2 个八两瓶装满酒，1 个三两空杯，如何均分给 4 个人？

王守恩

还是让我找出规律来了！！——分享快乐！！！分享快乐！！！分享快乐！！！

从简单开始！——2两 = 8两 - 3两 - 3两。——2两是关键！8两无非就是绕绕弯！

大瓶=2两, 小瓶=2两, 杯=3两, 每人4两, 人数=1, 共 2 步。
0, {2, 2, 0, 0}
1, {0, 2, 0, 2}
2, {0, 0, 0, 4}

大瓶=6两, 小瓶=2两, 杯=3两, 每人4两, 人数=2, 共 4 步。
0, {6, 2, 0, 0, 0}
1, {6, 0, 0, 2, 0}
2, {4, 2, 0, 2, 0}
3, {0, 2, 0, 2, 4}
4, {0, 0, 0, 4, 4}

大瓶=10两, 小瓶=2两, 杯=3两, 每人4两, 人数=3, 共 8 步。
0, {10, 2, 0, 0, 0, 0}
1, {7, 2, 3, 0, 0, 0}
2, {7, 0, 3, 2, 0, 0}
3, {7, 2, 1, 2, 0, 0}
4, {7, 0, 1, 4, 0, 0}
5, {7, 0, 0, 4, 1, 0}
6, {4, 0, 3, 4, 1, 0}
7, {0, 0, 3, 4, 1, 4}
8, {0, 0, 0, 4, 4, 4}

大瓶=14两, 小瓶=2两, 杯=3两, 每人4两, 人数=4, 共 12 步。
0, {14, 2, 0, 0, 0, 0, 0}
1, {11, 2, 3, 0, 0, 0, 0}
2, {11, 0, 3, 2, 0, 0, 0}
3, {9, 2, 3, 2, 0, 0, 0}
4, {9, 0, 3, 4, 0, 0, 0}
5, {7, 2, 3, 4, 0, 0, 0}
6, {7, 0, 3, 4, 2, 0, 0}
7, {7, 2, 1, 4, 2, 0, 0}
8, {7, 0, 1, 4, 4, 0, 0}
9, {7, 0, 0, 4, 4, 1, 0}
10, {4, 0, 3, 4, 4, 1, 0}
11, {0, 0, 3, 4, 4, 1, 4}
12, {0, 0, 0, 4, 4, 4, 4}

大瓶=18两, 小瓶=2两, 杯=3两, 每人4两, 人数=5, 共 16 步。
0, {18, 2, 0, 0, 0, 0, 0, 0}
1, {15, 2, 3, 0, 0, 0, 0, 0}
2, {15, 0, 3, 2, 0, 0, 0, 0}
3, {13, 2, 3, 2, 0, 0, 0, 0}
4, {13, 0, 3, 4, 0, 0, 0, 0}
5, {11, 2, 3, 4, 0, 0, 0, 0}
6, {11, 0, 3, 4, 2, 0, 0, 0}
7, {9, 2, 3, 4, 2, 0, 0, 0}
8, {9, 0, 3, 4, 4, 0, 0, 0}
9, {7, 2, 3, 4, 4, 0, 0, 0}
10, {7, 0, 3, 4, 4, 2, 0, 0}
11, {7, 2, 1, 4, 4, 2, 0, 0}
12, {7, 0, 1, 4, 4, 4, 0, 0}
13, {7, 0, 0, 4, 4, 4, 1, 0}
14, {4, 0, 3, 4, 4, 4, 1, 0}
15, {0, 0, 3, 4, 4, 4, 1, 4}
16, {0, 0, 0, 4, 4, 4, 4, 4}

大瓶=22两, 小瓶=2两, 杯=3两, 每人4两, 人数=6, 共 20 步。
0, {22, 2, 0, 0, 0, 0, 0, 0, 0}
1, {19, 2, 3, 0, 0, 0, 0, 0, 0}
2, {19, 0, 3, 2, 0, 0, 0, 0, 0}
3, {17, 2, 3, 2, 0, 0, 0, 0, 0}
4, {17, 0, 3, 4, 0, 0, 0, 0, 0}
5, {15, 2, 3, 4, 0, 0, 0, 0, 0}
6, {15, 0, 3, 4, 2, 0, 0, 0, 0}
7, {13, 2, 3, 4, 2, 0, 0, 0, 0}
8, {13, 0, 3, 4, 4, 0, 0, 0, 0}
9, {11, 2, 3, 4, 4, 0, 0, 0, 0}
10, {11, 0, 3, 4, 4, 2, 0, 0, 0}
11, {9, 2, 3, 4, 4, 2, 0, 0, 0}
12, {9, 0, 3, 4, 4, 4, 0, 0, 0}
13, {7, 2, 3, 4, 4, 4, 0, 0, 0}
14, {7, 0, 3, 4, 4, 4, 2, 0, 0}
15, {7, 2, 1, 4, 4, 4, 2, 0, 0}
16, {7, 0, 1, 4, 4, 4, 4, 0, 0}
17, {7, 0, 0, 4, 4, 4, 4, 1, 0}
18, {4, 0, 3, 4, 4, 4, 4, 1, 0}
19, {0, 0, 3, 4, 4, 4, 4, 1, 4}
20, {0, 0, 0, 4, 4, 4, 4, 4, 4}

