1) Prove the statement "信和中心任何一層樓都不可以走遍整層而不重複走過任何一條路" or give a counter example.
2) Does the result of (1) change if "信和中心任何一層都" and '整層' are changed to "信和中心的地下和一至三樓" and '四層' ?
3) If you can alternate the direction of any escalator, will the above results change?
You may consider any corner or any path without shop between escalators as point.