#include<bits/stdc++.h>
#define F(i, a, b) for(int i = a; i <= b; i ++)

using namespace std;
using vi = vector<int>;
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define pii pair<int, int> 

typedef long long ll;
typedef unsigned long long ull;

#define N 110
typedef double T;
typedef double db;
const db pi = acosl(-1);
const db eps = 1e-8;
int sgn(T x) {
    if(fabs(x) < eps) return 0;
    else return x < 0 ? -1 : 1;
}
struct point {
    T x, y; 
    point() {}
    point(T x, T y) : x(x), y(y) {}
    point operator + (point B) const {return point(x + B.x, y + B.y);}
    point operator - (point B) const {return point(x - B.x, y - B.y);}
    point operator * (T k) const {return point(x * k, y * k);}
    point operator / (T k) const {return point(x / k, y / k);}
    bool operator == (point B) const {return sgn(x - B.x) == 0 && sgn(y - B.y) == 0;}
    bool operator < (point B) const {return sgn(x - B.x) < 0 || (sgn(x - B.x) == 0 && sgn(y - B.y) < 0);}
    T cross(point p) const {return x * p.y - y * p.x;}
    int left(point p) const {return sgn(cross(p));}
    T len() const {return sqrtl(x * x + y * y);}
    point rot(long double cosr, long double sinr) {return point(x * cosr - y * sinr, x * sinr + y * cosr);}
};
T dot(point x) {return x.x * x.x + x.y * x.y;}
db dis(point A, point B) {return sqrtl((A.x - B.x) * (A.x - B.x) + (A.y - B.y) * (A.y - B.y));}
int get_region(point p) {
    return sgn(p.y) < 0 ? -1 : sgn(p.y) > 0 | (sgn(p.y) == 0 & sgn(p.x) < 0);
}
bool cmp_arg(point a, point b) {
    int p = get_region(a), q = get_region(b);
    if(p != q) return p < q;
    if(a.left(b) == 0) return dot(a) < dot(b);
    return a.left(b) == 1;
} 

int n, x0, y0, d, t;
point o(0, 0);
pair<point, point> tangent(const point a) {
    point e = a; e = e / e.len() * d;
    long double costh = d / dis(a, o), sinth = sqrtl(1 - costh * costh);
    point t1 = o + e.rot(costh, -sinth), t2 = o + e.rot(costh, sinth); 
    // 两个切点
    return {t1, t2};
}
bool cmp(pair<point, pair<point, int>> x1, pair<point, pair<point, int>> x2) {
    return cmp_arg(x1.first, x2.first);
}
point rotate(point A, T rad) {
    return point(A.x * cosl(rad) - A.y * sinl(rad), A.x * sinl(rad) + A.y * cosl(rad));
}
db dot(point A, point B) {return A.x * B.x + A.y * B.y;}
db len(point A) {return sqrtl(dot(A, A));}
db angle(point A, point B) {
    db tmp = dot(A, B) / len(A) / len(B);
    if(tmp > 1) tmp = 1;
    else if(tmp < -1) tmp = -1;
    db res = acosl(tmp);
    // cout << res << "QAQ\n";
    // cout << A.x << " " << A.y << " " << B.x << " " << B.y << " " << B.left(A) << "????\n";
    if(B.left(A) == 1) res = 2 * pi - res;
    return res;
}

void sol() {
    cout << fixed << setprecision(10);
    cin >> n >> x0 >> y0 >> d >> t;
    vector<point> p;
    vector<pair<point, pair<point, int>>> qaq;
    F(i, 0, n - 1) {
        int x, y; cin >> x >> y;
        p.push_back(point(x, y));
        auto [u, v] = tangent(point(x, y));
        qaq.push_back({point(x, y) - u, {u, i}}), qaq.push_back({point(x, y) - v, {v, i}});
    }
    sort(qaq.begin(), qaq.end(), cmp);
    point st, ed;
    int cnt = 0;
    for(int i = 0; i < qaq.size(); i ++) if(qaq[i].first.left(qaq[(i + 1) % qaq.size()].first) == -1) {
        cnt ++;
        point u = qaq[(i + 1) % qaq.size()].second.first;
        point v = qaq[i].second.first;
        // cout << u.x << " " << u.y << "!!!\n";
        // cout << v.x << " " << v.y << "???\n";
        st = rotate(u, pi * 1.5), ed = rotate(v, pi / 2.0);
        // st = rotate(u, pi / 2.0), ed = rotate(v, pi * 1.5);
    }
    assert(cnt == 1);
    point S(x0, y0);
    S = S / S.len() * d;
    