大瓶=26两, 小瓶=2两, 杯=3两, 每人4两, 人数=7, 共 24 步。
0, {26, 2, 0, 0, 0, 0, 0, 0, 0, 0}
1, {23, 2, 3, 0, 0, 0, 0, 0, 0, 0}
2, {23, 0, 3, 2, 0, 0, 0, 0, 0, 0}
3, {21, 2, 3, 2, 0, 0, 0, 0, 0, 0}
4, {21, 0, 3, 4, 0, 0, 0, 0, 0, 0}
5, {19, 2, 3, 4, 0, 0, 0, 0, 0, 0}
6, {19, 0, 3, 4, 2, 0, 0, 0, 0, 0}
7, {17, 2, 3, 4, 2, 0, 0, 0, 0, 0}
8, {17, 0, 3, 4, 4, 0, 0, 0, 0, 0}
9, {15, 2, 3, 4, 4, 0, 0, 0, 0, 0}
10, {15, 0, 3, 4, 4, 2, 0, 0, 0, 0}
11, {13, 2, 3, 4, 4, 2, 0, 0, 0, 0}
12, {13, 0, 3, 4, 4, 4, 0, 0, 0, 0}
13, {11, 2, 3, 4, 4, 4, 0, 0, 0, 0}
14, {11, 0, 3, 4, 4, 4, 2, 0, 0, 0}
15, {9, 2, 3, 4, 4, 4, 2, 0, 0, 0}
16, {9, 0, 3, 4, 4, 4, 4, 0, 0, 0}
17, {7, 2, 3, 4, 4, 4, 4, 0, 0, 0}
18, {7, 0, 3, 4, 4, 4, 4, 2, 0, 0}
19, {7, 2, 1, 4, 4, 4, 4, 2, 0, 0}
20, {7, 0, 1, 4, 4, 4, 4, 4, 0, 0}
21, {7, 0, 0, 4, 4, 4, 4, 4, 1, 0}
22, {4, 0, 3, 4, 4, 4, 4, 4, 1, 0}
23, {0, 0, 3, 4, 4, 4, 4, 4, 1, 4}
24, {0, 0, 0, 4, 4, 4, 4, 4, 4, 4}

看第 1 列。
0, 0, 2——2 步。
0, 0, 4, 6, 6——4 步。
0, 0, 4, 7, 7, 7, 7, 7, 10——8 步。
0, 0, 4, 7, 7, 7, 7, 7, 09, 9, 11, 11, 14——12 步。
0, 0, 4, 7, 7, 7, 7, 7, 09, 9, 11, 11, 13, 13, 15, 15, 18——16 步。
0, 0, 4, 7, 7, 7, 7, 7, 09, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 22——20 步。
0, 0, 4, 7, 7, 7, 7, 7, 09, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 23, 23, 26——24 步。
0, 0, 4, 7, 7, 7, 7, 7, 09, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 23, 23, 25, 25, 27, 27, 30——28 步。
0, 0, 4, 7, 7, 7, 7, 7, 09, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 23, 23, 25, 25, 27, 27, 29, 29, 31, 31, 34——32 步。
0, 0, 4, 7, 7, 7, 7, 7, 09, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 23, 23, 25, 25, 27, 27, 29, 29, 31, 31, 33, 33, 35, 35, 38——36 步。
0, 0, 4, 7, 7, 7, 7, 7, 09, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 23, 23, 25, 25, 27, 27, 29, 29, 31, 31, 33, 33, 35, 35, 37, 37, 39, 39, 42——40 步。

0, 0, 4, 7, 7, 7, 7, 7, 09, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 23, 23, 25, 25, 27, 27, 29, 29, 31, 31, 33, 33, 35, 35, 37, 37, 39, 39, 41, 41, 43, 43, 45, 45, 47, 47, 49, 49, 51, 51, 53,......

