The present invention provides thermostabile UvrA polypeptides, thermostable UvrB polypeptides and the polynucleotides that encode the UvrA and UvrB polypeptides. , thereby assisting preventing the ladder from lateral movement. This interval global optimization process applies term consistency to a set of relations associated with the function \u0192 over the subbox X, and excludes any portion of the subbox X that violates any member of the set of relations. When the count data signal indicates a value k, k-th output circuit of the M output circuits converts the first to N-th output signals to a first to N-th scanning signals, respectively, and outputs them to N scan electrodes of a display panel in order, respectively.