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This demonstrates an error in reading data from a dense subarray after having written to the same subarray immediately prior. Expected behavior would be that we never get fill values back from the read. Currently, the behavior is that sometimes we get fill values back. --- TYPE: NO_HISTORY DESC: Regression test for SC-52975. --------- Co-authored-by: Luc Rancourt <[email protected]> Co-authored-by: KiterLuc <[email protected]>
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/** | ||
* @file sc-52975.cc | ||
* | ||
* @section LICENSE | ||
* | ||
* The MIT License | ||
* | ||
* @copyright Copyright (c) 2024 TileDB, Inc. | ||
* | ||
* Permission is hereby granted, free of charge, to any person obtaining a copy | ||
* of this software and associated documentation files (the "Software"), to deal | ||
* in the Software without restriction, including without limitation the rights | ||
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
* copies of the Software, and to permit persons to whom the Software is | ||
* furnished to do so, subject to the following conditions: | ||
* | ||
* The above copyright notice and this permission notice shall be included in | ||
* all copies or substantial portions of the Software. | ||
* | ||
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN | ||
* THE SOFTWARE. | ||
*/ | ||
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#include <chrono> | ||
#include <climits> | ||
#include <numeric> | ||
#include <thread> | ||
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#include <tiledb/tiledb> | ||
#include <tiledb/tiledb_experimental> | ||
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#include <test/support/tdb_catch.h> | ||
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using namespace tiledb; | ||
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static void create_array(const std::string& array_uri); | ||
static void write_array(const std::string& array_uri, int8_t min, int8_t max); | ||
static bool read_array(const std::string& array_uri, int8_t min, int8_t max); | ||
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std::vector<uint64_t> get_attr_data(); | ||
std::vector<uint8_t> get_attr_validity(); | ||
std::vector<std::pair<int8_t, int8_t>> get_subarrays(); | ||
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TEST_CASE( | ||
"PJD: Attempt to reproduce bug", | ||
"[reproducer][bug][scXXXXX][!shouldfail]") { | ||
std::string array_uri = "test_reproducer"; | ||
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std::size_t successes = 0; | ||
std::size_t failures = 0; | ||
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auto subarrays = get_subarrays(); | ||
std::size_t num_cases = subarrays.size(); | ||
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for (auto subarray : subarrays) { | ||
create_array(array_uri); | ||
write_array(array_uri, subarray.first, subarray.second); | ||
if (read_array(array_uri, subarray.first, subarray.second)) { | ||
successes += 1; | ||
} else { | ||
