#define LOCAL

/** ` Micro Mezzo Macro Flation -- Overheated Economy ., **/

#include <functional>
#include <algorithm>
#include <iostream>
#include <iomanip>
#include <numeric>
#include <sstream>
#include <cstring>
#include <cassert>
#include <cstdio>
#include <string>
#include <vector>
#include <bitset>
#include <queue>
#include <stack>
#include <cmath>
#include <ctime>
#include <list>
#include <set>
#include <map>

using namespace std;

#define REP(i, n) for (int i=0;i<int(n);++i)
#define FOR(i, a, b) for (int i=int(a);i<int(b);++i)
#define DWN(i, b, a) for (int i=int(b-1);i>=int(a);--i)
#define REP_1(i, n) for (int i=1;i<=int(n);++i)
#define FOR_1(i, a, b) for (int i=int(a);i<=int(b);++i)
#define DWN_1(i, b, a) for (int i=int(b);i>=int(a);--i)
#define REP_C(i, n) for (int n____=int(n),i=0;i<n____;++i)
#define FOR_C(i, a, b) for (int b____=int(b),i=a;i<b____;++i)
#define DWN_C(i, b, a) for (int a____=int(a),i=b-1;i>=a____;--i)
#define REP_N(i, n) for (i=0;i<int(n);++i)
#define FOR_N(i, a, b) for (i=int(a);i<int(b);++i)
#define DWN_N(i, b, a) for (i=int(b-1);i>=int(a);--i)
#define REP_1_C(i, n) for (int n____=int(n),i=1;i<=n____;++i)
#define FOR_1_C(i, a, b) for (int b____=int(b),i=a;i<=b____;++i)
#define DWN_1_C(i, b, a) for (int a____=int(a),i=b;i>=a____;--i)
#define REP_1_N(i, n) for (i=1;i<=int(n);++i)
#define FOR_1_N(i, a, b) for (i=int(a);i<=int(b);++i)
#define DWN_1_N(i, b, a) for (i=int(b);i>=int(a);--i)
#define REP_C_N(i, n) for (n____=int(n),i=0;i<n____;++i)
#define FOR_C_N(i, a, b) for (b____=int(b),i=a;i<b____;++i)
#define DWN_C_N(i, b, a) for (a____=int(a),i=b-1;i>=a____;--i)
#define REP_1_C_N(i, n) for (n____=int(n),i=1;i<=n____;++i)
#define FOR_1_C_N(i, a, b) for (b____=int(b),i=a;i<=b____;++i)
#define DWN_1_C_N(i, b, a) for (a____=int(a),i=b;i>=a____;--i)

//#define ECH(it, A) for (typeof(A.begin()) it=A.begin(); it != A.end(); ++it)
#define ECH(it, A) for (__typeof(A.begin()) it=A.begin(); it != A.end(); ++it)

#define DO(n) for ( int ____n ## __line__ = n; ____n ## __line__ -- ; )

#define _TO(i, a, b) int s_=a<b?1:-1,b_=b+s_;for(int i=a+s_;i!=b_;i+=s_)
#define TO(i, a, b) int s_=a<b?1:-1,b_=b+s_;for(int i=a;i!=b_;i+=s_)
#define TO_1(i, a, b) int s_=a<b?1:-1,b_=b;for(int i=a;i!=b_;i+=s_)
#define SQZ(i, j, a, b) for (int i=int(a),j=int(b)-1;i<j;++i,--j)
#define SQZ_1(i, j, a, b) for (int i=int(a),j=int(b);i<=j;++i,--j)
#define REP_2(i, j, n, m) REP(i, n) REP(j, m)
#define REP_2_1(i, j, n, m) REP_1(i, n) REP_1(j, m)

#define ALL(A) A.begin(), A.end()
#define LLA(A) A.rbegin(), A.rend()
#define CPY(A, B) memcpy(A, B, sizeof(A))
#define INS(A, P, B) A.insert(A.begin() + P, B)
#define ERS(A, P) A.erase(A.begin() + P)
#define BSC(A, X) find(ALL(A), X) // != A.end()
#define CTN(T, x) (T.find(x) != T.end())
#define SZ(A) int(A.size())
#define PB push_back
#define MP(A, B) make_pair(A, B)

#define Rush int T____; RD(T____); DO(T____)

#define Display(A, n, m) {           \
	REP(i, n){		                          \
        REP(j, m) cout << A[i][j] << " ";\
		cout << endl;				\
	}						\
}

#define Display_1(A, n, m) {				\
	REP_1(i, n){		\
        REP_1(j, m) cout << A[i][j] << " ";\
		cout << endl;				\
	}						\
}

#pragma comment(linker, "/STACK:36777216")
//#pragma GCC optimize ("O2")
#define Ruby system("ruby main.rb")
#define Haskell system("runghc main.hs")
#define Python system("python main.py")
#define Pascal system("fpc main.pas")

#define fi first
#define se second

typedef long long LL;
typedef double DB;
typedef unsigned UINT;
typedef unsigned long long ULL;

typedef vector<int> VI;
typedef vector<char> VC;
typedef vector<string> VS;
typedef vector<LL> VL;
typedef vector<DB> VD;
typedef set<int> SI;
typedef set<string> SS;
typedef set<LL> SL;
typedef set<DB> SD;
typedef map<int, int> MII;
typedef map<string, int> MSI;
typedef map<LL, int> MLI;
typedef map<DB, int> MDI;
typedef map<int, bool> MIB;
typedef map<string, bool> MSB;
typedef map<LL, bool> MLB;
typedef map<DB, bool> MDB;
typedef pair<int, int> PII;
typedef pair<int, bool> PIB;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef vector<VII> VVII;
typedef set<PII> SII;
typedef map<PII, int> MPIII;
typedef map<PII, bool> MPIIB;

template<class T> inline T& RD(T &);
template<class T> inline void OT(const T &);
inline LL RD(){LL x; return RD(x);}
inline char& RC(char &c){scanf(" %c", &c); return c;}
inline char RC(){char c; return RC(c);}
inline DB& RF(DB &x){scanf("%lf", &x); return x;}
inline DB RF(){DB x; return RF(x);}
inline char* RS(char *s){scanf("%s", s); return s;}

template<class T0, class T1> inline T0& RD(T0 &x0, T1 &x1){RD(x0), RD(x1); return x0;}
template<class T0, class T1, class T2> inline T0& RD(T0 &x0, T1 &x1, T2 &x2){RD(x0), RD(x1), RD(x2); return x0;}
template<class T0, class T1, class T2, class T3> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3){RD(x0), RD(x1), RD(x2), RD(x3); return x0;}
template<class T0, class T1, class T2, class T3, class T4> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4); return x0;}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5); return x0;}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5, T6 &x6){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5), RD(x6); return x0;}
template<class T0, class T1> inline void OT(const T0 &x0, const T1 &x1){OT(x0), OT(x1);}
template<class T0, class T1, class T2> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2){OT(x0), OT(x1), OT(x2);}
template<class T0, class T1, class T2, class T3> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3){OT(x0), OT(x1), OT(x2), OT(x3);}
template<class T0, class T1, class T2, class T3, class T4> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4, const T5 &x5){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4, const T5 &x5, const T6 &x6){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5), OT(x6);}

inline char& RC(char &a, char &b){RC(a), RC(b); return a;}
inline char& RC(char &a, char &b, char &c){RC(a), RC(b), RC(c); return a;}
inline char& RC(char &a, char &b, char &c, char &d){RC(a), RC(b), RC(c), RC(d); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e){RC(a), RC(b), RC(c), RC(d), RC(e); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e, char &f){RC(a), RC(b), RC(c), RC(d), RC(e), RC(f); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e, char &f, char &g){RC(a), RC(b), RC(c), RC(d), RC(e), RC(f), RC(g); return a;}
inline DB& RF(DB &a, DB &b){RF(a), RF(b); return a;}
inline DB& RF(DB &a, DB &b, DB &c){RF(a), RF(b), RF(c); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d){RF(a), RF(b), RF(c), RF(d); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e){RF(a), RF(b), RF(c), RF(d), RF(e); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e, DB &f){RF(a), RF(b), RF(c), RF(d), RF(e), RF(f); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e, DB &f, DB &g){RF(a), RF(b), RF(c), RF(d), RF(e), RF(f), RF(g); return a;}
inline void RS(char *s1, char *s2){RS(s1), RS(s2);}
inline void RS(char *s1, char *s2, char *s3){RS(s1), RS(s2), RS(s3);}

template<class T> inline void RST(T &A){memset(A, 0, sizeof(A));}
template<class T0, class T1> inline void RST(T0 &A0, T1 &A1){RST(A0), RST(A1);}
template<class T0, class T1, class T2> inline void RST(T0 &A0, T1 &A1, T2 &A2){RST(A0), RST(A1), RST(A2);}
template<class T0, class T1, class T2, class T3> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3){RST(A0), RST(A1), RST(A2), RST(A3);}
template<class T0, class T1, class T2, class T3, class T4> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5), RST(A6);}
template<class T> inline void FLC(T &A, int x){memset(A, x, sizeof(A));}
template<class T0, class T1> inline void FLC(T0 &A0, T1 &A1, int x){FLC(A0, x), FLC(A1, x);}
template<class T0, class T1, class T2> inline void FLC(T0 &A0, T1 &A1, T2 &A2){FLC(A0), FLC(A1), FLC(A2);}
template<class T0, class T1, class T2, class T3> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3){FLC(A0), FLC(A1), FLC(A2), FLC(A3);}
template<class T0, class T1, class T2, class T3, class T4> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4), FLC(A5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4), FLC(A5), FLC(A6);}
template<class T> inline void CLR(priority_queue<T, vector<T>, less<T> > &Q){while (!Q.empty()) Q.pop();}
template<class T> inline void CLR(priority_queue<T, vector<T>, greater<T> > &Q){while (!Q.empty()) Q.pop();}
template<class T> inline void CLR(T &A){A.clear();}
template<class T0, class T1> inline void CLR(T0 &A0, T1 &A1){CLR(A0), CLR(A1);}
template<class T0, class T1, class T2> inline void CLR(T0 &A0, T1 &A1, T2 &A2){CLR(A0), CLR(A1), CLR(A2);}
template<class T0, class T1, class T2, class T3> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3){CLR(A0), CLR(A1), CLR(A2), CLR(A3);}
template<class T0, class T1, class T2, class T3, class T4> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5), CLR(A6);}
template<class T> inline void CLR(T &A, int n){REP(i, n) CLR(A[i]);}

template<class T> inline T& SRT(T &A){sort(ALL(A)); return A;}
template<class T, class C> inline T& SRT(T &A, C B){sort(ALL(A), B); return A;}

/** Add - On **/

const int MOD = 99990001;
//int MOD = 1000000007;
const int INF = 0x3f3f3f3f;
const DB EPS = 1e-8;
const DB OO = 1e15;
const DB PI = acos(-1.0); //M_PI;

// <<= ` 0. Daily Use .,

template<class T> inline void checkMin(T &a,const T b){if (b<a) a=b;}
template<class T> inline void checkMax(T &a,const T b){if (b>a) a=b;}
template <class T, class C> inline void checkMin(T& a, const T b, C c){if (c(b,a)) a = b;}
template <class T, class C> inline void checkMax(T& a, const T b, C c){if (c(a,b)) a = b;}
template<class T> inline T min(T a, T b, T c){return min(min(a, b), c);}
template<class T> inline T max(T a, T b, T c){return max(max(a, b), c);}
template<class T> inline T min(T a, T b, T c, T d){return min(min(a, b), min(c, d));}
template<class T> inline T max(T a, T b, T c, T d){return max(max(a, b), max(c, d));}
template<class T> inline T sqr(T a){return a*a;}
template<class T> inline T cub(T a){return a*a*a;}
inline int Ceil(int x, int y){return (x - 1) / y + 1;}

// <<= ` 1. Bitwise Operation .,
inline bool _1(int x, int i){return x&1<<i;}
inline bool _1(LL x, int i){return x&1LL<<i;}
inline LL _1(int i){return 1LL<<i;}
inline LL _U(int i){return _1(i) - 1;};

template<class T> inline T low_bit(T x) {return x & -x;}
template<class T> inline T high_bit(T x) {T p = low_bit(x);while (p != x) x -= p, p = low_bit(x);return p;}
template<class T> inline T cover_bit(T x){T p = 1; while (p < x) p <<= 1;return p;}

inline int count_bits(int x){
    x = (x & 0x55555555) + ((x & 0xaaaaaaaa) >> 1);
    x = (x & 0x33333333) + ((x & 0xcccccccc) >> 2);
    x = (x & 0x0f0f0f0f) + ((x & 0xf0f0f0f0) >> 4);
    x = (x & 0x00ff00ff) + ((x & 0xff00ff00) >> 8);
    x = (x & 0x0000ffff) + ((x & 0xffff0000) >> 16);
    return x;
}

inline int count_bits(LL x){
    x = (x & 0x5555555555555555LL) + ((x & 0xaaaaaaaaaaaaaaaaLL) >> 1);
    x = (x & 0x3333333333333333LL) + ((x & 0xccccccccccccccccLL) >> 2);
    x = (x & 0x0f0f0f0f0f0f0f0fLL) + ((x & 0xf0f0f0f0f0f0f0f0LL) >> 4);
    x = (x & 0x00ff00ff00ff00ffLL) + ((x & 0xff00ff00ff00ff00LL) >> 8);
    x = (x & 0x0000ffff0000ffffLL) + ((x & 0xffff0000ffff0000LL) >> 16);
    x = (x & 0x00000000ffffffffLL) + ((x & 0xffffffff00000000LL) >> 32);
    return x;
}

inline int reverse_bits(int x){
    x = ((x >> 1) & 0x55555555) | ((x << 1) & 0xaaaaaaaa);
    x = ((x >> 2) & 0x33333333) | ((x << 2) & 0xcccccccc);
    x = ((x >> 4) & 0x0f0f0f0f) | ((x << 4) & 0xf0f0f0f0);
    x = ((x >> 8) & 0x00ff00ff) | ((x << 8) & 0xff00ff00);
    x = ((x >>16) & 0x0000ffff) | ((x <<16) & 0xffff0000);
    return x;
}

inline LL reverse_bits(LL x){
    x = ((x >> 1) & 0x5555555555555555LL) | ((x << 1) & 0xaaaaaaaaaaaaaaaaLL);
    x = ((x >> 2) & 0x3333333333333333LL) | ((x << 2) & 0xccccccccccccccccLL);
    x = ((x >> 4) & 0x0f0f0f0f0f0f0f0fLL) | ((x << 4) & 0xf0f0f0f0f0f0f0f0LL);
    x = ((x >> 8) & 0x00ff00ff00ff00ffLL) | ((x << 8) & 0xff00ff00ff00ff00LL);
    x = ((x >>16) & 0x0000ffff0000ffffLL) | ((x <<16) & 0xffff0000ffff0000LL);
    x = ((x >>32) & 0x00000000ffffffffLL) | ((x <<32) & 0xffffffff00000000LL);
    return x;
}

