import vec:*
import vec_literals:*
import map:*
import set:*
import util:*
import str:*

// nonterminals are negative, terminals are positive
obj Grammer (Object) {
    var nonterminals: vec<vec<int>>
    var terminals: vec<char>
    fun construct(): *Grammer {
        nonterminals.construct()
        terminals.construct()
        return this
    }
    fun copy_construct(old: *Grammer): void {
        nonterminals.copy_construct(&old->nonterminals)
        terminals.copy_construct(&old->terminals)
    }
    fun destruct(): void {
        nonterminals.destruct()
        terminals.destruct()
    }
    fun operator=(other:ref Grammer):void {
        destruct()
        copy_construct(&other)
    }
    fun add_new_nonterminal(rule: ref vec<int>): int {
        nonterminals.add(vec(rule))
        return -1*nonterminal.size
    }
    fun add_to_nonterminal(nonterminal: int, rule: ref vec<int>) {
        nonterminals[(-1*nonterminal)-1].add(rule)
    }
    fun add_terminal(c: char): int {
        terminals.add(rule)
        return terminals.size
    }
    fun get_nonterminal_rules(nonterminal: int): ref vec<int> {
        return nonterminals[(-1*nonterminal)-1]
    }
    fun get_terminal(terminal: int): char {
        return terminals[terminal-1]
    }
}
obj Pending (Object) {
    var nonterminal: int
    var rule_idx: int
    var idx_into_rule: int
    var left: int
    fun construct(nonterminal: int, rule_idx: int, idx_into_rule: int, left: int): *Pending {
        this->nonterminal = nonterminal;
        this->rule_idx = rule_idx;
        this->idx_into_rule = idx_into_rule;
        this->left = left;
        return this
    }
    fun copy_construct(old: *Pending): void {
        this->nonterminal = old->nonterminal;
        this->rule_idx = old->rule_idx;
        this->idx_into_rule = old->idx_into_rule;
        this->left = old->left;
    }
    fun destruct(): void { }
    fun operator=(other:ref Pending):void {
        destruct()
        copy_construct(&other)
    }
}
fun pending(nonterminal: int, rule_idx: int, idx_into_rule: int, left: int): Pending {
    var to_ret.construct(nonterminal, rule_idx, idx_into_rule, left): Pending
    return to_ret
}
obj Descriptor (Object) {
    var nonterminal: int
    var rule_idx: int
    var idx_into_rule: int
    var left: int
    var pivot: int
    fun construct(nonterminal: int, rule_idx: int, idx_into_rule: int, left: int, pivot: int): *Descriptor {
        this->nonterminal = nonterminal;
        this->rule_idx = rule_idx;
        this->idx_into_rule = idx_into_rule;
        this->left = left;
        this->pivot = pivot;
        return this
    }
    fun copy_construct(old: *Descriptor): void {
        this->nonterminal = old->nonterminal;
        this->rule_idx = old->rule_idx;
        this->idx_into_rule = old->idx_into_rule;
        this->left = old->left;
        this->pivot = old->pivot;
    }
    fun destruct(): void { }
    fun operator=(other:ref Descriptor):void {
        destruct()
        copy_construct(&other)
    }
}
fun descriptor(nonterminal: int, rule_idx: int, idx_into_rule: int, left: int, pivot: int): Descriptor {
    var to_ret.construct(nonterminal, rule_idx, idx_into_rule, left, pivot): Descriptor
    return to_ret
}
obj BS (Object) {
    var nonterminal: int
    var rule_idx: int
    var idx_into_rule: int
    var left: int
    var pivot: int
    var right: int
    fun construct(nonterminal: int, rule_idx: int, idx_into_rule: int, left: int, pivot: int, right: int): *BS {
        this->nonterminal = nonterminal;
        this->rule_idx = rule_idx;
        this->idx_into_rule = idx_into_rule;
        this->left = left;
        this->pivot = pivot;
        this->right = right;
        return this
    }
    fun copy_construct(old: *BS): void {
        this->nonterminal = old->nonterminal;
        this->rule_idx = old->rule_idx;
        this->idx_into_rule = old->idx_into_rule;
        this->left = old->left;
        this->pivot = old->pivot;
        this->right = old->right;
    }
    fun destruct(): void { }
    fun operator=(other:ref BS):void {
        destruct()
        copy_construct(&other)
    }
    fun to_string(): str {
        return str() + nonterminal + " " + rule_idx + " " + idx_into_rule + " " + left + " " + pivot + " " + right
    }
}
fun bs(nonterminal: int, rule_idx: int, idx_into_rule: int, left: int, pivot: int, right: int): BS {
    var to_ret.construct(nonterminal, rule_idx, idx_into_rule, left, pivot, right): BS
    return to_ret
}
/*fun complete_parser_for(grammer: ref Grammer, start_symbol, input: ref str): set<BS> {*/
    /*return fungll(grammer, input, start_symbol).second*/
/*}*/
/*fun fungll(grammer: ref Grammer, input: ref str, start_symbol: int): set<BS> {*/
/*fun fungll(grammer: ref Grammer, input: ref str): <, set<BS>> {*/
fun fungll(grammer: ref Grammer, input: ref str): set<BS> {
    /*loop(grammer, input, decend(grammer, 0 [>start_symbol<], 0), set(), set(), set(), set())*/
    loop(grammer, input, decend(grammer, 0 /*start_symbol*/, 0), set(), map<pair<int, int>, vec<Pending>>(), set(), set<BS>())
}
fun descend(grammer: ref Grammer, symbol: int, l: int): set<Descriptor> {
    /*grammer.get_nonterminal_rules(symbol).map(fun(rhs): descriptor { <X::=.rhs,l,l> })*/
    return grammer.get_nonterminal_rules(symbol).map(fun(rhs: int): Descriptor { return descriptor(symbol, rhs, 0, l, l); })
}
fun loop(grammer: ref Grammer, input: ref str, R: set<Descriptor>, U: set<Descriptor>, G: map<pair<int, int>, vec<Pending>>, P: map<pair<int,int>, set<int>>, Y: set<BS>): set<BS> {
    /*if R.size() == 0 {*/
        /*return <U,Y>*/
    /*} else {*/
        /*var d = R.pop()*/
        /*var <<R',Y'>,G',P'> = process(grammer, input, d, G, P)*/
        /*var U_with_d = U.union(set(d));*/
        /*var R'' = (R.union(R') - U_with_d*/
        /*return loop(grammer, input, R'', U_with_d, G.union(G'), P.union(P'), Y.union(Y'))*/
    /*}*/
    while R.size() != 0 {
        var d = R.pop()
        /*var <<Rp,Yp>,Gp,Pp> = process(grammer, input, d, G, P)*/
        var it = process(grammer, input, d, G, P)
        var Rp = it.first.first
        var Yp = it.first.second
        var Gp = it.second
        var Pp = it.third

