'use strict'

const main = input => {
	const args = input.trim().split(' ')
	const n = Number(args[0])
	const a = Number(args[1])
	const b = Number(args[2])

	if ((a * n) < b) console.log(a * n)
	else console.log(b)
}

main(require('fs').readFileSync('/dev/stdin', 'utf8'))
