diff --git a/src/Makefile.am b/src/Makefile.am
index ea6aa369..1db63746 100644
--- a/src/Makefile.am
+++ b/src/Makefile.am
@@ -69,7 +69,9 @@ if BUILD_BITCOIN_UTILS
   bin_PROGRAMS += zcash-cli bitcoin-tx
 endif
 
+# TODO: rename to libzcash
 LIBZEROCASH_H = \
+  zcash/IncrementalMerkleTree.h \
   zerocash/Address.h \
   zerocash/CoinCommitment.h \
   zerocash/Coin.h \
@@ -411,6 +413,7 @@ bitcoin_tx_LDADD += $(BOOST_LIBS) $(CRYPTO_LIBS)
 
 # zerocash protocol primitives #
 libzerocash_a_SOURCES = \
+  zcash/IncrementalMerkleTree.cpp \
   zerocash/Address.cpp \
   zerocash/CoinCommitment.cpp \
   zerocash/Coin.cpp \
diff --git a/src/Makefile.test.include b/src/Makefile.test.include
index 72d38e7c..f6065de5 100644
--- a/src/Makefile.test.include
+++ b/src/Makefile.test.include
@@ -25,7 +25,11 @@ JSON_TEST_FILES = \
   test/data/script_invalid.json \
   test/data/tx_invalid.json \
   test/data/tx_valid.json \
-  test/data/sighash.json
+  test/data/sighash.json \
+  test/data/merkle_roots.json \
+  test/data/merkle_serialization.json \
+  test/data/merkle_witness_serialization.json \
+  test/data/merkle_path.json
 
 RAW_TEST_FILES = test/data/alertTests.raw
 
@@ -78,7 +82,8 @@ BITCOIN_TESTS =\
   test/uint256_tests.cpp \
   test/univalue_tests.cpp \
   test/util_tests.cpp \
-  test/sha256compress_tests.cpp
+  test/sha256compress_tests.cpp \
+  test/merkle_tests.cpp
 
 if ENABLE_WALLET
 BITCOIN_TESTS += \
diff --git a/src/coins.h b/src/coins.h
index d128eb9b..53f04717 100644
--- a/src/coins.h
+++ b/src/coins.h
@@ -17,8 +17,7 @@
 #include <boost/foreach.hpp>
 #include <boost/unordered_map.hpp>
 #include "zerocash/IncrementalMerkleTree.h"
-
-static const unsigned int INCREMENTAL_MERKLE_TREE_DEPTH = 20;
+#include "zcash/IncrementalMerkleTree.hpp"
 
 /** 
  * Pruned version of CTransaction: only retains metadata and unspent transaction outputs
diff --git a/src/serialize.h b/src/serialize.h
index 0644a852..aca3ed07 100644
--- a/src/serialize.h
+++ b/src/serialize.h
@@ -752,10 +752,12 @@ void Unserialize(Stream& is, boost::optional<T>& item, int nType, int nVersion)
 
     if (discriminant == 0x00) {
         item = boost::none;
-    } else {
+    } else if (discriminant == 0x01) {
         T object;
         Unserialize(is, object, nType, nVersion);
         item = object;
+    } else {
+        throw std::ios_base::failure("non-canonical optional discriminant");
     }
 }
 
diff --git a/src/test/data/merkle_path.json b/src/test/data/merkle_path.json
new file mode 100644
index 00000000..91957c43
--- /dev/null
+++ b/src/test/data/merkle_path.json
@@ -0,0 +1,122 @@
+[
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000100010001000001010101000000000000000101010001010000000001000000010101010001010001010101010001010001000001000000010000010001000000010101000001000100010100010101010100000001000100000001010001010001000000000100010101000000000100000100010001010101010001000100000001010001010001000100010101010100010000010101010000010001010100000101010100010100000001010101010101000101000001010001000000000100000001010001010101000101000100000001010100010100010101000100010001010001010101010000000001000001000000010000000001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000100010001000001010101000000000000000101010001010000000001000000010101010001010001010101010001010001000001000000010000010001000000010101000001000100010100010101010100000001000100000001010001010001000000000100010101000000000100000100010001010101010001000100000001010001010001000100010101010100010000010101010000010001010100000101010100010100000001010101010101000101000001010001000000000100000001010001010101000101000100000001010100010100010101000100010001010001010101010000000001000001000000010000000001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100010001010101010001010000000001000001000000010101000101000001010001010001010101000000000101000001010001000101010000010001010000010101010101010100010101010101010000010001000000010001000000000100010100000101000101010001010101010101000000000100010100010100010100000001000100000101010100000101000001010101010000010001000000000100010001000001010001010001010001010001000001010101010100000000000000000000010000000001000100000100000101010100000001010101010100000100010100010100000001000101010001000100000001000001010001fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100010001010101010001010000000001000001000000010101000101000001010001010001010101000000000101000001010001000101010000010001010000010101010101010100010101010101010000010001000000010001000000000100010100000101000101010001010101010101000000000100010100010100010100000001000100000101010100000101000001010101010000010001000000000100010001000001010001010001010001010001000001010101010100000000000000000000010000000001000100000100000101010100000001010101010100000100010100010100000001000101010001000100000001000001010001fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100010001010101010001010000000001000001000000010101000101000001010001010001010101000000000101000001010001000101010000010001010000010101010101010100010101010101010000010001000000010001000000000100010100000101000101010001010101010101000000000100010100010100010100000001000100000101010100000101000001010101010000010001000000000100010001000001010001010001010001010001000001010101010100000000000000000000010000000001000100000100000101010100000001010101010100000100010100010100000001000101010001000100000001000001010001fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100010001010101010001010000000001000001000000010101000101000001010001010001010101000000000101000001010001000101010000010001010000010101010101010100010101010101010000010001000000010001000000000100010100000101000101010001010101010101000000000100010100010100010100000001000100000101010100000101000001010101010000010001000000000100010001000001010001010001010001010001000001010101010100000000000000000000010000000001000100000100000101010100000001010101010100000100010100010100000001000101010001000100000001000001010001fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000001010101000100010101000101000100010001010101000001010101000101010000010100000001000001000100000001010100010001000001010001010000000001000100010000000000010001000000010001000000000000000000010000010001010100010001000001010100010100010000000100000001000100010100010000000000000100000000010100000001010101000000000100000100010101010101000001000000010000000101010001000000010100000001000101000001010001000000000101010000010000000001000101000000010100000100000001000001010000010001010101010001010001000001010100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000001010101000100010101000101000100010001010101000001010101000101010000010100000001000001000100000001010100010001000001010001010000000001000100010000000000010001000000010001000000000000000000010000010001010100010001000001010100010100010000000100000001000100010100010000000000000100000000010100000001010101000000000100000100010101010101000001000000010000000101010001000000010100000001000101000001010001000000000101010000010000000001000101000000010100000100000001000001010000010001010101010001010001000001010100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000001010101000100010101000101000100010001010101000001010101000101010000010100000001000001000100000001010100010001000001010001010000000001000100010000000000010001000000010001000000000000000000010000010001010100010001000001010100010100010000000100000001000100010100010000000000000100000000010100000001010101000000000100000100010101010101000001000000010000000101010001000000010100000001000101000001010001000000000101010000010000000001000101000000010100000100000001000001010000010001010101010001010001000001010100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000001010101000100010101000101000100010001010101000001010101000101010000010100000001000001000100000001010100010001000001010001010000000001000100010000000000010001000000010001000000000000000000010000010001010100010001000001010100010100010000000100000001000100010100010000000000000100000000010100000001010101000000000100000100010101010101000001000000010000000101010001000000010100000001000101000001010001000000000101010000010000000001000101000000010100000100000001000001010000010001010101010001010001000001010100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010000",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100010101010001010000010001000000010100000001010100000000010001000000000101010101000001000100010100010000010001010001010101010000010101000101010100010001000000010100000001010100010001000000000100000101010001000000000100010100000001010000010001000000000000010101000000010101010001000101010101010100010100000000010100010101000101000100010101000000010101000000010101000001000001000101010000000101010000000000000001010101010001010001010100010000000001010100000101000000000101010001010100000101000101010000010000000100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100010101010001010000010001000000010100000001010100000000010001000000000101010101000001000100010100010000010001010001010101010000010101000101010100010001000000010100000001010100010001000000000100000101010001000000000100010100000001010000010001000000000000010101000000010101010001000101010101010100010100000000010100010101000101000100010101000000010101000000010101000001000001000101010000000101010000000000000001010101010001010001010100010000000001010100000101000000000101010001010100000101000101010000010000000100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100010101010001010000010001000000010100000001010100000000010001000000000101010101000001000100010100010000010001010001010101010000010101000101010100010001000000010100000001010100010001000000000100000101010001000000000100010100000001010000010001000000000000010101000000010101010001000101010101010100010100000000010100010101000101000100010101000000010101000000010101000001000001000101010000000101010000000000000001010101010001010001010100010000000001010100000101000000000101010001010100000101000101010000010000000100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100010101010001010000010001000000010100000001010100000000010001000000000101010101000001000100010100010000010001010001010101010000010101000101010100010001000000010100000001010100010001000000000100000101010001000000000100010100000001010000010001000000000000010101000000010101010001000101010101010100010100000000010100010101000101000100010101000000010101000000010101000001000001000101010000000101010000000000000001010101010001010001010100010000000001010100000101000000000101010001010100000101000101010000010000000100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000100000000000100010001000001010101000000000000000101010001010000000001000000010101010001010001010101010001010001000001000000010000010001000000010101000001000100010100010101010100000001000100000001010001010001000000000100010101000000000100000100010001010101010001000100000001010001010001000100010101010100010000010101010000010001010100000101010100010100000001010101010101000101000001010001000000000100000001010001010101000101000100000001010100010100010101000100010001010001010101010000000001000001000000010000000001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010000",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000100000000000100010001000001010101000000000000000101010001010000000001000000010101010001010001010101010001010001000001000000010000010001000000010101000001000100010100010101010100000001000100000001010001010001000000000100010101000000000100000100010001010101010001000100000001010001010001000100010101010100010000010101010000010001010100000101010100010100000001010101010101000101000001010001000000000100000001010001010101000101000100000001010100010100010101000100010001010001010101010000000001000001000000010000000001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010001",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010000",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010001",
