【数位dp】【动态规划】【KMP】1397. 找到所有好字符串

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【动态规划】【字符串】【表达式】2019. 解出数学表达式的学生分数

本文涉及知识点

动态规划汇总

LeetCode1397. 找到所有好字符串

给你两个长度为 n 的字符串 s1 和 s2 ，以及一个字符串 evil 。请你返回好字符串的数目。
好字符串的定义为：它的长度为 n ，字典序大于等于 s1 ，字典序小于等于 s2 ，且不包含 evil 为子字符串。
由于答案可能很大，请你返回答案对 10^9 + 7 取余的结果。
示例 1：
输入：n = 2, s1 = “aa”, s2 = “da”, evil = “b”
输出：51
解释：总共有 25 个以 ‘a’ 开头的好字符串：“aa”，“ac”，“ad”，…，“az”。还有 25 个以 ‘c’ 开头的好字符串：“ca”，“cc”，“cd”，…，“cz”。最后，还有一个以 ‘d’ 开头的好字符串：“da”。
示例 2：
输入：n = 8, s1 = “leetcode”, s2 = “leetgoes”, evil = “leet”
输出：0
解释：所有字典序大于等于 s1 且小于等于 s2 的字符串都以 evil 字符串 “leet” 开头。所以没有好字符串。
示例 3：
输入：n = 2, s1 = “gx”, s2 = “gz”, evil = “x”
输出：2
提示：
s1.length == n
s2.length == n
s1 <= s2
1 <= n <= 500
1 <= evil.length <= 50
所有字符串都只包含小写英文字母。

动态规划

直接利用封装好的数位模版，自定义状态枚举串的后缀和evi的前缀最长部分。
之前的长度len，如果当前位相同，len+1。
否则，比较最长的前缀，类似KMP。

代码

核心代码

class KMP
{
public:
	virtual int Find(const string& s, const string& t)
	{
		CalLen(t);
		m_vSameLen.assign(s.length(), 0);
		for (int i1 = 0, j = 0; i1 < s.length(); )
		{
			for (; (j < t.length()) && (i1 + j < s.length()) && (s[i1 + j] == t[j]); j++);
			//i2 = i1 + j 此时s[i1,i2)和t[0,j)相等 s[i2]和t[j]不存在或相等
			m_vSameLen[i1] = j;
			//t[0,j)的结尾索引是j-1，所以最长公共前缀为m_vLen[j-1]，简写为y 则t[0,y)等于t[j-y,j)等于s[i2-y,i2)
			if (0 == j)
			{
				i1++;
				continue;
			}
			const int i2 = i1 + j;
			j = m_vLen[j - 1];
			i1 = i2 - j;//i2不变
		}

		for (int i = 0; i < m_vSameLen.size(); i++)
		{//多余代码是为了增加可测试性
			if (t.length() == m_vSameLen[i])
			{
				return i;
			}
		}
		return -1;
	}
	vector<int> m_vSameLen;//m_vSame[i]记录 s[i...]和t[0...]最长公共前缀，增加可调试性
	static vector<int> Next(const string& s)
	{
		const int len = s.length();
		vector<int> vNext(len, -1);
		for (int i = 1; i < len; i++)
		{
			int next = vNext[i - 1];
			while ((-1 != next) && (s[next + 1] != s[i]))
			{
				next = vNext[next];
			}
			vNext[i] = next + (s[next + 1] == s[i]);
		}
		return vNext;
	}
protected:
	void CalLen(const string& str)
	{
		m_vLen.resize(str.length());
		for (int i = 1; i < str.length(); i++)
		{
			int next = m_vLen[i - 1];
			while (str[next] != str[i])
			{
				if (0 == next)
				{
					break;
				}
				next = m_vLen[0];
			}
			m_vLen[i] = next + (str[next] == str[i]);
		}
	}
	int m_c;
	vector<int> m_vLen;//m_vLen[i] 表示t[0,i]的最长公共前后缀	
};


template<int MOD = 1000000007>
class C1097Int
{
public:
	C1097Int(long long llData = 0) :m_iData(llData% MOD)
	{

	}
	C1097Int  operator+(const C1097Int& o)const
	{
		return C1097Int(((long long)m_iData + o.m_iData) % MOD);
	}
	C1097Int& operator+=(const C1097Int& o)
	{
		m_iData = ((long long)m_iData + o.m_iData) % MOD;
		return *this;
	}
	C1097Int& operator-=(const C1097Int& o)
	{
		m_iData = (m_iData + MOD - o.m_iData) % MOD;
		return *this;
	}
	C1097Int  operator-(const C1097Int& o)
	{
		return C1097Int((m_iData + MOD - o.m_iData) % MOD);
	}
	C1097Int  operator*(const C1097Int& o)const
	{
		return((long long)m_iData * o.m_iData) % MOD;
	}
	C1097Int& operator*=(const C1097Int& o)
	{
		m_iData = ((long long)m_iData * o.m_iData) % MOD;
		return *this;
	}
	bool operator<(const C1097Int& o)const
	{
		return m_iData < o.m_iData;
	}
	C1097Int pow(long long n)const
	{
		C1097Int iRet = 1, iCur = *this;
		while (n)
		{
			if (n & 1)
			{
				iRet *= iCur;
			}
			iCur *= iCur;
			n >>= 1;
		}
		return iRet;
	}
	C1097Int PowNegative1()const
	{
		return pow(MOD - 2);
	}
	int ToInt()const
	{
		return m_iData;
	}
private:
	int m_iData = 0;;
};




template<class ELE, class ResultType, ELE minEle, ELE maxEle>
class CLowUperr
{
public:
	CLowUperr(int iResutlCount) :m_iResutlCount(iResutlCount)
	{
	}
	void Init(const ELE* pLower, const ELE* pHigh, int iNum)
	{
		m_vPre.assign(4, vector<ResultType>(m_iResutlCount));
		if (iNum <= 0)
		{
			return;
		}
		InitPre(pLower, pHigh);
		iNum--;
		while (iNum--)
		{
			pLower++;
			pHigh++;
			vector<vector<ResultType>> dp(4, vector<ResultType>(m_iResutlCount));
			OnInitDP(dp);
			//处理非边界
			for (auto tmp = minEle; tmp <= maxEle; tmp++)
			{
				OnEnumOtherBit(dp[0], m_vPre[0], tmp);
			}
			//处理下边界
			OnEnumOtherBit(dp[1], m_vPre[1], *pLower);
			for (auto tmp = *pLower + 1; tmp <= maxEle; tmp++)
			{
				OnEnumOtherBit(dp[0], m_vPre[1], tmp);
			}
			//处理上边界
			OnEnumOtherBit(dp[2], m_vPre[2], *pHigh);
			for (auto tmp = minEle; tmp < *pHigh; tmp++)
			{
				OnEnumOtherBit(dp[0], m_vPre[2], tmp);
			}
			//处理上下边界
			if (*pLower == *pHigh)
			{
				OnEnumOtherBit(dp[3], m_vPre[3], *pLower);
			}
			else
			{
				OnEnumOtherBit(dp[1], m_vPre[3], *pLower);
				for (auto tmp = *pLower + 1; tmp < *pHigh; tmp++)
				{
					OnEnumOtherBit(dp[0], m_vPre[3], tmp);
				}
				OnEnumOtherBit(dp[2], m_vPre[3], *pHigh);
			}
			m_vPre.swap(dp);
		}
	}
	/*ResultType Total(int iMinIndex, int iMaxIndex)
	{
		ResultType ret;
		for (int status = 0; status < 4; status++)
		{
			for (int index = iMinIndex; index <= iMaxIndex; index++)
			{
				ret += m_vPre[status][index];
			}
		}
		return ret;
	}*/
protected:
	const int m_iResutlCount;
	void InitPre(const ELE* const pLower, const ELE* const pHigh)
	{
		for (ELE cur = *pLower; cur <= *pHigh; cur++)
		{
			int iStatus = 0;
			if (*pLower == cur)
			{
				iStatus = *pLower == *pHigh ? 3 : 1;
			}
			else if (*pHigh == cur)
			{
				iStatus = 2;
			}
			OnEnumFirstBit(m_vPre[iStatus], cur);
		}
	}

	virtual void OnEnumOtherBit(vector<ResultType>& dp, const vector<ResultType>& vPre, ELE curValue) = 0;

	virtual void OnEnumFirstBit(vector<ResultType>& vPre, const ELE curValue) = 0;
	virtual void OnInitDP(vector<vector<ResultType>>& dp)
	{

	}
	vector<vector<ResultType>> m_vPre;
};

class CCharLowerUper : public CLowUperr<char, C1097Int<>, 'a', 'z'>
{
public:
	CCharLowerUper(string evil):CLowUperr(evil.length())
	{
		m_evil = evil;
		m_vNext = KMP::Next(evil);
	}
	C1097Int<> Total()
	{
		return Total(0, m_iResutlCount - 1);
	}
	C1097Int<> Total(int iMinIndex, int iMaxIndex)
	{
		C1097Int<> ret = 0;
		for (int index = iMinIndex; index <= iMaxIndex; index++)
		{
			C1097Int<> cur = 0;
			for (int status = 0; status < 4; status++)
			{
				cur += m_vPre[status][index];
			}
			ret += cur;
		}
		return ret;
	}
protected:
	virtual void OnEnumFirstBit(vector< C1097Int<>>& vPre, const char curValue)
	{		
		const int mask = curValue == m_evil.front();
		if (mask < m_iResutlCount)
		{
			vPre[mask] += C1097Int<>(1);
		}
	}
	virtual void OnEnumOtherBit(vector< C1097Int<>>& dp, const vector< C1097Int<>>& vPre, char curValue)
	{
		for (int i = 0; i < m_iResutlCount; i++)
		{
			int next = i - 1;
			for (; (-1 != next) && (m_evil[next + 1] != curValue); next = m_vNext[next]);
			const int iNewLen = next + 1 + (m_evil[next + 1] == curValue);
			if (iNewLen < m_iResutlCount)
			{
				dp[iNewLen] += vPre[i];
			}
		}		
	}
	string m_evil;
	vector<int> m_vNext;
};

class Solution {
public:
	int findGoodStrings(int n, string s1, string s2, string evil) {
		C1097Int<> biRet = 0;
		const int len1 = s1.length();
		const int len2 = s2.length();
		if (len1 == len2)
		{
			CCharLowerUper lu(evil);
			lu.Init(s1.c_str(),s2.c_str(), len1);
			return lu.Total().ToInt();
		}
		{
			CCharLowerUper lu(evil);
			lu.Init(s1.c_str(), string(len1, 'z').c_str(), len1);
			biRet += lu.Total();
		}
		for (int i = len1+1; i < len2; i++)
		{
			CCharLowerUper lu(evil);
			lu.Init(string(i, 'a').c_str(), string(i, 'z').c_str(), i);
			biRet += lu.Total();
		}

		CCharLowerUper lu(evil);
		lu.Init(string(len2, 'a').c_str(), s2.c_str(), len2);
		biRet += lu.Total();
		return biRet.ToInt();
	}
};

测试用例

template<class T>
void Assert(const T& t1, const T& t2)
{
	assert(t1 == t2);
}

template<class T>
void Assert(const vector<T>& v1, const vector<T>& v2)
{
	if (v1.size() != v2.size())
	{
		assert(false);
		return;
	}
	for (int i = 0; i < v1.size(); i++)
	{
		Assert(v1[i], v2[i]);
	}

