2007-2-17 22:58
KYOKO
24点比较复杂问题
24点大家都会玩了.突然想到个问题,用四则运算(包括括号)四个数字能有多少种表达式.
如果编程能列出来的话那就知道四个数到底能不能算出24来了,不要费尽心思去想了...
2007-2-18 09:31
河边散步
我记得有个不大好算的，3377，程序应该更容易得出结果。
2007-2-18 10:46
夜雨落枫
[quote]原帖由 [i]河边散步[/i] 于 2007-2-18 09:31 发表
我记得有个不大好算的，3377，程序应该更容易得出结果。 [/quote]
(3+3/7)*7
2007-2-20 13:55
bioying
有人统计过从四个1到四个9中间哪些数字是不能算出24的吗？当然只能用四则运算和括号。
2007-2-21 21:32
zhouhuan
有的,我学校里的电脑有存着,现在在家里没有,不然就可以贴出来了.我想作者也是用编程列出来的吧
2007-2-23 17:27
wave
回复 #3 夜雨落枫 的帖子
谢谢了:unsure:
这个题当年是想死我也没想出来的
忘了加评论，差点变成水帖……
要从编程考虑的话，如果只算四则运算和括号，还要考虑是否允许将两个或多个数字合成一个数看的情况……
[[i] 本帖最后由 wave 于 2007-2-23 17:31 编辑 [/i]]
2007-3-24 17:45
fy945
1346我觉得比3377难，毕竟21+3=24很直观。
6/(1-3/4)=24
2007-4-21 23:18
宇文铭
7777还能算出来啊
2007-4-22 20:57
夜雨落枫
) 1111
) 1112
) 1113
) 1114
) 1115
) 1116
) 1117
1) 1118 (1+1+1)*8
) 1119
) 1122
) 1123
) 1124
) 1125
2) 1126 (1+1)*6*2 (2+1+1)*6
3) 1127 (7+1)*(2+1)
4) 1128 (2*1+1)*8 (2+1)*8*1 (2+1*1)*8
5) 1129 (9-1)*(2+1)
) 1133
6) 1134 (1+1)*4*3
7) 1135 (5+1)*(3+1)
8) 1136 (3*1+1)*6 (3+1)*6*1 (3+1*1)*6 (6+1+1)*3
9) 1137 (7*1+1)*3 (7+1)*3*1 (7+1*1)*3 (7-1)*(3+1)
10) 1138 (3+1-1)*8 (8+1-1)*3 8*3*1*1 8*3+1-1
11) 1139 (9*1-1)*3 (9+3)*(1+1) (9-1)*3*1 (9-1*1)*3
12) 1144 (4+1+1)*4
13) 1145 (4+1)*5-1 (5*1+1)*4 (5+1)*4*1 (5+1*1)*4
14) 1146 (4+1-1)*6 (6+1-1)*4 6*4*1*1 6*4+1-1
15) 1147 (7*1-1)*4 (7+1)*(4-1) (7-1)*4*1 (7-1*1)*4
16) 1148 (4*1-1)*8 (4-1)*8*1 (4-1*1)*8 (8+4)*(1+1) (8-1-1)*4
17) 1149 (9-1)*(4-1)
18) 1155 (5*5-1)*1 (5-1)*(5+1) 5*5*1-1 5*5-1*1
19) 1156 (5*1-1)*6 (5-1)*6*1 (5-1*1)*6 (6-1)*5-1
20) 1157 (7+5)*(1+1) (7-1)*(5-1)
21) 1158 (5-1-1)*8
) 1159
22) 1166 (6+6)*(1+1) (6-1-1)*6
) 1167
23) 1168 8*6/(1+1)
24) 1169 (1+1)*9+6
) 1177
) 1178
) 1179
25) 1188 (1+1)*8+8
) 1189
) 1199
) 1222
) 1223
26) 1224 (2+1)*4*2
27) 1225 (5+1)*(2+2) (5+1)*2*2
28) 1226 (2*1+2)*6 (2+2)*6*1 (6+2)*(2+1) 6*2*2*1
29) 1227 (7-1)*(2+2) (7-1)*2*2
30) 1228 (2*2-1)*8 (2+2-1)*8
31) 1229 (9+2+1)*2
32) 1233 (3+1)*3*2
33) 1234 (3+2+1)*4 (4+2)*(3+1) 4*3*2*1
34) 1235 (3+2)*5-1 (5+2+1)*3 (5+3)*(2+1) (5-1)*3*2
35) 1236 (3+2-1)*6 (3-1)*6*2 (6*1+2)*3 (6+2)*3*1 (6+2*1)*3
36) 1237 (2+1)*7+3 (7+2-1)*3 7*3+2+1