+	"04fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010100",
+	"04fd000100010101010001010101000001010101000100010000000001000000000100000000010000000100010000010101010000000100000001010100000000010001000001000000000101000000010000010001000101010000000100010100000001010100000101010101000000010001000101010001000101010001010101010001010001010101000101010000010100010101010101000000000101010101010001010100000000010100010100010001010001000101000001000101000001010100000101010000010000010000010000010001010000010100010001000101000100010100000000010100000100000101010101000100010001010101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000100010101010001010101000001010101000100010000000001000000000100000000010000000100010000010101010000000100000001010100000000010001000001000000000101000000010000010001000101010000000100010100000001010100000101010101000000010001000101010001000101010001010101010001010001010101000101010000010100010101010101000000000101010101010001010100000000010100010100010001010001000101000001000101000001010100000101010000010000010000010000010001010000010100010001000101000100010100000000010100000100000101010101000100010001010101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000100010101010001010101000001010101000100010000000001000000000100000000010000000100010000010101010000000100000001010100000000010001000001000000000101000000010000010001000101010000000100010100000001010100000101010101000000010001000101010001000101010001010101010001010001010101000101010000010100010101010101000000000101010101010001010100000000010100010100010001010001000101000001000101000001010100000101010000010000010000010000010001010000010100010001000101000100010100000000010100000100000101010101000100010001010101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000100010101010001010101000001010101000100010000000001000000000100000000010000000100010000010101010000000100000001010100000000010001000001000000000101000000010000010001000101010000000100010100000001010100000101010101000000010001000101010001000101010001010101010001010001010101000101010000010100010101010101000000000101010101010001010100000000010100010100010001010001000101000001000101000001010100000101010000010000010000010000010001010000010100010001000101000100010100000000010100000100000101010101000100010001010101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000100010101010001010101000001010101000100010000000001000000000100000000010000000100010000010101010000000100000001010100000000010001000001000000000101000000010000010001000101010000000100010100000001010100000101010101000000010001000101010001000101010001010101010001010001010101000101010000010100010101010101000000000101010101010001010100000000010100010100010001010001000101000001000101000001010100000101010000010000010000010000010001010000010100010001000101000100010100000000010100000100000101010101000100010001010101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010000",
+	"04fd000100010101010001010101000001010101000100010000000001000000000100000000010000000100010000010101010000000100000001010100000000010001000001000000000101000000010000010001000101010000000100010100000001010100000101010101000000010001000101010001000101010001010101010001010001010101000101010000010100010101010101000000000101010101010001010100000000010100010100010001010001000101000001000101000001010100000101010000010000010000010000010001010000010100010001000101000100010100000000010100000100000101010101000100010001010101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010001",
+	"04fd000100010101010001010101000001010101000100010000000001000000000100000000010000000100010000010101010000000100000001010100000000010001000001000000000101000000010000010001000101010000000100010100000001010100000101010101000000010001000101010001000101010001010101010001010001010101000101010000010100010101010101000000000101010101010001010100000000010100010100010001010001000101000001000101000001010100000101010000010000010000010000010001010000010100010001000101000100010100000000010100000100000101010101000100010001010101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010100",
+	"04fd000100010101010001010101000001010101000100010000000001000000000100000000010000000100010000010101010000000100000001010100000000010001000001000000000101000000010000010001000101010000000100010100000001010100000101010101000000010001000101010001000101010001010101010001010001010101000101010000010100010101010101000000000101010101010001010100000000010100010100010001010001000101000001000101000001010100000101010000010000010000010000010001010000010100010001000101000100010100000000010100000100000101010101000100010001010101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010101",
+	"04fd000101000100010001000100010100000001010101010100000100010001010001010100010100010101010100000000010001010000000101000001000101000001010101000001010100000100010001010000010001010000000100010000010001000100000101010101010100000100010100000101000000010000010000010000010101010001000100000001000101010001000101010101010100010100010100010101010000010101010001000100000100000100010100000101010000000000000000000000000101000100010000010100010001000101010101000001000101010101000101000100000001000000010101000000000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000101000100010001000100010100000001010101010100000100010001010001010100010100010101010100000000010001010000000101000001000101000001010101000001010100000100010001010000010001010000000100010000010001000100000101010101010100000100010100000101000000010000010000010000010101010001000100000001000101010001000101010101010100010100010100010101010000010101010001000100000100000100010100000101010000000000000000000000000101000100010000010100010001000101010101000001000101010101000101000100000001000000010101000000000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000101000100010001000100010100000001010101010100000100010001010001010100010100010101010100000000010001010000000101000001000101000001010101000001010100000100010001010000010001010000000100010000010001000100000101010101010100000100010100000101000000010000010000010000010101010001000100000001000101010001000101010101010100010100010100010101010000010101010001000100000100000100010100000101010000000000000000000000000101000100010000010100010001000101010101000001000101010101000101000100000001000000010101000000000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000101000100010001000100010100000001010101010100000100010001010001010100010100010101010100000000010001010000000101000001000101000001010101000001010100000100010001010000010001010000000100010000010001000100000101010101010100000100010100000101000000010000010000010000010101010001000100000001000101010001000101010101010100010100010100010101010000010101010001000100000100000100010100000101010000000000000000000000000101000100010000010100010001000101010101000001000101010101000101000100000001000000010101000000000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000101000100010001000100010100000001010101010100000100010001010001010100010100010101010100000000010001010000000101000001000101000001010101000001010100000100010001010000010001010000000100010000010001000100000101010101010100000100010100000101000000010000010000010000010101010001000100000001000101010001000101010101010100010100010100010101010000010101010001000100000100000100010100000101010000000000000000000000000101000100010000010100010001000101010101000001000101010101000101000100000001000000010101000000000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010000",
+	"04fd000101000100010001000100010100000001010101010100000100010001010001010100010100010101010100000000010001010000000101000001000101000001010101000001010100000100010001010000010001010000000100010000010001000100000101010101010100000100010100000101000000010000010000010000010101010001000100000001000101010001000101010101010100010100010100010101010000010101010001000100000100000100010100000101010000000000000000000000000101000100010000010100010001000101010101000001000101010101000101000100000001000000010101000000000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010001",
+	"04fd000101000100010001000100010100000001010101010100000100010001010001010100010100010101010100000000010001010000000101000001000101000001010101000001010100000100010001010000010001010000000100010000010001000100000101010101010100000100010100000101000000010000010000010000010101010001000100000001000101010001000101010101010100010100010100010101010000010101010001000100000100000100010100000101010000000000000000000000000101000100010000010100010001000101010101000001000101010101000101000100000001000000010101000000000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010100",
+	"04fd000101000100010001000100010100000001010101010100000100010001010001010100010100010101010100000000010001010000000101000001000101000001010101000001010100000100010001010000010001010000000100010000010001000100000101010101010100000100010100000101000000010000010000010000010101010001000100000001000101010001000101010101010100010100010100010101010000010101010001000100000100000100010100000101010000000000000000000000000101000100010000010100010001000101010101000001000101010101000101000100000001000000010101000000000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010101",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000000",
