diff --git a/CMakeLists.txt b/CMakeLists.txt
index 0f7d6f5..de9740b 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -1,6 +1,7 @@
 cmake_minimum_required(VERSION 2.8)
 project(hpc)
 
-set(CMAKE_CXX_FLAGS "-std=gnu++11 -fopenmp -O3")
+add_subdirectory(common)
 
-add_executable(hpc main.cpp)
+add_subdirectory(cpu-slo)
+add_subdirectory(cpu-opt)
diff --git a/common/CMakeLists.txt b/common/CMakeLists.txt
new file mode 100644
index 0000000..7cdff4e
--- /dev/null
+++ b/common/CMakeLists.txt
@@ -0,0 +1,2 @@
+add_library(common INTERFACE)
+target_include_directories(common INTERFACE include)
diff --git a/common/include/groups.hpp b/common/include/groups.hpp
new file mode 100644
index 0000000..e8cb22f
--- /dev/null
+++ b/common/include/groups.hpp
@@ -0,0 +1,110 @@
+#pragma once
+
+#include <types.hpp>
+
+struct Mult {
+    int from, to, multiplicity;
+};
+
+Table mults(const std::vector<Mult>& ms) {
+    Table res;
+    for (const auto &m : ms) {
+        int N = res.size();
+        res.emplace_back(m.multiplicity * 2, m.to);
+        for (int i = 0; i < m.multiplicity * 2; i += 2) {
+            res[N][i] = m.from;
+        }
+    }
+    return res;
+}
+
+std::vector<Mult> ezmults(int ngens, const std::vector<Mult> &ms) {
+    bool table[ngens][ngens];
+
+    for (int i = 0; i < ngens; i++) {
+        for (int j = 0; j < ngens; j++) {
+            table[i][j] = false;
+        }
+    }
+
+    for (const auto &m : ms) {
+        table[m.from][m.to] = true;
+        table[m.to][m.from] = true;
+    }
+
+    std::vector<Mult> res(ms);
+
+    for (int i = 0; i < ngens; i++) {
+        for (int j = i + 1; j < ngens; j++) {
+            if (!table[i][j]) {
+                res.push_back({i, j, 2});
+            }
+        }
+    }
+
+    return res;
+}
+
+/*
+ * Order 4*res*res
+ */
+std::pair<Table, int> torus(int res) {
+
+    return std::make_pair(mults(ezmults(4, {
+        {0, 1, res},
+        {2, 3, res},
+    })), 4);
+}
+
+/*
+ * Order 14,400
+ */
+std::pair<Table, int> H4() {
+    return std::make_pair(mults(ezmults(4, {
+        {0, 1, 5},
+        {1, 2, 3},
+        {2, 3, 3},
+    })), 4);
+}
+
+/*
+ * Order 51,840
+ */
+std::pair<Table, int> E6() {
+    return std::make_pair(mults(ezmults(6, {
+        {0, 1, 3},
+        {1, 2, 3},
+        {2, 3, 3},
+        {2, 4, 3},
+        {4, 5, 3},
+    })), 6);
+}
+
+/*
+ * Order 2,903,040
+ */
+std::pair<Table, int> E7() {
+    return std::make_pair(mults(ezmults(7, {
+        {0, 1, 3},
+        {1, 2, 3},
+        {2, 3, 3},
+        {2, 4, 3},
+        {4, 5, 3},
+        {5, 6, 3},
+    })), 7);
+}
+
+/*
+ * Order 696,729,600
+ */
+std::pair<Table, int> E8() {
+    return std::make_pair(mults(ezmults(8, {
+        {0, 1, 3},
+        {1, 2, 3},
+        {2, 3, 3},
+        {2, 4, 3},
+        {4, 5, 3},
+        {5, 6, 3},
+        {6, 7, 3},
+    })), 8);
+}
diff --git a/common/include/types.hpp b/common/include/types.hpp
new file mode 100644
index 0000000..18b23be
--- /dev/null
+++ b/common/include/types.hpp
@@ -0,0 +1,4 @@
+#pragma once
+