37) 1238 (2-1)*8*3 (8+3+1)*2 (8-2)*(3+1) 8*3*(2-1) f8/(1-2/3)
38) 1239 (2+1)*9-3 (9*1+3)*2 (9+1-2)*3 (9+3)*2*1 (9+3*1)*2 9*3-2-1
39) 1244 (4*1+2)*4 (4+2)*4*1 (4+2*1)*4 (4+4)*(2+1) (4-1)*4*2
40) 1245 (5+2-1)*4 (5-1)*(4+2)
41) 1246 (2-1)*6*4 (6+2)*(4-1) 6*4*(2-1)
42) 1247 (7+1-2)*4 (7+4+1)*2
43) 1248 (4+1-2)*8 (4/2+1)*8 (8*1+4)*2 (8*1-2)*4 (8+4)*2*1 (8+4*1)*2 (8-2)*4*1 (8-2*1)*4
44) 1249 (9+1)*2+4 (9+4-1)*2 (9-2-1)*4
45) 1255 5*5+1-2
46) 1256 (5+1-2)*6 (6+5+1)*2 (6-2)*(5+1)
47) 1257 (7*1+5)*2 (7+1)*(5-2) (7+5)*2*1 (7+5*1)*2 (7-2)*5-1
48) 1258 (5*1-2)*8 (5+1)*8/2 (5-2)*8*1 (5-2*1)*8 (8+5-1)*2 (8-2)*(5-1)
49) 1259 (2+1)*5+9 (9-1)*(5-2) 9*2+5+1
50) 1266 (2+1)*6+6 (6*1+6)*2 (6*1-2)*6 (6+6)*2*1 (6-2)*6*1 (6-2*1)*6 (6/2+1)*6
51) 1267 (7+1)*6/2 (7+6-1)*2 (7-1)*(6-2) (7-2-1)*6
52) 1268 (6-2-1)*8 (8+1)*2+6 8*6*1/2 8*6/2*1
53) 1269 (9*2+6)*1 (9-1)*6/2 9*2*1+6 9*2+6*1
54) 1277 (7*7-1)/2
55) 1278 (7+1)*2+8 (7-1)*8/2 8*2+7+1
56) 1279 9*2+7-1 9+7*2+1
57) 1288 (8*2+8)*1 (8/2-1)*8 8*2*1+8 8*2+8*1
58) 1289 (9-1)*2+8 9*8/(2+1) 9+8*2-1
) 1299
59) 1333 (3*3-1)*3 (3+3)*(3+1)
60) 1334 (3*1+3)*4 (3+3)*4*1 (3-1)*4*3 (4+3+1)*3
61) 1335 (5*1+3)*3 (5+3)*3*1 (5+3*1)*3 (5-1)*(3+3)
62) 1336 (6+1)*3+3 (6+3-1)*3
63) 1337 (7*3+3)*1 7*3*1+3 7*3+3*1
64) 1338 (8+1)*3-3 (8-1)*3+3
65) 1339 (9*3-3)*1 (9+3)*(3-1) (9-3)*(3+1) 9*3*1-3 9*3-3*1 f(3-1/3)*9
66) 1344 (4*1+4)*3 (4+3-1)*4 (4+4)*3*1
67) 1345 (3+1)*5+4 (5+3)*(4-1) (5+4-1)*3 5*4+3+1
68) 1346 f6/(1-3/4)
69) 1347 (3+1)*7-4 (4-1)*7+3 7*3+4-1 7*4-3-1
70) 1348 (3+1)*4+8 (8+1-3)*4 (8+4)*(3-1) f8/(4/3-1)
71) 1349 (4+1)*3+9 (4-1)*9-3 (9*1-3)*4 (9-3)*4*1 (9-3*1)*4 9*3+1-4
) 1355
72) 1356 (5+1)*3+6 6*3+5+1
73) 1357 (7+5)*(3-1) (7-3)*(5+1)
74) 1358 (5+1-3)*8 (8-3)*5-1 8+5*3+1
75) 1359 (9+5*3)*1 (9-3)*(5-1) 9*1+5*3 9+5*3*1 f(5/3+1)*9
76) 1366 (6*3+6)*1 (6+1-3)*6 (6+6)*(3-1) 6*3*1+6 6*3+6*1
77) 1367 (7*1-3)*6 (7+1)*(6-3) (7-1)*3+6 (7-3)*6*1 (7-3*1)*6 7+6*3-1
78) 1368 (6*1-3)*8 (6-3)*8*1 (6-3*1)*8 (6/3+1)*8 (8-3-1)*6 8*6/(3-1)
79) 1369 (3-1)*9+6 (6-1)*3+9 (9+1)*3-6 (9-1)*(6-3) (9/3+1)*6
80) 1377 (7-3)*(7-1)
81) 1378 (7-3-1)*8 f3/(1-7/8)