+	"04fd000101000101000000000101010101000000000000010000000100000101010001010001010000010001010101000101000100000100000101000001010000010000000000000000010101010101000001000001000000000101000101010001010000010000000001010101000000010100000000010101000001000101000000010001010001000100010101000001010000000000000100010101010101010000010101010001000001010101000000000001010000010001000100000101000100010001000001010000000000010000000001010000000100000000010100010101010101000000010000000101000001000101010100000101010100010100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000101000101000000000101010101000000000000010000000100000101010001010001010000010001010101000101000100000100000101000001010000010000000000000000010101010101000001000001000000000101000101010001010000010000000001010101000000010100000000010101000001000101000000010001010001000100010101000001010000000000000100010101010101010000010101010001000001010101000000000001010000010001000100000101000100010001000001010000000000010000000001010000000100000000010100010101010101000000010000000101000001000101010100000101010100010100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000101000101000000000101010101000000000000010000000100000101010001010001010000010001010101000101000100000100000101000001010000010000000000000000010101010101000001000001000000000101000101010001010000010000000001010101000000010100000000010101000001000101000000010001010001000100010101000001010000000000000100010101010101010000010101010001000001010101000000000001010000010001000100000101000100010001000001010000000000010000000001010000000100000000010100010101010101000000010000000101000001000101010100000101010100010100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000101000101000000000101010101000000000000010000000100000101010001010001010000010001010101000101000100000100000101000001010000010000000000000000010101010101000001000001000000000101000101010001010000010000000001010101000000010100000000010101000001000101000000010001010001000100010101000001010000000000000100010101010101010000010101010001000001010101000000000001010000010001000100000101000100010001000001010000000000010000000001010000000100000000010100010101010101000000010000000101000001000101010100000101010100010100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000101000101000000000101010101000000000000010000000100000101010001010001010000010001010101000101000100000100000101000001010000010000000000000000010101010101000001000001000000000101000101010001010000010000000001010101000000010100000000010101000001000101000000010001010001000100010101000001010000000000000100010101010101010000010101010001000001010101000000000001010000010001000100000101000100010001000001010000000000010000000001010000000100000000010100010101010101000000010000000101000001000101010100000101010100010100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010000",
+	"04fd000101000101000000000101010101000000000000010000000100000101010001010001010000010001010101000101000100000100000101000001010000010000000000000000010101010101000001000001000000000101000101010001010000010000000001010101000000010100000000010101000001000101000000010001010001000100010101000001010000000000000100010101010101010000010101010001000001010101000000000001010000010001000100000101000100010001000001010000000000010000000001010000000100000000010100010101010101000000010000000101000001000101010100000101010100010100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010001",
+	"04fd000101000101000000000101010101000000000000010000000100000101010001010001010000010001010101000101000100000100000101000001010000010000000000000000010101010101000001000001000000000101000101010001010000010000000001010101000000010100000000010101000001000101000000010001010001000100010101000001010000000000000100010101010101010000010101010001000001010101000000000001010000010001000100000101000100010001000001010000000000010000000001010000000100000000010100010101010101000000010000000101000001000101010100000101010100010100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010100",
+	"04fd000101000101000000000101010101000000000000010000000100000101010001010001010000010001010101000101000100000100000101000001010000010000000000000000010101010101000001000001000000000101000101010001010000010000000001010101000000010100000000010101000001000101000000010001010001000100010101000001010000000000000100010101010101010000010101010001000001010101000000000001010000010001000100000101000100010001000001010000000000010000000001010000000100000000010100010101010101000000010000000101000001000101010100000101010100010100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010101",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000100010001000001010101000000000000000101010001010000000001000000010101010001010001010101010001010001000001000000010000010001000000010101000001000100010100010101010100000001000100000001010001010001000000000100010101000000000100000100010001010101010001000100000001010001010001000100010101010100010000010101010000010001010100000101010100010100000001010101010101000101000001010001000000000100000001010001010101000101000100000001010100010100010101000100010001010001010101010000000001000001000000010000000001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000000",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000100000000000100010001000001010101000000000000000101010001010000000001000000010101010001010001010101010001010001000001000000010000010001000000010101000001000100010100010101010100000001000100000001010001010001000000000100010101000000000100000100010001010101010001000100000001010001010001000100010101010100010000010101010000010001010100000101010100010100000001010101010101000101000001010001000000000100000001010001010101000101000100000001010100010100010101000100010001010001010101010000000001000001000000010000000001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000001",
+	"04fd000101010000010101010000000101010101010100010000010001010000000001010001010100010101010100000100000100010101010101010100010100010101010001010100000101010000000000000100010100000100010101010001000101000101010001010001000101010000000100000000000000000001010100010001000100000001000101010001010001000100010101010001000101000100010001010001000000000001000101010001000100000101000000000101000000000100010001010001000100000100010100010000010000010101010100000001010100010001010000010000010000000000000101010000000101000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000101010000010101010000000101010101010100010000010001010000000001010001010100010101010100000100000100010101010101010100010100010101010001010100000101010000000000000100010100000100010101010001000101000101010001010001000101010000000100000000000000000001010100010001000100000001000101010001010001000100010101010001000101000100010001010001000000000001000101010001000100000101000000000101000000000100010001010001000100000100010100010000010000010101010100000001010100010001010000010000010000000000000101010000000101000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000101010000010101010000000101010101010100010000010001010000000001010001010100010101010100000100000100010101010101010100010100010101010001010100000101010000000000000100010100000100010101010001000101000101010001010001000101010000000100000000000000000001010100010001000100000001000101010001010001000100010101010001000101000100010001010001000000000001000101010001000100000101000000000101000000000100010001010001000100000100010100010000010000010101010100000001010100010001010000010000010000000000000101010000000101000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000101010000010101010000000101010101010100010000010001010000000001010001010100010101010100000100000100010101010101010100010100010101010001010100000101010000000000000100010100000100010101010001000101000101010001010001000101010000000100000000000000000001010100010001000100000001000101010001010001000100010101010001000101000100010001010001000000000001000101010001000100000101000000000101000000000100010001010001000100000100010100010000010000010101010100000001010100010001010000010000010000000000000101010000000101000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000101010000010101010000000101010101010100010000010001010000000001010001010100010101010100000100000100010101010101010100010100010101010001010100000101010000000000000100010100000100010101010001000101000101010001010001000101010000000100000000000000000001010100010001000100000001000101010001010001000100010101010001000101000100010001010001000000000001000101010001000100000101000000000101000000000100010001010001000100000100010100010000010000010101010100000001010100010001010000010000010000000000000101010000000101000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010000",
+	"04fd000101010000010101010000000101010101010100010000010001010000000001010001010100010101010100000100000100010101010101010100010100010101010001010100000101010000000000000100010100000100010101010001000101000101010001010001000101010000000100000000000000000001010100010001000100000001000101010001010001000100010101010001000101000100010001010001000000000001000101010001000100000101000000000101000000000100010001010001000100000100010100010000010000010101010100000001010100010001010000010000010000000000000101010000000101000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010001",
+	"04fd000101010000010101010000000101010101010100010000010001010000000001010001010100010101010100000100000100010101010101010100010100010101010001010100000101010000000000000100010100000100010101010001000101000101010001010001000101010000000100000000000000000001010100010001000100000001000101010001010001000100010101010001000101000100010001010001000000000001000101010001000100000101000000000101000000000100010001010001000100000100010100010000010000010101010100000001010100010001010000010000010000000000000101010000000101000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010100",
+	"04fd000101010000010101010000000101010101010100010000010001010000000001010001010100010101010100000100000100010101010101010100010100010101010001010100000101010000000000000100010100000100010101010001000101000101010001010001000101010000000100000000000000000001010100010001000100000001000101010001010001000100010101010001000101000100010001010001000000000001000101010001000100000101000000000101000000000100010001010001000100000100010100010000010000010101010100000001010100010001010000010000010000000000000101010000000101000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010101",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000000",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000001",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000100",
