Dice Roll Simulation - Problem Statement

Roll a die $n$ times. Face $i$ can appear at most $rollMax[i]$ times consecutively. Count valid sequences. State: $dp[roll][face][consecutive]$ = sequences after $roll$ rolls, last face is $face$, with $consecutive$ repeats. Transition: if new face differs, reset consecutive to 1.

If same face, increment consecutive (if within limit). improvement: instead of tracking consecutive, track $dp[roll][face]$ = sequences ending with $face$. Subtract invalid extensions.