18 U.S.C. § 111 (2000) (the maximum sentences permitted under § 111(a) were increased by the Federal Judiciary Protection Act of 2002, P.L. 107-273, tit. I, § 11008(b)).
To address Mr. Hathaway’s argument, we must first determine the elements of the offense or offenses proscribed by § 111(a). Specifically, we must decide if a conviction for an “all other cases” felony under § 111(a) requires an additional element, i.e., conduct constituting more than simple assault, beyond that required for a misdemeanor conviction under § 111(a). Our inquiry turns on whether the fact of the existence of non-simple assault for a felony charge is properly viewed as an element or a sentencing factor under § 111(a). “Much turns on the determination that a fact is an element of an offense rather than a sentencing consideration, given that elements must be charged in the indictment, submitted to a jury, and proven by the Government beyond a reasonable doubt.” Jones, 526 U.S. at 232, 119 S.Ct. 1215.
A. The Number of Offenses Proscribed by § 111(a)
In the Tenth Circuit, we have yet to consider this issue in the context of § 111(a). However, addressing § 111(b), we held in United States v. Segien, 114 F.3d 1014, 1020 (10th Cir.1997) that “bodily injury” was not an additional element but was instead just a sentencing factor. We relied primarily on the text and structure of the statute to conclude that Congress intended § 111(b) to be a sentencing enhancement provision. Id. at 1018. To ensure such a reading did not offend the constitution, we also considered the factors identified by the Supreme Court in McMillan v. Pennsylvania, 477 U.S. 79, 106 S.Ct. 2411, 91 L.Ed.2d 67 (1986). Id. at 1019. Though we recognized that a finding of “bodily injury” exposed the defendant to a threefold increase in the possible period of imprisonment, we essentially relied on the McMillan court’s failure to require that such a fact be treated as an element and not a-sentencing factor. Id. at 1019-20 (citing several cases holding that facts that exposed defendant to increased punishment were not elements, including United States v. Oliver, 60 F.3d 547, 551-54 (9th Cir.1995), which held that “serious bodily injury” and “death” were sentencing factors and not elements under the federal carjacking statute, 21 U.S.C. § 2119).
Though Segien’s holding was limited to § 111(b), its reasoning would appear to be persuasive in the context of the § 111(a) issue we now face. Although “[w]e are bound by the precedent of prior panels,” a “superseding contrary decision by the Supreme Court” always controls our analysis. In re Smith, 10 F.3d 723, 724 (10th Cir.1993). Therefore, like each of our sister circuits that have considered § 111 post-Jones, we now conclude that the Supreme Court’s reasoning in Jones and subsequent cases altered the proper analysis of § 111 such that Segien does not control the § 111(a) issue before us. See United States v. Arrington, 309 F.3d 40, 44-47 (D.C.Cir.2002); United States v. Yates, 304 F.3d 818, 821-23 (8th Cir.2002); United States v. Campbell, 259 F.3d 293, 296-98 (4th Cir.2001); United States v. McCulligan, 256 F.3d 97, 102-03 (3d Cir.2001); United States v. Chestaro, 197 F.3d 600, 607 (2d Cir.1990); United States v. Nunez, 180 F.3d 227, 233 (5th Cir.1999).
In Jones, the Supreme Court interpreted 18 U.S.C, § 2119, which imposed different punishments depending on the severity of the injuries suffered by victims of a carjacking, as creating three separate offenses rather than a single offense with, three punishments. 526 U.S.