aocutil/2021/inputs/10

(<{([{([[[<{(<(){}>({}()))}[(<[]<>>{<>})[{{}()}<{}[]>]]><[[<{}{}>([]{})]<<<>{}>[<>{}]}]{{([]{})({}())}<
<[<<{<[(([[[[<[][]>][(<>()){<>()}]]][<{<<>{}>(()<>)}><([<>{}]{()()})([()()]([]{}))>]]){{<{[[<><>]({}{})]
<(({(<{<({[<[[[]()][<>[]]]{{{}()}({}[])}>]{[{<<>[]>[()[]]}][[[{}[]](<>{})]{[()()]((){})}]}}(
{{[{[[[{{{{{[([]())(<>())](<[]<>>{[]{}})}([[(){}]<<>()>]<<()()><{}{}>>)}}((<[{{}()}<()>]<({}{
({([({([[({([{[]<>}]<<<>{}>[<>[]]>)})({{{[()[]]<()>}(([]<>)<[]()>>}({[<>{}]}([{}<>]([]())))})]][{<
<(((<<<{([[[<{()<>}{{}()}>[({}())([][])]]{{(()())(<>{})}(<{}><[]{}>)}]<[{([]())<{}>}<[[][]](<>)>]<{
(([{[{([(<{{[<{}><<><>>]<<{}<>>>}(({<>{}}(<>[])){{<>[]}})}>)({(<<([]<>){[][]}>([{}<>]({}()))>)<(([<>{}]<{}[]>
<((<[[<({[<({{<>[]}}{<<>{}><{}[]>}){([(){}])<(()[])<<>[]>>}>(<((<>[])[<>[]]){{<>{}}{{}()}}>)]}[<
<[{<[<(<[[[{[<[][]>][[<>()}({}())]}]<<((<>[]))[((){}){[]()}]><((()<>){{}{}})[(()[])<<><>>]>>]]{<[[<<<
[{(<(({{{(<(({{}{}}))>{<[(<>[])<(){}>]<<()<>>{[][]}>>((([]()){[]})({<>[]}<()[]>))})({<<({}())>[(()())
<{[<<[<[([{{<<(){}><()[]>>([{}<>][{}<>])}}[[[[(){}]({}())][(()[])<[]()>]]]]({([<<>>[<>()]]([[]<>]<{}{}>))((<{
({{{<(([{(([{{()()}{<>{}}}[<<>>[()()]]]))<[<[[{}{}]{[]()}]<([]<>){[]()}>}{{{[]}[<>()]}}]>}]
[(([({[<([{<<({}{})<{}[]>>><<{()()}([])>{{[]<>}[()()]}>}{{<([]()){{}{}}>[{<>()}{{}()}]}[({<>()}{(){}})<[{}(
{([{({[<<<<<[{{}[]}](<{}<>>)>>({(<{}()>[[][]])})>><<[[({<><>}({}[]})]([{{}()}[[]()]][({}{})({}{})])
<{([{[<{<<{<<{<>[]}<()<>>>[<<>()>(()[])]>{<({}())([]())>}}<({{{}{}}([]{})}{{{}<>}({}<>)})[{<{}()>(()[
[<{{(<{<<{<(<{[]<>}{(){}}>{{()<>}[[][]]}){[{<>[]]<{}<>>]<({}{})>}>}{<(<{[]{}}(<>())>)[{{[][]}[()]}<<()><
[[[<[[[[<{(((<[][]>(()<>)))<<<<>{}>{<><>}}{({}())(<>{})}>)[({[<><>][{}()]}[([]{})])({(<><>)[(){}]}(<{
({[<[<<([<{<{(<>{}){[]>}<{{}[]}(<><>)>>}><[(<({}())><<<>()>[()[]]>)([{<>{}}({}{})])]({{{<>{}}{{}<>}}[[<
