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Without a fix, the dense part of the phase diagram cannot be computed directly.","posed_since":"","precise":"Compute the pressure $P(T,\\mu_{B})$ and the chiral transition line of $2+1$-flavor QCD at physical quark masses for $\\mu_{B}/T$ between 3 and 6 with controlled continuum extrapolation, despite the complex fermion determinant. Answer: $P$ and $T_{\\mathrm{pc}}(\\mu_{B})$ with percent-level uncertainty, by any method (reweighting, Taylor expansion, imaginary $\\mu_{B}$, complex Langevin, Lefschetz thimbles) validated against established results at $\\mu_{B}/T<2$.","problem_ref":null,"references":"","settled_by":"An algorithm with cost polynomial in the lattice volume, validated against established results at $\\mu_B/T < 2$ and applied at $\\mu_B/T = 3\\ \\text{to}\\ 6$.","status_note":"","title":"QCD equation of state at large baryon chemical 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