convexHullPolygon.wlt

<|
  "convexHullPolygon" -> <|
    "init" -> (
      Global`convexHullPolygon = SetReplace`PackageScope`convexHullPolygon;
    ),
    "tests" -> {
      (* Integers *)
      VerificationTest[
        Round[First[convexHullPolygon[#]]],
        #2
      ] & @@@ {
        (* these examples have been visually verified *)
        {{{0, 0}}, {{0, 0}}},
        {{{0, 0}, {0, 0}}, {{0, 0}}},
        {{{0, 0}, {0, 4}}, {{0, 0}, {0, 4}}},
        {{{0, 4}, {0, 0}}, {{0, 0}, {0, 4}}},
        {{{0, 0}, {1, 4}}, {{0, 0}, {1, 4}}},
        {{{1, 4}, {0, 0}}, {{0, 0}, {1, 4}}},
        {{{1, 4}, {0, 4}}, {{0, 4}, {1, 4}}},
        {{{0, 4}, {1, 4}}, {{0, 4}, {1, 4}}},
        {{{1, 1}, {1, 1}, {1, 1}}, {{1, 1}}},
        {{{1, 1}, {1, 1}, {1, 2}}, {{1, 1}, {1, 2}}},
        {{{1, 1}, {2, 2}, {3, 3}}, {{1, 1}, {3, 3}}},
        {{{1, 1}, {3, 3}, {2, 2}}, {{1, 1}, {3, 3}}},
        {{{1, 4}, {0, 4}, {1, 6}}, {{0, 4}, {1, 4}, {1, 6}}},
        {{{6, 8}, {5, 10}, {3, 0}}, {{3, 0}, {6, 8}, {5, 10}}},
        {{{7, 3}, {0, 2}, {8, 9}}, {{0, 2}, {7, 3}, {8, 9}}},
        {{{5, 10}, {4, 7}, {10, 1}}, {{10, 1}, {5, 10}, {4, 7}}},
        {{{10, 8}, {9, 6}, {5, 10}, {2, 0}}, {{2, 0}, {9, 6}, {10, 8}, {5, 10}}},
        {{{10, 8}, {9, 6}, {5, 10}, {5, 10}}, {{9, 6}, {10, 8}, {5, 10}}},
        {{{1, 1}, {2, 2}, {3, 3}, {4, 4}}, {{1, 1}, {4, 4}}},
        {{{1, 1}, {2, 2}, {3, 3}, {2, 4}}, {{1, 1}, {3, 3}, {2, 4}}},
        {{{2, 3}, {1, 6}, {7, 10}, {3, 2}}, {{3, 2}, {7, 10}, {1, 6}, {2, 3}}},
        {{{0, 2}, {4, 4}, {7, 5}, {1, 5}}, {{0, 2}, {7, 5}, {1, 5}}},
        {{{4, 4}, {10, 4}, {6, 9}, {0, 4}}, {{0, 4}, {10, 4}, {6, 9}}},
        {{{4, 9}, {4, 7}, {1, 0}, {6, 6}}, {{1, 0}, {6, 6}, {4, 9}}},
        {{{9, 10}, {6, 7}, {1, 10}, {6, 5}}, {{6, 5}, {9, 10}, {1, 10}}},
        {{{9, 5}, {5, 8}, {0, 2}, {4, 9}}, {{0, 2}, {9, 5}, {4, 9}}},
        {{{4, 9}, {7, 8}, {4, 10}, {2, 5}}, {{2, 5}, {7, 8}, {4, 10}}},
        {{{0, 9}, {6, 0}, {2, 8}, {10, 8}}, {{6, 0}, {10, 8}, {0, 9}}},
        {{{3, 3}, {7, 7}, {10, 3}, {6, 4}}, {{3, 3}, {10, 3}, {7, 7}}},
        {{{2, 0}, {0, 4}, {9, 5}, {10, 4}}, {{2, 0}, {10, 4}, {9, 5}, {0, 4}}},
        {{{0, 6}, {10, 7}, {10, 4}, {9, 0}}, {{9, 0}, {10, 4}, {10, 7}, {0, 6}}},
        {{{2, 3}, {9, 4}, {6, 0}, {2, 8}}, {{6, 0}, {9, 4}, {2, 8}, {2, 3}}},
        {{{3, 4}, {4, 5}, {2, 1}, {2, 5}, {7, 6}}, {{2, 1}, {7, 6}, {2, 5}}},
        {{{0, 7}, {5, 1}, {7, 9}, {9, 1}, {9, 8}}, {{5, 1}, {9, 1}, {9, 8}, {7, 9}, {0, 7}}},
        {{{3, 1}, {10, 6}, {8, 3}, {0, 2}, {8, 7}}, {{3, 1}, {8, 3}, {10, 6}, {8, 7}, {0, 2}}},
        {{{8, 2}, {3, 2}, {9, 8}, {0, 0}, {10, 4}}, {{0, 0}, {8, 2}, {10, 4}, {9, 8}}},
        {{{10, 2}, {7, 2}, {8, 4}, {6, 2}, {7, 3}}, {{6, 2}, {10, 2}, {8, 4}}},
        {{{2, 7}, {8, 3}, {7, 4}, {10, 0}, {1, 1}}, {{10, 0}, {8, 3}, {7, 4}, {2, 7}, {1, 1}}},
        {{{9, 6}, {8, 7}, {6, 7}, {5, 8}, {8, 2}}, {{8, 2}, {9, 6}, {8, 7}, {5, 8}}},
        {{{4, 5}, {1, 2}, {10, 0}, {3, 10}, {4, 6}}, {{10, 0}, {3, 10}, {1, 2}}},
        {{{3, 0}, {6, 4}, {7, 9}, {9, 8}, {2, 8}}, {{3, 0}, {9, 8}, {7, 9}, {2, 8}}},
        {{{9, 0}, {6, 8}, {8, 7}, {5, 8}, {0, 6}}, {{9, 0}, {8, 7}, {6, 8}, {5, 8}, {0, 6}}},
        {{{5, 4}, {6, 1}, {10, 5}, {1, 2}, {0, 6}, {9, 6}, {2, 5}, {1, 9}, {6, 1}, {10, 8}},
         {{6, 1}, {10, 5}, {10, 8}, {1, 9}, {0, 6}, {1, 2}}},
        {{{2, 5}, {6, 4}, {4, 1}, {6, 3}, {10, 8}, {5, 10}, {9, 6}, {7, 0}, {2, 0}, {10, 6}},
         {{2, 0}, {7, 0}, {10, 6}, {10, 8}, {5, 10}, {2, 5}}},
        {{{4, 4}, {3, 6}, {7, 8}, {0, 5}, {6, 9}, {9, 5}, {3, 4}, {7, 6}, {5, 8}, {0, 2}},
