Go: ///
// File:  0558.go
// Author: ymiyamoto
//
// Created on Sun Mar  4 20:58:45 2018
//
package main

import (
	"fmt"
	"strconv"
	"strings"
)

type pos struct {
	x, y int
}

var H, W, N int
var graph [][]string

func wfs(p pos, index int) (int, pos) {
	var q []pos
	dists := make([][]int, H)
	for i := range dists {
		dists[i] = make([]int, W)
	}

	q = append(q, p)
	for len(q) > 0 {
		p := q[0]
		dist := dists[p.x][p.y]
		q = q[1:]

		for _, d := range []pos{{-1, 0}, {1, 0}, {0, -1}, {0, 1}} {
			x := p.x + d.x
			y := p.y + d.y
			if 0 <= x && x < H && 0 <= y && y < W && graph[x][y] != "X" && dists[x][y] == 0 {
				dists[x][y] = dist + 1
				q = append(q, pos{x, y})
			}
		}
	}

	for i := range graph {
		for j := range graph[i] {
			if graph[i][j] == strconv.Itoa(index) {
				return dists[i][j], pos{i, j}
			}
		}
	}

	panic("not found")
}

func main() {
	fmt.Scan(&H, &W, &N)

	var start pos

	graph = make([][]string, H)
	for i := range graph {
		var s string
		fmt.Scan(&s)
		graph[i] = strings.Split(s, "")
		for j := range graph[i] {
			if graph[i][j] == "S" {
				start.x = i
				start.y = j
			}
		}
	}

	count := 0
	for i := 1; i <= N; i++ {
		c, s := wfs(start, i)
		start = s
		count += c
	}

	fmt.Println(count)
}

Python: 
def getStart(field):
    search_field = field[1:] 
    for y in range(len(search_field)):
        for x in range(len(search_field[0])):
            if search_field[y][x] == "S":
                return x,y+1


def bfs(field,start_x,start_y,goal_N):
    direction = [[-1,0],[1,0],[0,-1],[0,1]]
    gotten_cheese = 1
    distance = 0
    que = []
    que.append([start_x,start_y,gotten_cheese,distance])
    INF = 1
    min_path = [[INF for j in range(field[0][1])] for i in range(field[0][0])]
    while len(que) != 0:
        current = que.pop(0)
        for d in direction:
            nx = current[0] + d[0]
            ny = current[1] + d[1]
            if 0 <= nx < field[0][1] and 1 <= ny < field[0][0]+1 and field[ny][nx] != "X" and min_path[ny-1][nx] == INF:
                if field[ny][nx] == current[2]:
                    if field[ny][nx] == goal_N:
                        print(current[3]+1)
                        return
                    else: # not goal, but could eat cheese
                        que = []
                        que.append([nx,ny,current[2]+1,current[3]+1])
                        min_path = [[INF for j in range(field[0][1])] for i in range(field[0][0])]
                        break
                else:
                    que.append([nx,ny,current[2],current[3]+1])
                    min_path[ny-1][nx] = 0


def main(field):
    sx,sy = getStart(field)
    bfs(field,sx,sy,field[0][2])

field = []
while True:
    row = input().split()
    for i in row:
        try:
            int(i)
        except:
            continue
    field.append(row)
    if len(field) == int(field[0][0]) + 1:
        main(field)
        break

Python: from Queue import Queue
INF = 20000000
q = Queue()
dx = [-1, 0, 1, 0]
dy = [0, -1, 0, 1]
smp = [[INF for i in range(1002)] for j in range(1002)]
mp = [['X' for i in range(1002)] for j in range(1002)]
ipt = raw_input().split('\n')
H, W, n = map(int,ipt[0].split())
for i in range(1, H+1):
    for j in range(1, W+1):
        mp[i][j] = ipt[i][j-1];
x = y = 0
for i in range(1, H+1):
    for j in range(1, W+1):
        if mp[i][j]=='S':
            x = j; y = i;
c = 0; ans = 0;
q.put([x,y]); smp[y][x] = 0;
while c<n:
    p = q.get()
    x = p[0]; y = p[1];
    if mp[y][x]==chr(ord('1')+c):
        ans += smp[y][x]; c+=1;
        if c==n: break;
        while q.empty()==False: q.get()
        for i in range(1, H+1):
            for j in range(1, W+1):
                smp[i][j] = INF
        smp[y][x] = 0
    for i in range(4):
        if mp[y+dy[i]][x+dx[i]]!='X' and smp[y+dy[i]][x+dx[i]]==INF:
            q.put([x+dx[i], y+dy[i]]);
            smp[y+dy[i]][x+dx[i]] = smp[y][x]+1;
print(ans)

