#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
#include<chrono>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
//ll mod = 1;
constexpr ll mod = 998244353;
//constexpr ll mod = 1000000009;
const int mod17 = 1000000007;
const ll INF = (ll)mod17 * mod17;
typedef pair<int, int>P;

#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;

using ld = double;
typedef pair<ld, ld> LDP;
const ld eps = 1e-10;
const ld pi = acosl(-1.0);

template<typename T>
void chmin(T& a, T b) {
	a = min(a, b);
}
template<typename T>
void chmax(T& a, T b) {
	a = max(a, b);
}
template<typename T>
vector<T> vmerge(vector<T>& a, vector<T>& b) {
	vector<T> res;
	int ida = 0, idb = 0;
	while (ida < a.size() || idb < b.size()) {
		if (idb == b.size()) {
			res.push_back(a[ida]); ida++;
		}
		else if (ida == a.size()) {
			res.push_back(b[idb]); idb++;
		}
		else {
			if (a[ida] < b[idb]) {
				res.push_back(a[ida]); ida++;
			}
			else {
				res.push_back(b[idb]); idb++;
			}
		}
	}
	return res;
}
template<typename T>
void cinarray(vector<T>& v) {
	rep(i, v.size())cin >> v[i];
}
template<typename T>
void coutarray(vector<T>& v) {
	rep(i, v.size()) {
		if (i > 0)cout << " "; cout << v[i];
	}
	cout << "\n";
}
ll mod_pow(ll x, ll n, ll m = mod) {
	if (n < 0) {
		ll res = mod_pow(x, -n, m);
		return mod_pow(res, m - 2, m);
	}
	if (abs(x) >= m)x %= m;
	if (x < 0)x += m;
	//if (x == 0)return 0;
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
//mod should be <2^31
struct modint {
	int n;
	modint() :n(0) { ; }
	modint(ll m) {
		if (m < 0 || mod <= m) {
			m %= mod; if (m < 0)m += mod;
		}
		n = m;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
bool operator<(modint a, modint b) { return a.n < b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= (int)mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += (int)mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
modint operator/=(modint& a, modint b) { a = a / b; return a; }
const int max_n = 1 << 20;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}
modint combP(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[a - b];
}

ll gcd(ll a, ll b) {
	a = abs(a); b = abs(b);
	if (a < b)swap(a, b);
	while (b) {
		ll r = a % b; a = b; b = r;
	}
	return a;
}
template<typename T>
void addv(vector<T>& v, int loc, T val) {
	if (loc >= v.size())v.resize(loc + 1, 0);
	v[loc] += val;
}
/*const int mn = 2000005;
bool isp[mn];
vector<int> ps;
void init() {
	fill(isp + 2, isp + mn, true);
	for (int i = 2; i < mn; i++) {
		if (!isp[i])continue;
		ps.push_back(i);
		for (int j = 2 * i; j < mn; j += i) {
			isp[j] = false;
		}
	}
}*/

//[,val)
template<typename T>
auto prev_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	if (res == st.begin())return st.end();
	res--; return res;
}

//[val,)
template<typename T>
auto next_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	return res;
}
using mP = pair<modint, modint>;
mP operator+(mP a, mP b) {
	return { a.first + b.first,a.second + b.second };
}
mP operator+=(mP& a, mP b) {
	a = a + b; return a;
}
mP operator-(mP a, mP b) {
	return { a.first - b.first,a.second - b.second };
}
mP operator-=(mP& a, mP b) {
	a = a - b; return a;
}
LP operator+(LP a, LP b) {
	return { a.first + b.first,a.second + b.second };
}
LP operator+=(LP& a, LP b) {
	a = a + b; return a;
}
LP operator-(LP a, LP b) {
	return { a.first - b.first,a.second - b.second };
}
LP operator-=(LP& a, LP b) {
	a = a - b; return a;
}

mt19937 mt(time(0));

const string drul = "DRUL";
string senw = "SENW";
//DRUL,or SENW
//int dx[4] = { 1,0,-1,0 };
//int dy[4] = { 0,1,0,-1 };

