crypto_disk.cpp

#include <array>
#include <cmath>
#include <iostream>
#include <string>
#include <tuple>

constexpr double PI = 3.14159265358979323846;

int main() {
    std::array<std::pair<double, double>, 'Z' - 'A' + 1> char_coords{};
    double disk_rad = 0.;
    std::cin >> disk_rad;
    for (unsigned i = 0; i < 26; ++i) {
        char letter;
        double angle = 0.;
        std::cin >> letter >> angle;
        angle *= PI / 180.;
        char_coords[letter - 'A'] = {std::cos(angle) * disk_rad, std::sin(angle) * disk_rad};
    }

    std::string message;
    std::cin >> std::ws;
    std::getline(std::cin, message);
    double length = 0.;
    std::pair<double, double> last_coords = {0., 0.};
    for (char c : message) {
        c = std::toupper(c);
        if ('A' <= c && c <= 'Z') {
            auto coords = char_coords[c - 'A'];
            length +=
                std::hypot(coords.first - last_coords.first, coords.second - last_coords.second);
            last_coords = coords;
        }
    }

    std::cout << std::ceil(length);
}