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authorRiccardo Spagni <ric@spagni.net>2018-05-21 20:37:19 +0200
committerRiccardo Spagni <ric@spagni.net>2018-05-21 20:37:19 +0200
commitace614612b801febfe2ebe5801beb704e2a01e2f (patch)
tree89c292dd01e33efb53f6c26d308d354546d45e0a /src
parentMerge pull request #3831 (diff)
parentspeed up get_output_distribution (and precalc common case) (diff)
downloadmonero-ace614612b801febfe2ebe5801beb704e2a01e2f.tar.xz
Merge pull request #3815
ffe9d882 speed up get_output_distribution (and precalc common case) (moneromooo-monero)
Diffstat (limited to 'src')
-rw-r--r--src/blockchain_db/blockchain_db.h2
-rw-r--r--src/blockchain_db/lmdb/db_lmdb.cpp41
-rw-r--r--src/blockchain_db/lmdb/db_lmdb.h2
-rw-r--r--src/cryptonote_core/blockchain.cpp19
-rw-r--r--src/cryptonote_core/blockchain.h5
-rw-r--r--src/cryptonote_core/cryptonote_core.cpp4
-rw-r--r--src/cryptonote_core/cryptonote_core.h2
-rw-r--r--src/rpc/core_rpc_server.cpp17
-rw-r--r--src/rpc/get_output_distribution_cache.h113
9 files changed, 182 insertions, 23 deletions
diff --git a/src/blockchain_db/blockchain_db.h b/src/blockchain_db/blockchain_db.h
index 1a23a9ada..1ed715315 100644
--- a/src/blockchain_db/blockchain_db.h
+++ b/src/blockchain_db/blockchain_db.h
@@ -1496,6 +1496,8 @@ public:
*/
virtual std::map<uint64_t, std::tuple<uint64_t, uint64_t, uint64_t>> get_output_histogram(const std::vector<uint64_t> &amounts, bool unlocked, uint64_t recent_cutoff, uint64_t min_count) const = 0;
+ virtual bool get_output_distribution(uint64_t amount, uint64_t from_height, uint64_t to_height, std::vector<uint64_t> &distribution, uint64_t &base) const = 0;
+
/**
* @brief is BlockchainDB in read-only mode?
*
diff --git a/src/blockchain_db/lmdb/db_lmdb.cpp b/src/blockchain_db/lmdb/db_lmdb.cpp
index 5672a34f6..5c20c8de4 100644
--- a/src/blockchain_db/lmdb/db_lmdb.cpp
+++ b/src/blockchain_db/lmdb/db_lmdb.cpp
@@ -3179,6 +3179,47 @@ std::map<uint64_t, std::tuple<uint64_t, uint64_t, uint64_t>> BlockchainLMDB::get
return histogram;
}
+bool BlockchainLMDB::get_output_distribution(uint64_t amount, uint64_t from_height, uint64_t to_height, std::vector<uint64_t> &distribution, uint64_t &base) const
+{
+ LOG_PRINT_L3("BlockchainLMDB::" << __func__);
+ check_open();
+
+ TXN_PREFIX_RDONLY();
+ RCURSOR(output_amounts);
+
+ distribution.clear();
+ const uint64_t db_height = height();
+ if (from_height >= db_height)
+ return false;
+ distribution.resize(db_height - from_height, 0);
+
+ bool fret = true;