82) 1379 (7+1)*9/3
83) 1388 (3+1)*8-8 (3-1)*8+8 (8+1)*8/3
84) 1389 9*8*1/3 9*8/3*1 f3/(9/8-1)
85) 1399 (9-1)*9/3
86) 1444 (4+1)*4+4 (4-1)*(4+4)
87) 1445 (5*4+4)*1 5*4*1+4 5*4+4*1
88) 1446 (6+1)*4-4 (6-1)*4+4
89) 1447 (7*4-4)*1 7*4*1-4 7*4-4*1 7+4*4+1
90) 1448 (8+4*4)*1 (8-1)*4-4 8*1+4*4 8+4*4*1
91) 1449 (9+1-4)*4 9+4*4-1
92) 1455 (5-1)*5+4 5*4+5-1
93) 1456 f4/(1-5/6) f6/(5/4-1)
94) 1457 (5-1)*7-4 7*4+1-5
95) 1458 (5-1)*4+8 (8-4)*(5+1)
96) 1459 (4-1)*5+9 (9-4)*5-1
97) 1466 (4+1)*6-6 (4-1)*6+6
98) 1467 (7+1-4)*6 f4/(7/6-1)
99) 1468 (6+1-4)*8 (8*1-4)*6 (8-4)*6*1 (8-4*1)*6 f8/(1-4/6)
100) 1469 (9-4-1)*6
101) 1477 (7-4)*(7+1)
102) 1478 (7*1-4)*8 (7+1)*4-8 (7-4)*8*1 (7-4*1)*8 (8-4)*(7-1) 8*4-7-1
103) 1479 (9-1)*(7-4)
104) 1488 (8*4-8)*1 (8-4-1)*8 (8/4+1)*8 8*4*1-8 8*4-8*1
105) 1489 (9-1)*4-8 8*4+1-9 9*8/(4-1)
) 1499
106) 1555 f(5-1/5)*5
107) 1556 (5+1)*5-6 6*5-5-1
) 1557
) 1558
108) 1559 (9-5)*(5+1)
109) 1566 (6*5-6)*1 6*5*1-6 6*5-6*1
110) 1567 (7-1)*5-6 6*5+1-7
111) 1568 (8+1-5)*6
112) 1569 (9*1-5)*6 (9-5)*6*1 (9-5*1)*6
) 1577
113) 1578 (7+1-5)*8 (8-5)*(7+1)
114) 1579 (9-5)*(7-1)
115) 1588 (5-1)*8-8 (8*1-5)*8 (8-5)*8*1 (8-5*1)*8
116) 1589 (9-1)*(8-5) (9-5-1)*8 f9/(1-5/8)
117) 1599 9+9+5+1
118) 1666 (6-1)*6-6
) 1667
119) 1668 f6/(1-6/8)
120) 1669 (9+1-6)*6
) 1677
) 1678
121) 1679 (9-6)*(7+1)
122) 1688 (8+1-6)*8 f8/(8/6-1)
123) 1689 (9*1-6)*8 (9-6)*8*1 (9-6*1)*8 9+8+6+1 f8/(1-6/9)
124) 1699 (9+6)*1+9 (9+9)*1+6 (9+9+6)*1 (9-6)*(9-1) 9*1+9+6 9+9+6*1
) 1777
) 1778
125) 1779 9+7+7+1
126) 1788 8+8+7+1
127) 1789 (8+7)*1+9 (9+1-7)*8 (9+7)*1+8 (9+8)*1+7 (9+8+7)*1 9*1+8+7 9+8*1+7 9+8+7*1
128) 1799 9+9+7-1
129) 1888 (8+8)*1+8 (8+8+8)*1 8*1+8+8
130) 1889 9+8+8-1
) 1899
) 1999
) 2222
131) 2223 (2+2)*3*2 3*2*2*2
132) 2224 (2*2+2)*4 (2+2+2)*4 (4+2)*(2+2) (4+2)*2*2
133) 2225 (5*2+2)*2
) 2226
134) 2227 (7*2-2)*2
135) 2228 (2/2+2)*8 (8+2*2)*2 (8+2+2)*2 (8-2)*(2+2) (8-2)*2*2
136) 2229 (9+2)*2+2
137) 2233 (3*2+2)*3 (3+3)*(2+2) (3+3)*2*2
138) 2234 (4+2*2)*3 (4+2+2)*3
139) 2235 (5*2-2)*3
140) 2236 (3*2-2)*6 (3+2/2)*6 (6+3*2)*2 (6-2)*3*2
141) 2237 (7+2/2)*3 (7+3+2)*2
