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| 1 | +package veryhard400; |
| 2 | + |
| 3 | +import java.util.*; |
| 4 | + |
| 5 | +public class KillingZombies { |
| 6 | + char turnClockwise(char c) { |
| 7 | + if (c == 'N') |
| 8 | + return 'E'; |
| 9 | + else if (c == 'E') |
| 10 | + return 'S'; |
| 11 | + else if (c == 'S') |
| 12 | + return 'W'; |
| 13 | + else if (c == 'W') |
| 14 | + return 'N'; |
| 15 | + |
| 16 | + return c; |
| 17 | + } |
| 18 | + |
| 19 | + class Zombie { |
| 20 | + int id; |
| 21 | + int x, y; |
| 22 | + char direction; |
| 23 | + |
| 24 | + public Zombie(int id, int x, int y, char direction) { |
| 25 | + this.id = id; |
| 26 | + this.x = x; |
| 27 | + this.y = y; |
| 28 | + this.direction = direction; |
| 29 | + } |
| 30 | + |
| 31 | + @Override |
| 32 | + public boolean equals(Object o) { |
| 33 | + if (this == o) |
| 34 | + return true; |
| 35 | + if (o == null || getClass() != o.getClass()) |
| 36 | + return false; |
| 37 | + Zombie zombie = (Zombie) o; |
| 38 | + return x == zombie.x && y == zombie.y && direction == zombie.direction; |
| 39 | + } |
| 40 | + |
| 41 | + @Override |
| 42 | + public int hashCode() { |
| 43 | + return Objects.hash(x, y, direction); |
| 44 | + } |
| 45 | + } |
| 46 | + |
| 47 | + class State { |
| 48 | + int x, y; |
| 49 | + List<Zombie> zombies; |
| 50 | + int mask; |
| 51 | + |
| 52 | + public State(int x, int y, List<Zombie> zombies, int mask) { |
| 53 | + this.x = x; |
| 54 | + this.y = y; |
| 55 | + this.zombies = zombies; |
| 56 | + this.mask = mask; |
| 57 | + } |
| 58 | + |
| 59 | + @Override |
| 60 | + public boolean equals(Object o) { |
| 61 | + if (this == o) |
| 62 | + return true; |
| 63 | + if (o == null || getClass() != o.getClass()) |
| 64 | + return false; |
| 65 | + State state = (State) o; |
| 66 | + return x == state.x && y == state.y && Objects.equals(zombies, state.zombies); |
| 67 | + } |
| 68 | + |
| 69 | + @Override |
| 70 | + public int hashCode() { |
| 71 | + return Objects.hash(x, y, zombies); |
| 72 | + } |
| 73 | + } |
| 74 | + |
| 75 | + Zombie moveZombie(Zombie z, int n, int m, String[] field) { |
| 76 | + if (z.direction == 'N') { |
| 77 | + if (field[z.x - 1].charAt(z.y) != '#') |
| 78 | + return new Zombie(z.id, z.x - 1, z.y, z.direction); |
| 79 | + else |
| 80 | + return new Zombie(z.id, z.x, z.y, turnClockwise(z.direction)); |
| 81 | + } else if (z.direction == 'S') { |
| 82 | + if (field[z.x + 1].charAt(z.y) != '#') |
| 83 | + return new Zombie(z.id, z.x + 1, z.y, z.direction); |
| 84 | + else |
| 85 | + return new Zombie(z.id, z.x, z.y, turnClockwise(z.direction)); |
| 86 | + } else if (z.direction == 'W') { |
| 87 | + if (field[z.x].charAt(z.y - 1) != '#') |
| 88 | + return new Zombie(z.id, z.x, z.y - 1, z.direction); |
| 89 | + else |
| 90 | + return new Zombie(z.id, z.x, z.y, turnClockwise(z.direction)); |
| 91 | + } else if (z.direction == 'E') { |
| 92 | + if (field[z.x].charAt(z.y + 1) != '#') |
| 93 | + return new Zombie(z.id, z.x, z.y + 1, z.direction); |
| 94 | + else |
| 95 | + return new Zombie(z.id, z.x, z.y, turnClockwise(z.direction)); |
| 96 | + } |
| 97 | + |
| 98 | + return new Zombie(0, 0, 0, 'x'); |
| 99 | + } |
| 100 | + |
| 101 | + public int timeToKill(String[] field) { |
| 102 | + |
| 103 | + int n = field.length, m = field[0].length(); |
| 104 | + int sx = 0, sy = 0; |
| 105 | + int cnt = 0; |
| 106 | + List<Zombie> zombies = new ArrayList<>(); |
| 107 | + for (int i = 0; i < n; i++) { |
| 108 | + for (int j = 0; j < m; j++) { |
| 109 | + if (field[i].charAt(j) == 'H') { |
| 110 | + sx = i; |
| 111 | + sy = j; |
| 112 | + } |
