mirror of
https://github.com/allemangD/toddcox-visualize.git
synced 2025-11-10 03:52:48 -05:00
Remove Group::name
This commit is contained in:
@@ -9,12 +9,11 @@ namespace tc {
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struct Group {
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int ngens;
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std::vector<std::vector<int>> _mults;
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std::string name;
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Group(const Group &) = default;
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explicit Group(int ngens, const std::vector<Rel> &rels = {}, std::string name = "G")
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: ngens(ngens), name(std::move(name)) {
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explicit Group(int ngens, const std::vector<Rel> &rels = {})
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: ngens(ngens) {
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_mults.resize(ngens);
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for (auto &mult: _mults) {
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@@ -47,33 +46,6 @@ namespace tc {
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[[nodiscard]] SubGroup subgroup(const std::vector<int> &gens) const;
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[[nodiscard]] Group product(const Group &other) const {
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std::stringstream ss;
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ss << name << "*" << other.name;
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Group g(ngens + other.ngens, rels(), ss.str());
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for (const auto &rel: other.rels()) {
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g.set(rel.shift(ngens));
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}
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return g;
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}
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[[nodiscard]] Group power(int p) const {
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std::stringstream ss;
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ss << name << "^" << p;
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Group g(ngens * p, {}, ss.str());
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for (const auto &rel: rels()) {
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for (int off = 0; off < g.ngens; off += ngens) {
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g.set(rel.shift(off));
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}
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}
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return g;
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}
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[[nodiscard]] Cosets solve(const std::vector<int> &sub_gens = {}) const;
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};
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@@ -4,12 +4,6 @@
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namespace tc {
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/**
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* Construct a group from a (simplified) Schlafli Symbol of the form [a, b, ..., c]
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* @param mults: The sequence of multiplicites between adjacent generators.
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*/
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Group schlafli(const std::vector<int> &mults, const std::string &name);
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/**
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* Construct a group from a (simplified) Schlafli Symbol of the form [a, b, ..., c]
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* @param mults: The sequence of multiplicites between adjacent generators.
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@@ -2,6 +2,6 @@
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namespace tc {
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SubGroup Group::subgroup(const std::vector<int> &gens) const {
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return SubGroup(*this, gens);
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return {*this, gens};
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}
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}
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@@ -3,118 +3,72 @@
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#include <sstream>
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namespace tc {
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Group schlafli(const std::vector<int> &mults, const std::string &name) {
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int ngens = (int) mults.size() + 1;
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Group g(ngens, {}, name);
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for (int i = 0; i < (int) mults.size(); i++) {
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g.set(Rel(i, i + 1, mults[i]));
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}
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return g;
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}
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Group schlafli(const std::vector<int> &mults) {
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std::stringstream ss;
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ss << "[";
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if (!mults.empty()) {
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for (size_t i = 0; i < mults.size() - 1; ++i) {
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ss << mults[i] << ",";
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}
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ss << mults.back();
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Group res(mults.size() + 1);
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for (int i = 0; i < mults.size(); ++i) {
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res.set(Rel{i, i + 1, mults[i]});
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}
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ss << "]";
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return schlafli(mults, ss.str());
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return res;
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}
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namespace group {
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Group A(const int dim) {
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std::stringstream ss;
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ss << "A(" << dim << ")";
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if (dim == 0)
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return Group(0, {}, ss.str());
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const std::vector<int> &mults = std::vector<int>(dim - 1, 3);
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return schlafli(mults, ss.str());
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if (dim == 0) return Group(0);
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return schlafli(std::vector<int>(dim - 1, 3));
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}
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Group B(const int dim) {
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std::stringstream ss;
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ss << "B(" << dim << ")";
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std::vector<int> mults(dim - 1, 3);
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mults[0] = 4;
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return schlafli(mults, ss.str());
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return schlafli(mults);
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}
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Group D(const int dim) {
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std::stringstream ss;
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ss << "D(" << dim << ")";
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std::vector<int> mults(dim - 1, 3);
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mults[dim - 2] = 2;
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Group g = schlafli(mults, ss.str());
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g.set(Rel(1, dim - 1, 3));
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Group g = schlafli(mults);
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g.set(Rel{1, dim - 1, 3});
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return g;
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}
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Group E(const int dim) {
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std::stringstream ss;
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ss << "E(" << dim << ")";
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std::vector<int> mults(dim - 1, 3);
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mults[dim - 2] = 2;
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Group g = schlafli(mults, ss.str());
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g.set(Rel(2, dim - 1, 3));
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Group g = schlafli(mults);
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g.set(Rel{2, dim - 1, 3});
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return g;
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}
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Group F4() {
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return schlafli({3, 4, 3}, "F4");
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return schlafli({3, 4, 3});
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}
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Group G2() {
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return schlafli({6}, "G2");
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return schlafli({6});
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}
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Group H(const int dim) {
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std::stringstream ss;
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ss << "H(" << dim << ")";