142) 2238 (3+2-2)*8 (8+2-2)*3 (8+3)*2+2 8*3*2/2 8*3+2-2
143) 2239 (9-2/2)*3 (9-3)*(2+2) (9-3)*2*2 9*2+3*2 f(2/3+2)*9
144) 2244 (4*2+4)*2 (4*2-2)*4
145) 2245 (2+2)*5+4 (5+2/2)*4 (5-2)*4*2 5*2*2+4 5*4+2*2 5*4+2+2
146) 2246 (4+2-2)*6 (4-2)*6*2 (4/2+2)*6 (6+2-2)*4 (6+4+2)*2 (6-2)*(4+2) 6*4*2/2 6*4+2-2
147) 2247 (2+2)*7-4 (7+4)*2+2 (7-2/2)*4 7*2*2-4 7*4-2*2 7*4-2-2
148) 2248 (2+2)*4+8 (4+2)*8/2 (4-2/2)*8 (8*2-4)*2 (8+2)*2+4 (8/2+2)*4 8*2+4*2 8+4*2*2
149) 2249 (9+4)*2-2 9*2+4+2
150) 2255 (5+5+2)*2 5*5-2/2
151) 2256 (5-2/2)*6 (6+2)*(5-2) (6+5)*2+2
152) 2257 7*2+5*2
153) 2258 (8+5)*2-2
154) 2259 (9+5-2)*2
155) 2266 (6+2)*6/2 6*2+6*2
156) 2267 (7+2)*2+6 (7+6)*2-2
157) 2268 (6+2)*2+8 (8+6-2)*2 (8-2)*(6-2) (8-2*2)*6 (8-2-2)*6 8*2+6+2
158) 2269 (9*2-6)*2 (9+6/2)*2
159) 2277 (7+7-2)*2
160) 2278 (7-2*2)*8 (7-2-2)*8 8+7*2+2
) 2279
161) 2288 (2+2)*8-8 (8-2)*8/2 (8/2+8)*2 8*2*2-8
162) 2289 9*2+8-2
) 2299
163) 2333 (3*3+3)*2 (3+3+2)*3
) 2334
164) 2335 (5*3-3)*2 (5+2)*3+3
165) 2336 (3+3-2)*6 (6+3+3)*2 (6-2)*(3+3) 6*3+3*2 6+3*3*2
166) 2337 (7+2)*3-3 (7+3-2)*3 (7-3)*3*2
167) 2338 (3*2-3)*8 (3+3)*8/2 (3-2)*8*3 (3/3+2)*8 8*3*(3-2)
168) 2339 (3+2)*3+9 (9+2-3)*3 (9-2)*3+3 9*2+3+3
169) 2344 (3+2)*4+4 (4-2)*4*3 4*4*3/2
170) 2345 (5+3-2)*4 (5+4+3)*2
171) 2346 (3-2)*6*4 (4+2)*3+6 (6*2-4)*3 (6+4-2)*3 (6+4/2)*3 (6-3)*4*2 (6/2+3)*4 6*2+4*3 6*3+4+2 6*4*(3-2)
172) 2347 (7+2-3)*4 (7+3)*2+4 (7-3)*(4+2)
173) 2348 (4+2-3)*8 (8-4)*3*2 (8/2+4)*3
174) 2349 (9+3)*(4-2) (9+3)*4/2 9*4*2/3
175) 2355 (5+5-2)*3 (5-2)*(5+3) 5*5+2-3
176) 2356 (5+2-3)*6 (5+3)*6/2 (5-3)*6*2 (6/2+5)*3 5*3*2-6 6*5-3*2
177) 2357 (5-2)*7+3 7*3+5-2 7+5*3+2
178) 2358 (5+3)*2+8 8*2+5+3 f8/(2-5/3)
179) 2359 (5-2)*9-3 (9*5+3)/2 (9-5)*3*2 9*3+2-5
180) 2366 (3+2)*6-6 (6*3-6)*2 (6+3)*2+6 (6-3)*(6+2) (6/3+2)*6 6*6*2/3
181) 2367 (7*2-6)*3 7*3+6/2 7*6/2+3
182) 2368 (8+2)*3-6 (8-2)*3+6 8+6*3-2
183) 2369 (6+2)*9/3 (9+6-3)*2 (9-3)*(6-2) (9-3-2)*6 9*3-6/2 9*6/2-3 9+6*2+3 f(3-2/6)*9
184) 2377 7*2+7+3
185) 2378 (7+2)*8/3 (8+7-3)*2 (8-2)*(7-3) f8/(7/3-2)
186) 2379 (7*3-9)*2 (7-2)*3+9 (9+7)*3/2
187) 2388 (8*2-8)*3 (8+8)*3/2 (8-3-2)*8