会电脑的网友可以去问问IA——看看它能解决什么——什么也解决不了——千万记住——IA只是我们的工具！我们不是IA的奴隶！

王守恩

继续分享快乐！！！

楼上——小瓶=2两, 杯=3两, 每人4两——每个数 - 1。
简化——小瓶=1两, 杯=2两, 每人3两。

大瓶=2两, 小瓶=1两, 杯=2两, 每人3两, 人数=1, 共 2 步。
0, {2, 1, 0, 0}
1, {0, 1, 0, 2}
2, {0, 0, 0, 3}

大瓶=5两, 小瓶=1两, 杯=2两, 每人3两, 人数=2, 共 4 步。
0, {5, 1, 0, 0, 0}
1, {3, 1, 2, 0, 0}
2, {3, 0, 2, 1, 0}
3, {3, 0, 0, 3, 0}
4, {0, 0, 0, 3, 3}

大瓶=8两, 小瓶=1两, 杯=2两, 每人3两, 人数=3, 共 8 步。
0, {8, 1, 0, 0, 0, 0}
1, {6, 1, 2, 0, 0, 0}
2, {6, 0, 2, 1, 0, 0}
3, {5, 1, 2, 1, 0, 0}
4, {5, 0, 2, 1, 1, 0}
5, {5, 0, 0, 3, 1, 0}
6, {3, 0, 2, 3, 1, 0}
7, {3, 0, 0, 3, 3, 0}
8, {0, 0, 0, 3, 3, 3}

大瓶=11两, 小瓶=1两, 杯=2两, 每人3两, 人数=4, 共 12 步。
0, {11, 1, 0, 0, 0, 0, 0}
1, {9, 1, 2, 0, 0, 0, 0}
2, {9, 0, 2, 1, 0, 0, 0}
3, {8, 1, 2, 1, 0, 0, 0}
4, {8, 0, 2, 1, 1, 0, 0}
5, {7, 1, 2, 1, 1, 0, 0}
6, {7, 0, 2, 1, 1, 1, 0}
7, {7, 0, 0, 3, 1, 1, 0}
8, {5, 0, 2, 3, 1, 1, 0}
9, {5, 0, 0, 3, 3, 1, 0}
10, {3, 0, 2, 3, 3, 1, 0}
11, {3, 0, 0, 3, 3, 3, 0}
12, {0, 0, 0, 3, 3, 3, 3}

大瓶=14两, 小瓶=1两, 杯=2两, 每人3两, 人数=5, 共 16 步。
0, {14, 1, 0, 0, 0, 0, 0, 0}
1, {12, 1, 2, 0, 0, 0, 0, 0}
2, {12, 0, 2, 1, 0, 0, 0, 0}
3, {11, 1, 2, 1, 0, 0, 0, 0}
4, {11, 0, 2, 1, 1, 0, 0, 0}
5, {10, 1, 2, 1, 1, 0, 0, 0}
6, {10, 0, 2, 1, 1, 1, 0, 0}
7, {9, 1, 2, 1, 1, 1, 0, 0}
8, {9, 0, 2, 1, 1, 1, 1, 0}
9, {9, 0, 0, 3, 1, 1, 1, 0}
10, {7, 0, 2, 3, 1, 1, 1, 0}
11, {7, 0, 0, 3, 3, 1, 1, 0}
12, {5, 0, 2, 3, 3, 1, 1, 0}
13, {5, 0, 0, 3, 3, 3, 1, 0}
14, {3, 0, 2, 3, 3, 3, 1, 0}
15, {3, 0, 0, 3, 3, 3, 3, 0}
16, {0, 0, 0, 3, 3, 3, 3, 3}

大瓶=17两, 小瓶=1两, 杯=2两, 每人3两, 人数=6, 共 20 步。
0, {17, 1, 0, 0, 0, 0, 0, 0, 0}
1, {15, 1, 2, 0, 0, 0, 0, 0, 0}
2, {15, 0, 2, 1, 0, 0, 0, 0, 0}
3, {14, 1, 2, 1, 0, 0, 0, 0, 0}
4, {14, 0, 2, 1, 1, 0, 0, 0, 0}
5, {13, 1, 2, 1, 1, 0, 0, 0, 0}
6, {13, 0, 2, 1, 1, 1, 0, 0, 0}
7, {12, 1, 2, 1, 1, 1, 0, 0, 0}
8, {12, 0, 2, 1, 1, 1, 1, 0, 0}
9, {11, 1, 2, 1, 1, 1, 1, 0, 0}
10, {11, 0, 2, 1, 1, 1, 1, 1, 0}
11, {11, 0, 0, 3, 1, 1, 1, 1, 0}
12, {9, 0, 2, 3, 1, 1, 1, 1, 0}
13, {9, 0, 0, 3, 3, 1, 1, 1, 0}
14, {7, 0, 2, 3, 3, 1, 1, 1, 0}
15, {7, 0, 0, 3, 3, 3, 1, 1, 0}
16, {5, 0, 2, 3, 3, 3, 1, 1, 0}
17, {5, 0, 0, 3, 3, 3, 3, 1, 0}
18, {3, 0, 2, 3, 3, 3, 3, 1, 0}
19, {3, 0, 0, 3, 3, 3, 3, 3, 0}
20, {0, 0, 0, 3, 3, 3, 3, 3, 3}