}

int main()
{	
	int n;
	string s1, s2,  evil;
	{
		Solution sln;
		n = 2, s1 = "aa", s2 = "da", evil = "b";
		auto res = sln.findGoodStrings(n, s1, s2, evil);
		Assert(51, res);
	}
	{
		Solution sln;
		n = 8, s1 = "leetcode", s2 = "leetgoes", evil = "leet";
		auto res = sln.findGoodStrings(n, s1, s2, evil);
		Assert(0, res);
	}
	{
		Solution sln;
		n = 2, s1 = "gx", s2 = "gz", evil = "x";
		auto res = sln.findGoodStrings(n, s1, s2, evil);
		Assert(2, res);
	}
	{
		Solution sln;
		n = 93, s1 = "kazxkmmctdgtrplfggliycskmbfzjkrsthahcrxaaylpdykqfyejwteexytvxgjrbviconioomfpznawsseisfcpfkuvx", 
			s2 = "lajtokckoizywvirjhccouuhjkkshdtzchzmiccujzpeqzcvfekdqjgrbkzrwfnfwhyvzrrrakiausbleeimmthaqqouh", evil = "kpvphwnkrtxuiuhb";
		auto res = sln.findGoodStrings(n, s1, s2, evil);
		Assert(982374807, res);
	}
}

2023年1月15

class C1097Int
{
public:
C1097Int(int iData = 0) :m_iData(iData)
{
}
C1097Int operator+(const C1097Int& o)const
{
return C1097Int((m_iData + o.m_iData) % s_iMod);
}
C1097Int& operator+=(const C1097Int& o)
{
m_iData = (m_iData + o.m_iData) % s_iMod;
return this;
}
C1097Int operator(const C1097Int& o)const
{
return((long long)m_iData o.m_iData) % s_iMod;
}
C1097Int& operator=(const C1097Int& o)
{
m_iData =((long long)m_iData *o.m_iData) % s_iMod;
return *this;
}
int ToInt()const
{
return m_iData;
}
private:
int m_iData = 0;;
static const int s_iMod = 1000000007;
};

int operator+(int iData, const C1097Int& int1097)
{
int iRet = int1097.operator+(C1097Int(iData)).ToInt();
return iRet;
}

int& operator+=(int& iData, const C1097Int& int1097)
{
iData = int1097.operator+(C1097Int(iData)).ToInt();
return iData;
}

template
void MinSelf(T* seft, const T& other)
{
*seft = min(*seft, other);
}

template
void MaxSelf(T* seft, const T& other)
{
*seft = max(*seft, other);
}

int GetNotRepeateNum(int len, int iHasSel)
{
if (0 == len)
{
return 1;
}
if ((0 == iHasSel) && (1 == len))
{
return 10;
}
int iRet = 1;
if (iHasSel > 0)
{
for (int tmp = 10 - iHasSel; (tmp >= 2)&& len ; tmp–,len–)
{
iRet *= tmp;
}
}
else
{
iRet *= 9;
len–;
for (int tmp=9; (tmp>=2)&&len; len–,tmp–)
{
iRet *= tmp;
}
}
return iRet;
}

class Solution {
public:
int findGoodStrings(int n, string s1, string s2, string evil) {
//next[j]表示evil 前j+1个字符，最长相等前后缀，如果某个字符串的尾部j+1个字符和evil的前 j+1 个字符相等，则…尾部next[j]和…next[j]个字符相等
vector next(evil.length(),-1);
for (int i = 1, j = -1; i < next.size(); i++)
{
while ((j>=0) && (evil[i] != evil[j+1]))
{
j = next[j];
}
if (evil[i] == evil[j+1 ])
{
j++;
}
next[i] = j;
}
vector<vector> pre;
pre.assign(4, vector(evil.length() + 1));
pre[3][0] = 1;
for (int i = 0; i < s1.length(); i++ )
{
vector<vector> dp(4, vector(evil.length() + 1));
const char& charLow = s1[i];
const char& charUp = s2[i];
const bool bEqualRange = charLow == charUp;
for (int j = 0; j < evil.length(); j++)
{
for (char chCur = ‘a’; chCur <= ‘z’; chCur++)
{
int iNewEndLen = j;
while (iNewEndLen && (evil[iNewEndLen ] != chCur))
{
iNewEndLen = next[iNewEndLen-1]+1;
}
if (evil[iNewEndLen] == chCur)
{
iNewEndLen++;
}
dp[0][iNewEndLen] += pre[0][j];
//前一个字符卡下限
if (chCur > charLow)
{
dp[0][iNewEndLen] += pre[1][j];
}
else if (charLow == chCur)
{
dp[1][iNewEndLen] += pre[1][j];
}
//前一个字符卡上限
if (chCur < charUp)
{
dp[0][iNewEndLen] += pre[2][j];
}
else if (charUp == chCur)
{
dp[2][iNewEndLen] += pre[2][j];
}
//前一个字符串卡上下限
if ((charUp > chCur) && (charLow < chCur))
{
dp[0][iNewEndLen] += pre[3][j];
}
else if (bEqualRange)
{
if (charUp == chCur)
{
dp[3][iNewEndLen] += pre[3][j];
}
}
else
{
if (charUp == chCur)
{
dp[2][iNewEndLen] += pre[3][j];
}
if (charLow == chCur)
{
dp[1][iNewEndLen] += pre[3][j];
}
}
}
}
pre.swap(dp);
}
C1097Int sum;
for (int i = 0; i < 4; i++)
{
sum += std::accumulate(pre[i].begin(), pre[i].end() - 1, C1097Int());
}
return sum.ToInt();
}
};

2023年1月第二版

class C1097Int
{
public:
C1097Int(int iData = 0) :m_iData(iData)
{

 }
 C1097Int  operator+(const C1097Int& o)const
 {
	 return C1097Int((m_iData + o.m_iData) % s_iMod);
 }
 C1097Int&  operator+=(const C1097Int& o)
 {
	 m_iData = (m_iData + o.m_iData) % s_iMod;
	 return *this;
 }
 C1097Int  operator*(const C1097Int& o)const
 {
	 return((long long)m_iData *o.m_iData) % s_iMod;
 }
 C1097Int&  operator*=(const C1097Int& o)
 {
	m_iData =((long long)m_iData *o.m_iData) % s_iMod;
	 return *this;
 }
 int ToInt()const
 {
	 return m_iData;
 }

private:
int m_iData = 0;;
static const int s_iMod = 1000000007;
};

int operator+(int iData, const C1097Int& int1097)
{
int iRet = int1097.operator+(C1097Int(iData)).ToInt();
return iRet;
}

int& operator+=(int& iData, const C1097Int& int1097)
{
iData = int1097.operator+(C1097Int(iData)).ToInt();
return iData;
}

template
void MinSelf(T* seft, const T& other)
{
*seft = min(*seft, other);
}

template
void MaxSelf(T* seft, const T& other)
{
*seft = max(*seft, other);
}

class Solution {
public:
int findGoodStrings(int n, string s1, string s2, string evil) {
//next[j]表示evil 前j+1个字符，最长相等前后缀，前后缀不能是本身
//如果某个字符串的尾部j+1个字符和evil的前 j+1 个字符相等，则…尾部next[j]和…next[j]个字符相等
vector next(evil.length());
for (int i = 1, j = 0; i < next.size(); i++)
{
while ( j && (evil[i] != evil[j]))
{
j = next[j-1];
}
if (evil[i] == evil[j])
{
j++;
}
next[i] = j;
}
vector<vector> pre;
pre.assign(4, vector(evil.length() + 1));
pre[3][0] = 1;
for (int i = 0; i < s1.length(); i++ )
{
vector<vector> dp(4, vector(evil.length() + 1));
const char& charLow = s1[i];
const char& charUp = s2[i];
const bool bEqualRange = charLow == charUp;
for (int j = 0; j < evil.length(); j++)
{
for (char chCur = ‘a’; chCur <= ‘z’; chCur++)
{
int iNewEndLen = j;
while (iNewEndLen && (evil[iNewEndLen ] != chCur))
{
iNewEndLen = next[iNewEndLen-1];
}
if (evil[iNewEndLen] == chCur)
{
iNewEndLen++;
}
dp[0][iNewEndLen] += pre[0][j];
//前一个字符卡下限
if (chCur > charLow)
{
dp[0][iNewEndLen] += pre[1][j];
}
else if (charLow == chCur)
{
dp[1][iNewEndLen] += pre[1][j];
}
//前一个字符卡上限
if (chCur < charUp)
{
dp[0][iNewEndLen] += pre[2][j];
}
else if (charUp == chCur)
{
dp[2][iNewEndLen] += pre[2][j];
}
//前一个字符串卡上下限
if ((charUp > chCur) && (charLow < chCur))
{
dp[0][iNewEndLen] += pre[3][j];
}
else if (bEqualRange)
{
if (charUp == chCur)
{
dp[3][iNewEndLen] += pre[3][j];
}
}
else
{
if (charUp == chCur)
{
dp[2][iNewEndLen] += pre[3][j];
}
if (charLow == chCur)
{
dp[1][iNewEndLen] += pre[3][j];
}
}
}
}
pre.swap(dp);
}
C1097Int sum;
for (int i = 0; i < 4; i++)
{
sum += std::accumulate(pre[i].begin(), pre[i].end() - 1, C1097Int());
}
return sum.ToInt();
}
};

2023年9月

using namespace std;

template
void OutToConsoleInner(const vector& vec, const string& strSep = " ")
{
for (int i = 0; i < vec.size(); i++)
{
if (0 != i % 25)
{
std::cout << strSep.c_str();
}
std::cout << setw(3) << setfill(’ ') << vec[i];
if (0 == (i + 1) % 25)
{
std::cout << std::endl;
}
else if (0 == (i + 1) % 5)
{
std::cout << strSep.c_str();
}
}
}

class CConsole
{
public:

template<class ELE>
static void Out(const vector<ELE>& vec, const string& strColSep = " ", const string& strRowSep = "\r\n")
{
	OutToConsoleInner(vec, strColSep);
	std::cout << strRowSep.c_str();
}

template<class ELE>
static void Out(const vector<vector<ELE>>& matrix, const string& strColSep = " ", const string& strRowSep = "\r\n")
{
	for (int i = 0; i < matrix.size(); i++)
	{
		OutToConsoleInner(matrix[i], strColSep);
		std::cout << strRowSep.c_str();
	}
}

template<class ELE>
static void Out(const std::map<ELE, std::vector<int> >& mTopPointToPoints, const string& strColSep = " ", const string& strRowSep = "\r\n")
{
	for (auto kv : mTopPointToPoints)
	{
		std::cout << kv.first << ":";
		OutToConsoleInner(kv.second, strColSep);
		std::cout << strRowSep.c_str();
	}
}


static void Out(const  std::string& t, const string& strColSep = " ", const string& strRowSep = "\r\n")
{
	std::cout << t.c_str() << strColSep.c_str();
}

template<class ELE  >
static void Out(const ELE& t, const string& strColSep = " ", const string& strRowSep = "\r\n")
{
	std::cout << t << strColSep.c_str();
}

