# 보급로 - SWEA
from collections import deque
dx = [0, 0, -1, 1]
dy = [-1, 1, 0, 0]
T = int(input())
for test_case in range(1, T + 1):
N = int(input())
board = [list(map(int, input())) for _ in range(N)]
visit = [[-1] * N for _ in range(N)]
q = deque()
q.append((0, 0))
visit[0][0] = board[0][0]
while q:
y, x = q.popleft()
if y == N - 1 and x == N - 1:
continue
cur = visit[y][x]
for i in range(4):
ny = y + dy[i]
nx = x + dx[i]
if nx < 0 or ny < 0 or nx >= N or ny >= N:
continue
if visit[ny][nx] == -1 or cur + board[ny][nx] < visit[ny][nx]:
visit[ny][nx] = cur + board[ny][nx]
q.append((ny, nx))
print("#" + str(test_case) + " " + str(visit[N-1][N-1]))