construct/rlve integer linear system
construct/rlve integer linear system: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). Find integers x 0 , ..., x 17 satisfying all of the following 43 equations: 2 x 1 + 3 x 2 + 1 x 4 + 2 x 8 + 3 x 9 + 1 x 11 + 2 x 13 + 2 x 17 = 216 3 x 1 + 3 x 2 + 2 x 5 + 2 x 6 + 3 x 8 + 2 x 10 + 1…
The task
Find integers x[0], ..., x[17] satisfying all of the following 43 equations: 2*x[1] + 3*x[2] + 1*x[4] + 2*x[8] + 3*x[9] + 1*x[11] + 2*x[13] + 2*x[17] = 216 3*x[1] + 3*x[2] + 2*x[5] + 2*x[6] + 3*x[8] + 2*x[10] + 1*x[11] + 2*x[15] + 1*x[16] + 3*x[17] = 220 2*x[6] + 2*x[7] + 3*x[9] + 3*x[11] + 1*x[13] + 3*x[14] +…