The ciphertexts in a separate text file have been obtained using the Affine, monoalphabetic substitution (random), Hill, Vigenere, and columnar transposition cipher, though NOT necessarily in this order.

Here is the plaintxt-ciphertext pair for the Hill cipher.

Plaintext: Let us go, then, you and i, when the evening is spread out.

Corresponding ciphertext: ULAIYE DCOMSB WQWRVE AWBYBD TQFAAV PHFVYN NHPZXR WFV

You need to provide a detailed explanation as to how you arrived at the solution (i.e., corresponding plaintexts)

Bigram Frequency in the English language: http://en.wikipedia.org/wiki/Bigram

Trigram Frequency in the English language: http://en.wikipedia.org/wiki/Trigram

(a) RTDHYL ESYZML WCWKYY FSIYWG HDJWVY TKZKHU TWBJMT LTUKMY BSCQGS DSZXCH LEOQOI TDJUGZ UENLOA AERVLL NPCVGV BAJAUE IGZWXA GBQFVZ ESLUYF XCNKCC JUNHAV PJTZBO KOSTLS VYRAIK ZRNFFK MCFGFQ QSPWML AEHMMK RTGIRA NVUTDX YZBETE WYRNIX AKSQMZ CDUKCH SGMOCY RUDIGW KCCTIX JKWMSJ LTUTAS HIOVTZ AXSYMJ HBTSDT FWFUYZ IZSBPD IJBAKY WWVYJV ZZBWML AEHXGG MEIBUT BUVHWR CQWRBL AMWKWY VLZFGF XJYEGF ARXEWN YONZWN VBSBWH BAJLTU VTTKMF FOEFYD YMJHBT SDTFWF UYZXGZ JWIDYR EGPTZT QUGWOH GWDGJO JMTIGI XQNEKF WUWFSI TKZAHG ENWOUG AHELXV MENBFZ DXHRAH YPQCIV LYXCCI LTUIGW KCCPQJ DFTMZI QDMEGK SMUUOV PGEASO WOFLTU VNVZTT GIRNAR UUVAMW DHTJML JBWJHB DYRTVV RCPCUV NEUTWL BRCSCU IMTRSQ ZZBSIF ZTTXFM BCZCDA JMTBAJ AUEIGZ LNBYGD BPRNUP IQFBBV PXLTQM YEVHFX YBDXUF AUPCVS RSQAHI YCWWML AEHHOR WGMARX OUORNV HJVWNE OYNNEU GKZOSP MTAQKE RCPCUV XYLTXB RULTBH EWSMCY EHYWII CEPLNX GQFQUG DHTEGF HQT (b) VHUGDV QDCCNQ UMUNYV HVYVTD UGDKYN JHUNCE KUKUGK UYJMUF DQDRNI DQDEKH EUNYKX DUGDVQ DOKYVH KUVNHM YNQDDC CVRVDH UKHEDC CDRUVI DRNYZJ UDQCNQ DHMVRM RVDHUV MUMYJM UGKIDM ZDRVCV RXHNPS DEBDNC VHIDMU VBKUVI DEDUKV SMUGVM VMKRSD KQQDAJ VQDYDH UUGKUV MBDHDQ KSSLYN QDEDYK HEVHBU GKHUQK EVUVNH KSCNQD HMVRMR VDHRDQ DAJDMU MKHEVU ZSKRDM YNQDQD SVKHRD NHRKMD VHCNQY KUVNHR NJQUMK QDQDAJ VQVHBU GKUYNQ DVHCNQ YKUVNH QKUGDQ UGKHDA JVZYDH UFDMDV TDEUGV MQDAJV QDMRNN ZDQKUV IDDCCN QUMFDU PDDHSK PDHCNQ RDYDHU NCCVRD QMKHEU GDRNYZ JUDQCN QDHMVR MRVDHU VMUUND HMJQDU GKUUGD UDRGHV RKSQDM NJQRDM HDRDMM KQLCNQ UGDDOD RJUVNH NCUGDM DKQRGP KQQKHU KQDMJC CVRVDH UUNKEE QDMMFN UGUGDM RNZDKH