};

void GenetateSum(vector& sums, const vector& nums)
{
sums.push_back(0);
for (int i = 0; i < nums.size(); i++)
{
sums.push_back(nums[i] + sums[i]);
}
}

//[iBegin，iEnd]之和
long long Total(int iBegin, int iEnd)
{
return (long long)(iBegin + iEnd) * (iEnd - iBegin + 1) / 2;
}

class CLadderhlp
{
public:
CLadderhlp(int ladders)
{
m_uLadderNum = ladders;
}
void AddNeedBick(int iNeedBick)
{
if (0 == m_uLadderNum)
{
return;
}
if (m_ladders.size() < m_uLadderNum)
{
m_ladders.push(iNeedBick);
m_iEaqualBicks += iNeedBick;
return;
}
int iTop = m_ladders.top();
if (iTop >= iNeedBick)
{
return;
}
m_iEaqualBicks -= iTop;
m_iEaqualBicks += iNeedBick;
m_ladders.pop();
m_ladders.push(iNeedBick);
}
std::priority_queue<int, vector, std::greater > m_ladders;
unsigned int m_uLadderNum;
long long m_iEaqualBicks = 0;
};

struct CPeo
{
CPeo(string strName, CPeo* pParent = nullptr)
{
m_strName = strName;
m_pParent = pParent;
}
string m_strName;
vector<CPeo*> m_childs;
CPeo* m_pParent = nullptr;
};

//通过 x &= (x-1)实现
int bitcount(unsigned x) {
int countx = 0;
while (x) {
countx++;
x &= (x - 1);
}
return countx;
}

int bitcount(unsigned long long x) {
int countx = 0;
while (x) {
countx++;
x &= (x - 1);
}
return countx;
}

class CRange
{
public:
template
CRange(const ELE& v)
{
m_iBegin = 0;
m_iEnd = v.size();
}
bool In(int iIndex)
{
return (iIndex >= m_iBegin) && (iIndex < m_iEnd);
}
const int End()
{
return m_iEnd;
}
protected:
int m_iBegin;
int m_iEnd;
};

template<class TData, TData defData,int iTypeNum = 26, char cBegin = ‘a’>
class CTrie
{
public:
CTrie()
{

}
template<class IT>
CTrie* Add(IT begin, IT end)
{
	CTrie* pNode = this;
	for (; begin != end; ++begin)
	{
		pNode = pNode->AddChar(*begin);
	}
	return pNode;
}
template<class IT>
CTrie* Search(IT begin, IT end)
{
	if (begin == end)
	{
		return this;
	}

	if ('.' == *begin)
	{
		for (auto& ptr : m_vPChilds)
		{
			if (!ptr)
			{
				continue;
			}
			auto pSearch = ptr->Search(begin + 1, end);
			if (pSearch)
			{
				return pSearch;
			}
		}
		return nullptr;
	}

	auto ptr = GetChild(*begin);
	if (nullptr == ptr)
	{
		return nullptr;
	}
	return ptr->Search(begin + 1, end);
}
TData m_data = defData;

CTrie* AddChar(char ch)
{
	if ((ch < cBegin) || (ch >= cBegin + iTypeNum))
	{
		return nullptr;
	}
	const int index = ch - cBegin;
	auto ptr = m_vPChilds[index];
	if (!ptr)
	{
		m_vPChilds[index] = new CTrie();
	}
	return m_vPChilds[index];
}

CTrie* GetChild(char ch)const
{
	if ((ch < cBegin) || (ch >= cBegin + iTypeNum))
	{
		return nullptr;
	}
	return m_vPChilds[ch - cBegin];
}

protected:
CTrie* m_vPChilds[iTypeNum] = { nullptr };
};

class CWords
{
public:
void Add(const string& word)
{
m_strStrs.insert(word);
}
bool Search(const string& word)
{
return Search(m_strStrs.begin(), m_strStrs.end(), 0, word.length(), word);
}
protected:
bool Search(std::set::const_iterator begin, std::set::const_iterator end, int iStrBegin, int iStrEnd, const string& str)
{
int i = iStrBegin;
for (; (i < iStrEnd) && (str[i] != ‘.’); i++);
auto it = std::equal_range(begin, end, str, [&iStrBegin, &i](const string& s, const string& sFind)
{
return s.substr(iStrBegin, i - iStrBegin) < sFind.substr(iStrBegin, i - iStrBegin);
});
if (i == iStrBegin)
{
it.first = begin;
it.second = end;
}
if (it.first == it.second)
{
return false;
}
if (i == iStrEnd)
{
return true;
}
if (i + 1 == iStrEnd)
{
return true;
}
string tmp = str;
for (char ch = ‘a’; ch <= ‘z’; ch++)
{
tmp[i] = ch;
auto ij = std::equal_range(it.first, it.second, tmp, [&ch, &i](const string& s, const string& sFind)
{
return s[i] < sFind[i];
});
if (ij.first == ij.second)
{
continue;
}

		if (Search(ij.first, ij.second, i + 1, iStrEnd, str))
		{
			return true;
		}
	}
	return false;
}

std::set<string> m_strStrs;

};
class WordDictionary {
public:
WordDictionary() {
for (int i = 0; i < 26; i++)
{
m_str[i] = std::make_unique();
}
}

void addWord(string word) {
	m_str[word.length()]->Add(word);
}

bool search(string word) {
	return m_str[word.length()]->Search(word);
}
std::unique_ptr<CWords> m_str[26];

};

template
class C1097Int
{
public:
C1097Int(long long llData = 0) :m_iData(llData% MOD)
{

}
C1097Int  operator+(const C1097Int& o)const
{
	return C1097Int(((long long)m_iData + o.m_iData) % MOD);
}
C1097Int& operator+=(const C1097Int& o)
{
	m_iData = ((long long)m_iData + o.m_iData) % MOD;
	return *this;
}
C1097Int& operator-=(const C1097Int& o)
{
	m_iData = (m_iData + MOD - o.m_iData) % MOD;
	return *this;
}
C1097Int  operator-(const C1097Int& o)
{
	return C1097Int((m_iData + MOD - o.m_iData) % MOD);
}
C1097Int  operator*(const C1097Int& o)const
{
	return((long long)m_iData * o.m_iData) % MOD;
}
C1097Int& operator*=(const C1097Int& o)
{
	m_iData = ((long long)m_iData * o.m_iData) % MOD;
	return *this;
}
bool operator<(const C1097Int& o)const
{
	return m_iData < o.m_iData;
}
C1097Int pow(int n)const
{
	C1097Int iRet = 1, iCur = *this;
	while (n)
	{
		if (n & 1)
		{
			iRet *= iCur;
		}
		iCur *= iCur;
		n >>= 1;
	}
	return iRet;
}
C1097Int PowNegative1()const
{
	return pow(MOD - 2);
}
int ToInt()const
{
	return m_iData;
}

private:
int m_iData = 0;;
};

template
int operator+(int iData, const C1097Int& int1097)
{
int iRet = int1097.operator+(C1097Int(iData)).ToInt();
return iRet;
}

template
int& operator+=(int& iData, const C1097Int& int1097)
{
iData = int1097.operator+(C1097Int(iData)).ToInt();
return iData;
}

template
int operator*(int iData, const C1097Int& int1097)
{
int iRet = int1097.operator*(C1097Int(iData)).ToInt();
return iRet;
}

template
int& operator*=(int& iData, const C1097Int& int1097)
{
iData = int1097.operator*(C1097Int(iData)).ToInt();
return iData;
}

template
void MinSelf(ELE* seft, const ELE& other)
{
*seft = min(*seft, other);
}

template
void MaxSelf(ELE* seft, const ELE& other)
{
*seft = max(*seft, other);
}

int GetNotRepeateNum(int len, int iHasSel)
{
if (0 == len)
{
return 1;
}
if ((0 == iHasSel) && (1 == len))
{
return 10;
}
int iRet = 1;
if (iHasSel > 0)
{
for (int tmp = 10 - iHasSel; (tmp >= 2) && len; tmp–, len–)
{
iRet *= tmp;
}
}
else
{
iRet *= 9;
len–;
for (int tmp = 9; (tmp >= 2) && len; len–, tmp–)
{
iRet *= tmp;
}
}
return iRet;
}

int GCD(int n1, int n2)
{
int t1 = min(n1, n2);
int t2 = max(n1, n2);
if (0 == t1)
{
return t2;
}
return GCD(t2 % t1, t1);
}

void CreateMaskVector(vector& v, const int* const p, int n)
{
const int iMaxMaskNum = 1 << n;
v.resize(iMaxMaskNum);
for (int i = 0; i < n; i++)
{
v[1 << i] = p[i];
}
for (int mask = 1; mask < iMaxMaskNum; mask++)
{
const int iSubMask = mask & (-mask);
v[mask] = v[iSubMask] + v[mask - iSubMask];
}
}

class CMaxLineTree
{
public:
CMaxLineTree(int iArrSize) :m_iArrSize(iArrSize), m_vData(iArrSize * 4)
{

}
//iIndex 从0开始
void Modify(int iIndex, int iValue)
{
	Modify(1, 1, m_iArrSize, iIndex + 1, iValue);
}
//iNeedQueryLeft iNeedQueryRight 从0开始
int Query(const int iNeedQueryLeft, const int iNeedQueryRight)
{
	return Query(1, 1, m_iArrSize, iNeedQueryLeft + 1, iNeedQueryRight + 1);
}
//返回第一个大于等于iMax的节点索引，没有大于等于iMax，则返回-1
int GetFirstMaxIndex(int iMax)
{
	int iNO = 1;
	if (m_vData[1] < iMax)
	{
		return -1;
	}
	int left = 1, r = m_iArrSize;
	while (r > left)
	{
		const int mid = (left + r) / 2;
		if (m_vData[iNO * 2] < iMax)
		{
			iNO = iNO * 2 + 1;
			left = mid + 1;
		}
		else
		{
			iNO *= 2;
			r = mid;
		}
	}
	return r - 1;
}

protected:
int Query(const int iTreeNodeIndex, const int iRecordLeft, const int iRecordRight, const int iNeedQueryLeft, const int iNeedQueryRight)
{
if ((iNeedQueryLeft <= iRecordLeft) && (iNeedQueryRight >= iRecordRight))
{
return m_vData[iTreeNodeIndex];
}
const int iMid = (iRecordLeft + iRecordRight) / 2;
int iRet = 0;
if (iNeedQueryLeft <= iMid)
{
iRet = Query(iTreeNodeIndex * 2, iRecordLeft, iMid, iNeedQueryLeft, iNeedQueryRight);
}
if (iNeedQueryRight > iMid)
{
iRet = max(iRet, Query(iTreeNodeIndex * 2 + 1, iMid + 1, iRecordRight, iNeedQueryLeft, iNeedQueryRight));
}
return iRet;
}
void Modify(int iTreeNodeIndex, int iLeft, int iRight, int iIndex, int iValue)
{
if (iLeft == iRight)
{
m_vData[iTreeNodeIndex] = iValue;
return;
}
const int iMid = (iLeft + iRight) / 2;
if (iIndex <= iMid)
{
Modify(iTreeNodeIndex * 2, iLeft, iMid, iIndex, iValue);
}
else
{
Modify(iTreeNodeIndex * 2 + 1, iMid + 1, iRight, iIndex, iValue);
}
m_vData[iTreeNodeIndex] = max(m_vData[iTreeNodeIndex * 2], m_vData[iTreeNodeIndex * 2 + 1]);
}
const int m_iArrSize;
std::vector m_vData;
};

class CMaxLineTreeMap
{
public:
CMaxLineTreeMap(int iArrSize) :m_iArrSize(iArrSize)
{

