# Background

My pet bridge-maker ants are marching across a terrain from left to right.

If they encounter a gap, the first one stops and then next one climbs over him, then the next, and the next, until a bridge is formed across the gap. 

What clever little things they are!

Now all the other ants can walk over the ant-bridge.

When the last ant is across, the ant-bridge dismantles itself similar to how it was constructed.

This process repeats as many times as necessary (there may be more than one gap to cross) until all the ants reach the right hand side.

# Kata Task

My little ants are marching across the terrain from left-to-right in the order ```A``` then ```B``` then ```C```...

What order do they exit on the right hand side?

# Notes

* ```-``` = solid ground
* ```.``` = a gap
* The number of ants may differ but there are always enough ants to bridge the gaps
* The terrain never starts or ends with a gap
* Ants cannot pass other ants except by going over ant-bridges
* If there is ever ambiguity which ant should move, then the ant at the **back** moves first

# Example

## Input
* ants = ````GFEDCBA````
* terrain = ```------------...-----------```

## Output
* result = ```EDCBAGF```

## Details


Ants moving left to right.
GFEDCBA
------------...-----------

The first one arrives at a gap.
GFEDCB     A
------------...-----------

They start to bridge over the gap...
GFED       ABC
------------...-----------

...until the ant-bridge is completed!
GF         ABCDE
------------...-----------

And then the remaining ants can walk across the bridge.
               F
G          ABCDE
------------...-----------

And when no more ants need to cross...
           ABCDE        GF
------------...-----------

... the bridge dismantles itself one ant at a time....                
             CDE      BAGF
------------...-----------

...until all ants get to the other side                
                   EDCBAGF
------------...-----------

Difficulty: EASY
Starter code: def ant_bridge(ants, terrain):
	

Solutions:
import re

def ant_bridge(ants, terrain):
	nGap = sum((2 + len(gap) - (free == '-') for (free, gap) in re.findall('(-+)(\\.+)', '-' + terrain))) % len(ants)
	return ants[-nGap:] + ants[:-nGap]


def ant_bridge(ants, terrain):
	n_ants = len(ants)
	terrain = terrain.replace('-.', '..')
	terrain = terrain.replace('.-', '..')
	count = terrain.count('.') % n_ants
	return ants[-count:] + ants[:-count]


def ant_bridge(ants, s):
	(remain, i) = (list(ants), 0)
	while True:
		next_stop = next((k for (k, l) in enumerate(s[i:-1], i) if s[k + 1] == '.'), None)
		if next_stop is None:
			return ''.join(remain)
		if next_stop != i or not i:
			remain.insert(0, remain.pop())
		i = next_stop + 1
		while s[i] == '.':
			remain.insert(0, remain.pop())
			i += 1
		remain.insert(0, remain.pop())


def find_next_bridge_end(position, terrain):
	next_bridge_end_position = ''.join(terrain[position:]).find('---')
	if next_bridge_end_position == -1:
		return len(terrain) + 1
	return next_bridge_end_position + position

def check_if_bridge_position(i, terrain):
	if i == 0:
		previous_terrain = '-'
		next_terrain = terrain[i + 1]
	elif i >= len(terrain) - 1:
		previous_terrain = terrain[i - 1]
		next_terrain = '-'
	else:
		previous_terrain = terrain[i - 1]
		next_terrain = terrain[i + 1]
	if previous_terrain == '-' and terrain[i] == '-' and (next_terrain == '-'):
		return False
	return True

def create_terrain_with_ants(ant_positions, terrain):
	terrain_with_ants = terrain[:]
	for (ant, position) in list(ant_positions.items()):
		terrain_with_ants[position] = ant
	return ''.join(terrain_with_ants)