188) 2389 (9-3)*8/2 (9-3*2)*8
189) 2399 (9+2)*3-9 (9/3+9)*2 9*2+9-3 9+9+3*2
190) 2444 (4*4-4)*2 (4+4+4)*2 (4+4-2)*4 (4/2+4)*4 4*4+4*2
191) 2445 (5*2-4)*4 (5+2)*4-4 (5-2)*(4+4)
192) 2446 (4*2-4)*6 (4+4)*6/2 (6+4)*2+4 6+4*4+2
193) 2447 (7-2)*4+4 (7-4)*4*2
194) 2448 (4+4)*2+8 (4/4+2)*8 (8+2-4)*4 (8+4)*(4-2) (8+4)*4/2 (8-4)*(4+2) (8-4/2)*4 4*4*2-8 8*2+4+4 8*4-4*2
195) 2449 (9-2)*4-4
196) 2455 (5+5)*2+4
197) 2456 (4+2)*5-6 (5+4)*2+6 (6-2)*5+4 6*5-4-2 6+5*4-2
198) 2457 (7+5)*(4-2) (7+5)*4/2
199) 2458 (4*2-5)*8 (5*4-8)*2 (5+2-4)*8 (5-4/2)*8 (8-5)*4*2 8*5/2+4 8/2+5*4
200) 2459 (9+2-5)*4 (9+5)*2-4 (9-5)*(4+2)
201) 2466 (6*2-6)*4 (6+2-4)*6 (6+6)*(4-2) (6+6)*4/2 (6-4)*6*2 (6-4/2)*6
202) 2467 (6-2)*7-4 (7-4)*(6+2) 7*2+6+4 7*4+2-6 f6/(2-7/4)
203) 2468 (6+2)*4-8 (6-2)*4+8 (8+6)*2-4 (8/4+2)*6 8*4-6-2 8*6*2/4 8*6/(4-2) 8+6*2+4
204) 2469 (4-2)*9+6 (9-6)*4*2 (9-6/2)*4 9*4-6*2 9*4/2+6 f(4/6+2)*9 f6/(9/4-2)
205) 2477 (7+7)*2-4
206) 2478 (7*2-8)*4 7*4-8/2 8*7/2-4
207) 2479 (9+7-4)*2 9+7+4*2
208) 2488 (4-2)*8+8 (8+8-4)*2 (8-4)*(8-2) 8*4/2+8 8+8+4*2
209) 2489 (9-4-2)*8
210) 2499 9+9+4+2
) 2555
) 2556
211) 2557 7*2+5+5
212) 2558 (5/5+2)*8
213) 2559 (5-2)*5+9 9+5*2+5
214) 2566 (5*2-6)*6 (5-2)*6+6
215) 2567 (7+2-5)*6 (7-5)*6*2 7+6*2+5
216) 2568 (6+2-5)*8 (8-2)*5-6 (8-5)*(6+2) 6*5+2-8 8+6+5*2
217) 2569 9+6*5/2
218) 2577 7+7+5*2
219) 2578 (5*2-7)*8
220) 2579 7*5-9-2
221) 2588 (8*5+8)/2 8*5-8*2
222) 2589 (9+8-5)*2 (9-5)*(8-2) 9*8/(5-2) 9+8+5+2
) 2599
223) 2666 6*2+6+6 6*6-6*2 6*6/2+6
224) 2667 (7*6+6)/2 (7-2)*6-6 (7-6/2)*6
225) 2668 (6*2-8)*6 (6-6/2)*8 (6/6+2)*8 (8+2-6)*6 (8-6)*6*2
226) 2669 (9*6-6)/2 (9+6)*2-6 (9-6)*(6+2)
) 2677
227) 2678 (7+2-6)*8 (8+7)*2-6
228) 2679 (9+2-7)*6 (9-7)*6*2 7*6-9*2 9+7+6+2
229) 2688 (6-2)*8-8 (8-8/2)*6 8+8+6+2
230) 2689 (6*2-9)*8 9*8*2/6
231) 2699 (9+9-6)*2 f(6/9+2)*9
) 2777
232) 2778 (7/7+2)*8 8+7+7+2
) 2779
233) 2788 (7-8/2)*8 (8*7-8)/2 (8+2-7)*8
234) 2789 (9+7)*2-8
) 2799
235) 2888 (8+8)*2-8 (8/8+2)*8 8*8/2-8
236) 2889 (9+2-8)*8
237) 2899 (9/9+2)*8 9+9+8-2
) 2999
238) 3333 3*3*3-3
239) 3334 (3*3-3)*4 (4+3)*3+3
240) 3335 5*3+3*3