+ MDB_val_set(k, amount);
+ MDB_val v;
+ MDB_cursor_op op = MDB_SET;
+ while (1)
+ {
+ int ret = mdb_cursor_get(m_cur_output_amounts, &k, &v, op);
+ op = MDB_NEXT_DUP;
+ if (ret == MDB_NOTFOUND)
+ break;
+ if (ret)
+ throw0(DB_ERROR("Failed to enumerate outputs"));
+ const outkey *ok = (const outkey *)v.mv_data;
+ const uint64_t height = ok->data.height;
+ if (height >= from_height)
+ distribution[height - from_height]++;
+ else
+ base++;
+ if (to_height > 0 && height > to_height)
+ break;
+ }
+
+ TXN_POSTFIX_RDONLY();
+
+ return true;
+}
+
void BlockchainLMDB::check_hard_fork_info()
{
}
diff --git a/src/blockchain_db/lmdb/db_lmdb.h b/src/blockchain_db/lmdb/db_lmdb.h
index 9a20c0f1e..f1773bac8 100644
--- a/src/blockchain_db/lmdb/db_lmdb.h
+++ b/src/blockchain_db/lmdb/db_lmdb.h
@@ -293,6 +293,8 @@ public:
*/
std::map<uint64_t, std::tuple<uint64_t, uint64_t, uint64_t>> get_output_histogram(const std::vector<uint64_t> &amounts, bool unlocked, uint64_t recent_cutoff, uint64_t min_count) const;
+ bool get_output_distribution(uint64_t amount, uint64_t from_height, uint64_t to_height, std::vector<uint64_t> &distribution, uint64_t &base) const;
+
private:
void do_resize(uint64_t size_increase=0);
diff --git a/src/cryptonote_core/blockchain.cpp b/src/cryptonote_core/blockchain.cpp
index 7fc20ff4a..d1ef7d6fe 100644
--- a/src/cryptonote_core/blockchain.cpp
+++ b/src/cryptonote_core/blockchain.cpp
@@ -1956,7 +1956,7 @@ void Blockchain::get_output_key_mask_unlocked(const uint64_t& amount, const uint
unlocked = is_tx_spendtime_unlocked(m_db->get_tx_unlock_time(toi.first));
}
//------------------------------------------------------------------
-bool Blockchain::get_output_distribution(uint64_t amount, uint64_t from_height, uint64_t &start_height, std::vector<uint64_t> &distribution, uint64_t &base) const
+bool Blockchain::get_output_distribution(uint64_t amount, uint64_t from_height, uint64_t to_height, uint64_t &start_height, std::vector<uint64_t> &distribution, uint64_t &base) const
{
// rct outputs don't exist before v3
if (amount == 0)
@@ -1977,22 +1977,7 @@ bool Blockchain::get_output_distribution(uint64_t amount, uint64_t from_height,
if (from_height > start_height)
start_height = from_height;
- distribution.clear();
- uint64_t db_height = m_db->height();
- if (start_height >= db_height)
- return false;
- distribution.resize(db_height - start_height, 0);
- bool r = for_all_outputs(amount, [&](uint64_t height) {
- CHECK_AND_ASSERT_MES(height >= real_start_height && height <= db_height, false, "Height not in expected range");
