static int n;
static int[][] map;
static final int[] dr = {-1, 0, 1, 0};
static final int[] dc = {0, 1, 0, -1};
static class Node implements Comparable<Node> {
int r;
int c;
int cost;
Node(int r, int c, int cost) {
this.r = r;
this.c = c;
this.cost = cost;
}
@Override
public int compareTo(Node other) {
return Integer.compare(this.cost, other.cost);
}
}
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
StringBuilder sb = new StringBuilder();
int tc = 0;
while (true) {
n = Integer.parseInt(br.readLine());
if (n == 0) break;
map = new int[n][n];
for (int i = 0; i < n; i++) {
StringTokenizer st = new StringTokenizer(br.readLine());
for (int j = 0; j < n; j++) {
map[i][j] = Integer.parseInt(st.nextToken());
}
}
sb.append("Problem ").append(++tc).append(": ").append(dijkstra()).append("\n");
}
System.out.print(sb.toString());
}
static int dijkstra() {
PriorityQueue<Node> pq = new PriorityQueue<>();
int[][] minCost = new int[n][n];
for (int[] row : minCost) {
Arrays.fill(row, Integer.MAX_VALUE);
}
pq.add(new Node(0, 0, map[0][0]));
minCost[0][0] = map[0][0];
while (!pq.isEmpty()) {
Node current = pq.poll();
int r = current.r;
int c = current.c;
int cost = current.cost;
if (r == n - 1 && c == n - 1) return cost;
for (int i = 0; i < 4; i++) {
int nr = r + dr[i];
int nc = c + dc[i];
if (nr >= 0 && nr < n && nc >= 0 && nc < n) {
int newCost = cost + map[nr][nc];
if (newCost < minCost[nr][nc]) {
minCost[nr][nc] = newCost;
pq.add(new Node(nr, nc, newCost));
}
}
}
}
return -1;
}
출처:https://www.acmicpc.net/problem/4485