| 113 | + if (field[i].charAt(j) == 'N' || field[i].charAt(j) == 'W' || field[i].charAt(j) == 'S' |
| 114 | + || field[i].charAt(j) == 'E') { |
| 115 | + zombies.add(new Zombie(cnt++, i, j, field[i].charAt(j))); |
| 116 | + } |
| 117 | + } |
| 118 | + } |
| 119 | + |
| 120 | + // Map<State, Boolean> visited = new HashMap<>(); |
| 121 | + // Map<State, Integer> dp = new HashMap<>(); |
| 122 | + |
| 123 | + int[][][] dp = new int[21][21][1 << 12]; |
| 124 | + |
| 125 | + for (int i = 0; i < n; i++) |
| 126 | + for (int j = 0; j < m; j++) |
| 127 | + for (int k = 0; k < 1 << cnt; k++) |
| 128 | + dp[i][j][k] = 1 << 25; |
| 129 | + |
| 130 | + Queue<State> q = new LinkedList<>(); |
| 131 | + |
| 132 | + State start = new State(sx, sy, zombies, 0); |
| 133 | + dp[sx][sy][0] = 0; |
| 134 | + q.add(start); |
| 135 | + |
| 136 | + int[] dx = { -1, 1, 0, 0, 0 }; |
| 137 | + int[] dy = { 0, 0, -1, 1, 0 }; |
| 138 | + |
| 139 | + while (!q.isEmpty()) { |
| 140 | + State curr = q.remove(); |
| 141 | + // System.out.println(curr.x + " " + curr.y + " " + |
| 142 | + // Integer.toBinaryString(curr.mask) + " " + " Zombies: "); |
| 143 | + // for (int i=0; i< curr.zombies.size(); i++) |
| 144 | + // System.out.println(curr.zombies.get(i).x + " " + curr.zombies.get(i).y + " " |
| 145 | + // + curr.zombies.get(i).direction); |
| 146 | + if (dp[curr.x][curr.y][curr.mask] > 100) |
| 147 | + continue; |
| 148 | + if (curr.mask == ((1 << cnt) - 1)) { |
| 149 | + return dp[curr.x][curr.y][curr.mask]; |
| 150 | + } |
| 151 | + |
| 152 | + List<Zombie> movedZombies = new ArrayList<>(); |
| 153 | + |
| 154 | + for (Zombie z : curr.zombies) |
| 155 | + movedZombies.add(moveZombie(z, n, m, field)); |
| 156 | + |
| 157 | + for (int move = 0; move < 5; move++) { |
| 158 | + int nx = curr.x + dx[move], ny = curr.y + dy[move]; |
| 159 | + if (nx >= 0 && nx < n && ny >= 0 && ny < m && field[nx].charAt(ny) != '#') { |
| 160 | + |
| 161 | + List<Zombie> samePos = new ArrayList<>(); |
| 162 | + for (Zombie zombie : movedZombies) { |
| 163 | + if ((nx == zombie.x && ny == zombie.y)) |
| 164 | + samePos.add(zombie); |
| 165 | + } |
| 166 | + |
| 167 | + if (dp[nx][ny][curr.mask] > dp[curr.x][curr.y][curr.mask] + 1) { |
| 168 | + State next = new State(nx, ny, movedZombies, curr.mask); |
| 169 | + dp[nx][ny][curr.mask] = dp[curr.x][curr.y][curr.mask] + 1; |
| 170 | + q.add(next); |
| 171 | + } |
| 172 | + |
| 173 | + if (samePos.size() > 0) { |
| 174 | + for (Zombie samePo : samePos) { |
| 175 | + List<Zombie> nextZombies = new ArrayList<>(movedZombies); |
| 176 | + nextZombies.remove(samePo); |
| 177 | + int nmask = (curr.mask | (1 << samePo.id)); |
| 178 | + State next = new State(nx, ny, nextZombies, nmask); |
| 179 | + if (dp[nx][ny][nmask] > dp[curr.x][curr.y][curr.mask] + 1) { |
| 180 | + dp[nx][ny][nmask] = dp[curr.x][curr.y][curr.mask] + 1; |
| 181 | + q.add(next); |
| 182 | + } |
| 183 | + } |
| 184 | + } |
| 185 | + |
| 186 | + } |
| 187 | + } |
| 188 | + |
| 189 | + } |
| 190 | + return -1; |
| 191 | + } |
| 192 | + |
| 193 | + public static void main(String[] args) { |
| 194 | + KillingZombies k = new KillingZombies(); |
| 195 | + System.out.println(k.timeToKill(new String[] { "#######", "#H E #", "#######" })); |
| 196 | + System.out.println(k.timeToKill( |
| 197 | + new String[] { "#######", "# # # #", "## N##", "#W #", "#H# #", "#N ## #", "#######" })); |
| 198 | + System.out.println(k.timeToKill( |
| 199 | + new String[] { "#######", "## # ##", "# E##", "# S # #", "# E S #", "#H ##", "#######" })); |
| 200 | + } |
| 201 | +} |
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