diff --git a/src/core/main.cc b/src/core/main.cc
index 2a8d5a7..7a7cf70 100644
--- a/src/core/main.cc
+++ b/src/core/main.cc
@@ -34,6 +34,124 @@ using klotski::cases::GroupUnion;
 using klotski::cases::TYPE_ID_LIMIT;
 using klotski::codec::SHORT_CODE_LIMIT;
 
+struct Pattern {
+    enum class Mirror {
+        Full,
+        V,
+        HV,
+        H,
+        Common,
+    };
+
+    Pattern(CommonCode s) : seed(s) {}
+
+    Mirror mirror;
+    uint32_t size;
+    CommonCode seed;
+    uint32_t group_size;
+    std::array<std::vector<CommonCode>, 4> cases {};
+};
+
+std::vector<CommonCode> split_group(std::unordered_set<uint64_t> &codes, CommonCode origin) {
+    std::vector<CommonCode> group;
+    for (auto raw_code : Group::extend(origin.to_raw_code())) {
+        auto common_code = raw_code.to_common_code();
+        codes.erase(common_code.unwrap());
+        group.emplace_back(common_code);
+    }
+    std::sort(group.begin(), group.end());
+    return group;
+}
+
+std::vector<Pattern> split_patterns(const std::vector<CommonCode> &common_codes) {
+    std::unordered_set<uint64_t> codes;
+    for (auto code : common_codes) {
+        codes.emplace(code.unwrap());
+    }
+
+    std::vector<Pattern> patterns;
+    while (true) {
+        if (codes.empty()) {
+            break;
+        }
+
+        auto code_a = CommonCode::unsafe_create(*std::min_element(codes.begin(), codes.end()));
+        auto code_b = code_a.to_horizontal_mirror();
+        auto code_c = code_a.to_vertical_mirror();
+        auto code_d = code_b.to_vertical_mirror();
+
+        auto group_a = split_group(codes, code_a);
+        auto group_b = split_group(codes, code_b);
+        auto group_c = split_group(codes, code_c);
+        auto group_d = split_group(codes, code_d);
+
+        Pattern pattern {code_a};
+        pattern.cases[0] = group_a;
+        pattern.size = group_a.size();
+        pattern.group_size = group_a.size();
+
+        if (group_a.size() != group_b.size() || group_a.size() != group_c.size() || group_a.size() != group_d.size()) {
+            std::cout << "group size not match" << std::endl;
+            break;
+        }
+
+        if (group_a == group_b && group_a == group_c && group_a == group_d) {
+            pattern.mirror = Pattern::Mirror::Full;
+        } else if (group_a != group_b && group_a != group_c && group_a != group_d && \
+                   group_b != group_c && group_b != group_d && group_c != group_d) {
+            pattern.mirror = Pattern::Mirror::Common;
+            pattern.cases[1] = group_b;
+            pattern.cases[2] = group_c;
+            pattern.cases[3] = group_d;
+            pattern.size *= 4;
+        } else if (group_a == group_b && group_c == group_d && group_a != group_c && group_b != group_d) {
+            pattern.mirror = Pattern::Mirror::V;
+            pattern.cases[1] = group_c;
+            pattern.size *= 2;
+        } else if (group_a == group_c && group_b == group_d && group_a != group_b && group_c != group_d) {
+            pattern.mirror = Pattern::Mirror::H;
+            pattern.cases[1] = group_b;
+            pattern.size *= 2;
+        } else if (group_a == group_d && group_b == group_c && group_a != group_b && group_c != group_d) {
+            pattern.mirror = Pattern::Mirror::HV;
+            pattern.cases[1] = group_b;
+            pattern.size *= 2;
+        } else {
+            std::cout << "unknown pattern" << std::endl;
+            break;
+        }
+
+        patterns.emplace_back(pattern);
+    }
+
+    std::sort(patterns.begin(), patterns.end(), [](const Pattern &lhs, const Pattern &rhs) {
+        if (lhs.size > rhs.size) {
+            return true;
+        }
+        if (lhs.size < rhs.size) {
+            return false;
+        }
+
+        if ((int)lhs.mirror < (int)rhs.mirror) {
+            return true;
+        }
+        if ((int)lhs.mirror > (int)rhs.mirror) {
+            return false;
+        }
+
+        if (lhs.seed < rhs.seed) {
+            return true;
+        }
+        if (lhs.seed > rhs.seed) {
+            return false;
+        }
+
+        std::cout << "pattern compare error" << std::endl;
+        return false;
+    });
+    return patterns;
+}
+
 int main() {
     // const auto start = clock();
 
