Policeman and Thief

A town consists of 3 horizontal and 3 vertical roads, separated by 4 square blocks. A policeman and a thief are running along the roads with speeds of 21km/h and 10km/h respectively. Show that the policeman has a strategy ensuring he will eventually see the thief.

Remark: The policeman can see the thief if they are on the same road at some moment. He has no idea about his position at any time.

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