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:]     # cut the first [H,W,N] for min_path matrix
    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])
    INF = 1000000
    min_path = [[INF] * field[0][1] for i in range(field[0][0])]
    min_path[start_y-1][start_x] = 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:
                print(min_path[current[1]-1][current[0]])
                min_path[ny-1][nx] = min_path[current[1]-1][current[0]] + 1
                if field[ny][nx] == gotten_cheese: # at the same cheese-power number
                    distance += min_path[ny-1][nx]
                    if field[ny][nx] == goal_N: # goal
                        print(distance)
                        return
                    else: # not goal, but could eat cheese
                        que = []
                        que.append([nx,ny])
                        gotten_cheese += 1
                        min_path = [[INF] * field[0][1] for i in range(field[0][0])]
                        min_path[ny-1][nx] = 0
                        break
                else:
                    que.append([nx,ny])


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

# field = [[10,10,9],
# [".","X",".",".",".","X",".","S",".","X"],
# [6,".",".",5,"X",".",".","X",1,"X"],
# [".",".",".","X","X","X","X",".",".","X"],
# ["X",".",".",9,"X",".",".",".","X","."],
# [8,".","X",2,"X",".",".","X",3,"X"],
# [".",".",".","X","X",".","X",4,".","."],
# ["X","X",".",".",".",".",7,"X",".","."],
# ["X",".",".","X",".",".","X","X",".","."],
# ["X",".",".",".","X",".","X","X",".","."],
# [".",".","X",".",".",".",".",".",".","."]]
#
# main(field)

matrix = []
while True:
    row = input().rstrip().split()
    if len(row) == 3:
        re_row = []
        for i in row:
            re_row.append(int(i))
        matrix.append(re_row)
    else:
        re_row = []
        for char in row[0]:
            if char.isdigit():
                re_row.append(int(char))
            else:
                re_row.append(char)
        matrix.append(re_row)
    if len(matrix) == int(matrix[0][0]) + 1:
        print(matrix)
        main(matrix)
        break

Python: def v():
 import sys
 from collections import deque
 H,W,N=map(int,input().split())
 e='X'*(W+2)
 M=e+''.join('X'+e[:-1]+'X'for e in sys.stdin)+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)
if'__main__'==__name__:v()

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)
if'__main__'==__name__:v()

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)