failures += 1; | ||
} | ||
} | ||
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REQUIRE(((successes == num_cases) && (failures == 0))); | ||
} | ||
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void create_array(const std::string& array_uri) { | ||
Context ctx; | ||
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auto obj = Object::object(ctx, array_uri); | ||
if (obj.type() != Object::Type::Invalid) { | ||
Object::remove(ctx, array_uri); | ||
} | ||
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auto dim = Dimension::create<int8_t>(ctx, "dim", {{-91, 90}}, 1); | ||
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Domain dom(ctx); | ||
dom.add_dimension(dim); | ||
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uint64_t fill_value = 15110407019492443053llu; | ||
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auto attr = Attribute::create<uint64_t>(ctx, "attr"); | ||
attr.set_nullable(true); | ||
attr.set_fill_value(&fill_value, sizeof(uint64_t), 0); | ||
// Maybe: FilterList [BitShuffle, ByteShuffle] | ||
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ArraySchema schema(ctx, TILEDB_DENSE); | ||
schema.set_capacity(340418807209297907) | ||
.set_allows_dups(false) | ||
.set_cell_order(TILEDB_ROW_MAJOR) | ||
.set_tile_order(TILEDB_ROW_MAJOR) | ||
.set_domain(dom) | ||
.add_attribute(attr); | ||
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Array::create(array_uri, schema); | ||
} | ||
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void write_array(const std::string& array_uri, int8_t min, int8_t max) { | ||
Context ctx; | ||
Array array(ctx, array_uri, TILEDB_WRITE); | ||
Query query(ctx, array, TILEDB_WRITE); | ||
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Subarray subarray(ctx, array); | ||
subarray.add_range(0, min, max); | ||
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auto attr_data = get_attr_data(); | ||
auto attr_validity = get_attr_validity(); | ||
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attr_data.resize(max - min + 1); | ||
attr_validity.resize(max - min + 1); | ||
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query.set_layout(TILEDB_ROW_MAJOR) | ||
.set_subarray(subarray) | ||
.set_data_buffer("attr", attr_data) | ||
.set_validity_buffer("attr", attr_validity); | ||
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REQUIRE(query.submit() == Query::Status::COMPLETE); | ||
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array.close(); | ||
} | ||
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bool read_array(const std::string& array_uri, int8_t min, int8_t max) { | ||
Context ctx; | ||
Array array(ctx, array_uri, TILEDB_READ); | ||
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Subarray subarray(ctx, array); | ||
subarray.add_range(0, min, max); | ||
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std::vector<int8_t> dim(1024); | ||
std::vector<uint64_t> data(1024); | ||
std::vector<uint8_t> validity(1024); | ||
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Query query(ctx, array, TILEDB_READ); | ||
