螺旋数字的python实现

螺旋数字的算法简单实现。

示例 5

01 02 03 04 05

16 17 18 19 06

15 24 25 20 07

14 23 22 21 08

13 12 11 10 09

通过观察，外部数字进行环绕一圈后向内收拢。





从程序出发，只要递归处理好4条边即可。





同时为了避免顶点重复赋值，最后一个点让后续的边处理。

说明：处理暂时存储在一个list对象中。

实现代码：

def getlocIndex(l_x,l_y,steps):
return l_x  + l_y*steps

def increaseSeedAndSteps(curSeed,cur_steps):
return (curSeed +1,cur_steps+1)

def setTargetItem(targetlst,l_cur_x,l_cur_y,steps,curSeed):
loc_index = getlocIndex(l_cur_x, l_cur_y, steps)
targetlst[loc_index] = curSeed

def calc(targetlst,seed,l_x,l_y,nextsteps,steps):

current_seed = seed
loop_steps = nextsteps-1

if( nextsteps < 1 ):
setTargetItem(targetlst, l_x, l_y,steps, current_seed)
return

each_steps = 0
while(each_steps <= loop_steps):
setTargetItem(targetlst, l_x+each_steps, l_y,steps, current_seed)
current_seed,each_steps = increaseSeedAndSteps(current_seed ,each_steps)

each_steps = 0
while(each_steps <= loop_steps):
setTargetItem(targetlst, l_x+nextsteps, (l_y+each_steps), steps, current_seed)
current_seed,each_steps = increaseSeedAndSteps(current_seed ,each_steps)

each_steps = 0
while(each_steps <= loop_steps):
setTargetItem(targetlst, l_x+nextsteps-each_steps, l_y+nextsteps, steps, current_seed)
current_seed,each_steps = increaseSeedAndSteps(current_seed ,each_steps)

each_steps = 0
while(each_steps <= loop_steps):
setTargetItem(targetlst, l_x, l_y+nextsteps-each_steps, steps, current_seed)
current_seed,each_steps = increaseSeedAndSteps(current_seed ,each_steps)

if(nextsteps-2 >= 0):
calc(targetlst,current_seed,l_x+1,l_y+1,nextsteps-2,steps)

　　

测试代码：

def outputResult(targetlst,steps):
outBuffer = ''
for rowIndex in range(0, steps* steps):
if(rowIndex % steps == 0 and len(outBuffer) >0):
print('%s\n' % (outBuffer))
outBuffer = ''
outBuffer = outBuffer + '%02d ' %(targetlst[rowIndex])
print('%s\n' % (outBuffer))

import traceback
try:
steps =5

targetlst = list()
[ targetlst.append(0) for nTry in range(0,steps* steps)]

calc(targetlst, 1,0,0,steps-1,steps)
outputResult(targetlst, steps)

except Exception as exc:
print("app catch: %s\n" % ( exc));
info = traceback.format_exc()
print(info)
print("done")