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View the Project on GitHub AlexanderNekrasov/Youthful-Passion-Fruit-teambook
// Yandex Algo 2023-2024. C. Геометрия 1 E - Расстояние от точки до прямой
// https://ejudge.algocode.ru/cgi-bin/new-client?contest_id=55061
#define main main228
#include "../../../contest/template.cpp"
#undef main
#include "../../../geometry/Point.cpp"
#include "../../../geometry/Line.cpp"
signed main() {
cin.tie(0)->sync_with_stdio(0);
cout.precision(20), cout.setf(ios::fixed);
point p;
cin >> p.x >> p.y;
line l;
cin >> l.a >> l.b >> l.c;
l.norm();
cout << abs(l.eval(p)) << endl;
}
#line 1 "verify/geometry/igor-tests/05.cpp"
// Yandex Algo 2023-2024. C. Геометрия 1 E - Расстояние от точки до прямой
// https://ejudge.algocode.ru/cgi-bin/new-client?contest_id=55061
#define main main228
#line 1 "contest/template.cpp"
#ifdef LOCAL
#define _GLIBCXX_DEBUG
#endif
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
#define pbc push_back
#define mp make_pair
#define all(v) (v).begin(), (v).end()
#define vin(v) for (auto &el : a) cin >> el
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
template <typename T1, typename T2> inline void chkmin(T1 &x, const T2 &y) {
if (y < x) {
x = y;
}
}
template <typename T1, typename T2> inline void chkmax(T1 &x, const T2 &y) {
if (x < y) {
x = y;
}
}
void solve() {
}
signed main() {
cin.tie(0)->sync_with_stdio(0);
cout.precision(20), cout.setf(ios::fixed);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
}
#line 6 "verify/geometry/igor-tests/05.cpp"
#undef main
#line 1 "geometry/Point.cpp"
/**
* Author: alexxela12345,daubi,talant
* Date: 2024-08-03
* Description: struct Point
*/
const ld EPS = 1e-7;
ld sq(ld x) {
return x * x;
}
int sign(ld x) {
if (x < -EPS) {
return -1;
}
if (x > EPS) {
return 1;
}
return 0;
}
#define vec point
struct point {//% - cross, * - dot
ld x, y;
auto operator<=>(const point&) const = default;
};
ld operator*(const point &a, const point &b) {
return a.x * b.x + a.y * b.y;
}
ld operator%(const point &a, const point &b) {
return a.x * b.y - a.y * b.x;
}
point operator-(const point &a, const point &b) {
return {a.x - b.x, a.y - b.y};
}
point operator+(const point &a, const point &b) {
return {a.x + b.x, a.y + b.y};
}
point operator*(const point &a, ld b) {
return {a.x * b, a.y * b};
}
point operator/(const point &a, ld b) {
return {a.x / b, a.y / b};
}
bool operator<(const point &a, const point &b) {
if (sign(a.y - b.y) != 0) {
return a.y < b.y;
} else if (sign(a.x - b.x) != 0) {
return a.x < b.x;
}
return 0;
}
ld len2(const point &a) {
return sq(a.x) + sq(a.y);
}
ld len(const point &a) {
return sqrt(len2(a));
}
point norm(point a) {
return a / len(a);
}
int half(point a) {
return (sign(a.y) == -1 || (sign(a.y) ==0 && a.x < 0));
}
point ort(point a) {
return {-a.y, a.x};
}
point turn(point a, ld ang) {
return {a.x * cos(ang) - a.y * sin(ang), a.x * sin(ang) + a.y * cos(ang)};
}
ld getAngle(point &a, point &b) {
return atan2(a % b, a * b);
}
bool cmpHalf(const point &a, const point &b) {
if (half(a) != half(b)) {
return half(b);
} else {
int sgn = sign(a % b);
if (!sgn) {
return len2(a) < len2(b);
} else {
return sgn == 1;
}
}
}
#line 1 "geometry/Line.cpp"
/**
* Author: alexxela12345,daubi,talant
* Date: 2024-08-03
* Description: struct Line
*/
struct line {
ld a, b, c;
void norm() {
// for half planes
ld d = len({a, b});
assert(sign(d) > 0);
a /= d;
b /= d;
c /= d;
}
ld eval(point p) const { return a * p.x + b * p.y + c; }
bool isIn(point p) const { return sign(eval(p)) >= 0; }
bool operator==(const line &other) const {
return sign(a * other.b - b * other.a) == 0 &&
sign(a * other.c - c * other.a) == 0 &&
sign(b * other.c - c * other.b) == 0;
}
};
line getln(point a, point b) {
line res;
res.a = a.y - b.y;
res.b = b.x - a.x;
res.c = -(res.a * a.x + res.b * a.y);
res.norm();
return res;
}
#line 10 "verify/geometry/igor-tests/05.cpp"
signed main() {
cin.tie(0)->sync_with_stdio(0);
cout.precision(20), cout.setf(ios::fixed);
point p;
cin >> p.x >> p.y;
line l;
cin >> l.a >> l.b >> l.c;
l.norm();
cout << abs(l.eval(p)) << endl;
}