by Jennifer Berk, Marisa Debowsky, Jesse Gelles, Dan Katz, Nancy Taubenslag, and Julia Tenney
Answer: CHEVINGTON CHEESE
Problem: Thanksgiving Town/​President’s Day Town

The long string of letters can be broken into thirty-two substrings, each of which arose from a two-word phrase in which both words start with the same trigram (or in other words, “tri, tri again,” as the title implies). In each case, that trigram appears in the list of trigrams below the string. For each phrase, that repeated trigram has been deleted, as has one additional letter.

StringTrigramPhraseLetter
EENPINGSCR[SCR]EEN [SCR](A)PINGA
NARDOTOLUCIBER[BER]NARDO [BER]TOLU(C)CIC
ENABLESPOT[POT]EN(T) [POT]ABLEST
LPINGAXIESGAL[GAL]L(O)PING [GAL]AXIESO
LEUSEFICAUMMAL[MAL]LEUS [MAL]EFICA(R)UMR
TARIANVESALISTUNI[UNI]TARIAN [UNI]VE(R)SALISTR
LOGETICSTROPEAPO[APO]LOGETIC [APO]STROP(H)EH
RIXHEMTICSMAT[MAT]RIX [MAT]HEM(A)TICSA
WARZANOLARSSCH[SCH]WARZ(M)AN [SCH]OLARSM
RRANGEMNTCTIONREA[REA]RRANGEM(E)NT [REA]CTIONE
ABAASIFORNIACAL[CAL]ABA(S)AS [CAL]IFORNIAS
TAINSGHESTBRI[BRI]TAINS [BRI]GH(T)ESTT
LOYEEOERMENTEMP[EMP]LOYEE [EMP]O(W)ERMENTW
HONRABLECHARGEDIS[DIS]HON(O)RABLE [DIS]CHARGEO
OSTHERSBRO[BRO]O(K)S [BRO]THERSK
TLANDEDOGSHE[SHE]TLAND [SHE]E(P)DOGP
HLASKLEBYNIC[NIC]H(O)LAS [NIC]KLEBYO
RNEDGELEA[LEA]RNED [LEA]G(U)EU
TINETALGRESSCON[CON]TINE(N)TAL [CON]GRESSN
KYARORIC[RIC]KY [RIC]AR(D)OD
BIDDENETFOR[FOR]BIDDEN[FOR]E(S)TS
TTLEHAKSSEA[SEA]TTLE [SEA]HA(W)KSW
ALLELKIGPAR[PAR]ALLEL [PAR]KI(N)GN
ATIONBLOERHOR[HOR]ATIO [HOR]NBLO(W)ERW
MRCKKESHA[SHA]MR(O)CK [SHA]KEO
TICHIELAGOARC[ARC]TIC [ARC]HI(P)ELAGOP
RLIELINCHA[CHA]RLIE [CHA](P)LINP
CTRILERTRA[TRA]CT(O)R [TRA]ILERO
TAYDOMFAN[FAN]TA(S)Y [FAN]DOMS
PLESNSELNGCOU[COU]PLES [COU]NSEL(I)NGI
IORAORSEN[SEN]IOR [SEN]A(T)ORT
NEVRREVERWHE[WHE]NEV(E)R [WHE]REVERE

The extra letters, in string order, spell ACTOR RHAMES TWO K POUNDS WNW OPPOSITE, which is a series of three clues that resolve to VING / TON / ESE. One trigram in the list, CHE, has not yet been used; when CHE is inserted into the clued string twice, it produces the answer to this puzzle, CHEVINGTON CHEESE.