- if (height >= start_height)
- distribution[height - start_height]++;
- else
- base++;
- return true;
- });
- if (!r)
- return false;
- return true;
+ return m_db->get_output_distribution(amount, start_height, to_height, distribution, base);
}
//------------------------------------------------------------------
// This function takes a list of block hashes from another node
diff --git a/src/cryptonote_core/blockchain.h b/src/cryptonote_core/blockchain.h
index 61096fb26..f58885812 100644
--- a/src/cryptonote_core/blockchain.h
+++ b/src/cryptonote_core/blockchain.h
@@ -527,12 +527,13 @@ namespace cryptonote
* @brief gets per block distribution of outputs of a given amount
*
* @param amount the amount to get a ditribution for
- * @param return-by-reference from_height the height before which we do not care about the data
+ * @param from_height the height before which we do not care about the data
+ * @param to_height the height after which we do not care about the data
* @param return-by-reference start_height the height of the first rct output
* @param return-by-reference distribution the start offset of the first rct output in this block (same as previous if none)
* @param return-by-reference base how many outputs of that amount are before the stated distribution
*/
- bool get_output_distribution(uint64_t amount, uint64_t from_height, uint64_t &start_height, std::vector<uint64_t> &distribution, uint64_t &base) const;
+ bool get_output_distribution(uint64_t amount, uint64_t from_height, uint64_t to_height, uint64_t &start_height, std::vector<uint64_t> &distribution, uint64_t &base) const;
/**
* @brief gets the global indices for outputs from a given transaction
diff --git a/src/cryptonote_core/cryptonote_core.cpp b/src/cryptonote_core/cryptonote_core.cpp
index ce75f74d8..01cd56a11 100644
--- a/src/cryptonote_core/cryptonote_core.cpp
+++ b/src/cryptonote_core/cryptonote_core.cpp
@@ -1073,9 +1073,9 @@ namespace cryptonote
return m_blockchain_storage.get_random_rct_outs(req, res);
}
//-----------------------------------------------------------------------------------------------
- bool core::get_output_distribution(uint64_t amount, uint64_t from_height, uint64_t &start_height, std::vector<uint64_t> &distribution, uint64_t &base) const
+ bool core::get_output_distribution(uint64_t amount, uint64_t from_height, uint64_t to_height, uint64_t &start_height, std::vector<uint64_t> &distribution, uint64_t &base) const
{