// <<= ` 2. Number theory .,

inline void INC(int &a, int b){a += b; if (a >= MOD) a -= MOD;}
inline int sum(int a, int b){a += b; if (a >= MOD) a -= MOD; return a;}
inline void DEC(int &a, int b){a -= b; if (a < 0) a += MOD;}
inline int dff(int a, int b){a -= b; if (a < 0) a  += MOD; return a;}
inline void MUL(int &a, int b){a = (LL)a * b % MOD;}
inline int pdt(int a, int b){return (LL)a * b % MOD;}

inline int sum(int a, int b, int c){return sum(sum(a, b), c);}
inline int sum(int a, int b, int c, int d){return sum(sum(a, b), sum(c, d));}
inline int pdt(int a, int b, int c){return pdt(pdt(a, b), c);}
inline int pdt(int a, int b, int c, int d){return pdt(pdt(pdt(a, b), c), d);}

inline int pow(int a, LL b){
    int c(1); while (b){
        if (b&1) MUL(c, a);
        MUL(a, a), b >>= 1;
    }
    return c;
}

template<class T> inline T pow(T a, LL b){
    T c(1); while (b){
        if (b&1) c *= a;
        a *= a, b >>= 1;
    }
    return c;
}

inline int _I(int b){
    int a = MOD, x1 = 0, x2 = 1, q;
    while (true){
        q = a / b, a %= b;
        if (!a) return (x2 + MOD) % MOD;
        DEC(x1, pdt(q, x2));

        q = b / a, b %= a;
        if (!b) return (x1 + MOD) % MOD;
        DEC(x2, pdt(q, x1));
    }
}

inline void DIA(int &a, int b){MUL(a, _I(b));}
inline int qtt(int a, int b){return pdt(a, _I(b));}

inline int phi(int n){
    int res = n; for (int i=2;sqr(i)<=n;++i) if (!(n%i)){
        DEC(res, qtt(res, i));
        do{n /= i;} while(!(n%i));
    }
    if (n != 1)
        DEC(res, qtt(res, n));
    return res;
}

// <<= '9. Comutational Geometry .,

struct Po; struct Line; struct Seg;

inline int sgn(DB x){return x < -EPS ? -1 : x > EPS;}
inline int sgn(DB x, DB y){return sgn(x - y);}

struct Po{
    DB x, y;
    Po(DB _x = 0, DB _y = 0):x(_x), y(_y){}

    friend istream& operator >>(istream& in, Po &p){return in >> p.x >> p.y;}
    friend ostream& operator <<(ostream& out, Po p){return out << "(" << p.x << ", " << p.y << ")";}

    friend bool operator ==(Po, Po);
    friend bool operator !=(Po, Po);

    friend Po operator +(Po, Po);
    friend Po operator -(Po, Po);
    friend Po operator *(Po, DB);
    friend Po operator /(Po, DB);

    bool operator < (const Po &rhs) const{return sgn(x, rhs.x) < 0 || sgn(x, rhs.x) == 0 && sgn(y, rhs.y) < 0;}
    Po operator -() const{return Po(-x, -y);}
    Po& operator +=(Po rhs){x += rhs.x, y += rhs.y; return *this;}
    Po& operator -=(Po rhs){x -= rhs.x, y -= rhs.y; return *this;}
    Po& operator *=(DB k){x *= k, y *= k; return *this;}
    Po& operator /=(DB k){x /= k, y /= k; return *this;}

    DB length_sqr() const{return sqr(x) + sqr(y);}
    DB length() const{return sqrt(length_sqr());}
    Po unit() const{return (*this) / length();}
    bool dgt() const{return !sgn(x) && !sgn(y);}
    DB atan() const{return atan2(y, x);}
    void input(){scanf("%lf %lf", &x, &y);}
};

bool operator ==(Po a, Po b){return sgn(a.x - b.x) == 0 && sgn(a.y - b.y) == 0;}
bool operator !=(Po a, Po b){return sgn(a.x - b.x) != 0 || sgn(a.y - b.y) != 0;}
Po operator +(Po a, Po b){return Po(a.x + b.x, a.y + b.y);}
Po operator -(Po a, Po b){return Po(a.x - b.x, a.y - b.y);}
Po operator *(Po a, DB k){return Po(a.x * k, a.y * k);}
Po operator *(DB k, Po a){return a * k;}
Po operator /(Po a, DB k){return Po(a.x / k, a.y / k);}

struct Line{
    Po a, b;
    Line(const Po &a = Po(), const Po &b = Po()):a(a), b(b){}
    Line(const Line &l):a(l.a), b(l.b){}
    Line(DB x0, DB y0, DB x1, DB y1):a(Po(x0, y0)), b(Po(x1, y1)){}

    void getequation(DB, DB, DB) const;

    Line operator +(Po x) const{return Line(a + x, b + x);}
    friend ostream& operator <<(ostream& out, Line p){return out << p.a << "-" << p.b;}
    DB length() const{return (b - a).length();}
    bool dgt() const{return (a-b).dgt();}
    void input(){a.input(), b.input();}
};

struct Seg: Line{
    Seg(const Po &a = Po(), const Po &b = Po()):Line(a, b){}
    Seg(const Line &l):Line(l){}
    Seg(DB x0, DB y0, DB x1, DB y1):Line(x0, y0, x1, y1){}
};

#define innerProduct dot
#define scalarProduct dot
#define dotProduct dot
#define outerProduct det
#define crossProduct det

inline DB dot(const DB &x1, const DB &y1, const DB &x2, const DB &y2){return x1 * x2 + y1 * y2;}
inline DB dot(const Po &a, const Po &b){return dot(a.x, a.y, b.x, b.y);}
inline DB dot(const Po &p0, const Po &p1, const Po &p2){return dot(p1 - p0, p2 - p0);}
inline DB dot(const Po &o, const Line &l){return dot(o, l.a, l.b);}
inline DB dot(const Line &l, const Po &o){return dot(o, l.a, l.b);}
inline DB dot(const Line &l1, const Line &l2){return dot(l1.b - l1.a, l2.b - l2.a);}

inline DB det(const DB &x1, const DB &y1, const DB &x2, const DB &y2){return x1 * y2 - x2 * y1;}
inline DB det(const Po &a, const Po &b){return det(a.x, a.y, b.x, b.y);}
inline DB det(const Po &p0, const Po &p1, const Po &p2){return det(p1 - p0, p2 - p0);}
inline DB det(const Po &o, const Line &l){return det(o, l.a, l.b);}
inline DB det(const Line &l, const Po &o){return det(o, l.a, l.b);}
inline DB det(const Line &l1, const Line &l2){return det(l1.b - l1.a, l2.b - l2.a);}

void Line::getequation(DB A, DB B, DB C) const{
    A = a.y - b.y, B = b.x - a.x, C = det(a, b);
}

template<class T1, class T2> inline DB dist(const T1 &x, const T2 &y){return sqrt(dist_sqr(x, y));}
template<class T1, class T2, class T3> inline DB dist(const T1 &x, const T2 &y, const T3 &z){return sqrt(dist_sqr(x, y, z));}
template<class T1, class T2> inline int dett(const T1 &x, const T2 &y){return sgn(det(x, y));}
template<class T1, class T2> inline int dott(const T1 &x, const T2 &y){return sgn(dot(x, y));}
template<class T1, class T2, class T3> inline int dett(const T1 &x, const T2 &y, const T3 &z){return sgn(det(x, y, z));}
template<class T1, class T2, class T3> inline int dott(const T1 &x, const T2 &y, const T3 &z){return sgn(dot(x, y, z));}
template<class T1, class T2, class T3, class T4> inline int dett(const T1 &x, const T2 &y, const T3 &z, const T4 &w){return sgn(det(x, y, z, w));}
template<class T1, class T2, class T3, class T4> inline int dott(const T1 &x, const T2 &y, const T3 &z, const T4 &w){return sgn(dot(x, y, z, w));}

inline DB dist_sqr(const DB &x, const DB &y){return sqr(x) + sqr(y);}
inline DB dist_sqr(const DB &x, const DB &y, const DB &z){return sqr(x) + sqr(y) + sqr(z);}
inline DB dist_sqr(const Po &a, const Po &b){return sqr(a.x - b.x) + sqr(a.y - b.y);}
inline DB dist_sqr(const Po &p, const Line &l){Po v0 = l.b - l.a, v1 = p - l.a; return sqr(fabs(det(v0, v1))) / v0.length_sqr();}
inline DB dist_sqr(const Po &p, const Seg &l){
    Po v0 = l.b - l.a, v1 = p - l.a, v2 = p - l.b;
    if (sgn(dot(v0, v1)) * sgn(dot(v0, v2)) <= 0) return dist_sqr(p, Line(l));
    else return min(v1.length_sqr(), v2.length_sqr());
}
inline DB dist_sqr(Line l, Po p){return dist_sqr(p, l);}
inline DB dist_sqr(Seg l, Po p){return dist_sqr(p, l);}
inline DB dist_sqr(Line l1, Line l2){
    if (sgn(det(l1, l2)) != 0) return 0;
    return dist_sqr(l1.a, l2);
}
inline DB dist_sqr(Line l1, Seg l2){
    Po v0 = l1.b - l1.a, v1 = l2.a - l1.a, v2 = l2.b - l1.a; DB c1 = det(v0, v1), c2 = det(v0, v2);
    return sgn(c1) != sgn(c2) ? 0 : sqr(min(fabs(c1), fabs(c2))) / v0.length_sqr();
}

bool isIntersect(Seg l1, Seg l2){

    if (l1.a == l2.a || l1.a == l2.b || l1.b == l2.a || l1.b == l2.b) return true;

    return
        min(l1.a.x, l1.b.x) <= max(l2.a.x, l2.b.x) &&
        min(l2.a.x, l2.b.x) <= max(l1.a.x, l1.b.x) &&
        min(l1.a.y, l1.b.y) <= max(l2.a.y, l2.b.y) &&
        min(l2.a.y, l2.b.y) <= max(l1.a.y, l1.b.y) &&
    sgn( det(l1.a, l2.a, l2.b) ) * sgn( det(l1.b, l2.a, l2.b) ) <= 0 &&
    sgn( det(l2.a, l1.a, l1.b) ) * sgn( det(l2.b, l1.a, l1.b) ) <= 0;

}

inline DB dist_sqr(Seg l1, Seg l2){
    if (isIntersect(l1, l2)) return 0;
    else return min(dist_sqr(l1.a, l2), dist_sqr(l1.b, l2), dist_sqr(l2.a, l1), dist_sqr(l2.b, l1));
}

inline bool isOnSide(const Po &p, const Seg &l){
    return p == l.a || p == l.b;
}

inline bool isOnSeg(const Po &p, const Seg &l){
    return sgn(det(p, l.a, l.b)) == 0 &&
        sgn(l.a.x, p.x) * sgn(l.b.x, p.x) <= 0 && sgn(l.a.y, p.y) * sgn(l.b.y, p.y) <= 0;
}

inline bool isOnSegg(const Po &p, const Seg &l){
    return sgn(det(p, l.a, l.b)) == 0 &&
        sgn(l.a.x, p.x) * sgn(l.b.x, p.x) < 0 && sgn(l.a.y, p.y) * sgn(l.b.y, p.y) < 0;
}

inline Po intersect(const Line &l1, const Line &l2){
    return l1.a + (l1.b - l1.a) * (det(l2.a, l1.a, l2.b) / det(l2, l1));
}

// perpendicular foot
inline Po intersect(const Po & p, const Line &l){
    return intersect(Line(p, p + Po(l.a.y - l.b.y, l.b.x - l.a.x)), l);
}

inline Po rotate(Po p, DB alpha, Po o = Po()){
    p.x -= o.x, p.y -= o.y;
    return Po(p.x * cos(alpha) - p.y * sin(alpha), p.y * cos(alpha) + p.x * sin(alpha)) + o;
}

// <<= ' A. Random Event ..

inline int rand32(){return (bool(rand() & 1) << 30) | (rand() << 15) + rand();}
inline int random32(int l, int r){return rand32() % (r - l + 1) + l;}
inline int random(int l, int r){return rand() % (r - l + 1) + l;}
int dice(){return rand() % 6;}
bool coin(){return rand() % 2;}

// <<= ' 0. I/O Accelerator interface .,

template<class T> inline T& RD(T &x){
    //cin >> x;
    scanf("%d", &x);
    //char c; for (c = getchar(); c < '0'; c = getchar()); x = c - '0'; for (c = getchar(); c >= '0'; c = getchar()) x = x * 10 + c - '0';
    //char c; c = getchar(); x = c - '0'; for (c = getchar(); c >= '0'; c = getchar()) x = x * 10 + c - '0';
    return x;
}

int ____Case; template<class T> inline void OT(const T &x){
    //if (x == -1) printf("Case %d: NO\n", ++____Case);
    //else printf("Case %d: %d\n", ++____Case, x);
    //printf("%I64d\n", x);
    //printf("%.2lf\n", x);
    //printf("%d\n", x);
    cout << x << endl;
}