[(<[{<[[(<[<{[()()][{}[]]}{[(){}][<><>]}>]{({<[][]>[()<>]}[([][])<{}>])}><[(<([][])<<>()>>[[<>()](<><>)]
[({(<{[<{[(<<[()<>]([]{})>[<[][]>({}{})]>(<{[]<>}<<>[]>>((()[]){{}[]}))){[<({}{})<()<>>><<()[]>([])>]<<<
<(<((({{<[{<[<()[]><()<>>]{<<>{}><()[]>]>{<{()[]}{<>()}>({()<>}[<>{}])}}<<[[()()]<[][]>]<<()<>><{}{}>>>
<<{{[{([{(({[<()<>>[{}()]]{<()()><[][]>}}(((()<>]{{}{}})([<>[]]{<>[]})))[<[<{}()>({}())]<(()<>)[[]()]>
<<[[(<[<[[<{(<<>{}>{[]<>})}<<[[]<>](<>())><{{}<>}[()()]>>>((({{}()}<()()>))[[(<>{})<<>{}>]{(()){{}<>}}]
[{<{([<<{{[[[<[]{}>{(){}}][{{}()}{[][]}>][({{}()}[{}{}]){({}<>)}]]{{[({}())([])][<{}><{}()>
[{((({([{((<<[[]()]<{}>><<[][]><[]{}>>>[[[<>()]{[]{}}][{()<>}[(){}]]]))<<{[<[]{}>({}{})]}>(<{[[]
{[[[{[{{((<[(<<>[]><{}()>)[{<>()}[()<>]]]{({{}{}}({}{})){[()()](())>}>)({(<<[]()><[]>>)}{[[({}[]){()<
<<<((<<({({<<[[]][[][])>>[({<><>}[<>()])<[{}{}]([][])>]})([{(<[][]>[{}<>])<[<><>]>}<<([]{})(()<>)>[[{
[({[([{[{<(({([][])<{}[]>}({(){}}[()()]))<([{}[])(<>[]))[({}()){[]<>}]>){<{[()[]]<{}{}>}>{<[()()]<[]
{<<[<<[((([{[{[]()}<<>>][<()[]>]}[[{{}()}{[][]}]<({}{})(<>{})>]]){({[{()<>}<{}<>}]{(()<>)}}<([[]][[](
<<({{[{<<{<[{[()()][[][]]}]>(([{[]}(()())]<{()[]}<<>[]>>)(((()[])[()()])))}{((<{{}()}{{}{}}>{[[]
<({[{[(([{([[<{}<>>]]<[[()<>](<>())]>){[[[(){}]]{<{}<>>{()<>}}]{<[[]{}]<{}{}>>{[()<>]}}>}]{(([{([]{}
[<{{{<<[{(({[({}()){{}[]}](({}{}){[]{}})}(<{{}[]>>[<()<>>{{}<>}]))[[<<[][]>><(()())[<>()]>][({()[]}(()
(<{{{{[({[{{<[{}<>]((){})><[[]{}](<><>)>}(({[][])<{}[]>)[<()()>[<>[]]])}]})]<{{[<{(([]{})<()()>){
(<<<<[{((<{({({}[])[[]()]}[<{}{}>([]<>)])(({[]()})({(){}}(<><>)))}[[[<[]{}><()()>]<{{}()}{{}
(([([[<{{{([<(<><>){(){}}>[[[]{}]]]({[[]{}]<()()>}<<<><>>>))}}}]<[[<({[{<><>}{<>()}]{([]<>){()<>}}
(<(<{<(<(<(({{<>}<[]()>}([[]{}])){<(<>())[{}()]>([()[]](()))})[[[{()()}({}{})]<<{}>([]{})>]([<()[]><{}<>>
[(<[[{{((<[<<<[]>[{}{}]}<[[]<>]<[]{}>>>{{[[]()][()<>]}}]>{({([{}()]<()()>)[<()[]><(){}>]}[