         {{0, 2}, {9, 5}, {7, 8}, {6, 9}, {0, 5}}},
        {{{2, 4}, {2, 6}, {7, 3}, {10, 8}, {7, 8}, {8, 9}, {2, 7}, {8, 7}, {2, 0}, {3, 2}},
         {{2, 0}, {7, 3}, {10, 8}, {8, 9}, {2, 7}}},
        {{{2, 2}, {9, 1}, {5, 9}, {9, 9}, {8, 3}, {9, 4}, {5, 1}, {0, 5}, {4, 2}, {2, 2}},
         {{5, 1}, {9, 1}, {9, 9}, {5, 9}, {0, 5}, {2, 2}}},
        {{{0, 2}, {9, 2}, {9, 1}, {10, 5}, {3, 8}, {1, 3}, {6, 3}, {2, 7}, {1, 2}, {3, 10}},
         {{9, 1}, {10, 5}, {3, 10}, {0, 2}}},
        {{{10, 3}, {1, 7}, {5, 7}, {7, 6}, {2, 3}, {5, 8}, {8, 5}, {1, 10}, {10, 7}, {2, 3}},
         {{2, 3}, {10, 3}, {10, 7}, {1, 10}, {1, 7}}},
        {{{5, 8}, {10, 10}, {10, 2}, {10, 10}, {6, 3}, {4, 1}, {0, 0}, {6, 7}, {7, 1}, {9, 7}},
         {{0, 0}, {7, 1}, {10, 2}, {10, 10}, {5, 8}}},
        {{{6, 9}, {10, 6}, {3, 6}, {4, 8}, {0, 4}, {3, 6}, {2, 6}, {6, 2}, {9, 9}, {0, 3}},
         {{6, 2}, {10, 6}, {9, 9}, {6, 9}, {4, 8}, {0, 4}, {0, 3}}},
        {{{31, 9}, {25, -86}, {-38, -62}, {-57, -36}, {-76, -5}, {-39, -94}, {-32, 50}, {57, 98}, {-22, -99}, {17, 75}},
         {{-22, -99}, {25, -86}, {57, 98}, {-32, 50}, {-76, -5}, {-39, -94}}},
        {{{-22, 19}, {23, -16}, {71, 85}, {-66, -7}, {80, 58}, {-78, 62}, {1, -16}, {61, -62}, {88, 8}, {17, -41}},
         {{61, -62}, {88, 8}, {80, 58}, {71, 85}, {-78, 62}, {-66, -7}}},
        {{{-69, -97}, {84, 26}, {-34, -98}, {-91, 5}, {-17, -70}, {-3, -55}, {-55, -33}, {-1, -18}, {50, 27},
          {-16, -72}},
         {{-34, -98}, {84, 26}, {50, 27}, {-91, 5}, {-69, -97}}},
        {{{-57, -89}, {-67, 82}, {-76, -5}, {10, 35}, {60, 16}, {-31, -28}, {-91, -49}, {-54, -40}, {63, -89},
          {23, -11}},
         {{-57, -89}, {63, -89}, {60, 16}, {-67, 82}, {-91, -49}}},
        {{{-80, -35}, {35, 15}, {-46, 100}, {25, -44}, {-99, 60}, {40, -82}, {54, -91}, {80, 81}, {45, 68}, {84, -57},
          {64, -83}, {-3, -92}, {-21, -89}, {-25, 66}, {91, -38}, {28, -14}, {-18, -55}, {58, -62}, {57, -96}, {-21, 7},
          {-37, -27}, {-57, 77}, {-2, -96}, {26, -18}, {46, 23}, {33, 29}, {-68, -63}, {-24, 56}, {-74, 42}, {34, -55},
          {63, -58}, {-99, 41}, {-37, -15}, {1, -67}, {-79, 31}, {77, 4}, {77, 95}, {34, 4}, {18, 90}, {-93, -39},
          {-77, -91}, {-97, -63}, {22, 20}, {44, 16}, {97, 71}, {62, 4}, {57, -12}, {81, -21}, {-72, 38}, {23, -66},
          {76, -40}, {56, -44}, {27, 37}, {-49, 27}, {10, 53}, {41, 4}, {59, 62}, {96, 18}, {-97, -76}, {-86, 27},
          {61, 95}, {-38, 4}, {62, 71}, {45, -46}, {-12, 89}, {13, -39}, {91, -35}, {79, -23}, {98, 41}, {99, -1},
          {-60, 28}, {-49, -48}, {63, 69}, {-29, 43}, {97, -74}, {3, -12}, {67, 58}, {7, -77}, {26, -53}, {58, -81},
          {88, -93}, {-64, -27}, {-35, 23}, {-7, 20}, {-75, 34}, {-57, 27}, {69, 6}, {81, 56}, {-56, -90}, {-79, 79},
          {100, -10}, {36, -31}, {50, 27}, {88, 53}, {33, 31}, {87, 44}, {-3, -6}, {73, -47}, {-61, 72}, {-96, 26}},
         {{-2, -96}, {57, -96}, {88, -93}, {97, -74}, {100, -10}, {97, 71}, {77, 95}, {-46, 100}, {-79, 79}, {-99, 60},
          {-99, 41}, {-97, -76}, {-77, -91}}},
        {{{-60, 90}, {-9, -1}, {89, 26}, {-63, 97}, {9, -12}, {-76, 38}, {62, -96}, {-74, 67}, {-44, 33}, {91, -18},
          {81, -88}, {-32, -80}, {-57, -24}, {18, 70}, {-56, 33}, {-15, -34}, {84, -42}, {-45, 22}, {42, -46},
          {56, -60}, {62, -54}, {-41, 68}, {-7, 79}, {33, 52}, {-67, -73}, {79, -99}, {-63, 0}, {55, 79}, {4, -29},
          {4, 51}, {-69, 18}, {58, 63}, {2, 57}, {-61, 17}, {89, -70}, {41, -45}, {37, -99}, {95, -12}, {-49, -9},
