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D.12.3.44 multidimensional_knapsack

Procedure from library crypto.lib (see crypto_lib).

Usage:
multidimensional_knapsack(m,capacities,profits)

Return:
binary list of the positions of the elements included in the optimal selection

Example:
 
LIB "crypto.lib";
ring r = 0,x,lp;
matrix m[3][3] = 1,4,10,7,8,3,1,9,7;
list c = 12,17,10;
list p = 3,2,5;
multidimensional_knapsack(m,c,p);
==> [1]:
==>    1
==> [2]:
==>    0
==> [3]:
==>    1