N.H. Rev. Stat. Ann. § 659:64

If a ballot is marked for any office in a way which does not readily admit of counting or if a disagreement over how to count the ballot for any office occurs among the election officers present and counting votes, then the ballot shall be counted for that office in accordance with the majority vote of the election officials present and counting votes; provided that, if no alternative count receives a majority vote, the ballot shall be regarded as defective for that office as provided in RSA 659:65.