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from __future__ import print_function

from pymprog import *

begin('test')

verbose(True)



x = var('x', 3)

r = group('R',

   '{name} is the bound for the sum of x[{0}]' 

   ' and its rotating next.') 



for j in range(3): print(r.desc(j))



for i in range(3):

    r[i] = x[i] + x[ (i+1) % 3] <= 1



x[0]+0.2 <= x[1] + 0.1 <= x[2]



maximize(sum(x[i] for i in range(3)))



#print(ncon())



solve()



for j in range(3): 

    print(x[j], r[j])



end('test')