+using Gens=std::vector<int>;
+using Table=std::vector<Gens>;
diff --git a/cpu-opt/CMakeLists.txt b/cpu-opt/CMakeLists.txt
new file mode 100644
index 0000000..4d7e286
--- /dev/null
+++ b/cpu-opt/CMakeLists.txt
@@ -0,0 +1,3 @@
+set(CMAKE_CXX_FLAGS "-std=gnu++11 -fopenmp -O3")
+
+add_executable(cpu-opt main.cpp solver.hpp)
diff --git a/cpu-opt/main.cpp b/cpu-opt/main.cpp
new file mode 100644
index 0000000..79be89d
--- /dev/null
+++ b/cpu-opt/main.cpp
@@ -0,0 +1,15 @@
+#include <cstdlib>
+
+using Gen=int;
+using Cos=int;
+
+struct Rels {
+    Gen *gen[2];
+    int *size; // multiplicity * 2
+};
+
+int main(int argc, char *argv[]) {
+
+
+    return EXIT_SUCCESS;
+}
diff --git a/cpu-opt/solver.hpp b/cpu-opt/solver.hpp
new file mode 100644
index 0000000..79469d3
--- /dev/null
+++ b/cpu-opt/solver.hpp
@@ -0,0 +1,195 @@
+#pragma once
+
+#include <map>
+#include <vector>
+#include <algorithm>
+
+struct Mults;
+struct Table;
+struct IRow;
+
+struct Mults {
+    const int dim;
+    std::map<std::tuple<int, int>, int> mults;
+
+    explicit Mults(const int dim) : dim(dim) {
+        mults = std::map<std::tuple<int, int>, int>();
+    }
+
+    void set(int a, int b, int mult) {
+        if (a > b) std::swap(a, b);
+        mults[std::make_tuple(a, b)] = mult;
+    }
+
+    [[nodiscard]] int get(int a, int b) const {
+        if (a == b) return 1;
+        if (a > b) std::swap(a, b);
+
+        const auto &tup = std::make_tuple(a, b);
+        const auto &res = mults.find(tup);
+
+        if (res == mults.end()) return 2;
+        return res->second;
+    }
+
+    [[nodiscard]] std::vector<int> irelation(int a, int b) const {
+        std::vector<int> res{};
+        int mult = get(a, b);
+
+        for (int i = 0; i < mult; ++i) {
+            res.push_back(a);
+            res.push_back(b);
+        }
+
+        return res;
+    }
+
+    [[nodiscard]] Mults sub(const std::vector<int> &igens) const {
+        Mults res(igens.size());
+        for (int a = 0; a < (int) igens.size(); ++a) {
+            for (int b = a + 1; b < (int) igens.size(); ++b) {
+                res.set(a, b, get(igens[a], igens[b]));
+            }
+        }
+        return res;
+    }
+
+    [[nodiscard]] Table *isolve(const std::vector<int> &isubgens) const;
+};
+
+struct Table {
+    const Mults mults;
+    std::vector<std::vector<int>> fwd;
+
+    explicit Table(Mults mults) : mults(mults) {
+        add_row();
+    }
+
+    void add_row() {
+        fwd.emplace_back(mults.dim, -1);
+    }
+
+    int add_coset() {
+        for (int from = 0; from < (int) size(); ++from) {
+            for (int igen = 0; igen < (int) mults.dim; igen++) {
+                if (iget(from, igen) < 0) {
+                    int to = (int) size();
+                    add_row();
+                    iset(from, igen, to);
+                    return to;
+                }
+            }
+        }
+        return 0;
+    }
+
+    [[nodiscard]] unsigned size() const {
+        return fwd.size();
+    }
+
+    void iset(int from, int igen, int to) {
+        fwd[from][igen] = to;
