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: 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):
			ny = y + move_y[i]
			nx = x + move_x[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: # -*- coding: utf-8 -*-

def get_shortest_distance(field,locations,current_HP):
	is_visit = [[False for _ in range(len(field[0]))] for __ in range(len(field))]
	frontier = list([locations[current_HP-1]])
	for step in range(len(field)*len(field[0])):
		next_frontier = set()
		for cx,cy in frontier:
			for dx,dy in [[0,1],[0,-1],[1,0],[-1,0]]:
				nx, ny = cx+dx, cy+dy
				if (nx,ny)==locations[current_HP]: return step+1
				if not (0<=nx<len(field)):		continue
				if not (0<=ny<len(field[nx])):	continue
				if field[nx][ny]=='X':			continue
				if is_visit[nx][ny]: 			continue
				next_frontier.add((nx,ny))
				is_visit[nx][ny] = True
		frontier = next_frontier

def solve(field,locations):
	total_step=0
	for current_HP in range(1,len(locations)):
		total_step += get_shortest_distance(field,locations,current_HP)
	return total_step

def main():
	line=input().strip()
	H,W,N=list(map(int,line.split(' ')))
	field,locations=list(),dict()
	for i in range(H):
		field.append(list(input().strip()))
		for j,x in enumerate(field[-1]):
			if x=='S':
				locations[0] = (i,j,)
			if x.isdigit():
				x = int(x)
				field[-1][j] = x
				locations[x] = (i,j,)
	print(solve(field,locations))

if __name__=='__main__':
	main()

Python: def bfs(field,H,W,start_x,start_y,tmp_N):
    direction = [[-1,0],[1,0],[0,-1],[0,1]]
    que = []
    que.append([start_x,start_y])
    INF = 1000000
    min_path = [[INF] * W for i in range(H)]
    min_path[start_y][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 < W and 0 <= ny < H and field[ny][nx] != "X" and min_path[ny][nx] == INF:
                min_path[ny][nx] = min_path[current[1]][current[0]] + 1
                if field[ny][nx] == tmp_N:
                    return nx,ny,min_path[ny][nx]
                else:
                    que.append([nx,ny])

def getField():
    matrix = []
    first = input().strip()
    H,W,N = map(int,first.split())
    for i in range(H):
        row = list(input().strip())
        for j in range(W):
            if row[j].isdigit():
                row[j] = int(row[j])
        matrix.append(row)
    return matrix,H,W,N

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

def main():
    matrix,H,W,N = getField()
    sx,sy = getStart(matrix)
    distance = 0
    for k in range(N):
        if k != 0:
            tmp_x,tmp_y,tmp_dist = bfs(matrix,H,W,tmps[0],tmps[1],k+1)
            distance += tmp_dist
            tmps = [tmp_x,tmp_y]
        else:
            tmp_x,tmp_y,tmp_dist = bfs(matrix,H,W,sx,sy,k+1)
            distance += tmp_dist
            tmps = [tmp_x,tmp_y]
    print(distance)

if __name__=='__main__':
    main()

Python: # directions
x_dir = [0, 1, 0, -1]
y_dir = [1, 0, -1, 0]

# map info
visited = []
maps = []

# bfs algorithm
def bfs(h, w, cheese, sx, sy, moves):
    que = [(moves, sx, sy)]

    for i in range(h):
        for j in range(w):
            visited[i][j] = (maps[i][j] != 'X')

    visited[sy][sx] = False

    while len(que) > 0:
        c_moves, c_x, c_y = que.pop(0)
        if maps[c_y][c_x] == cheese:
            return (c_moves, c_x, c_y)

        for i in range(4):
            n_x = c_x + x_dir[i]
            n_y = c_y + y_dir[i]

            if(0 <= n_x < w and 0 <= n_y < h and visited[n_y][n_x]):
                que.append((c_moves+1, n_x, n_y))
                visited[n_y][n_x] = False

    return (-1, -1, -1)


# main function
if __name__ == '__main__':
    str = (input()).split()

    H = int(str[0])
    W = int(str[1])
    N = int(str[2])

    visited = [[True for i in range(W)] for j in range(H)]
    maps = ["" for i in range(H)]

    x, y = 0, 0
    for i in range(H):
        maps[i] = input()
        for j in range(W):
            if maps[i][j] == 'S':
                x, y = j, i

    moves = 0
    for i in range(1, N+1, 1):
        moves, x, y = bfs(H, W, str(i), x, y, moves)

    print(str(moves))