@@ -53,35 +171,55 @@ int main() {
 //    std::cout << GroupCases::fast_obtain(CommonCode::unsafe_create(0x1A9BF0C00)) << std::endl;
 //    std::cout << GroupCases::fast_obtain(CommonCode::unsafe_create(0x4FEA13400)) << std::endl;
 
-    auto gu = GroupUnion::unsafe_create(169);
-    std::cout << gu.pattern_num() << std::endl;
-
-    std::cout << gu.group_num() << std::endl;
-    std::cout << gu.groups_pro().size() << std::endl;
-
-    const auto g = gu.groups_pro()[1];
-    std::cout << std::format("{}-{}-{}\n", g.type_id(), g.pattern_id(), g.mirror_toward());
+    uint32_t flat_id = 0;
+    for (uint32_t type_id = 0; type_id < TYPE_ID_LIMIT; ++type_id) {
+        auto gu = GroupUnion::unsafe_create(type_id);
+        auto patterns = split_patterns(gu.cases().codes());
+        if (gu.pattern_num() != patterns.size()) {
+            std::cout << "pattern number error" << std::endl;
+        }
 
-    const auto codes = g.cases().codes();
-    std::cout << codes.size() << std::endl;
-    for (const auto code : codes) {
-        if (code == 0x1A9BF0C00) {
-            std::cout << "get it" << std::endl;
+        for (auto &pattern : patterns) {
+            if (pattern.group_size != klotski::cases::GROUP_PRO_SIZE[flat_id]) {
+                std::cout << "pattern group size error" << std::endl;
+            }
+            if ((int)pattern.mirror != klotski::cases::GROUP_PRO_TYPE[flat_id]) {
+                std::cout << "pattern mirror type error" << std::endl;
+            }
+            if (pattern.seed != klotski::cases::GROUP_PRO_SEED[flat_id]) {
+                std::cout << "pattern seed error" << std::endl;
+            }
+            ++flat_id;
         }
     }
 
-    std::cout << g.is_vertical_mirror() << std::endl;
-    std::cout << g.is_horizontal_mirror() << std::endl;
-
-    auto g1 = g.to_vertical_mirror();
-    std::cout << std::format("{}-{}-{}\n", g1.type_id(), g1.pattern_id(), g1.mirror_toward());
-    auto g2 = g.to_horizontal_mirror();
-    std::cout << std::format("{}-{}-{}\n", g2.type_id(), g2.pattern_id(), g2.mirror_toward());
+//    std::cout << gu.pattern_num() << std::endl;
+//    std::cout << gu.group_num() << std::endl;
+//    std::cout << gu.groups_pro().size() << std::endl;
+//
+//    const auto g = gu.groups_pro()[1];
+//    std::cout << std::format("{}-{}-{}\n", g.type_id(), g.pattern_id(), g.mirror_toward());
+//
+//    const auto codes = g.cases().codes();
+//    std::cout << codes.size() << std::endl;
+//    for (const auto code : codes) {
+//        if (code == 0x1A9BF0C00) {
+//            std::cout << "get it" << std::endl;
+//        }
+//    }
+//
+//    std::cout << g.is_vertical_mirror() << std::endl;
+//    std::cout << g.is_horizontal_mirror() << std::endl;
+//
+//    auto g1 = g.to_vertical_mirror();
+//    std::cout << std::format("{}-{}-{}\n", g1.type_id(), g1.pattern_id(), g1.mirror_toward());
+//    auto g2 = g.to_horizontal_mirror();
+//    std::cout << std::format("{}-{}-{}\n", g2.type_id(), g2.pattern_id(), g2.mirror_toward());
 
 //    auto common_code = CommonCode::unsafe_create(0x1A9BF0C00);
-    auto common_code = CommonCode::unsafe_create(0x4FEA13400);
-    auto kk = GroupPro::from_common_code(common_code);
-    std::cout << std::format("{}-{}-{}\n", kk.type_id(), kk.pattern_id(), kk.mirror_toward());
+//    auto common_code = CommonCode::unsafe_create(0x4FEA13400);
+//    auto kk = GroupPro::from_common_code(common_code);
+//    std::cout << std::format("{}-{}-{}\n", kk.type_id(), kk.pattern_id(), kk.mirror_toward());
 
 //    auto gp = GroupPro::unsafe_create(169, 0, 0);
 //    std::cout << gp.size() << std::endl;