day16a.cpp (3566B)
1 #include <algorithm> 2 #include <cstdint> 3 #include <iostream> 4 #include <queue> 5 #include <string> 6 #include <string_view> 7 #include <vector> 8 #include <set> 9 using namespace std; 10 11 class Direction { 12 public: 13 int U, R; 14 15 Direction(char c) : 16 U{c == 'v' ? 1 : (c == '^' ? -1 : 0)}, 17 R{c == '>' ? 1 : (c == '<' ? -1 : 0)} {} 18 19 Direction(const int i, const int j) : U{i}, R{j} {} 20 21 Direction turnright() const { 22 return turn(-1, 0); 23 } 24 25 Direction turnleft() const { 26 return turn(1, 0); 27 } 28 29 bool operator<(const Direction& d) const { // For set<Direction> 30 return this->U < d.U || (this->U == d.U && this->R < d.R); 31 } 32 33 int index() const { 34 if (U == 1 && R == 0) return 0; 35 if (U == -1 && R == 0) return 1; 36 if (U == 0 && R == 1) return 2; 37 if (U == 0 && R == -1) return 3; 38 return -1; 39 } 40 private: 41 Direction turn(int64_t sin, int64_t cos) const { 42 return Direction(cos * U - sin * R, sin * U + cos * R); 43 } 44 }; 45 46 class Position { 47 public: 48 int64_t i, j; 49 50 Position() : Position(0, 0) {} 51 52 Position(int64_t a, int64_t b) : i{a}, j{b} {} 53 54 Position step(const Direction d) const { 55 return Position(i+d.U, j+d.R); 56 } 57 }; 58 59 const Direction all_directions[] = { 60 Direction(1, 0), Direction(-1, 0), Direction(0, 1), Direction(0, -1) 61 }; 62 63 class Qelem { 64 public: 65 int64_t distance; 66 Position p; 67 Direction d; 68 69 Qelem(int dis, Position pp, Direction dd) : 70 distance{dis}, p{pp}, d{dd} {} 71 72 bool operator<(const Qelem& other) const { 73 return distance > other.distance; 74 } 75 }; 76 77 class Board { 78 public: 79 int64_t N, M; 80 81 Board(const vector<string>& lines) : 82 N{static_cast<int64_t>(lines.size())}, 83 M{static_cast<int64_t>(lines[0].size())}, 84 cells(M*N), visited(4*M*N) 85 { 86 for (int64_t i = 0; i < N; i++) 87 for (int64_t j = 0; j < M; j++) 88 cells[M*i+j] = lines[i][j]; 89 } 90 91 char& operator[](const Position p) { 92 if (const auto c = coord(p); c == -1) 93 return out_of_bound; 94 else 95 return cells[c]; 96 } 97 98 Position find_S() { 99 for (Position p(0, 0); p.i < N; p.i++) 100 for (p.j = 0; p.j < M; p.j++) 101 if ((*this)[p] == 'S') 102 return p; 103 return Position(-1, -1); 104 } 105 106 int shortest_path(Position p, Direction d) { 107 clear_visited(); 108 priority_queue<Qelem> q; 109 110 q.push(Qelem(0, p, d)); 111 112 while (!q.empty()) { 113 auto e = q.top(); 114 q.pop(); 115 116 if ((*this)[e.p] == 'E') 117 return e.distance; 118 119 if (is_visited(e.p, e.d) || (*this)[e.p] == '#') 120 continue; 121 set_visited(e.p, e.d); 122 123 q.push(Qelem(e.distance+1000, e.p, e.d.turnright())); 124 q.push(Qelem(e.distance+1000, e.p, e.d.turnleft())); 125 q.push(Qelem(e.distance+1, e.p.step(e.d), e.d)); 126 } 127 return 999999999; 128 } 129 130 void print() { 131 for (Position p(0, 0); p.i < N; p.i++) { 132 for (p.j = 0; p.j < M; p.j++) 133 cout << (*this)[p]; 134 cout << endl; 135 } 136 } 137 private: 138 char out_of_bound = '$'; 139 140 vector<char> cells; 141 vector<bool> visited; 142 143 int64_t coord(const Position p) const { 144 auto [i, j] = p; 145 return i >= N || i < 0 || j >= M || j < 0 ? -1 : M * i + j; 146 } 147 148 void clear_visited() { 149 for (int64_t i = 0; i < 4*M*N; i++) 150 visited[i] = false; 151 } 152 153 bool is_visited(const Position p, const Direction d) { 154 if (const auto c = coord(p); c == -1) 155 return false; 156 else 157 return visited[4*c + d.index()]; 158 } 159 160 void set_visited(const Position p, const Direction d) { 161 if (const auto c = coord(p); c != -1) 162 visited[4*c + d.index()] = true; 163 } 164 }; 165 166 int main() { 167 string line; 168 vector<string> lines; 169 170 while (getline(cin, line)) 171 lines.push_back(line); 172 173 Board board(lines); 174 Direction d('>'); 175 Position p = board.find_S(); 176 177 cout << board.shortest_path(p, d) << endl; 178 179 return 0; 180 }