'having entered' vs 'to have entered'

[Maggie]

Hi,guys

They lost all their money and jewelry. The thief was believed ____ through an unlocked window.

(A)to be entering (B)having entered (C)to have entered (D)entering

The answer is (C).

I am thinking may I choose (B)?

Could you explain what's the diffrence between 'having entered' and 'to have entered' here?

Thanks in advance.

Maggie
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[Mister Micawber]

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Sorry, Maggie-- B is no good. 'Believe' + -ing verb form does not work in English.
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Native English teacher at Mister Micawber's

[Maggie]

Thanks MM.

Maggie^^
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In my view,the more mistakes someone else corrects me,the more I could learn.
And welcome to my blog: http://0rz.tw/793HL