A one-variable DP formulation with analytical overshoot correction and explicit truncation bounds computes expected dice-sum hitting times to 1017 decimal places for perfect-square targets.
Farahmand et al., Truncated approximate dynamic programming with task-dependent terminal value, inProceedings of the AAAI Conference on Artificial Intelligence30(1) (2016)
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High-Precision Framework for Expected Hitting Times Analysis in the Dice-Sum Process
A one-variable DP formulation with analytical overshoot correction and explicit truncation bounds computes expected dice-sum hitting times to 1017 decimal places for perfect-square targets.