使用Python创建24点题库和答案库
24点游戏的4个数并不是乱出的，它必须符合一定的条件才能计算得出24，否则题目无解。
本文使用Python编写一个生成24点题库，希望能枚举所有小于某个最大数以内的所有可能解。
代码如下：
# 24 point library creater
ops={'0'}
ops.discard('0')
op = ['+', '-', '*', '/']
for i in range(0,4):
for j in range(0,4):
for k in range(0,4):
ops.add('A' +op[i] +'B' +op[j] +'C'+ op[k]+ 'D')
for i in range(0,4):
for j in range(0,4):
for k in range(0,4):
ops.add('(A' +op[i] +'B)' +op[j] +'C'+ op[k]+ 'D')
for i in range(0,4):
for j in range(0,4):
for k in range(0,4):
ops.add('A' +op[i] +'(B' +op[j] +'C)'+ op[k]+ 'D')
for i in range(0,4):
for j in range(0,4):
for k in range(0,4):
ops.add('(A' +op[i] +'B)' +op[j] +'(C'+ op[k]+ 'D)')
for i in range(0,4):
for j in range(0,4):
for k in range(0,4):
ops.add('(A' +op[i] +'B' +op[j] +'C)'+ op[k]+ 'D')
for i in range(0,4):
for j in range(0,4):
for k in range(0,4):
ops.add('A' +op[i] +'(B' +op[j] +'C'+ op[k]+ 'D)')
for i in range(0,4):
for j in range(0,4):
for k in range(0,4):
ops.add('((A' +op[i] +'B)' +op[j] +'C)'+ op[k]+ 'D')
for i in range(0,4):
for j in range(0,4):
for k in range(0,4):
ops.add('(A' +op[i] +'(B' +op[j] +'C))'+ op[k]+ 'D')
for i in range(0,4):
for j in range(0,4):
for k in range(0,4):
ops.add('A' +op[i] +'(B' +op[j] +'(C'+ op[k]+ 'D))')
for i in range(0,4):
for j in range(0,4):
for k in range(0,4):
ops.add('A' +op[i] +'((B' +op[j] +'C)'+ op[k]+ 'D)')
pos={'0123'}
for i in range(0,4):
for j in range(0,4):
if j==i:
continue
for k in range(0,4):
if (k==i) or (k == j):
continue
for l in range(0,4):
if (l==i) or (l==j) or (l==k):
continue
pos.add(str(i)+str(j)+str(k)+str(l))
opsall={'0'}
opsall.discard('0')
Alpha='ABCD'
alpha='abcd'
for ipos in pos:
for iops in ops:
s = iops
for kk in range(0,4):
s = s.replace(Alpha[kk], alpha[int(ipos[kk])])
opsall.add(s)
numlib={''}
numlib.discard('')
reslib={''}
reslib.discard('')
count=0
maxnum = 13
filehandle = open("G:\out.txt", "a")
tcount=maxnum*maxnum*maxnum;
curcnt=0;
for a in range(1,maxnum+1):
for b in range(1,maxnum+1):
for c in range(1,maxnum+1):
curcnt=curcnt+1;
r = float(curcnt)*100/tcount;
print('step ('+str(curcnt) +'/' + str(tcount) + ', ' + '{:.2f}'.format(r) + '%) ' + str(a)+'.'+str(b)+'.'+str(c))
for d in range(1,maxnum+1):
for itemop in opsall:
try:
o=itemop
if o.find('/')>=0:
o=o.replace('a', 'AA')
o=o.replace('b', 'float(b)')
o=o.replace('c', 'float(c)')
o=o.replace('d', 'float(d)')
