diff --git a/src/fast_cal/fast_cal.cc b/src/fast_cal/fast_cal.cc
index 42c7b8f..ecec5af 100644
--- a/src/fast_cal/fast_cal.cc
+++ b/src/fast_cal/fast_cal.cc
@@ -4,17 +4,17 @@
 #include "fast_cal.h"
 #include "raw_code.h"
 
+auto resolved = [](uint64_t code) {
+    return ((code >> (3 * 0xD)) & 0b111) == B_2x2; // check 2x2 block address
+};
+
 /// klotski resolved -> 2x2 block at address 13 (aka 0xD)
 RawCode FastCal::solve(RawCode code) {
-    return FastCal::target(code, [](uint64_t code) {
-        return ((code >> (3 * 0xD)) & 0b111) == B_2x2; // check 2x2 block address
-    });
+    return FastCal::target(code, resolved);
 }
 
 std::vector<RawCode> FastCal::solve_multi(RawCode code) {
-    return FastCal::target_multi(code, [](uint64_t code) {
-        return ((code >> (3 * 0xD)) & 0b111) == B_2x2; // check 2x2 block address
-    });
+    return FastCal::target_multi(code, resolved);
 }
 
 /// backtrack of FastCal tree
@@ -45,3 +45,16 @@ std::vector<RawCode> FastCal::backtrack(RawCode code) {
     std::reverse(path.begin(), path.end()); // reverse path cases
     return path;
 }
+
+std::vector<RawCode> FastCal::resolve(RawCode start) {
+    return FastCal::search(start, resolved);
+}
+
+std::vector<RawCode> FastCal::search(RawCode start, const FastCal::match_t &match) {
+    auto fc = FastCal();
+    auto result = fc.target(start, match);
+    if (result == FC_NOT_FOUND) {
+        return std::vector<RawCode>{}; // target not matched
+    }
+    return fc.backtrack(result); // backtrack target path
+}
diff --git a/src/fast_cal/fast_cal.h b/src/fast_cal/fast_cal.h
index 395745b..d5af9c7 100644
--- a/src/fast_cal/fast_cal.h
+++ b/src/fast_cal/fast_cal.h
@@ -20,19 +20,21 @@ public:
     std::vector<RawCode> backtrack(RawCode code);
 
     /// BFS search functions
+    // TODO: build function with void return -> build total tree
     RawCode solve(RawCode code);
     std::vector<RawCode> furthest(RawCode code);
     std::vector<RawCode> solve_multi(RawCode code);
     RawCode target(RawCode code, const match_t &match);
     std::vector<RawCode> target_multi(RawCode code, const match_t &match);
 
+    /// static BFS search functions
+//    static std::vector<RawCode> get_furthest(RawCode start);
 
-    // TODO: static search functions
-
-    // TODO: search / search_multi / resolve / resolve_multi
-    // TODO: static furthest function
-
+    static std::vector<RawCode> resolve(RawCode start);
+    static std::vector<RawCode> search(RawCode start, const match_t &match);
 
+//    static std::vector<std::vector<RawCode>> resolve_multi(RawCode start);
+//    static std::vector<std::vector<RawCode>> search_multi(RawCode start, const match_t &match);
 
 private:
     struct fast_cal_t {
diff --git a/src/main.cc b/src/main.cc
index 6eaf102..416f42a 100644
--- a/src/main.cc
+++ b/src/main.cc
@@ -25,9 +25,9 @@ int main() {
 
 //    AllCases::build();
 
-    auto f = FastCal();
+//    auto f = FastCal();
 //    auto ret = f.solve((uint64_t)RawCode::from_common_code("1a9bf0c"));
-    auto ret = f.solve(RawCode::from_common_code("1a9bf0c"));
+//    auto ret = f.solve(RawCode::from_common_code("1a9bf0c"));
 
 //    auto ret = f.target(RawCode::from_common_code("1a9bf0c"), [](uint64_t code) {
 //        return code == (uint64_t)RawCode::from_common_code(0xDB23B6C00);
@@ -36,15 +36,20 @@ int main() {
 
 //    auto ret = f.solve(RawCode::from_common_code("1aaef0c"));
 
-    if (ret == FC_NOT_FOUND) {
-        std::cout << "not found" << std::endl;
-    } else {
-        for (const auto &r : f.backtrack(ret)) {
-            std::cout << r << std::endl;
-        }
-        std::cout << "step number: " << f.step_num(ret) << std::endl;
+//    if (ret == FC_NOT_FOUND) {
+//        std::cout << "not found" << std::endl;
+//    } else {
+//        for (const auto &r : f.backtrack(ret)) {
+//            std::cout << r << std::endl;
+//        }
+//        std::cout << "step number: " << f.step_num(ret) << std::endl;
+//    }
+
+    for (const auto &c : FastCal::resolve(RawCode::from_common_code("1a9bf0c"))) {
+        std::cout << c << std::endl;
     }
 
+
 //    std::cout << f.step_num(ret) << std::endl;
 
 //    auto f = FastCal(RawCode::from_common_code("1a9bf0c").unwrap());