}
//iIndex 从0开始
void Modify(int iIndex, int iValue)
{
	Modify(1, 1, m_iArrSize, iIndex + 1, iValue);
}
//iNeedQueryLeft iNeedQueryRight 从0开始
int Query(const int iNeedQueryLeft, const int iNeedQueryRight)
{
	return Query(1, 1, m_iArrSize, iNeedQueryLeft + 1, iNeedQueryRight + 1);
}

protected:
int Query(const int iTreeNodeIndex, const int iRecordLeft, const int iRecordRight, const int iNeedQueryLeft, const int iNeedQueryRight)
{
if ((iNeedQueryLeft <= iRecordLeft) && (iNeedQueryRight >= iRecordRight))
{
return m_mData[iTreeNodeIndex];
}
const int iMid = (iRecordLeft + iRecordRight) / 2;
int iRet = 0;
if (iNeedQueryLeft <= iMid)
{
iRet = Query(iTreeNodeIndex * 2, iRecordLeft, iMid, iNeedQueryLeft, iNeedQueryRight);
}
if (iNeedQueryRight > iMid)
{
iRet = max(iRet, Query(iTreeNodeIndex * 2 + 1, iMid + 1, iRecordRight, iNeedQueryLeft, iNeedQueryRight));
}
return iRet;
}
void Modify(int iTreeNodeIndex, int iLeft, int iRight, int iIndex, int iValue)
{
if (iLeft == iRight)
{
m_mData[iTreeNodeIndex] = iValue;
return;
}
const int iMid = (iLeft + iRight) / 2;
if (iIndex <= iMid)
{
Modify(iTreeNodeIndex * 2, iLeft, iMid, iIndex, iValue);
}
else
{
Modify(iTreeNodeIndex * 2 + 1, iMid + 1, iRight, iIndex, iValue);
}
m_mData[iTreeNodeIndex] = max(m_mData[iTreeNodeIndex * 2], m_mData[iTreeNodeIndex * 2 + 1]);
}
const int m_iArrSize;
std::unordered_map<int, int> m_mData;
};

template
class CSumLineTree
{
public:
CSumLineTree(int iEleSize) :m_iEleSize(iEleSize), m_vArr(m_iEleSize * 4), m_vChildAdd(m_iEleSize * 4)
{

}
void Add(int iLeftIndex, int iRightIndex, int iValue)
{
	Add(1, 1, m_iEleSize, iLeftIndex + 1, iRightIndex + 1, iValue);
}
ELE Query(int iLeftIndex, int iRightIndex)
{
	return Query(1, 1, m_iEleSize, iLeftIndex + 1, iRightIndex + 1);
}

private:
ELE Query(int iNode, int iDataLeft, int iDataRight, int iOpeLeft, int iOpeRight)
{
if ((iOpeLeft <= iDataLeft) && (iOpeRight >= iDataRight))
{
return m_vArr[iNode];
}
Fresh(iNode, iDataLeft, iDataRight);
const int iMid = iDataLeft + (iDataRight - iDataLeft) / 2;
ELE ret(0);
if (iMid >= iOpeLeft)
{
ret += Query(iNode * 2, iDataLeft, iMid, iOpeLeft, iOpeRight);
}
if (iMid + 1 <= iOpeRight)
{
ret += Query(iNode * 2 + 1, iMid + 1, iDataRight, iOpeLeft, iOpeRight);
}
return ret;
}
/* 暴力解法
void Add(int iNode, int iDataLeft, int iDataRight, int iOpeLeft, int iOpeRight, int iValue)
{
m_vArr[iNode] += T(iValue)*(min(iDataRight, iOpeRight) - max(iDataLeft, iOpeLeft)+1);
if (iDataLeft == iDataRight)
{
return;
}
const int iMid = iDataLeft + (iDataRight - iDataLeft) / 2;
if (iMid >= iOpeLeft)
{
Add(iNode * 2, iDataLeft, iMid, iOpeLeft, iOpeRight, iValue);
}
if (iMid + 1 <= iOpeRight)
{
Add(iNode * 2 + 1, iMid + 1, iDataRight, iOpeLeft, iOpeRight, iValue);
}
}
*/
void Fresh(int iNode, int iDataLeft, int iDataRight)
{
const int iMid = iDataLeft + (iDataRight - iDataLeft) / 2;
if (m_vChildAdd[iNode] != 0)
{
Add(iNode * 2, iDataLeft, iMid, iDataLeft, iMid, m_vChildAdd[iNode]);
Add(iNode * 2 + 1, iMid + 1, iDataRight, iMid + 1, iDataRight, m_vChildAdd[iNode]);
m_vChildAdd[iNode] = 0;
}
}
//懒惰法
void Add(int iNode, int iDataLeft, int iDataRight, int iOpeLeft, int iOpeRight, int iValue)
{
m_vArr[iNode] += ELE(iValue) * (min(iDataRight, iOpeRight) - max(iDataLeft, iOpeLeft) + 1);
if ((iOpeLeft <= iDataLeft) && (iOpeRight >= iDataRight))
{
m_vChildAdd[iNode] += ELE(iValue);
return;
}

	Fresh(iNode, iDataLeft, iDataRight);
	const int iMid = iDataLeft + (iDataRight - iDataLeft) / 2;
	if (iMid >= iOpeLeft)
	{
		Add(iNode * 2, iDataLeft, iMid, iOpeLeft, iOpeRight, iValue);
	}
	if (iMid + 1 <= iOpeRight)
	{
		Add(iNode * 2 + 1, iMid + 1, iDataRight, iOpeLeft, iOpeRight, iValue);
	}
}

const int m_iEleSize;
vector<ELE> m_vArr;
vector<int> m_vChildAdd;

};

template
class CTreeArr
{
public:
CTreeArr(int iSize) :m_vData(iSize + 1)
{

}
void Add(int index, ELE value)
{
	index++;
	while (index < m_vData.size())
	{
		m_vData[index] += value;
		index += index & (-index);
	}
}
ELE Sum(int index)
{
	index++;
	ELE ret = 0;
	while (index)
	{
		ret += m_vData[index];
		index -= index & (-index);
	}
	return ret;
}
ELE Get(int index)
{
	return Sum(index) - Sum(index - 1);
}

private:
vector m_vData;
};

//iCodeNum 必须大于等于可能的字符数
template
class CHashStr {
public:
CHashStr(string s, int iCodeNum, int iCodeBegin = 1, char chBegin = ‘a’) {
m_c = s.length();
m_vP.resize(m_c + 1);
m_vP[0] = 1;
m_vHash.resize(m_c + 1);
for (int i = 0; i < m_c; i++)
{
const int P = iCodeBegin + iCodeNum;
m_vHash[i + 1] = m_vHash[i] * P + s[i] - chBegin + iCodeBegin;
m_vP[i + 1] = m_vP[i] * P;
}
}
//iMinValue将被编码为0,iMaxValue被编码为iMaxValue-iMinValue。
CHashStr(const int* data,int len, int iMinValue = 0, int iMaxValue = 9 ) {
m_c = len;
m_vP.resize(m_c + 1);
m_vP[0] = 1;
m_vHash.resize(m_c + 1);
const int P = iMaxValue - iMinValue + 1;
for (int i = 0; i < m_c; i++)
{
const int iCurCode = data[i] - iMinValue;
assert((iCurCode >= 0) && (iCurCode < P));
m_vHash[i + 1] = m_vHash[i] * P + iCurCode;
m_vP[i + 1] = m_vP[i] * P;
}
}
//包括left right
int GetHash(int left, int right)
{
return (m_vHash[right + 1] - m_vHash[left] * m_vP[right - left + 1]).ToInt();
}
inline int GetHash(int right)
{
return m_vHash[right + 1].ToInt();
}
int GetHashExincludeRight(int left, int right)
{
return (m_vHash[right ] - m_vHash[left] * m_vP[right - left ]).ToInt();
}
inline int GetHashExincludeRight(int right)
{
return m_vHash[right].ToInt();
}
int m_c;
vector<C1097Int> m_vP;
vector<C1097Int> m_vHash;
};

template
class C2HashStr
{
public:
C2HashStr(string s) {
m_pHash1 = std::make_unique<CHashStr<>>(s, 26);
m_pHash2 = std::make_unique < CHashStr>(s, 27, 0);
}
C2HashStr(const int* data, int len, int iMinValue = 0, int iMaxValue = 9)
{
m_pHash1 = std::make_unique<CHashStr<>>(data, len, iMinValue, iMaxValue);
m_pHash2 = std::make_unique < CHashStr>(data, len, iMinValue, iMaxValue);
}
//包括left right
long long GetHash(int left, int right)
{
return (long long)m_pHash1->GetHash(left, right) * (MOD2 + 1) + m_pHash2->GetHash(left, right);
}
long long GetHash(int right)
{
return (long long)m_pHash1->GetHash(right) * (MOD2 + 1) + m_pHash2->GetHash(right);
}
//包括Left，不包括Right
long long GetHashExincludeRight(int left, int right)
{
return (long long)m_pHash1->GetHashExincludeRight(left, right) * (MOD2 + 1) + m_pHash2->GetHashExincludeRight(left, right);
}
long long GetHashExincludeRight(int right)
{
return (long long)m_pHash1->GetHashExincludeRight(right) * (MOD2 + 1) + m_pHash2->GetHashExincludeRight(right);
}
private:
std::unique_ptr<CHashStr<>> m_pHash1;
std::unique_ptr<CHashStr> m_pHash2;
};

template
class CDynaHashStr {
public:
CDynaHashStr(int iCodeNum, int iCodeBegin = 1, char chBegin = ‘a’) :m_iUnit(iCodeNum + iCodeBegin), m_iP(1), m_iBegin(iCodeBegin - chBegin)
{

}
inline void push_back(const char& ch)
{
	const int iNum = ch + m_iBegin;
	m_iHash *= m_iUnit;
	m_iHash += iNum;
	m_iP *= m_iUnit;
}
inline void push_front(const char& ch)
{
	const int iNum = ch + m_iBegin;
	m_iHash += m_iP * iNum;
	m_iP *= m_iUnit;
}
inline int GetHash() const
{
	return m_iHash;
}
const int m_iUnit;
const int m_iBegin;
C1097Int<MOD> m_iHash;
C1097Int<MOD> m_iP;

