Definition: In this task, you're given a question, along with a context passage. The passage will not have a direct answer to the question, but can include some information and a clue for the answer. Assuming you can only obtain information about one entity in the passage, your job is to determine whether information from the passage can be used to answer the question. Indicate your choice as `a` for Yes or `b` for No.
Input: Question: How many lives had been lost in the Mexican-American war by the year the 1st South Carolina Volunteer Infantry was created? Passage:The 118th Infantry Regiment traces its lineage to the year 1846, when the 1st South Carolina Volunteer Infantry was organized for duty in the Mexican–American War. Company E, "Johnson's Rifles", lives on today as 4–118. During the American Civil War, the 1st South Carolina Volunteer Infantry was reorganized into units of the First Corps, Army of Northern Virginia, under General James Longstreet in 1861. The battalions of the South Carolina regiment first saw action at the First Battle of Bull Run, where the Union Army was defeated. They next fought in the Peninsula Campaign, and eventually had to retreat from General George B. McClellan's forces at the Battle of Williamsburg in mid-1862. Shortly after, the South Carolinians fought again at the Battle of Seven Pines, where the Union advance on Richmond, Virginia was stopped even though the Confederate forces did not deliver a decisive defeat. Longstreet's Corps recovered from the losses of the Peninsula Campaign and defeated the Union at the Battle of Gaines's Mill 26 days later, and followed the victory by decisively defeating the Union Army in the Second Battle of Bull Run. The battalions of the original 1st South Carolina took part on the Battle of Antietam on 17 September 1862, the bloodiest single-day battle in American history, with a combined tally of 22,717 dead, wounded, or missing.


b