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 v():
 from collections import deque
 H,W,N=map(int,input().split())
 e='X'*(W+2)
 M=e+''.join('X'+input()+'X'for _ in[0]*H)+e
 m=(1,-1,W+2,-W-2)
 def f(s,g):
  p,t=s,0
  q=deque()
  b=[1]*len(M);b[s]=0
  while 1:
   for d in m:
    n=p+d
    if'X'!=M[n]and b[n]:
     if M[n]==g:return(n,t+1)
     b[n]=0;q.append([n,t+1])
   p,t=q.popleft()
 s=M.find('S')
 a=0
 for i in range(1,N+1):
  s,t=f(s,str(i))
  a+=t
 print(a)
v()

Python: from collections import deque
h,w,n = map(int,input().split())
factrys = [None] * (n + 1)
ss = ["X" * (w + 2)]
append = ss.append
for i in range(h):
  s = "X" + input() + "X"
  if "S" in s:
    factrys[0] = (i + 1, s.index("S"))
  for j in range(len(s)):
    if s[j] != 'S' and s[j] != '.' and s[j] != 'X':
      factrys[int(s[j])] = (i + 1, j)
  append(s)
append("X" * (w + 2))

def bfs(i):
  mp = [[None] * (w + 2) for j in range(h + 2)]
  x,y = factrys[i]
  que = deque()
  append = que.append
  popleft = que.popleft
  append((x, y))
  for count in range(10000000):
    sz = len(que)
    for loop in range(sz):
      (x,y) = popleft()
      if ss[x][y] == 'X' or not mp[x][y] is None:
        continue
      if (x,y) == factrys[i + 1]:
        return count
      mp[x][y] = count
      append((x + 1, y))
      append((x - 1, y))
      append((x, y + 1))
      append((x, y - 1))

ans = 0
for i in range(n):
  ret = bfs(i)
  if ret is None:
    ans += 0
  else:
    ans += (ret)
print(ans)

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 range(len(row)):
        try:
            row[i] = int(row[i])
        except:
            pass
    field.append(row)
    if len(field) == int(field[0][0]) + 1:
        main(field)
        break

Python: from collections import deque

def solve(board, start, end, W, H):

    check = [[False for j in range(W + 2)] for i in range(H + 2)]
    q = deque()
    t = (start[0], start[1], 0)
    q.append(t)
    while True:
        p = q.popleft()
        x = p[0]
        y = p[1]
        g = p[2]
        if (x, y) == end:

            return g

        if check[y][x]:
            continue
        else:
            check[y][x] = True

        if not board[y - 1][x] == 'X':
            q.append((x, y - 1, g + 1))
        if not board[y + 1][x] == 'X':
            q.append((x, y + 1, g + 1))
        if not board[y][x - 1] == 'X':
            q.append((x - 1, y, g + 1))
        if not board[y][x + 1] == 'X':
            q.append((x + 1, y, g + 1))


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

    board = [['X' for j in range(W + 2)] for i in range(H + 2)]
    number = 'S123456789'
    place = [(0, 0)] * (N + 1)
    for i in range(H):
        s = input()
        for j in range(W):
            board[i + 1][j + 1] = s[j]
            if s[j] in number:
                place[number.index(s[j])] = (j + 1, i + 1)

    ans = 0
    for i in range(N):
        ans += solve(board, place[i], place[i + 1], W, H)

    print(ans)

if __name__ == '__main__':
    main()

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

move_y = [1,-1,0,0]
move_x = [0,0,1,-1]
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):
			y += move_y[i]
			x += move_x[i]
			
			if y >= 0 and y < h and x >= 0 and x < w:
				if bfs_map[y][x] == -1 and stage[y][x] != "x":
					bfs_map[y][x] = bfs_map[y-move_y[i]][x-move_x[i]]+1
					data_y.append(y)
					data_x.append(x)
			if bfs_map[goal_y][goal_x] != -1:
				sum += bfs_map[goal_y][goal_x]
				goal = True
				break

			y -= move_y[i]
			x -= move_x[i]
			
print(sum)