construct/rlve integer linear system
construct/rlve integer linear system: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find integers x 0 , ..., x 11 satisfying all of the following 26 equations: 2 x 0 + 2 x 3 + 2 x 5 + 1 x 6 + 1 x 7 = 44 2 x 1 + 2 x 2 + 1 x 7 = 41 1 x 1 + 1 x 5 + 1 x 10 = 24 2 x 3 + 1 x 4 + 2 x 5 +…
The task
Find integers x[0], ..., x[11] satisfying all of the following 26 equations: 2*x[0] + 2*x[3] + 2*x[5] + 1*x[6] + 1*x[7] = 44 2*x[1] + 2*x[2] + 1*x[7] = 41 1*x[1] + 1*x[5] + 1*x[10] = 24 2*x[3] + 1*x[4] + 2*x[5] + 2*x[7] + 2*x[9] + 2*x[11] = 93 2*x[0] + 1*x[1] + 1*x[2] + 2*x[5] + 1*x[6] + 1*x[8] + 1*x[9] + 1*x[11] =…