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Adds the construction of a splitting tree
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commit
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3 changed files with 153 additions and 63 deletions
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@ -7,8 +7,9 @@
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#include <vector>
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struct splijtboom {
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splijtboom(size_t N)
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splijtboom(size_t N, size_t depth)
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: states(N)
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, depth(depth)
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{
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std::iota(begin(states), end(states), 0);
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}
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@ -16,7 +17,8 @@ struct splijtboom {
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std::vector<state> states;
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std::vector<splijtboom> children;
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std::vector<input> seperator;
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int mark = 0;
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size_t depth = 0;
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int mark = 0; // used for some algorithms...
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};
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template <typename Fun>
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@ -1,46 +0,0 @@
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digraph g {
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__start0 [label="" shape="none"];
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s0 [shape="circle" label="0"];
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s1 [shape="circle" label="1"];
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s2 [shape="circle" label="2"];
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s3 [shape="circle" label="3"];
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s4 [shape="circle" label="4"];
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s5 [shape="circle" label="5"];
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s6 [shape="circle" label="6"];
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s7 [shape="circle" label="7"];
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s8 [shape="circle" label="8"];
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s9 [shape="circle" label="9"];
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s0 -> s1 [label="INCR / OK"];
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s0 -> s0 [label="DECR / ERROR"];
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s0 -> s0 [label="GET / NO"];
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s1 -> s2 [label="INCR / OK"];
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s1 -> s0 [label="DECR / OK"];
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s1 -> s1 [label="GET / NO"];
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s2 -> s4 [label="INCR / OK"];
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s2 -> s1 [label="DECR / OK"];
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s2 -> s2 [label="GET / YES"];
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s3 -> s9 [label="INCR / OK"];
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s3 -> s4 [label="DECR / OK"];
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s3 -> s3 [label="GET / NO"];
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s4 -> s3 [label="INCR / OK"];
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s4 -> s2 [label="DECR / OK"];
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s4 -> s4 [label="GET / YES"];
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s5 -> s6 [label="INCR / OK"];
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s5 -> s9 [label="DECR / OK"];
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s5 -> s5 [label="GET / NO"];
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s6 -> s7 [label="INCR / OK"];
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s6 -> s5 [label="DECR / OK"];
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s6 -> s6 [label="GET / YES"];
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s7 -> s8 [label="INCR / OK"];
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s7 -> s6 [label="DECR / OK"];
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s7 -> s7 [label="GET / NO"];
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s8 -> s3 [label="INCR / OK"];
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s8 -> s7 [label="DECR / OK"];
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s8 -> s8 [label="GET / NO"];
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s9 -> s5 [label="INCR / OK"];
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s9 -> s3 [label="DECR / OK"];
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s9 -> s9 [label="GET / YES"];
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__start0 -> s0;
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}
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164
src/main.cpp
164
src/main.cpp
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@ -6,6 +6,7 @@
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#include <algorithm>
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#include <cassert>
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#include <fstream>
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#include <iostream>
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#include <iterator>
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#include <queue>
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@ -13,6 +14,16 @@
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using namespace std;
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template <typename T>
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ostream & operator<<(ostream& out, vector<T> const & x){
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if(x.empty()) return out;
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auto it = begin(x);
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out << *it++;
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while(it != end(x)) out << " " << *it++;
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return out;
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}
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int verbose = 0;
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template <typename T>
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@ -28,23 +39,27 @@ int main(int argc, char *argv[]){
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if(argc > 2) verbose = argc - 2;
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const string filename = argv[1];
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cerr << "* Reading file " << filename << "\n";
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const auto g = read_mealy_from_dot(filename, verbose);
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assert(is_complete(g));
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cerr << "\tdone\n";
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const auto N = g.graph.size();
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const auto P = g.input_indices.size();
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const auto Q = g.output_indices.size();
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cerr << "* Setting up strucutres\n";
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partition_refine part(N);
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splijtboom root(N);
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cout << "starting with " << part.size() << " blocks / " << N << " states" << endl;
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splijtboom root(N, 0);
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vector<vector<state>> succession;
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queue<pair<partition_refine::BlockRef, reference_wrapper<splijtboom>>> work;
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const auto push = [&work](auto br, auto & sp) { work.push({br, sp}); };
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const auto pop = [&work]() { const auto r = work.front(); work.pop(); return r; };
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const auto add_push_new_block = [&](auto new_blocks, auto & boom) {
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const auto nb = distance(new_blocks.first, new_blocks.second);
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boom.children.assign(nb, splijtboom(0));
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boom.children.assign(nb, splijtboom(0, boom.depth + 1));
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auto i = 0;
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while(new_blocks.first != new_blocks.second){
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@ -71,15 +86,23 @@ int main(int argc, char *argv[]){
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}
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return true;
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};
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const auto update_succession = [N, &succession](state s, state t, size_t depth){
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if(succession.size() < depth+1) succession.resize(depth+1, vector<state>(N, -1));
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succession[depth][s.base()] = t;
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};
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push(part.begin(), root);
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cerr << "\tdone\n";
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size_t days_without_progress = 0;
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string filename_thingy;
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cerr << "* Starting Lee & Yannakakis I\n";
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while(!work.empty()){
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auto block_boom = pop();
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auto block = block_boom.first;
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const auto block_boom = pop();
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const auto block = block_boom.first;
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splijtboom & boom = block_boom.second;
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const auto depth = boom.depth;
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if(verbose){
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cout << "current\t";
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@ -91,8 +114,10 @@ int main(int argc, char *argv[]){
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// First try to split on output
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for(input symbol = 0; symbol < P; ++symbol){
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const auto new_blocks = part.refine(*block, [symbol, &g](state state){
