算法
使用1-9这9个数字，分为3组，每组是一个三位数,确保其中两组的和等于另一组。要求：这三组数每位都不能重复，并且这三组数一共九个数字全部用到1-9，例如：
124+ 659 = 783
用一种你熟悉的语言实现
[解决办法]
python
from itertools import permutations
all_num = range(1,10)
result = []
for comb in permutations(all_num):
nums = [reduce(lambda x,y: x*10+y,comb[i:i+3],0) for i in range(0,len(comb),3)]
if nums[0]+nums[1]==nums[2]:
result.append(str(nums[0])+'+'+str(nums[1])+'='+str(nums[2]))
print '\n'.join(result)
print 'total:',len(result)
>>> ================================ RESTART ================================
>>>
124+659=783
125+739=864
127+359=486
127+368=495
128+367=495
128+439=567
129+357=486
129+438=567
129+654=783
129+735=864
134+658=792
135+729=864
138+429=567
138+654=792
139+428=567
139+725=864
142+596=738
142+695=837
143+586=729
145+692=837
146+583=729
146+592=738
152+487=639
152+784=936
154+629=783
154+638=792
154+782=936
157+329=486
157+482=639
158+634=792
159+327=486
159+624=783
162+387=549
162+783=945
163+782=945
167+328=495
167+382=549
168+327=495
173+286=459
173+295=468
175+293=468
176+283=459
182+367=549
182+394=576
182+457=639
182+493=675
182+754=936
182+763=945
183+276=459
183+492=675
183+546=729
183+762=945
184+392=576
184+752=936
186+273=459
186+543=729
187+362=549
187+452=639
192+384=576
192+483=675
192+546=738
192+645=837
193+275=468
193+482=675
194+382=576
195+273=468
195+642=837
196+542=738
214+569=783
214+659=873
215+478=693
215+748=963
216+378=594
216+738=954
218+349=567
218+376=594
218+439=657
218+475=693
218+736=954
218+745=963
219+348=567
219+438=657
219+564=783
219+654=873
234+657=891
235+746=981
236+718=954
236+745=981
237+654=891
238+419=657
238+716=954
239+418=657
241+596=837
243+576=819
243+675=918
245+673=918
245+718=963
245+736=981
246+573=819
246+591=837
246+735=981
248+319=567
248+715=963
249+318=567
251+397=648
254+619=873
254+637=891
257+391=648
257+634=891
259+614=873
264+519=783
269+514=783
271+593=864
271+683=954
273+186=459
273+195=468
273+546=819
273+591=864
273+645=918
273+681=954
275+193=468
275+418=693
275+643=918
276+183=459
276+318=594
276+543=819
278+316=594
278+415=693
281+394=675
281+673=954
283+176=459
283+671=954
284+391=675
286+173=459
291+357=648
291+384=675
291+546=837
291+573=864
293+175=468
293+571=864
294+381=675
295+173=468
296+541=837
297+351=648
314+658=972
316+278=594
317+529=846
317+628=945
318+249=567
318+276=594
318+627=945
318+654=972
319+248=567
319+527=846
324+567=891
324+657=981
327+159=486
327+168=495
327+519=846
327+564=891
327+618=945
327+654=981
328+167=495
328+617=945
329+157=486
329+517=846
341+586=927
342+576=918
346+572=918
346+581=927
348+219=567
349+218=567
351+297=648
352+467=819
354+618=972
354+627=981
357+129=486
357+291=648
357+462=819
357+624=981
358+614=972
359+127=486
362+187=549
362+457=819
364+527=891
367+128=495
367+182=549
367+452=819
367+524=891
368+127=495
372+546=918
376+218=594
376+542=918
378+216=594
381+294=675
381+546=927
382+167=549
382+194=576
384+192=576
384+291=675
386+541=927
387+162=549
391+257=648
391+284=675
392+184=576
394+182=576
394+281=675
397+251=648
415+278=693
418+239=657
418+275=693
419+238=657
428+139=567
429+138=567
438+129=567
438+219=657
439+128=567
439+218=657
452+187=639
452+367=819
457+182=639
457+362=819
462+357=819
467+352=819
475+218=693
478+215=693
482+157=639
482+193=675
483+192=675
487+152=639
492+183=675
493+182=675
514+269=783
517+329=846
519+264=783
519+327=846
524+367=891
527+319=846
527+364=891
529+317=846
541+296=837
541+386=927
542+196=738
542+376=918
543+186=729
543+276=819
546+183=729
546+192=738
546+273=819
546+291=837
546+372=918
546+381=927
564+219=783
564+327=891
567+324=891
569+214=783
571+293=864
572+346=918
573+246=819
573+291=864
576+243=819
576+342=918
581+346=927
583+146=729
586+143=729
586+341=927
591+246=837
591+273=864
592+146=738
593+271=864
596+142=738
596+241=837
614+259=873
614+358=972
617+328=945
618+327=945
618+354=972
619+254=873
624+159=783
624+357=981
627+318=945
627+354=981
628+317=945
629+154=783
634+158=792
634+257=891
637+254=891
638+154=792
642+195=837
643+275=918
645+192=837
645+273=918
654+129=783
654+138=792
654+219=873
654+237=891
654+318=972
654+327=981
657+234=891
657+324=981
658+134=792
658+314=972
659+124=783
659+214=873
671+283=954
673+245=918
673+281=954
675+243=918
681+273=954
683+271=954
692+145=837
695+142=837
715+248=963
716+238=954
718+236=954
718+245=963
725+139=864
729+135=864
735+129=864
735+246=981
736+218=954
736+245=981
738+216=954
739+125=864
745+218=963
745+236=981
746+235=981
748+215=963
752+184=936
754+182=936
762+183=945
763+182=945
782+154=936
782+163=945
783+162=945
784+152=936
total: 336
>>>