+	"04fd000101000101000000010000000100000000010101010100000100000001000101010001010101010001000100010101000100000001000000000100010001010101010101000101010001010100010100010001000100010100000000000101010100000100010100000101000001000000000001000000010100010100000101010001000000010100010000000100010000010000000001000101010000010100000001000000010100000101000001000000000101000000010100010001000000010000010100010101000100000101010100010000000000010101010101010101010100010101000001000101010000000101010001000001000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000101000101000000010000000100000000010101010100000100000001000101010001010101010001000100010101000100000001000000000100010001010101010101000101010001010100010100010001000100010100000000000101010100000100010100000101000001000000000001000000010100010100000101010001000000010100010000000100010000010000000001000101010000010100000001000000010100000101000001000000000101000000010100010001000000010000010100010101000100000101010100010000000000010101010101010101010100010101000001000101010000000101010001000001000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000101000101000000010000000100000000010101010100000100000001000101010001010101010001000100010101000100000001000000000100010001010101010101000101010001010100010100010001000100010100000000000101010100000100010100000101000001000000000001000000010100010100000101010001000000010100010000000100010000010000000001000101010000010100000001000000010100000101000001000000000101000000010100010001000000010000010100010101000100000101010100010000000000010101010101010101010100010101000001000101010000000101010001000001000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000101000101000000010000000100000000010101010100000100000001000101010001010101010001000100010101000100000001000000000100010001010101010101000101010001010100010100010001000100010100000000000101010100000100010100000101000001000000000001000000010100010100000101010001000000010100010000000100010000010000000001000101010000010100000001000000010100000101000001000000000101000000010100010001000000010000010100010101000100000101010100010000000000010101010101010101010100010101000001000101010000000101010001000001000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000101000101000000010000000100000000010101010100000100000001000101010001010101010001000100010101000100000001000000000100010001010101010101000101010001010100010100010001000100010100000000000101010100000100010100000101000001000000000001000000010100010100000101010001000000010100010000000100010000010000000001000101010000010100000001000000010100000101000001000000000101000000010100010001000000010000010100010101000100000101010100010000000000010101010101010101010100010101000001000101010000000101010001000001000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010000",
+	"04fd000101000101000000010000000100000000010101010100000100000001000101010001010101010001000100010101000100000001000000000100010001010101010101000101010001010100010100010001000100010100000000000101010100000100010100000101000001000000000001000000010100010100000101010001000000010100010000000100010000010000000001000101010000010100000001000000010100000101000001000000000101000000010100010001000000010000010100010101000100000101010100010000000000010101010101010101010100010101000001000101010000000101010001000001000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010001",
+	"04fd000101000101000000010000000100000000010101010100000100000001000101010001010101010001000100010101000100000001000000000100010001010101010101000101010001010100010100010001000100010100000000000101010100000100010100000101000001000000000001000000010100010100000101010001000000010100010000000100010000010000000001000101010000010100000001000000010100000101000001000000000101000000010100010001000000010000010100010101000100000101010100010000000000010101010101010101010100010101000001000101010000000101010001000001000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010100",
+	"04fd000101000101000000010000000100000000010101010100000100000001000101010001010101010001000100010101000100000001000000000100010001010101010101000101010001010100010100010001000100010100000000000101010100000100010100000101000001000000000001000000010100010100000101010001000000010100010000000100010000010000000001000101010000010100000001000000010100000101000001000000000101000000010100010001000000010000010100010101000100000101010100010000000000010101010101010101010100010101000001000101010000000101010001000001000101010000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010101",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100010001010101010001010000000001000001000000010101000101000001010001010001010101000000000101000001010001000101010000010001010000010101010101010100010101010101010000010001000000010001000000000100010100000101000101010001010101010101000000000100010100010100010100000001000100000101010100000101000001010101010000010001000000000100010001000001010001010001010001010001000001010101010100000000000000000000010000000001000100000100000101010100000001010101010100000100010100010100000001000101010001000100000001000001010001fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000000",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100010001010101010001010000000001000001000000010101000101000001010001010001010101000000000101000001010001000101010000010001010000010101010101010100010101010101010000010001000000010001000000000100010100000101000101010001010101010101000000000100010100010100010100000001000100000101010100000101000001010101010000010001000000000100010001000001010001010001010001010001000001010101010100000000000000000000010000000001000100000100000101010100000001010101010100000100010100010100000001000101010001000100000001000001010001fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000001",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100010001010101010001010000000001000001000000010101000101000001010001010001010101000000000101000001010001000101010000010001010000010101010101010100010101010101010000010001000000010001000000000100010100000101000101010001010101010101000000000100010100010100010100000001000100000101010100000101000001010101010000010001000000000100010001000001010001010001010001010001000001010101010100000000000000000000010000000001000100000100000101010100000001010101010100000100010100010100000001000101010001000100000001000001010001fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000100",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100010001010101010001010000000001000001000000010101000101000001010001010001010101000000000101000001010001000101010000010001010000010101010101010100010101010101010000010001000000010001000000000100010100000101000101010001010101010101000000000100010100010100010100000001000100000101010100000101000001010101010000010001000000000100010001000001010001010001010001010001000001010101010100000000000000000000010000000001000100000100000101010100000001010101010100000100010100010100000001000101010001000100000001000001010001fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000101",
+	"04fd000101000100000101010000000100000000010001010101000100010100000000000100010001010101000101010100010100000001010000010000000100000100000000000100000000010001010101000001010100000100000100010101010000000000000101010000010101010001010100000100000001000100000001010100000101010001000100010000010100000101010100010100000100000001000001010100010000000100010100000000010101010100000000010101010100010000000100000001000000010001000100000100000101000001000101000000010100010000010000010100010100000000000000000001010101000100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000101000100000101010000000100000000010001010101000100010100000000000100010001010101000101010100010100000001010000010000000100000100000000000100000000010001010101000001010100000100000100010101010000000000000101010000010101010001010100000100000001000100000001010100000101010001000100010000010100000101010100010100000100000001000001010100010000000100010100000000010101010100000000010101010100010000000100000001000000010001000100000100000101000001000101000000010100010000010000010100010100000000000000000001010101000100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000101000100000101010000000100000000010001010101000100010100000000000100010001010101000101010100010100000001010000010000000100000100000000000100000000010001010101000001010100000100000100010101010000000000000101010000010101010001010100000100000001000100000001010100000101010001000100010000010100000101010100010100000100000001000001010100010000000100010100000000010101010100000000010101010100010000000100000001000000010001000100000100000101000001000101000000010100010000010000010100010100000000000000000001010101000100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000101000100000101010000000100000000010001010101000100010100000000000100010001010101000101010100010100000001010000010000000100000100000000000100000000010001010101000001010100000100000100010101010000000000000101010000010101010001010100000100000001000100000001010100000101010001000100010000010100000101010100010100000100000001000001010100010000000100010100000000010101010100000000010101010100010000000100000001000000010001000100000100000101000001000101000000010100010000010000010100010100000000000000000001010101000100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000101000100000101010000000100000000010001010101000100010100000000000100010001010101000101010100010100000001010000010000000100000100000000000100000000010001010101000001010100000100000100010101010000000000000101010000010101010001010100000100000001000100000001010100000101010001000100010000010100000101010100010100000100000001000001010100010000000100010100000000010101010100000000010101010100010000000100000001000000010001000100000100000101000001000101000000010100010000010000010100010100000000000000000001010101000100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010000",
+	"04fd000101000100000101010000000100000000010001010101000100010100000000000100010001010101000101010100010100000001010000010000000100000100000000000100000000010001010101000001010100000100000100010101010000000000000101010000010101010001010100000100000001000100000001010100000101010001000100010000010100000101010100010100000100000001000001010100010000000100010100000000010101010100000000010101010100010000000100000001000000010001000100000100000101000001000101000000010100010000010000010100010100000000000000000001010101000100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010001",
+	"04fd000101000100000101010000000100000000010001010101000100010100000000000100010001010101000101010100010100000001010000010000000100000100000000000100000000010001010101000001010100000100000100010101010000000000000101010000010101010001010100000100000001000100000001010100000101010001000100010000010100000101010100010100000100000001000001010100010000000100010100000000010101010100000000010101010100010000000100000001000000010001000100000100000101000001000101000000010100010000010000010100010100000000000000000001010101000100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010100",
