Problem:
Score : 700 points

Problem Statement

Snuke and Ciel went to a strange stationery store. Each of them got a transparent graph paper with H rows and W columns.

Snuke painted some of the cells red in his paper. Here, the cells painted red were 4-connected, that is, it was possible to traverse from any red cell to any other red cell, by moving to vertically or horizontally adjacent red cells only.

Ciel painted some of the cells blue in her paper. Here, the cells painted blue were 4-connected.

Afterwards, they precisely overlaid the two sheets in the same direction. Then, the intersection of the red cells and the blue cells appeared purple.

You are given a matrix of letters a_{ij} (1≤i≤H, 1≤j≤W) that describes the positions of the purple cells. If the cell at the i-th row and j-th column is purple, then a_{ij} is #, otherwise a_{ij} is .. Here, it is guaranteed that no outermost cell is purple. That is, if i=1, H or j = 1, W, then a_{ij} is ..

Find a pair of the set of the positions of the red cells and the blue cells that is consistent with the situation described. It can be shown that a solution always exists.

Constraints

3≤H,W≤500

a_{ij} is # or ..

If i=1,H or j=1,W, then a_{ij} is ..

At least one of a_{ij} is #.

Input

The input is given from Standard Input in the following format:

H W
a_{11}...a_{1W}
:
a_{H1}...a_{HW}

Output

Print a pair of the set of the positions of the red cells and the blue cells that is consistent with the situation, as follows:

The first H lines should describe the positions of the red cells.

The following 1 line should be empty.

The following H lines should describe the positions of the blue cells.

The description of the positions of the red or blue cells should follow the format of the description of the positions of the purple cells.

Sample Input 1

5 5
.....
.#.#.
.....
.#.#.
.....

Sample Output 1

.....
#####
#....
#####
.....

.###.
.#.#.
.#.#.
.#.#.
.....

One possible pair of the set of the positions of the red cells and the blue cells is as follows:

Sample Input 2

7 13
.............
.###.###.###.
.#.#.#...#...
.###.#...#...
.#.#.#.#.#...
.#.#.###.###.
.............

Sample Output 2

.............
.###########.
.###.###.###.
.###.###.###.
.###.###.###.
.###.###.###.
.............

.............
.###.###.###.
.#.#.#...#...
.###.#...#...
.#.#.#.#.#...
.#.#########.
.............

One possible pair of the set of the positions of the red cells and the blue cells is as follows:

Solution in Go (1.6) (judge verdict: Accepted)

package main

import (
	"fmt"
	"bufio"
	"os"
	"strconv"
)

const INF int = 1e9
const LINF int64 = 1e9
const MOD int = INF + 7

func main() {
	next := NewScanner()
	h, w := next.Int(), next.Int()
	s := make([][]byte, h)
	for i := 0; i < h; i++ {
		s[i] = next.Byte()
	}

	A, B := make([][]byte, h), make([][]byte, h)
	for i := 0; i < h; i++ {
		A[i], B[i] = make([]byte, w), make([]byte, w)

		for j := 0; j < w; j++ {
			A[i][j], B[i][j] = '.', '.'
		}
	}

	for i := 0; i < h; i++ {
		A[i][0], B[i][w - 1] = '#', '#'
	
		if i % 2 == 0 {
			for j := 0; j < w - 1; j++ {
				A[i][j] = '#'
			}
		} else {
			for j := 1; j < w; j++ {
				B[i][j] = '#'
			}
		}
	}

	for i := 0; i < h; i++ {
		for j := 0; j < w; j++ {
			if s[i][j] == '.' {
				continue
			}

			if j == 0 {
				B[i][j] = '#'
				continue
			}

			if j == w - 1 {
				A[i][j] = '#'
				continue
			}

			if i % 2 == 1 {
				A[i][j] = '#'
				continue
			}

			if i % 2 == 0 {
				B[i][j] = '#'
				continue
			}
		}
	}

	for _, v := range A {
		fmt.Println(string(v))
	}

	fmt.Println()