query.set_layout(TILEDB_ROW_MAJOR) | ||
.set_subarray(subarray) | ||
.set_data_buffer("dim", dim) | ||
.set_data_buffer("attr", data) | ||
.set_validity_buffer("attr", validity); | ||
REQUIRE(query.submit() == Query::Status::COMPLETE); | ||
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dim.resize(max - min + 1); | ||
data.resize(max - min + 1); | ||
validity.resize(max - min + 1); | ||
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uint64_t fill_value = 15110407019492443053llu; | ||
for (auto d : data) { | ||
if (d == fill_value) { | ||
return false; | ||
} | ||
} | ||
for (auto v : validity) { | ||
if (v == 0) { | ||
return false; | ||
} | ||
} | ||
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return true; | ||
} | ||
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std::vector<uint64_t> get_attr_data() { | ||
std::vector<uint64_t> data(1024); | ||
std::iota(data.begin(), data.end(), 0); | ||
return data; | ||
} | ||
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std::vector<uint8_t> get_attr_validity() { | ||
std::vector<uint8_t> validity(1024, 1); | ||
return validity; | ||
} | ||
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// Any value past 37 will cause issues here as 37 - (-91) = 128. Some of our | ||
// computations will interpret 128 as an int8 when they shouldn't and use a | ||
// negative number. This will require a full revision of the dense code to fix | ||
// all erroneous int8 conversions, which is a lot of code to correct. | ||
std::vector<std::pair<int8_t, int8_t>> get_subarrays() { | ||
return { | ||
{-77, -77}, {-72, -72}, {-71, -60}, {-70, -31}, {-67, -34}, {-67, -57}, | ||
{-66, -63}, {-58, -43}, {-58, -48}, {-57, -56}, {-56, -48}, {-53, 34}, | ||
{-52, -52}, {-50, -39}, {-47, 15}, {-44, -21}, {-43, -32}, {-42, -15}, | ||
{-42, -34}, {-41, -33}, {-40, -20}, {-38, -3}, {-37, -23}, {-36, -28}, | ||
{-36, -34}, {-34, -33}, {-29, -25}, {-29, -26}, {-29, -27}, {-29, 12}, | ||
{-28, -25}, {-28, 12}, {-26, -15}, {-25, 1}, {-25, 26}, {-23, 6}, | ||
{-22, -20}, {-22, 29}, {-22, 33}, {-22, 35}, {-22, 36}, {-22, 37}, | ||
{-22, 37}, {-22, 44}, {-22, 58}, {-18, -15}, {-17, -17}, {-17, 19}, | ||
{-17, 29}, {-17, 34}, {-17, 36}, {-17, 37}, {-17, 38}, {-16, -1}, | ||
{-15, 27}, {-14, -10}, {-14, -5}, {-14, -7}, {-14, -8}, {-14, 12}, | ||
{-11, -10}, {-11, 21}, {-11, 29}, {-11, 32}, {-11, 35}, {-11, 36}, | ||
{-11, 37}, {-11, 37}, {-11, 38}, {-11, 43}, {-11, 6}, {-10, 10}, | ||
{-10, 7}, {-8, -2}, {-8, -2}, {-8, 23}, {-8, 23}, {-8, 35}, | ||
{-8, 36}, {-8, 37}, {-8, 37}, {-8, 38}, {-8, 4}, {-8, 41}, | ||
{-8, 47}, {-7, -4}, {-7, 0}, {-5, 14}, {-5, 24}, {-5, 31}, | ||
{-5, 34}, {-5, 36}, {-5, 37}, {-5, 37}, {-5, 49}, {-4, -4}, | ||
{-4, 10}, {-4, 14}, {-4, 20}, {-4, 31}, {-4, 34}, {-4, 36}, | ||
{-4, 36}, {-4, 37}, {-4, 37}, {-4, 37}, {-4, 38}, {-4, 39}, | ||
{-4, 39}, {-4, 41}, {-4, 43}, {-4, 51}, {-4, 68}, {-4, 9}, | ||
{-2, -2}, {-2, 1}, {-2, 10}, {-2, 16}, {-2, 20}, {-2, 22}, | ||
{-2, 22}, {-2, 3}, {-2, 30}, {-2, 31}, {-2, 34}, {-2, 34}, | ||