+	"04fd000101000100000101010000000100000000010001010101000100010100000000000100010001010101000101010100010100000001010000010000000100000100000000000100000000010001010101000001010100000100000100010101010000000000000101010000010101010001010100000100000001000100000001010100000101010001000100010000010100000101010100010100000100000001000001010100010000000100010100000000010101010100000000010101010100010000000100000001000000010001000100000100000101000001000101000000010100010000010000010100010100000000000000000001010101000100fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010101",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100000001010101000100010101000101000100010001010101000001010101000101010000010100000001000001000100000001010100010001000001010001010000000001000100010000000000010001000000010001000000000000000000010000010001010100010001000001010100010100010000000100000001000100010100010000000000000100000000010100000001010101000000000100000100010101010101000001000000010000000101010001000000010100000001000101000001010001000000000101010000010000000001000101000000010100000100000001000001010000010001010101010001010001000001010100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000000",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100000001010101000100010101000101000100010001010101000001010101000101010000010100000001000001000100000001010100010001000001010001010000000001000100010000000000010001000000010001000000000000000000010000010001010100010001000001010100010100010000000100000001000100010100010000000000000100000000010100000001010101000000000100000100010101010101000001000000010000000101010001000000010100000001000101000001010001000000000101010000010000000001000101000000010100000100000001000001010000010001010101010001010001000001010100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000001",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100000001010101000100010101000101000100010001010101000001010101000101010000010100000001000001000100000001010100010001000001010001010000000001000100010000000000010001000000010001000000000000000000010000010001010100010001000001010100010100010000000100000001000100010100010000000000000100000000010100000001010101000000000100000100010101010101000001000000010000000101010001000000010100000001000101000001010001000000000101010000010000000001000101000000010100000100000001000001010000010001010101010001010001000001010100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000100",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100000001010101000100010101000101000100010001010101000001010101000101010000010100000001000001000100000001010100010001000001010001010000000001000100010000000000010001000000010001000000000000000000010000010001010100010001000001010100010100010000000100000001000100010100010000000000000100000000010100000001010101000000000100000100010101010101000001000000010000000101010001000000010100000001000101000001010001000000000101010000010000000001000101000000010100000100000001000001010000010001010101010001010001000001010100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000101",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401010000",
+	"04fd000101000000000101000100000101010000010000000101010000010100010101010000000101010001010101000101000100000001010000000001010000010001010001000100010000010001000001010000010000010100010101000101010001010101000000010100010000000100000001000000010101000101010101000101000000000001000000000001010100010000010100000101010101000101000100010001000000000000000001000001010101010100000001000100000101000001010101010001010100000001000000010100000101000101010101000001000001000101010100010001010100010000010100010001010001000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000101000000000101000100000101010000010000000101010000010100010101010000000101010001010101000101000100000001010000000001010000010001010001000100010000010001000001010000010000010100010101000101010001010101000000010100010000000100000001000000010101000101010101000101000000000001000000000001010100010000010100000101010101000101000100010001000000000000000001000001010101010100000001000100000101000001010101010001010100000001000000010100000101000101010101000001000001000101010100010001010100010000010100010001010001000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000101000000000101000100000101010000010000000101010000010100010101010000000101010001010101000101000100000001010000000001010000010001010001000100010000010001000001010000010000010100010101000101010001010101000000010100010000000100000001000000010101000101010101000101000000000001000000000001010100010000010100000101010101000101000100010001000000000000000001000001010101010100000001000100000101000001010101010001010100000001000000010100000101000101010101000001000001000101010100010001010100010000010100010001010001000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000101000000000101000100000101010000010000000101010000010100010101010000000101010001010101000101000100000001010000000001010000010001010001000100010000010001000001010000010000010100010101000101010001010101000000010100010000000100000001000000010101000101010101000101000000000001000000000001010100010000010100000101010101000101000100010001000000000000000001000001010101010100000001000100000101000001010101010001010100000001000000010100000101000101010101000001000001000101010100010001010100010000010100010001010001000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000101000000000101000100000101010000010000000101010000010100010101010000000101010001010101000101000100000001010000000001010000010001010001000100010000010001000001010000010000010100010101000101010001010101000000010100010000000100000001000000010101000101010101000101000000000001000000000001010100010000010100000101010101000101000100010001000000000000000001000001010101010100000001000100000101000001010101010001010100000001000000010100000101000101010101000001000001000101010100010001010100010000010100010001010001000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010000",
+	"04fd000101000000000101000100000101010000010000000101010000010100010101010000000101010001010101000101000100000001010000000001010000010001010001000100010000010001000001010000010000010100010101000101010001010101000000010100010000000100000001000000010101000101010101000101000000000001000000000001010100010000010100000101010101000101000100010001000000000000000001000001010101010100000001000100000101000001010101010001010100000001000000010100000101000101010101000001000001000101010100010001010100010000010100010001010001000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010001",
+	"04fd000101000000000101000100000101010000010000000101010000010100010101010000000101010001010101000101000100000001010000000001010000010001010001000100010000010001000001010000010000010100010101000101010001010101000000010100010000000100000001000000010101000101010101000101000000000001000000000001010100010000010100000101010101000101000100010001000000000000000001000001010101010100000001000100000101000001010101010001010100000001000000010100000101000101010101000001000001000101010100010001010100010000010100010001010001000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010100",
+	"04fd000101000000000101000100000101010000010000000101010000010100010101010000000101010001010101000101000100000001010000000001010000010001010001000100010000010001000001010000010000010100010101000101010001010101000000010100010000000100000001000000010101000101010101000101000000000001000000000001010100010000010100000101010101000101000100010001000000000000000001000001010101010100000001000100000101000001010101010001010100000001000000010100000101000101010101000001000001000101010100010001010100010000010100010001010001000000fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010101",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100010101010001010000010001000000010100000001010100000000010001000000000101010101000001000100010100010000010001010001010101010000010101000101010100010001000000010100000001010100010001000000000100000101010001000000000100010100000001010000010001000000000000010101000000010101010001000101010101010100010100000000010100010101000101000100010101000000010101000000010101000001000001000101010000000101010000000000000001010101010001010001010100010000000001010100000101000000000101010001010100000101000101010000010000000100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000000",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100010101010001010000010001000000010100000001010100000000010001000000000101010101000001000100010100010000010001010001010101010000010101000101010100010001000000010100000001010100010001000000000100000101010001000000000100010100000001010000010001000000000000010101000000010101010001000101010101010100010100000000010100010101000101000100010101000000010101000000010101000001000001000101010000000101010000000000000001010101010001010001010100010000000001010100000101000000000101010001010100000101000101010000010000000100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000001",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100010101010001010000010001000000010100000001010100000000010001000000000101010101000001000100010100010000010001010001010101010000010101000101010100010001000000010100000001010100010001000000000100000101010001000000000100010100000001010000010001000000000000010101000000010101010001000101010101010100010100000000010100010101000101000100010101000000010101000000010101000001000001000101010000000101010000000000000001010101010001010001010100010000000001010100000101000000000101010001010100000101000101010000010000000100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000100",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000100010101010001010000010001000000010100000001010100000000010001000000000101010101000001000100010100010000010001010001010101010000010101000101010100010001000000010100000001010100010001000000000100000101010001000000000100010100000001010000010001000000000000010101000000010101010001000101010101010100010100000000010100010101000101000100010101000000010101000000010101000001000001000101010000000101010000000000000001010101010001010001010100010000000001010100000101000000000101010001010100000101000101010000010000000100fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000101",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000100000000000100010001000001010101000000000000000101010001010000000001000000010101010001010001010101010001010001000001000000010000010001000000010101000001000100010100010101010100000001000100000001010001010001000000000100010