          {-61, 86}, {32, 26}, {-93, -83}, {-90, 97}, {51, -73}, {-63, 85}, {-83, 74}, {97, 83}, {-7, 39}, {-100, -5},
          {76, 29}, {12, -93}, {-4, 1}, {35, -27}, {-51, 90}, {-84, 82}, {-13, 92}, {35, 21}, {-92, -49}, {-31, 51},
          {-59, 86}, {25, 31}, {-56, -38}, {-1, -25}, {92, 79}, {42, -57}, {-16, 94}, {-16, 86}, {-54, -69}, {-26, -10},
          {-75, 58}, {19, -74}, {-77, -15}, {78, 26}, {-71, 68}, {8, 10}, {73, 94}, {-31, 44}, {50, -64}, {-13, -43},
          {-45, 47}, {7, 41}, {5, -15}, {-15, 92}, {62, -88}, {-57, 36}, {-23, 81}, {76, 76}, {-97, -21}, {-63, -26},
          {0, -3}, {96, -96}, {-33, 51}, {4, -68}, {-70, 45}, {-27, 20}, {-83, -13}, {99, -9}, {-20, 81}, {-8, -51},
          {-18, -69}},
         {{37, -99}, {79, -99}, {96, -96}, {99, -9}, {97, 83}, {73, 94}, {-63, 97}, {-90, 97}, {-100, -5}, {-93, -83}}},
        {{{-28, 41}, {31, -33}, {17, 21}, {59, 43}, {59, -32}, {21, -31}, {3, -28}, {89, -65}, {91, 87}, {-5, -57},
          {2, 95}, {-47, -29}, {32, 74}, {-86, 7}, {26, 14}, {-1, -12}, {80, -26}, {19, 51}, {-13, -12}, {18, -80},
          {-65, -82}, {1, -9}, {-13, -8}, {73, 59}, {-24, -94}, {54, 6}, {48, 67}, {86, -100}, {-7, 73}, {20, 10},
          {36, -16}, {10, -26}, {95, 19}, {68, 70}, {-37, -6}, {-37, -60}, {58, 20}, {94, -54}, {99, -72}, {72, -47},
          {29, -34}, {46, -3}, {-22, 33}, {-69, 35}, {-22, 26}, {55, -32}, {88, 50}, {-96, -61}, {-22, 1}, {-86, -35},
          {-75, -5}, {-20, 83}, {-27, 20}, {5, 41}, {91, -42}, {2, -82}, {-83, 35}, {-63, -44}, {1, 53}, {46, 27},
          {-84, -33}, {-77, -24}, {-23, -98}, {-41, -90}, {-73, 90}, {24, -40}, {-43, 23}, {-4, 100}, {0, -32},
          {32, 19}, {79, -91}, {52, 30}, {8, 31}, {-72, -64}, {-2, -23}, {84, -73}, {85, -36}, {-40, -86}, {21, 53},
          {-67, -22}, {-54, -50}, {-18, -71}, {-100, 24}, {-18, 96}, {-27, 36}, {81, -84}, {-24, 72}, {90, 39},
          {-46, 51}, {72, -68}, {69, -99}, {7, -85}, {40, -51}, {-17, 46}, {54, 45}, {-38, -37}, {-27, -2}, {28, -75},
          {51, 10}, {-59, -26}},
         {{86, -100}, {99, -72}, {95, 19}, {91, 87}, {-4, 100}, {-73, 90}, {-100, 24}, {-96, -61}, {-65, -82},
          {-23, -98}}},
        {{{-28, 41}, {86, -100}, {-96, -61}, {2, -82}}, {{86, -100}, {-28, 41}, {-96, -61}}},
        {{{-70, -13}, {-86, 54}, {82, 21}, {55, 52}, {64, -80}, {76, 39}, {-68, 62}, {-36, 7}, {-94, 8}, {14, -85},
          {1, 34}, {8, -91}, {-24, 32}, {90, -19}, {-66, -17}, {38, 12}, {29, 23}, {56, 11}, {54, 72}, {31, 59},
          {87, -61}, {90, -36}, {-79, -1}, {-74, -59}, {-32, -94}, {-82, -67}, {-17, 38}, {-80, -87}, {66, -56},
          {72, -97}, {12, 17}, {89, 94}, {13, 46}, {-81, -62}, {-78, -72}, {94, -37}, {96, -23}, {88, -17}, {87, -31},
          {86, -40}, {17, 22}, {-16, 91}, {-2, 44}, {-19, 77}, {28, -84}, {46, 57}, {45, -14}, {70, -44}, {70, -36},
          {7, 82}, {-82, -19}, {18, -70}, {-5, 50}, {-99, -63}, {91, -91}, {-50, -17}, {57, -35}, {-85, -28}, {64, 37},
          {46, 91}, {41, 40}, {61, -84}, {-56, 38}, {36, 79}, {35, -16}, {-62, 5}, {-48, 29}, {-3, -99}, {-56, -9},
          {-67, 19}, {-71, 84}, {39, 54}, {-95, 16}, {13, 30}, {-79, 19}, {24, 50}, {-6, -50}, {-2, -17}, {-71, 67},
          {98, -83}, {44, 78}, {-29, -77}, {-31, 2}, {-98, -12}, {26, -64}, {-80, 50}, {-33, -44}, {-77, 5}, {38, -100},
          {16, -95}, {36, -70}, {-35, 22}, {35, 22}, {69, -70}, {-43, 49}, {-35, -62}, {23, -82}, {62, -80}, {-19, -44},
          {94, -71}},
         {{38, -100}, {72, -97}, {91, -91}, {98, -83}, {96, -23}, {89, 94}, {-16, 91}, {-71, 84}, {-86, 54}, {-95, 16},