241) 3336 (3+3)*3+6 (3/3+3)*6 (6+3)*3-3 6*3+3+3
242) 3337 (7+3/3)*3 (7-3)*(3+3)
243) 3338 (3+3-3)*8 (8+3-3)*3 8*3*3/3 8*3+3-3
244) 3339 (9-3/3)*3
245) 3344 (4*3-4)*3 4*3+4*3
246) 3345 (5+3/3)*4 (5+4)*3-3 (5-3)*4*3
247) 3346 (4+3-3)*6 (6+3-3)*4 6*4*3/3 6*4+3-3
248) 3347 (7+4-3)*3 (7-3/3)*4
249) 3348 (4-3)*8*3 (4-3/3)*8 (8-4)*(3+3) 8*3*(4-3)
250) 3349 (9+3-4)*3 (9/3+3)*4 9+4*3+3
251) 3355 5*5-3/3
252) 3356 (3*3-5)*6 (3+3)*5-6 (5-3/3)*6 (6+5-3)*3 (6-3)*(5+3) 6*5-3-3 6+5*3+3
253) 3357 (5*3-7)*3
) 3358
254) 3359 (5+3)*9/3 (9+3)*(5-3) (9-5)*(3+3) (9/3+5)*3
255) 3366 (6/3+6)*3
256) 3367 (6-3)*7+3 (7+3)*3-6 7*3+6-3
257) 3368 (3*3-6)*8 (6+3)*8/3
258) 3369 (6-3)*9-3 (9+3)*6/3 (9-3)*3+6 9*3+3-6 9+6*3-3 9+6+3*3
259) 3377 f(3/7+3)*7
260) 3378 8+7+3*3
261) 3379 (9-3)*(7-3) 9*7/3+3 9/3+7*3
262) 3388 f8/(3-8/3)
263) 3389 (8+3)*3-9 (8-3)*3+9 (9-3-3)*8
264) 3399 9*3-9/3 9*9/3-3 9+9+3+3 f(3-3/9)*9
265) 3444 (4+3)*4-4
266) 3445 (5+4-3)*4 5+4*4+3
267) 3446 (4*3-6)*4 (4-3)*6*4 (4/4+3)*6 (6-3)*(4+4) (6-4)*4*3 (6/3+4)*4 6*4*(4-3)
268) 3447 (7+3-4)*4 (7+4/4)*3
269) 3448 (4*4-8)*3 (4+3-4)*8 (8+4-4)*3 (8-3)*4+4 8*3+4-4 8*4*3/4 8+4*3+4
270) 3449 (4+4)*9/3 (9-4/4)*3 9*4-4*3 f(4-4/3)*9
271) 3455 5*3+5+4 5*5+3-4
272) 3456 (5+3-4)*6
273) 3457 (7+5-4)*3 (7-3)*5+4 (7-4)*(5+3) (7-5)*4*3 7+5*4-3 7+5+4*3
274) 3458 (5+3)*4-8 (5+4)*8/3 (5-4)*8*3 (8+3-5)*4 (8+4)*(5-3) 8*3*(5-4) 8*4-5-3
275) 3459 (5*3-9)*4 (9+4-5)*3
276) 3466 (6+4)*3-6 (6+6-4)*3 6*6-4*3 6+6+4*3
) 3467
277) 3468 (4*3-8)*6 (8+4)*6/3 (8-6)*4*3 (8-6/3)*4 (8/4+6)*3
278) 3469 (9+3)*(6-4) (9+3-6)*4
279) 3477 (7-3)*7-4 (7-4)*7+3 7*3+7-4 7*4+3-7
280) 3478 (7-3)*4+8
281) 3479 (7+4)*3-9 (7-4)*9-3 (9-7)*4*3 9*3+4-7
) 3488
282) 3489 (4*3-9)*8 (9+3)*8/4 (9-3)*(8-4) 9+8+4+3
283) 3499 (9+9)*4/3 (9-4)*3+9 (9-9/3)*4 9*4-9-3
) 3555
284) 3556 (5+5)*3-6 (5/5+3)*6
285) 3557 (7+5)*(5-3) (7+5/5)*3
286) 3558 (5+3-5)*8 (8+5-5)*3 (8-5)*(5+3) 8*3+5-5 8*5*3/5
287) 3559 (9-5/5)*3 f(9/5+3)*5
288) 3566 (6+3-5)*6 (6+6)*(5-3)
289) 3567 (7+5)*6/3 (7+6-5)*3
290) 3568 (5-6/3)*8 (6-5)*8*3 8*3*(6-5) 8*6/(5-3)
291) 3569 (5-3)*9+6 (6+5)*3-9 (6-3)*5+9 (9+5-6)*3 (9-3)*5-6 (9-6)*(5+3) 6*5+3-9