- return m_blockchain_storage.get_output_distribution(amount, from_height, start_height, distribution, base);
+ return m_blockchain_storage.get_output_distribution(amount, from_height, to_height, start_height, distribution, base);
}
//-----------------------------------------------------------------------------------------------
bool core::get_tx_outputs_gindexs(const crypto::hash& tx_id, std::vector<uint64_t>& indexs) const
diff --git a/src/cryptonote_core/cryptonote_core.h b/src/cryptonote_core/cryptonote_core.h
index ff056c2a2..f3b9dddc0 100644
--- a/src/cryptonote_core/cryptonote_core.h
+++ b/src/cryptonote_core/cryptonote_core.h
@@ -576,7 +576,7 @@ namespace cryptonote
*
* @brief get per block distribution of outputs of a given amount
*/
- bool get_output_distribution(uint64_t amount, uint64_t from_height, uint64_t &start_height, std::vector<uint64_t> &distribution, uint64_t &base) const;
+ bool get_output_distribution(uint64_t amount, uint64_t from_height, uint64_t to_height, uint64_t &start_height, std::vector<uint64_t> &distribution, uint64_t &base) const;
/**
* @copydoc miner::pause
diff --git a/src/rpc/core_rpc_server.cpp b/src/rpc/core_rpc_server.cpp
index 3645c494e..e28914d96 100644
--- a/src/rpc/core_rpc_server.cpp
+++ b/src/rpc/core_rpc_server.cpp
@@ -47,6 +47,7 @@ using namespace epee;
#include "rpc/rpc_args.h"
#include "core_rpc_server_error_codes.h"
#include "p2p/net_node.h"
+#include "get_output_distribution_cache.h"
#include "version.h"
#undef MONERO_DEFAULT_LOG_CATEGORY
@@ -2103,9 +2104,23 @@ namespace cryptonote
continue;
}
+ // this is a slow operation, so we have precomputed caches of common cases
+ bool found = false;
+ for (const auto &slot: get_output_distribution_cache)
+ {
+ if (slot.amount == amount && slot.from_height == req.from_height && slot.to_height == req.to_height)
+ {
+ res.distributions.push_back({amount, slot.start_height, slot.distribution, slot.base});
+ found = true;
+ break;
+ }
+ }
+ if (found)
+ continue;
+
std::vector<uint64_t> distribution;
uint64_t start_height, base;
- if (!m_core.get_output_distribution(amount, req.from_height, start_height, distribution, base))
+ if (!m_core.get_output_distribution(amount, req.from_height, req.to_height, start_height, distribution, base))
{
error_resp.code = CORE_RPC_ERROR_CODE_INTERNAL_ERROR;
error_resp.message = "Failed to get rct distribution";
diff --git a/src/rpc/get_output_distribution_cache.h b/src/rpc/get_output_distribution_cache.h
new file mode 100644
index 000000000..6495e7d4c
