2025-09-12 14:50:25 -03:00

171 lines
3.4 KiB
C++

/* Problem URL: https://codeforces.com/gym/104020/problem/F */
#include <bits/stdc++.h>
using namespace std;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (size_t i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (size_t i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
#define double long double
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
string a, b;
cin >> a >> b;
double ang1;
double ang2;
map<string, double> var;
var["N"] = 0;
var["E"] = 90;
var["S"] = 180;
var["W"] = 270;
var["NE"] = 45;
var["SE"] = 135;
var["SW"] = 225;
var["NW"] = 315;
if (a.size() == 1) {
ang1 = var[a];
} else {
ang1 = var[a.substr(a.size() - 2)];
map<char, double> mul;
mul['W'] = 1;
mul['E'] = 1;
mul['S'] = 1;
mul['N'] = 1;
string tmp = a.substr(a.size() - 2);
if (tmp == "NE") {
mul['N'] = -1;
} else if (tmp == "SE") {
mul['E'] = -1;
} else if (tmp == "SW") {
mul['S'] = -1;
} else {
mul['W'] = -1;
}
a.pop_back();
a.pop_back();
double now = 45 / (double)2;
while (!a.empty()) {
ang1 += now * mul[a.back()];
a.pop_back();
now /= 2;
}
}
if (b.size() == 1) {
ang2 = var[b];
} else {
ang2 = var[b.substr(b.size() - 2)];
map<char, double> mul;
mul['W'] = 1;
mul['E'] = 1;
mul['S'] = 1;
mul['N'] = 1;
string tmp = b.substr(b.size() - 2);
if (tmp == "NE") {
mul['N'] = -1;
} else if (tmp == "SE") {
mul['E'] = -1;
} else if (tmp == "SW") {
mul['S'] = -1;
} else {
mul['W'] = -1;
}
b.pop_back();
b.pop_back();
double now = 45 / (double)2;
while (!b.empty()) {
ang2 += now * mul[b.back()];
b.pop_back();
now /= 2;
}
}
if (ang1 < ang2) {
swap(ang1, ang2);
}
cout << fixed << setprecision(20) << min(ang1 - ang2, (ang2 - ang1) + 360) << '\n';
}