大瓶=20两, 小瓶=1两, 杯=2两, 每人3两, 人数=7, 共 24 步。
0, {20, 1, 0, 0, 0, 0, 0, 0, 0, 0}
1, {18, 1, 2, 0, 0, 0, 0, 0, 0, 0}
2, {18, 0, 2, 1, 0, 0, 0, 0, 0, 0}
3, {17, 1, 2, 1, 0, 0, 0, 0, 0, 0}
4, {17, 0, 2, 1, 1, 0, 0, 0, 0, 0}
5, {16, 1, 2, 1, 1, 0, 0, 0, 0, 0}
6, {16, 0, 2, 1, 1, 1, 0, 0, 0, 0}
7, {15, 1, 2, 1, 1, 1, 0, 0, 0, 0}
8, {15, 0, 2, 1, 1, 1, 1, 0, 0, 0}
9, {14, 1, 2, 1, 1, 1, 1, 0, 0, 0}
10, {14, 0, 2, 1, 1, 1, 1, 1, 0, 0}
11, {13, 1, 2, 1, 1, 1, 1, 1, 0, 0}
12, {13, 0, 2, 1, 1, 1, 1, 1, 1, 0}
13, {13, 0, 0, 3, 1, 1, 1, 1, 1, 0}
14, {11, 0, 2, 3, 1, 1, 1, 1, 1, 0}
15, {11, 0, 0, 3, 3, 1, 1, 1, 1, 0}
16, {9, 0, 2, 3, 3, 1, 1, 1, 1, 0}
17, {9, 0, 0, 3, 3, 3, 1, 1, 1, 0}
18, {7, 0, 2, 3, 3, 3, 1, 1, 1, 0}
19, {7, 0, 0, 3, 3, 3, 3, 1, 1, 0}
20, {5, 0, 2, 3, 3, 3, 3, 1, 1, 0}
21, {5, 0, 0, 3, 3, 3, 3, 3, 1, 0}
22, {3, 0, 2, 3, 3, 3, 3, 3, 1, 0}
23, {3, 0, 0, 3, 3, 3, 3, 3, 3, 0}
24, {0, 0, 0, 3, 3, 3, 3, 3, 3, 3}

大瓶=23两, 小瓶=1两, 杯=2两, 每人3两, 人数=8, 共 28 步。
0, {23, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}
1, {21, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0}
2, {21, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0}
3, {20, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0}
4, {20, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0}
5, {19, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0}
6, {19, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0}
7, {18, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0}
8, {18, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0}
9, {17, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0}
10, {17, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0}
11, {16, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0}
12, {16, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0}
13, {15, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0}
14, {15, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0}
15, {15, 0, 0, 3, 1, 1, 1, 1, 1, 1, 0}
16, {13, 0, 2, 3, 1, 1, 1, 1, 1, 1, 0}
17, {13, 0, 0, 3, 3, 1, 1, 1, 1, 1, 0}
18, {11, 0, 2, 3, 3, 1, 1, 1, 1, 1, 0}
19, {11, 0, 0, 3, 3, 3, 1, 1, 1, 1, 0}
20, {9, 0, 2, 3, 3, 3, 1, 1, 1, 1, 0}
21, {9, 0, 0, 3, 3, 3, 3, 1, 1, 1, 0}
22, {7, 0, 2, 3, 3, 3, 3, 1, 1, 1, 0}
23, {7, 0, 0, 3, 3, 3, 3, 3, 1, 1, 0}
24, {5, 0, 2, 3, 3, 3, 3, 3, 1, 1, 0}
25, {5, 0, 0, 3, 3, 3, 3, 3, 3, 1, 0}
26, {3, 0, 2, 3, 3, 3, 3, 3, 3, 1, 0}
27, {3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0}
28, {0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3}

看第 1 列。
0, 0, 2——2 步。
0, 3, 3, 3, 5——4 步。
0, 3, 3, 5, 5, 5, 6, 6, 8——8 步。
0, 3, 3, 5, 5, 7, 7, 7, 8, 08, 09, 09, 11——12 步。
0, 3, 3, 5, 5, 7, 7, 9, 9, 09, 10, 10, 11, 11, 12, 12, 14——16 步。
0, 3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 17——20 步。
0, 3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 13, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 20——24 步。
0, 3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 23——28 步。
0, 3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 17, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 26——32 步。
0, 3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 29——36 步。
0, 3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 30, 30, 32——40 步。

0, 3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 23, 23, 25, 25, 27, 27, 29, 29, 31, 31, 33, 33, 35, 35, 37, 37, 39, 39, 41, 41, 43, 43, 45, 45, 47, 47, 49, 49, 51, 51, 51, 52, ......

王守恩

最后留一道题——响应主帖。

2个2030两的酒瓶装满酒, 1个3两的杯, 均分给4个人——至少 4742 步。