[Help-glpk] power of: calculate 2^x from variable x

[malekro]

hello,

i am trying to calculate 2^x from a variable x. i already spent several
hours and with the help of archived posts i thought i have the solution.
unfortunately i cannot figure out why the code below returns an empty result
or malforms the x variable, i think the idea is correct.

set R := {0..3};
set C := {0..2};

# the given numbers that need to be powered by 2
var x{R}, integer;

# temporary table, each row will later be used for multiplication with 2^c
var t{R,C}, binary;

# the desired solution 2^x
var s{R}, integer;

# set the x-th cell in temporary row to 1, rest 0 
s.t. c1{r in R}: sum{c in C} t[r,c] = 1; # exactly one 1 in row
s.t. c3{r in R, c in C}: c * t[r,c] = x[r]; # set the x[r]-th cell to 1
s.t. c2{r in R}: sum{c in C} c * t[r,c] = x[r]; # verification so t[r,0] !=
1 if x[r] > 0

# multiply the c-th cell of the temporary row with 2^c
s.t. c4{r in R}: s[r] = sum{c in C} (2 ** c) * t[r,c];


i would be grateful for any help.

thanks,
manuel
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