+        fwd[to][igen] = from;
+    }
+
+    [[nodiscard]] int iget(int from, int igen) const {
+        return fwd[from][igen];
+    }
+
+    [[nodiscard]] int irget(int igen, int to) const {
+        return fwd[to][igen];
+    }
+
+};
+
+struct IRow {
+    std::vector<int>::const_iterator l;
+    std::vector<int>::const_iterator r;
+
+    int from;
+    int to;
+
+    IRow(const std::vector<int> &rel, int cos)
+        : l(rel.begin()), r(rel.end() - 1), from(cos), to(cos) {
+    }
+
+    [[nodiscard]] bool learn(Table *table) {
+        if (r - l == 0) {
+            return false;
+        }
+
+        while (r - l > 0) {
+            int next = table->iget(from, *l);
+            if (next < 0) break;
+            l++;
+            from = next;
+        }
+
+        while (r - l > 0) {
+            int next = table->irget(*r, to);
+            if (next < 0) break;
+            r--;
+            to = next;
+        }
+
+        if (r - l == 0) {
+            table->iset(from, *l, to);
+            return true;
+        }
+
+        return false;
+    }
+};
+
+Mults schlafli(const std::vector<int> &symbol) {
+    unsigned int dim = symbol.size();
+    Mults mults(dim + 1);
+    for (int i = 0; i < dim; ++i) {
+        mults.set(i, i + 1, symbol[i]);
+    }
+    return mults;
+}
+
+Table *Mults::isolve(const std::vector<int> &isubgens) const {
+    auto *table = new Table(*this);
+    for (int igen : isubgens)
+        table->iset(0, igen, 0);
+
+    std::vector<std::vector<int>> irels{};
+    for (unsigned a = 0; a < dim; ++a) {
+        for (unsigned b = a + 1; b < dim; ++b) {
+            irels.push_back(irelation(a, b));
+        }
+    }
+
+    std::vector<IRow> irows;
+    irows.reserve(irels.size());
+    for (const auto &irel : irels)
+        irows.emplace_back(irel, 0);
+
+    while (!irows.empty()) {
+        while (true) {
+            bool learned = false;
+            for (int i = (int) irows.size() - 1; i >= 0; i--) {
+                if (irows[i].learn(table)) {
+                    learned = true;
+                    irows.erase(irows.begin() + i);
+                }
+            }
+            if (!learned)
+                break;
+        }
+
+        int i = (int) table->size();
+        if (table->add_coset() > 0) {
+            for (const auto &irel : irels)
+                irows.emplace_back(irel, i);
+        } else {
+            break;
+        }
+    }
+
+    return table;
+}
+
+
diff --git a/cpu-slo/CMakeLists.txt b/cpu-slo/CMakeLists.txt
new file mode 100644
index 0000000..2b63699
--- /dev/null
+++ b/cpu-slo/CMakeLists.txt
@@ -0,0 +1,4 @@
+set(CMAKE_CXX_FLAGS "-std=gnu++11 -fopenmp -O3")
+
+add_executable(cpu-slo main.cpp)
+target_link_libraries(cpu-slo PRIVATE common)
diff --git a/Makefile b/cpu-slo/Makefile
similarity index 100%
rename from Makefile
rename to cpu-slo/Makefile
diff --git a/main.cpp b/cpu-slo/main.cpp
similarity index 62%
rename from main.cpp
rename to cpu-slo/main.cpp
index 52ada27..2ce9117 100644
--- a/main.cpp
+++ b/cpu-slo/main.cpp
@@ -5,8 +5,8 @@
 