def ant_bridge(ants, terrain):
	platform = ''.join(['-' for _ in range(len(ants))])
	terrain = platform + terrain + platform
	terrain = list(terrain)
	terrain_length = len(terrain)
	ant_positions = list(range(len(ants)))
	print(ants)
	print(''.join(terrain))
	initial_states = []
	if len(ants) >= len(terrain):
		return ants
	for i in range(len(ants)):
		if i <= 0:
			previous_terrain = '-'
			current_terrain = terrain[i]
			next_terrain = terrain[i + 1]
		elif i >= len(terrain) - 1:
			previous_terrain = terrain[i - 1]
			current_terrain = terrain[i]
			next_terrain = '-'
		else:
			previous_terrain = terrain[i - 1]
			current_terrain = terrain[i]
			next_terrain = terrain[i + 1]
		if not previous_terrain == '.' and current_terrain == '-' and (not next_terrain == '.'):
			initial_states.append('')
		else:
			initial_states.append('b')
	ant_states = dict(list(zip(ants, initial_states)))
	ant_positions = dict(list(zip(ants[::-1], list(range(len(ants) - 1, -1, -1)))))
	for k in range(len(ants), terrain_length):
		max_ant_position = max(ant_positions.values())
		min_ant_position = min(ant_positions.values())
		for ant in ants:
			i = ant_positions[ant]
			s = ant_states[ant]
			is_end_of_terrain_reached = i >= len(terrain) - 2
			if is_end_of_terrain_reached:
				terrain = terrain + ['-', '-']
			if terrain[i] == '-' and terrain[i + 1] == '-' and (terrain[i + 2] == '-') and (s == ''):
				ant_positions[ant] = i + 1
				ant_states[ant] = ''
			if terrain[i] == '-' and terrain[i + 1] == '-' and (terrain[i + 2] == '.') and (s == '') and (i == max_ant_position):
				ant_positions[ant] = i + 1
				ant_states[ant] = 'b'
			if terrain[i] == '-' and terrain[i + 1] == '-' and (terrain[i + 2] == '.') and (s == '') and (not i == max_ant_position):
				next_bridge_end = find_next_bridge_end(i, terrain)
				if next_bridge_end < max_ant_position:
					ant_positions[ant] = next_bridge_end + 1
				else:
					ant_positions[ant] = max_ant_position + 1
				ant_states[ant] = ''
				if check_if_bridge_position(ant_positions[ant], terrain):
					ant_states[ant] = 'b'
			if s == 'b' and i == min_ant_position:
				next_bridge_end = find_next_bridge_end(i, terrain)
				if next_bridge_end < max_ant_position:
					ant_positions[ant] = next_bridge_end + 1
				else:
					ant_positions[ant] = max_ant_position + 1
				ant_states[ant] = ''
				if check_if_bridge_position(ant_positions[ant], terrain):
					ant_states[ant] = 'b'
			if is_end_of_terrain_reached:
				terrain = terrain[:len(terrain) - 2]
	return ''.join(sorted(ant_positions, key=ant_positions.get))


from queue import deque

def ant_bridge(ants, terrain):
	terrains = '-' + terrain + '-'
	marching_ants = deque(([ant, -len(ants) + count + 1] for (count, ant) in enumerate(ants)))
	print(marching_ants)
	bridge_ants = deque()
	for pos in range(1, len(terrains) - 1):
		if '.' in terrains[pos - 1:pos + 2]:
			leading_ant = marching_ants.pop()
			leading_ant[1] = pos
			bridge_ants.append(leading_ant)
			march_forward(marching_ants, bridge_ants)
		else:
			march_forward(marching_ants, bridge_ants)
	while len(bridge_ants) > 0:
		march_forward(marching_ants, bridge_ants)
	return ''.join((ant[0] for ant in marching_ants))

def march_forward(marching_ants, bridge_ants):
	print(marching_ants, bridge_ants)
	for ant in marching_ants:
		ant[1] += 1
	if len(marching_ants) == 0 or (len(bridge_ants) > 0 and bridge_ants[0][1] < marching_ants[0][1]):
		marching_ants.appendleft(bridge_ants.popleft())


def ant_bridge(ants, terrain):
	q = [c for c in ants]
	terrain = [c for c in terrain] + ['-']
	for i in range(len(terrain) - 1):
		if terrain[i] == '-' and terrain[i + 1] == '.':
			terrain[i] = q.pop()
			q.insert(0, terrain[i])
		elif terrain[i] == '.':
			terrain[i] = q.pop()
			q.insert(0, terrain[i])
			if terrain[i + 1] == '-':
				terrain[i + 1] = q.pop()
				q.insert(0, terrain[i + 1])
	rest = ''.join(q)
	return rest


def ant_bridge(ants, terrain):
	b = 0
	for (i, c) in enumerate(terrain):
		if c == '.':
			b += 1
		elif b:
			b = b + (1 if terrain[i - 2 - b] == '.' else 2)
			(ants, b) = (ants[-b:] + ants[:-b], 0)
	return ants


ant_bridge = lambda w, s: (lambda n: w[n:] + w[:n])(-len(''.join(__import__('re').findall('(?:-\\.+)+-', s))) % len(w))


def ant_bridge(ants, terrain):
	n = terrain.replace('-.', '..').replace('.-', '..').count('.') % len(ants)
	return ants[-n:] + ants[:-n]


def ant_bridge(a, t):
	t = t.replace('-.', '..').replace('.-', '..').strip('-')
	(A, B) = (list(a), [])
	while t:
		t = t.lstrip('-')[1:]
		B += [A.pop() if A else B.pop(0)]
	return ''.join(B[::-1] + A)