Input (grade 5): Ludwigsburg is a city in Baden-W Ã 1\/4 rttemberg, Germany, about 12 kilometers (7.5 miles) north of downtown Stuttgart, near the river Neckar.
Output (grade 9): Ludwigsburg is a about 12 km northern city in the center of Baden-W Ã 1\/4 rttemberg, of the Stuttgart city center.