编写python程序，算出1-13的全部4个数字组合（允许重复）加减乘除能够算出24点的组合及对应的表达式，比如1234:1x2x3x4,用A、B、C、D表示10、11、12、13，用圆括号表示运算优先级。用最简的高效语句完成，无需注释。不做别的
fromitertoolsimportproduct,permutations,combinations_with_replacementfromfractionsimportFractiondefsolve_24():ops=['+','-','*','/']numbers=list(range(1,14))results=[]card_map={10:'A',11:'B',12:'C',13:'D'}fornumsincombinations_with_replacement(numbers,4):found=set()fora,b,c,dinset(permutations(nums)):forop1,op2,op3inproduct(ops,repeat=3):expressions=[f'(({a}{op1}{b}){op2}{c}){op3}{d}',f'({a}{op1}({b}{op2}{c})){op3}{d}',f'({a}{op1}{b}){op2}({c}{op3}{d})',f'{a}{op1}(({b}{op2}{c}){op3}{d})',f'{a}{op1}({b}{op2}({c}{op3}{d}))']forexprinexpressions:try:ifabs(eval(expr)-24)<1e-6:disp=exprfork,vincard_map.items():disp=disp.replace(str(k),v)found.add(disp)breakexceptZeroDivisionError:continueiffound:breakiffound:breakiffound:num_str=''.join(card_map.get(x,str(x))forxinnums)results.append(f'{num_str}:{",".join(found)}')returnresultsforlineinsolve_24():print(line)第一版用eval函数实现效率比较低，继续提示
要求不用eval函数实现，其他要求同上。
fromitertoolsimportproduct,permutations,combinations_with_replacementdefsolve_24():ops={'+':lambdax,y:x+y,'-':lambdax,y:x-y,'*':lambdax,y:x*y,'/':lambdax,y:x/yify!=0elseNone}numbers=list(range(1,14))results=[]card_map={10:'A',11:'B',12:'C',13:'D'}fornumsincombinations_with_replacement(numbers,4):found=set()fora,b,c,dinset(permutations(nums)):forop1,op2,op3inproduct(ops.keys(),repeat=3):f1,f2,f3=ops[op1],ops[op2],ops[op3]try:ifabs(f3(f2(f1(a,b),c),d)-24)<1e-6:expr=f'(({a}{op1}{b}){op2}{c}){op3}{d}'fork,vincard_map.items():expr=expr.replace(str(k),v)found.add(expr)elifabs(f3(f1(a,f2(b,c)),d)-24)<1e-6:expr=f'({a}{op1}({b}{op2}{c})){op3}{d}'fork,vincard_map.items():expr=expr.replace(str(k),v)found.add(expr)elifabs(f2(f1(a,b),f3(c,d))-24)<1e-6:expr=f'({a}{op1}{b}){op2}({c}{op3}{d})'fork,vincard_map.items():expr=expr.replace(str(k),v)found.add(expr)elifabs(f2(a,f3(f1(b,c),d))-24)<1e-6:expr=f'{a}{op1}(({b}{op2}{c}){op3}{d})'fork,vincard_map.items():expr=expr.replace(str(k),v)found.add(expr)elifabs(f1(a,f2(b,f3(c,d)))-24)<1e-6:expr=f'{a}{op1}({b}{op2}({c}{op3}{d}))'fork,vincard_map.items():expr=expr.replace(str(k),v)found.add(expr)except(TypeError,ZeroDivisionError):continueiffound:breakiffound:breakiffound:num_str=''.join(card_map.get(x,str(x))forxinnums)results.append(f'{num_str}:{",".join(found)}')returnresultsforlineinsolve_24():print(line)再测试Qwen
编写python程序，算出1-13的全部4个数字组合（允许重复）加减乘除能够算出24点的组合及对应的表达式，每行只要输出1个解，比如1234:1x2x3x4，用A、B、C、D表示10、11、12、13，用圆括号表示运算优先级。要求不用eval函数实现, 用最简的高效语句完成，无需注释。不做别的
第一版程序报错，
执行报错， File "C:\d\qw24.py", line 26, in solve r5 = calc(calc(a, calc(b, c, o1), o2), d, o3) File "C:\d\qw24.py", line 5, in calc if op == '+': return a + b ~~^~~ TypeError: unsupported operand type(s) for +: 'NoneType' and 'int'，请改正，不做别的。其他要求不变
