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Numerical
GATE CSE 2019
Let Σ be the set of all bijections from {1, …, 5} to {1, …, 5}, where id denotes the identity function, i.e. id(j) = j,∀j. Let ° denote composition on functions. For a string x = x1x2 … xn ∈ Σn, n ≥ 0, let π(x) = x1°x2° … °xn.
Consider the language L = {x ∈ Σ* ⏐ π(x) = id}. The minimum number of states in any DFA accepting L is _________
