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.
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.