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You do of course need to check the Tenancy Agreement for the end date, but as you have signed a 12 month Contract, you are legally bound to pay the rent up to the end date, unless there was a break clause in the Agreement, allowing you to leave early and you have given the correct notice to allow this break clause to operate. If there is no break clause, you are responsible to pay the rent up to the end date, even if you vacate the property early or have given notice that you would like to leave early.
Sorry this may not be the answer you were looking for, but it sets out th legal position.
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