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function [b, mpe] = back1_mpe(engine, bfuture, f, ev1, t)
if t ~= 1
error('mixed up time stamps')
end
bnet = bnet_from_engine(engine);
ss = bnet.nnodes_per_slice;
maximize = 1;
int = engine.interface;
D = engine.in_clq; % from J2
C = engine.int_clq1; % from J1
phiD = marginalize_pot(bfuture.clpot{D}, int, maximize);
phiC = marginalize_pot(f.clpot{C}, int, maximize);
ratio = divide_by_pot(phiD, phiC);
f.clpot{C} = multiply_by_pot(f.clpot{C}, ratio);
[mpe, b.clpot] = find_max_config(engine.jtree_engine1, f.clpot, f.seppot, ev1);
for c=1:length(b.clpot)
[b.clpot{c}, ll(c)] = normalize_pot(b.clpot{c});
end
b.t = t;
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