--- /dev/null
+++ b/src/rpc/get_output_distribution_cache.h
@@ -0,0 +1,113 @@
+static const struct
+{
+ uint64_t amount;
+ uint64_t from_height;
+ uint64_t to_height;
+ uint64_t start_height;
+ uint64_t base;
+ std::vector<uint64_t> distribution;
+}
+get_output_distribution_cache[] =
+{
+ {
+ 0,
+ 1544704,
+ 1546001,
+ 1544704,
+ 5143500,
+ {
+ 5, 38, 37, 33, 39, 7, 1, 1, 5, 9, 7, 5, 17, 5, 3, 9, 3, 17, 5, 17, 1, 1, 15, 13, 3, 10, 5, 3, 34, 1, 45, 7,
+ 5, 17, 5, 22, 3, 1, 17, 16, 5, 1, 3, 43, 5, 13, 3, 23, 9, 7, 9, 13, 1, 11, 1, 17, 1, 3, 16, 11, 5, 11, 7, 7,
+ 33, 11, 7, 1, 5, 1, 21, 19, 1, 17, 1, 49, 17, 3, 3, 9, 35, 46, 46, 39, 26, 33, 21, 3, 23, 3, 9, 37, 1, 33, 11, 32,
+ 1, 13, 16, 12, 3, 21, 1, 18, 3, 19, 1, 25, 5, 3, 18, 7, 17, 5, 9, 15, 7, 7, 11, 9, 9, 17, 5, 16, 1, 3, 13, 3,
+ 5, 5, 5, 13, 5, 9, 5, 13, 3, 17, 15, 36, 13, 3, 20, 12, 6, 23, 17, 10, 22, 23, 1, 7, 21, 6, 23, 1, 3, 19, 13, 1,
+ 3, 43, 35, 13, 1, 31, 7, 3, 17, 1, 15, 5, 11, 15, 24, 1, 18, 13, 5, 15, 1, 29, 3, 3, 13, 3, 15, 7, 17, 3, 1, 1,
+ 17, 1, 1, 45, 39, 27, 45, 46, 34, 7, 3, 3, 9, 3, 3, 11, 7, 5, 9, 25, 19, 3, 33, 1, 5, 17, 1, 45, 4, 1, 45, 11,
+ 44, 32, 3, 1, 3, 7, 17, 15, 5, 45, 35, 41, 1, 35, 3, 3, 19, 1, 9, 17, 29, 29, 3, 1, 13, 1, 3, 47, 21, 13, 7, 1,
+ 7, 5, 1, 11, 1, 40, 9, 7, 3, 3, 13, 25, 1, 47, 5, 7, 3, 7, 31, 40, 34, 6, 3, 15, 3, 31, 5, 13, 27, 9, 12, 21,
+ 3, 1, 19, 1, 19, 5, 47, 49, 47, 42, 50, 34, 29, 23, 1, 5, 9, 16, 11, 7, 1, 19, 7, 5, 1, 15, 1, 1, 9, 13, 9, 5,
+ 27, 3, 3, 29, 1, 33, 3, 9, 5, 35, 5, 1, 17, 7, 3, 39, 3, 28, 19, 1, 1, 9, 1, 3, 27, 1, 37, 3, 1, 1, 16, 3,
+ 25, 11, 5, 3, 33, 45, 17, 11, 7, 22, 9, 1, 5, 5, 5, 15, 1, 15, 9, 7, 11, 13, 37, 49, 46, 38, 11, 1, 25, 1, 13, 18,
+ 3, 7, 39, 3, 37, 19, 35, 3, 1, 3, 19, 1, 3, 15, 21, 3, 27, 1, 45, 48, 1, 13, 29, 9, 1, 1, 46, 43, 5, 15, 3, 7,
+ 29, 26, 5, 5, 21, 37, 17, 21, 3, 13, 1, 5, 1, 17, 5, 31, 13, 1, 11, 3, 46, 9, 3, 7, 1, 1, 41, 1, 21, 1, 5, 12,
+ 7, 13, 9, 25, 1, 47, 47, 48, 48, 48, 48, 48, 47, 48, 45, 45, 33, 52, 50, 46, 45, 47, 35, 41, 38, 35, 42, 38, 34, 41, 39, 35,
+ 51, 51, 45, 43, 49, 52, 53, 45, 42, 46, 37, 53, 49, 41, 46, 49, 46, 47, 48, 37, 41, 33, 43, 38, 15, 3, 3, 27, 11, 5, 23, 13,
+ 1, 1, 37, 3, 15, 3, 30, 13, 3, 45, 12, 3, 5, 11, 1, 1, 21, 9, 11, 19, 1, 1, 1, 25, 5, 21, 3, 1, 32, 44, 3, 33,
+ 11, 7, 5, 23, 1, 37, 47, 48, 48, 48, 48, 48, 48, 46, 47, 47, 50, 45, 49, 50, 46, 47, 49, 45, 51, 49, 50, 49, 49, 46, 47, 48,
+ 46, 48, 46, 50, 46, 43, 46, 46, 48, 47, 46, 47, 45, 49, 46, 43, 50, 45, 45, 49, 45, 48, 45, 49, 48, 45, 45, 51, 45, 51, 45, 46,