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return apply(g, state, symbol).output.base();
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const auto new_blocks = part.refine(*block, [symbol, depth, &g, &update_succession](state state){
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const auto ret = apply(g, state, symbol);
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update_succession(state, ret.to, depth);
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return ret.output.base();
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}, Q);
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// no split -> continue with other input symbols
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@ -116,7 +141,7 @@ int main(int argc, char *argv[]){
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successor_states[apply(g, state, symbol).to.base()] = true;
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}
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auto & oboom = lca(root, [&successor_states](state state) -> bool{
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const auto & oboom = lca(root, [&successor_states](state state) -> bool{
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return successor_states[state.base()];
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});
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@ -125,15 +150,17 @@ int main(int argc, char *argv[]){
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// possibly a succesful split, construct the children
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const auto word = concat({symbol}, oboom.seperator);
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const auto new_blocks = part.refine(*block, [word, &g](size_t state){
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return apply(g, state, begin(word), end(word)).output.base();
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const auto new_blocks = part.refine(*block, [word, depth, &g, &update_succession](state state){
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const auto ret = apply(g, state, begin(word), end(word));
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update_succession(state, ret.to, depth);
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return ret.output.base();
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}, Q);
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// not a valid split -> continue
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if(!is_valid(new_blocks, symbol)) continue;
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if(new_blocks.size() == 1){
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cerr << "WARNING: Refinement did not give finer partition, can not happen\n";
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// cerr << "WARNING: Refinement did not give finer partition, can not happen\n";
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continue;
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}
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@ -145,19 +172,126 @@ int main(int argc, char *argv[]){
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goto has_split;
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}
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cout << "no split :(" << endl;
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// cout << "no split :(" << endl;
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if(days_without_progress++ >= work.size()) {
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cerr << "No distinguishing seq found!\n";
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filename_thingy = "incomplete_";
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cerr << "\t* No distinguishing seq found!\n";
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break;
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}
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push(block, boom);
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continue;
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has_split:
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cout << "blocks: " << part.size() << ", states: " << N << ", work: " << work.size() << endl;
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// cout << "blocks: " << part.size() << ", states: " << N << ", work: " << work.size() << endl;
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days_without_progress = 0;
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}
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cerr << "\tdone\n";
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write_splitting_tree_to_dot(root, filename + ".splitting_tree.dot");
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cerr << "* Write splitting tree\n";
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write_splitting_tree_to_dot(root, filename + "." + filename_thingy + "splitting_tree");
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cerr << "\tdone\n";
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struct dist_seq {
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dist_seq(size_t N)
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: I(N)
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, C(I)
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{
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iota(begin(I), end(I), 0);
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iota(begin(C), end(C), 0);
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}
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vector<state> I;
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vector<state> C;
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vector<input> word;
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vector<dist_seq> children;
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} root_seq(N);
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cerr << "* Lee and Yannakaki II\n";
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{
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queue<reference_wrapper<dist_seq>> work2;
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work2.push(root_seq);
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while(!work2.empty()){
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dist_seq & node = work2.front();
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work2.pop();
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if(node.C.size() < 2) continue;
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vector<bool> states(N, false);
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for(auto && state : node.C){
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states[state.base()] = true;
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}
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const auto & oboom = lca(root, [&states](state state) -> bool{
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return states[state.base()];
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});
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if(oboom.children.empty()) continue;
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node.word = oboom.seperator;
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for(auto && c : oboom.children){
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dist_seq new_c(0);
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size_t i = 0;
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size_t j = 0;
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while(i < node.C.size() && j < c.states.size()){
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if(node.C[i] < c.states[j]) {
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i++;
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} else if(node.C[i] > c.states[j]) {
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j++;
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} else {
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new_c.I.push_back(node.I[i]);
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new_c.C.push_back(succession[oboom.depth][node.C[i].base()]);
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i++;
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j++;
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}
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}
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// woops. fixme
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sort(begin(new_c.C), end(new_c.C));
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if(!new_c.C.empty()){
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node.children.push_back(move(new_c));
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}
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}
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for(auto & c : node.children) {
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work2.push(c);
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}
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}
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}
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cerr << "\tdone\n";
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cerr << "* Write dist sequence\n";
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{
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ofstream out(filename + "." + filename_thingy + "dist_seq");
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out << "digraph distinguishing_sequence {\n";
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// breadth first
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int global_id = 0;
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queue<pair<int, reference_wrapper<const dist_seq>>> work3;
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work3.push({global_id++, root_seq});
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while(!work3.empty()){
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const auto id = work3.front().first;
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const dist_seq & node = work3.front().second;
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work3.pop();
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if(!node.word.empty()){
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out << "\n\ts" << id << " [label=\"" << node.word << "\"];\n";
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} else {
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out << "\n\ts" << id << " [label=\"I = " << node.I << "\"];\n";
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}
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for(auto && c : node.children){
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int new_id = global_id++;
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out << "\ts" << id << " -> " << "s" << new_id << ";\n";
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work3.push({new_id, c});
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}
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}
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out << "}" << endl;
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}
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cerr << "\tdone\n" << endl;
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}
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