          {-98, -12}, {-99, -63}, {-80, -87}, {-3, -99}}},
        {{{40, -15}, {2, -73}, {-93, 25}, {-87, 80}, {28, -91}, {21, -28}, {-70, -78}, {43, 54}, {76, -57}, {-2, -82},
          {48, -28}, {-79, 40}, {-74, -26}, {-90, 27}, {77, -84}, {77, -93}, {-45, 93}, {92, 31}, {-53, -38}, {-35, 23},
          {11, -41}, {-93, 11}, {49, 31}, {46, -51}, {-56, 89}, {-20, -42}, {98, -17}, {38, -67}, {-85, 89}, {-27, 88},
          {18, -53}, {-87, -26}, {-57, 78}, {76, 37}, {34, 5}, {-18, 63}, {-54, 79}, {77, 73}, {-54, -49}, {54, 51},
          {-68, 31}, {-25, -50}, {-2, -90}, {-57, -46}, {-40, -91}, {8, 99}, {-90, 83}, {-80, 32}, {-74, -38},
          {-25, 15}, {-100, 32}, {15, 28}, {76, -52}, {-60, 62}, {54, -27}, {-63, 46}, {52, -100}, {41, 88}, {-31, -52},
          {24, -13}, {86, 63}, {40, 39}, {-57, -70}, {49, -74}, {16, 21}, {-38, 90}, {-7, 7}, {-17, -68}, {15, -44},
          {63, 95}, {-69, 63}, {-86, -87}, {81, 19}, {67, 44}, {-84, -95}, {14, -18}, {-2, 93}, {-9, -68}, {-95, -12},
          {65, -91}, {-15, -94}, {-71, 39}, {76, 77}, {100, -22}, {-7, 79}, {-1, -88}, {-27, 2}, {31, -86}, {6, -19},
          {-94, 2}, {-14, -4}, {23, -95}, {-17, -38}, {43, -91}, {-6, -49}, {14, -12}, {80, -22}, {80, -71}, {-91, -94},
          {-70, 87}},
         {{52, -100}, {77, -93}, {100, -22}, {92, 31}, {86, 63}, {76, 77}, {63, 95}, {8, 99}, {-85, 89}, {-90, 83},
          {-100, 32}, {-91, -94}, {-84, -95}}},
        {{{-8, -17}, {26, -96}, {-51, 20}, {100, 87}, {-78, 40}, {73, -58}, {-14, 25}, {-84, -87}, {-48, -92}, {0, 11},
          {-90, -75}, {33, -1}, {-94, 69}, {22, -11}, {-23, 46}, {84, 94}, {87, 8}, {16, 54}, {-16, -22}, {-66, -6},
          {-73, -58}, {51, 64}, {-99, -77}, {-72, -27}, {-33, 88}, {-96, -12}, {-30, 57}, {-38, 52}, {-74, -43},
          {-28, -44}, {-72, -42}, {-21, -64}, {84, 24}, {14, 67}, {-64, 70}, {35, -72}, {-89, 95}, {-37, -72},
          {-23, 72}, {-80, -66}, {-96, -12}, {-99, 70}, {-46, 22}, {19, 99}, {-25, 3}, {58, -93}, {-41, 25}, {97, 23},
          {2, 58}, {-10, 19}, {49, 64}, {-99, -21}, {-41, -14}, {38, 10}, {76, -52}, {0, -72}, {69, 10}, {-59, -85},
          {88, -10}, {-78, -20}, {63, -64}, {-51, 35}, {-73, 49}, {-42, 63}, {-28, 3}, {-52, 74}, {85, 62}, {-22, -87},
          {-51, -64}, {-4, 26}, {-78, -90}, {-21, 87}, {-21, 17}, {46, -33}, {82, -90}, {-5, -82}, {46, 33}, {60, -14},
          {35, -20}, {-65, -77}, {75, 33}, {-52, -46}, {31, -54}, {71, -61}, {-21, -82}, {-53, 82}, {53, 43},
          {-15, -82}, {57, 31}, {-50, 39}, {49, -29}, {8, 85}, {98, -86}, {-35, 0}, {81, -94}, {-24, 54}, {33, -13},
          {58, 98}, {-57, 40}, {-30, -84}},
         {{26, -96}, {81, -94}, {98, -86}, {100, 87}, {84, 94}, {58, 98}, {19, 99}, {-89, 95}, {-99, 70}, {-99, -77},
          {-84, -87}, {-78, -90}, {-48, -92}}},
        {{{-36, -14}, {-7, -33}, {-59, -25}, {-49, -1}, {58, -16}, {-92, -81}, {31, -59}, {8, -23}, {-66, 33}, {7, -42},
          {17, -65}, {76, -92}, {-83, -60}, {32, -42}, {20, -68}, {-54, -82}, {-4, 68}, {81, 48}, {-68, 38}, {-93, -19},
          {53, 22}, {-49, 85}, {-71, -31}, {35, -39}, {33, 96}, {-11, 53}, {-70, -17}, {56, 26}, {40, -81}, {28, 79},
          {-79, 32}, {-76, -36}, {11, -61}, {1, 70}, {56, -69}, {86, 30}, {39, -25}, {27, -8}, {69, -37}, {71, 43},
          {-77, 72}, {-23, -62}, {58, -38}, {22, -22}, {80, 32}, {6, 65}, {-29, 33}, {-76, 42}, {4, 76}, {66, 85},
          {-63, -60}, {34, 19}, {-88, -1}, {86, -66}, {-41, -25}, {61, -85}, {-26, -82}, {-81, 7}, {-47, 94},