/* .................................................................................................................................. */

const int N = 1000004;

struct rec {
	int y,l,r,bel;
	rec(int _y,int _l,int _r,int _bel) : y(_y), l(_l), r(_r), bel(_bel) {}
	rec() {}
}B[N];

pair<DB, DB> wall; int total;
int n,hl,hr,pt[N],C[N],fl[N];

int f(int j){
    pair<DB, DB> nPt = MP(100000,((abs(j) & 1) ? (100 - hr) : (hr)) + 100 * j);
    DB k; if (nPt.se != hl) k = 100000. / (nPt.se - wall.se); else return 0;
    RST(C);
    int tAns = 0; PII cnt = MP(0,0);
    REP_1(i, total) {
        DB tConv = ((DB)B[i].y - hl) * k;
        if (tConv >= B[i].l && tConv <= B[i].r) {
            ++C[B[i].bel];
            if (C[B[i].bel] > 1) {
                tAns = -INF; break ;
            }
            tAns += pt[B[i].bel];
            if (fl[B[i].bel]) ++cnt.fi; else ++cnt.se;
        }
    }

    return cnt.fi + cnt.se == abs(j) ? tAns : 0;
}

int main() {

#ifndef ONLINE_JUDGE
    freopen("in.txt", "r", stdin);
#endif

	cin >> hl >> hr >> n;
	REP_1(i ,n) {
			int p,l,r,y; char f;
		scanf("%d%*c%c%d%d",&p,&f,&l,&r); pt[i] = p;
		if (f == 'T') y = 100; else y = 0; fl[i] = y == 100;
		FOR_1(j,-n,n) {
			B[++total] = rec(y + 200 * j,l,r,i);
		}
	}

	wall = MP(0,hl); int ans = 0;
	FOR_1(j,-2 * n,2 * n){
	    checkMax(ans, f(j));
	}
	cout << ans << endl;
}


#define LOCAL

/** ` Micro Mezzo Macro Flation -- Overheated Economy ., **/

#include <functional>
#include <algorithm>
#include <iostream>
#include <iomanip>
#include <numeric>
#include <sstream>
#include <cstring>
#include <cassert>
#include <cstdio>
#include <string>
#include <vector>
#include <bitset>
#include <queue>
#include <stack>
#include <cmath>
#include <ctime>
#include <list>
#include <set>
#include <map>

using namespace std;

#define REP(i, n) for (int i=0;i<int(n);++i)
#define FOR(i, a, b) for (int i=int(a);i<int(b);++i)
#define DWN(i, b, a) for (int i=int(b-1);i>=int(a);--i)
#define REP_1(i, n) for (int i=1;i<=int(n);++i)
#define FOR_1(i, a, b) for (int i=int(a);i<=int(b);++i)
#define DWN_1(i, b, a) for (int i=int(b);i>=int(a);--i)
#define REP_C(i, n) for (int n____=int(n),i=0;i<n____;++i)
#define FOR_C(i, a, b) for (int b____=int(b),i=a;i<b____;++i)
#define DWN_C(i, b, a) for (int a____=int(a),i=b-1;i>=a____;--i)
#define REP_N(i, n) for (i=0;i<int(n);++i)
#define FOR_N(i, a, b) for (i=int(a);i<int(b);++i)
#define DWN_N(i, b, a) for (i=int(b-1);i>=int(a);--i)
#define REP_1_C(i, n) for (int n____=int(n),i=1;i<=n____;++i)
#define FOR_1_C(i, a, b) for (int b____=int(b),i=a;i<=b____;++i)
#define DWN_1_C(i, b, a) for (int a____=int(a),i=b;i>=a____;--i)
#define REP_1_N(i, n) for (i=1;i<=int(n);++i)
#define FOR_1_N(i, a, b) for (i=int(a);i<=int(b);++i)
#define DWN_1_N(i, b, a) for (i=int(b);i>=int(a);--i)
#define REP_C_N(i, n) for (n____=int(n),i=0;i<n____;++i)
#define FOR_C_N(i, a, b) for (b____=int(b),i=a;i<b____;++i)
#define DWN_C_N(i, b, a) for (a____=int(a),i=b-1;i>=a____;--i)
#define REP_1_C_N(i, n) for (n____=int(n),i=1;i<=n____;++i)
#define FOR_1_C_N(i, a, b) for (b____=int(b),i=a;i<=b____;++i)
#define DWN_1_C_N(i, b, a) for (a____=int(a),i=b;i>=a____;--i)

//#define ECH(it, A) for (typeof(A.begin()) it=A.begin(); it != A.end(); ++it)
#define ECH(it, A) for (__typeof(A.begin()) it=A.begin(); it != A.end(); ++it)

#define DO(n) for ( int ____n ## __line__ = n; ____n ## __line__ -- ; )

#define _TO(i, a, b) int s_=a<b?1:-1,b_=b+s_;for(int i=a+s_;i!=b_;i+=s_)
#define TO(i, a, b) int s_=a<b?1:-1,b_=b+s_;for(int i=a;i!=b_;i+=s_)
#define TO_1(i, a, b) int s_=a<b?1:-1,b_=b;for(int i=a;i!=b_;i+=s_)
#define SQZ(i, j, a, b) for (int i=int(a),j=int(b)-1;i<j;++i,--j)
#define SQZ_1(i, j, a, b) for (int i=int(a),j=int(b);i<=j;++i,--j)
#define REP_2(i, j, n, m) REP(i, n) REP(j, m)
#define REP_2_1(i, j, n, m) REP_1(i, n) REP_1(j, m)

#define ALL(A) A.begin(), A.end()
#define LLA(A) A.rbegin(), A.rend()
#define CPY(A, B) memcpy(A, B, sizeof(A))
#define INS(A, P, B) A.insert(A.begin() + P, B)
#define ERS(A, P) A.erase(A.begin() + P)
#define BSC(A, X) find(ALL(A), X) // != A.end()
#define CTN(T, x) (T.find(x) != T.end())
#define SZ(A) int(A.size())
#define PB push_back
#define MP(A, B) make_pair(A, B)

#define Rush int T____; RD(T____); DO(T____)

#define Display(A, n, m) {           \
	REP(i, n){		                          \
        REP(j, m) cout << A[i][j] << " ";\
		cout << endl;				\
	}						\
}

#define Display_1(A, n, m) {				\
	REP_1(i, n){		\
        REP_1(j, m) cout << A[i][j] << " ";\
		cout << endl;				\
	}						\
}

#pragma comment(linker, "/STACK:36777216")
//#pragma GCC optimize ("O2")
#define Ruby system("ruby main.rb")
#define Haskell system("runghc main.hs")
#define Python system("python main.py")
#define Pascal system("fpc main.pas")

#define fi first
#define se second

typedef long long LL;
typedef long double DB;
typedef unsigned UINT;
typedef unsigned long long ULL;

typedef vector<int> VI;
typedef vector<char> VC;
typedef vector<string> VS;
typedef vector<LL> VL;
typedef vector<DB> VD;
typedef set<int> SI;
typedef set<string> SS;
typedef set<LL> SL;
typedef set<DB> SD;
typedef map<int, int> MII;
typedef map<string, int> MSI;
typedef map<LL, int> MLI;
typedef map<DB, int> MDI;
typedef map<int, bool> MIB;
typedef map<string, bool> MSB;
typedef map<LL, bool> MLB;
typedef map<DB, bool> MDB;
typedef pair<int, int> PII;
typedef pair<int, bool> PIB;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef vector<VII> VVII;
typedef set<PII> SII;
typedef map<PII, int> MPIII;
typedef map<PII, bool> MPIIB;

template<class T> inline T& RD(T &);
template<class T> inline void OT(const T &);
inline LL RD(){LL x; return RD(x);}
inline char& RC(char &c){scanf(" %c", &c); return c;}
inline char RC(){char c; return RC(c);}
inline DB& RF(DB &x){scanf("%lf", &x); return x;}
inline DB RF(){DB x; return RF(x);}
inline char* RS(char *s){scanf("%s", s); return s;}

template<class T0, class T1> inline T0& RD(T0 &x0, T1 &x1){RD(x0), RD(x1); return x0;}
template<class T0, class T1, class T2> inline T0& RD(T0 &x0, T1 &x1, T2 &x2){RD(x0), RD(x1), RD(x2); return x0;}
template<class T0, class T1, class T2, class T3> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3){RD(x0), RD(x1), RD(x2), RD(x3); return x0;}
template<class T0, class T1, class T2, class T3, class T4> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4); return x0;}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5); return x0;}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5, T6 &x6){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5), RD(x6); return x0;}
template<class T0, class T1> inline void OT(const T0 &x0, const T1 &x1){OT(x0), OT(x1);}
template<class T0, class T1, class T2> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2){OT(x0), OT(x1), OT(x2);}
template<class T0, class T1, class T2, class T3> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3){OT(x0), OT(x1), OT(x2), OT(x3);}
template<class T0, class T1, class T2, class T3, class T4> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4, const T5 &x5){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4, const T5 &x5, const T6 &x6){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5), OT(x6);}

inline char& RC(char &a, char &b){RC(a), RC(b); return a;}
inline char& RC(char &a, char &b, char &c){RC(a), RC(b), RC(c); return a;}
inline char& RC(char &a, char &b, char &c, char &d){RC(a), RC(b), RC(c), RC(d); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e){RC(a), RC(b), RC(c), RC(d), RC(e); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e, char &f){RC(a), RC(b), RC(c), RC(d), RC(e), RC(f); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e, char &f, char &g){RC(a), RC(b), RC(c), RC(d), RC(e), RC(f), RC(g); return a;}
inline DB& RF(DB &a, DB &b){RF(a), RF(b); return a;}
inline DB& RF(DB &a, DB &b, DB &c){RF(a), RF(b), RF(c); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d){RF(a), RF(b), RF(c), RF(d); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e){RF(a), RF(b), RF(c), RF(d), RF(e); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e, DB &f){RF(a), RF(b), RF(c), RF(d), RF(e), RF(f); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e, DB &f, DB &g){RF(a), RF(b), RF(c), RF(d), RF(e), RF(f), RF(g); return a;}
inline void RS(char *s1, char *s2){RS(s1), RS(s2);}
inline void RS(char *s1, char *s2, char *s3){RS(s1), RS(s2), RS(s3);}

template<class T> inline void RST(T &A){memset(A, 0, sizeof(A));}
template<class T0, class T1> inline void RST(T0 &A0, T1 &A1){RST(A0), RST(A1);}
template<class T0, class T1, class T2> inline void RST(T0 &A0, T1 &A1, T2 &A2){RST(A0), RST(A1), RST(A2);}
template<class T0, class T1, class T2, class T3> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3){RST(A0), RST(A1), RST(A2), RST(A3);}
template<class T0, class T1, class T2, class T3, class T4> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5), RST(A6);}
template<class T> inline void FLC(T &A, int x){memset(A, x, sizeof(A));}
template<class T0, class T1> inline void FLC(T0 &A0, T1 &A1, int x){FLC(A0, x), FLC(A1, x);}
template<class T0, class T1, class T2> inline void FLC(T0 &A0, T1 &A1, T2 &A2){FLC(A0), FLC(A1), FLC(A2);}
template<class T0, class T1, class T2, class T3> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3){FLC(A0), FLC(A1), FLC(A2), FLC(A3);}
template<class T0, class T1, class T2, class T3, class T4> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4), FLC(A5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4), FLC(A5), FLC(A6);}
template<class T> inline void CLR(priority_queue<T, vector<T>, less<T> > &Q){while (!Q.empty()) Q.pop();}
template<class T> inline void CLR(priority_queue<T, vector<T>, greater<T> > &Q){while (!Q.empty()) Q.pop();}
template<class T> inline void CLR(T &A){A.clear();}
template<class T0, class T1> inline void CLR(T0 &A0, T1 &A1){CLR(A0), CLR(A1);}
template<class T0, class T1, class T2> inline void CLR(T0 &A0, T1 &A1, T2 &A2){CLR(A0), CLR(A1), CLR(A2);}
template<class T0, class T1, class T2, class T3> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3){CLR(A0), CLR(A1), CLR(A2), CLR(A3);}
template<class T0, class T1, class T2, class T3, class T4> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5), CLR(A6);}
template<class T> inline void CLR(T &A, int n){REP(i, n) CLR(A[i]);}

template<class T> inline T& SRT(T &A){sort(ALL(A)); return A;}
template<class T, class C> inline T& SRT(T &A, C B){sort(ALL(A), B); return A;}

/** Add - On **/

const int MOD = 99990001;
//int MOD = 1000000007;
const int INF = 0x3f3f3f3f;
const DB EPS = 1e-8;
const DB OO = 1e15;
const DB PI = acos(-1.0); //M_PI;

// <<= ` 0. Daily Use .,

template<class T> inline void checkMin(T &a,const T b){if (b<a) a=b;}
template<class T> inline void checkMax(T &a,const T b){if (b>a) a=b;}
template <class T, class C> inline void checkMin(T& a, const T b, C c){if (c(b,a)) a = b;}
template <class T, class C> inline void checkMax(T& a, const T b, C c){if (c(a,b)) a = b;}
template<class T> inline T min(T a, T b, T c){return min(min(a, b), c);}
template<class T> inline T max(T a, T b, T c){return max(max(a, b), c);}
template<class T> inline T min(T a, T b, T c, T d){return min(min(a, b), min(c, d));}
template<class T> inline T max(T a, T b, T c, T d){return max(max(a, b), max(c, d));}
template<class T> inline T sqr(T a){return a*a;}
template<class T> inline T cub(T a){return a*a*a;}
inline int Ceil(int x, int y){return (x - 1) / y + 1;}