) 3577
292) 3578 (8-5)*7+3 7*5-8-3 8+7*3-5
293) 3579 (9+3)*(7-5) 9*5-7*3 9+7+5+3 f(5-7/3)*9
294) 3588 (5-3)*8+8 8+8+5+3
295) 3589 (8-5)*9-3 9*3+5-8
296) 3599 (9-5)*(9-3) 9*5/3+9
297) 3666 (6+6)*6/3 (6-3)*6+6 (6-6/3)*6 (6/6+3)*6
298) 3667 (7+3-6)*6 (7+6/6)*3 7*6-6*3
299) 3668 (6+3-6)*8 (8+6-6)*3 (8-3)*6-6 8*3+6-6 8*6*3/6
300) 3669 (9-6/6)*3 6*6-9-3 9*6/3+6 9+6+6+3
301) 3677 (7+7-6)*3 (7/7+3)*6
302) 3678 (7-6)*8*3 (8+3-7)*6 8*3*(7-6) 8+7+6+3
303) 3679 (7-9/3)*6 (9+6-7)*3 (9-6)*7+3 9+7*3-6
304) 3688 (8/8+3)*6 8*6-8*3 8*6/3+8
305) 3689 (6-9/3)*8 (9+3)*(8-6) (9+3-8)*6 9*8/(6-3)
306) 3699 (9-6)*9-3 (9/9+3)*6 9*3+6-9
307) 3777 (7/7+7)*3 7+7+7+3
308) 3778 (7+3-7)*8 (8+7-7)*3 8*3+7-7 8*7*3/7
309) 3779 (9-7/7)*3
310) 3788 (7-3)*8-8 (8-7)*8*3 (8/8+7)*3 8*3*(8-7)
311) 3789 (9+7-8)*3
312) 3799 (9*7+9)/3 (9-7)*(9+3) (9/9+7)*3
313) 3888 (8*8+8)/3 (8+3-8)*8 (8+8-8)*3 8*3+8-8 8*8*3/8
314) 3889 (9-8)*8*3 (9-8/8)*3 8*3*(9-8)
315) 3899 (9+3-9)*8 (9+8-9)*3 9*8*3/9 9+8*3-9
316) 3999 (9*9-9)/3 (9-9/9)*3 9+9+9-3
317) 4444 4*4+4+4
318) 4445 (5+4/4)*4
319) 4446 (4+4-4)*6 (6+4-4)*4 6*4*4/4 6*4+4-4
320) 4447 (7-4)*(4+4) (7-4/4)*4
321) 4448 (4+4)*4-8 (4-4/4)*8 (8/4+4)*4 8*4-4-4
322) 4449 (9-4)*4+4
323) 4455 (5+5-4)*4 5*5-4/4 f(4/5+4)*5
324) 4456 (5-4)*6*4 (5-4/4)*6 6*4*(5-4)
325) 4457 (7+4-5)*4
326) 4458 (4+4-5)*8 (8-4)*5+4 (8-5)*(4+4) 8*5-4*4 8+5*4-4
) 4459
) 4466
) 4467
327) 4468 (8+4)*(6-4) (8+4-6)*4
328) 4469 (9-6)*(4+4) 9*4*4/6
329) 4477 f(4-4/7)*7
330) 4478 (8-4)*7-4 7*4+4-8
331) 4479 (9+4-7)*4 9+7+4+4
332) 4488 (8+4)*8/4 (8-4)*4+8 (8-8/4)*4 8+8+4+4
333) 4489 9*4-8-4
) 4499
334) 4555 (5/5+5)*4 5*5+4-5
335) 4556 (5+4-5)*6 (6+5-5)*4 6*4+5-5 6*5*4/5
336) 4557 (7-5/5)*4
337) 4558 (4-5/5)*8
338) 4559 (9-5)*5+4 9+5*4-5
339) 4566 (6-5)*6*4 (6/6+5)*4 6*4*(6-5)
340) 4567 (7+5)*(6-4) (7+5-6)*4
341) 4568 (5+4-6)*8
342) 4569 9+6+5+4
343) 4577 (7/7+5)*4 7*5-7-4
344) 4578 (7+5)*8/4 (8+4)*(7-5) (8+5-7)*4 8+7+5+4
345) 4579 (7-4)*5+9 (9-5)*7-4 7*4+5-9 9*4-7-5
346) 4588 (5-8/4)*8 (8/8+5)*4
347) 4589 (9+5-8)*4 (9-5)*4+8
348) 4599 (9/9+5)*4
349) 4666 (6+4-6)*6 (6+6-6)*4 (6-4)*(6+6) 6*4+6-6 6*6*4/6