101000000000100000100010001010101010001000100000001010001010001000100010101010100010000010101010000010001010100000101010100010100000001010101010101000101000001010001000000000100000001010001010101000101000100000001010100010100010101000100010001010001010101010000000001000001000000010000000001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401010000",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000100000000000100010001000001010101000000000000000101010001010000000001000000010101010001010001010101010001010001000001000000010000010001000000010101000001000100010100010101010100000001000100000001010001010001000000000100010101000000000100000100010001010101010001000100000001010001010001000100010101010100010000010101010000010001010100000101010100010100000001010101010101000101000001010001000000000100000001010001010101000101000100000001010100010100010101000100010001010001010101010000000001000001000000010000000001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401010001",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000000",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000001",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000100",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400000101",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010000",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010001",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010100",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010400010101",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000000",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000001",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000100",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000101",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401010000",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401010001",
+	"04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401010100"
+]
\ No newline at end of file
diff --git a/src/test/data/merkle_roots.json b/src/test/data/merkle_roots.json
new file mode 100644
index 00000000..0ed3a89e
--- /dev/null
+++ b/src/test/data/merkle_roots.json
@@ -0,0 +1,18 @@
+[
+	"caea625775792fb7553c4e21915b1713ae18b9d03d8e04786014dac6fd83bcd7",
+	"e2ef3d63416cec2325a7468cbc1eefc91575105620c7b76312fc3ce04d70be67",
+	"32dd56bb1128fba775a0dbd12a15e12378ade73d67e04c57ee6336e5d2a78530",
+	"432f637c762e1fe0d17d81d1e4e99c929ddcc7472d13c250897c9b693bd8d360",
+	"cc73383f18247923e9472ac7aa97851a9740d731956683eec67c6dff00427b47",
+	"3197598c9f2345402ac4e5b80ff7eda14e22a7fb954270846ceebb403c7f5c94",
+	"2d97b4feb3a45b79206315da4cf625d3ee739794344f51186b39d9d1c20b9526",
+	"ac42a2e51c799ee492f2ec961780ce87964e7baecea47b8ee77519140c3dd364",
+	"cd1a6cdc8a1db28aedcbd96bfbdcfde5429db68e1d38c4cfb5d0c91bc195ee0e",
+	"d20bb06d178f8a514620c7aa549c8467912abdd97c5e892ef5715ad9ed116c7b",
+	"f6da8716682d600f74fc16bd0187faad6a26b4aa4c24d5c055b216d94516847e",
+	"54c1402e1dfc649dd38d23230ff1cb786f49c85c00e92b378c7b5f3312c5c628",
+	"976d045f7f84687ff64b95f5a686d943b6f2f4f2e4159d552f12ed7c907b65c8",
+	"4480b49acaff4f737d156f7c8dcbbd035f0c4a8450d70eed3c76d30f69d71ece",
+	"a867397884b157b1db4dd03dc2fd6c40c4650e70b61441d4325e0b18d5280fb6",
+	"52c8456d3538eed3b73778c596c1993ac6d6c337ae5e338391ce6cae58296dec"
+]
\ No newline at end of file
diff --git a/src/test/data/merkle_serialization.json b/src/test/data/merkle_serialization.json
new file mode 100644
index 00000000..9bb8ffee
--- /dev/null
+++ b/src/test/data/merkle_serialization.json
@@ -0,0 +1,18 @@
+[
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e302018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30003018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e303018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30003018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e303018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443"
+]
\ No newline at end of file
diff --git a/src/test/data/merkle_witness_serialization.json b/src/test/data/merkle_witness_serialization.json
new file mode 100644
index 00000000..327d833e
--- /dev/null
+++ b/src/test/data/merkle_witness_serialization.json
@@ -0,0 +1,138 @@
+[
+	"0000000155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0000000255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0000000255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0000000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0000000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0000000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0000000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0000000455b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300028695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0000000455b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300028695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e302018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0000000455b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300028695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e302018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0000000455b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300028695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e302018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0000000455b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300028695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e302018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30003018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0000000455b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300028695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e302018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30003018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e303018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0000000455b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300028695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e302018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30003018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e303018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+	"0000000455b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300028695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e302018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30003018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e303018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300010155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+	"0000000555b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c5564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300000455b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c5564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300038695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c5564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d0355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c5564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d02dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c5564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d5564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c028695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d5564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c0255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e35564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e302018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944300",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430355b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443028695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30003018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e303018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944301dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00",
+	"0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30003018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300"
+]
\ No newline at end of file
diff --git a/src/test/merkle_tests.cpp b/src/test/merkle_tests.cpp
new file mode 100644
index 00000000..883cda13
--- /dev/null
+++ b/src/test/merkle_tests.cpp
@@ -0,0 +1,154 @@
+#include "test/test_bitcoin.h"
+
+#include "data/merkle_roots.json.h"
+#include "data/merkle_serialization.json.h"
+#include "data/merkle_witness_serialization.json.h"
+#include "data/merkle_path.json.h"
+
+#include <iostream>
+
+#include "utilstrencodings.h"
+#include "version.h"
+
+#include <boost/test/unit_test.hpp>
+#include "json/json_spirit_reader_template.h"
+#include "json/json_spirit_utils.h"
+#include "json/json_spirit_writer_template.h"
+using namespace json_spirit;
+extern Array read_json(const std::string& jsondata);
+
+#include "zcash/IncrementalMerkleTree.hpp"
+
+//#define PRINT_JSON 1
+
+using namespace std;
+
+template<typename T, typename U>
+void expect_test_vector(T& it, const U& expected)
+{
+    CDataStream ss1(SER_NETWORK, PROTOCOL_VERSION);
+    ss1 << expected;
+
+    #ifdef PRINT_JSON
+    std::cout << "\t\"" ;
+    std::cout << HexStr(ss1.begin(), ss1.end()) << "\",\n";
+    #else
+    std::string raw = (it++)->get_str();
+    CDataStream ss2(ParseHex(raw), SER_NETWORK, PROTOCOL_VERSION);
+
+    BOOST_CHECK(ss1.size() == ss2.size());
+    BOOST_CHECK(memcmp(&*ss1.begin(), &*ss2.begin(), ss1.size()) == 0);
+    #endif
+}
+
+BOOST_FIXTURE_TEST_SUITE(merkle_tests, BasicTestingSetup)
+
+BOOST_AUTO_TEST_CASE(tree_test_vectors)
+{
+    Array root_tests = read_json(std::string(json_tests::merkle_roots, json_tests::merkle_roots + sizeof(json_tests::merkle_roots)));
+    Array ser_tests = read_json(std::string(json_tests::merkle_serialization, json_tests::merkle_serialization + sizeof(json_tests::merkle_serialization)));
+    Array witness_ser_tests = read_json(std::string(json_tests::merkle_witness_serialization, json_tests::merkle_witness_serialization + sizeof(json_tests::merkle_witness_serialization)));
+    Array path_tests = read_json(std::string(json_tests::merkle_path, json_tests::merkle_path + sizeof(json_tests::merkle_path)));
+
+    Array::iterator root_iterator = root_tests.begin();
+    Array::iterator ser_iterator = ser_tests.begin();
+    Array::iterator witness_ser_iterator = witness_ser_tests.begin();
+    Array::iterator path_iterator = path_tests.begin();
+
+    uint256 test_commitment = uint256S("e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855");
+
+    ZCTestingIncrementalMerkleTree tree;
+
+    // The root of the tree at this point is expected to be null.
+    BOOST_CHECK(tree.root().IsNull());
+
+    // We need to witness at every single point in the tree, so
+    // that the consistency of the tree and the merkle paths can
+    // be checked.