{[<{<<<<<[{(<{[][]}({}())>(((){}){()()}))}]>>{(<({<(<>{}){[]{}}>{((){})<<>()>}}<<[<><>][<>()]>[<[][]><<><>>
<{[({<[{{{<{<(()[])><{[]()}<(){}>>}{[([][])[()[]]]}>}({{({{}<>}<[]()>)}}<([{{}<>}]<({}<>)<()<>>>)<<([](
<[<{(<({[<[({<()<>>{(){}}}<{{}[]}(()<>)>)]{<(<<><>>(<>))<{{}<>}({}<>)>>{{<()[]>{{}{}}}{<[]<>>}}}>]}{<[
{{[<({{{{[{({[{}[]]{{}[]}})(({[][]}<<>()>)<[<>{}]{[]<>}>)}{{<[<>{}][()()]>([(){}](<>{}))}}]
([{<[(((({[({<()<>><<>{}>})]{<[([])[<>()]]{(<>)[[]{}]}>[<(<>)({}[])>[({}){<><>}]]}}{[[<(<>)(()[])>
{(<{<{<({[({{[{}[]]}})[({(<><>){[][]}})<([()[]](<>{}))<[{}()]((){})>]]]{{{<(()<>){()<>}>}[(({}())[
<(<[<{{{[[<{({()()}([]{})){[<>]<(){}>}}>[[[{[]<>}{<>[]}][(<>{}){<><>}]](({(){}}<[]<>>))]][<({{{}(
<{((([<{<[[(({()<>}(()<>)))[<{[][]}[<><>]>]]]><<(({([][])[{}{}]}[<[]{}>[<><>]])([{(){}}[()()]][[[]{}]({}[])])
{{<[[{<<[<<{{<<>{}>([]())}[[<>[]](()[])]}[<({}{})[<><>]>[[{}]{[]}>]>>[<([([])(()[])])><{(<(){}>{()[]})
[<[[<<(<{<({{<<><>>([]<>)}}{<[{}{}]{[][]}>[{[]{}}<<><>>]})({{<[]<>>(()[])}(({}[])[()<>])})
(([<{[{[[<{(({<>[]}{()[]}))[{[()[]]{<><>}}(({}{})[{}[]])]}[{(<{}<>>(<><>))<(()<>)([][])>}{<{[]()}<(){}>
(<<{{<{(<{<<[{{}{}}{{}()>]{{<>[]}<<>[]>}>>}>)<[({[{([]<>)(())}[({}{}){(){}}]]{[[(){}]]<([])([][
({{(<[<[<<<{[{<>[]}]<{{}<>}>}>{<<[[]()]((){})><<[]()>[(){}]>>{{([]()){[]()}}(<()()>)}}>({[([<><>][<>()]){(()(
<[{(<(<{([[[<([]{})<<><>>>[[()]([]<>)]]]{[<[<>{}]([]())}([<>()][{}<>])]<<([]{}){{}<>}><{{}()}{<>()}>>}])<
(({{({[[[<({[({})<<>[]>]{<{}()>{()[]}}}){[[(<>{})([]{})]{[{}()](()[])}]([<()()>]{((){})<{}()>})}><[[
[[[(({<{[([(({()<>}<[][]>))][[(([]())[[][]]){<[]>}]([[[][]]<<>[]>]([{}]{()()}))])]{{[({[<>[]][[]]}{(<
([([{<[(({[{{<(){}>([]<>)}(<[]<>><(){}>)}]({([{}{}][()<>])}{(([]<>){[]<>}){[<>[]]<{}<>>}})}))<((<
{<(<[{<<<(({<{()<>}<[]<>>>}{<[<>{}>{{}<>}>({(){}}{()})}){[{(())(()())}({()[]}(()<>))]<[{(){}}({}<>)]<[<>()]>
{{[<[{([<(<<<<[]{}>[[][]]>{[()[]]<<>[]>}>{(({}())([][]))({[]()}<()<>>)}>[(({[]<>}(()[]))[<{}<>>{()[]}])