// <<= ` 1. Bitwise Operation .,
inline bool _1(int x, int i){return x&1<<i;}
inline bool _1(LL x, int i){return x&1LL<<i;}
inline LL _1(int i){return 1LL<<i;}
inline LL _U(int i){return _1(i) - 1;};

template<class T> inline T low_bit(T x) {return x & -x;}
template<class T> inline T high_bit(T x) {T p = low_bit(x);while (p != x) x -= p, p = low_bit(x);return p;}
template<class T> inline T cover_bit(T x){T p = 1; while (p < x) p <<= 1;return p;}

inline int count_bits(int x){
    x = (x & 0x55555555) + ((x & 0xaaaaaaaa) >> 1);
    x = (x & 0x33333333) + ((x & 0xcccccccc) >> 2);
    x = (x & 0x0f0f0f0f) + ((x & 0xf0f0f0f0) >> 4);
    x = (x & 0x00ff00ff) + ((x & 0xff00ff00) >> 8);
    x = (x & 0x0000ffff) + ((x & 0xffff0000) >> 16);
    return x;
}

inline int count_bits(LL x){
    x = (x & 0x5555555555555555LL) + ((x & 0xaaaaaaaaaaaaaaaaLL) >> 1);
    x = (x & 0x3333333333333333LL) + ((x & 0xccccccccccccccccLL) >> 2);
    x = (x & 0x0f0f0f0f0f0f0f0fLL) + ((x & 0xf0f0f0f0f0f0f0f0LL) >> 4);
    x = (x & 0x00ff00ff00ff00ffLL) + ((x & 0xff00ff00ff00ff00LL) >> 8);
    x = (x & 0x0000ffff0000ffffLL) + ((x & 0xffff0000ffff0000LL) >> 16);
    x = (x & 0x00000000ffffffffLL) + ((x & 0xffffffff00000000LL) >> 32);
    return x;
}

inline int reverse_bits(int x){
    x = ((x >> 1) & 0x55555555) | ((x << 1) & 0xaaaaaaaa);
    x = ((x >> 2) & 0x33333333) | ((x << 2) & 0xcccccccc);
    x = ((x >> 4) & 0x0f0f0f0f) | ((x << 4) & 0xf0f0f0f0);
    x = ((x >> 8) & 0x00ff00ff) | ((x << 8) & 0xff00ff00);
    x = ((x >>16) & 0x0000ffff) | ((x <<16) & 0xffff0000);
    return x;
}

inline LL reverse_bits(LL x){
    x = ((x >> 1) & 0x5555555555555555LL) | ((x << 1) & 0xaaaaaaaaaaaaaaaaLL);
    x = ((x >> 2) & 0x3333333333333333LL) | ((x << 2) & 0xccccccccccccccccLL);
    x = ((x >> 4) & 0x0f0f0f0f0f0f0f0fLL) | ((x << 4) & 0xf0f0f0f0f0f0f0f0LL);
    x = ((x >> 8) & 0x00ff00ff00ff00ffLL) | ((x << 8) & 0xff00ff00ff00ff00LL);
    x = ((x >>16) & 0x0000ffff0000ffffLL) | ((x <<16) & 0xffff0000ffff0000LL);
    x = ((x >>32) & 0x00000000ffffffffLL) | ((x <<32) & 0xffffffff00000000LL);
    return x;
}

// <<= ` 2. Number theory .,

inline void INC(int &a, int b){a += b; if (a >= MOD) a -= MOD;}
inline int sum(int a, int b){a += b; if (a >= MOD) a -= MOD; return a;}
inline void DEC(int &a, int b){a -= b; if (a < 0) a += MOD;}
inline int dff(int a, int b){a -= b; if (a < 0) a  += MOD; return a;}
inline void MUL(int &a, int b){a = (LL)a * b % MOD;}
inline int pdt(int a, int b){return (LL)a * b % MOD;}

inline int sum(int a, int b, int c){return sum(sum(a, b), c);}
inline int sum(int a, int b, int c, int d){return sum(sum(a, b), sum(c, d));}
inline int pdt(int a, int b, int c){return pdt(pdt(a, b), c);}
inline int pdt(int a, int b, int c, int d){return pdt(pdt(pdt(a, b), c), d);}

inline int pow(int a, LL b){
    int c(1); while (b){
        if (b&1) MUL(c, a);
        MUL(a, a), b >>= 1;
    }
    return c;
}

template<class T> inline T pow(T a, LL b){
    T c(1); while (b){
        if (b&1) c *= a;
        a *= a, b >>= 1;
    }
    return c;
}

inline int _I(int b){
    int a = MOD, x1 = 0, x2 = 1, q;
    while (true){
        q = a / b, a %= b;
        if (!a) return (x2 + MOD) % MOD;
        DEC(x1, pdt(q, x2));

        q = b / a, b %= a;
        if (!b) return (x1 + MOD) % MOD;
        DEC(x2, pdt(q, x1));
    }
}

inline void DIA(int &a, int b){MUL(a, _I(b));}
inline int qtt(int a, int b){return pdt(a, _I(b));}

inline int phi(int n){
    int res = n; for (int i=2;sqr(i)<=n;++i) if (!(n%i)){
        DEC(res, qtt(res, i));
        do{n /= i;} while(!(n%i));
    }
    if (n != 1)
        DEC(res, qtt(res, n));
    return res;
}

// <<= '9. Comutational Geometry .,

struct Po; struct Line; struct Seg;

inline int sgn(DB x){return x < -EPS ? -1 : x > EPS;}
inline int sgn(DB x, DB y){return sgn(x - y);}

struct Po{
    DB x, y;
    Po(DB _x = 0, DB _y = 0):x(_x), y(_y){}

    friend istream& operator >>(istream& in, Po &p){return in >> p.x >> p.y;}
    friend ostream& operator <<(ostream& out, Po p){return out << "(" << p.x << ", " << p.y << ")";}

    friend bool operator ==(Po, Po);
    friend bool operator !=(Po, Po);

    friend Po operator +(Po, Po);
    friend Po operator -(Po, Po);
    friend Po operator *(Po, DB);
    friend Po operator /(Po, DB);

    bool operator < (const Po &rhs) const{return sgn(x, rhs.x) < 0 || sgn(x, rhs.x) == 0 && sgn(y, rhs.y) < 0;}
    Po operator -() const{return Po(-x, -y);}
    Po& operator +=(Po rhs){x += rhs.x, y += rhs.y; return *this;}
    Po& operator -=(Po rhs){x -= rhs.x, y -= rhs.y; return *this;}
    Po& operator *=(DB k){x *= k, y *= k; return *this;}
    Po& operator /=(DB k){x /= k, y /= k; return *this;}

    DB length_sqr() const{return sqr(x) + sqr(y);}
    DB length() const{return sqrt(length_sqr());}
    Po unit() const{return (*this) / length();}
    bool dgt() const{return !sgn(x) && !sgn(y);}
    DB atan() const{return atan2(y, x);}
    void input(){scanf("%lf %lf", &x, &y);}
};

bool operator ==(Po a, Po b){return sgn(a.x - b.x) == 0 && sgn(a.y - b.y) == 0;}
bool operator !=(Po a, Po b){return sgn(a.x - b.x) != 0 || sgn(a.y - b.y) != 0;}
Po operator +(Po a, Po b){return Po(a.x + b.x, a.y + b.y);}
Po operator -(Po a, Po b){return Po(a.x - b.x, a.y - b.y);}
Po operator *(Po a, DB k){return Po(a.x * k, a.y * k);}
Po operator *(DB k, Po a){return a * k;}
Po operator /(Po a, DB k){return Po(a.x / k, a.y / k);}

struct Line{
    Po a, b;
    Line(const Po &a = Po(), const Po &b = Po()):a(a), b(b){}
    Line(const Line &l):a(l.a), b(l.b){}
    Line(DB x0, DB y0, DB x1, DB y1):a(Po(x0, y0)), b(Po(x1, y1)){}

    void getequation(DB, DB, DB) const;

    Line operator +(Po x) const{return Line(a + x, b + x);}
    friend ostream& operator <<(ostream& out, Line p){return out << p.a << "-" << p.b;}
    DB length() const{return (b - a).length();}
    bool dgt() const{return (a-b).dgt();}
    void input(){a.input(), b.input();}
};

struct Seg: Line{
    Seg(const Po &a = Po(), const Po &b = Po()):Line(a, b){}
    Seg(const Line &l):Line(l){}
    Seg(DB x0, DB y0, DB x1, DB y1):Line(x0, y0, x1, y1){}
};

#define innerProduct dot
#define scalarProduct dot
#define dotProduct dot
#define outerProduct det
#define crossProduct det

inline DB dot(const DB &x1, const DB &y1, const DB &x2, const DB &y2){return x1 * x2 + y1 * y2;}
inline DB dot(const Po &a, const Po &b){return dot(a.x, a.y, b.x, b.y);}
inline DB dot(const Po &p0, const Po &p1, const Po &p2){return dot(p1 - p0, p2 - p0);}
inline DB dot(const Po &o, const Line &l){return dot(o, l.a, l.b);}
inline DB dot(const Line &l, const Po &o){return dot(o, l.a, l.b);}
inline DB dot(const Line &l1, const Line &l2){return dot(l1.b - l1.a, l2.b - l2.a);}

inline DB det(const DB &x1, const DB &y1, const DB &x2, const DB &y2){return x1 * y2 - x2 * y1;}
inline DB det(const Po &a, const Po &b){return det(a.x, a.y, b.x, b.y);}
inline DB det(const Po &p0, const Po &p1, const Po &p2){return det(p1 - p0, p2 - p0);}
inline DB det(const Po &o, const Line &l){return det(o, l.a, l.b);}
inline DB det(const Line &l, const Po &o){return det(o, l.a, l.b);}
inline DB det(const Line &l1, const Line &l2){return det(l1.b - l1.a, l2.b - l2.a);}

void Line::getequation(DB A, DB B, DB C) const{
    A = a.y - b.y, B = b.x - a.x, C = det(a, b);
}

template<class T1, class T2> inline DB dist(const T1 &x, const T2 &y){return sqrt(dist_sqr(x, y));}
template<class T1, class T2, class T3> inline DB dist(const T1 &x, const T2 &y, const T3 &z){return sqrt(dist_sqr(x, y, z));}
template<class T1, class T2> inline int dett(const T1 &x, const T2 &y){return sgn(det(x, y));}
template<class T1, class T2> inline int dott(const T1 &x, const T2 &y){return sgn(dot(x, y));}
template<class T1, class T2, class T3> inline int dett(const T1 &x, const T2 &y, const T3 &z){return sgn(det(x, y, z));}
template<class T1, class T2, class T3> inline int dott(const T1 &x, const T2 &y, const T3 &z){return sgn(dot(x, y, z));}
template<class T1, class T2, class T3, class T4> inline int dett(const T1 &x, const T2 &y, const T3 &z, const T4 &w){return sgn(det(x, y, z, w));}
template<class T1, class T2, class T3, class T4> inline int dott(const T1 &x, const T2 &y, const T3 &z, const T4 &w){return sgn(dot(x, y, z, w));}

inline DB dist_sqr(const DB &x, const DB &y){return sqr(x) + sqr(y);}
inline DB dist_sqr(const DB &x, const DB &y, const DB &z){return sqr(x) + sqr(y) + sqr(z);}
inline DB dist_sqr(const Po &a, const Po &b){return sqr(a.x - b.x) + sqr(a.y - b.y);}
inline DB dist_sqr(const Po &p, const Line &l){Po v0 = l.b - l.a, v1 = p - l.a; return sqr(fabs(det(v0, v1))) / v0.length_sqr();}
inline DB dist_sqr(const Po &p, const Seg &l){
    Po v0 = l.b - l.a, v1 = p - l.a, v2 = p - l.b;
    if (sgn(dot(v0, v1)) * sgn(dot(v0, v2)) <= 0) return dist_sqr(p, Line(l));
    else return min(v1.length_sqr(), v2.length_sqr());
}
inline DB dist_sqr(Line l, Po p){return dist_sqr(p, l);}
inline DB dist_sqr(Seg l, Po p){return dist_sqr(p, l);}
inline DB dist_sqr(Line l1, Line l2){
    if (sgn(det(l1, l2)) != 0) return 0;
    return dist_sqr(l1.a, l2);
}
inline DB dist_sqr(Line l1, Seg l2){
    Po v0 = l1.b - l1.a, v1 = l2.a - l1.a, v2 = l2.b - l1.a; DB c1 = det(v0, v1), c2 = det(v0, v2);
    return sgn(c1) != sgn(c2) ? 0 : sqr(min(fabs(c1), fabs(c2))) / v0.length_sqr();
}

bool isIntersect(Seg l1, Seg l2){

    if (l1.a == l2.a || l1.a == l2.b || l1.b == l2.a || l1.b == l2.b) return true;

    return
        min(l1.a.x, l1.b.x) <= max(l2.a.x, l2.b.x) &&
        min(l2.a.x, l2.b.x) <= max(l1.a.x, l1.b.x) &&
        min(l1.a.y, l1.b.y) <= max(l2.a.y, l2.b.y) &&
        min(l2.a.y, l2.b.y) <= max(l1.a.y, l1.b.y) &&
    sgn( det(l1.a, l2.a, l2.b) ) * sgn( det(l1.b, l2.a, l2.b) ) <= 0 &&
    sgn( det(l2.a, l1.a, l1.b) ) * sgn( det(l2.b, l1.a, l1.b) ) <= 0;

}

inline DB dist_sqr(Seg l1, Seg l2){
    if (isIntersect(l1, l2)) return 0;
    else return min(dist_sqr(l1.a, l2), dist_sqr(l1.b, l2), dist_sqr(l2.a, l1), dist_sqr(l2.b, l1));
}

inline bool isOnSide(const Po &p, const Seg &l){
    return p == l.a || p == l.b;
}

inline bool isOnSeg(const Po &p, const Seg &l){
    return sgn(det(p, l.a, l.b)) == 0 &&
        sgn(l.a.x, p.x) * sgn(l.b.x, p.x) <= 0 && sgn(l.a.y, p.y) * sgn(l.b.y, p.y) <= 0;
}

inline bool isOnSegg(const Po &p, const Seg &l){
    return sgn(det(p, l.a, l.b)) == 0 &&
        sgn(l.a.x, p.x) * sgn(l.b.x, p.x) < 0 && sgn(l.a.y, p.y) * sgn(l.b.y, p.y) < 0;
}

inline Po intersect(const Line &l1, const Line &l2){
    return l1.a + (l1.b - l1.a) * (det(l2.a, l1.a, l2.b) / det(l2, l1));
}

// perpendicular foot
inline Po intersect(const Po & p, const Line &l){
    return intersect(Line(p, p + Po(l.a.y - l.b.y, l.b.x - l.a.x)), l);
}

inline Po rotate(Po p, DB alpha, Po o = Po()){
    p.x -= o.x, p.y -= o.y;
    return Po(p.x * cos(alpha) - p.y * sin(alpha), p.y * cos(alpha) + p.x * sin(alpha)) + o;
}

// <<= ' A. Random Event ..

inline int rand32(){return (bool(rand() & 1) << 30) | (rand() << 15) + rand();}
inline int random32(int l, int r){return rand32() % (r - l + 1) + l;}
inline int random(int l, int r){return rand() % (r - l + 1) + l;}
int dice(){return rand() % 6;}
bool coin(){return rand() % 2;}