 #include <omp.h>
 
-using Gens=std::vector<int>;
-using Table=std::vector<Gens>;
+#include <types.hpp>
+#include <groups.hpp>
 
 void pp(const Gens &g, int w) {
     for (const auto &e : g) {
@@ -149,144 +149,39 @@ Table solve_tc(int ngens, const Gens &subgens, const std::vector<Gens> &rels) {
     return cosets;
 }
 
-struct Mult {
-    int from, to, multiplicity;
-};
-
-Table mults(std::vector<Mult> ms) {
-    Table res;
-    for (const auto &m : ms) {
-	     int N = res.size();
-        res.emplace_back(m.multiplicity * 2, m.to);
-        for (int i = 0; i < m.multiplicity * 2; i += 2) {
-            res[N][i] = m.from;
-        }
-    }
-    return res;
-}
-
-Table ezmults(int ngens, std::vector<Mult> ms) {
-   bool table[ngens][ngens];
-
-   for (int i=0; i<ngens; i++) {
-      for (int j=0; j<ngens; j++) {
-         table[i][j] = false;
-      }
-   }
-
-   for (const auto &m : ms) {
-      table[m.from][m.to] = true;
-      table[m.to][m.from] = true;
-   }
-
-   Table res = mults(ms);
-   for (int i=0; i<ngens; i++) {
-      for (int j=i+1; j<ngens; j++) {
-         if (!table[i][j]) {
-            res.push_back({i,j,i,j});
-         }
-      }
-   }
-   return res;
-}
-
-/*
- * Order 4*res*res
- */
-std::pair<Table,int> torus(int res) {
-    return std::make_pair(ezmults(4,{
-        {0,1,res},
-        {2,3,res},
-    }),4);
-}
-
-/*
- * Order 14,400
- */
-std::pair<Table,int> H4() {
-   return std::make_pair(ezmults(4,{
-      {0,1,5},
-      {1,2,3},
-      {2,3,3},
-   }),4);
-}
-
-/*
- * Order 51,840
- */
-std::pair<Table,int> E6() {
-   return std::make_pair(ezmults(6,{
-      {0,1,3},
-      {1,2,3},
-      {2,3,3},
-      {2,4,3},
-      {4,5,3},
-   }),6);
-}
-
-/*
- * Order 2,903,040
- */
-std::pair<Table,int> E7() {
-   return std::make_pair(ezmults(7,{
-      {0,1,3},
-      {1,2,3},
-      {2,3,3},
-      {2,4,3},
-      {4,5,3},
-      {5,6,3},
-   }),7);
-}
-
-/*
- * Order 696,729,600
- */
-std::pair<Table,int> E8() {
-   return std::make_pair(ezmults(8,{
-      {0,1,3},
-      {1,2,3},
-      {2,3,3},
-      {2,4,3},
-      {4,5,3},
-      {5,6,3},
-      {6,7,3},
-   }),8);
-}
-
-int main(int argc, char *argv[]) {
+int main(int argc, const char *argv[]) {
     if (argc < 2) {
-        std::cerr << "REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE" << std::endl;
-        std::cerr << "gimme more ~~tendies~~ arguments" << std::endl;
+        std::cerr << "missing type argument." << std::endl;
         return 1;
     }
 
     int type = std::strtol(argv[1], nullptr, 10);
     int arg = 0;
-    std::pair<Table,int> res;
+    std::pair<Table, int> res;
     switch (type) {
-      case 0:
-         if (argc < 3) {
+    case 0:
+        if (argc < 3) {
             std::cerr << "Must provide a size for torus!" << std::endl;
             return 2;
-         }
-         arg = std::strtol(argv[2], nullptr, 10);
-         res = torus(arg);
-         break;
-      case 1:
-         res = H4();
-         break;
-      case 2:
-         res = E6();
-         break;
-      case 3:
-         res = E7();
-         break;
-      case 4:
-         res = E8();
-         break;
-      default:
-         std::cerr << "Not a valid type!" << std::endl;
-         return 3;
+        }
+        arg = std::strtol(argv[2], nullptr, 10);
+        res = torus(arg);
+        break;
+    case 1:
+        res = H4();
+        break;
+    case 2:
+        res = E6();
+        break;
+    case 3:
+        res = E7();
+        break;
+    case 4:
+        res = E8();
+        break;
+    default:
+        std::cerr << "Not a valid type!" << std::endl;
+        return 3;
     }
 
     const Table &rels = res.first;
@@ -300,7 +195,7 @@ int main(int argc, char *argv[]) {
     size_t order = cosets.size();
 
     // ngens,type,arg,time,order
-    std::cout << ngens << ',' << type << ',' << arg  << ',' << diff.count() << ',' << order << std::endl;
+    std::cout << ngens << ',' << type << ',' << arg << ',' << diff.count() << ',' << order << std::endl;
 
     return 0;
 }