Index: FuzzerDriver.cpp
===================================================================
--- FuzzerDriver.cpp
+++ FuzzerDriver.cpp
@@ -300,6 +300,10 @@
   while (true) {
     Unit U = FileToVector(CurrentFilePath);
     if (U.size() < 2) {
+      if (Flags.exact_artifact_path) {
+        CurrentFilePath = Flags.exact_artifact_path;
+        WriteToFile(U, CurrentFilePath);
+      }
       Printf("CRASH_MIN: '%s' is small enough\n", CurrentFilePath.c_str());
       return 0;
     }
@@ -342,7 +346,7 @@
   assert(Inputs->size() == 1);
   std::string InputFilePath = Inputs->at(0);
   Unit U = FileToVector(InputFilePath);
-  assert(U.size() > 2);
+  assert(U.size() >= 2);
   Printf("INFO: Starting MinimizeCrashInputInternalStep: %zd\n", U.size());
   Corpus->AddToCorpus(U, 0);
   F->SetMaxInputLen(U.size());
Index: FuzzerLoop.cpp
===================================================================
--- FuzzerLoop.cpp
+++ FuzzerLoop.cpp
@@ -792,7 +792,7 @@
 }
 
 void Fuzzer::MinimizeCrashLoop(const Unit &U) {
-  if (U.size() <= 2) return;
+  if (U.size() < 2) return;
   while (!TimedOut() && TotalNumberOfRuns < Options.MaxNumberOfRuns) {
     MD.StartMutationSequence();
     memcpy(CurrentUnitData, U.data(), U.size());