<{<{{{{<[{{(<{{}{}}{()()}>[([]{}){[]()}])<{[[]<>]<<>()>}[<{}[]>{[]()}]>}<((<()()>[()[]]))>}][{[{<<{}
({(([({[[(<<([<>()]{{}<>})(<()()>[[]()])>(<[()[]]{[]()}>{[()()]{()()}})>){[{[[()<>](()<>>]}([[
({{<{[[{{<{<{([]){[]<>}}{{[]{}}<[]<>>}>}(<{{{}[]}<{}>>>)>}(([[[([]())(<>)]{[[]{}][[]]}]<<({}()
[{([({([<<<<{{()[]}<{}{}>}[[[]()]{<>{}}]>[([<>{}]<[][]>){{[]<>}({}{})}]>{[[<[][]>([]())]{[<><>](<>[
([({{<<({(([[<<>()><{}<>>]<(()[])({}())>]){((<[]()>[(){}])(<<><>>{{}[]})){[[[]()][[]<>]]<<[]()>[{
[{(<<({[<[<<{[{}<>}[{}()]}{[[]<>]{()()}}>(<[()[]][()()]>)>(<{[()<>](()<>)}<<<>>({}{})>>([{
(<[[{(({[{{({[()<>]}(({}[])[<><>]))([[[]<>](<>[])]{<(){}>[()<>]})}(((<<><>>({}()))({<>}((){}))
(<{{<<<[({({[{{}<>}[<><>]][(()<>)<<>()>]}>})(<(<((()[])({}))<<<>>([][])>>)(({<()()>[()<>]})(({{}{}}({}()))(
({<{{[<<{([((((){})<[]()>)(<<>[]>({}())))<{({}[])([])}{<{}[]>{()()}}>]<<{[()[]]{[]<>}}>>]}{<{([<[]<>><(){}>
<[<[<<({{<[[{{<><>}<{}<>>}<[[][]>({}<>)>]]>(<<{(<>{}){()[]}}[<()<>>[[]]]>>[{<<<><>>((){})>[<()()>[{}<>]]}<([
{<<(<[([<[[{<{[]<>}{{}[]}>{[<>()]{{}{}}}}<{<()<>>[()[]]}{(<>{})({}())}>]]><[([<<()<>>{()[]}>(<<>>
{<({<[{{({(((({}[])(()<>)){(()[])})<[<(){}>(()<>)][<{}<>><[][]>]>){<{([]()][()<>]}<(<>())<()
{{(([<[({<[(((<>()){()[]}){(<>{}){[]<>}}]<{{{}()}<{}{}>}[[{}()]{{}<>}]>][<{[[][]]{[]<>}}<<(){}>
{[{(<{{([[{<{{<>}[<>{}]}{<[][]>{[]()}}>(((()[])({}()))<<()()>{[][]}>)}[<(((){}){{}[]})[({}[])]
{[<([[({{({{[<{}[]>{[]()}])}<[[[[]{}]][<()[]>({}[])]]<<[[]<>]<<>{}>><{<>{}}(<>{})>>>)}}){{<([
[([<(([[[{{<{<[]{}>{[][]}}[<[]()>(()[])]>{[{<>{}><()[]>][[[]]]}}<[[((){})[[]<>]][(()[])([][])]]>}(<{[[[]()
[([{[({[{{{{<{()[]}>{<<><>>}}[[(<><>)([]())][([][]){<>[]}]]}}}]})]{{{[<{{{<{{}()}(<>{})>}{<({
[<[{<[[[[<<<[<()[]>[()()]]<[{}()](<>)>><([<>{}]({}[]))>><<[<{}{}>[<>()]]((<>{}){[]()})>[([
[<{{[{([[<<[<(<>{})({}<>)>]{<[[]{}]>{(()<>)[<>[]]}}>{[((()[])(()[])){({}{}}[[]{}]}]{([{}[]]