	for _, v := range B {
		fmt.Println(string(v))
	}
}

// Scanner
type scanner struct {
	r	*bufio.Reader
	buf []byte
	p	int
}

func NewScanner() *scanner {
	return &scanner{r: bufio.NewReaderSize(os.Stdin, 10000)}
}

func (s *scanner) next() string {
	s.pre()
	start := s.p

	for ; s.p < len(s.buf); s.p++ {
		if s.buf[s.p] == ' ' {
			break
		}
	}

	result := string(s.buf[start:s.p])
	s.p++
	return result
}

func (s *scanner) Line() string {
	s.pre()
	start := s.p
	s.p = len(s.buf)

	return string(s.buf[start:])
}

func (s *scanner) Int() int {
	v, _ := strconv.Atoi(s.next())
	return v
}

func (s *scanner) Int64() int64 {
	v, _ := strconv.ParseInt(s.next(), 10, 64)
	return v
}

func (s *scanner) Float() float32 {
	f, _ := strconv.ParseFloat(s.next(), 32)

	return float32(f)
}

func (s *scanner) Float64() float64 {
	f, _ := strconv.ParseFloat(s.next(), 64)

	return f
}

func (s *scanner) Bool() bool {
	b, _ := strconv.ParseBool(s.next())

	return b
}

func (s *scanner) String() string {
	return s.next()
}

func (s *scanner) Byte() []byte {
	return []byte(s.String())
}

func (s *scanner) pre() {
	if s.p >= len(s.buf) {
		s.readLine()
		s.p = 0
	}
}

func (s *scanner) readLine() {
	s.buf = make([]byte, 0)
	for {
		l, p, e := s.r.ReadLine()
		if e != nil {
			panic(e)
		}
		s.buf = append(s.buf, l...)
		if !p {
			break
		}
	}
}

// Functions
func Itob(i int) bool {
	if i == 0 {
		return false
	} else {
		return true
	}
}

func Btoi(f bool) int {
	if f {
		return 1
	} else {
		return 0
	}
}

func min(a ...int) int {
	ret := a[0]
	for _, e := range a {
		if e < ret {
			ret = e
		}
	}

	return ret
}

func max(a ...int) int {
	ret := a[0]
	for _, e := range a {
		if e > ret {
			ret = e
		}
	}

	return ret
}

func minInt64(a ...int64) int64 {
	ret := a[0]
	for _, e := range a {
		if e < ret {
			ret = e
		}
	}

	return ret
}

func maxInt64(a ...int64) int64 {
	ret := a[0]
	for _, e := range a {
		if e > ret {
			ret = e
		}
	}

	return ret
}

func minFloat(a ...float32) float32 {
	ret := a[0]
	for _, e := range a {
		if e < ret {
			ret = e
		}
	}

	return ret
}

func maxFloat(a ...float32) float32 {
	ret := a[0]
	for _, e := range a {
		if e > ret {
			ret = e
		}
	}

	return ret
}

func minFloat64(a ...float64) float64 {
	ret := a[0]
	for _, e := range a {
		if e < ret {
			ret = e
		}
	}

	return ret
}

func maxFloat64(a ...float64) float64 {
	ret := a[0]
	for _, e := range a {
		if e > ret {
			ret = e
		}
	}

	return ret
}

func minOther(comp Comparator, a ...interface{}) interface{} {
	ret := a[0]
	for _, e := range a {
		if comp(e, ret) {
			ret = e
		}
	}

	return ret
}

func maxOther(comp Comparator, a ...interface{}) interface{} {
	ret := a[0]
	for _, e := range a {
		if comp(ret, a) {
			ret = e
		}
	}

	return ret
}

func abs(a int) int {
	if a < 0 {
		return -a
	} else {
		return a
	}
}

func absInt64(a int64) int64 {
	if a < 0 {
		return -a
	} else {
		return a
	}
}

func absFloat(a float32) float32 {
	if a < 0 {
		return -a
	} else {
		return a
	}
}

