GetData(int[] data, int minnum, int maxnum, int sum, int index)
{
int startindex = _number.Count - data.Length + index;
int numberSum = GetNumberSum(startindex + 1, data.Length - index - 1);
int newvalue = sum - numberSum;
if (newvalue > _number[startindex - 1])
{
return;
}
int newindex = SearchNumberIndex(newvalue, true);
minnum = newindex > minnum ? newindex : minnum;
for (int i = minnum; i <= maxnum - data.Length + index && sum - _number[i] >= GetNumberSum(i + 1, data.Length - index - 1); i++)
{
data[index] = _number[i];
if (index == data.Length - 2)
{
int endindex = SearchNumberIndex(sum - _number[i], false);
if (endindex > i)//当最后一位索引值大于前一位索引值,则匹配值成功,添加到列表中
{
data[index + 1] = _number[endindex];
if (null != DataRequest)
{
DataRequest((int[])data.Clone());
}
}
}
else
{
beargo_GetData(data, i + 1, maxnum, sum - _number[i], index + 1);
}
}
}
/// <summary>
/// 获取从第stratIndex共length位的总和
/// </summary>
/// <param name="stratIndex">开始索引</param>
/// <param name="length">长度</param>
/// <returns>总和</returns>
private int GetNumberSum(int stratIndex, int length)
{
int result = 0;
for (int i = stratIndex; i < stratIndex + length; i++)
{
result += _number[i];
}
return result;
}
/// <summary>
/// 利用二分查找法找到绝对或接近的匹配索引值
/// </summary>
/// <param name="value">匹配值</param>
/// <param name="Approximation">如果没有绝对匹配的,是否取得最接近的索引值</param>
/// <returns>索引</returns>
private int SearchNumberIndex(int value, bool Approximation)
{
int low = 0, high = _number.Count - 1, middle = 0;
while (low <= high)
{
middle = (low + high) / 2;
if (value == _number[middle])
{
return middle;
}
else if (value < _number[middle])
{
high = middle - 1;
}
else
{
low = middle + 1;
}
}
if (!Approximation)//当不获取近似值时.又找不到数据.则索引号设置为-1
{ middle = -1; }
return middle;
}
}
/// <summary>
/// 数据
/// </summary>
private int[] _number;
/// <summary>
/// 由于重复用到总和计算,这里用字典记录已计算过的值,减少重复计算
/// </summary>
private Dictionary<string, int> _numberSum;
/// <summary>
/// 由于重复用到索引找到,这里用字典记录已查找过的索引,减少重复查找
/// </summary>
private Dictionary<string, int> _searchIndex;
/// <summary>
/// 开始执行计算
/// beargo
/// </summary>
/// <param name="sender"></param>
/// <param name="e"></param>
private void button1_Click(object sender, EventArgs e)
{
_number = new int[] { 1, 3, 5, 7, 9, 10, 11, 12, 13, 15 };//设定数据.必须为按从小到大排序过的数据,这里你如果要70个数据再用随机数生成然后排序一下吧.
_numberSum = new Dictionary<string, int>();
_searchIndex = new Dictionary<string, int>();
List<int[]> result = new List<int[]>();
int sum = 25;//求匹配总和
for (int i = 2; i < _number.Length; i++)
{
int[] newdata = new int[i];
result.AddRange(beargo_GetData(newdata, 0, _number.Length, sum, 0));
}
MessageBox.Show(result.Count.ToString());//显示得到数据的总数..
}
/// <summary>
/// 获取N位(n>=2)不重复的匹配总值组合结果值
/// </summary>
/// <param name="data">当前数据</param>
/// <param name="minnum">最小起始数值</param>
/// <param name="maxnum">最大结束数值</param>
/// <param name="sum">匹配组合总值</param>
/// <param name="index">当前匹配位置索引</param>
/// <returns>得到匹配的组合集合</returns>
private List<int[]> beargo_GetData(int[] data, int minnum, int maxnum, int sum, int index)
{
List<int[]> result = new List<int[]>();
int newindex = SearchNumberIndex(sum - GetNumberSum(_number.Length - data.Length + index, data.Length - index), true);
minnum = newindex > minnum ? newindex : minnum;
for (int i = minnum; i <= maxnum && sum - _number[i] >= GetNumberSum(i + 1, data.Length - index - 1); i++)
{
data[index] = _number[i];
if (index == data.Length - 2)
{
int endindex = SearchNumberIndex(sum - _number[i], false);
if (endindex > index)//当最后一位索引值大于前一位索引值,则匹配值成功,添加到列表中
{
data[index + 1] = _number[endindex];
result.Add((int[])data.Clone());
}
}
else
{
result.AddRange(beargo_GetData(data, i + 1, maxnum, sum - _number[i], index + 1).ToArray());//开始计算一下位的数据。
}
}
return result;
}
/// <summary>
/// 获取从第stratIndex共length位的总和
/// </summary>
/// <param name="stratIndex">开始索引</param>
/// <param name="length">长度</param>
/// <returns>总和</returns>
private int GetNumberSum(int stratIndex, int length)
{
int result = 0;
string key = string.Format("{0},{1}", stratIndex, length);
if (_numberSum.ContainsKey(key))
{
result = _numberSum[key];
}
else
{
for (int i = stratIndex; i < stratIndex + length; i++)
{
result += _number[i];
}
_numberSum[key] = result;
}
return result;
}
/// <summary>
/// 利用二分查找法找到绝对或接近的匹配索引值
/// </summary>
/// <param name="value">匹配值</param>
/// <param name="Approximation">如果没有绝对匹配的,是否取得最接近的索引值</param>
/// <returns>索引</returns>
private int SearchNumberIndex(int value, bool Approximation)
{
string key = string.Format("{0},{1}", value, Approximation);
if (_searchIndex.ContainsKey(key))
{
return _searchIndex[key];
}
int low = 0, high = _number.Length - 1, middle = 0;
while (low <= high)
{
middle = (low + high) / 2;
if (value == _number[middle])
{
_searchIndex[key] = middle;
return middle;
}
else if (value < _number[middle])
{
high = middle - 1;
}
else
{
low = middle + 1;
}
}
if (!Approximation)//当不获取近似值时.又找不到数据.则索引号设置为-1
{ middle = -1; }
_searchIndex[key] = middle;
return middle;
}
}