// <<= ' 0. I/O Accelerator interface .,

template<class T> inline T& RD(T &x){
    //cin >> x;
    //scanf("%d", &x);
    char c; for (c = getchar(); c < '0'; c = getchar()); x = c - '0'; for (c = getchar(); c >= '0'; c = getchar()) x = x * 10 + c - '0';
    //char c; c = getchar(); x = c - '0'; for (c = getchar(); c >= '0'; c = getchar()) x = x * 10 + c - '0';
    return x;
}

int ____Case; template<class T> inline void OT(const T &x){
    //if (x == -1) printf("Case %d: NO\n", ++____Case);
    //else printf("Case %d: %d\n", ++____Case, x);
    //printf("%I64d\n", x);
    //printf("%.2lf\n", x);
    //printf("%d\n", x);
    cout << x << endl;
}

/* .................................................................................................................................. */

const int N = 109, Y = 100, X = 100000;

int v[N], a[N], b[N]; char c[N]; bool C[N]; Seg L[N], wall;
int hl, hr, hll, hrr, n;

int f(Po x, Po d){
    if (isIntersect( Seg(x, x + d), wall)) return 0;
    REP(i, n) if (!C[i] && isIntersect(Seg(x, x + d), L[i])){
        Po p = intersect(Seg(x, x + d), L[i]);
        C[i] = true;
        return v[i] + f(p, Po(d.x, -d.y));
    }
    return -INF;
}

int main(){

#ifndef ONLINE_JUDGE
    freopen("in.txt", "r", stdin);
#endif

    RD(hl, hr); REP_C(i, RD(n))
        RD(v[i]), RC(c[i]), RD(a[i], b[i]);

    wall = Seg(Po(X, 0), Po(X, hr)); REP(i, n){
        int h = c[i]=='T'?Y:0;
        L[i] = Seg(Po(a[i], Y), Po(b[i], Y));
    }

    hll = Y - hl, hrr = Y - hr;

    int res = 0; DB y, x, k; Po o = Po(0, hl); REP_1(t, n){
        RST(C), checkMax(res, f(o, Po(X,  (t-1)*Y+hll+((t&1)?hrr:hr))));
        RST(C), checkMax(res, f(o, Po(X,-((t-1)*Y+hl+((t&1)?hr:hrr)))));
    }

    cout << res << endl;
}


#define LOCAL

/** ` Micro Mezzo Macro Flation -- Overheated Economy ., **/

#include <functional>
#include <algorithm>
#include <iostream>
#include <iomanip>
#include <numeric>
#include <sstream>
#include <cstring>
#include <cassert>
#include <cstdio>
#include <string>
#include <vector>
#include <bitset>
#include <queue>
#include <stack>
#include <cmath>
#include <ctime>
#include <list>
#include <set>
#include <map>

using namespace std;

#define REP(i, n) for (int i=0;i<int(n);++i)
#define FOR(i, a, b) for (int i=int(a);i<int(b);++i)
#define DWN(i, b, a) for (int i=int(b-1);i>=int(a);--i)
#define REP_1(i, n) for (int i=1;i<=int(n);++i)
#define FOR_1(i, a, b) for (int i=int(a);i<=int(b);++i)
#define DWN_1(i, b, a) for (int i=int(b);i>=int(a);--i)
#define REP_C(i, n) for (int n____=int(n),i=0;i<n____;++i)
#define FOR_C(i, a, b) for (int b____=int(b),i=a;i<b____;++i)
#define DWN_C(i, b, a) for (int a____=int(a),i=b-1;i>=a____;--i)
#define REP_N(i, n) for (i=0;i<int(n);++i)
#define FOR_N(i, a, b) for (i=int(a);i<int(b);++i)
#define DWN_N(i, b, a) for (i=int(b-1);i>=int(a);--i)
#define REP_1_C(i, n) for (int n____=int(n),i=1;i<=n____;++i)
#define FOR_1_C(i, a, b) for (int b____=int(b),i=a;i<=b____;++i)
#define DWN_1_C(i, b, a) for (int a____=int(a),i=b;i>=a____;--i)
#define REP_1_N(i, n) for (i=1;i<=int(n);++i)
#define FOR_1_N(i, a, b) for (i=int(a);i<=int(b);++i)
#define DWN_1_N(i, b, a) for (i=int(b);i>=int(a);--i)
#define REP_C_N(i, n) for (n____=int(n),i=0;i<n____;++i)
#define FOR_C_N(i, a, b) for (b____=int(b),i=a;i<b____;++i)
#define DWN_C_N(i, b, a) for (a____=int(a),i=b-1;i>=a____;--i)
#define REP_1_C_N(i, n) for (n____=int(n),i=1;i<=n____;++i)
#define FOR_1_C_N(i, a, b) for (b____=int(b),i=a;i<=b____;++i)
#define DWN_1_C_N(i, b, a) for (a____=int(a),i=b;i>=a____;--i)

//#define ECH(it, A) for (typeof(A.begin()) it=A.begin(); it != A.end(); ++it)
#define ECH(it, A) for (__typeof(A.begin()) it=A.begin(); it != A.end(); ++it)

#define DO(n) for ( int ____n ## __line__ = n; ____n ## __line__ -- ; )

#define _TO(i, a, b) int s_=a<b?1:-1,b_=b+s_;for(int i=a+s_;i!=b_;i+=s_)
#define TO(i, a, b) int s_=a<b?1:-1,b_=b+s_;for(int i=a;i!=b_;i+=s_)
#define TO_1(i, a, b) int s_=a<b?1:-1,b_=b;for(int i=a;i!=b_;i+=s_)
#define SQZ(i, j, a, b) for (int i=int(a),j=int(b)-1;i<j;++i,--j)
#define SQZ_1(i, j, a, b) for (int i=int(a),j=int(b);i<=j;++i,--j)
#define REP_2(i, j, n, m) REP(i, n) REP(j, m)
#define REP_2_1(i, j, n, m) REP_1(i, n) REP_1(j, m)

#define ALL(A) A.begin(), A.end()
#define LLA(A) A.rbegin(), A.rend()
#define CPY(A, B) memcpy(A, B, sizeof(A))
#define INS(A, P, B) A.insert(A.begin() + P, B)
#define ERS(A, P) A.erase(A.begin() + P)
#define BSC(A, X) find(ALL(A), X) // != A.end()
#define CTN(T, x) (T.find(x) != T.end())
#define SZ(A) int(A.size())
#define PB push_back
#define MP(A, B) make_pair(A, B)

#define Rush int T____; RD(T____); DO(T____)

#define Display(A, n, m) {           \
	REP(i, n){		                          \
        REP(j, m) cout << A[i][j] << " ";\
		cout << endl;				\
	}						\
}

#define Display_1(A, n, m) {				\
	REP_1(i, n){		\
        REP_1(j, m) cout << A[i][j] << " ";\
		cout << endl;				\
	}						\
}

#pragma comment(linker, "/STACK:36777216")
//#pragma GCC optimize ("O2")
#define Ruby system("ruby main.rb")
#define Haskell system("runghc main.hs")
#define Python system("python main.py")
#define Pascal system("fpc main.pas")

#define fi first
#define se second

typedef long long LL;
typedef double DB;
typedef unsigned UINT;
typedef unsigned long long ULL;

typedef vector<int> VI;
typedef vector<char> VC;
typedef vector<string> VS;
typedef vector<LL> VL;
typedef vector<DB> VD;
typedef set<int> SI;
typedef set<string> SS;
typedef set<LL> SL;
typedef set<DB> SD;
typedef map<int, int> MII;
typedef map<string, int> MSI;
typedef map<LL, int> MLI;
typedef map<DB, int> MDI;
typedef map<int, bool> MIB;
typedef map<string, bool> MSB;
typedef map<LL, bool> MLB;
typedef map<DB, bool> MDB;
typedef pair<int, int> PII;
typedef pair<int, bool> PIB;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef vector<VII> VVII;
typedef set<PII> SII;
typedef map<PII, int> MPIII;
typedef map<PII, bool> MPIIB;

template<class T> inline T& RD(T &);
template<class T> inline void OT(const T &);
inline LL RD(){LL x; return RD(x);}
inline char& RC(char &c){scanf(" %c", &c); return c;}
inline char RC(){char c; return RC(c);}
inline DB& RF(DB &x){scanf("%lf", &x); return x;}
inline DB RF(){DB x; return RF(x);}
inline char* RS(char *s){scanf("%s", s); return s;}

template<class T0, class T1> inline T0& RD(T0 &x0, T1 &x1){RD(x0), RD(x1); return x0;}
template<class T0, class T1, class T2> inline T0& RD(T0 &x0, T1 &x1, T2 &x2){RD(x0), RD(x1), RD(x2); return x0;}
template<class T0, class T1, class T2, class T3> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3){RD(x0), RD(x1), RD(x2), RD(x3); return x0;}
template<class T0, class T1, class T2, class T3, class T4> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4); return x0;}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5); return x0;}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5, T6 &x6){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5), RD(x6); return x0;}
template<class T0, class T1> inline void OT(const T0 &x0, const T1 &x1){OT(x0), OT(x1);}
template<class T0, class T1, class T2> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2){OT(x0), OT(x1), OT(x2);}
template<class T0, class T1, class T2, class T3> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3){OT(x0), OT(x1), OT(x2), OT(x3);}
template<class T0, class T1, class T2, class T3, class T4> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4, const T5 &x5){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4, const T5 &x5, const T6 &x6){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5), OT(x6);}

inline char& RC(char &a, char &b){RC(a), RC(b); return a;}
inline char& RC(char &a, char &b, char &c){RC(a), RC(b), RC(c); return a;}
inline char& RC(char &a, char &b, char &c, char &d){RC(a), RC(b), RC(c), RC(d); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e){RC(a), RC(b), RC(c), RC(d), RC(e); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e, char &f){RC(a), RC(b), RC(c), RC(d), RC(e), RC(f); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e, char &f, char &g){RC(a), RC(b), RC(c), RC(d), RC(e), RC(f), RC(g); return a;}
inline DB& RF(DB &a, DB &b){RF(a), RF(b); return a;}
inline DB& RF(DB &a, DB &b, DB &c){RF(a), RF(b), RF(c); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d){RF(a), RF(b), RF(c), RF(d); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e){RF(a), RF(b), RF(c), RF(d), RF(e); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e, DB &f){RF(a), RF(b), RF(c), RF(d), RF(e), RF(f); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e, DB &f, DB &g){RF(a), RF(b), RF(c), RF(d), RF(e), RF(f), RF(g); return a;}
inline void RS(char *s1, char *s2){RS(s1), RS(s2);}
inline void RS(char *s1, char *s2, char *s3){RS(s1), RS(s2), RS(s3);}

template<class T> inline void RST(T &A){memset(A, 0, sizeof(A));}
template<class T0, class T1> inline void RST(T0 &A0, T1 &A1){RST(A0), RST(A1);}
template<class T0, class T1, class T2> inline void RST(T0 &A0, T1 &A1, T2 &A2){RST(A0), RST(A1), RST(A2);}
template<class T0, class T1, class T2, class T3> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3){RST(A0), RST(A1), RST(A2), RST(A3);}
template<class T0, class T1, class T2, class T3, class T4> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5), RST(A6);}
template<class T> inline void FLC(T &A, int x){memset(A, x, sizeof(A));}
template<class T0, class T1> inline void FLC(T0 &A0, T1 &A1, int x){FLC(A0, x), FLC(A1, x);}
template<class T0, class T1, class T2> inline void FLC(T0 &A0, T1 &A1, T2 &A2){FLC(A0), FLC(A1), FLC(A2);}
template<class T0, class T1, class T2, class T3> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3){FLC(A0), FLC(A1), FLC(A2), FLC(A3);}
template<class T0, class T1, class T2, class T3, class T4> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4), FLC(A5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){FLC(A0), FLC(A1), FLC(A2), FLC(A3), FLC(A4), FLC(A5), FLC(A6);}
template<class T> inline void CLR(priority_queue<T, vector<T>, less<T> > &Q){while (!Q.empty()) Q.pop();}
template<class T> inline void CLR(priority_queue<T, vector<T>, greater<T> > &Q){while (!Q.empty()) Q.pop();}
template<class T> inline void CLR(T &A){A.clear();}
template<class T0, class T1> inline void CLR(T0 &A0, T1 &A1){CLR(A0), CLR(A1);}
template<class T0, class T1, class T2> inline void CLR(T0 &A0, T1 &A1, T2 &A2){CLR(A0), CLR(A1), CLR(A2);}
template<class T0, class T1, class T2, class T3> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3){CLR(A0), CLR(A1), CLR(A2), CLR(A3);}
template<class T0, class T1, class T2, class T3, class T4> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5), CLR(A6);}
template<class T> inline void CLR(T &A, int n){REP(i, n) CLR(A[i]);}

template<class T> inline T& SRT(T &A){sort(ALL(A)); return A;}
template<class T, class C> inline T& SRT(T &A, C B){sort(ALL(A), B); return A;}

/** Add - On **/

const int MOD = 99990001;
//int MOD = 1000000007;
const int INF = 0x3f3f3f3f;
const DB EPS = 1e-8;
const DB OO = 1e15;
const DB PI = acos(-1.0); //M_PI;

// <<= ` 0. Daily Use .,

template<class T> inline void checkMin(T &a,const T b){if (b<a) a=b;}
template<class T> inline void checkMax(T &a,const T b){if (b>a) a=b;}
template <class T, class C> inline void checkMin(T& a, const T b, C c){if (c(b,a)) a = b;}
template <class T, class C> inline void checkMax(T& a, const T b, C c){if (c(a,b)) a = b;}
template<class T> inline T min(T a, T b, T c){return min(min(a, b), c);}
template<class T> inline T max(T a, T b, T c){return max(max(a, b), c);}
template<class T> inline T min(T a, T b, T c, T d){return min(min(a, b), min(c, d));}
template<class T> inline T max(T a, T b, T c, T d){return max(max(a, b), max(c, d));}
template<class T> inline T sqr(T a){return a*a;}
template<class T> inline T cub(T a){return a*a*a;}
inline int Ceil(int x, int y){return (x - 1) / y + 1;}

