# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1147330 | leo12345 | Coin Collecting (JOI19_ho_t4) | Java | 0 ms | 0 KiB |
import java.util.*;
public class Main {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
int N = scanner.nextInt();
int[][] coins = new int[2 * N][2];
for (int i = 0; i < 2 * N; i++) {
coins[i][0] = scanner.nextInt();
coins[i][1] = scanner.nextInt();
}
Arrays.sort(coins, Comparator.comparingInt(a -> a[0]));
List<int[]> targetPositions = new ArrayList<>();
for (int x = 1; x <= N; x++) {
targetPositions.add(new int[]{x, 1});
targetPositions.add(new int[]{x, 2});
}
targetPositions.sort(Comparator.comparingInt(a -> a[0]));
long[][] dp = new long[2 * N + 1][2 * N + 1];
for (int i = 1; i <= 2 * N; i++) dp[i][0] = Long.MAX_VALUE / 2;
for (int j = 1; j <= 2 * N; j++) dp[0][j] = Long.MAX_VALUE / 2;
for (int i = 1; i <= 2 * N; i++) {
for (int j = 1; j <= 2 * N; j++) {
int cost = Math.abs(coins[i - 1][0] - targetPositions.get(j - 1)[0]) +
Math.abs(coins[i - 1][1] - targetPositions.get(j - 1)[1]);
dp[i][j] = Math.min(dp[i - 1][j], dp[i - 1][j - 1] + cost);
}
}
System.out.println(dp[2 * N][2 * N]);
}
}