# Puzzles/POY 1996

Puzzle of the year 1996: find phrases that generate each number i.101 , making no use of

• digits other than 1 9 9 6 in sequence
•  _ and __ and _. as numbers
• letters in numeric constants (e.g. 19r96 for 2 is prohibited)
• literal strings
• ?. or ?

The number of words in each phrase is to be minimized. (Word count is according to #;:y ). Where there are multiple phrases for the same number with the same number of words, phrases with fewer essential characters are preferred, and if those are equal, then phrases whose values can be worked out by hand are preferred.

Solutions:

``` 0  /: 1996
1  * 1996
2  # 1 996
3  # 1 9 96
4  # 1 9 9 6
5  # #: 19.96
6  {: 199 6
7  <. ^ 1.996
8  # #: 199.6
9  1 9: 96
10  >. {: 19 9.6
11  # #: 1996
12  1 #. 9 9 _6
13  +/ 1 9 9 _6
14  <. %: 199.6
15  #. * 1 9 9 6
16  +/ 19 _9 6
17  p: {: 199 6
18  <: {. 19 96
19  {. 19 96
20  #. 1 9 _9 _6
21  >. >: 19.96
22  +/ 19 9 _6
23  +/ _1 9 9 6
24  1 #. 9 9 6
25  _1 p: 99.6
26  -: #. 19 _9 _6
27  <: -: #. 1 9 9 _6
28  <. #. 19 _9.6
29  p: 1 9: 96
30  #. >. 1 9.9 6
31  <: #. 1 9 _9 6
32  #. 1 9 _9 6
33  <. #. 19.9 _6
34  +/ 19 9 6
35  >: +/ 19 9 6
36  <. 1.9 ! 9.6
37  >. 1.9 ! 9.6
38  +: {. 19 96
39  <. +: 19.96
40  >. +: 19.96
41  -: #. 1 _9 96
42  >: -: #. 1 _9 96
43  <: <. %: 1996
44  <. %: 1996
45  >. %: 1996
46  >. #. 19.9 6
47  <. #. 19 9.6
48  -: {: 19 96
49  *: <. ^ 1.996
50  +: + / 1 9 9 6
51  <: #. 19 _9 _6
52  #. 19 _9 _6
53  #. <: 1 9 9 6
54  <. *: ^ 1.996
55  <: #. 1 9 9 _6
56  #. 1 9 9 _6
57  <: #. _19 96
58  #. _19 96
59  >: #. _19 96
60  >. {. o. 19 96
61  p: p: {: 199 6
62  <. o. 19.96
63  >. o. 19.96
64  #. 19 _9 6
65  >: #. 19 _9 6
66  >: >: #. 19 _9 6
67  -: #. 19 96
68  #. 1 9 9 6
69  >: #. 1 9 9 6
70  >: >: #. 1 9 9 6
71  p: {. 19 96
72  >: p: {. 19 96
73  p: >. 19.96
74  #. _1 _9 96
75  1 9 #. 9 _6
76  <: +/ _19 96
77  _19+96
78  +/ p: 1 9 9 6
79  p: >. >: 19.96
80  <: <: #. 1 _9 96
81  #. -. 1 9 _96
82  #. 1 _9 96
83  #. >: 1 9 9 6
84  >: #. >: 1 9 9 6
85  <: +/ _1 _9 96
86  +/ _1 _9 96
87  1 9 #. 9 6
88  +/ 1 _9 96
89  #. >: 1 _9 96
90  1 #. q: 996
91  <: +/ _1 99 _6
92  +/ _1 99 _6
93  1 #. 99 _6
94  +/ 1 99 _6
95  <: {: 19 96
96  {: 19 96
97  >: {: 19 96
98  #. <. 1.9 96
99  <: #. 19 9 6
100 #. 19 9 6
```