// <<= ` 1. Bitwise Operation .,
inline bool _1(int x, int i){return x&1<<i;}
inline bool _1(LL x, int i){return x&1LL<<i;}
inline LL _1(int i){return 1LL<<i;}
inline LL _U(int i){return _1(i) - 1;};

template<class T> inline T low_bit(T x) {return x & -x;}
template<class T> inline T high_bit(T x) {T p = low_bit(x);while (p != x) x -= p, p = low_bit(x);return p;}
template<class T> inline T cover_bit(T x){T p = 1; while (p < x) p <<= 1;return p;}

inline int count_bits(int x){
    x = (x & 0x55555555) + ((x & 0xaaaaaaaa) >> 1);
    x = (x & 0x33333333) + ((x & 0xcccccccc) >> 2);
    x = (x & 0x0f0f0f0f) + ((x & 0xf0f0f0f0) >> 4);
    x = (x & 0x00ff00ff) + ((x & 0xff00ff00) >> 8);
    x = (x & 0x0000ffff) + ((x & 0xffff0000) >> 16);
    return x;
}

inline int count_bits(LL x){
    x = (x & 0x5555555555555555LL) + ((x & 0xaaaaaaaaaaaaaaaaLL) >> 1);
    x = (x & 0x3333333333333333LL) + ((x & 0xccccccccccccccccLL) >> 2);
    x = (x & 0x0f0f0f0f0f0f0f0fLL) + ((x & 0xf0f0f0f0f0f0f0f0LL) >> 4);
    x = (x & 0x00ff00ff00ff00ffLL) + ((x & 0xff00ff00ff00ff00LL) >> 8);
    x = (x & 0x0000ffff0000ffffLL) + ((x & 0xffff0000ffff0000LL) >> 16);
    x = (x & 0x00000000ffffffffLL) + ((x & 0xffffffff00000000LL) >> 32);
    return x;
}

inline int reverse_bits(int x){
    x = ((x >> 1) & 0x55555555) | ((x << 1) & 0xaaaaaaaa);
    x = ((x >> 2) & 0x33333333) | ((x << 2) & 0xcccccccc);
    x = ((x >> 4) & 0x0f0f0f0f) | ((x << 4) & 0xf0f0f0f0);
    x = ((x >> 8) & 0x00ff00ff) | ((x << 8) & 0xff00ff00);
    x = ((x >>16) & 0x0000ffff) | ((x <<16) & 0xffff0000);
    return x;
}

inline LL reverse_bits(LL x){
    x = ((x >> 1) & 0x5555555555555555LL) | ((x << 1) & 0xaaaaaaaaaaaaaaaaLL);
    x = ((x >> 2) & 0x3333333333333333LL) | ((x << 2) & 0xccccccccccccccccLL);
    x = ((x >> 4) & 0x0f0f0f0f0f0f0f0fLL) | ((x << 4) & 0xf0f0f0f0f0f0f0f0LL);
    x = ((x >> 8) & 0x00ff00ff00ff00ffLL) | ((x << 8) & 0xff00ff00ff00ff00LL);
    x = ((x >>16) & 0x0000ffff0000ffffLL) | ((x <<16) & 0xffff0000ffff0000LL);
    x = ((x >>32) & 0x00000000ffffffffLL) | ((x <<32) & 0xffffffff00000000LL);
    return x;
}

// <<= ` 2. Number theory .,

inline void INC(int &a, int b){a += b; if (a >= MOD) a -= MOD;}
inline int sum(int a, int b){a += b; if (a >= MOD) a -= MOD; return a;}
inline void DEC(int &a, int b){a -= b; if (a < 0) a += MOD;}
inline int dff(int a, int b){a -= b; if (a < 0) a  += MOD; return a;}
inline void MUL(int &a, int b){a = (LL)a * b % MOD;}
inline int pdt(int a, int b){return (LL)a * b % MOD;}

inline int sum(int a, int b, int c){return sum(sum(a, b), c);}
inline int sum(int a, int b, int c, int d){return sum(sum(a, b), sum(c, d));}
inline int pdt(int a, int b, int c){return pdt(pdt(a, b), c);}
inline int pdt(int a, int b, int c, int d){return pdt(pdt(pdt(a, b), c), d);}

inline int pow(int a, LL b){
    int c(1); while (b){
        if (b&1) MUL(c, a);
        MUL(a, a), b >>= 1;
    }
    return c;
}

template<class T> inline T pow(T a, LL b){
    T c(1); while (b){
        if (b&1) c *= a;
        a *= a, b >>= 1;
    }
    return c;
}

inline int _I(int b){
    int a = MOD, x1 = 0, x2 = 1, q;
    while (true){
        q = a / b, a %= b;
        if (!a) return (x2 + MOD) % MOD;
        DEC(x1, pdt(q, x2));

        q = b / a, b %= a;
        if (!b) return (x1 + MOD) % MOD;
        DEC(x2, pdt(q, x1));
    }
}

inline void DIA(int &a, int b){MUL(a, _I(b));}
inline int qtt(int a, int b){return pdt(a, _I(b));}

inline int phi(int n){
    int res = n; for (int i=2;sqr(i)<=n;++i) if (!(n%i)){
        DEC(res, qtt(res, i));
        do{n /= i;} while(!(n%i));
    }
    if (n != 1)
        DEC(res, qtt(res, n));
    return res;
}

// <<= '9. Comutational Geometry .,

struct Po; struct Line; struct Seg;

inline int sgn(DB x){return x < -EPS ? -1 : x > EPS;}
inline int sgn(DB x, DB y){return sgn(x - y);}

struct Po{
    DB x, y;
    Po(DB _x = 0, DB _y = 0):x(_x), y(_y){}

    friend istream& operator >>(istream& in, Po &p){return in >> p.x >> p.y;}
    friend ostream& operator <<(ostream& out, Po p){return out << "(" << p.x << ", " << p.y << ")";}

    friend bool operator ==(Po, Po);
    friend bool operator !=(Po, Po);

    friend Po operator +(Po, Po);
    friend Po operator -(Po, Po);
    friend Po operator *(Po, DB);
    friend Po operator /(Po, DB);

    bool operator < (const Po &rhs) const{return sgn(x, rhs.x) < 0 || sgn(x, rhs.x) == 0 && sgn(y, rhs.y) < 0;}
    Po operator -() const{return Po(-x, -y);}
    Po& operator +=(Po rhs){x += rhs.x, y += rhs.y; return *this;}
    Po& operator -=(Po rhs){x -= rhs.x, y -= rhs.y; return *this;}
    Po& operator *=(DB k){x *= k, y *= k; return *this;}
    Po& operator /=(DB k){x /= k, y /= k; return *this;}

    DB length_sqr() const{return sqr(x) + sqr(y);}
    DB length() const{return sqrt(length_sqr());}
    Po unit() const{return (*this) / length();}
    bool dgt() const{return !sgn(x) && !sgn(y);}
    DB atan() const{return atan2(y, x);}
    void input(){scanf("%lf %lf", &x, &y);}
};

bool operator ==(Po a, Po b){return sgn(a.x - b.x) == 0 && sgn(a.y - b.y) == 0;}
bool operator !=(Po a, Po b){return sgn(a.x - b.x) != 0 || sgn(a.y - b.y) != 0;}
Po operator +(Po a, Po b){return Po(a.x + b.x, a.y + b.y);}
Po operator -(Po a, Po b){return Po(a.x - b.x, a.y - b.y);}
Po operator *(Po a, DB k){return Po(a.x * k, a.y * k);}
Po operator *(DB k, Po a){return a * k;}
Po operator /(Po a, DB k){return Po(a.x / k, a.y / k);}

struct Line{
    Po a, b;
    Line(const Po &a = Po(), const Po &b = Po()):a(a), b(b){}
    Line(const Line &l):a(l.a), b(l.b){}
    Line(DB x0, DB y0, DB x1, DB y1):a(Po(x0, y0)), b(Po(x1, y1)){}

    void getequation(DB, DB, DB) const;

    Line operator +(Po x) const{return Line(a + x, b + x);}
    friend ostream& operator <<(ostream& out, Line p){return out << p.a << "-" << p.b;}
    DB length() const{return (b - a).length();}
    bool dgt() const{return (a-b).dgt();}
    void input(){a.input(), b.input();}
};

struct Seg: Line{
    Seg(const Po &a = Po(), const Po &b = Po()):Line(a, b){}
    Seg(const Line &l):Line(l){}
    Seg(DB x0, DB y0, DB x1, DB y1):Line(x0, y0, x1, y1){}
};

#define innerProduct dot
#define scalarProduct dot
#define dotProduct dot
#define outerProduct det
#define crossProduct det

inline DB dot(const DB &x1, const DB &y1, const DB &x2, const DB &y2){return x1 * x2 + y1 * y2;}
inline DB dot(const Po &a, const Po &b){return dot(a.x, a.y, b.x, b.y);}
inline DB dot(const Po &p0, const Po &p1, const Po &p2){return dot(p1 - p0, p2 - p0);}
inline DB dot(const Po &o, const Line &l){return dot(o, l.a, l.b);}
inline DB dot(const Line &l, const Po &o){return dot(o, l.a, l.b);}
inline DB dot(const Line &l1, const Line &l2){return dot(l1.b - l1.a, l2.b - l2.a);}

inline DB det(const DB &x1, const DB &y1, const DB &x2, const DB &y2){return x1 * y2 - x2 * y1;}
inline DB det(const Po &a, const Po &b){return det(a.x, a.y, b.x, b.y);}
inline DB det(const Po &p0, const Po &p1, const Po &p2){return det(p1 - p0, p2 - p0);}
inline DB det(const Po &o, const Line &l){return det(o, l.a, l.b);}
inline DB det(const Line &l, const Po &o){return det(o, l.a, l.b);}
inline DB det(const Line &l1, const Line &l2){return det(l1.b - l1.a, l2.b - l2.a);}

void Line::getequation(DB A, DB B, DB C) const{
    A = a.y - b.y, B = b.x - a.x, C = det(a, b);
}

template<class T1, class T2> inline DB dist(const T1 &x, const T2 &y){return sqrt(dist_sqr(x, y));}
template<class T1, class T2, class T3> inline DB dist(const T1 &x, const T2 &y, const T3 &z){return sqrt(dist_sqr(x, y, z));}
template<class T1, class T2> inline int dett(const T1 &x, const T2 &y){return sgn(det(x, y));}
template<class T1, class T2> inline int dott(const T1 &x, const T2 &y){return sgn(dot(x, y));}
template<class T1, class T2, class T3> inline int dett(const T1 &x, const T2 &y, const T3 &z){return sgn(det(x, y, z));}
template<class T1, class T2, class T3> inline int dott(const T1 &x, const T2 &y, const T3 &z){return sgn(dot(x, y, z));}
template<class T1, class T2, class T3, class T4> inline int dett(const T1 &x, const T2 &y, const T3 &z, const T4 &w){return sgn(det(x, y, z, w));}
template<class T1, class T2, class T3, class T4> inline int dott(const T1 &x, const T2 &y, const T3 &z, const T4 &w){return sgn(dot(x, y, z, w));}

inline DB dist_sqr(const DB &x, const DB &y){return sqr(x) + sqr(y);}
inline DB dist_sqr(const DB &x, const DB &y, const DB &z){return sqr(x) + sqr(y) + sqr(z);}
inline DB dist_sqr(const Po &a, const Po &b){return sqr(a.x - b.x) + sqr(a.y - b.y);}
inline DB dist_sqr(const Po &p, const Line &l){Po v0 = l.b - l.a, v1 = p - l.a; return sqr(fabs(det(v0, v1))) / v0.length_sqr();}
inline DB dist_sqr(const Po &p, const Seg &l){
    Po v0 = l.b - l.a, v1 = p - l.a, v2 = p - l.b;
    if (sgn(dot(v0, v1)) * sgn(dot(v0, v2)) <= 0) return dist_sqr(p, Line(l));
    else return min(v1.length_sqr(), v2.length_sqr());
}
inline DB dist_sqr(Line l, Po p){return dist_sqr(p, l);}
inline DB dist_sqr(Seg l, Po p){return dist_sqr(p, l);}
inline DB dist_sqr(Line l1, Line l2){
    if (sgn(det(l1, l2)) != 0) return 0;
    return dist_sqr(l1.a, l2);
}
inline DB dist_sqr(Line l1, Seg l2){
    Po v0 = l1.b - l1.a, v1 = l2.a - l1.a, v2 = l2.b - l1.a; DB c1 = det(v0, v1), c2 = det(v0, v2);
    return sgn(c1) != sgn(c2) ? 0 : sqr(min(fabs(c1), fabs(c2))) / v0.length_sqr();
}

bool isIntersect(Seg l1, Seg l2){

    if (l1.a == l2.a || l1.a == l2.b || l1.b == l2.a || l1.b == l2.b) return true;

    return
        min(l1.a.x, l1.b.x) <= max(l2.a.x, l2.b.x) &&
        min(l2.a.x, l2.b.x) <= max(l1.a.x, l1.b.x) &&
        min(l1.a.y, l1.b.y) <= max(l2.a.y, l2.b.y) &&
        min(l2.a.y, l2.b.y) <= max(l1.a.y, l1.b.y) &&
    sgn( det(l1.a, l2.a, l2.b) ) * sgn( det(l1.b, l2.a, l2.b) ) <= 0 &&
    sgn( det(l2.a, l1.a, l1.b) ) * sgn( det(l2.b, l1.a, l1.b) ) <= 0;

}

inline DB dist_sqr(Seg l1, Seg l2){
    if (isIntersect(l1, l2)) return 0;
    else return min(dist_sqr(l1.a, l2), dist_sqr(l1.b, l2), dist_sqr(l2.a, l1), dist_sqr(l2.b, l1));
}

inline bool isOnSide(const Po &p, const Seg &l){
    return p == l.a || p == l.b;
}

inline bool isOnSeg(const Po &p, const Seg &l){
    return sgn(det(p, l.a, l.b)) == 0 &&
        sgn(l.a.x, p.x) * sgn(l.b.x, p.x) <= 0 && sgn(l.a.y, p.y) * sgn(l.b.y, p.y) <= 0;
}

inline bool isOnSegg(const Po &p, const Seg &l){
    return sgn(det(p, l.a, l.b)) == 0 &&
        sgn(l.a.x, p.x) * sgn(l.b.x, p.x) < 0 && sgn(l.a.y, p.y) * sgn(l.b.y, p.y) < 0;
}

inline Po intersect(const Line &l1, const Line &l2){
    return l1.a + (l1.b - l1.a) * (det(l2.a, l1.a, l2.b) / det(l2, l1));
}

