i have a plan to walk to Beijing to see Olympic Games看看有没有语法错误

the Olympic Games
要有定冠词。

I plan to see the Olympic Games in Beijing on foot

.....怎么说呢,从语法的角度来说是没错的,但不是最常用的用法吧.
可改为:
i am to walk to Peking to watch the Olympic Games.
或者
I am walking to Peking to watch the Olympic Games.

如果改作以下两种方式会更流畅
i plan to walk to Beijing to see the Olympic Games
i have a plan， which is to walk to Beijing to see the Olympic Games

I have the plan to walk to Beijing to see the Olympic Games.
我有一个想法是走到北京去看奥运会.

I have the plan to walk to Beijing to see the Olympic Games.
你的计划非常具体，不宜用a这种不定冠词
奥运会要加the，专有名词
句首要大写，后面要有句号

太多了。好好看看吧