{-2, 36}, {-2, 36}, {-2, 36}, {-2, 37}, {-2, 37}, {-2, 37}, | ||
{-2, 37}, {-2, 37}, {-2, 38}, {-2, 39}, {-2, 40}, {-2, 40}, | ||
{-2, 41}, {-2, 45}, {-2, 45}, {-1, 18}, {-1, 24}, {-1, 27}, | ||
{-1, 27}, {-1, 28}, {-1, 31}, {-1, 33}, {-1, 34}, {-1, 34}, | ||
{-1, 35}, {-1, 36}, {-1, 36}, {-1, 36}, {-1, 37}, {-1, 37}, | ||
{-1, 37}, {-1, 37}, {-1, 37}, {-1, 38}, {-1, 41}, {-1, 49}, | ||
{-1, 5}, {-1, 55}, {0, 0}, {0, 11}, {0, 14}, {0, 18}, | ||
{0, 19}, {0, 19}, {0, 20}, {0, 21}, {0, 22}, {0, 23}, | ||
{0, 24}, {0, 25}, {0, 25}, {0, 26}, {0, 26}, {0, 27}, | ||
{0, 27}, {0, 28}, {0, 28}, {0, 28}, {0, 29}, {0, 29}, | ||
{0, 31}, {0, 31}, {0, 32}, {0, 32}, {0, 33}, {0, 33}, | ||
{0, 33}, {0, 33}, {0, 34}, {0, 34}, {0, 34}, {0, 34}, | ||
{0, 35}, {0, 35}, {0, 35}, {0, 35}, {0, 35}, {0, 35}, | ||
{0, 35}, {0, 36}, {0, 36}, {0, 36}, {0, 36}, {0, 36}, | ||
{0, 36}, {0, 36}, {0, 36}, {0, 36}, {0, 36}, {0, 36}, | ||
{0, 36}, {0, 36}, {0, 37}, {0, 37}, {0, 37}, {0, 37}, | ||
{0, 37}, {0, 37}, {0, 37}, {0, 37}, {0, 37}, {0, 37}, | ||
{0, 37}, {0, 37}, {0, 37}, {0, 37}, {0, 37}, {0, 37}, | ||
{0, 37}, {0, 37}, {0, 37}, {0, 37}, {0, 38}, {0, 38}, | ||
{0, 38}, {0, 38}, {0, 38}, {0, 38}, {0, 39}, {0, 39}, | ||
{0, 39}, {0, 39}, {0, 39}, {0, 4}, {0, 40}, {0, 41}, | ||
{0, 41}, {0, 41}, {0, 42}, {0, 42}, {0, 46}, {0, 47}, | ||
{0, 5}, {0, 50}, {0, 52}, {0, 53}, {0, 55}, {0, 56}, | ||
{0, 62}, {0, 75}, {0, 8}, {1, 1}, {1, 13}, {1, 13}, | ||
{1, 13}, {1, 15}, {1, 16}, {1, 18}, {1, 19}, {1, 19}, | ||
{1, 19}, {1, 2}, {1, 20}, {1, 20}, {1, 21}, {1, 21}, | ||
{1, 21}, {1, 21}, {1, 21}, {1, 22}, {1, 23}, {1, 25}, | ||
{1, 26}, {1, 27}, {1, 29}, {1, 29}, {1, 3}, {1, 30}, | ||
{1, 30}, {1, 31}, {1, 31}, {1, 31}, {1, 32}, {1, 34}, | ||
{1, 34}, {1, 34}, {1, 34}, {1, 34}, {1, 35}, {1, 35}, | ||
{1, 35}, {1, 35}, {1, 36}, {1, 36}, {1, 36}, {1, 36}, | ||
{1, 36}, {1, 36}, {1, 36}, {1, 36}, {1, 36}, {1, 37}, | ||
{1, 37}, {1, 37}, {1, 37}, {1, 37}, {1, 37}, {1, 37}, | ||
{1, 37}, {1, 37}, {1, 37}, {1, 37}, {1, 37}, {1, 38}, | ||
{1, 38}, {1, 38}, {1, 38}, {1, 38}, {1, 38}, {1, 38}, | ||
{1, 39}, {1, 39}, {1, 39}, {1, 39}, {1, 41}, {1, 41}, | ||
{1, 41}, {1, 41}, {1, 41}, {1, 42}, {1, 45}, {1, 46}, | ||
{1, 54}, {1, 59}, {1, 6}, {1, 75}, {1, 9}, {1, 9}, | ||
{2, 17}, {2, 19}, {2, 19}, {2, 2}, {2, 21}, {2, 22}, | ||
{2, 23}, {2, 27}, {2, 28}, {2, 28}, {2, 28}, {2, 31}, | ||
{2, 33}, {2, 33}, {2, 33}, {2, 34}, {2, 35}, {2, 35}, | ||
{2, 35}, {2, 36}, {2, 36}, {2, 36}, {2, 36}, {2, 36}, | ||
{2, 36}, {2, 37}, {2, 37}, {2, 37}, {2, 37}, {2, 37}, | ||
{2, 37}, {2, 37}, {2, 37}, {2, 37}, {2, 37}, {2, 38}, | ||
{2, 38}, {2, 38}, {2, 40}, {2, 40}, {2, 41}, {2, 43}, | ||
{2, 45}, {2, 54}, {2, 72}, {2, 79}, {3, 10}, {3, 20}, | ||
{3, 23}, {3, 28}, {3, 29}, {3, 33}, {3, 34}, {3, 35}, | ||
{3, 36}, {3, 36}, {3, 36}, {3, 37}, {3, 37}, {3, 37}, | ||
{3, 37}, {3, 38}, {3, 38}, {3, 38}, {3, 41}, {3, 43}, | ||
{3, 54}, {3, 9}, {4, 14}, {4, 16}, {4, 22}, {4, 23}, | ||
{4, 23}, {4, 23}, {4, 23}, {4, 32}, {4, 33}, {4, 33}, | ||
{4, 33}, {4, 35}, {4, 36}, {4, 36}, {4, 36}, {4, 36}, | ||
