The placed selector has a uniform reciprocal logarithmic valuation deficit

Write $L_n=\log n$, $s_n=n/\log n$, $y_n=\lfloor n^{2/9}\rfloor$, and $\mathcal P_{n,W}=\{p\text{ prime}:W<p\le y_n\}$. Fix patterns with head primes at most $W\ge2$, physical intervals and a guard ledger, $W\ge2d+1$, $c>0$, $0<\delta_*<1/18$, and real protected and active coefficients. Fix $\varepsilon>0$, $c_m>0$, and $A_0,C_d\ge0$. There is $C_{\rm init}\ge0$, chosen before $n$, the mesh, bank, or bridge, such that eventually every matching fresh bridge/source package with canonical guarded sample and synchronized smooth mass has

The explicit local assumptions are the prescribed coefficients, $0\le\alpha\le1$, $0\le\beta/L_n\le1$, nonempty guarded broad smooth pool, $|d|\le C_ds_n/L_n$, $q\ge c_ms_n$, and guarded zero-head-cell valuation means at most $A_0/p$ in each physical sign. The selector is the literal placed preselector from the fresh package.