{<<(<{<<([(<{<{}>[()()]}{{{}{}}[{}()]}>[{{[]()}{{}<>}>{{()()}([]{})}]){(<[()<>]<[]{}>>[{(){}}([]<>)])}]
[<[<([<[{{{(<({}<>)[{}()]>[[<>()]])(({()[]}){({}){[][]}})}}}(<([<{{}[]}[{}{}]>{(()())}])[((({}[])[
{(<(([(([[{<{<()[]>(()[])}(<<><>>(<><>))><[[[]{}][()()]]{([]{})({})}>}]({<[{()()}(<>()))<[[]](()())>>}<({{{}{
{(({{<{([<{<<<(){}><{}()>>{[<><>]<{}()>}><[<{}{}>]<{<>[]}<(){}>>>}{{({[]<>}{()[]})}}><{(<{{}()}{{}()}>({(){
{<<{(([<(({{{((){})<{}()>}}<(<()<>>([]<>)){{<><>}{()()}}>}<{{(())[<>[]]}}<<<(){}}<[][]>>[<{}()>[<><>]]>>))>
<[{{{<{{[[[[({()<>}([]()))<(())([]())>]{{{<>()}{(){}}}{{{}[]}}}]][({{<<>()>}[([][])<()>)}((([
[(({[<<[[({({{(){}}<[]()>})})][<[[([{}{}][[]()])]([(<>{})<{}()>][{{}{}}([]())])][[{[()()]<<>{}>}<<<>
([(<<[(<[<<{[((){})(<>[]}]({<>}[<>[]])}(({{}[]}((){})))>{({{[]<>}[[]<>]}<{{}}<{}>>){(<[]()
[[{{<[<{<{{{{([])[[]()]}((<>)(()[]))}(<<{}{}>([]{})>)}[{(<()<>>([]{}))<(<>())[()()]>}{<{[]()}[
<<(<<[(<(([{({()<>}({}<>))[{()[]}[[][]]]}]((<{<>{}}[<>[]]><(()<>){()<>}>)[(<<>>{()<>})<([]()}[[]()]
[<<<{[<<<[(<<{{}()>{[][]}>[[(){}](<>[])]>{[[[]<>]]<({}){()()}>})][{({<{}[]>}){[{[]()}[{}[]]]{[[][
[{([<<[{((<<((<>[])<()<>>)>>)(<<(<()()>)(({})<<>>)>>))}]>(<{{{[((<()()>[{}{}])[<[][]>([]()}])[<[{}[]]{{}{}}>
[{{{[(<([([{{{<>{}}}{[{}[]]<[]()>}}{{[(){}][[]{}]}((()<>)(()()))}]<<{{()<>}<()()>}>>){[[{(<>
<<[[(<([({([{<{}[]>(<><>)}])}{(({[{}]({}{})}[[<>{}]])[{[()[]]{{}()]}{[{}[]][[]<>]}])<<(<[]()><(
(({[<[[[[{<{<<()()>[<>[]]>{(()<>){()}}}{<(()())([]<>)>{[()<>]<<>{}>}}>}](({([[{}<>]<(){}>])<([[
(<<[{[[<{<[(({<><>}[<><>])({(){}}(<>[])))<[([]<>){{}{}}]>>>}[<{({[<>()](()())}{([]())[<>[]]})[[(<>[])
<[<(({([(((<[<{}[]>{<>{}}]{{<><>}<[]<>>}><([[]<>]{[]{}})[<{}>{()}]>)){[[{([]<>)}{<{}()>{<>{}}}]{[{[]<
{{((<<{((([(<[()[]]([][])>)[{{(){}}[{}()]}<([]{}){[]{}}>]]{[[({}())[()]]][{[[]{}]<[][]>}{<{}[]>[<
([(([{{[({<[[<(){}>[[]<>]]]<[{()<>}<(){}>]>>[{((<>[]))}]}(<[[{()()}{{}<>}][(()[]>{{}{}}]][<({}[])>[