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std::vector<int> mults(dim - 1, 3);
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mults[0] = 5;
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return schlafli(mults, ss.str());
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return schlafli(mults);
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}
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Group I2(const int n) {
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std::stringstream ss;
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ss << "I2(" << n << ")";
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return schlafli({n}, ss.str());
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return schlafli({n});
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}
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Group T(const int n, const int m) {
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std::stringstream ss;
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ss << "T(" << n << "," << m << ")";
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return schlafli({n, 2, m}, ss.str());
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return schlafli({n, 2, m});
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}
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Group T(const int n) {
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std::stringstream ss;
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ss << "T(" << n << ")";
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return schlafli({n, 2, n}, ss.str());
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return T(n, n);
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}
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}
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}
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@@ -8,83 +8,83 @@
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int main(int argc, char *argv[]) {
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std::string key = argv[1];
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std::vector<std::pair<tc::Group, size_t>> groups;
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std::vector<std::tuple<std::string, tc::Group, size_t>> groups;
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// See the group orders here https://en.wikipedia.org/wiki/Coxeter_group#Properties
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if (key == "A") {
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groups = {
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{tc::group::A(1), 2},
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{tc::group::A(2), 6},
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{tc::group::A(3), 24},
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{tc::group::A(4), 120},
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{"A(1)", tc::group::A(1), 2},
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{"A(2)", tc::group::A(2), 6},
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{"A(3)", tc::group::A(3), 24},
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{"A(4)", tc::group::A(4), 120},
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};
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}
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if (key == "B") {
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groups = {
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{tc::group::B(2), 8},
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{tc::group::B(3), 48},
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{tc::group::B(4), 384},
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{tc::group::B(5), 3840},
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{tc::group::B(6), 46080},
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{"B(2)", tc::group::B(2), 8},
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{"B(3)", tc::group::B(3), 48},
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{"B(4)", tc::group::B(4), 384},
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{"B(5)", tc::group::B(5), 3840},
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{"B(6)", tc::group::B(6), 46080},
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};
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}
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if (key == "D") {
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groups = {
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{tc::group::D(2), 4},
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{tc::group::D(3), 24},
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{tc::group::D(4), 192},
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{tc::group::D(5), 1920},
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{tc::group::D(6), 23040},
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{"D(2)", tc::group::D(2), 4},
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{"D(3)", tc::group::D(3), 24},
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{"D(4)", tc::group::D(4), 192},
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{"D(5)", tc::group::D(5), 1920},
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{"D(6)", tc::group::D(6), 23040},
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};
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}
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if (key == "E") {
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groups = {
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{tc::group::E(3), 12},
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{tc::group::E(4), 120},
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{tc::group::E(5), 1920},
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{tc::group::E(6), 51840},
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{"E(3)", tc::group::E(3), 12},
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{"E(4)", tc::group::E(4), 120},
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{"E(5)", tc::group::E(5), 1920},
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{"E(6)", tc::group::E(6), 51840},
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};
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}
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if (key == "F") {
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groups = {
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{tc::group::F4(), 1152},
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{"F4()", tc::group::F4(), 1152},
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};
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}
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if (key == "G") {
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groups = {
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{tc::group::G2(), 12},
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{"G2()", tc::group::G2(), 12},
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};
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}
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if (key == "H") {
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groups = {
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{tc::group::H(2), 10},
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{tc::group::H(3), 120},
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{tc::group::H(4), 14400},
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{"H(2)", tc::group::H(2), 10},
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{"H(3)", tc::group::H(3), 120},
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{"H(4)", tc::group::H(4), 14400},
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};
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}
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if (key == "I") {
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groups = {
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{tc::group::I2(2), 4},
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{tc::group::I2(3), 6},
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{tc::group::I2(4), 8},
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{tc::group::I2(5), 10},
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{"I2(2)", tc::group::I2(2), 4},
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{"I2(3)", tc::group::I2(3), 6},
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{"I2(4)", tc::group::I2(4), 8},
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{"I2(5)", tc::group::I2(5), 10},
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};
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}
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if (key == "T") {
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groups = {
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{tc::group::T(3), 36},
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{tc::group::T(4), 64},
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{tc::group::T(400), 640000},
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{tc::group::T(400, 300), 480000},
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{"T(3)", tc::group::T(3), 36},
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{"T(4)", tc::group::T(4), 64},
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{"T(400)", tc::group::T(400), 640000},
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{"T(400, 300)", tc::group::T(400, 300), 480000},
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};
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}
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int status = EXIT_SUCCESS;
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for (const auto &[group, expected]: groups) {
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for (const auto &[name, group, expected]: groups) {
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auto cos = group.solve({});
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auto actual = cos.size();
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std::cout << group.name << " : " << actual;
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std::cout << name << " : " << actual;
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if (expected != actual) {
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std::cout << " (Expected " << expected << ")";
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status = EXIT_FAILURE;
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