think加不定式吗It's luck I thought to look for you here on the pl

think
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vt.
1.想;思索[+wh-]
Think how much you can earn if you open a restaurant in such a good location.
想一想,要是你在这样的黄金地段开一家餐馆,你会赚多少钱啊.
2.认为,以为[O8][O9][+(that)][O2]
We thought it our duty to take care of the orphans.
我们认为照顾这些孤儿是我们的职责.
They thought the novel worth reading.
他们认为这本小说值得一读.
I think he will come.
我想他会来的.
3.(常与cannot,could not连用)想像;理解[+wh-]
I can't think what you mean.
I can't think why they left without saying good-bye.
我不明白他们为什么不告而别.
4.记忆,想起[+wh-]
I can't think what his phone number is.
我记不起他的电话号码是多少.
5.想要,打算[+to-v][+(that)]
At first he thought to tell her,then he changed his mind.
他原来打算告诉她的,后来改变主意了.
6.预料,料想[+(that)][+to-v]
I didn't think to land myself in trouble.
我没想到会使自己陷入困境.
vi.
1.想;思索[(+about)]
Think before you leap.
先思而后行.
2.认为
Do as you think best.
你认为怎样最好就怎样去做.

幸好我决定来台上找你。
To将来时，to do something 要做某事

think to do something 想到要做某事
这句意思是幸好我想到要来站台上找你。言外之意我在这找到你了。

这句话的意思是：幸好我想到要来平台上找你。
这里的think一词应该是think up的意思，就是想出、猜到、考虑到
同样的用法还有例句 你可以体会一下：
I didn't think to find you here.
我没想到在这里遇到你。
He thinks to escape punishment.
他企图逃脱惩罚。
但一般的...

think to不是连在一起的词组，这里的I think是连在一起的，作为插入语，这个句子主干应该是“It is luck to look fro you here ...”,并且这个句子还是it作为形式主语的用法，真正的主语是to look for...这个不定式短语