ERNYZS DOVULN CUGDMD KQRG (c) IMIEOR EAAYKA LAORHV ERUSHS GOEPEM ROBYUW LLTTIE XORSAR OTSOOT ULDEHH IEDHSN UXCEBS SNTRNO KNMNTC ORYOIE TEITNA ICNETA DOTCEN OOEHME SCYNSW RORSUP RRAEES SPTEEN ESONPE ESHPOY TSRARN IOEENS IMPRLN GEGESE STESTF MSEEPT RSSNIN SDEEAS TMRIIY HDTKTR IHATEL EHLTTH NYBIAH IOADYO PSLADW RNTLRS TCEWIB UTYNKO LOHTER TCAHTN SIRMAM INEESN TEHHHC USEESI ROENOY ESEFHV REITOT NHCSFA EFTETA RLAYBO EIAHKR KYGEOE OANMIC TRNIWA TONNDW TGATIO TNTEPH YTSEAE UIUTSO NHSLMA NLETOL CURESH ESRMYO DSLTRI EOEKDO HSLTSW MASNAA TNINSC LOHLAM FPHMOS CHLGHT OEREOE TIRRRM SETNYE TOPBDI THELUE TICAAT TAOREW YTWDEN MEFEYT DOYIEP IILROI NTTULR LONORE RTSSET UIRAOI SERTAA EFSLTA ATEAPT YEHTMY PFITIS MWYTFI HYSMOI LBEOAI RPEPEE TGHOON EIAFEH WIMUSR SIOEEL NRDWTU ENHEDB CWRLBC SASIDA TTSINE YETTAE SEHMTO SORDON MTAEVN ATONTW NUNAOO SIIEED ADEAEA FEITHT AEIRIE SOEUZC TENVDS TUNNTB EMONTE DEROVE TAOHYA TSITCI NNVESD EPPDDS ETHATS AUMHNL RHTGIR LIAYAS (d) QMEDKT YLCMPT SILYOC PLYUKY VTNAHY NOBYLY HSOTXB KNVYLI ZONOTO YCTXIT ILYVMT HOCQMB YLYHKV TONIPT YLTXYC MPTSIL YXICZY YVOVCT INNYHI VHDKTT MKCYCQ MLYCMP CYQKLO TASYIW VYCCYC XIBYZY YVPMKV HOVTXY EMCTDM DKNILC ACTYEC OVQNKH OVGTXY BILOMK CBYLCO MVCMPK VOJIVH EOQLMC MPTSOV HMSCTX YDLMZN YEOCVM TVYSYI LNAMDY LITOVG CACTYE CSYLYL OHHNYH SOTXCY QKLOTA PNISCV MLXICO TOEDLM BYHEKQ XHYCDO TYTLYE YVHMKC IHBIVQ YCOVQM EDKTYL CQOYVQ YIVHCM PTSILY YVGOVY YLOVGC ACTYEC ILYCTO NNHYNO BYLYHS OTXTXY CIEYTA DYCMPP NISCPM KVHOVT XYYILN ACACTY ECPMLY JIEDNY ZKPPYL MBYLPN MSSYIW VYCCYC IVHDMM LNAQXM CYVHYP IKNTCO COTLYI NNATXI TXILHT MZKONH CACTYE CTXITI BMOHTX YCYDLM ZNYEC (e) MJKQVN BQYGXM RBBHXT LOCPRW BXKLPY RNACTC JYSZKU UZKINC XCTXKD BUTPNI IERDTV ZBVOYT VMUZRY BFLGAM VDFNTP JINZYZ TFIIDB YPMGGJ GXVNTV OIEENY WWVAIM QPLVUY OUFEBP MJROXL ZGYUSA HEYKBY PQNCLC MILERC LNUMKG CEHVNL VQGSHW YUEPQZ ENGLJU ALLEGG GQEAXV XUKQQE ATUOXT CZKPUA IMCSBE CYSEVE XUIUCX ROLGDS XUEWLF UNTAZD NTLYIE JPKGZI CPGSTV ZIJQRE AGTOUQ CSHVUM KTRJGG KXVPND IGICRX VXTIKP ZQJPKY NCTTPZ NNJVVA OETKTY UNLNEK IEZZTZ GCRCEW BYVGJI NZYZTF KXKTRE KQPUET BCLGZO IZROMJ KMFGAO HHLNYQ HDXTYG FPRXWK YWFZAP VVKXZF SCHOZB VXBNTN OHKQEY XVYYIH VNXRXI MUQPKC TXIQPZ GPKWKQ QTMVUU GTBYXP AGSQET GOUFUM ITTKTM FHVPMW TCFZ