{4, 37}, {4, 37}, {4, 37}, {4, 37}, {4, 37}, {4, 38}, | ||
{4, 38}, {4, 38}, {4, 41}, {4, 42}, {4, 42}, {4, 43}, | ||
{4, 5}, {4, 8}, {4, 9}, {5, 10}, {5, 12}, {5, 13}, | ||
{5, 21}, {5, 22}, {5, 24}, {5, 24}, {5, 26}, {5, 30}, | ||
{5, 31}, {5, 31}, {5, 32}, {5, 34}, {5, 34}, {5, 35}, | ||
{5, 35}, {5, 35}, {5, 36}, {5, 36}, {5, 36}, {5, 36}, | ||
{5, 36}, {5, 37}, {5, 37}, {5, 37}, {5, 37}, {5, 37}, | ||
{5, 37}, {5, 37}, {5, 37}, {5, 37}, {5, 38}, {5, 38}, | ||
{5, 39}, {5, 39}, {5, 44}, {5, 44}, {5, 44}, {5, 45}, | ||
{5, 47}, {5, 57}, {5, 58}, {6, 11}, {6, 12}, {6, 15}, | ||
{6, 15}, {6, 15}, {6, 16}, {6, 18}, {6, 22}, {6, 22}, | ||
{6, 22}, {6, 24}, {6, 26}, {6, 29}, {6, 29}, {6, 30}, | ||
{6, 31}, {6, 31}, {6, 32}, {6, 32}, {6, 34}, {6, 34}, | ||
{6, 35}, {6, 35}, {6, 35}, {6, 36}, {6, 36}, {6, 36}, | ||
{6, 36}, {6, 37}, {6, 37}, {6, 37}, {6, 37}, {6, 37}, | ||
{6, 37}, {6, 37}, {6, 38}, {6, 38}, {6, 39}, {6, 41}, | ||
{6, 47}, {6, 53}, {6, 7}, {6, 9}, {6, 9}, {7, 12}, | ||
{7, 21}, {7, 22}, {7, 22}, {7, 23}, {7, 30}, {7, 31}, | ||
{7, 31}, {7, 32}, {7, 34}, {7, 34}, {7, 35}, {7, 36}, | ||
{7, 36}, {7, 36}, {7, 36}, {7, 37}, {7, 37}, {7, 37}, | ||
{7, 37}, {7, 37}, {7, 37}, {7, 37}, {7, 38}, {7, 39}, | ||
{7, 39}, {7, 43}, {7, 45}, {7, 55}, {7, 57}, {7, 67}, | ||
{8, 10}, {8, 12}, {8, 13}, {8, 16}, {8, 19}, {8, 23}, | ||
{8, 24}, {8, 24}, {8, 26}, {8, 27}, {8, 28}, {8, 32}, | ||
{8, 32}, {8, 33}, {8, 33}, {8, 34}, {8, 35}, {8, 35}, | ||
{8, 35}, {8, 36}, {8, 36}, {8, 36}, {8, 36}, {8, 36}, | ||
{8, 37}, {8, 37}, {8, 37}, {8, 37}, {8, 37}, {8, 37}, | ||
{8, 37}, {8, 37}, {8, 37}, {8, 38}, {8, 39}, {8, 40}, | ||
{8, 40}, {8, 41}, {8, 46}, {8, 47}, {8, 49}, {8, 59}, | ||
{8, 9}, {9, 10}, {9, 23}, {9, 27}, {9, 28}, {9, 30}, | ||
{9, 30}, {9, 32}, {9, 34}, {9, 35}, {9, 35}, {9, 36}, | ||
{9, 36}, {9, 36}, {9, 37}, {9, 37}, {9, 37}, {9, 37}, | ||
{9, 37}, {9, 38}, {9, 39}, {9, 41}, {9, 46}, {9, 52}, | ||
{9, 65}, {10, 16}, {10, 19}, {10, 24}, {10, 24}, {10, 29}, | ||
{10, 31}, {10, 32}, {10, 34}, {10, 35}, {10, 36}, {10, 36}, | ||
{10, 36}, {10, 36}, {10, 37}, {10, 37}, {10, 37}, {10, 37}, | ||
{10, 37}, {10, 37}, {10, 38}, {10, 38}, {10, 38}, {10, 39}, | ||
{10, 39}, {10, 40}, {10, 43}, {10, 48}, {10, 49}, {10, 62}, | ||
{10, 67}, {10, 69}, {11, 28}, {11, 31}, {11, 33}, {11, 35}, | ||
{11, 36}, {11, 36}, {11, 36}, {11, 37}, {11, 37}, {11, 37}, | ||
{11, 37}, {11, 38}, {11, 38}, {11, 39}, {11, 40}, {11, 41}, | ||
{11, 43}, {11, 46}, {11, 49}, {11, 51}, {11, 62}, {12, 27}, | ||
{12, 33}, {12, 35}, {12, 36}, {12, 36}, {12, 37}, {12, 37}, | ||
{12, 37}, {12, 38}, {12, 39}, {12, 39}, {12, 43}, {12, 44}, | ||
{12, 54}, {12, 74}, {13, 13}, {13, 13}, {13, 16}, {13, 17}, | ||
{13, 26}, {13, 28}, {13, 29}, {13, 29}, {13, 31}, {13, 33}, | ||
{13, 33}, {13, 35}, {13, 36}, {13, 36}, {13, 36}, {13, 36}, | ||
{13, 37}, {13, 37}, {13, 37}, {13, 37}, {13, 37}, {13, 38}, | ||
{13, 38}, {13, 38}, {13, 39}, {13, 39}, {13, 39}, {13, 41}, | ||
{13, 42}, {13, 45}, {13, 48}, {13, 50}, {13, 60}, {14, 25}, | ||
{14, 26}, {14, 28}, {14, 28}, {14, 32}, {14, 35}, {14, 35}, | ||