+    vector<ZCTestingIncrementalWitness> witnesses;
+
+    for (size_t i = 0; i < 16; i++) {
+        // Witness here
+        witnesses.push_back(tree.witness());
+
+        // Now append a commitment to the tree
+        tree.append(test_commitment);
+
+        // Check tree root consistency
+        expect_test_vector(root_iterator, tree.root());
+
+        // Check serialization of tree
+        expect_test_vector(ser_iterator, tree);
+
+        bool first = true; // The first witness can never form a path
+        BOOST_FOREACH(ZCTestingIncrementalWitness& wit, witnesses)
+        {
+            // Append the same commitment to all the witnesses
+            wit.append(test_commitment);
+
+            if (first) {
+                BOOST_CHECK_THROW(wit.path(), std::runtime_error);
+            } else {
+                auto path = wit.path();
+
+                expect_test_vector(path_iterator, path);
+            }
+
+            // Check witness serialization
+            expect_test_vector(witness_ser_iterator, wit);
+
+            BOOST_CHECK(wit.root() == tree.root());
+
+            first = false;
+        }
+    }
+
+    // Tree should be full now
+    BOOST_CHECK_THROW(tree.append(uint256()), std::runtime_error);
+
+    BOOST_FOREACH(ZCTestingIncrementalWitness& wit, witnesses)
+    {
+        BOOST_CHECK_THROW(wit.append(uint256()), std::runtime_error);
+    }
+}
+
+BOOST_AUTO_TEST_CASE( deserializeInvalid ) {
+    ZCIncrementalMerkleTree newTree;
+
+    for (size_t i = 0; i < 16; i++) {
+        newTree.append(uint256S("54d626e08c1c802b305dad30b7e54a82f102390cc92c7d4db112048935236e9c"));
+    }
+
+    newTree.append(uint256S("54d626e08c1c802b305dad30b7e54a82f102390cc92c7d4db112048935236e9c"));
+
+    CDataStream ss(SER_NETWORK, PROTOCOL_VERSION);
+    ss << newTree;
+
+    ZCTestingIncrementalMerkleTree newTreeSmall;
+    BOOST_CHECK_THROW(ss >> newTreeSmall, std::ios_base::failure);
+}
+
+BOOST_AUTO_TEST_CASE( testZeroElements ) {
+    for (int start = 0; start < 20; start++) {
+        ZCIncrementalMerkleTree newTree;
+
+        BOOST_CHECK(newTree.root() == uint256());
+
+        for (int i = start; i > 0; i--) {
+            newTree.append(uint256S("54d626e08c1c802b305dad30b7e54a82f102390cc92c7d4db112048935236e9c"));
+        }
+
+        uint256 oldroot = newTree.root();
+
+        // At this point, appending tons of null objects to the tree
+        // should preserve its root.
+
+        for (int i = 0; i < 100; i++) {
+            newTree.append(uint256());
+        }
+
+        BOOST_CHECK(newTree.root() == oldroot);
+    }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/serialize_tests.cpp b/src/test/serialize_tests.cpp
index f7240e4e..d3e51c7d 100644
--- a/src/test/serialize_tests.cpp
+++ b/src/test/serialize_tests.cpp
@@ -41,6 +41,15 @@ BOOST_AUTO_TEST_CASE(boost_optional)
     check_ser_rep<boost::optional<unsigned char>>(0xff, {0x01, 0xff});
     check_ser_rep<boost::optional<unsigned char>>(boost::none, {0x00});
     check_ser_rep<boost::optional<std::string>>(std::string("Test"), {0x01, 0x04, 'T', 'e', 's', 't'});
+
+    {
+        // Ensure that canonical optional discriminant is used
+        CDataStream ss(SER_DISK, 0);
+        ss.write("\x02\x04Test", 6);
+        boost::optional<std::string> into;
+
+        BOOST_CHECK_THROW(ss >> into, std::ios_base::failure);
+    }
 }
 
 BOOST_AUTO_TEST_CASE(boost_arrays)
diff --git a/src/zcash/IncrementalMerkleTree.cpp b/src/zcash/IncrementalMerkleTree.cpp
new file mode 100644
index 00000000..e2543cbe
--- /dev/null
+++ b/src/zcash/IncrementalMerkleTree.cpp
@@ -0,0 +1,287 @@
+#include <stdexcept>
+
+#include <boost/foreach.hpp>
+
+#include "zcash/IncrementalMerkleTree.hpp"
+#include "crypto/sha256.h"
+#include "zerocash/utils/util.h" // TODO: remove these utilities
+
+namespace libzcash {
+
+SHA256Compress SHA256Compress::combine(const SHA256Compress& a, const SHA256Compress& b)
+{
+    // This is a performance optimization.
+    if (a.IsNull() && b.IsNull()) {
+        return a;
+    }
+
+    SHA256Compress res = SHA256Compress();
+
+    CSHA256 hasher;
+    hasher.Write(a.begin(), 32);
+    hasher.Write(b.begin(), 32);
+    hasher.FinalizeNoPadding(res.begin());
+
+    return res;
+}
+
+
+template <typename Hash>
+class PathFiller {
+private:
+    std::deque<Hash> queue;
+public:
+    PathFiller() : queue() { }
+    PathFiller(std::deque<Hash> queue) : queue(queue) { }
+
+    Hash next() {
+        if (queue.size() > 0) {
+            Hash h = queue.front();
+            queue.pop_front();
+
+            return h;
+        } else {
+            return Hash();
+        }
+    }
+};
+
+template<size_t Depth, typename Hash>
+void IncrementalMerkleTree<Depth, Hash>::wfcheck() const {
+    if (parents.size() >= Depth) {
+        throw std::ios_base::failure("tree has too many parents");
+    }
+}
+
+template<size_t Depth, typename Hash>
+void IncrementalMerkleTree<Depth, Hash>::append(Hash obj) {
+    if (is_complete(Depth)) {
+        throw std::runtime_error("tree is full");
+    }
+
+    if (!left) {
+        // Set the left leaf
+        left = obj;
+    } else if (!right) {
+        // Set the right leaf
+        right = obj;
+    } else {
+        // Combine the leaves and propagate it up the tree
+        boost::optional<Hash> combined = Hash::combine(*left, *right);
+
+        // Set the left leaf to the object and make the right object none
+        left = obj;
+        right = boost::none;
+
+        // Propagate up the tree as much as needed
+        BOOST_FOREACH(boost::optional<Hash>& parent, parents) {
+            if (parent) {
+                combined = Hash::combine(*parent, *combined);
+                parent = boost::none;
+            } else {
+                parent = *combined;
+                combined = boost::none;
+                break;
+            }
+        }
+
+        if (combined) {
+            // Create a new parent
+            parents.push_back(combined);
+        }
+    }
+}
+
+// This is for allowing the witness to determine if a subtree has filled
+// to a particular depth, or for append() to ensure we're not appending
+// to a full tree.
+template<size_t Depth, typename Hash>
+bool IncrementalMerkleTree<Depth, Hash>::is_complete(size_t depth) const {
+    if (!left || !right) {
+        return false;
+    }
+
+    if (parents.size() != (depth - 1)) {
+        return false;
+    }
+
+    BOOST_FOREACH(const boost::optional<Hash>& parent, parents) {
+        if (!parent) {
+            return false;
+        }
+    }
+
+    return true;
+}
+
+// This finds the next "depth" of an unfilled subtree, given that we've filled
+// `skip` uncles/subtrees.
+template<size_t Depth, typename Hash>
+size_t IncrementalMerkleTree<Depth, Hash>::next_depth(size_t skip) const {
+    if (!left) {
+        if (skip) { 
+            skip--;
+        } else {
+            return 0;
+        }
+    }
+
+    if (!right) {
+        if (skip) { 
+            skip--;
+        } else {
+            return 0;
+        }
+    }
+
+    size_t d = 1;
+
+    BOOST_FOREACH(const boost::optional<Hash>& parent, parents) {
+        if (!parent) {
+            if (skip) {
+                skip--;
+            } else {
+                return d;
+            }
+        }
+
+        d++;
+    }
+
+    return d + skip;
+}
+
+// This calculates the root of the tree.
+template<size_t Depth, typename Hash>
+Hash IncrementalMerkleTree<Depth, Hash>::root(size_t depth,
+                                              std::deque<Hash> filler_hashes) const {
+    PathFiller<Hash> filler(filler_hashes);
+
+    Hash combine_left =  left  ? *left  : filler.next();
+    Hash combine_right = right ? *right : filler.next();
+
+    Hash root = Hash::combine(combine_left, combine_right);
+
+    size_t d = 1;
+
+    BOOST_FOREACH(const boost::optional<Hash>& parent, parents) {
+        if (parent) {
+            root = Hash::combine(*parent, root);
+        } else {
+            root = Hash::combine(root, filler.next());
+        }
+
+        d++;
+    }
+
+    // We may not have parents for ancestor trees, so we fill
+    // the rest in here.