fromitertoolsimportproduct,permutations ops=['+','-','*','/']nums=list(range(1,14))defcalc(a,b,op):ifaisNoneorbisNone:returnNoneifop=='+':returna+bifop=='-':returna-bifop=='*':returna*bifop=='/':returna/bifb!=0elseNonedeffmt(n):returnstr(n)ifn<10else'ABCD'[n-10]defsolve():forcomboinproduct(nums,repeat=4):forpinset(permutations(combo)):a,b,c,d=pforo1inops:foro2inops:foro3inops:r1=calc(calc(calc(a,b,o1),c,o2),d,o3)ifr1==24:print(f"{fmt(a)}{fmt(b)}{fmt(c)}{fmt(d)}:(({fmt(a)}{o1}{fmt(b)}){o2}{fmt(c)}){o3}{fmt(d)}");continuer2=calc(calc(a,b,o1),calc(c,d,o2),o3)ifr2==24:print(f"{fmt(a)}{fmt(b)}{fmt(c)}{fmt(d)}:({fmt(a)}{o1}{fmt(b)}){o3}({fmt(c)}{o2}{fmt(d)})");continuer3=calc(a,calc(b,calc(c,d,o2),o1),o3)ifr3==24:print(f"{fmt(a)}{fmt(b)}{fmt(c)}{fmt(d)}:{fmt(a)}{o3}({fmt(b)}{o1}({fmt(c)}{o2}{fmt(d)}))");continuer4=calc(a,calc(calc(b,c,o1),d,o2),o3)ifr4==24:print(f"{fmt(a)}{fmt(b)}{fmt(c)}{fmt(d)}:{fmt(a)}{o3}(({fmt(b)}{o1}{fmt(c)}){o2}{fmt(d)})");continuer5=calc(calc(a,calc(b,c,o1),o2),d,o3)ifr5==24:print(f"{fmt(a)}{fmt(b)}{fmt(c)}{fmt(d)}:({fmt(a)}{o2}({fmt(b)}{o1}{fmt(c)})){o3}{fmt(d)}");continuesolve()第二版算出了所有解，继续提示
每个4数字组合只要输出一个解，每个组合都按数字大小排序，比如13CD，注意将if r1 == 24改为if abs(r1 -24)<1e-6等，不做别的，其他要求不变，
最终程序如下
fromitertoolsimportcombinations_with_replacement,permutations ops=['+','-','*','/']nums=list(range(1,14))defcalc(a,b,op):ifaisNoneorbisNone:returnNoneifop=='+':returna+bifop=='-':returna-bifop=='*':returna*bifop=='/':returna/bifb!=0elseNonedeffmt(n):returnstr(n)ifn<10else'ABCD'[n-10]defsolve():forcomboincombinations_with_replacement(nums,4):found=Falseforpinset(permutations(combo)):iffound:breaka,b,c,d=pforo1inops:iffound:breakforo2inops:iffound:breakforo3inops:r1=calc(calc(calc(a,b,o1),c,o2),d,o3)ifr1isnotNoneandabs(r1-24)<1e-6:print(f"{fmt(combo[0])}{fmt(combo[1])}{fmt(combo[2])}{fmt(combo[3])}:(({fmt(a)}{o1}{fmt(b)}){o2}{fmt(c)}){o3}{fmt(d)}")found=True;breakr2=calc(calc(a,b,o1),calc(c,d,o2),o3)ifr2isnotNoneandabs(r2-24)<1e-6:print(f"{fmt(combo[0])}{fmt(combo[1])}{fmt(combo[2])}{fmt(combo[3])}:({fmt(a)}{o1}{fmt(b)}){o3}({fmt(c)}{o2}{fmt(d)})")found=True;breakr3=calc(a,calc(b,calc(c,d,o2),o1),o3)ifr3isnotNoneandabs(r3-24)<1e-6:print(f"{fmt(combo[0])}{fmt(combo[1])}{fmt(combo[2])}{fmt(combo[3])}:{fmt(a)}{o3}({fmt(b)}{o1}({fmt(c)}{o2}{fmt(d)}))")found=True;breakr4=calc(a,calc(calc(b,c,o1),d,o2),o3)ifr4isnotNoneandabs(r4-24)<1e-6:print(f"{fmt(combo[0])}{fmt(combo[1])}{fmt(combo[2])}{fmt(combo[3])}:{fmt(a)}{o3}(({fmt(b)}{o1}{fmt(c)}){o2}{fmt(d)})")found=True;breakr5=calc(calc(a,calc(b,c,o1),o2),d,o3)ifr5isnotNoneandabs(r5-24)<1e-6:print(f"{fmt(combo[0])}{fmt(combo[1])}{fmt(combo[2])}{fmt(combo[3])}:({fmt(a)}{o2}({fmt(b)}{o1}{fmt(c)})){o3}{fmt(d)}")found=True;breaksolve()