+ 52, 45, 45, 51, 51, 52, 44, 45, 52, 50, 50, 46, 47, 51, 51, 46, 47, 47, 47, 50, 47, 51, 48, 49, 51, 50, 48, 48, 48, 50, 49, 49,
+ 52, 52, 49, 50, 49, 49, 49, 51, 52, 49, 52, 50, 49, 47, 29, 15, 39, 17, 31, 5, 40, 5, 18, 23, 25, 7, 35, 26, 5, 31, 49, 22,
+ 3, 17, 7, 49, 7, 49, 47, 12, 44, 46, 36, 15, 3, 1, 47, 13, 35, 40, 5, 21, 19, 39, 21, 33, 31, 29, 1, 1, 37, 1, 15, 47,
+ 7, 7, 47, 41, 13, 3, 47, 31, 9, 33, 13, 43, 29, 5, 1, 9, 33, 7, 27, 15, 15, 25, 5, 43, 22, 31, 7, 1, 47, 1, 15, 27,
+ 3, 27, 45, 15, 1, 36, 17, 1, 23, 39, 38, 45, 7, 7, 19, 7, 11, 47, 33, 16, 3, 45, 45, 45, 9, 27, 3, 3, 21, 3, 7, 21,
+ 7, 3, 43, 1, 17, 1, 45, 37, 46, 5, 5, 13, 46, 40, 48, 48, 45, 34, 1, 46, 19, 25, 9, 7, 47, 23, 37, 31, 3, 25, 13, 46,
+ 31, 25, 5, 46, 35, 52, 11, 23, 27, 4, 15, 11, 11, 11, 9, 34, 7, 9, 15, 34, 9, 27, 37, 28, 25, 45, 13, 30, 5, 25, 15, 7,
+ 3, 19, 27, 1, 7, 11, 1, 32, 3, 45, 11, 9, 21, 25, 9, 13, 13, 1, 7, 1, 33, 11, 5, 3, 3, 27, 27, 5, 3, 37, 17, 17,
+ 3, 7, 5, 13, 1, 3, 44, 45, 26, 25, 1, 13, 3, 13, 3, 11, 1, 11, 7, 45, 3, 3, 1, 43, 1, 19, 3, 1, 15, 5, 39, 7,
+ 7, 1, 9, 1, 11, 19, 3, 35, 29, 7, 15, 11, 40, 7, 44, 38, 34, 7, 9, 7, 1, 27, 1, 9, 5, 45, 1, 21, 3, 1, 5, 9,
+ 3, 21, 23, 33, 3, 1, 7, 3, 3, 7, 41, 9, 7, 1, 5, 31, 9, 7, 1, 1, 11, 41, 51, 20, 9, 47, 39, 17, 9, 35, 1, 41,
+ 1, 19, 1, 19, 15, 1, 13, 5, 23, 15, 9, 15, 17, 1, 15, 27, 33, 31, 29, 7, 13, 1, 5, 45, 5, 1, 1, 11, 1, 13, 3, 7,
+ 9, 1, 13, 39, 3, 33, 5, 3, 7, 7, 5, 29, 11, 1, 7, 1, 15, 3, 13, 3, 15, 3, 3, 1, 5, 1, 9, 1, 44, 49, 24, 25,
+ 1, 1, 34, 22, 7, 5, 5, 5, 10, 9, 13, 3, 9, 1, 9, 19, 7, 43, 48, 7, 11, 7, 3, 3, 7, 21, 1, 1, 3, 3, 11, 31,
+ 1, 1, 13, 22, 23, 7, 27, 9, 3, 3, 21, 1, 35, 21, 9, 11, 13, 39, 1, 3, 7, 23, 3, 28, 3, 45, 47, 38, 32, 37, 34, 1,
+ 23, 3, 3, 1, 19, 19, 1, 5, 13, 1, 5, 11, 38, 3, 1, 36, 13, 1, 1, 23, 5, 17, 11, 1, 13, 1, 3, 7, 11, 3, 33, 7,
+ 19, 5, 5, 1, 1, 3, 5, 41, 1, 3, 25, 1, 7, 7, 9, 3, 11, 3, 13, 5, 7, 1, 3, 9, 1, 1, 43, 47, 47, 47, 17, 7,
+ 17, 3, 19, 1, 9, 9, 33, 22, 1, 25, 1, 3, 3, 32, 5, 1, 23, 9, 5, 1, 31, 5, 9, 1, 3, 7, 19, 1, 12, 11, 5, 1,
+ 1, 9, 25, 15, 15, 13, 5, 3, 15, 1, 17, 1, 1, 5, 5, 41, 11, 15, 7, 3, 21, 21, 35, 22, 46, 35, 3, 27, 5, 3, 45, 22,
+ 27, 1, 19, 9, 1, 25, 1, 29, 3, 5, 25, 17, 27, 5, 19, 5, 25, 7, 19, 1, 9, 21, 3, 7, 29, 27, 17, 3, 3, 15, 7, 19,
+ 5, 25, 1, 23, 45, 4, 31, 1, 37, 14, 29, 3, 29, 1, 23, 29, 19, 11, 1, 13, 13, 9, 1, 25, 1, 33, 1, 37, 37, 23, 7, 21,