+    while (d < depth) {
+        root = Hash::combine(root, filler.next());
+        d++;
+    }
+
+    return root;
+}
+
+// This constructs an authentication path into the tree in the format that the circuit
+// wants. The caller provides `filler_hashes` to fill in the uncle subtrees.
+template<size_t Depth, typename Hash>
+MerklePath IncrementalMerkleTree<Depth, Hash>::path(std::deque<Hash> filler_hashes) const {
+    if (!left) {
+        throw std::runtime_error("can't create an authentication path for the beginning of the tree");
+    }
+
+    PathFiller<Hash> filler(filler_hashes);
+
+    std::vector<Hash> path;
+    std::vector<bool> index;
+
+    if (right) {
+        index.push_back(true);
+        path.push_back(*left);
+    } else {
+        index.push_back(false);
+        path.push_back(filler.next());
+    }
+
+    size_t d = 1;
+
+    BOOST_FOREACH(const boost::optional<Hash>& parent, parents) {
+        if (parent) {
+            index.push_back(true);
+            path.push_back(*parent);
+        } else {
+            index.push_back(false);
+            path.push_back(filler.next());
+        }
+
+        d++;
+    }
+
+    while (d < Depth) {
+        index.push_back(false);
+        path.push_back(filler.next());
+        d++;
+    }
+
+    std::vector<std::vector<bool>> merkle_path;
+    BOOST_FOREACH(Hash b, path)
+    {
+        std::vector<unsigned char> hashv(b.begin(), b.end());
+        std::vector<bool> tmp_b;
+
+        libzerocash::convertBytesVectorToVector(hashv, tmp_b);
+
+        merkle_path.push_back(tmp_b);
+    }
+
+    std::reverse(merkle_path.begin(), merkle_path.end());
+    std::reverse(index.begin(), index.end());
+
+    return MerklePath(merkle_path, index);
+}
+
+template<size_t Depth, typename Hash>
+std::deque<Hash> IncrementalWitness<Depth, Hash>::uncle_train() const {
+    std::deque<Hash> uncles(filled.begin(), filled.end());
+
+    if (cursor) {
+        uncles.push_back(cursor->root(cursor_depth));
+    }
+
+    return uncles;
+}
+
+template<size_t Depth, typename Hash>
+void IncrementalWitness<Depth, Hash>::append(Hash obj) {
+    if (cursor) {
+        cursor->append(obj);
+
+        if (cursor->is_complete(cursor_depth)) {
+            filled.push_back(cursor->root(cursor_depth));
+            cursor = boost::none;
+        }
+    } else {
+        cursor_depth = tree.next_depth(filled.size());
+
+        if (cursor_depth >= Depth) {
+            throw std::runtime_error("tree is full");
+        }
+
+        if (cursor_depth == 0) {
+            filled.push_back(obj);
+        } else {
+            cursor = IncrementalMerkleTree<Depth, Hash>();
+            cursor->append(obj);
+        }
+    }
+}
+
+template class IncrementalMerkleTree<INCREMENTAL_MERKLE_TREE_DEPTH, SHA256Compress>;
+template class IncrementalMerkleTree<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, SHA256Compress>;
+
+template class IncrementalWitness<INCREMENTAL_MERKLE_TREE_DEPTH, SHA256Compress>;
+template class IncrementalWitness<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, SHA256Compress>;
+
+} // end namespace `libzcash`
diff --git a/src/zcash/IncrementalMerkleTree.hpp b/src/zcash/IncrementalMerkleTree.hpp
new file mode 100644
index 00000000..28cb81ea
--- /dev/null
+++ b/src/zcash/IncrementalMerkleTree.hpp
@@ -0,0 +1,129 @@
+#ifndef ZCINCREMENTALMERKLETREE_H_
+#define ZCINCREMENTALMERKLETREE_H_
+
+#include <deque>
+#include <boost/optional.hpp>
+#include <boost/static_assert.hpp>
+
+#include "uint256.h"
+#include "serialize.h"
+
+static const unsigned int INCREMENTAL_MERKLE_TREE_DEPTH = 20;
+static const unsigned int INCREMENTAL_MERKLE_TREE_DEPTH_TESTING = 4;
+
+namespace libzcash {
+
+class MerklePath {
+public:
+    std::vector<std::vector<bool>> authentication_path;
+    std::vector<bool> index;
+
+    ADD_SERIALIZE_METHODS;
+
+    template <typename Stream, typename Operation>
+    inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
+        READWRITE(authentication_path);
+        READWRITE(index);
+    }
+
+    MerklePath(std::vector<std::vector<bool>> authentication_path, std::vector<bool> index)
+    : authentication_path(authentication_path), index(index) { }
+};
+
+template<size_t Depth, typename Hash>
+class IncrementalWitness;
+
+template<size_t Depth, typename Hash>
+class IncrementalMerkleTree {
+
+friend class IncrementalWitness<Depth, Hash>;
+
+public:
+    BOOST_STATIC_ASSERT(Depth >= 1);
+
+    IncrementalMerkleTree() { }
+
+    void append(Hash obj);
+    Hash root() const {
+        return root(Depth, std::deque<Hash>());
+    }
+
+    IncrementalWitness<Depth, Hash> witness() const {
+        return IncrementalWitness<Depth, Hash>(*this);
+    }
+
+    ADD_SERIALIZE_METHODS;
+
+    template <typename Stream, typename Operation>
+    inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
+        READWRITE(left);
+        READWRITE(right);
+        READWRITE(parents);
+
+        wfcheck();
+    }
+
+private:
+    boost::optional<Hash> left;
+    boost::optional<Hash> right;
+    std::vector<boost::optional<Hash>> parents;
+    MerklePath path(std::deque<Hash> filler_hashes = std::deque<Hash>()) const;
+    Hash root(size_t depth, std::deque<Hash> filler_hashes = std::deque<Hash>()) const;
+    bool is_complete(size_t depth = Depth) const;
+    size_t next_depth(size_t skip) const;
+    void wfcheck() const;
+};
+
+template <size_t Depth, typename Hash>
+class IncrementalWitness {
+friend class IncrementalMerkleTree<Depth, Hash>;
+
+public:
+    MerklePath path() const {
+        return tree.path(uncle_train());
+    }
+
+    Hash root() const {
+        return tree.root(Depth, uncle_train());
+    }
+
+    void append(Hash obj);
+
+    ADD_SERIALIZE_METHODS;
+
+    template <typename Stream, typename Operation>
+    inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
+        READWRITE(tree);
+        READWRITE(filled);
+        READWRITE(cursor);
+
+        cursor_depth = tree.next_depth(filled.size());
+    }
+
+private:
+    IncrementalMerkleTree<Depth, Hash> tree;
+    std::vector<Hash> filled;
+    boost::optional<IncrementalMerkleTree<Depth, Hash>> cursor;
+    size_t cursor_depth;
+    std::deque<Hash> uncle_train() const;
+    IncrementalWitness(IncrementalMerkleTree<Depth, Hash> tree) : tree(tree) {}
+};
+
+class SHA256Compress : public uint256 {
+public:
+    SHA256Compress() : uint256() {}
+    SHA256Compress(uint256 contents) : uint256(contents) { }
+
+    static SHA256Compress combine(const SHA256Compress& a, const SHA256Compress& b);
+};
+
+} // end namespace `libzcash`
+
+typedef libzcash::IncrementalMerkleTree<INCREMENTAL_MERKLE_TREE_DEPTH, libzcash::SHA256Compress> ZCIncrementalMerkleTree;
+typedef libzcash::IncrementalMerkleTree<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, libzcash::SHA256Compress> ZCTestingIncrementalMerkleTree;
+
+typedef libzcash::IncrementalWitness<INCREMENTAL_MERKLE_TREE_DEPTH, libzcash::SHA256Compress> ZCIncrementalWitness;
+typedef libzcash::IncrementalWitness<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, libzcash::SHA256Compress> ZCTestingIncrementalWitness;
+
+#endif /* ZCINCREMENTALMERKLETREE_H_ */
+