The current code will generate a mapping $($that is$,$ a

dictionary$)$ based on a seed and an upper bound values provided by the user. Your task is to process the

list of cycles based on the generated mapping and the reversed dictionary as described below.

expected output:

Enter two integers: $1238$

The generated mapping is:

$\{1$: $11,2$: $13,3$: $38,4$: $38,5$: $6,6$: $36,7$: $9,8$: $37,9$: $4,10$: $9,11$: $36,$

$12$: $6,13$: $3,15$: $29,16$: $8,17$: $13,19$: $22,20$: $3,21$: $38,22$: $33,24$: $12,25$:

$4,27$: $11,28$: $23,29$: $22,30$: $3,31$: $11,32$: $17,33$: $9,34$: $26,35$: $30,36$:

$31,37$: $22,38$: $37\}$

The keys are, from smallest to largest:

$[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,19,20,21,22,24,$

$25,27,28,29,30,31,32,33,34,35,36,37,38]$

Properly ordered, the cycles given by the mapping are:

$[[4,38,37,22,33,9],[11,36,31]]$

The $($triply ordered$)$ reversed dictionary per lengths is:

$\{1$: $\{8$: $[16],$

$12$: $[24],$

$17$: $[32],$

$23$: $[28],$

$26$: $[34],$

$29$: $[15],$

$30$: $[35],$

$31$: $[36],$

$33$: $[22]\},$

$2$: $\{4$: $[9,25],6$: $[5,12],13$: $[2,17],36$: $[6,11],37$: $[8,38]\},$

$3$: $\{3$: $[13,20,30],$

$9$: $[7,10,33],$

$11$: $[1,27,31],$

$22$: $[19,29,37],$

$38$: $[3,4,21]\}\}$

getting output:

Enter two integers: $1238$

The generated mapping is:

$\{1$: $11,2$: $13,3$: $38,4$: $38,5$: $6,6$: $36,7$: $9,8$: $37,9$: $4,10$: $9,11$: $36,12$: $6,13$: $3,15$: $29,16$: $8,17$: $13,19$: $22,20$: $3,21$: $38,22$: $33,24$: $12,25$: $4,27$: $11,28$: $23,29$: $22,30$: $3,31$: $11,32$: $17,33$: $9,34$: $26,35$: $30,36$: $31,37$: $22,38$: $37\}$

The keys are, from smallest to largest:

$[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,19,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38]$

Properly orderes, the cycles given by the mapping are:

$[[11,31,36],[4,9,22,33,37,38]]$

The $($triply ordered$)$ reversed dictionary per length is:

$\{1$: $\{8$: $[16],12$: $[24],17$: $[32],23$: $[28],26$: $[34],29$: $[15],30$: $[35],31$: $[36],33$: $[22]\},2$: $\{4$: $[9,25],6$: $[5,12],13$: $[2,17],36$: $[6,11],37$: $[8,38]\},3$: $\{3$: $[13,20,30],9$: $[7,10,33],11$: $[1,27,31],22$: $[19,29,37],38$: $[3,4,21]\}\}$