# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1148102 | humerez_s | Coin Collecting (JOI19_ho_t4) | Java | 0 ms | 0 KiB |
import java.util.*;
public class Main {
static int n;
static List<Integer> xCoords = new ArrayList<>();
static List<Integer> yCoords = new ArrayList<>();
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
n = sc.nextInt();
int totalCoins = 2 * n;
for (int i = 0; i < totalCoins; i++) {
int x = sc.nextInt();
int y = sc.nextInt();
xCoords.add(x);
yCoords.add(y);
}
// Ordenar para minimizar el movimiento
Collections.sort(xCoords);
Collections.sort(yCoords);
// Generar posiciones objetivo
List<Integer> targetX = new ArrayList<>();
List<Integer> targetY = new ArrayList<>();
for (int i = 1; i <= n; i++) {
targetX.add(i);
targetX.add(i);
}
for (int i = 1; i <= n; i++) {
targetY.add(1);
}
for (int i = 1; i <= n; i++) {
targetY.add(2);
}
// Verificar tamaño correcto
if (targetX.size() != totalCoins || targetY.size() != totalCoins) {
System.err.println("Error: Los tamaños de targetX o targetY no coinciden.");
return;
}
// Aplicar DP con Knapsack 0/1
long result = calculateMinimumMoves(targetX, targetY);
System.out.println(result);
sc.close();
}
private static long calculateMinimumMoves(List<Integer> targetX, List<Integer> targetY) {
int size = xCoords.size();
long[][] dp = new long[size + 1][size + 1];
// Llenar DP con valores grandes (Infinity)
for (int i = 0; i <= size; i++) {
Arrays.fill(dp[i], Long.MAX_VALUE);
}
dp[0][0] = 0; // Caso base
// Aplicar DP estilo Knapsack 0/1 sin repetición
for (int i = 1; i <= size; i++) {
for (int j = 1; j <= size; j++) {
long moveCost = Math.abs(xCoords.get(i - 1) - targetX.get(j - 1)) +
Math.abs(yCoords.get(i - 1) - targetY.get(j - 1));
if (dp[i - 1][j - 1] != Long.MAX_VALUE) {
dp[i][j] = Math.min(dp[i - 1][j - 1] + moveCost, dp[i - 1][j]);
} else {
dp[i][j] = dp[i - 1][j];
}
}
}
return dp[size][size];
}
}