//------------------------------------

typedef complex<ld> Point;
ld dot(Point a, Point b) { return real(conj(a) * b); }
ld cross(Point a, Point b) { return imag(conj(a) * b); }
namespace std {
	bool operator<(const Point& lhs, const Point& rhs) {
		return lhs.real() == rhs.real() ? lhs.imag() < rhs.imag() : lhs.real() < rhs.real();
	}
}
struct Line {
	Point a, b;
};
struct Circle {
	Point p; ld r;
};
int ccw(Point a, Point b, Point c) {
	b -= a; c -= a;
	if (cross(b, c) > eps)return 1;//counter clockwise
	if (cross(b, c) < -eps)return -1;//clock wise
	if (dot(b, c) < 0)return 2;//c--a--b on line
	if (norm(b) < norm(c))return -2;//a--b--c on line
	return 0; //a--c--b on line
}
typedef vector<Point> polygon;

bool eq(ld a, ld b) {
	return abs(a - b) < eps;
}
//2直線の交差判定
bool isis_ll(Line l, Line m) {
	return !eq(cross(l.b - l.a, m.b - m.a), 0);
}
//直線と線分の交差判定
bool isis_ls(Line l, Line s) {
	return (cross(l.b - l.a, s.a - l.a) * cross(l.b - l.a, s.b - l.a) < eps);
}
//点が直線上に存在するか
bool isis_lp(Line l, Point p) {
	return (abs(cross(l.b - p, l.a - p)) < eps);
}
//点が線分上に存在するか
bool isis_sp(Line s, Point p) {
	//誤差がisis_lpに比べて大きいので、できるだけisis_lpを使う
	return (abs(s.a - p) + abs(s.b - p) - abs(s.b - s.a) < eps);
}
//線分と線分の交差判定
//bool isis_ss(Line s, Line t) {
//	return(cross(s.b - s.a, t.a - s.a)*cross(s.b - s.a, t.b - s.a) < -eps && cross(t.b - t.a, s.a - t.a)*cross(t.b - t.a, s.b - t.a) < -eps);
//}
//線分と線分の交差判定2
//本当にそれは線分ですか？(check {(0,0),(2,0)},{(1,0),(1,0)})
bool isis_ss(Line s, Line t) {
	return ccw(s.a, s.b, t.a) * ccw(s.a, s.b, t.b) <= 0 && ccw(t.a, t.b, s.a) * ccw(t.a, t.b, s.b) <= 0;
}
//点から直線への垂線の足
Point proj(Line l, Point p) {
	ld t = dot(p - l.a, l.a - l.b) / norm(l.a - l.b);
	return l.a + t * (l.a - l.b);
}
//直線と直線の交点
//平行な２直線に対しては使うな！！！！
Point is_ll(Line s, Line t) {
	Point sv = s.b - s.a; Point tv = t.b - t.a;
	return s.a + sv * cross(tv, t.a - s.a) / cross(tv, sv);
}





int getdec(string& s, int& i) {
	int res = 0;
	int coef = 1;
	if (s[i] == '-') {
		coef = -1; i++;
	}
	while ('0' <= s[i] && s[i] <= '9') {
		res = 10 * res + (s[i] - '0');
		i++;
	}
	res *= coef;
	return res;
}


ld objx, objy;

bool expr(string& s, int& i);
bool subexpr(string& s, int& i);

bool expr(string& s, int& i) {
	if (s[i] == '(') {
		i++;
		if (s[i] == '!') {
			i++;
			bool res = expr(s, i);
			assert(s[i] == ')');
			i++;
			res = !res;
			return res;
		}
		else {
			bool res1 = expr(s, i);
			char op = s[i];
			i++;
			bool res2 = expr(s, i);
			assert(s[i] == ')');
			i++;
			bool res;
			if (op == '&') {
				res = res1 && res2;
			}
			else if (op == '|') {
				res = res1 || res2;
			}
			else {
				assert(op == '^');
				res = res1 ^ res2;
			}
			return res;
		}
	}
	else {
		return subexpr(s, i);
	}
}
bool subexpr(string& s, int& i) {
	assert(s[i] == '[');
	i++;
	int a = getdec(s, i);
	assert(s[i] == ',');
	i++;
	int b = getdec(s, i);
	assert(s[i] == ',');
	i++;
	int c = getdec(s, i);
	assert(s[i] == ']');
	i++;
	return a * objx + b * objy + c >= 0;
}

