// Run turing machine 'tm' on tape 'tape' from state 'state'. Return number of
// steps taken until halt.
constexpr unsigned run(const State *tm, const Tape &tape, unsigned state) {
- return state == halt ? 1 :
+ return state == halt ? 0 :
run(tm, move(update(tape, tm[state][tape.val].tape),
tm[state][tape.val].dir),
tm[state][tape.val].next) + 1;
}
-// 3-state busy beaver. 14 steps.
+// 3-state busy beaver. S(bb3) = 21.
constexpr State bb3[] = {
- { { true, R, 1 }, { true, L, 2 } },
- { { true, L, 0 }, { true, R, 1 } },
- { { true, L, 1 }, { true, R, halt } }
+ { { true, R, 1 }, { true, R, halt } },
+ { { true, L, 1 }, { false, R, 2 } },
+ { { true, L, 2 }, { true, L, 0 } }
};
-static_assert(run(bb3, Tape(), 0) == 14, "");
+static_assert(run(bb3, Tape(), 0) == 21, "");
-// 4-state busy beaver. 108 steps.
+// 4-state busy beaver. S(bb4) = 107.
constexpr State bb4[] = {
{ { true, R, 1 }, { true, L, 1 } },
{ { true, L, 0 }, { false, L, 2 } },
{ { true, R, halt }, { true, L, 3 } },
{ { true, R, 3 }, { false, R, 0 } } };
-static_assert(run(bb4, Tape(), 0) == 108, "");
+static_assert(run(bb4, Tape(), 0) == 107, "");