        var U_with_d = U.union(set(d));
        var nextR = R.union(Rp) - U_with_d
        R = nextR
        U = U_with_d
        G += Gp
        P += Pp
        Y += Yp
    }
    return Y
}
/*fun process(grammer: ref Grammer, input: ref str, <X:=a.b,l,k>, G, P): {*/
fun process(grammer: ref Grammer, input: ref str, discript: Descriptor, G: map<pair<int, int>, vec<Pending>>, P: map<pair<int,int>, set<int>>): triple<pair<set<Descriptor>, set<BS>>, map<pair<int, int>, Pending>, map<pair<int,int>, set<int>>> {
    /*if is_e(b) {*/
    if descript.idx_into_rule == grammer.get_nonterminal_rules(discript.nonterminal)[descript.rule_idx].size {
        /*return process_e(<X::=a.,l,k>, G, P)*/
        return process_e(descript, G, P)
    } else {
        /*return process_symbol(grammer, input, <X::=a.sb',l,k>, G, P) // b=sb'*/
        return process_symbol(grammer, input, descript, G, P)
    }
}
/*fun process_e(<X::=a.,l,k>, G, P) {*/
fun process_e(descript: Descriptor, G: ref map<pair<int, int>, vec<Pending>>, P: ref map<pair<int,int>, set<int>>): triple<pair<set<Descriptor>, set<BS>>, map<pair<int, int>, Pending>, map<pair<int,int>, set<int>>> {
    var nonterminal: int
    var rule_idx: int
    var left: int
    var pivot: int
    var X = descript.nonterminal
    var l = descript.left;
    /*var K = { <g,l'> | <<X,l>,<g,l'>> in G }*/
    var K = G.get(make_pair(X,l))
    /*var <R,Y> = ascend(l,K,k)*/
    var it = ascend(l,K,k)
    var R = it.first
    var Y = it.second
    /*var Y' = { <X::=.,l,l,l> | is_e(a) }*/
    if grammer.get_nonterminal_rules(X)[descript.rule_idx].size == 0 {
        Y.add(bs(X,descript.rule_idx, 0, l, l, l))
    }
    /*return <<R,Y.union(Y')>,set(),set(<<X,l>,k>)>*/
    return make_triple(make_pair(R,Y), map<pair<int, int>, Pending>(), map(make_pair(X,l), set(k)))
}
/*fun process_symbol(grammer: ref Grammer, input: ref str, <X::=a.sb',l,k>, G, P) {*/
fun process_symbol(grammer: ref Grammer, input: ref str, descript: Descriptor, G: ref map<pair<int, int>, vec<Pending>>, P: ref map<pair<int,int>, set<int>>): triple<pair<set<Descriptor>, set<BS>>, map<pair<int, int>, Pending>, map<pair<int,int>, set<int>>> {
    var s = grammer.get_nonterminal_rules(descript.nonterminal)[descript.rule_idx][descript.idx_into_rule]
    var k = descript.pivot
    /*R = { r | <<s,k>,r> in P }*/
    R = P.get(make_pair(s,k))
    /*G' = {<<s,k>, <X::=as.b',l>>}*/
    var Gp = map(make_pair(s,k), pending(descript.nonterminal, descript.rule_idx, descript.idx_into_rule, descript.left))
    if grammer.is_terminal(s) {
        /*return <match(input,<X::=a.sb',l,k>),set(),set()>*/
        /*return make_triple(match(input,descript), map<pair<int,int>, vec<Pending>>(), map<pair<int,int>, set<int>>())*/
        return make_triple(matc(input,descript), map<pair<int,int>, vec<Pending>>(), map<pair<int,int>, set<int>>())
