Moving from 0 to 5: warmer.
Moving from 5 to 200: colder.
Moving from 200 to 100: found it!

Moving from 0 to 10: found it!

Moving from 0 to 20: warmer.
Moving from 20 to 40: warmer.
Moving from 40 to 60: same.
Moving from 60 to 50: found it!

Moving from 0 to 100: warmer.
Moving from 100 to 200: warmer.
Moving from 200 to 300: warmer.
Moving from 300 to 400: warmer.
Moving from 400 to 500: warmer.
Moving from 500 to 600: warmer.
Moving from 600 to 700: warmer.
Moving from 700 to 800: warmer.
Moving from 800 to 900: warmer.
Moving from 900 to 1000: warmer.
Moving from 1000 to 1100: warmer.
Moving from 1100 to 1200: warmer.
Moving from 1200 to 1300: warmer.
Moving from 1300 to 1400: warmer.
Moving from 1400 to 1500: warmer.
Moving from 1500 to 1600: warmer.
Moving from 1600 to 1700: warmer.
Moving from 1700 to 1800: warmer.
Moving from 1800 to 1900: warmer.
Moving from 1900 to 2000: found it!