          {-88, 100}, {-80, -19}, {-23, 89}, {77, -20}, {-35, 32}, {-11, 5}, {9, 18}, {-70, 3}, {-98, 10}, {-51, 47},
          {84, -80}, {-54, 93}, {66, 25}, {71, -89}, {63, -50}, {42, 13}, {87, -16}, {-63, -13}, {12, -74}, {46, -5},
          {-14, -86}, {68, -25}, {-99, -28}, {19, 62}, {-62, 60}, {7, 70}, {-97, -69}, {54, -28}, {30, -39}, {-78, 73},
          {-48, -9}, {21, 59}, {5, -75}, {-39, 38}, {47, -40}, {6, 49}, {-63, 6}, {58, 44}, {87, -86}, {78, -91},
          {88, -88}},
         {{76, -92}, {88, -88}, {87, -16}, {86, 30}, {81, 48}, {66, 85}, {33, 96}, {-88, 100}, {-98, 10}, {-99, -28},
          {-97, -69}, {-92, -81}}},
        {{{-23, -60}, {-70, 59}, {-53, -61}, {89, 54}, {26, -33}, {-53, 62}, {78, -2}, {-81, 38}, {-39, 88}, {50, 32},
          {-1, 79}, {-8, 6}, {-76, 42}, {-52, -50}, {21, 2}, {92, 66}, {-70, -66}, {22, -48}, {49, 34}, {85, -10},
          {-84, -42}, {-73, -8}, {55, -27}, {79, -18}, {-100, 36}, {55, -18}, {-20, 1}, {-91, -39}, {39, 58},
          {-15, -48}, {26, -14}, {36, 22}, {-75, -14}, {-83, 15}, {34, 86}, {-65, -2}, {47, -28}, {16, -26}, {43, 35},
          {78, 59}, {-92, -22}, {-53, -95}, {-69, -89}, {-6, -6}, {-8, 59}, {-77, 84}, {4, -29}, {9, -73}, {67, -34},
          {84, -16}, {87, -17}, {-33, 45}, {-8, 89}, {1, 15}, {75, -3}, {74, -34}, {-9, -11}, {4, -37}, {-79, -38},
          {79, -78}, {-53, -51}, {-20, 87}, {54, -9}, {-41, 50}, {-69, -44}, {36, 54}, {89, 17}, {95, -46}, {85, 36},
          {65, -2}, {-43, -48}, {82, 24}, {51, -41}, {10, -29}, {37, 32}, {-59, -39}, {-15, 13}, {27, 5}, {53, -17},
          {-23, -41}, {71, -2}, {-89, 45}, {-6, -59}, {-18, 96}, {20, -64}, {-77, 10}, {96, 96}, {43, 31}, {-65, 76},
          {66, -90}, {73, 37}, {36, 67}, {-33, -93}, {-43, -15}, {-91, -41}, {-38, 39}, {-88, -3}, {17, 22}, {-65, 6},
          {-95, 52}},
         {{-53, -95}, {66, -90}, {79, -78}, {95, -46}, {96, 96}, {-18, 96}, {-77, 84}, {-95, 52}, {-100, 36},
          {-91, -41}, {-69, -89}}},
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          {69, 69}, {99, -32}, {36, 99}, {81, -99}, {-19, -16}, {30, -31}, {98, -72}, {-12, 88}, {-53, 43}, {14, 4},
          {59, 24}, {-56, -57}, {-48, 12}, {-7, -55}, {80, -55}, {-8, -76}, {-90, 11}, {-47, 43}, {32, 54}, {95, 37},
          {-59, 49}, {88, 73}, {56, -5}, {-80, -60}, {-36, -95}, {-8, -4}, {-69, -36}, {63, 2}, {-56, 99}, {76, 89},
          {-75, -16}, {34, -43}, {-36, 65}, {68, 78}, {-19, -70}, {24, 47}, {-90, 94}, {-47, 9}, {-45, -69}, {100, 2},
          {-55, 33}, {5, -87}, {-34, -70}, {92, 73}, {75, -12}, {8, -42}, {18, 76}, {-82, 35}, {24, 91}, {-87, 79},
          {29, 94}},
         {{-75, -99}, {81, -99}, {98, -72}, {100, 2}, {97, 81}, {76, 89}, {36, 99}, {-50, 100}, {-90, 94}, {-96, 44},
          {-99, -46}, {-85, -83}}},
        {{{22, -23}, {61, -14}, {-59, 93}, {-53, -23}, {69, -69}, {8, -78}, {18, -41}, {51, 9}, {-26, 83}, {48, -43},
          {-99, 50}, {13, 24}, {-8, -81}, {-96, -47}, {-47, 65}, {-13, -50}, {-29, 89}, {35, 100}, {19, -21}, {-28, 63},
          {-76, 58}, {50, 4}, {21, -22}, {65, -70}, {52, -62}, {-70, -54}, {-97, -76}, {-55, -66}, {-56, 29}, {6, -50},
          {-63, -30}, {-46, -78}, {34, 87}, {-74, 8}, {39, 64}, {-100, 57}, {-9, -68}, {-51, 55}, {16, -66}, {-24, 96},
          {-17, 42}, {-90, -54}, {54, 47}, {-68, 86}, {-95, -4}, {3, 10}, {84, 9}, {-35, 7}, {-27, -48}, {67, -74},
          {88, -56}, {5, -68}, {-82, 84}, {27, -62}, {-88, 13}, {-77, 86}, {-8, 16}, {-82, -51}, {-91, -3}, {98, 58},
          {88, 29}, {59, 78}, {36, -17}, {40, -79}, {-93, -49}, {-38, 55}, {53, 19}, {39, 39}, {26, 100}, {100, 94},