};

template
class C2DynaHashStr {
public:
C2DynaHashStr(int iCodeNum, int iCodeBegin = 1, char chBegin = ‘a’)
{
m_pHash1 = new CDynaHashStr<>(iCodeNum, iCodeBegin, chBegin);
m_pHash2 = new CDynaHashStr(iCodeNum, iCodeBegin, chBegin);
}
~C2DynaHashStr()
{
delete m_pHash1;
delete m_pHash2;
}
inline void push_back(const char& ch)
{
m_pHash1->push_back(ch);
m_pHash2->push_back(ch);
}
inline void push_front(const char& ch)
{
m_pHash1->push_front(ch);
m_pHash2->push_front(ch);
}
long long Hash()const
{
return (long long)MOD2 * m_pHash1->m_iHash.ToInt() + m_pHash2->m_iHash.ToInt();
}
bool operator==(const C2DynaHashStr& other) const
{
return (m_pHash1->m_iHash.ToInt() == other.m_pHash1->m_iHash.ToInt()) && (m_pHash2->m_iHash.ToInt() == other.m_pHash2->m_iHash.ToInt());
}
CDynaHashStr<>* m_pHash1;
CDynaHashStr* m_pHash2;
};
namespace NSort
{
template
bool SortVecVec(const vector& v1, const vector& v2)
{
return v1[ArrIndex] < v2[ArrIndex];
};

template<class T >
void ShellSort(vector<T>& v)
{
	T tMax = *std::max_element(v.begin(), v.end());
	T exp = 1;
	while (tMax >= exp)
	{
		int vNums[10] = { 0 };
		for (const auto& n : v)
		{
			vNums[n / exp % 10]++;
		}
		int indexs[10] = { 0 };
		for (int i = 1; i < 10; i++)
		{
			indexs[i] = vNums[i - 1] + indexs[i-1];
		}
		vector<T> tmp(v.size());
		for (const auto& n : v)
		{
			const int cur = n / exp % 10;
			tmp[indexs[cur]] = n;
			indexs[cur]++;
		}
		v.swap(tmp);
		exp *= 10;
	}
}

template<class T,class _Pr = less<T> >
void MergeSort(vector<T>& v, const vector<T>& v1, const vector<T>& v2)
{
	int i1 = 0, i2 = 0;
	while ((i1 < v1.size()) && (i2 < v2.size()))
	{
		if (std::less()(v1[i1], v2[i2]))
		{
			v.emplace_back(v1[i1++]);
		}
		else
		{
			v.emplace_back(v2[i2++]);
		}
	}
	while (i1 < v1.size())
	{
		v.emplace_back(v1[i1++]);
	}
	while (i2 < v2.size())
	{
		v.emplace_back(v2[i2++]);
	}
}

}

namespace NCmp
{
template
bool Less(const std::pair<Class1, int>& p, Class1 iData)
{
return p.first < iData;
}

template<class Class1>
bool  Greater(const std::pair<Class1, int>& p, Class1 iData)
{
	return p.first > iData;
}

template<class _Ty1, class _Ty2>
class CLessPair
{
public:
	bool operator()(const std::pair<_Ty1, _Ty2>& p1, const std::pair<_Ty1, _Ty2>& p2)const
	{
		return p1.first < p2.first;
	}
};

template<class _Ty1, class _Ty2>
class CGreatePair
{
public:
	bool operator()(const std::pair<_Ty1, _Ty2>& p1, const std::pair<_Ty1, _Ty2>& p2)const
	{
		return p1.first > p2.first;
	}
};

}

class CIndexVector
{
public:
template
CIndexVector(vector& data)
{
for (int i = 0; i < data.size(); i++)
{
m_indexs.emplace_back(i);
}
std::sort(m_indexs.begin(), m_indexs.end(), [data](const int& i1, const int& i2)
{
return data[i1] < data[i2];
});
}
int GetIndex(int index)
{
return m_indexs[index];
}
private:
vector m_indexs;
};

class CMedian
{
public:
void AddNum(int iNum)
{
m_queTopMin.emplace(iNum);
MakeNumValid();
MakeSmallBig();
}
void Remove(int iNum)
{
if (m_queTopMax.size() && (iNum <= m_queTopMax.top()))
{
m_setTopMaxDel.insert(iNum);
}
else
{
m_setTopMinDel.insert(iNum);
}

	PopIsTopIsDel(m_queTopMin, m_setTopMinDel);
	PopIsTopIsDel(m_queTopMax, m_setTopMaxDel);
	MakeNumValid();
	MakeSmallBig();
}
double Median()
{
	const int iMaxNum = m_queTopMin.size() - m_setTopMinDel.size();
	const int iMinNum = m_queTopMax.size() - m_setTopMaxDel.size();
	if (iMaxNum > iMinNum)
	{
		return m_queTopMin.top();
	}
	return ((double)m_queTopMin.top() + m_queTopMax.top()) / 2.0;
}
template<class ELE>
void PopIsTopIsDel(ELE& que, std::unordered_multiset<int>& setTopMaxDel)
{
	while (que.size() && (setTopMaxDel.count(que.top())))
	{
		setTopMaxDel.erase(setTopMaxDel.find(que.top()));
		que.pop();
	}
}
void MakeNumValid()
{
	const int iMaxNum = m_queTopMin.size() - m_setTopMinDel.size();
	const int iMinNum = m_queTopMax.size() - m_setTopMaxDel.size();
	//确保两个队的数量
	if (iMaxNum > iMinNum + 1)
	{
		int tmp = m_queTopMin.top();
		m_queTopMin.pop();
		m_queTopMax.emplace(tmp);
		PopIsTopIsDel(m_queTopMin, m_setTopMinDel);
	}
	if (iMinNum > iMaxNum)
	{
		int tmp = m_queTopMax.top();
		m_queTopMax.pop();
		m_queTopMin.push(tmp);
		PopIsTopIsDel(m_queTopMax, m_setTopMaxDel);
	}
}
void MakeSmallBig()
{
	if (m_queTopMin.empty() || m_queTopMax.empty())
	{
		return;
	}
	while (m_queTopMin.top() < m_queTopMax.top())
	{
		const int iOldTopMin = m_queTopMin.top();
		const int iOldTopMax = m_queTopMax.top();
		m_queTopMin.pop();
		m_queTopMax.pop();
		m_queTopMin.emplace(iOldTopMax);
		m_queTopMax.emplace(iOldTopMin);
		PopIsTopIsDel(m_queTopMin, m_setTopMinDel);
		PopIsTopIsDel(m_queTopMax, m_setTopMaxDel);
	}
}
std::priority_queue<int> m_queTopMax;
std::priority_queue<int, vector<int>, greater<int>> m_queTopMin;
std::unordered_multiset<int> m_setTopMaxDel, m_setTopMinDel;

};

template
class CDistanceGrid
{
public:
CDistanceGrid(const vector<vector>& grid) :m_grid(grid), m_r(grid.size()), m_c(grid[0].size())
{

}
//单源路径 D 算法 ,时间复杂度:r*c*log(r*c)
inline int Dis(int r1, int c1, int r2, int c2)
{
	vector<vector<int>> vDis(iMaxRow, vector<int>(iMaxCol, INT_MAX));

	auto Add = [&vDis, this](std::priority_queue<pair<int, int>, vector<std::pair<int, int>>, greater<pair<int, int>>>& queCur, int iDis, int r, int c)
	{
		const int iRowColMask = iMaxCol * r + c;
		if (iDis >= vDis[r][c])
		{
			return;
		}
		queCur.emplace(iDis, iRowColMask);
		vDis[r][c] = iDis;
	};
	auto Move = [&](std::priority_queue<pair<int, int>, vector<std::pair<int, int>>, greater<pair<int, int>>>& queCur, int iDis, int r, int c)
	{
		if ((r < 0) || (r >= m_r))
		{
			return;
		}
		if ((c < 0) || (c >= m_c))
		{
			return;
		}
		if (m_grid[r][c] < 1)
		{
			return;
		}
		Add(queCur, iDis, r, c);
	};

	std::priority_queue<pair<int, int>, vector<std::pair<int, int>>, greater<pair<int, int>>> que;
	Add(que, 0, r1, c1);
	while (que.size())
	{
		const int iDis = que.top().first;
		const int iStart = que.top().second;
		que.pop();
		const int r = iStart / iMaxCol;
		const int c = iStart % iMaxCol;
		if ((r == r2) && (c == c2))
		{
			return iDis;
		}
		if (iDis > vDis[r][c])
		{
			continue;
		}

		Move(que, iDis + 1, r + 1, c);
		Move(que, iDis + 1, r - 1, c);
		Move(que, iDis + 1, r, c + 1);
		Move(que, iDis + 1, r, c - 1);
	}

	return -1;
}

private:
virtual bool IsCanMoveStatue(int r, int c)
{
return m_grid[r][c] >= 1;
}
const int m_r;
const int m_c;
const vector<vector>& m_grid;

};

class CBFSGridDist
{
public:
CBFSGridDist(const vector<vector>& bCanVisit, int r, int c) :m_bCanVisit(bCanVisit), m_r(m_bCanVisit.size()), m_c(m_bCanVisit[0].size())
{
m_vDis.assign(m_r, vector(m_c, INT_MAX / 2));
Dist(r, c);
}
bool Vilid(const int r, const int c)
{
if ((r < 0) || (r >= m_r))
{
return false;
}
if ((c < 0) || (c >= m_c))
{
return false;
}
return true;
}
const vector<vector>& Dis()const
{
return m_vDis;
}
const vector<vector>& m_bCanVisit;
private:
//INT_MAX/2 表示无法到达
void Dist(int r, int c)
{
m_vDis.assign(m_r, vector(m_c, INT_MAX / 2));
vector<vector> vHasDo(m_r, vector(m_c));
std::queue<std::pair<int, int>> que;
auto Add = [&](const int& r, const int& c, const int& iDis)
{
if (!Vilid(r, c))
{
return;
}
if (vHasDo[r][c])
{
return;
}
if (!m_bCanVisit[r][c])
{
vHasDo[r][c] = true;
return;
}
if (iDis >= m_vDis[r][c])
{
return;
}

		que.emplace(r, c);
		m_vDis[r][c] = iDis;
		vHasDo[r][c] = true;
	};
	Add(r, c, 0);
	while (que.size())
	{
		const int r = que.front().first;
		const int c = que.front().second;
		que.pop();
		const int iDis = m_vDis[r][c];
		Add(r + 1, c, iDis + 1);
		Add(r - 1, c, iDis + 1);
		Add(r, c + 1, iDis + 1);
		Add(r, c - 1, iDis + 1);
	}

}
vector<vector<int>> m_vDis;
const int m_r;
const int m_c;