350) 4667 (7-4)*6+6 (7-6)*6*4 (7-6/6)*4 6*4*(7-6)
351) 4668 (4-6/6)*8 (6+6)*8/4 (6-8/4)*6 6*6-8-4 8*6-6*4 8*6/(6-4) 8+6+6+4
352) 4669 (6-4)*9+6 (9-4)*6-6 9*4-6-6
353) 4677 (7+4-7)*6 (7+6-7)*4 7*6*4/7 7+6*4-7 7+7+6+4
354) 4678 (6+4-7)*8 (8-7)*6*4 6*4*(8-7)
355) 4679 (9+7)*6/4
356) 4688 (6-4)*8+8 (8+4-8)*6 (8+6-8)*4 (8+8)*6/4 (8-6)*(8+4) 8*6*4/8 8+6*4-8
357) 4689 (9-8)*6*4 6*4*(9-8) 9*8/4+6 f(4-8/6)*9
358) 4699 (9+4-9)*6 (9+6-9)*4 9*6*4/9 9+6*4-9
359) 4777 (7-7/7)*4
360) 4778 (4-7/7)*8 (7+7-8)*4
) 4779
361) 4788 (7+4-8)*8 (7-8/8)*4 8*7-8*4
362) 4789 (8+7-9)*4 (9-7)*(8+4) 9*8/(7-4)
363) 4799 (7-9/9)*4
364) 4888 (4-8/8)*8 (8-4)*8-8 8*8/4+8
365) 4889 (8+4-9)*8
366) 4899 (4-9/9)*8
) 4999
367) 5555 5*5-5/5
368) 5556 (5-5/5)*6 5*5+5-6
) 5557
) 5558
369) 5559 9+5+5+5
370) 5566 (5+5-6)*6 5*5-6/6 f(6-6/5)*5
371) 5567 6+5*5-7 7*5-6-5
372) 5568 8+6+5+5
) 5569
373) 5577 (7-5)*(7+5) 5*5-7/7 7*7-5*5 7+7+5+5
374) 5578 (5+5-7)*8 7+5*5-8
) 5579
375) 5588 5*5-8/8
376) 5589 (8-5)*5+9 8+5*5-9
377) 5599 5*5-9/9
378) 5666 (5-6/6)*6
379) 5667 (6+5-7)*6 (7-5)*(6+6) 6*6-7-5 7+6+6+5
380) 5668 (8-5)*6+6
381) 5669 9*6-6*5
382) 5677 (5-7/7)*6
383) 5678 (7+5-8)*6 (8-6)*(7+5) 8*6/(7-5)
384) 5679 (7-5)*9+6
385) 5688 (5-8/8)*6 (6+5-8)*8
386) 5689 (8+5-9)*6 (9+6)*8/5
387) 5699 (5-9/9)*6 (9-6)*5+9
) 5777
) 5778
388) 5779 (9-7)*(7+5)
389) 5788 (7-5)*8+8 (8+7)*8/5
390) 5789 (7+5-9)*8 8*5-9-7
) 5799
391) 5888 8*5-8-8 8*8-8*5
392) 5889 (9-5)*8-8 9*8/(8-5)
) 5899
) 5999
393) 6666 6*6-6-6 6+6+6+6
) 6667
394) 6668 (6+6-8)*6 (8-6)*(6+6)
395) 6669 (9-6)*6+6 6*6*6/9
) 6677
) 6678
396) 6679 (7+6-9)*6 (9-7)*(6+6)
397) 6688 8*6/(8-6)
398) 6689 (6+6-9)*8 (8-6)*9+6
) 6699
) 6777
) 6778
) 6779
) 6788
399) 6789 8*6/(9-7)
400) 6799 (9+7)*9/6 (9-7)*9+6 7*6-9-9
401) 6888 (8-6)*8+8
402) 6889 (8+8)*9/6 9*8-8*6
403) 6899 (9+9)*8/6 9*8/(9-6)
) 6999
) 7777
) 7778
) 7779
) 7788
) 7789
) 7799
) 7888
404) 7889 (9-7)*8+8
) 7899
) 7999
) 8888
) 8889
) 8899
) 8999
) 9999
24点全解，转自[url]http://sq.k12.com.cn/bbs/index.php?t=msg&goto=109617&rid=0#msg_109617[/url]
2007-5-3 10:07
飞龙狂飙
真的很不错。