o=o.replace('AA', 'a')
res = eval(o)
if res==24:
arr=[a,b,c,d]
arr.sort()
num = ','.join(str(ii) for ii in arr)
s=itemop
s=s.replace('a', str(a))
s=s.replace('b', str(b))
s=s.replace('c', str(c))
s=s.replace('d', str(d))
if num not in numlib:
numlib.add(num)
xx=num + '; ' + s + ' = 24'
reslib.add(xx)
count=count+1
line=str(count)+": " + xx + "\n"
filehandle.write(line)
break
except:
continue
else:
continue
print('Found count: ' + str(count))
filehandle.close()
for x in reslib:
print(x)比如，当这个最大数为7时，输出结果如下，一共170种组合方式。
Found count: 170
1,3,4,6; 6/(1-3/4) = 24
2,2,5,7; 7*2+5*2 = 24
3,5,6,6; (3+6-5)*6 = 24
2,2,7,7; 2*(7-2+7) = 24
2,4,4,5; (5*2-4)*4 = 24
2,3,5,6; 3*2*5-6 = 24
2,2,3,3; (2+2)*(3+3) = 24
1,2,2,4; (2*4)*(1+2) = 24
1,2,3,5; (1+2)*(3+5) = 24
1,4,7,7; (7-4)*(1+7) = 24
3,3,3,4; (4+3)*3+3 = 24
2,3,7,7; (7+7*2)+3 = 24
1,1,6,6; 6*(6-1-1) = 24
5,6,6,6; 6*(5-6/6) = 24
1,1,3,5; (5+1)*(3+1) = 24
1,1,5,6; (5-1)*6*1 = 24
1,2,4,6; (4-1)*(6+2) = 24
3,4,5,7; (5+7)+4*3 = 24
4,4,4,5; (4/4+5)*4 = 24
4,7,7,7; (7-7/7)*4 = 24
1,4,4,4; (4+1)*4+4 = 24
2,2,3,4; 3*(2*2+4) = 24
4,5,6,6; (6-5)*6*4 = 24
2,2,6,7; (7+2)*2+6 = 24
2,2,2,7; (7*2-2)*2 = 24
5,6,6,7; (5+6)+(6+7) = 24
1,2,4,5; 4*(5-1+2) = 24
1,4,4,7; (7*4)*1-4 = 24
1,3,3,7; (7*3)+(3/1) = 24
3,5,6,7; 3*(7-5+6) = 24
1,3,4,5; 5*4+3+1 = 24
2,4,6,7; (6+7*2)+4 = 24
1,2,6,6; (6+6)*(2*1) = 24
1,2,5,7; (5+7)*(2*1) = 24
3,3,5,6; (3+3)*5-6 = 24
2,5,6,6; (5*2-6)*6 = 24
3,5,5,7; (5/5+7)*3 = 24
3,3,5,5; 5*5-3/3 = 24
1,2,5,5; (1+5*5)-2 = 24
1,4,5,6; 6/(5/4-1) = 24
3,4,4,7; (4/4+7)*3 = 24
3,3,5,7; (3*5-7)*3 = 24
5,5,5,5; 5*5-5/5 = 24
5,6,7,7; 6*(5-7/7) = 24
6,6,6,6; (6+6)+(6+6) = 24
1,2,2,7; (2*2)*(7-1) = 24
2,4,6,6; (6-4)*6*2 = 24
2,2,3,6; 6*(3+2/2) = 24
2,2,4,7; (7*2)*2-4 = 24
1,1,4,6; (6/1/1)*4 = 24
4,4,4,7; (7-4/4)*4 = 24
1,4,4,6; (6-1)*4+4 = 24
2,3,4,4; (4*3*4)/2 = 24
4,4,4,4; (4+4*4)+4 = 24
1,4,6,7; (1-4+7)*6 = 24
2,3,4,5; 4*(5-2+3) = 24
1,3,5,6; (1+5)+6*3 = 24
2,4,5,5; (5+5)*2+4 = 24
1,1,3,4; (1+1)*(4*3) = 24
2,2,4,4; (4+2*4)*2 = 24
3,4,5,5; (5+5*3)+4 = 24
1,3,3,3; (1+3)*(3+3) = 24
3,3,6,7; 6+(7*3-3) = 24
3,3,4,6; (6*3*4)/3 = 24
3,6,6,6; (6+6)/(3/6) = 24
1,4,4,5; (5*4)+(4/1) = 24
1,4,5,5; 5*4-1+5 = 24
3,5,5,6; 6*(5/5+3) = 24
5,5,5,6; 5*5-6+5 = 24
2,3,4,6; (2+4)+6*3 = 24
1,2,4,7; 2*(1+4+7) = 24
2,3,6,6; (2+3)*6-6 = 24
3,6,6,7; (6/6+7)*3 = 24
2,6,6,6; (6+6*2)+6 = 24