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          {-62, 37}, {-93, -100}, {-1, 51}, {42, -87}, {73, -49}, {75, -34}, {-72, 5}, {63, -91}, {49, 73}, {-8, 22},
          {-35, -82}, {-75, 4}, {42, 25}, {33, 76}, {-13, -41}, {-48, 66}, {-39, -98}, {80, 94}, {-63, 84}, {-32, -63}},
         {{-93, -100}, {-39, -98}, {63, -91}, {81, -85}, {88, -56}, {98, 58}, {100, 94}, {35, 100}, {26, 100},
          {-24, 96}, {-59, 93}, {-77, 86}, {-82, 84}, {-100, 57}, {-97, -76}}},
        {{{-78, 10}, {39, 57}, {-90, 64}, {26, 5}, {59, -53}, {66, 18}, {-17, -30}, {46, 83}, {69, -94}, {-13, -43},
          {-16, -35}, {-14, -59}, {94, -74}, {-59, -92}, {29, -7}, {-85, -4}, {-7, -82}, {55, 66}, {44, -52}, {-98, 34},
          {67, 61}, {-70, 66}, {-64, -71}, {36, 44}, {25, -97}, {31, 19}, {-43, 75}, {6, -40}, {-58, 90}, {-96, 64},
          {-62, -83}, {-52, 59}, {-85, -94}, {-59, -73}, {28, -58}, {71, -39}, {-7, -93}, {18, 7}, {-92, -15}, {61, 56},
          {5, -25}, {-37, 100}, {36, -93}, {95, -85}, {-17, 37}, {94, -62}, {48, -11}, {50, -21}, {-51, 27}, {96, -81},
          {-86, -36}, {-91, -67}, {41, 86}, {49, -23}, {72, -3}, {-86, 83}, {74, 94}, {-94, 74}, {89, 1}, {68, -26},
          {-8, 53}, {-70, -79}, {-38, 42}, {13, -28}, {73, -70}, {73, 47}, {-6, -25}, {84, -22}, {-23, 84}, {-76, 12},
          {37, -32}, {55, -68}, {15, -81}, {-55, 31}, {-47, -55}, {-30, 14}, {81, 33}, {81, 6}, {-70, 69}, {69, 41},
          {89, -88}, {59, 25}, {-14, 75}, {1, 91}, {-17, 63}, {-51, -19}, {87, 3}, {-76, 53}, {-55, 19}, {-25, -48},
          {50, -44}, {91, 61}, {-82, -48}, {12, 40}, {-43, -64}, {22, 52}, {-93, -76}, {-87, -57}, {57, -20},
          {-66, -97}},
         {{-66, -97}, {25, -97}, {69, -94}, {89, -88}, {95, -85}, {96, -81}, {91, 61}, {74, 94}, {-37, 100}, {-86, 83},
          {-94, 74}, {-96, 64}, {-98, 34}, {-93, -76}, {-85, -94}}},
        {{{79, 21}, {17, -60}, {100, 100}, {-81, -37}, {88, -57}, {-1, 42}, {-38, 81}, {-27, 59}, {-26, -70}, {67, -34},
          {-51, 92}, {-33, 74}, {-4, -82}, {-28, 44}, {94, -50}, {-98, 61}, {98, -48}, {-10, 60}, {-91, -45}, {6, 48},
          {46, 52}, {-26, 59}, {-74, 86}, {14, 52}, {-63, 54}, {18, 57}, {69, 2}, {36, -41}, {54, -86}, {75, 14},
          {26, 37}, {74, -89}, {7, 19}, {-54, 1}, {3, 3}, {-21, -66}, {49, -42}, {-94, -41}, {70, 88}, {-66, 34},
          {29, 10}, {-100, -76}, {51, -7}, {-4, -35}, {-80, -83}, {64, -9}, {-74, -6}, {-10, -82}, {46, 54}, {9, -78},
          {-23, 13}, {-48, 5}, {34, -29}, {-98, 86}, {10, 88}, {-14, 55}, {-4, 14}, {-58, 22}, {-35, -13}, {24, -22},
          {0, -52}, {-51, 47}, {-16, 47}, {-57, 54}, {47, 74}, {-54, -58}, {-55, -29}, {13, 48}, {-15, 84}, {8, 84},
          {68, 16}, {18, 7}, {-68, 59}, {-41, -87}, {97, -75}, {-80, -32}, {68, 73}, {-78, -89}, {-57, 49}, {-30, 31},
          {-14, -15}, {91, -7}, {-81, 88}, {-74, 23}, {34, -19}, {-44, 49}, {-99, -46}, {-63, -21}, {-64, -56},
          {22, 95}, {3, 29}, {48, 62}, {-55, 64}, {55, 88}, {27, -92}, {-48, 83}, {-80, -79}, {-61, 60}, {-42, -28},
          {-81, -81}},
         {{27, -92}, {74, -89}, {97, -75}, {98, -48}, {100, 100}, {-51, 92}, {-98, 86}, {-100, -76}, {-78, -89}}},
        {{{65, -81}, {-13, -83}, {21, 12}, {-66, 35}, {87, -31}, {51, -68}, {54, -6}, {-70, -86}, {-5, 29}, {8, -37},
          {53, -76}, {-78, 16}, {17, 59}, {5, 93}, {-84, 9}, {-11, 75}, {-32, 46}, {-38, 40}, {81, 59}, {98, 62},
          {-68, 37}, {93, -59}, {5, -87}, {91, -42}, {82, 52}, {-74, -62}, {77, -98}, {91, -47}, {-64, -42}, {-37, -9},
