Morris' Blog 我在摸索我存在的意義、生命的意義、內涵及價值。 沒有真正神手般的厲害，套用模式是大部分的情況。 沒那麼厲害的我存在的意義為何，襯托出神的存在？ 有時候不能怪別人不給我機會，我已經開始省思， 為什麼我沒有給別人機會的原因，而是全要靠別人。 有時候我認為我與眾不同，那是因為我做不到很多人能辦到的事情。 我聽不到、玩不起來、說得不夠明瞭、理解得不夠多， 我缺少的語文能力，就是一切一切無能的判定。 為此，我不曉得能做些對別人有幫助的事情。 我知道我自己是個不服輸的性格，但現在我不得不認輸。 我沒有能力，因此我必須認輸。 我到底來這世界作什麼？處處充滿不確定性， 而我總是無法出類拔萃，想當個一般人似乎也回不了頭了。 越強大的挑戰需要越強力的支持，而我的支持是什麼？ 最近嘗試與人談話，但都是失敗的結局，沒人能接受， 不需要言語，不需要溝通，一切所想都表達不出來。

49愛的鼓勵 6訂閱站台

Problem E
A Swimming Gopher
Input: standard input
Output: standard output
Time Limit: 2 seconds

A gopher lives in the flatlands of Northern Saskatchewan and travels frequently to see his cousins. After years and years of drought, there was a period of unusually heavy rains which resulted in all the ditches on the way of the gopher's travel being flooded with water. The ditches run in the West-East direction and each ditch is of a constant width. The gopher still wants to make his travels but being not a very good swimmer, he wants to minimize the distance that he has to swim through the ditches and with this requirement satisfied, he also wants to walk as little as possible on the dry land. Your task is to find the length of the gopher's route which minimizes his swimming and then his walking.

We are given a system of orthogonal coordinates, where the x axis is directed from West to East and the y axis is directed from South to North. Given are real numbers: D and L, 0 < L, L+L < D, such that a point (x, y) is on dry land if and only if there exists an integer n such that

n*D+L <= y <= (n+1)*D-L.

Given is the starting point of the gopher (x_s, y_s) and its target point (x_t, y_t). Both these points are on dry land.

Each line of input contains six real numbers: D, L, x_s, y_s, x_t, y_t. For each line of input, output one line with the needed information in the format shown in the sample output.

Sample input

100.0 10.0 0.0 50.0 100.0 50.0

100.0 10.0 0.0 50.0 100.0 150.0

100.0 10.0 0.0 -50.0 100.0 50.0

100.0 10.0 0.0 -50.0 100.0 150.0

Output for sample input

The gopher has to swim 0.00 meters and walk 100.00 meters.

The gopher has to swim 20.00 meters and walk 128.06 meters.

The gopher has to swim 20.00 meters and walk 128.06 meters.

The gopher has to swim 40.00 meters and walk 188.68 meters.

Piotr Rudnicki