//-5 10 -10 5
//((!([1, 2, -3] & [10, 3, -2])) ^ ([-2, 3, 1] | [5, -2, 7]))
using ar = array<int, 3>;
void solve() {
	int lx, ly, rx, ry; cin >> lx >> rx >> ly >> ry;
	string s; cin >> s;
	vector<Line> ls;
	vector<ar> memls;
	ls.push_back({ Point{(ld)lx,(ld)ly},Point{(ld)rx,(ld)ly} });
	ls.push_back({ Point{(ld)lx,(ld)ry},Point{(ld)rx,(ld)ry} });
	memls.push_back({ 0,1,-ly });
	memls.push_back({ 0,1,-ry });
	vector<ld> xs;
	xs.push_back(lx);
	xs.push_back(rx);
	set<ld> zxs;
	rep(i, s.size())if (s[i] == '[') {
		i++;
		int a = getdec(s, i);
		i++;
		int b = getdec(s, i);
		i++;
		int c = getdec(s, i);
		//ax+by+c
		if (b == 0) {
			xs.push_back(-c / (ld)a);
			zxs.insert(-c / (ld)a);
		}
		else {
			Point pl = { 0,-c / (ld)b };
			Point pr = { 1,(-a - c) / (ld)b };
			ls.push_back({ pl,pr });
			memls.push_back({ a,b,c });
		}
	}
	rep(i, ls.size())Rep(j, i + 1, ls.size()) {
		if (isis_ll(ls[i], ls[j])) {
			Point p = is_ll(ls[i], ls[j]);
			xs.push_back(real(p));
		}
	}
	auto calc = [&](int id, ld x) {
		ar a = memls[id];
		ld res = (-a[0] * x - a[2]) / (ld)a[1];
		return res;
	};
	sort(all(xs));
	ld ans = 0;

	map<P, int> mem;
	rep(i, xs.size() - 1) {
		if (zxs.count(xs[i]))mem.clear();
		map<P, int> nmem;
		if (xs[i + 1] - xs[i] < eps)continue;
		if (lx <= xs[i] && xs[i + 1] <= rx) {
			ld mx = (xs[i + 1] + xs[i]) / 2.0;
			vector<pair<ld, int>> lines;
			rep(j, memls.size()) {
				ar a = memls[j];
				ld cy = calc(j, mx);
				if (ly - eps <= cy && cy <= ry + eps) {
					lines.push_back({ cy,j });
				}
			}
			sort(all(lines));
			rep(j, lines.size() - 1) {
				int idl = lines[j].second;
				int idr = lines[j + 1].second;
				//cout << i << " " << xs[i + 1] << " " << idl << " " << idr << "\n";
				P pp = { idl,idr };
				bool valid;
				if (mem.find(pp) != mem.end()) {
					/*ld my = 0;
					my += calc(idr, mx);
					my += calc(idl, mx);
					my /= 2.0;
					objx = mx, objy = my;
					int z = 0;
					bool b = expr(s, z);
					assert(b == mem[pp]);*/
					valid = mem[pp];
				}
				else {
					ld my = 0;
					my += calc(idr, mx);
					my += calc(idl, mx);
					my /= 2.0;
					objx = mx, objy = my;
					int z = 0;
					valid = expr(s, z);
					assert(z == s.size());
				}
				nmem[pp] = valid;
				

				if (valid) {
					ld lenl = 0, lenr = 0;
					lenl += calc(idr, xs[i]);
					lenl -= calc(idl, xs[i]);
					lenr += calc(idr, xs[i + 1]);
					lenr -= calc(idl, xs[i + 1]);
					ld s = (lenr + lenl) * (xs[i + 1] - xs[i]) / 2.0;
					ans += s;
				}

			}
		}
		swap(mem, nmem);
	}
	cout << ans << "\n";
}



signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout << fixed << setprecision(10);
	//init_f();
	//init();
	//while(true)
	//expr();
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}