Python: import queue
h,w,n = map(int,input().split())
factrys = [None] * (n + 1)
ss = ["X" * (w + 2)]
for i in range(h):
  s = "X" + input() + "X"
  if "S" in s:
    factrys[0] = (i + 1, s.index("S"))
  for j in range(1,n + 1):
    if str(j) in s:
      factrys[j] = (i + 1, s.index(str(j)))
  ss.append(s)
ss.append("X" * (w + 2))
mp = []
que = queue.Queue()

def bfs(i):
  while True:
    (x,y) = que.get()
  #  print(i,x,y)
  #  print(mp[x][y])
    if (x,y) == factrys[i + 1]:
      return mp[x][y]
    count = mp[x][y]
    if ss[x + 1][y] != "X" and mp[x + 1][y] is None:
      mp[x + 1][y] = count + 1
      que.put((x + 1, y))
    if ss[x - 1][y] != "X" and mp[x - 1][y] is None:
      mp[x - 1][y] = count + 1
      que.put((x - 1, y))
    if ss[x][y + 1] != "X" and mp[x][y + 1] is None:
      mp[x][y + 1] = count + 1
      que.put((x, y + 1))
    if ss[x][y - 1] != "X" and mp[x][y - 1] is None:
      mp[x][y - 1] = count + 1
      que.put((x, y - 1))

ans = 0
for i in range(n):
  mp = [[None] * (w + 2) for j in range(h + 2)]
  x,y = factrys[i]
  que = queue.Queue()
  mp[x][y] = 0
  que.put((x,y))
  ret = bfs(i)
  if ret is None:
    ans += 0
  else:
    ans += (ret)
print(ans)

Python: h,w,n = map(int, input().split())
stage = [input() for i in range(h)]
starts = [str(i) for i in range(n)]
goals = [str(i+1) for i in range(n)]
starts_y = [0 for i in range(n)]
starts_x = [0 for i in range(n)]
goals_y = [0 for i in range(n)]
goals_x = [0 for i in range(n)]

starts[0] = "S"
for y in range(h):
	for x in range(w):
		if stage[y][x] in starts:
			starts_y[starts.index(stage[y][x])] = y
			starts_x[starts.index(stage[y][x])] = x
		if stage[y][x] in goals:
			goals_y[goals.index(stage[y][x])] = y
			goals_x[goals.index(stage[y][x])] = x


sum = 0

for start_y, start_x, goal_y, goal_x in zip(starts_y, starts_x, goals_y, goals_x):
	bfs_map = [[-1 for j in range(w)] for i in range(h)]
	data_y = [start_y]
	data_x = [start_x]
	bfs_map[start_y][start_x] = 0
	goal = False
	
	while len(data_y) != 0 and not goal:
		y = data_y.pop(0)
		x = data_x.pop(0)
		goal = False
	
		for i in range(4):
			ny = y + [0,1,0,-1][i]
			nx = x + [1,0,-1,0][i]
			
			if ny >= 0 and ny < h and nx >= 0 and nx < w:
				if bfs_map[ny][nx] == -1 and stage[ny][nx] != "X":
					bfs_map[ny][nx] = bfs_map[y][x]+1
					data_y.append(ny)
					data_x.append(nx)
			if bfs_map[goal_y][goal_x] != -1:
				sum += bfs_map[goal_y][goal_x]
				goal = True
				break

print(sum)

Python: from collections import deque, defaultdict

d = [[1, 0], [-1, 0], [0, 1], [0, -1]]

H, W, N = map(int, input().split())

G = []

sx = sy = 0
for i in range(H):
    G.append(input())
    for j, c in enumerate(G[i]):
        if c == 'S':
            sx, sy = i, j


Q = deque()
Q.append((sx, sy, 0))
visited = defaultdict(lambda: defaultdict(int))
visited[sx][sy] = 1

target = '1'

while len(Q):
    x, y, step = Q.popleft()
    if G[x][y] == target:
        visited.clear()
        Q.clear()
        target = str(int(target) + 1)
        if target == str(N + 1):
            print(step)
            break
    for dx, dy in d:
        nx, ny = x + dx, y + dy
        if 0 <= nx < H and 0 <= ny < W and G[nx][ny] != 'X':
            if not visited[nx][ny]:
                visited[nx][ny] = 1
                Q.append((nx, ny, step + 1))