Question: Here is some ciphertext that was produced with a Vigenere cipher: LVGPAZRLVZPQUERCTLFVRUMRQHSQDPUJNWGQWZIZOFWGJQDHLZMZPAZRIQRTQRJLBNBTSR QLYWRKBUUYIZRNQWUHKGZHTRVAFLHBGLDMODZKAMBQBPUTQKVWPTWFVVQ00VUHGRAOBPCJ QWTWDHBHIZQFKNVINWNPVWPUTQOAGBNIFARDVYKAASRZZQFVNGIVMDTRFBRGDCHQLJWAFY LSKIBCEWPUTQDNLVZMPUEHMTEUHUDANQZMLHTRWIPEDAYSZCOLVZPQSKDKZUURQOMZPQRB RZUXQBRGWTBAOGXJKATOCHLNIXZYLSKIFIAQMRIHSEBKUURCEWIHTQHHQVKTIWGKWABEAB NMCQFVCDVKTXSQZIRTEOAGNRWAFFWQRMPOAGKGZBSGHLVZAJVGMJEUHUSWRQEVRGKNIUFF DVJTAHFDVJTAHFRNVMSGSRZNIFGNQLIWMHFWPKPAPOLBCIETBQLUNHWFLBUZEHUHBAVZSY ZWAVPCADVJWZUBLVMNMWEOGHCFBBWYAQFSFWZGQSVGLVZWFVRVQJMATGKMNQXZGKMNQXZN VIRTFVRSMUXXSSRZSIZMZLTKADCHQLIIXZRGQZIZRZDVETUHGOMXWGBQGWUZECCHVKLAIG RNOBRWEVBUVABRVQJMMBQWPKVABNQWZPQFAROUQZUHSAZIUFFIWXBTSURJHQFPRGZUWYGO DBNZACZVKKTXOEVXGVFFVHARWFGBIBNMESJDZJZAPRVPKPMRJKWRMDCBPAJMHCGHLZWOZB WPKAWWGFPKVERVQQTODCBPAGTXKRUMUVFVRVISMRZBRZGVPWAGMKLABGKMYIYSCDAYISSG KMHMEHERWSAISEHIRTABGKMRMRHUDVJAURRJWOVSWAIWXBTSFHEKZQHUHWTTKCAHAZWTOI HEOVPCJVLKMBGRWZUCZRJLVJWIGYRWQQZUBYMXPUGTDZJMZOAGUKIPCJVJKGABQVTUXUBT

Here is some ciphertext that was produced with a Vigenere cipher: LVGPAZRLVZPQUERCTLFVRUMRQHSQDPUJNWGQWZIZOFWGJQDHLZMZPAZRIQRTQRJLBNBTSR QLYWRKBUUYIZRNQWUHKGZHTRVAFLHBGLDMODZKAMBQBPUTQKVWPTWFVVQ00VUHGRAOBPCJ QWTWDHBHIZQFKNVINWNPVWPUTQOAGBNIFARDVYKAASRZZQFVNGIVMDTRFBRGDCHQLJWAFY LSKIBCEWPUTQDNLVZMPUEHMTEUHUDANQZMLHTRWIPEDAYSZCOLVZPQSKDKZUURQOMZPQRB RZUXQBRGWTBAOGXJKATOCHLNIXZYLSKIFIAQMRIHSEBKUURCEWIHTQHHQVKTIWGKWABEAB NMCQFVCDVKTXSQZIRTEOAGNRWAFFWQRMPOAGKGZBSGHLVZAJVGMJEUHUSWRQEVRGKNIUFF DVJTAHFDVJTAHFRNVMSGSRZNIFGNQLIWMHFWPKPAPOLBCIETBQLUNHWFLBUZEHUHBAVZSY ZWAVPCADVJWZUBLVMNMWEOGHCFBBWYAQFSFWZGQSVGLVZWFVRVQJMATGKMNQXZGKMNQXZN VIRTFVRSMUXXSSRZSIZMZLTKADCHQLIIXZRGQZIZRZDVETUHGOMXWGBQGWUZECCHVKLAIG RNOBRWEVBUVABRVQJMMBQWPKVABNQWZPQFAROUQZUHSAZIUFFIWXBTSURJHQFPRGZUWYGO DBNZACZVKKTXOEVXGVFFVHARWFGBIBNMESJDZJZAPRVPKPMRJKWRMDCBPAJMHCGHLZWOZB WPKAWWGFPKVERVQQTODCBPAGTXKRUMUVFVRVISMRZBRZGVPWAGMKLABGKMYIYSCDAYISSG KMHMEHERWSAISEHIRTABGKMRMRHUDVJAURRJWOVSWAIWXBTSFHEKZQHUHWTTKCAHAZWTOI HEOVPCJVLKMBGRWZUCZRJLVJWIGYRWQQZUBYMXPUGTDZJMZOAGUKIPCJVJKGABQVTUXUBT GWCVFCGKMXQHSEWPOATCOEQZEMGNYMXGISYOBULAVBEJOBMBQKQYVMARZIYJMUTLVYBTSO DOMQZGRVPGLXWIHLOVFVRQMOOTPBXZNWARBIBNMTWYONUZFWZHWABATZLVJIZRCHWVTQQB QAOLQFRGBNMYJRUGXMEDRFBGJXSARBUVXMOHKGCESZRAZWRHUHUCMDSELKNJGHNOAUJQQN XAKBTSLQMBMDVNGITGMRIHVZCDSFRZJQPOABBNQZUHQMDXQQGHLEWGQBXTJBQZYZPGBMPN Assume that encrypting with the key letter A results in no change, B results in an increment by one place in the alphabet, C results in an increment by two places, and so on. What is the key? (Show your work.)
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