Advent Puzzles 2014: puzzle 24 solution

Most numbers have several solutions. One solution for each total is given below.

1=1+2+2-4
2=4-1-(2\div2)
3=(4-(2\div2))\times1
4=1\times4\times(2\div2)
5=2\times4-1-2
6=12-2-4
7=2\times4+1-2
8=(2\times2)+(1\times4)
9=1+2+2+4
10=(2\times4)+(1\times2)
11=2\times4+1+2
12=2\times4\times(1+2)
13=2^{4}-1-2
14=(2^{4}-2)\times1
15=2\times2\times4-1
16=1\times2\times2\times4
17=2\times2\times4+1
18=2+4+12
19=2^{4}+1+2
20=42\div2-1
21=42\div2\times1
22=42\div2+1
23=1+24-2
24=24\times(2-1)
25=2+24-1
26=24+(1\times2)
27=1+2+24
28=2\times12+4
29=21+(2\times4)
30=42-12
31=2^{4}\times2-1
32=2^{4}\times1\times2
33=2^{4}\times2+1
34=2^{(1+4)}+2
35=(2+4)^{2}-1
36=12+24
37=(2+4)^{2}+1
38=2\times21-4
39=42-1-2
40=42-(1\times2)
41=1+42-2
42=42\times(2-1)
43=2+42-1
44=42+(1\times2)
45=1+2+42
46=(24-1)\times2
47=2\times24-1
48=1\times2\times24
49=2\times24+1
50=(1+24)\times2

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