          {-83, 75}, {45, 68}, {0, 93}, {-58, -90}, {-23, 28}, {-26, 53}, {75, -59}, {97, 66}, {-35, 31}, {14, -92},
          {-52, -62}, {-99, -83}, {-37, -59}, {91, 44}, {-69, 92}, {96, 79}, {-31, 18}, {64, 98}, {-8, -36}, {93, -11},
          {55, 91}, {-86, -62}, {26, -65}, {22, 80}, {28, -31}, {33, 82}, {-36, -12}, {4, 4}, {30, -64}, {-89, -66},
          {-70, 19}, {-37, 78}, {-10, -83}, {-42, -87}, {-84, -43}, {-97, -27}, {81, 2}, {-82, -13}, {-84, 77},
          {83, 55}, {94, 71}, {88, -72}, {-20, 60}, {-31, -28}, {-51, 22}, {-12, -41}, {17, -76}, {59, -50}, {83, 38},
          {-78, -68}, {-48, 17}, {62, 16}, {-77, 77}, {61, 20}, {9, 98}, {87, -95}, {71, -23}, {-69, 72}, {-100, -40},
          {26, -63}, {-26, -56}, {20, 20}, {51, 7}, {-35, -25}, {-15, 65}, {-8, -7}, {7, -2}, {9, -44}, {-93, -37},
          {4, -25}},
         {{77, -98}, {87, -95}, {93, -59}, {98, 62}, {96, 79}, {64, 98}, {9, 98}, {-69, 92}, {-84, 77}, {-100, -40},
          {-99, -83}, {-58, -90}}},
        {{{83, -62}, {-35, 43}, {59, -77}, {-35, 19}, {-2, 5}, {39, -82}, {-81, -84}, {22, -37}, {86, -67}, {-24, -67},
          {-36, 78}, {-41, 69}, {32, 56}, {-21, 19}, {-30, 25}, {-56, -34}, {-5, 83}, {-12, 68}, {-52, -9}, {99, 16},
          {74, -26}, {-23, 15}, {91, 88}, {33, 7}, {-76, 90}, {-98, 27}, {23, 65}, {60, -51}, {97, 27}, {-100, -52},
          {25, 38}, {97, -35}, {-21, 74}, {-2, -84}, {87, -21}, {90, 2}, {46, -97}, {54, -25}, {0, 4}, {70, 15},
          {85, -76}, {-43, -39}, {27, 62}, {71, 99}, {-15, 35}, {31, 82}, {-51, -2}, {96, 69}, {-74, -22}, {44, -80},
          {-61, -28}, {34, -65}, {-15, -74}, {39, -52}, {99, -9}, {69, 24}, {51, 93}, {24, 14}, {-53, 7}, {60, -37},
          {-31, 39}, {23, 36}, {-89, -78}, {-66, 62}, {1, -99}, {-73, -97}, {34, -73}, {-57, -25}, {28, 74}, {-90, -24},
          {3, -45}, {-32, -26}, {52, -37}, {30, 53}, {37, 62}, {-65, 10}, {-55, -84}, {76, -26}, {-82, -84}, {-19, -51},
          {37, -20}, {-85, 34}, {-98, -53}, {-21, -40}, {-67, 5}, {-71, -72}, {-72, -23}, {0, 27}, {-65, -45},
          {-94, -57}, {-78, 33}, {-46, 41}, {-97, 5}, {0, -40}, {19, -5}, {63, 54}, {-54, 84}, {-81, -32}, {-63, -31},
          {-30, -64}},
         {{1, -99}, {46, -97}, {85, -76}, {97, -35}, {99, -9}, {99, 16}, {96, 69}, {91, 88}, {71, 99}, {-76, 90},
          {-98, 27}, {-100, -52}, {-89, -78}, {-73, -97}}},
        {{{-55, 81}, {-42, 84}, {76, -90}, {-66, -79}, {-49, 6}, {70, 4}, {81, -25}, {58, 65}, {61, 92}, {-4, 49},
          {95, 12}, {37, 84}, {86, 55}, {-100, -63}, {61, 81}, {-43, -33}, {-70, -34}, {-78, 7}, {83, 2}, {-14, 34},
          {90, -85}, {1, 72}, {-40, 34}, {78, -9}, {-98, 51}, {-37, -64}, {22, 70}, {-64, 67}, {87, 32}, {67, 49},
          {-91, 60}, {-81, -32}, {-2, 46}, {33, 98}, {-67, 81}, {13, -10}, {-8, 56}, {-93, -96}, {81, -14}, {-20, -46},
          {-30, 99}, {50, 80}, {21, 96}, {-9, 59}, {24, -72}, {-45, 36}, {19, 73}, {76, -14}, {-37, -10}, {-99, -54},
          {63, 38}, {72, 31}, {12, 71}, {-23, 48}, {86, 39}, {48, -25}, {-26, -31}, {91, 54}, {-64, 84}, {-13, -60},
          {-71, -88}, {13, 58}, {48, -69}, {-69, 96}, {-93, 12}, {-75, -37}, {29, 60}, {-64, 13}, {70, 17}, {-38, 60},
          {85, 79}, {-69, -42}, {-78, -10}, {96, -32}, {33, -33}, {-48, -51}, {-90, -44}, {39, -80}, {-87, 94},
          {-49, 23}, {87, -39}, {-31, 28}, {58, 71}, {-77, -87}, {-87, 51}, {98, 70}, {94, 72}, {35, 15}, {-17, 32},
          {72, -62}, {-57, -39}, {14, -32}, {43, 60}, {79, -22}, {-98, -39}, {-98, 66}, {-21, 70}, {-35, -18},
          {-70, -11}, {87, 95}},