    } else if R.size() == 0 { // s in N
        /*return <<descend(grammer,s,k), set()>, G', set()>*/
        return make_triple(make_pair(descend(grammer,s,k), set<BS>()), Gp, map<pair<int,int>, set<int>>())
    } else { // s in N and R != set()
        /*return <skip(k,<X::=as.b',l> R), G', set()>*/
        return make_triple(skip(k,pending(descript.nonterminal, descript.rule_idx, descript.idx_into_rule, descript.left), R), Gp, map<pair<int,int>, set<int>>())
    }
}
/*fun match(input: ref str, <X::=a.sb',l,k>): <discriptor_set, set<BS>> {*/
fun matc(input: ref str, descript: Descriptor): pair<set<Descriptor>, set<BS>> {
    /*if input[k] == grammer.get_terminal(s) {*/
    if input[descript.piviot] == grammer.get_terminal(s) {
        /*return <set(X::=as.b',l,k+1>), set(<X::=as.b',l,k,k+1)>*/
        return make_pair(set(descriptor(descript.nonterminal, descript.rule_idx, descript.idx_into_rule+1, descript.left, descript.pivot+1)), set(bs(descript.nonterminal, descript.rule_idx, descript.idx_into_rule+1, descript.left, descript.pivot, descript.pivot+1)))
    } else {
        return make_pair(set<Descriptor>(), set<BS>())
    }
}
fun skip(k: int, c: Pending, R: ref set<int>): pair<set<Descriptor>, set<BS>> { return nmatch(k, set(c), R); }
fun ascend(k:int, K: ref set<Pending>, r: int): pair<set<Descriptor>, set<BS>> { return nmatch(k, K, set(r)); }
fun nmatch(k:int, K: ref set<Pending>, R: ref set<int>): pair<set<Descriptor>, set<BS>> {
    /*var R = { <g,l,r> | <g,l> in K, r in R }*/
    /*var Y = { <g,l,k,r> | <g,l> in K, r in R }*/
    var R = set<Descriptor>()
    var Y = set<BS>()
    /*for pending in K {*/
    for (var i = 0; i < K.data.size; i++;) {
        var pending = K.data[i]
        /*for r in R {*/
        for (var j = 0; j < R.data.size; j++;) {
            var r = R.data[j]
            R.push(descriptor(pending.nonterminal, pending.rule_idx, pending.idx_into_rule, pending.left, r))
            Y.push(bs(pending.nonterminal, pending.rule_idx, pending.idx_into_rule, pending.left, k, r))
        }
    }
    return make_pair(R,Y)
}

fun main(argc: int, argv: **char): int {
    var grammer.construct(): Grammer
    /*add_new_nonterminal(rule: ref vec<int>): int {*/
    /*add_to_nonterminal(nonterminal: int, rule: ref vec<int>) {*/
    /*add_terminal(c: char): int {*/

    /*fungll(grammer: ref Grammer, input: ref str): set<BS> {*/


    var one = grammer.add_terminal('1')
    var E = grammer.add_new_nonterminal(vec<int>())
    grammer.add_to_nonterminal(E, vec(one))
    grammer.add_to_nonterminal(E, vec(E,E,E))

    var BSR = fungll(grammer, str("1"))
    for (var i = 0; i < BSR.data.size; i++;) {
        var BS = BSR.data[i]
        println(str() + i + ": " + BSR.data[i].to_string())
    }

    return 0
}