data = []
for line in open("input"):
    data.append(line.strip())

import sys, os; sys.path.append(os.path.join(os.path.dirname(__file__), "../lib"))
import astar


#print(*data, sep="\n")

blizzards = {'>': {}, '<': {}, '^': {}, 'v': {}}
for y in range(len(data)):
    for x in range(len(data[y])):
        c = data[y][x]
        if c in blizzards:
            blizzards[c][x,y] = 1

def show(t):
    H = len(data)-2
    for y in range(len(data)):
        s = []
        W = len(data[y])-2
        for x in range(len(data[y])):
            c = data[y][x]
            if c == '#':
                s.append(c)
            else:
                bliz = []
                u = 1 + ((x - t)-1)%W
                if (u,y) in blizzards['>']:
                    bliz.append('>')

                u = 1 + ((x + t)-1)%W
                if (u,y) in blizzards['<']:
                    bliz.append('<')

                v = 1 + ((y - t)-1)%H
                if (x,v) in blizzards['v']:
                    bliz.append('v')

                v = 1 + ((y + t)-1)%H
                if (x,v) in blizzards['^']:
                    bliz.append('^')

                if len(bliz) == 0:
                    s.append('.')
                elif len(bliz) == 1:
                    s.append(bliz[0])
                elif len(bliz) < 10:
                    s.append(str(len(bliz)))
                else:
                    s.append('*')
            
        print(''.join(s))

def blocked(x,y,t):
    if not 0 <= y < len(data):
        return True
    if not 0 <= x < len(data[y]):
        return True
    if data[y][x] == '#':
        return True

    H = len(data)-2
    W = len(data[y])-2

    u = 1 + ((x - t)-1)%W
    if (u,y) in blizzards['>']:
        return True

    u = 1 + ((x + t)-1)%W
    if (u,y) in blizzards['<']:
        return True

    v = 1 + ((y - t)-1)%H
    if (x,v) in blizzards['v']:
        return True

    v = 1 + ((y + t)-1)%H
    if (x,v) in blizzards['^']:
        return True

    return False

start = (data[0].index('.'), 0)
end = (data[-1].index('.'), len(data)-1)
leg_distance = abs(start[0] - end[0]) + abs(start[1] - end[1])

def is_goal(node, goal=end):
    x, y, t = node
    return (x,y) == goal

def heuristic(node, goal=end):
    x, y, t = node
    return abs(goal[0] - x) + abs(goal[1] - y)

def neighbors(node):
    x, y, t = node
    n = []
    def check(dx,dy):
        if not blocked(x+dx,y+dy,t+1):
            n.append((1, (x+dx, y+dy, t+1)))
    check(+1,0)
    check(0,+1)
    check(-1,0)
    check(0,-1)
    check(0,0)
    return n

show(0)
show(1)
#show((len(data)-2)*(len(data[0])-2))

from functools import partial
import time
t0 = time.time()

# part 1
d1 = astar.search(start+(0,), is_goal, neighbors, heuristic)[0]

t1 = time.time()

# part 2
# we can always take the best path for each leg,
# rather than trying to compute it over the whole trip.
# suppose there is a better overall path B = d1' + d2 + d3
# with d1' > d1. we can "sync up" with this path by simply
# waiting at the end square for d1'-d1 steps at the beginning
# of the next leg. (A* will check this possibility for us.)
# (the start and end squares are never blocked by blizzards.)
# therefore even if we can complete later legs faster by
# starting later, there is no downside to taking the shortest
# path for all the previous legs.
is_start = partial(is_goal, goal=start)
heuristic2 = partial(heuristic, goal=start)
d2 = astar.search(end+(d1,),      is_start, neighbors, heuristic2)[0]
d3 = astar.search(start+(d1+d2,), is_goal, neighbors, heuristic)[0]

t2 = time.time()

print("part 1", d1, t1 - t0)
print("part 2", d1+d2+d3, t2 - t0, "(%+f)"%(t2-t1))