function main(input) {
    const args = input.split(' ');
    const n = parseInt(args[0], 10);
    const a = parseInt(args[1], 10);
    const b = parseInt(args[2], 10);
  
   console.log(Math.min(n * a, b))
}

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