input = "rnttlvtttmnmpmhpmmzvmmhpmmnrntnnsnrnndvnddmbbtptssjcczmmbwmbmwwmmflfggwzzhjjgppwrwdwqwbbbmwbwgggqccmlmdmgdgqgpqgpgzzndddgdbbsvvfsfppwjwzjjcnjccwrwrprgppbpddnccjggfrggqngqgdqgddvsshqhmqqfvqvlvwvnwwmccrpcczvcczzgsgwwlggqsggmdgglblpblltbbzrbzzcscgccwssbddsmddzzvvhjjwjwrjwrwfftmttplldnllqttdhddmvdmmhsmsmqsqwqpqbpqppqdppbnpnhhppjbbrzrbrggdbddnrdrzrdrpdppzzfzrzgzllwlwzlllwtltslttlmtmqqbbzmzhmmjjwrjrrnzrzhzmmtbbrppmmfddjhdjdsdllrbbpfphpzpwwjvwwdpwpzwwzrrfnfwwfbbpttzjtjptpvvsfvvljjrzzmdmsddpvpgvvdcdwcwhwghwggrjjhdjhddzhhwbhwbwwbrwwrfrmfrfvrfftzzqrzqrqtrqtrqtrqttgctclcwlwwvqqnlnqlnnndmnmggznzhzqzggzrzbbrwbrwrvvscvvmvhmvvbsbjsjfjpfpqpbbbbjtjptpprnndpnnrsswffmnnjhhpqhqwhhbwhbhgbbfrbrjjpmjmzzdzjdjffcvvtwttrrcscvcncqcfcwwpgpfptpcpspllcfcssgbglgdllcdcmcpcqclctcvtvvbhbbdhhczhzshzhbhchzchchlcllwswqqmpmbbqwwzgzhggczgzffsgggjjlcjjpnjjfqjfjvfvrfrlrvvpfpcfcbffnmfmbmbgggplldblddvcvjcvvmbmmmrvrvvnhhqttgdgvdgdqgddcsclljplpbbsvbsbfsffshsgslsllzztggttfccctwtswwrvwvnnfbnnvjnvvlgvvfppmvpmmvpmmcttjffgsffcllncntcncfclcgcppvdvpvrvbrrnnvrvhrvrzvrvnrvrdrnrqrnngsshqhcqqbfqqzmmmzjzqztznttjffqzfqfbqqsggclgclcddtqqdppbjppqvpqvvmqmqnqcnqcqcqvqjqzqbzzbrrgfgddgtgnnpjjbzjjbbtstzszwswggfffmnnpllfvvnwnpwpqwqwlllqlmmzcmcrcmrcmrcrffnrnssjjrdjjwwqgwqgqdggwzwjzzbfbpptctchthbbbqsqggrllldwdffvwwlrwwljwjnncmmjmvjmmqnnmrrgjgvvpqqbppqlpqllqnqdndwwlppcjcdjjcnnmddffgjjrwjrwjjhvhqvhhfssrtsrsgrrwjwhhbqqpzzrdrhrqhrqrprqqmllsszhzllcdllpmpbbmsmjjmwmssvlslwwmtwmmgvgcvggzcgzgddsjsjfsssftfcchhfmfcmcpcpvcppqggjddljjbttwrrhghqggpghgngzngznnzqnnssqlqmqbmmmqdqqhttnqqjhhphrhccbggmjjpwpbwpprdrvvjzvvtctzzmpphwpwdpdvvhbvvdvsdsjdjbdjdljjstswttnhhbfffmnngddlglqggvzvlzvzqqvbqbvbjbnjjsvjjwpjjzshrdtrjttvqnbltrfpvnztrwzrtgjpzgqdjfglqgjrgdzbhqpghdbfhlfjhbfjfjppfgljmgwljlsbmltgztthnzvdrgqlgddvqhzctdgcphfqvnpjjgzwqfvnhvzdrwtpgfdjpqnfshslqmplcprdntnhqqbqptwzvdddhcjcqrfhjqnjvpnhttblwgjwlfwntdchgfjmdbgtqtdgnzbqwzzcltwtmtqtdbvjtfvlzpcvgmrfqwfhwqmhvwhftzgmhshffnjwqbvztszsrrglqvhfpqmbnqjsfnwdwgdtmztbvqrmztfctmvptbwnfzfgdztjgnqsrsqqqnrpgzsqszzwwwgqnnnrdzhzdbqjgbvncprzcjqchzfgnclbrmphbsdwwpvwjwlbshhgjfbhjjtdqrmrcjfnrrhqrpsbglthzpvfglqspttdpwlljhnlrjpzchbrqcgtmcscjnwvpztfjdcwbnbgmbpgdthgnhbrtwftnscbsrndghbslflpcpjwbcjnhzcwdcslmzqbtrlnzmntlpjcsctnsqwtbffqlhfgcsflvfwnmczvsbflnnnzpfjfrcwhhcbtbjcbghtcwcgdbrwrgfgvpwtcwlwcmnmrtcrjbwtwlrfstztsghfvrfjzzpswpqfqpvqstvbhqfjlgmtdlhqrhwzqpnqpllnlgzwptbgftmblqcwfcllbwfzdhrndfrvdvwzqvhnghlzvhldnnvrgqvlpfdnpmcgddjmstzsqfvzwftflrwtzqwjbbqhjpfbdztdfsgsztvvrvslgspgpdcmwszdfsddqhpzpsjgqmgzqvhchlgrmcmzwzbtwfphvgcdmhfdczhffgmqpncdjszzgwfvwsqddvbcgngbjwhmphjsmjthvbthhfwdtqmjctcmdpqpsdrnrzdgzgzctbhwsgvtjgwjbsnnjmpmqgwrnqfqbpnrpddjsrsvmcshhthwfrwmqsrjhlsrgfzvwmdzhwrvchppqldghgzflrnwqnvntmtdwmrpgbdbzvcmnqstzntvllcgzsnvrhqzsfncznhgrggmvrmgsqmhbdsjbsqqhzppfcwdrgdvfjdscrvpwtsdmcnczwbbjhvddprwtzfwslcfdcrqfszcgmhtdfvlqzqtvwngzvmmqcrqpzwzhggjnphsrmnctnfhtppglspnvzrsqfgzdfrrwbzbqwvbvbnzgmdrqrnsvdpvlgcmnggsbmbtfwrvdjrtgtgcqscnfpgswgsngdqnnscffdcnlrcpdpcbpzvqcrtjhlwvgnfhhqmprthrtcvcjjwgprqqdwfbgmzlwttjpvcjzfwbdhvngsjpgtqsvbldbcvhjhzbjzblqtqhlnbzzqfcpnzdhbplztcgvzhbgshqbccgwzhftqvtwzbwmnfrsgphhhgtsmwlqhlcchtbtggqwmbdthhmqqjtfdvfpddfdrtfjbpmwtcbfnrhwcnpdqrdtsfdmjfzdwwgnftnwpssgqtlpdbwhnzcnfmppclsswbhcdghpnslwjznqszgdtrnpncsqsnbrplrfwpbnfnvttlzcjtvhzcpzmhfsfzfjlzqqnprpdvwbfthmrswqrcqqwrnwzmgjqqsnqdblssmhngjjvprmqbswtgzzvprwhrgjqshvmwzgrgfmzlgrtzbmdlzncwqdftfsndvdfmmplswdbjtbcbvcvtpjvrqpghczpqvvpqwfbfhllbpvrrfsmsjhqbldcrwvzvcvzfffqvplbfbdbwctbjsljlfwtbcnpsbtpmcqgdvltmztvrcfsprbnvwplwhncgsdnrdmqnmcvpvvrlmlwtgvrnwvzsfctdlcfvtgqmpnbwcbwvfpmqnbjvwffpjtvvgflhrnlngrzhhttdtdbvscftsqtvbrgzfgsjvwhzjcbsqcttlgwmhhvjhwhgmmdtflfdbvnhgcblqmwjfsqnngjqfbvdnsfbgwjfhpgdgvhpbvlrtpcpvhrbtqpbffzcqrvbqwvqmmrcwtnvcgwvsqzvrwdbcnjshbnbftmmvrmjvgfdwbsjvqfdwnnvqqhbmshcrclrwhfhbtnwqvmrrvdwgcwcsrhdbqndsthmrmbjhttjtzmlflbrmhlcgsbdjcjcvwcjffnqrntpflrgfcngpchtrzpnflwjvcgbwtsnjfqsggwmwhdvbzdpjmtwlmrslnjsndjtgjmmwmdgtnfrztppzqvqhbfzqpsdhvsshddlzwcmsndrpqhndsrjnngnmgmzrvchwlqgdnbssbhpbpgwpsrcnbphpslvqplhpgdhmrnwwjmhvnsfjmrfwtvjjrmgptvjffhbgpmfgmgrcjrwqhccssrqjpljbpwcvsfdtmbhzsmsjsgblgpcqszsttfclrjcnsslmngmbmwqfhddbvmbvwmrmvglsl"

# a vector is unique if every element is equal only to itself
op unique x = and/ 1 == +/ (x o.== x)

#unique "abcd"  # == 1
#unique "abbc"  # == 0

op i loop a =
    unique a[i]: i
    (i+1) loop a

op solve n =
    i = ((1-n) drop iota rho input) o.+ (-1 + iota n)
    1 loop input[i]

# if we were using rsc's @ patch then we could just do
#   (unique@ input[i]) iota 1
# instead of
#   i loop input[i]

solve 4
solve 14