2,2,4,6; (6*2*4)/2 = 24
2,2,4,5; (2*5)*2+4 = 24
1,3,6,6; 6+(6*1*3) = 24
4,4,5,7; 4*(4-5+7) = 24
1,2,4,4; (1+2)*(4+4) = 24
2,2,3,5; (5*2-2)*3 = 24
1,2,6,7; 6*(7-1-2) = 24
4,5,5,7; (7-5/5)*4 = 24
2,2,2,5; 2*(5*2+2) = 24
2,3,4,7; (7-3)*(2+4) = 24
2,2,3,7; 2*(2+3+7) = 24
2,3,6,7; (6/2)+(3*7) = 24
1,3,3,6; 3*(6-1+3) = 24
3,3,3,7; (3/3+7)*3 = 24
3,4,4,6; (4-3)*6*4 = 24
4,4,4,6; (6*4*4)/4 = 24
1,2,2,5; (5+1)*(2+2) = 24
2,4,7,7; (7+7)*2-4 = 24
3,3,4,5; (5+3/3)*4 = 24
1,1,5,5; 5*5-1/1 = 24
3,4,5,6; (3+5-4)*6 = 24
1,3,4,4; 4*(4-1+3) = 24
2,2,5,5; 5*5-2/2 = 24
2,4,4,7; (7-2)*4+4 = 24
1,1,2,7; (7+1)*(2+1) = 24
2,3,5,7; (7+2)+(3*5) = 24
3,3,7,7; (3+3/7)*7 = 24
2,3,3,7; 3*(7-2+3) = 24
1,3,5,7; (7-3)*(1+5) = 24
1,5,5,6; (1+5)*5-6 = 24
4,5,7,7; (7*5-4)-7 = 24
5,5,6,7; (5*7)-6-5 = 24
1,2,3,4; (3*1*2)*4 = 24
2,2,5,6; (6+5)*2+2 = 24
2,4,5,7; (5+7)*4/2 = 24
3,3,3,5; (3*3)+(5*3) = 24
4,5,5,6; (5*6)/5*4 = 24
2,5,6,7; (6*2)+5+7 = 24
3,7,7,7; (3+7)+(7+7) = 24
2,2,2,4; (2+2)*(2+4) = 24
3,3,6,6; 3*(6+6/3) = 24
4,4,7,7; 7*(4-4/7) = 24
3,6,7,7; 3*(7-6+7) = 24
1,1,4,5; (5+1)/(1/4) = 24
3,3,3,6; (3+6*3)+3 = 24
5,5,7,7; (5+7)+(5+7) = 24
1,5,6,7; (5*6)+(1-7) = 24
2,3,3,3; 3*(2+3+3) = 24
1,1,2,6; (2+1+1)*6 = 24
2,3,3,5; (5+2)*3+3 = 24
1,5,5,5; 5*(5-1/5) = 24
3,3,4,7; 3*(7-3+4) = 24
1,2,3,7; 3*(7-1+2) = 24
4,4,5,5; 4*(5-4+5) = 24
3,4,6,6; (6+6)+4*3 = 24
1,2,5,6; 2*(1+5+6) = 24
5,5,6,6; 6*(5-6+5) = 24
2,4,5,6; (2+4)*5-6 = 24
1,3,3,4; 3*(1+3+4) = 24
2,5,7,7; (7+7)+5*2 = 24
3,3,4,4; 4*3+4*3 = 24
2,4,4,4; 4*(4-2+4) = 24
1,1,5,7; (1+1)*(5+7) = 24
4,6,7,7; (4+7)+(6+7) = 24
1,6,6,6; (6-1)*6-6 = 24
1,1,3,6; (3+1)/1*6 = 24
1,4,5,7; (4*7+1)-5 = 24
4,4,5,6; (5-4)*6*4 = 24
1,5,6,6; (6*5)*1-6 = 24
1,2,7,7; (7*7-1)/2 = 24
2,2,6,6; (6+2)/2*6 = 24
2,4,4,6; (6+2)+(4*4) = 24
2,2,2,3; (2*2*2)*3 = 24
1,2,3,6; (6+2)/(1/3) = 24
1,3,3,5; (3+5)*(3*1) = 24
2,3,3,6; 6+(3*2*3) = 24
1,2,3,3; (2*3)*(1+3) = 24
2,3,5,5; (2+5*5)-3 = 24
4,5,6,7; 4*(5-6+7) = 24
1,2,2,6; (2*1*2)*6 = 24
2,5,5,7; (5+7*2)+5 = 24
2,6,6,7; (6*7+6)/2 = 24
1,3,6,7; 6*3-1+7 = 24
3,4,4,5; 4*(5-3+4) = 24
1,1,4,7; (4*1)*(7-1) = 24
4,6,6,7; (7-6/6)*4 = 24
4,5,5,5; (4+5*5)-5 = 24
3,4,7,7; (4*7+3)-7 = 24
3,3,3,3; (3*3)*3-3 = 24
3,4,4,4; (3+4)*4-4 = 24
1,1,4,4; (4+1+1)*4 = 24
1,1,3,7; (7+1)/(1/3) = 24
1,4,6,6; (1+4)*6-6 = 24
1,3,4,7; (7*4-1)-3 = 24
1,3,7,7; (3-7)*(1-7) = 24
4,6,6,6; (6*4)*6/6 = 24
最大值13以内的题目如下：