// perpendicular foot
inline Po intersect(const Po & p, const Line &l){
    return intersect(Line(p, p + Po(l.a.y - l.b.y, l.b.x - l.a.x)), l);
}

inline Po rotate(Po p, DB alpha, Po o = Po()){
    p.x -= o.x, p.y -= o.y;
    return Po(p.x * cos(alpha) - p.y * sin(alpha), p.y * cos(alpha) + p.x * sin(alpha)) + o;
}

// <<= ' A. Random Event ..

inline int rand32(){return (bool(rand() & 1) << 30) | (rand() << 15) + rand();}
inline int random32(int l, int r){return rand32() % (r - l + 1) + l;}
inline int random(int l, int r){return rand() % (r - l + 1) + l;}
int dice(){return rand() % 6;}
bool coin(){return rand() % 2;}

// <<= ' 0. I/O Accelerator interface .,

template<class T> inline T& RD(T &x){
    //cin >> x;
    //scanf("%d", &x);
    char c; for (c = getchar(); c < '0'; c = getchar()); x = c - '0'; for (c = getchar(); c >= '0'; c = getchar()) x = x * 10 + c - '0';
    //char c; c = getchar(); x = c - '0'; for (c = getchar(); c >= '0'; c = getchar()) x = x * 10 + c - '0';
    return x;
}

int ____Case; template<class T> inline void OT(const T &x){
    //if (x == -1) printf("Case %d: NO\n", ++____Case);
    //else printf("Case %d: %d\n", ++____Case, x);
    //printf("%I64d\n", x);
    //printf("%.2lf\n", x);
    //printf("%d\n", x);
    cout << x << endl;
}

/* .................................................................................................................................. */

const int N = 109;

const int Y = 100, X = 100000;

int v[N], a[N], b[N]; char c[N];
bool C[N];
Seg L[N], ww;

int hl, hr, hll, hrr, n;

int f(Po x, Po d){

    //cout << x << " " << d << endl;

    REP(i, n) if (!C[i]){

/*
        if (d.y == -952 && i == 4){
            //cout << Seg(x, x + d) << " " << L[i] << endl;
            //cout << x.x + 80 * (100000.0 / 952) << endl;
            //cout << "?" << isIntersect(Seg(x, x + d), L[i]) << endl;
        }
*/

        if (isIntersect(Seg(x, x + d), L[i])){
            Po p = intersect(Seg(x, x + d), L[i]);

            if (sgn(b[i], p.x + 2 * (Y * (fabs((d.y / d.x))))) < 0) continue;
            C[i] = true;
            return v[i] + f(p, Po(d.x, -d.y));
        }
    }

    //cout <<  Seg(x, x + d) << " " <<  ww << endl;
    if (isIntersect( Seg(x, x + d), ww)) return 0;
    return -INF;
}

int main(){

#ifndef ONLINE_JUDGE
    freopen("in.txt", "r", stdin);
#endif

    RD(hl, hr); REP_C(i, RD(n)){
        RD(v[i]); RC(c[i]); RD(a[i], b[i]);
    }

    //REP(i, n) FOR(j, 1, n-i) if (  )

    ww = Seg(Po(X, 0), Po(X, hr));

    REP(i, n){
    if (c[i] == 'T'){
            L[i] = Seg(Po(a[i], Y), Po(b[i], Y));
        }
        else {
            L[i] = Seg(Po(a[i], 0), Po(b[i], 0));
        }
    }

    //cout << isIntersect()

    hll = Y - hl, hrr = Y - hr;

    int res = 0; DB y, x, k; Po o = Po(0, hl); REP_1(t, n){

        RST(C);

        y = (t - 1) * Y;
        y += (t & 1) ? hll + hrr : hll + hr;
        checkMax(res, f(o, Po(X, y)));

        RST(C);

        y = (t - 1) * Y;
        y += (t & 1) ? hl + hr : hl + hrr;
        checkMax(res, f(o, Po(X, -y)));

        cout << t << " " << res << endl;
    }

    cout << res << endl;

}


#ifndef SOURCE_IS_SPLICED
#include <functional>
#include <algorithm>
#include <iostream>
#include <sstream>
#include <numeric>
#include <cstdlib>
#include <cstdio>
#include <string>
#include <cstdio>
#include <vector>
#include <queue>
#include <deque>
#include <stack>
#include <list>
#include <map>
#include <set>
using namespace std;typedef long long ll;typedef long double real;void run();int main(){ios::sync_with_stdio(0);run();}
#endif

ll gcd(ll a,ll b){return a?b?gcd(b,a%b):a:b;}

struct platform{
  ll x0,x1,y;
  ll score;
};

struct fraction{
  ll num,den;

  fraction(ll num=0,ll den=1):num(num),den(den){simplify();}
  fraction& simplify(){ll g=(den<0?-1:1)*(gcd(abs(num),abs(den))); num/=g, den/=g; return *this;}

  fraction operator/(fraction const other)const{return fraction(num*other.den,other.num*den);}
  fraction operator*(fraction const other)const{return fraction(num*other.num,other.den*den);}
  fraction operator+(fraction const other)const{ll g=gcd(abs(den),abs(other.den)); return fraction(num*(other.den/g)+other.num*(den/g),(den/g)*other.den);}
  fraction operator-(fraction const other)const{return (*this)+fraction(-other.num,other.den);}
  bool operator <  (fraction const other)const{return ((*this)-(other)).num<0;}
  bool operator <= (fraction const other)const{return ((*this)-(other)).num<=0;}

  operator real()const{return (real)num/(real)den;}
};

platform p[200];
ll hs,ht,n;

ll mod(ll x,ll k){return x>=0? x%k: mod(x+k*10000ll,k);}
ll between(ll y0, ll y1){return (y1+400000ll)/100ll - (y0+400000ll)/100ll;}

fraction interpolate(ll x0,ll y0,ll x1,ll y1, ll x){
  fraction start={y0,1}, diff={y1-y0,x1-x0};
// cerr<<"diff = "<<diff.num<<"/"<<diff.den<<" | "<<y1-y0<<" "<<x1-x0<<endl;
  fraction want={x-x0,1};
//  cerr<<"    "<<(real)start<<", "<<(real)diff<<" "<<(real)want<<endl;
  return start+diff*want;
}

void run(){
  cin>>hs>>ht>>n;

  for (int i=0; i<n; i++){
    char type;
    cin>>p[i].score>>type>>p[i].x0>>p[i].x1;
    p[i].y=(type=='F'?0:100);
  }

  ll best=0;

  for (ll dy=-10000ll; dy<=10000ll; dy+=100ll){
    bool ok=true;
    int occur=0;
    ll score=0;

    ll dest=dy+(dy%200ll==0? ht:100ll-ht);
//    cerr<<"Dest = "<<dest<<endl;

    for (int i=0; i<n; i++){
      int hits=0;
      fraction up=interpolate(0,hs, 100000ll,dest, p[i].x0);
      fraction dn=interpolate(0,hs, 100000ll,dest, p[i].x1);
      if (up<dn) swap(up,dn);
      fraction diff=up-dn;
      for (ll q=200ll<<16ll; q>=200ll; q>>=1ll){
        while (dn+fraction(q,1)  < fraction(200,1)) dn=dn+fraction(q,1);
        while (fraction(  0,1) <= dn-fraction(q,1)) dn=dn-fraction(q,1);
      }
      up=dn+diff;
//      cerr<<i<<": "<<p[i].y<<", "<<(real)dn<<" -> "<<(real)up<<endl;
      for (ll j=-200; j<=200; j+=200){
        if (dn<=fraction(p[i].y+j,1) and fraction(p[i].y+j,1)<=up){
          ++hits;
        }
      }
      if (hits<=0) continue;
      if (hits==1) ++occur, score+=p[i].score;//, cerr<<"AHA"<<endl;
      if (hits>=2) ok=false; //, cerr<<"twice"<<endl;
    }
//    cerr<<ok<<", got "<<occur.size()<<" need "<<between(hs,dest)<<" for "<<hs<<" to "<<dest<<endl;
    if (ok and occur==abs(between(hs,dest))){
      best=max(best,score);
    }
  }

  cout<<best<<endl;
}


#ifndef SOURCE_IS_SPLICED
#include <functional>
#include <algorithm>
#include <iostream>
#include <sstream>
#include <numeric>
#include <cstdlib>
#include <cstdio>
#include <string>
#include <cstdio>
#include <vector>
#include <queue>
#include <deque>
#include <stack>
#include <list>
#include <map>
#include <set>
using namespace std;typedef long long ll;typedef long double real;void run();int main(){ios::sync_with_stdio(0);run();}
#endif

ll gcd(ll a,ll b){return a?b?gcd(b,a%b):a:b;}

struct platform{
  ll x0,x1,y;
  ll score;
};

struct fraction{
  ll num,den;

  fraction(ll num=0,ll den=1):num(num),den(den){simplify();}
  fraction& simplify(){ll g=(den<0?-1:1)*(gcd(abs(num),abs(den))); num/=g, den/=g; return *this;}

  fraction operator/(fraction const other)const{return fraction(num*other.den,other.num*den);}
  fraction operator*(fraction const other)const{return fraction(num*other.num,other.den*den);}
  fraction operator+(fraction const other)const{ll g=gcd(abs(den),abs(other.den)); return fraction(num*(other.den/g)+other.num*(den/g),(den/g)*other.den);}
  fraction operator-(fraction const other)const{return (*this)+fraction(-other.num,other.den);}
  bool operator <  (fraction const other)const{return ((*this)-(other)).num<0;}
  bool operator <= (fraction const other)const{return ((*this)-(other)).num<=0;}

  operator real()const{return (real)num/(real)den;}
};

platform p[200];
ll hs,ht,n;

ll mod(ll x,ll k){return x>=0? x%k: mod(x+k*10000ll,k);}
ll between(ll y0, ll y1){return (y1+400000ll)/100ll - (y0+400000ll)/100ll;}

fraction interpolate(ll x0,ll y0,ll x1,ll y1, ll x){
  fraction start={y0,1}, diff={y1-y0,x1-x0};
// cerr<<"diff = "<<diff.num<<"/"<<diff.den<<" | "<<y1-y0<<" "<<x1-x0<<endl;
  fraction want={x-x0,1};
//  cerr<<"    "<<(real)start<<", "<<(real)diff<<" "<<(real)want<<endl;
  return start+diff*want;
}

void run(){
  cin>>hs>>ht>>n;

  for (int i=0; i<n; i++){
    char type;
    cin>>p[i].score>>type>>p[i].x0>>p[i].x1;
    p[i].y=(type=='F'?0:100);
  }

  ll best=0;

  for (ll dy=-10000ll; dy<=10000ll; dy+=100ll){
    bool ok=true;
    int occur=0;
    ll score=0;

    ll dest=dy+(dy%200ll==0? ht:100ll-ht);
//    cerr<<"Dest = "<<dest<<endl;

    for (int i=0; i<n; i++){
      int hits=0;
      fraction up=interpolate(0,hs, 100000ll,dest, p[i].x0);
      fraction dn=interpolate(0,hs, 100000ll,dest, p[i].x1);
//      if (up<dn) swap(up,dn);
      fraction diff=up-dn;
      for (ll q=200ll<<16ll; q>=200ll; q>>=1ll){
        while (dn+fraction(q,1)  < fraction(200,1)) dn=dn+fraction(q,1);
        while (fraction(  0,1) <= dn-fraction(q,1)) dn=dn-fraction(q,1);
      }
      up=dn+diff;
//      cerr<<i<<": "<<p[i].y<<", "<<(real)dn<<" -> "<<(real)up<<endl;
      for (ll j=-200; j<=200; j+=200){
        if (dn<=fraction(p[i].y+j,1) and fraction(p[i].y+j,1)<=up){
          ++hits;
        }
      }
      if (hits<=0) continue;
      if (hits==1) ++occur, score+=p[i].score;//, cerr<<"AHA"<<endl;
      if (hits>=2) ok=false; //, cerr<<"twice"<<endl;
    }
//    cerr<<ok<<", got "<<occur.size()<<" need "<<between(hs,dest)<<" for "<<hs<<" to "<<dest<<endl;
    if (ok and occur==abs(between(hs,dest))){
      best=max(best,score);
    }
  }

  cout<<best<<endl;
}


#include <algorithm>
#include <iostream>
#include <sstream>
#include <string>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <cstdio>
#include <cstdlib>
#include <cctype>
#include <cstring>
#include <cmath>
#define MAXN 110
using namespace std;

struct Mirror {
	int point, type;
	double l, r;
} mi[MAXN];

bool choose[MAXN];
double hl, hr;
int n, ans;

void solve() {
	for (int row = 2; row <= 100; row++) {
		int hhl = 100.0 - hl;
		int hhr = row % 2 == 1 ? hr : 100 - hr;
		double tan = 100000.0 / (100.0 * row - hhl - hhr);
		int point = 0;
		memset(choose, false, sizeof(choose));
		for (int i = 1; i < row; i++) {
			double x = (i * 100.0 - hhl) * tan;
			bool has = false;
			for (int j = 0; j < n; j++)
				if (mi[j].type == i % 2 && mi[j].l - 1e-9 <= x && x <= mi[j].r + 1e-9 && !choose[j]) {
					has = true;
					choose[j] = true;
					point += mi[j].point;
				}
			if (!has) {
				point = 0;
				break;
			}
		}
		ans = max(ans, point);
	}
}

int main() {
	//freopen("input.txt", "r", stdin);
	cin >> hl >> hr >> n;
	for (int i = 0; i < n; i++) {
		cin >> mi[i].point;
		char c;
		cin >> c;
		if (c == 'T') mi[i].type = 0;
		else mi[i].type = 1;
		cin >> mi[i].l >> mi[i].r;
	}
	solve();
	hl = 100 - hl;
	hr = 100 - hr;
	for (int i = 0; i < n; i++) mi[i].type ^= 1;
	solve();
	cout << ans << endl;
}


