#include<cstdio>

#include<cstring>

#include<cmath>

#include<iostream>

#include<algorithm>

#include<queue>

using namespace std;

const double eps = 1e-;

const double PI = acos(-1.0);

const double INF = 1000000000000000.000;

struct Point{

    double x,y;

    Point(double x=, double y=) : x(x),y(y){ }    //构造函数

};

typedef Point Vector;

Vector operator + (Vector A , Vector B){return Vector(A.x+B.x,A.y+B.y);}

Vector operator - (Vector A , Vector B){return Vector(A.x-B.x,A.y-B.y);}

Vector operator * (double p,Vector A){return Vector(A.x*p,A.y*p);}

Vector operator / (Vector A , double p){return Vector(A.x/p,A.y/p);}

bool operator < (const Point& a,const Point& b){

    return a.x < b.x ||( a.x == b.x && a.y < b.y);

}

int dcmp(double x){

    if(fabs(x) < eps) return ;

    else              return x <  ? - : ;

}

bool operator == (const Point& a, const Point& b){

    return dcmp(a.x - b.x) ==  && dcmp(a.y - b.y) == ;

}

///向量（x,y）的极角用atan2(y,x);

inline double Dot(Vector A, Vector B){ return A.x*B.x + A.y*B.y; }

inline double Length(Vector A)    { return sqrt(Dot(A,A)); }

inline double Angle(Vector A, Vector B)  { return acos(Dot(A,B) / Length(A) / Length(B)); }

double Cross(Vector A, Vector B)  { return A.x*B.y - A.y * B.x; }

Point read_point(){

    Point A;

    scanf("%lf %lf",&A.x,&A.y);

    return A;

}

/*************************************分 割 线*****************************************/

int main()

{

    //freopen("E:\\acm\\input.txt","r",stdin);

    double W,D;

    Point S,T;

    char s[];

    scanf("%lf %lf",&W,&D);

    double x,y;

    scanf("%lf %lf",&x,&y);

    S = Point(-x,y);

    scanf("%lf %lf",&x,&y);

    T = Point(-x,y);

    scanf("%s",s);

    int len = strlen(s);

    for(int i=;i<len;i++){

        if(s[i] == 'F'){

            S.y = -S.y;

        }

        else if(s[i] == 'L'){

            S.x = -S.x;

        }

        else if(s[i] == 'B'){

            S.y = *D -S.y;

        }

        if(s[i] == 'R'){

            S.x = -*W-S.x;

        }

        //cout<<S.x<<"    "<<S.y<<endl;

    }

    double ans = Length(S-T);

    printf("%.4lf\n",ans);

}