};

class C2BNumTrieNode
{
public:
C2BNumTrieNode()
{
m_childs[0] = m_childs[1] = nullptr;
}
bool GetNot0Child(bool bFirstRight)
{
auto ptr = m_childs[bFirstRight];
if (ptr && (ptr->m_iNum > 0))
{
return bFirstRight;
}
return !bFirstRight;
}
int m_iNum = 0;
C2BNumTrieNode* m_childs[2];
};

template
class C2BNumTrie
{
public:
C2BNumTrie()
{
m_pRoot = new C2BNumTrieNode();
}
void Add(int iNum)
{
m_setHas.emplace(iNum);
C2BNumTrieNode* p = m_pRoot;
for (int i = iLeveNum - 1; i >= 0; i–)
{
p->m_iNum++;
bool bRight = iNum & (1 << i);
if (nullptr == p->m_childs[bRight])
{
p->m_childs[bRight] = new C2BNumTrieNode();
}
p = p->m_childs[bRight];
}
p->m_iNum++;
}
void Del(int iNum)
{
auto it = m_setHas.find(iNum);
if (m_setHas.end() == it)
{
return;
}
m_setHas.erase(it);
C2BNumTrieNode* p = m_pRoot;
for (int i = iLeveNum - 1; i >= 0; i–)
{
p->m_iNum–;
bool bRight = iNum & (1 << i);
p = p->m_childs[bRight];
}
p->m_iNum–;
}
int MaxXor(int iNum)
{
C2BNumTrieNode* p = m_pRoot;
int iRet = 0;
for (int i = iLeveNum - 1; i >= 0; i–)
{
bool bRight = !(iNum & (1 << i));
bool bSel = p->GetNot0Child(bRight);
p = p->m_childs[bSel];
if (bSel == bRight)
{
iRet |= (1 << i);
}
}
return iRet;
}
C2BNumTrieNode* m_pRoot;
std::unordered_multiset m_setHas;
};

struct SValueItem
{
SValueItem()
{

}
SValueItem(int iValue)
{
	m_iCoefficient = iValue;
}
SValueItem operator*(const SValueItem& o)const
{
	SValueItem ret(m_iCoefficient * o.m_iCoefficient);
	int i = 0, j = 0;
	while ((i < m_vVars.size()) && (j < o.m_vVars.size()))
	{
		if (m_vVars[i] < o.m_vVars[j])
		{
			ret.m_vVars.emplace_back(m_vVars[i]);
			i++;
		}
		else
		{
			ret.m_vVars.emplace_back(o.m_vVars[j]);
			j++;
		}
	}
	ret.m_vVars.insert(ret.m_vVars.end(), m_vVars.begin() + i, m_vVars.end());
	ret.m_vVars.insert(ret.m_vVars.end(), o.m_vVars.begin() + j, o.m_vVars.end());
	return ret;
}
bool operator<(const SValueItem& o)const
{
	if (m_vVars.size() == o.m_vVars.size())
	{
		return m_vVars < o.m_vVars;
	}
	return m_vVars.size() > o.m_vVars.size();
}
vector<std::string> m_vVars;
int m_iCoefficient = 1;//系数、倍率
std::string ToString()const
{
	std::ostringstream os;
	os << m_iCoefficient;
	for (const auto& s : m_vVars)
	{
		os << "*" << s;
	}
	return os.str();
}

};

struct SValue
{
SValue()
{

}
SValue(int iValue)
{
	SValueItem item;
	item.m_iCoefficient = iValue;
	m_items.emplace(item);
}
SValue(std::string strName)
{
	SValueItem item;
	item.m_vVars.emplace_back(strName);
	m_items.emplace(item);
}
SValue operator-(const SValue& o)const
{
	SValue ret;
	ret.m_items = m_items;
	for (auto it : o.m_items)
	{
		ret -= it;
	}
	return ret;
}
SValue operator+(const SValue& o)const
{
	SValue ret;
	ret.m_items = m_items;
	for (auto it : o.m_items)
	{
		ret += it;
	}
	return ret;
}
SValue operator*(const SValue& o)const
{
	SValue ret;
	for (const auto it : m_items)
	{
		for (const auto ij : o.m_items)
		{
			ret += it * ij;
		}
	}
	return ret;
}
SValue& operator+=(const SValueItem& item)
{
	auto it = m_items.find(item);
	if (m_items.end() == it)
	{
		m_items.emplace(item);
	}
	else
	{
		auto tmp = *it;
		tmp.m_iCoefficient += item.m_iCoefficient;
		m_items.erase(it);
		m_items.emplace(tmp);
	}
	return *this;
}
SValue& operator-=(const SValueItem& item)
{
	auto it = m_items.find(item);
	if (m_items.end() == it)
	{
		auto tmp = item;
		tmp.m_iCoefficient *= -1;
		m_items.emplace(tmp);
	}
	else
	{
		auto tmp = *it;
		tmp.m_iCoefficient -= item.m_iCoefficient;
		m_items.erase(it);
		m_items.emplace(tmp);
	}
	return *this;
}
vector<std::string> ToStrings()const
{
	vector<std::string> vRet;
	for (const auto& item : m_items)
	{
		if (0 == item.m_iCoefficient)
		{
			continue;
		}
		vRet.emplace_back(item.ToString());
	}
	return vRet;
}
std::set<SValueItem> m_items;

};

class CDelIndexs
{
public:
CDelIndexs()
{

}
CDelIndexs(int iSize)
{
	Init(iSize);
}
void Init(int iSize)
{
	m_bDels.assign(iSize, false);
	m_vNext.resize(iSize);
	for (int i = 0; i < iSize; i++)
	{
		m_vNext[i] = i + 1;
	}
}
void Del(int index)
{
	if ((index < 0) || (index >= m_vNext.size()))
	{
		return;
	}
	if (m_bDels[index])
	{
		return;
	}
	m_bDels[index] = true;

}
void SetCur(int index)
{
	if (index < 0)
	{
		m_iCur = m_vNext.size();
	}
	else
	{
		m_iCur = FreshCur(index);
	}
}
int NextIndex()
{
	if (m_iCur >= m_vNext.size())
	{
		return -1;
	}
	auto ret = m_iCur;
	SetCur(m_vNext[m_iCur]);
	return ret;
}

private:
int FreshCur(int index)
{
if (index >= m_vNext.size())
{
return m_vNext.size();
}
if (!m_bDels[index])
{
return index;
}

	return m_vNext[index] = FreshCur(m_vNext[index]);
}
int m_iCur = 0;
vector<bool> m_bDels;
vector<int> m_vNext;

};

class CUnionFind
{
public:
CUnionFind(int iSize) :m_vNodeToRegion(iSize)
{
for (int i = 0; i < iSize; i++)
{
m_vNodeToRegion[i] = i;
}
m_iConnetRegionCount = iSize;
}
int GetConnectRegionIndex(int iNode)
{
int& iConnectNO = m_vNodeToRegion[iNode];
if (iNode == iConnectNO)
{
return iNode;
}
return iConnectNO = GetConnectRegionIndex(iConnectNO);
}
void Union(int iNode1, int iNode2)
{
const int iConnectNO1 = GetConnectRegionIndex(iNode1);
const int iConnectNO2 = GetConnectRegionIndex(iNode2);
if (iConnectNO1 == iConnectNO2)
{
return;
}
m_iConnetRegionCount–;
if (iConnectNO1 > iConnectNO2)
{
UnionConnect(iConnectNO1, iConnectNO2);
}
else
{
UnionConnect(iConnectNO2, iConnectNO1);
}
}

bool IsConnect(int iNode1, int iNode2)
{
	return GetConnectRegionIndex(iNode1) == GetConnectRegionIndex(iNode2);
}
int GetConnetRegionCount()const
{
	return m_iConnetRegionCount;
}
vector<int> GetNodeCountOfRegion()//各联通区域的节点数量
{
	const int iNodeSize = m_vNodeToRegion.size();
	vector<int> vRet(iNodeSize);
	for (int i = 0; i < iNodeSize; i++)
	{
		vRet[GetConnectRegionIndex(i)]++;
	}
	return vRet;
}

private:
void UnionConnect(int iFrom, int iTo)
{
m_vNodeToRegion[iFrom] = iTo;
}
vector m_vNodeToRegion;//各点所在联通区域的索引,本联通区域任意一点的索引，为了增加可理解性，用最小索引
int m_iConnetRegionCount;
};

class CUnionFindMST
{
public:
CUnionFindMST(const int iNodeSize) :m_uf(iNodeSize)
{

}
void AddEdge(const int iNode1, const int iNode2, int iWeight)
{
	if (m_uf.IsConnect(iNode1, iNode2))
	{
		return;
	}
	m_iMST += iWeight;
	m_uf.Union(iNode1, iNode2);
}
void AddEdge(const vector<int>& v)
{
	AddEdge(v[0], v[1], v[2]);
}
int MST()
{
	if (m_uf.GetConnetRegionCount() > 1)
	{
		return -1;
	}
	return m_iMST;
}

private:
int m_iMST = 0;
CUnionFind m_uf;
};

class CNearestMST
{
public:
CNearestMST(const int iNodeSize) :m_bDo(iNodeSize), m_vDis(iNodeSize, INT_MAX), m_vNeiTable(iNodeSize)
{

}
void Init(const vector<vector<int>>& edges)
{
	for (const auto& v : edges)
	{
		Add(v);
	}
}
void Add(const vector<int>& v)
{
	m_vNeiTable[v[0]].emplace_back(v[1], v[2]);
	m_vNeiTable[v[1]].emplace_back(v[0], v[2]);
}
int MST(int start)
{
	int next = start;
	while ((next = AddNode(next)) >= 0);
	return m_iMST;
}
int MST(int iNode1, int iNode2, int iWeight)
{
	m_bDo[iNode1] = true;
	for (const auto& it : m_vNeiTable[iNode1])
	{
		if (m_bDo[it.first])
		{
			continue;
		}
		m_vDis[it.first] = min(m_vDis[it.first], (long long)it.second);
	}
	m_iMST = iWeight;

	int next = iNode2;
	while ((next = AddNode(next)) >= 0);
	return m_iMST;
}

private:
int AddNode(int iCur)
{
m_bDo[iCur] = true;
for (const auto& it : m_vNeiTable[iCur])
{
if (m_bDo[it.first])
{
continue;
}
m_vDis[it.first] = min(m_vDis[it.first], (long long)it.second);
}

	int iMinIndex = -1;
	for (int i = 0; i < m_vDis.size(); i++)
	{
		if (m_bDo[i])
		{
			continue;
		}
		if ((-1 == iMinIndex) || (m_vDis[i] < m_vDis[iMinIndex]))
		{
			iMinIndex = i;
		}
	}
	if (-1 != iMinIndex)
	{
		if (INT_MAX == m_vDis[iMinIndex])
		{
			m_iMST = -1;
			return -1;
		}
		m_iMST += m_vDis[iMinIndex];
	}

	return iMinIndex;
}
vector<bool> m_bDo;
vector<long long> m_vDis;
vector < vector<std::pair<int, int>>> m_vNeiTable;
long long m_iMST = 0;

};

typedef pair<long long, int> PAIRLLI;
class CDis
{
public:
static void Dis(vector& vDis, int start, const vector<vector<pair<int, int>>>& vNeiB)
{
std::priority_queue<PAIRLLI, vector, greater> minHeap;
minHeap.emplace(0, start);
while (minHeap.size())
{
const long long llDist = minHeap.top().first;
const int iCur = minHeap.top().second;
minHeap.pop();
if (-1 != vDis[iCur])
{
continue;
}
vDis[iCur] = llDist;
for (const auto& it : vNeiB[iCur])
{
minHeap.emplace(llDist + it.second, it.first);
}
}

};

class CNearestDis
{
public:
CNearestDis(int iSize) :m_iSize(iSize), DIS(m_vDis), PRE(m_vPre)
{