+ 7, 3, 13, 7, 3, 7, 21, 11, 9, 1, 31, 3, 1, 7, 39, 46, 3, 30,
+ },
+ },
+ {
+ 0,
+ 1562704,
+ 1564001,
+ 1562704,
+ 5521986,
+ {
+ 35, 45, 23, 3, 44, 47, 44, 3, 17, 35, 7, 11, 7, 29, 43, 27, 11, 7, 5, 31, 13, 9, 45, 45, 7, 42, 17, 15, 19, 11, 45, 19,
+ 45, 46, 45, 46, 32, 34, 43, 34, 46, 47, 45, 30, 17, 45, 46, 36, 35, 38, 19, 9, 23, 17, 3, 19, 31, 41, 35, 24, 15, 45, 15, 5,
+ 11, 5, 19, 11, 11, 7, 15, 19, 45, 34, 7, 7, 29, 1, 9, 36, 7, 44, 45, 33, 25, 8, 17, 7, 44, 43, 48, 45, 42, 46, 40, 44,
+ 1, 43, 45, 46, 46, 35, 19, 19, 23, 5, 13, 19, 7, 16, 9, 3, 25, 34, 3, 27, 9, 39, 3, 43, 21, 1, 45, 45, 39, 25, 23, 13,
+ 39, 39, 3, 45, 43, 46, 44, 40, 39, 33, 45, 47, 38, 45, 45, 39, 47, 47, 45, 46, 35, 45, 43, 47, 45, 40, 34, 42, 42, 48, 49, 47,
+ 47, 48, 47, 45, 43, 48, 37, 48, 41, 45, 48, 34, 42, 44, 9, 19, 27, 1, 47, 47, 43, 25, 29, 5, 5, 21, 39, 35, 43, 37, 13, 45,
+ 25, 31, 26, 47, 45, 23, 23, 39, 32, 25, 44, 47, 35, 47, 15, 17, 7, 9, 5, 35, 31, 3, 45, 47, 46, 13, 17, 48, 45, 9, 13, 45,
+ 45, 31, 1, 53, 44, 46, 39, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 47, 47, 47, 47, 47, 47, 47, 47, 53, 49, 45, 45, 50,
+ 50, 27, 43, 46, 47, 46, 45, 48, 36, 42, 42, 46, 45, 47, 41, 45, 43, 47, 38, 48, 47, 33, 11, 45, 46, 34, 42, 32, 3, 45, 37, 45,
+ 15, 3, 45, 29, 31, 9, 5, 3, 27, 5, 21, 25, 7, 15, 46, 34, 5, 3, 17, 3, 9, 13, 7, 11, 3, 1, 34, 13, 7, 45, 33, 26,
+ 9, 5, 9, 41, 43, 34, 3, 35, 3, 17, 37, 11, 17, 3, 15, 27, 15, 45, 46, 13, 26, 16, 11, 7, 5, 45, 38, 45, 45, 22, 44, 44,
+ 43, 6, 11, 35, 15, 44, 17, 27, 13, 3, 40, 5, 9, 7, 35, 19, 5, 5, 1, 28, 33, 15, 45, 5, 29, 3, 31, 12, 5, 32, 24, 3,
+ 23, 13, 47, 45, 42, 46, 39, 21, 21, 1, 44, 44, 47, 41, 5, 1, 11, 36, 20, 5, 45, 39, 45, 45, 44, 45, 32, 22, 40, 11, 38, 1,
+ 45, 46, 37, 9, 23, 9, 15, 44, 7, 16, 38, 46, 11, 14, 24, 19, 19, 7, 26, 25, 45, 37, 17, 1, 35, 1, 3, 28, 3, 11, 22, 13,
+ 3, 1, 7, 38, 5, 3, 1, 26, 1, 3, 43, 44, 46, 45, 21, 11, 1, 44, 27, 1, 11, 26, 10, 44, 45, 45, 45, 47, 47, 45, 48, 45,
+ 38, 9, 5, 44, 46, 27, 3, 12, 1, 11, 3, 44, 43, 1, 5, 2, 46, 17, 13, 19, 1, 12, 7, 23, 1, 17, 6, 13, 3, 5, 27, 7,
+ 46, 36, 19, 25, 1, 1, 3, 8, 15, 3, 45, 45, 45, 37, 6, 15, 3, 5, 38, 14, 41, 1, 13, 45, 45, 39, 44, 29, 43, 48, 51, 50,
+ 37, 5, 17, 46, 47, 31, 5, 42, 49, 38, 39, 24, 7, 11, 44, 35, 21, 6, 15, 5, 47, 13, 28, 45, 34, 27, 24, 15, 35, 13, 7, 25,
+ 43, 13, 14, 5, 3, 5, 46, 45, 45, 35, 5, 21, 28, 3, 13, 4, 30, 19, 45, 45, 40, 37, 5, 40, 17, 9, 3, 9, 13, 4, 17, 33,
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+ }
+ }
+};
+