    // cout << st.x << " " << st.y << "??\n";
    // cout << ed.x << " " << ed.y << "??\n";
    // cout << S.x << " " << S.y << "!!\n";
    int l = 0, r = 100000;
    while(l < r) {
        int mid = l + r + 1 >> 1;
        if(sgn(mid * 2.0 * pi - t) <= 0) l = mid;
        else r = mid - 1;
    }
    // cout << l << "???\n";
    // cout << l << "Q\n";
    // cout << angle(st, ed) << "::\n";
    long double res = angle(st, ed) * l;
    // cout << res << "!!\n";
    t -= l * (2.0 * pi);
    if(S.left(st) > 0 && ed.left(S) > 0) {
        if(sgn(t - angle(S, ed)) <= 0) res += t;
        else {
            t -= angle(S, ed);
            res += angle(S, ed);
            if(sgn(t - angle(ed, st)) > 0) {
                res += t - angle(ed, st);
            }
        }
    } else { 
        // cout << ">>\n";
        if(sgn(t - angle(S, st)) > 0) {
            t -= angle(S, st);
            if(sgn(t - angle(st, ed)) > 0) res += angle(st, ed);
            else res += t;
        }
    }
    cout << res << '\n';
}

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int T = 1;
    // cin >> T;
    while (T --) sol();
    return 0;
}
/*
3 1 0 1 1
1 2
2 1
2 2

3 1 0 1 2
1 2
2 1
2 2

3 1 0 1 10000
1 2
2 1
2 2
*/

answer.code:49:12: error: ‘int y0’ redeclared as different kind of entity
   49 | int n, x0, y0, d, t;
      |            ^~
In file included from /usr/include/features.h:461,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/os_defines.h:39,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/c++config.h:679,
                 from /usr/include/c++/13/cassert:43,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:33,
                 from answer.code:1:
/usr/include/x86_64-linux-gnu/bits/mathcalls.h:220:1: note: previous declaration ‘double y0(double)’
  220 | __MATHCALL (y0,, (_Mdouble_));
      | ^~~~~~~~~~
answer.code: In function ‘void sol()’:
answer.code:79:20: error: no match for ‘operator>>’ (operand types are ‘std::basic_istream<char>::__istream_type’ {aka ‘std::basic_istream<char>’} and ‘double(double) noexcept’)
   79 |     cin >> n >> x0 >> y0 >> d >> t;
      |     ~~~~~~~~~~~~~~ ^~ ~~
      |              |        |
      |              |        double(double) noexcept
      |              std::basic_istream<char>::__istream_type {aka std::basic_istream<char>}
In file included from /usr/include/c++/13/sstream:40,
                 from /usr/include/c++/13/complex:45,
                 from /usr/include/c++/13/ccomplex:39,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:127:
/usr/include/c++/13/istream:325:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(void*&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ (near match)
  325 |       operator>>(void*& __p)
      |       ^~~~~~~~
/usr/include/c++/13/istream:325:7: note:   conversion of argument 1 would be ill-formed:
answer.code:79:23: error: invalid conversion from ‘double (*)(double) noexcept’ to ‘void*’ [-fpermissive]
   79 |     cin >> n >> x0 >> y0 >> d >> t;
      |                       ^~
      |                       |
      |                       double (*)(double) noexcept
answer.code:79:23: error: cannot bind rvalue ‘(void*)y0’ to ‘void*&’
/usr/include/c++/13/istream:201:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long long unsigned int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ (near match)
  201 |       operator>>(unsigned long long& __n)
      |       ^~~~~~~~
/usr/include/c++/13/istream:201:7: note:   conversion of argument 1 would be ill-formed:
answer.code:79:23: error: invalid conversion from ‘double (*)(double) noexcept’ to ‘long long unsigned int’ [-fpermissive]
   79 |     cin >> n >> x0 >> y0 >> d >> t;
      |                       ^~
      |                       |
      |                       double (*)(double) noexcept
answer.code:79:23: error: cannot bind rvalue ‘(long long unsigned int)y0’ to ‘long long unsigned int&’
/usr/include/c++/13/istream:197:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long long int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ (near match)
  197 |       operator>>(long long& __n)
      |       ^~~~~~~~
/usr/include/c++/13/istream:197:7: note:   conversion of argument 1 would be ill-formed:
answer.code:79:23: error: invalid conversion from ‘double (*)(double) noexcept’ to ‘long long int’ [-fpermissive]
   79 |     cin >> n >> x0 >> y0 >> d >> t;
      |                       ^~
      |                       |
      |                       double (*)(double) noexcept
answer.code:79:23: error: cannot bind rvalue ‘(long long int)y0’ to ‘long long int&’
/usr/include/c++/13/istream:192:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long unsigned int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ (near match)
  192 |       operator>>(unsigned long& __n)
      |       ^~~~~~~~
/usr/include/c++/13/istream:192:7: note:   conversion of argument 1 would be ill-formed:
answer.code:79:23: error: invalid conversion from ‘double (*)(double) noexcept’ to ‘long unsigned int’ [-fpermissive]
   79 |     cin >> n >> x0 >> y0 >> d >> t;
      |                       ^~
      |                       |
      |                       double (*)(double) noexcept
answer.code:79:23: error: cannot bind rvalue ‘(long unsigned int)y0’ to ‘long unsigned int&’
/usr/include/c++/13/istream:188:7: note: candidate: ‘std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]’ (near match)
  188 |       operator>>(long& __n)
      |       ^~~~~~~~
/usr/include/c++/13/istream:188:7: note:   conversio...