}
void Cal(int start, const vector<vector<pair<int, int>>>& vNeiB)
{
	m_vDis.assign(m_iSize, -1);
	m_vPre.assign(m_iSize, -1);
	vector<bool> vDo(m_iSize);//点是否已处理
	auto AddNode = [&](int iNode)
	{
		//const int iPreNode = m_vPre[iNode];
		long long llPreDis = m_vDis[iNode];

		vDo[iNode] = true;
		for (const auto& it : vNeiB[iNode])
		{
			if (vDo[it.first])
			{
				continue;
			}

			if ((-1 == m_vDis[it.first]) || (it.second + llPreDis < m_vDis[it.first]))
			{
				m_vDis[it.first] = it.second + llPreDis;
				m_vPre[it.first] = iNode;
			}
		}

		long long llMinDis = LLONG_MAX;
		int iMinIndex = -1;
		for (int i = 0; i < m_vDis.size(); i++)
		{
			if (vDo[i])
			{
				continue;
			}
			if (-1 == m_vDis[i])
			{
				continue;
			}
			if (m_vDis[i] < llMinDis)
			{
				iMinIndex = i;
				llMinDis = m_vDis[i];
			}
		}
		return (LLONG_MAX == llMinDis) ? -1 : iMinIndex;
	};

	int next = start;
	m_vDis[start] = 0;
	while (-1 != (next = AddNode(next)));
}
void Cal(const int start, vector<vector<int>>& edges)
{
	vector<vector<pair<int, int>>> vNeiB(m_iSize);
	for (int i = 0; i < edges.size(); i++)
	{
		const auto& v = edges[i];
		vNeiB[v[0]].emplace_back(v[1], v[2]);
		vNeiB[v[1]].emplace_back(v[0], v[2]);
	}
	Cal(start, vNeiB);
}
const vector<long long>& DIS;
const vector<int>& PRE;

private:
const int m_iSize;
vector m_vDis;//各点到起点的最短距离
vector m_vPre;//最短路径的前一点
};

class CNeiBo2
{
public:
CNeiBo2(int n, vector<vector>& edges, bool bDirect,int iBase=0)
{
m_vNeiB.resize(n);
for (const auto& v : edges)
{
m_vNeiB[v[0]- iBase].emplace_back(v[1]- iBase);
if (!bDirect)
{
m_vNeiB[v[1]- iBase].emplace_back(v[0]- iBase);
}
}
}
vector<vector> m_vNeiB;
};

class CNeiBo3
{
public:
CNeiBo3(int n, vector<vector>& edges, bool bDirect, int iBase = 0)
{
m_vNeiB.resize(n);
for (const auto& v : edges)
{
m_vNeiB[v[0] - iBase].emplace_back(v[1] - iBase,v[2]);
if (!bDirect)
{
m_vNeiB[v[1] - iBase].emplace_back(v[0] - iBase,v[2]);
}
}
}
vector<vector<std::pair<int,int>>> m_vNeiB;
};

struct SDecimal
{
SDecimal(int iNum = 0, int iDeno = 1)
{
m_iNum = iNum;
m_iDeno = iDeno;
int iGCD = GCD(abs(m_iNum), abs(m_iDeno));
m_iNum /= iGCD;
m_iDeno /= iGCD;
if (m_iDeno < 0)
{
m_iDeno = -m_iDeno;
m_iNum = -m_iNum;
}
}
SDecimal operator*(const SDecimal& o)const
{
return SDecimal(m_iNum * o.m_iNum, m_iDeno * o.m_iDeno);
}
SDecimal operator/(const SDecimal& o)const
{
return SDecimal(m_iNum * o.m_iDeno, m_iDeno * o.m_iNum);
}
SDecimal operator+(const SDecimal& o)const
{
const int iGCD = GCD(m_iDeno, o.m_iDeno);
const int iDeno = m_iDeno * o.m_iDeno / iGCD;
return SDecimal(m_iNum * (iDeno / m_iDeno) + o.m_iNum * (iDeno / o.m_iDeno), iDeno);
}
SDecimal operator-(const SDecimal& o)const
{
const int iGCD = GCD(m_iDeno, o.m_iDeno);
const int iDeno = m_iDeno * o.m_iDeno / iGCD;
return SDecimal(m_iNum * (iDeno / m_iDeno) - o.m_iNum * (iDeno / o.m_iDeno), iDeno);
}
bool operator==(const SDecimal& o)const
{
return (m_iNum == o.m_iNum) && (m_iDeno == o.m_iDeno);
}
bool operator<(const SDecimal& o)const
{
auto tmp = *this - o;
return tmp.m_iNum < 0;
}
int m_iNum = 0;//分子
int m_iDeno = 1;//分母
};

struct point {
double x, y;
point(double i, double j) :x(i), y(j) {}
};

//算两点距离
double dist(double x1, double y1, double x2, double y2) {
return sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2));
}

//计算圆心
point CircleCenter(point& a, point& b, int r) {
//算中点
point mid((a.x + b.x) / 2.0, (a.y + b.y) / 2.0);
//AB距离的一半
double d = dist(a.x, a.y, mid.x, mid.y);
//计算h
double h = sqrt(r * r - d * d);
//计算垂线
point ba(b.x - a.x, b.y - a.y);
point hd(-ba.y, ba.x);
double len = sqrt(hd.x * hd.x + hd.y * hd.y);
hd.x /= len, hd.y /= len;
hd.x *= h, hd.y *= h;
return point(hd.x + mid.x, hd.y + mid.y);
}

class C01LineTree
{
public:
C01LineTree(const vector& nums) :m_iEleSize(nums.size())
{
m_arr.resize(m_iEleSize * 4);
Init(nums, 1, 1, m_iEleSize);
m_vNeedFreshChilds.assign(m_iEleSize * 4, false);
}
void Rotato(int iLeftZeroIndex, int iRightZeroIndex)
{
int iRotatoLeft = iLeftZeroIndex + 1;
int iRotatoRight = iRightZeroIndex + 1;
Rotato(1, 1, m_iEleSize, iRotatoLeft, iRotatoRight);
}
int Query()
{
return m_arr[1];
}
private:
void Rotato(int iSaveIndex, int iDataBegin, int iDataEnd, int iRotatoLeft, int iRotatoRight)
{
if ((iRotatoLeft <= iDataBegin) && (iRotatoRight >= iDataEnd))
{//整个范围需要更新
RotatoSelf(iSaveIndex, iDataBegin, iDataEnd);
return;
}

	int iMid = iDataBegin + (iDataEnd - iDataBegin) / 2;
	if (m_vNeedFreshChilds[iSaveIndex])
	{
		RotatoSelf(iSaveIndex * 2, iDataBegin, iMid);
		RotatoSelf(iSaveIndex * 2 + 1, iMid + 1, iDataEnd);
		m_vNeedFreshChilds[iSaveIndex] = false;
	}
	if (iMid >= iRotatoLeft)
	{
		Rotato(iSaveIndex * 2, iDataBegin, iMid, iRotatoLeft, iRotatoRight);
	}
	if (iMid + 1 <= iRotatoRight)
	{
		Rotato(iSaveIndex * 2 + 1, iMid + 1, iDataEnd, iRotatoLeft, iRotatoRight);
	}
	m_arr[iSaveIndex] = m_arr[iSaveIndex * 2] + m_arr[iSaveIndex * 2 + 1];
}
void RotatoSelf(int iSaveIndex, int iDataBegin, int iDataEnd)
{
	//总数量 - 翻转后0(翻转前1）的数量
	m_arr[iSaveIndex] = (iDataEnd - iDataBegin + 1) - m_arr[iSaveIndex];
	//懒惰法，标记本节点的子孙节点没更新
	m_vNeedFreshChilds[iSaveIndex] = !m_vNeedFreshChilds[iSaveIndex];
}
void Init(const vector<int>& nums, int iSaveIndex, int iDataBegin, int iDataEnd)
{
	if (iDataBegin == iDataEnd)
	{
		m_arr[iSaveIndex] = nums[iDataBegin - 1];
		return;
	}
	int iMid = iDataBegin + (iDataEnd - iDataBegin) / 2;
	Init(nums, iSaveIndex * 2, iDataBegin, iMid);
	Init(nums, iSaveIndex * 2 + 1, iMid + 1, iDataEnd);
	m_arr[iSaveIndex] = m_arr[iSaveIndex * 2] + m_arr[iSaveIndex * 2 + 1];
}
const int m_iEleSize;
vector<int> m_arr;
vector<bool> m_vNeedFreshChilds;

};

template<class ELE, class ResultType, ELE minEle, ELE maxEle>
class CLowUperr
{
public:
CLowUperr(int iResutlCount)
{
m_iResutlCount = iResutlCount;
m_vPre.assign(4, vector(iResutlCount));
}
void Init(const ELE* pLower, const ELE* pHigh, int iNum)
{
if (iNum <= 0)
{
return;
}
InitPre(pLower, pHigh);
iNum–;
while (iNum–)
{
pLower++;
pHigh++;
vector<vector> dp(4, vector(m_iResutlCount));
OnInitDP(dp);
//处理非边界
for (auto tmp = minEle; tmp <= maxEle; tmp++)
{
OnDo(dp[0], m_vPre[0], tmp);
}
//处理下边界
OnDo(dp[1], m_vPre[1], *pLower);
for (auto tmp = *pLower + 1; tmp <= maxEle; tmp++)
{
OnDo(dp[0], m_vPre[1], tmp );
}
//处理上边界
OnDo(dp[2], m_vPre[2], *pHigh );
for (auto tmp = minEle; tmp < *pHigh; tmp++)
{
OnDo(dp[0], m_vPre[2], tmp );
}
//处理上下边界
if (*pLower == *pHigh)
{
OnDo(dp[3], m_vPre[3], *pLower);
}
else
{
OnDo(dp[1], m_vPre[3], *pLower );
for (auto tmp = *pLower + 1; tmp < *pHigh; tmp++)
{
OnDo(dp[0], m_vPre[3], tmp );
}
OnDo(dp[2], m_vPre[3], *pHigh );
}
m_vPre.swap(dp);
}
}
ResultType Total(int iMinIndex, int iMaxIndex)
{
ResultType ret;
for (int status = 0; status < 4; status++)
{
for (int index = iMinIndex; index <= iMaxIndex; index++)
{
ret += m_vPre[status][index];
}
}
return ret;
}
protected:

int m_iResutlCount;
void InitPre(const ELE* const pLower, const ELE* const pHigh)
{
	for (ELE cur = *pLower; cur <= *pHigh; cur++)
	{
		int iStatus = 0;
		if (*pLower == cur)
		{
			iStatus = *pLower == *pHigh ? 3 : 1;
		}
		else if (*pHigh == cur)
		{
			iStatus = 2;
		}
		OnInitFirstEle(m_vPre[iStatus], cur);
	}
}

virtual void OnDo(vector<ResultType>& dp, const vector<ResultType>& vPre, ELE cur) = 0;

virtual void OnInitFirstEle(vector<ResultType>& vPre,const ELE curValue)
{
	int curIndex = curValue - minEle;
	if (curIndex < m_iResutlCount)
	{
		vPre[curIndex] = 1;
	}
}

virtual void OnInitDP(vector<vector<ResultType>>& dp)
{

}
vector<vector<ResultType>> m_vPre;

};

