predicate all_different_int(array [int] of var int: x);predicate count(array [int] of var int: x, var int: y, var int: c);predicate fixed_cumulative(array [int] of var int: s, array [int] of int: d, array [int] of int: r, int: b);predicate global_cardinality(array [int] of var int: x, array [int] of int: cover, array [int] of var int: counts);predicate maximum_int(var int: m, array [int] of var int: x);predicate minimum_int(var int: m, array [int] of var int: x);predicate sliding_sum(int: low, int: up, int: seq, array [int] of var int: vs);predicate sort(array [int] of var int: x, array [int] of var int: y);predicate table_bool(array [int] of var bool: x, array [int, int] of bool: t);predicate table_int(array [int] of var int: x, array [int, int] of int: t);predicate var_cumulative(array [int] of var int: s, array [int] of int: d, array [int] of int: r, var int: b);var 2..4: adams;var 2..3: amanda;var 1..3: brookes;var 1..3: cooper;var 2..5: darling;var 2..4: hillary;var 1..5: jane;var 2..5: kate;var 3..4: miller;array [1..5] of var 1..5: last_names :: output_array([1..5]) = [brookes, adams, darling, cooper, miller];var 2..4: sylvia;array [1..5] of var 1..5: first_names :: output_array([1..5]) = [jane, sylvia, hillary, kate, amanda];constraint all_different_int(first_names);constraint all_different_int(last_names);constraint int_lt(adams, miller);constraint int_lt(amanda, hillary);constraint int_lt(amanda, kate);constraint int_lt(brookes, hillary);constraint int_lt(cooper, adams);constraint int_lt(hillary, darling);constraint int_lt(sylvia, adams);constraint int_ne(jane, brookes);solve satisfy;