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float offset_quad_predict(weight* weights, feature& page_feature, v_array<feature> &offer_features, size_t mask, size_t offset);
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void print_offset_audit_quad(weight* weights, audit_data& page_feature, v_array<audit_data> &offer_features, size_t mask, size_t offset);
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void print_offset_quad(weight* weights, feature& page_feature, v_array<feature> &offer_features, size_t mask, size_t offset);
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void print_audit_quad(weight* weights, audit_data& page_feature, v_array<audit_data> &offer_features, size_t mask);
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void print_quad(weight* weights, feature& page_feature, v_array<feature> &offer_features, size_t mask);
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float single_quad_weight(weight* weights, feature& page_feature, feature* offer_feature, size_t mask);