//马拉车计算回文回文
class CPalindrome
{
public:
//vOddHalfLen[i]表示以s[i]为中心，且长度为奇数的最长回文的半长，包括s[i]
//比如：“aba” vOddHalfLen[1]为2 “abba” vEvenHalfLen[1]为2
static void CalHalfLen(vector& vOddHalfLen, vector& vEvenHalfLen, const string& s)
{
vector v;
for (const auto& ch : s)
{
v.emplace_back(ch);
v.emplace_back(‘*’);
}
v.pop_back();

	const int len = v.size();
	vector<int> vHalfLen(len);
	int center = -1, r = -1;
	//center是对称中心,r是其右边界（闭）
	for (int i = 0; i < len; i++)
	{
		int tmp = 1;
		if (i <= r)
		{
			int pre = center - (i - center);
			tmp = min(vHalfLen[pre], r - i + 1);
		}
		for (tmp++; (i + tmp - 1 < len) && (i - tmp + 1 >= 0) && (v[i + tmp - 1] == v[i - tmp + 1]); tmp++);
		vHalfLen[i] = --tmp;
		const int iNewR = i + tmp - 1;
		if (iNewR > r)
		{
			r = iNewR;
			center = i;
		}
	}

	vOddHalfLen.resize(s.length());
	vEvenHalfLen.resize(s.length());
	for (int i = 0; i < len; i++)
	{
		if (i & 1)
		{
			vEvenHalfLen[i / 2] = vHalfLen[i] / 2;

		}
		else
		{
			vOddHalfLen[i / 2] = (vHalfLen[i] + 1) / 2;
		}
	}
}

//vOddLen[i]表示以i开始，奇数长度 最长回文
//vEvenLen[i]表示以i开始，偶数长度 最长回文
static void  CalLen(vector<int>& vOddLen, vector<int>& vEvenLen, const string& s)
{
	vector<char> v;
	for (const auto& ch : s)
	{
		v.emplace_back(ch);
		v.emplace_back('*');
	}
	v.pop_back();

	const int len = v.size();
	vector<int> vHalfLen(len);
	int center = -1, r = -1;
	//center是对称中心,r是其右边界（闭）
	for (int i = 0; i < len; i++)
	{
		int tmp = 1;
		if (i <= r)
		{
			int pre = center - (i - center);
			tmp = min(vHalfLen[pre], r - i + 1);
		}
		for (tmp++; (i + tmp - 1 < len) && (i - tmp + 1 >= 0) && (v[i + tmp - 1] == v[i - tmp + 1]); tmp++);
		vHalfLen[i] = --tmp;
		const int iNewR = i + tmp - 1;
		if (iNewR > r)
		{
			r = iNewR;
			center = i;
		}
	}

	vOddLen.resize(s.length());
	vEvenLen.resize(s.length());
	for (int i = 0; i < len; i++)
	{
		const int iHalfLen = (i & 1) ? (vHalfLen[i] / 2) : ((vHalfLen[i] + 1) / 2);
		const int left = i / 2 - iHalfLen + 1;
		if (i & 1)
		{
			vEvenLen[left] = vHalfLen[i] / 2*2;
		}
		else
		{
			vOddLen[left] = (vHalfLen[i] + 1) / 2*2-1;
		}
	}
}

};
//使用实例
//vector vOddHalfLen, vEvenHalfLen;
//CPalindrome::Do(vOddHalfLen, vEvenHalfLen, s);

class CKMP
{
public:
static vector Next(const string& s)
{
const int len = s.length();
vector vNext(len, -1);
for (int i = 1; i < len; i++)
{
int next = vNext[i - 1];
while ((-1 != next) && (s[next + 1] != s[i]))
{
next = vNext[next];
}
vNext[i] = next + (s[next + 1] == s[i]);
}
return vNext;
}
};

template
class CMergeSortIndex
{
public:
CMergeSortIndex(const vector& nums) :m_nums(nums)
{
m_c = nums.size();
m_vIndexs.resize(nums.size());
iota(m_vIndexs.begin(), m_vIndexs.end(), 0);
}
void SortIndex(int left, int right)
{
if (right - left <= 1)
{
return;
}
const int mid = left + (right - left) / 2;
SortIndex(left, mid);
SortIndex(mid, right);
OnSortLeftRightEnd(left, mid, right);
//nums的[left,mid) 和[mid,right)分别排序
m_vSortIndexs.clear();
int i1 = left, i2 = mid;
while ((i1 < mid) && (i2 < right))
{
if (m_nums[m_vIndexs[i1]] > m_nums[m_vIndexs[i2]])
{
m_vSortIndexs.emplace_back(m_vIndexs[i2++]);
}
else
{
m_vSortIndexs.emplace_back(m_vIndexs[i1]);
OnAdd1(i1++, i2, left, mid, right);
}
}
while (i1 < mid)
{
m_vSortIndexs.emplace_back(m_vIndexs[i1]);
OnAdd1(i1++, i2, left, mid, right);
}
while (i2 < right)
{
m_vSortIndexs.emplace_back(m_vIndexs[i2++]);
}
for (int i = 0; i < m_vSortIndexs.size(); i++)
{
m_vIndexs[i + left] = m_vSortIndexs[i];
}
}
vector Sort()
{
SortIndex(0, m_c);
vector vRet(m_c);
for (int i = 0; i < m_c; i++)
{
vRet[i] = m_nums[m_vIndexs[i]];
}
return vRet;
}
protected:
virtual void OnSortLeftRightEnd(int left, int mid, int right)
{

}
virtual void OnAdd1(int i1, int i2, int left, int mid, int right)
{

}
int m_c;
const vector<T>& m_nums;
vector<int> m_vIndexs;
vector<int> m_vSortIndexs;

};

template<class T = int, class _Pr = std::less >
class CTopK
{
public:
CTopK(int k) :m_iMinNum(k)
{

}
void Do(vector<T>& m_v, T* begin, int num)
{
	for (; num; begin++, num--)
	{
		while (m_v.size() && _Pr()(*begin, m_v.back()) && (m_iMinNum - m_v.size() + 1 <= num))
		{
			m_v.pop_back();
		}
		if (m_v.size() < m_iMinNum)
		{
			m_v.push_back(*begin);
		}
	}
}

protected:
const int m_iMinNum;
};

class CUnionFindDirect
{
public:
CUnionFindDirect(int iSize)
{
m_vRoot.resize(iSize);
iota(m_vRoot.begin(), m_vRoot.end(), 0);
}
void Connect(bool& bConflic, bool& bCyc, int iFrom, int iTo)
{
bConflic = bCyc = false;
if (iFrom != m_vRoot[iFrom])
{
bConflic = true;
}

	Fresh(iTo);
	if (m_vRoot[iTo] == iFrom)
	{
		bCyc = true;
	}
	if (bConflic || bCyc)
	{
		return;
	}

	m_vRoot[iFrom] = m_vRoot[iTo];
}

private:
int Fresh(int iNode)
{
if (m_vRoot[iNode] == iNode)
{
return iNode;
}
return m_vRoot[iNode] = Fresh(m_vRoot[iNode]);
}
vector m_vRoot;
};

#define MACRO_BEGIN_END(n) n.begin(),n.end()

#define MacroTopSort(que,vNeiBo)
while (que.size())
{
const int cur = que.front();
que.pop();
for (const auto& next : vNeiBo[cur])
{
vDeg[next]–;
if (1 == vDeg[next])
{

}
}
}

#define Macro2DBFS(queRowCol,m_r,m_c)
queue<pair<int, int>> queRowCol;
vector<vector> vDis(m_r, vector(m_c, -1));
while (queRowCol.size())
{
const auto [r, c] = queRowCol.front();
queRowCol.pop();
auto Move = [&vDis, &queRowCol, this](int r, int c, int iDis)
{
if ((r < 0) || (r >= m_r))
{
return;
}
if ((c < 0) || (c >= m_c))
{
return;
}
if (-1 != vDis[r][c])
{
return;
}
vDis[r][c] = iDis;
queRowCol.emplace(r, c);
};
const int iDis = vDis[r][c] + 1;
Move(r + 1, c, iDis);
Move(r - 1, c, iDis);
Move(r, c + 1, iDis);
Move(r, c - 1, iDis);
}

/*
struct TreeNode {
int val;
TreeNode *left;
TreeNode *right;
TreeNode(int x) : val(x), left(NULL), right(NULL) {}
TreeNode(int x, int iLeft) : val(x), left(new TreeNode(iLeft)), right(nullptr) {}
TreeNode(int x, int iLeft, int iRghit) : val(x), left(new TreeNode(iLeft)), right(new TreeNode(iRghit)) {}
};

namespace NTree
{
TreeNode* Init(const vector& nums, int iNull = 10000)
{
if (0 == nums.size())
{
return nullptr;
}
vector<TreeNode*> ptrs(nums.size() + 1), ptrParent(1);
for (int i = 0; i < nums.size(); i++)
{
if (iNull == nums[i])
{
continue;
}
const int iNO = i + 1;
ptrs[iNO] = new TreeNode(nums[i]);
ptrParent.emplace_back(ptrs[iNO]);
if (1 == iNO)
{
continue;
}
if (iNO & 1)
{//奇数是右支
ptrParent[iNO / 2]->right = ptrs[iNO];
}
else
{
ptrParent[iNO / 2]->left = ptrs[iNO];
}
}
return ptrs[1];
}
}
*/

class CGoodString : public CLowUperr<char, C1097Int<>, ‘a’, ‘z’>
{
public:
CGoodString(string evil):CLowUperr<char, C1097Int<>, ‘a’, ‘z’>(evil.size())
{
m_c = evil.size();
m_strEvil = evil;
m_vMaxLen.assign(m_c, 0);
for (int i = 1; i < m_c; i++)
{
int iPreSameLen = m_vMaxLen[i-1];
while (evil[iPreSameLen] != evil[i])
{
if (0 == iPreSameLen)
{
break;
}
iPreSameLen = m_vMaxLen[iPreSameLen-1];
}
m_vMaxLen[i] = iPreSameLen+(evil[iPreSameLen] == evil[i]);
}
}

protected:
void OnDo(vector<C1097Int<>>& dp, const vector<C1097Int<>>& vPre, char cur)override
{
for (int i = 0; i < m_c; i++)
{
if (0 == vPre[i].ToInt())
{
continue;
}
int preSameLen = i;
while (m_strEvil[preSameLen] != cur)
{
if (0 == preSameLen)
{
break;
}
preSameLen = m_vMaxLen[preSameLen - 1];
}
const int curSameLen = preSameLen + (m_strEvil[preSameLen] == cur);
if (curSameLen == m_c)
{
continue;
}
dp[curSameLen] += vPre[i];
}
}
void OnInitFirstEle(vector<C1097Int<>>& vPre, const char curValue)override
{
int iSameLen = m_strEvil[0] == curValue;
if (iSameLen < m_c)
{
vPre[iSameLen] += 1;
}
}
string m_strEvil;
vector m_vMaxLen;//m_vNext[i] 记录 evil[0]到evil[i] 的最长公共前后缀
int m_c;
};
class Solution {
public:
int findGoodStrings(int n, string s1, string s2, string evil) {
CGoodString gs(evil);
gs.Init(s1.data(), s2.data(), s1.length());
return gs.Total(0, evil.size() - 1).ToInt();
}
int m_c;
};

扩展阅读

视频课程

有效学习：明确的目标及时的反馈拉伸区（难度合适），可以先学简单的课程，请移步CSDN学院，听白银讲师（也就是鄙人）的讲解。
https://edu.csdn.net/course/detail/38771

如何你想快

速形成战斗了，为老板分忧，请学习C#入职培训、C++入职培训等课程
https://edu.csdn.net/lecturer/6176

我想对大家说的话
闻缺陷则喜是一个美好的愿望，早发现问题，早修改问题，给老板节约钱。
子墨子言之：事无终始，无务多业。也就是我们常说的专业的人做专业的事。
如果程序是一条龙，那算法就是他的是睛