func absFloat64(a float64) float64 {
	if a < 0 {
		return -a
	} else {
		return a
	}
}

func gcd(a, b int) int {
	if b > 0 {
		return gcd(b, a % b)
	} else {
		return a
	}
}

func lcm(a, b int) int {
	return a / gcd(a, b) * b
}

func gcdInt64(a, b int64) int64 {
	if b > 0 {
		return gcdInt64(b, a % b)
	} else {
		return a
	}
}

func lcmInt64(a, b int64) int64 {
	return a / gcdInt64(a, b) * b
}

func ModPow(x, n, mod int) int {
	ret := 1

	for ; n > 0; n /= 2 {
		if (n & 1) == 1 {
			ret = ret * x % mod
		}

		x = x * x % mod
	}

	return ret
}

func ModPowInt64(x, n, mod int64) int64 {
	var ret int64 = 1

	for ; n > 0; n /= 2 {
		if (n & 1) == 1 {
			ret = ret * x % mod
		}

		x = x * x % mod
	}

	return ret
}

func IntComp(a, b interface{}) bool {
	na := a.(int)
	nb := b.(int)

	return na < nb
}

func Int64Comp(a, b interface{}) bool {
	na := a.(int64)
	nb := b.(int64)

	return na < nb
}

func FloatComp(a, b interface{}) bool {
	na := a.(float32)
	nb := b.(float32)

	return na < nb
}

func Float64Comp(a, b interface{}) bool {
	na := a.(float64)
	nb := b.(float64)

	return na < nb
}

// Structs
type Merger func(a, b interface{}) interface{}
type Comparator func(a, b interface{}) bool

// Pair
type Pair struct {
	first, second int64
}

func Newpair() *Pair {
	return &Pair {
		first : 0,
		second : 0,
	}
}

func (p Pair) Less(q Pair) bool {
	if p.first < q.first {
		return true
	} else if p.first == q.first {
		return p.second < q.second
	} else {
		return false
	}
}

func (p Pair) String() string {
	return fmt.Sprint("(", p.first, ", ", p.second, ")")
}

func PairComp(p, q interface{}) bool {
	np := p.(Pair)
	nq := q.(Pair)

	return np.Less(nq)
}

type Pairs []Pair

func (p Pairs) Len() int {
	return len(p)
}

func (p Pairs) Less(i, j int) bool {
	return p[i].Less(p[j])
}

func (p Pairs) Swap(i, j int) {
	p[i], p[j] = p[j], p[i]
}

// Priority Queue
// push : Push the value to the priority queue.
// top  : Return the (Min / Max) value in the priority queue.
// pop  : Delete the (Min / Max) value in the priority queue.
// size : Return the number of values in the priority queue.
// empty : Return Is priority queue has the values.
type PriorityQueue struct {
	data	[]interface{}
	comp	Comparator
}

func NewPriorityQueue(comp Comparator) *PriorityQueue {
	return &PriorityQueue{make([]interface{}, 0), comp}
}

func (qu *PriorityQueue) push(x interface{}) {
	n := len(qu.data)
	qu.data = append(qu.data, x)

	for n != 0 {
		par := (n - 1) / 2
		
		if qu.comp(qu.data[par], qu.data[n]) {
			qu.data[par], qu.data[n] = qu.data[n], qu.data[par]
		}

		n = par
	}
}

func (qu *PriorityQueue) pop() {
	n := len(qu.data) - 1
	qu.data[0] = qu.data[n]
	qu.data = qu.data[:n]

	for i, j := 0, 1; j < n; {
		j = 2 * i + 1

		if (j != n - 1) && qu.comp(qu.data[j], qu.data[j + 1]) {
			j++
		}

		if qu.comp(qu.data[i], qu.data[j]) {
			qu.data[i], qu.data[j] = qu.data[j], qu.data[i]
		}