#include <algorithm>
#include <iostream>
#include <sstream>
#include <string>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <cstdio>
#include <cstdlib>
#include <cctype>
#include <cstring>
#include <cmath>
#define MAXN 110
using namespace std;

struct Mirror {
	int point, type, l, r;
} mi[MAXN];

bool choose[MAXN];
double hl, hr;
int n;

int main() {
	//freopen("input.txt", "r", stdin);
	cin >> hl >> hr >> n;
	for (int i = 0; i < n; i++) {
		cin >> mi[i].point;
		char c;
		cin >> c;
		if (c == 'T') mi[i].type = 0;
		else mi[i].type = 1;
		cin >> mi[i].l >> mi[i].r;
	}
	int ans = 0;
	for (int row = 2; row <= 100; row++) {
		int hhl = 100.0 - hl;
		int hhr = row % 2 == 1 ? hr : 100 - hr;
		double tan = 100000.0 / (100.0 * row - hhl - hhr);

		int point = 0;
		memset(choose, false, sizeof(choose));
		for (int i = 1; i < row; i++) {
			double x = ((i - 1) * 100.0 + (100.0 - hhl)) * tan;
			bool has = false;
			for (int j = 0; j < n; j++)
				if (mi[j].type == i % 2 && mi[j].l <= x && x <= mi[j].r && !choose[j]) {
				//cout << i << ' ' << j << ' ' << mi[j].point << endl;
					has = true;
					choose[j] = true;
					point += mi[j].point;
				}
			if (!has) {
				point = 0;
				break;
			}
		}
		//cout << row << ' ' << point << endl;
		ans = max(ans, point);
	}
	cout << ans << endl;
}


#include <iostream>
#include <cstdio>
#include <string.h>
#include <string>
#include <algorithm>
#include <math.h>
using namespace std;

const double eps = 1e-8;
const int maxn = 100 + 10;
struct node
{
	int op, a, b, v;
} c[maxn];
double hl, hr;
int n;
int ans = 0;
double deg, H, L;
bool mark[maxn];

int Solve(double deg, int op)
{
	memset(mark, 0, sizeof(mark));
	int tmp = 0;
	double x = 0.0, y = hl;
	bool bj;
	while (x < L) {
		if (op == 0) {
			x += y / deg;
			y = 0;
		} else {
			x += (H - y) / deg;
			y = H;
		}
		if (x >= L) break;
		bj = false;
		for (int i = 1; i <= n; i++)
			if (op == c[i].op && c[i].a <= x && x <= c[i].b) {
				// cout << c[i].v << " " ;
				if (mark[i]) return 0;
				mark[i] = true;
				tmp += c[i].v;
				bj = true;
			}
		if (!bj && x < L) return 0;
		op = 1 - op;
	}
	return tmp;
}

int main()
{
	H = 100.0, L = 100000.0;
	char ss[10];
	while (scanf("%lf%lf%d", &hl, &hr, &n)!=EOF) {
		for (int i = 1; i <= n; i++) {
			scanf("%d%s%d%d", &c[i].v, ss, &c[i].a, &c[i].b);
			if (ss[0] == 'T') c[i].op = 1;
			else c[i].op = 0;
		}
		ans = 0;
		for (int i = 1; i <= n; i++) {
			if (i & 1) {
				deg = (H * (i - 1) + hl + hr) / L;
			} else {
				deg = (H * (i - 1) + hl + H - hr) / L;
			}
			// if (i == 1) cout << i << " " << deg << endl;
			ans = max(ans, Solve(deg, 0));
			// cout << endl;
		}

		for (int i = 1; i <= n; i++) {
			if (i & 1) {
				deg = (H * (i - 1) + H - hl + H - hr) / L;
			} else {
				deg = (H * (i - 1) + H - hl + hr) / L;
			}
			ans = max(ans, Solve(deg, 1));
			// cout << endl;
		}

		printf("%d\n", ans);
	}
	return 0;
}


#include <stdio.h>
#include <algorithm>
#include <iostream>
#include <string>
#include <vector>
#include <limits>
#include <set>
#include <map>
#include <utility>
#include <cassert>
using namespace std;
typedef unsigned int ui;
typedef unsigned long long ull;
typedef vector<ui> vui;
typedef vector<int> vi;
typedef vector<bool> vbool;
typedef map<int, int> mii;
#define rep(i, n) for(ui i=0; i<n; ++i)
const ui INF = numeric_limits<ui>::max();
/*
  50 50 7
  10 F 1 80000
  20 T 1 80000
  30 T 81000 82000
  40 T 83000 84000
  50 T 85000 86000
  60 T 87000 88000
  70 F 81000 89000
*/

struct mirror {
  int start, stop, points;
  bool hit;
  mirror(int sta, int sto, int poi) : start(sta), stop(sto), points(poi), hit(false) {}
};

int main() {

  vector<mirror > ceiling;
  vector<mirror > floor;

  int h1, h2, m; scanf("%d %d %d", &h1, &h2, &m);
  rep(i, m) {
    int poi, fro, to;
    char what;
    scanf("%d %c %d %d", &poi, &what, &fro, &to);
    if (what == 'F') {
      floor.push_back(mirror(fro, to, poi));
    }
    else ceiling.push_back(mirror(fro, to, poi));
  }

  int maxP = 0;
  rep(studsar, 100) {
    int currP = 0;

    int katet = h1;
    double allt;

    if (studsar%2)
      allt = h1+h2 + 100*(studsar-1);
    else
      allt = h1+(100-h2) + 100*studsar;

    for(mirror &m:floor) m.hit=false;
    for(mirror &m:ceiling) m.hit=false;

    bool golv = true;
    bool fail = false;
    rep(studs, studsar) {
      double pos = (katet*100000)/allt;

      bool hit = false;
      if (golv) {
        for(mirror & m: floor) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit floor with " << m.points << " points" << endl;
            if (m.hit) break;
            hit = true;
            m.hit = true;
            currP += m.points;
            break;
          }
        }
      }
      else {
        for(mirror & m: ceiling) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit ceiling with " << m.points << " points " << endl;
            if(m.hit) break;
            hit = true;
            m.hit=true;
            currP += m.points;
            break;
          }
        }
      }
      if (!hit) {fail = true; break;}
      katet += 100; golv = !golv;
    }
    if(!fail)
      maxP = max(maxP, currP);
  }

  swap(ceiling, floor);
  h1  = 100-h1;
  h2 = 100-h2;

  rep(studsar, 100) {
    int currP = 0;

    int katet = h1;
    double allt;

    if (studsar%2)
      allt = h1+h2 + 100*(studsar-1);
    else
      allt = h1+(100-h2) + 100*studsar;

    for(mirror &m:floor) m.hit=false;
    for(mirror &m:ceiling) m.hit=false;

    bool golv = true;
    bool fail = false;
    rep(studs, studsar) {
      double pos = (katet*100000)/allt;

      bool hit = false;
      if (golv) {
        for(mirror & m: floor) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit floor with " << m.points << " points" << endl;
            if (m.hit) break;
            hit = true;
            m.hit = true;
            currP += m.points;
            break;
          }
        }
      }
      else {
        for(mirror & m: ceiling) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit ceiling with " << m.points << " points " << endl;
            if(m.hit) break;
            hit = true;
            m.hit=true;
            currP += m.points;
            break;
          }
        }
      }
      if (!hit) {fail = true; break;}
      katet += 100; golv = !golv;
    }
    if(!fail)
      maxP = max(maxP, currP);
  }

  /*rep(studsar, 100) {
    int currP = 0;

    int katet = 100-h1;
    double allt;

    if (studsar%2)
      allt = (100-h1)+(100-h2) + 100*(studsar-1);
    else
      allt = (100-h1)+h2 + 100*studsar;

    for(mirror &m:floor) m.hit=false;
    for(mirror &m:ceiling) m.hit=false;

    bool golv = false;
    bool fail = false;
    rep(studs, studsar) {
      double pos = (katet*100000)/allt;
      //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos  << endl;
      bool hit = false;
      if (golv) {
        for(mirror & m: floor) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit ceiling with " << m.points << " points " << endl;
            if (m.hit) break;
            hit = true;
            m.hit = true;
            currP += m.points;
            break;
          }
        }
      }
      else {
        for(mirror & m: ceiling) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit ceiling with " << m.points << " points " << endl;
            if(m.hit) break;
            hit = true;
            m.hit=true;
            currP += m.points;
            break;
          }
        }
      }
      if (!hit) {fail = true; break;}
      katet += 100; golv = !golv;
    }
    if(!fail)
      maxP = max(maxP, currP);
      }*/

  printf("%d\n", maxP);
  return 0;
}


#include <stdio.h>
#include <algorithm>
#include <iostream>
#include <string>
#include <vector>
#include <limits>
#include <set>
#include <map>
#include <utility>
#include <cassert>
using namespace std;
typedef unsigned int ui;
typedef unsigned long long ull;
typedef vector<ui> vui;
typedef vector<int> vi;
typedef vector<bool> vbool;
typedef map<int, int> mii;
#define rep(i, n) for(ui i=0; i<n; ++i)
const ui INF = numeric_limits<ui>::max();
/*
  50 50 7
  10 F 1 80000
  20 T 1 80000
  30 T 81000 82000
  40 T 83000 84000
  50 T 85000 86000
  60 T 87000 88000
  70 F 81000 89000
*/

struct mirror {
  int start, stop, points;
  bool hit;
  mirror(int sta, int sto, int poi) : start(sta), stop(sto), points(poi), hit(false) {}
};

int main() {

  vector<mirror > ceiling;
  vector<mirror > floor;

  int h1, h2, m; scanf("%d %d %d", &h1, &h2, &m);
  rep(i, m) {
    int poi, fro, to;
    char what;
    scanf("%d %c %d %d", &poi, &what, &fro, &to);
    if (what == 'F') {
      floor.push_back(mirror(fro, to, poi));
    }
    else ceiling.push_back(mirror(fro, to, poi));
  }

  int maxP = 0;
  rep(studsar, 101) {
    int currP = 0;

    int katet = h1;
    double allt;

    if (studsar%2)
      allt = h1+h2 + 100*(studsar-1);
    else
      allt = h1+(100-h2) + 100*studsar;

    for(mirror &m:floor) m.hit=false;
    for(mirror &m:ceiling) m.hit=false;

    bool golv = true;
    bool fail = false;
    rep(studs, studsar) {
      double pos = (katet*100000)/allt;

      bool hit = false;
      if (golv) {
        for(mirror & m: floor) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit floor with " << m.points << " points" << endl;
            if (m.hit) goto stop;
            hit = true;
            m.hit = true;
            currP += m.points;
            break;
          }
        }
      }
      else {
        for(mirror & m: ceiling) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit ceiling with " << m.points << " points " << endl;
            if(m.hit) goto stop;
            hit = true;
            m.hit=true;
            currP += m.points;
            break;
          }
        }
      }
      if (!hit) {fail = true; break;}
      katet += 100; golv = !golv;
    }
    if(!fail)
      maxP = max(maxP, currP);
  stop:;
  }

  swap(ceiling, floor);
  h1  = 100-h1;
  h2 = 100-h2;

  rep(studsar, 101) {
    int currP = 0;

    int katet = h1;
    double allt;

    if (studsar%2)
      allt = h1+h2 + 100*(studsar-1);
    else
      allt = h1+(100-h2) + 100*studsar;

    for(mirror &m:floor) m.hit=false;
    for(mirror &m:ceiling) m.hit=false;

    bool golv = true;
    bool fail = false;
    rep(studs, studsar) {
      double pos = (katet*100000)/allt;

      bool hit = false;
      if (golv) {
        for(mirror & m: floor) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit floor with " << m.points << " points" << endl;
            if (m.hit) goto stop7;
            hit = true;
            m.hit = true;
            currP += m.points;
            break;
          }
        }
      }
      else {
        for(mirror & m: ceiling) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit ceiling with " << m.points << " points " << endl;
            if(m.hit) goto stop7;
            hit = true;
            m.hit=true;
            currP += m.points;
            break;
          }
        }
      }
      if (!hit) {fail = true; break;}
      katet += 100; golv = !golv;
    }
    if(!fail)
      maxP = max(maxP, currP);
  stop7:;
  }
  /*rep(studsar, 101) {
    int currP = 0;

    int katet = h1;
    double allt;

    if (studsar%2)
      allt = h1+h2 + 100*(studsar-1);
    else
      allt = h1+(100-h2) + 100*studsar;

    for(mirror &m:floor) m.hit=false;
    for(mirror &m:ceiling) m.hit=false;

    bool golv = true;
    bool fail = false;
    rep(studs, studsar) {
      double pos = (katet*100000)/allt;

      bool hit = false;
      if (golv) {
        for(mirror & m: floor) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit floor with " << m.points << " points" << endl;
            if (m.hit) break;
            hit = true;
            m.hit = true;
            currP += m.points;
            break;
          }
        }
      }
      else {
        for(mirror & m: ceiling) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit ceiling with " << m.points << " points " << endl;
            if(m.hit) break;
            hit = true;
            m.hit=true;
            currP += m.points;
            break;
          }
        }
      }
      if (!hit) {fail = true; break;}
      katet += 100; golv = !golv;
    }
    if(!fail)
      maxP = max(maxP, currP);
      }*/

  /*rep(studsar, 100) {
    int currP = 0;

    int katet = 100-h1;
    double allt;

    if (studsar%2)
      allt = (100-h1)+(100-h2) + 100*(studsar-1);
    else
      allt = (100-h1)+h2 + 100*studsar;

    for(mirror &m:floor) m.hit=false;
    for(mirror &m:ceiling) m.hit=false;

    bool golv = false;
    bool fail = false;
    rep(studs, studsar) {
      double pos = (katet*100000)/allt;
      //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos  << endl;
      bool hit = false;
      if (golv) {
        for(mirror & m: floor) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit ceiling with " << m.points << " points " << endl;
            if (m.hit) break;
            hit = true;
            m.hit = true;
            currP += m.points;
            break;
          }
        }
      }
      else {
        for(mirror & m: ceiling) {
          if (m.start <= pos && pos <= m.stop) {
            //cout << "studs = " << studs << " av " << studsar << ", pos = " << pos << " hit ceiling with " << m.points << " points " << endl;
            if(m.hit) break;
            hit = true;
            m.hit=true;
            currP += m.points;
            break;
          }
        }
      }
      if (!hit) {fail = true; break;}
      katet += 100; golv = !golv;
    }
    if(!fail)
      maxP = max(maxP, currP);
      }*/

  printf("%d\n", maxP);
  return 0;
}