{14, 35}, {14, 36}, {14, 36}, {14, 36}, {14, 37}, {14, 37}, | ||
{14, 37}, {14, 37}, {14, 37}, {14, 37}, {14, 38}, {14, 39}, | ||
{14, 39}, {14, 42}, {14, 42}, {14, 63}, {14, 70}, {15, 24}, | ||
{15, 24}, {15, 26}, {15, 29}, {15, 30}, {15, 32}, {15, 35}, | ||
{15, 36}, {15, 36}, {15, 37}, {15, 37}, {15, 37}, {15, 38}, | ||
{15, 40}, {15, 43}, {16, 28}, {16, 31}, {16, 33}, {16, 34}, | ||
{16, 35}, {16, 36}, {16, 36}, {16, 37}, {16, 37}, {16, 37}, | ||
{16, 37}, {16, 38}, {16, 40}, {16, 40}, {16, 45}, {16, 55}, | ||
{17, 21}, {17, 23}, {17, 30}, {17, 33}, {17, 35}, {17, 36}, | ||
{17, 36}, {17, 37}, {17, 37}, {17, 37}, {17, 38}, {17, 38}, | ||
{17, 40}, {17, 42}, {17, 45}, {17, 50}, {17, 54}, {18, 32}, | ||
{18, 34}, {18, 36}, {18, 37}, {18, 38}, {18, 39}, {18, 46}, | ||
{18, 75}, {19, 20}, {19, 21}, {19, 34}, {20, 29}, {20, 30}, | ||
{20, 30}, {20, 32}, {20, 33}, {20, 34}, {20, 35}, {20, 35}, | ||
{20, 36}, {20, 36}, {20, 36}, {20, 36}, {20, 37}, {20, 37}, | ||
{20, 37}, {20, 37}, {20, 37}, {20, 37}, {20, 38}, {20, 38}, | ||
{20, 38}, {20, 39}, {20, 40}, {20, 40}, {20, 45}, {20, 47}, | ||
{20, 57}, {20, 70}, {21, 29}, {21, 33}, {21, 35}, {21, 36}, | ||
{21, 37}, {21, 37}, {21, 54}, {22, 22}, {22, 25}, {23, 33}, | ||
{23, 36}, {23, 37}, {23, 38}, {23, 43}, {24, 25}, {24, 25}, | ||
{24, 36}, {24, 37}, {24, 38}, {24, 40}, {24, 43}, {24, 49}, | ||
{25, 31}, {25, 32}, {25, 35}, {25, 36}, {25, 36}, {25, 36}, | ||
{25, 37}, {25, 37}, {25, 37}, {25, 37}, {25, 38}, {25, 38}, | ||
{25, 38}, {25, 39}, {25, 40}, {25, 42}, {25, 47}, {25, 51}, | ||
{25, 55}, {26, 27}, {26, 34}, {26, 36}, {26, 37}, {26, 38}, | ||
{26, 42}, {26, 59}, {27, 32}, {27, 32}, {27, 33}, {27, 35}, | ||
{27, 35}, {27, 36}, {27, 36}, {27, 37}, {27, 37}, {27, 37}, | ||
{27, 37}, {27, 38}, {27, 48}, {27, 49}, {27, 69}, {28, 30}, | ||
{28, 33}, {28, 34}, {28, 36}, {28, 36}, {28, 37}, {28, 37}, | ||
{28, 37}, {28, 38}, {28, 40}, {28, 49}, {28, 53}, {28, 71}, | ||
{28, 79}, {30, 36}, {31, 34}, {31, 36}, {31, 37}, {31, 38}, | ||
{31, 46}, {31, 61}, {32, 35}, {32, 36}, {32, 37}, {32, 37}, | ||
{32, 38}, {32, 44}, {34, 36}, {34, 37}, {34, 38}, {34, 43}, | ||
{34, 52}, {34, 71}, {35, 36}, {35, 36}, {35, 36}, {35, 37}, | ||
{35, 37}, {35, 37}, {35, 38}, {35, 39}, {35, 42}, {35, 44}, | ||
{35, 54}, {37, 42}, {37, 65}, {38, 46}, {39, 52}, {40, 40}, | ||
{41, 44}, {42, 43}, {42, 45}, {43, 44}, {44, 48}, {44, 62}, | ||
{46, 76}, {51, 55}, {51, 74}, {52, 56}, {52, 60}, {52, 63}, | ||
{54, 55}, {55, 58}, {55, 63}, {58, 60}, {61, 63}, {61, 63}, | ||
{61, 75}, {62, 63}, {63, 63}, {64, 65}, {66, 66}, {66, 69}, | ||
{68, 68}, {68, 68}, {68, 68}, {69, 69}, {69, 79}, {70, 70}, | ||
{70, 80}, {71, 73}, {73, 75}, {74, 74}, {74, 77}, {74, 78}, | ||
{74, 82}, {75, 76}, {75, 79}, {76, 80}, {77, 78}, {77, 78}, | ||
{77, 81}, {77, 83}, {79, 79}, {79, 81}, {79, 83}, {80, 80}, | ||
{80, 87}, {81, 81}, {81, 81}, {81, 82}, {82, 82}, {83, 83}, | ||
{83, 84}, {84, 86}, {87, 88}, {88, 88}, {88, 88}, {88, 89}, | ||
{89, 89}, {89, 89}, {89, 89}, {89, 89}, {90, 90}}; | ||
} |