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#!/usr/bin/env python
# Challenge 101
#
# TASK #1 > Pack a Spiral
# Submitted by: Stuart Little
#
# You are given an array @A of items (integers say, but they can be anything).
#
# Your task is to pack that array into an MxN matrix spirally counterclockwise,
# as tightly as possible.
#
# 'Tightly' means the absolute value |M-N| of the difference has to be as small
# as possible.
import sys
import math
def spiral(numbers):
# find max width of elements, convert to int
def max_width(numbers):
num_width = 1
for i in range(0, len(numbers)):
if len(numbers[i]) < num_width:
num_width = len(numbers[i])
numbers[i] = int(numbers[i])
return num_width
# find out m,n
def smallest_rect(n):
l, h = 1, n
for i in range(1, int(math.sqrt(n)+1)):
if ((n % i) == 0):
l, h = i, int(n / i)
return l, h
# build empty rectangle
rect = []
def build_rect(numbers):
m, n = smallest_rect(len(numbers))
for r in range (0, m+1):
rect.append(["" for c in range(0, n+1)])
return m, n
# build spiral rectangle
num_width = max_width(numbers)
m, n = build_rect(numbers)
r, c = m, 1
i = 0
while (i < len(numbers)):
# go East
while (c <= n):
if (rect[r][c] != ""):
break
rect[r][c] = ("{:"+str(num_width+1)+"d}").format(numbers[i])
i += 1
c += 1
c -= 1
r -= 1
# go North
while (r >= 1):
if (rect[r][c] != ""):
break
rect[r][c] = ("{:"+str(num_width+1)+"d}").format(numbers[i])
i += 1
r -= 1
r += 1
c -= 1
# go West
while (c >= 1):
if (rect[r][c] != ""):
break
rect[r][c] = ("{:"+str(num_width+1)+"d}").format(numbers[i])
i += 1
c -= 1
c += 1
r += 1
# go South
while (r <= m):
if (rect[r][c] != ""):
break
rect[r][c] = ("{:"+str(num_width+1)+"d}").format(numbers[i])
i += 1
r += 1
r -= 1
c += 1
for r in range (1, m+1):
output = ""
for c in range (1, n+1):
output += rect[r][c]
print(output)
# main
numbers = sys.argv[1:]
spiral(numbers)
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