		i = j
	}
}

func (qu *PriorityQueue) top() interface{} {
	return qu.data[0]
}

func (qu *PriorityQueue) size() int {
	return len(qu.data)
}

func (qu *PriorityQueue) empty() bool {
	return len(qu.data) == 0
}

// Segment Tree
// update : Update k-th value of SegmentTree.data to x
// get	 : Get the merged value in range [a, b)
type SegmentTree struct {
	data	[]interface{}
	id		interface{}
	size	int
	merge	Merger
}

func NewSegmentTree(n int, id interface{}, merge Merger) *SegmentTree {
	sz := 1
	for sz < n {
		sz *= 2
	}

	data := make([]interface{}, sz * 2  - 1)
	for i := 0; i < sz * 2 - 1; i++ {
		data[i] = id
	}

	return &SegmentTree{data, id, sz, merge}
}

func (seg *SegmentTree) update(k int, x interface{}) {
	k += seg.size - 1;
	seg.data[k] = x

	for k > 0 {
		k = (k - 1) / 2

		seg.data[k] = seg.merge(seg.data[2 * k + 1], seg.data[2 * k + 2])
	}
}

func (seg *SegmentTree) get(a, b int) interface{} {
	return seg._get(a, b, 0, 0, seg.size)
}

func (seg *SegmentTree) _get(a, b, k, l, r int) interface{} {
	if b <= l || r <= a {
		return seg.id
	}

	if a <= l && r <= b {
		return seg.data[k]
	}

	L := seg._get(a, b, 2 * k + 1, l, (l + r) / 2)
	R := seg._get(a, b, 2 * k + 2, (l + r) / 2, r)
	return seg.merge(L, R)
}

func (seg *SegmentTree) String() string {
	return fmt.Sprint(seg.data[seg.size - 1:])
}

// Trie Node
// Node for Trie Tree
const (
	char_size = 26
	margin = 'a'
)

type TrieNode struct {
	nxt 	[char_size]int
	accept	[]int
	exist	int
}

func NewTrieNode() *TrieNode {
	var nxt  [char_size]int
	for i := 0; i < char_size; i++ {
		nxt[i] = -1
	}

	return &TrieNode{nxt, make([]int, 0), 0}
}

// Trie Tree
type TrieTree struct {
	nodes	[]TrieNode
	root	int
}

func NewTrieTree() *TrieTree {
	return &TrieTree{[]TrieNode{*NewTrieNode()}, 0}
}

func direct_action(node, id int) {
	//virtual function
}

func child_action(node, child, id int) {
	//virtual function
}

func (tree *TrieTree) update_direct(node, id int) {
	tree.nodes[node].accept = append(tree.nodes[node].accept, id)
	direct_action(node, id)
}

func (tree *TrieTree) update_child(node, child, id int) {
	tree.nodes[node].exist += 1
	child_action(node, child, id)
}

func (tree *TrieTree) add(str []byte, str_index, node_index, id int) {
	if str_index == len(str) {
		tree.update_direct(node_index, id)
	} else {
		c := int(str[str_index]) - int(margin)

		if tree.nodes[node_index].nxt[c] == -1 {
			tree.nodes[node_index].nxt[c] = len(tree.nodes)
			tree.nodes = append(tree.nodes, *NewTrieNode())
		}

		tree.add(str, str_index + 1, tree.nodes[node_index].nxt[c], id)
		tree.update_child(node_index, tree.nodes[node_index].nxt[c], id)
	}
}

func (tree *TrieTree) InsertWithId(str []byte, id int) {
	tree.add(str, 0, 0, id)
}

func (tree *TrieTree) Insert(str []byte) {
	tree.InsertWithId(str, tree.nodes[0].exist)
}

func (tree *TrieTree) size() int {
	return tree.nodes[0].exist
}

func (tree *TrieTree) nodesize() int {
	return len(tree.nodes)
}