         {{-93, -96}, {76, -90}, {90, -85}, {96, -32}, {98, 70}, {87, 95}, {33, 98}, {-30, 99}, {-69, 96}, {-87, 94},
          {-98, 66}, {-100, -63}}},
        {{{21, -75}, {-74, -59}, {48, -55}, {-8, -52}, {-70, -80}, {52, -96}, {3, 61}, {51, -50}, {96, -27}, {-45, -49},
          {-86, -89}, {-97, 34}, {-76, -37}, {36, 51}, {96, -66}, {74, 11}, {71, 1}, {46, 63}, {54, -44}, {41, 83},
          {42, -88}, {-71, -30}, {32, -78}, {-82, 47}, {41, -82}, {68, 39}, {-40, 86}, {-97, 44}, {-41, -79}, {-43, 49},
          {-48, -92}, {82, -90}, {-89, -60}, {64, -8}, {22, 10}, {44, 94}, {-38, 69}, {68, 35}, {-22, 76}, {-14, -94},
          {-64, 50}, {51, -49}, {-72, -37}, {73, 5}, {13, -65}, {-16, 33}, {-92, 11}, {99, 98}, {-98, -72}, {-10, 23},
          {97, 79}, {-95, 7}, {63, -36}, {-23, -4}, {-64, 68}, {-34, -25}, {48, 36}, {2, -52}, {-46, 57}, {22, -75},
          {76, 81}, {-60, 21}, {-54, -58}, {-97, -46}, {-98, 92}, {65, -83}, {16, 38}, {5, -40}, {60, 42}, {66, 73},
          {8, 47}, {0, 12}, {96, -22}, {-7, -8}, {17, -93}, {-55, 35}, {4, -61}, {-77, -26}, {-59, -52}, {99, -27},
          {23, 58}, {-20, -96}, {-83, -57}, {-58, -52}, {-73, 51}, {-47, -95}, {51, 51}, {44, -10}, {-14, -35},
          {-53, -92}, {3, -41}, {96, -2}, {-89, 53}, {-58, -82}, {-18, 48}, {27, -42}, {7, 74}, {-5, -85}, {100, 44},
          {40, -72}},
         {{-20, -96}, {52, -96}, {82, -90}, {96, -66}, {99, -27}, {100, 44}, {99, 98}, {-98, 92}, {-98, -72},
          {-86, -89}, {-47, -95}}},
        {{{-15, 8}, {-58, -57}, {66, -70}, {-71, 19}, {96, -48}, {-78, 49}, {65, -2}, {27, 73}, {-34, 0}, {0, 5},
          {1, 19}, {-48, 28}, {43, -100}, {-99, 57}, {-64, 21}, {-96, -82}, {-10, 37}, {-78, -43}, {-61, 16}, {59, -44},
          {-80, 67}, {62, -14}, {-40, 71}, {-38, 17}, {80, 75}, {-98, 43}, {-3, 65}, {-75, -44}, {87, -4}, {91, -66},
          {28, 89}, {99, -56}, {-42, 73}, {58, -81}, {-54, 31}, {48, -15}, {-83, -81}, {31, -19}, {-78, -36}, {16, 86},
          {87, 48}, {91, -37}, {-44, -44}, {-98, -6}, {-81, -93}, {6, -33}, {-23, -22}, {-56, 35}, {34, 45}, {64, -57},
          {78, -51}, {49, -49}, {95, -74}, {100, -54}, {-54, -43}, {92, 8}, {31, 49}, {55, 73}, {45, -63}, {-63, 40},
          {26, -49}, {-16, -39}, {65, 41}, {-46, -23}, {93, 8}, {-26, -57}, {77, 28}, {-18, 95}, {-53, -39}, {5, -94},
          {-38, 49}, {25, -42}, {44, 4}, {85, -57}, {-62, -23}, {-2, 63}, {40, 97}, {72, 19}, {-19, 34}, {96, -39},
          {-96, 51}, {-33, 24}, {69, -76}, {-21, 19}, {-96, 95}, {-41, 65}, {46, 16}, {42, -59}, {-4, -43}, {-58, 83},
          {-39, 64}, {-7, -4}, {-67, -71}, {-21, 31}, {58, -58}, {60, -58}, {-32, -51}, {25, 82}, {33, 3}, {-82, 1}},
         {{43, -100}, {95, -74}, {100, -54}, {93, 8}, {87, 48}, {80, 75}, {40, 97}, {-96, 95}, {-99, 57}, {-98, -6},
          {-96, -82}, {-81, -93}}},
        {{{-33, 19}, {48, -90}, {-44, 36}, {73, -7}, {61, -91}, {-27, -86}, {100, 12}, {43, 33}, {43, 53}, {85, -58},
          {-94, 26}, {-65, 47}, {55, 90}, {-98, -69}, {57, 80}, {2, -27}, {-4, -64}, {-58, 72}, {65, 33}, {-53, 95},
          {37, -89}, {-47, -1}, {-85, 63}, {21, -58}, {-84, -86}, {100, -86}, {82, 89}, {-52, 8}, {13, -36}, {-83, -16},
          {-93, -25}, {-12, 57}, {46, -86}, {-49, 45}, {-11, 34}, {3, -25}, {55, 61}, {69, 31}, {11, -69}, {30, 18},
          {-49, -44}, {26, 47}, {-23, 87}, {-78, 69}, {-13, -100}, {41, -98}, {45, 46}, {0, 83}, {24, -49}, {-14, -81},
          {51, -47}, {52, -10}, {2, 9}, {74, -77}, {47, 37}, {-44, 57}, {28, 57}, {82, 73}, {-79, 58}, {77, -47},
          {-67, 13}, {-4, 53}, {39, 27}, {-21, -2}, {35, -78}, {82, -44}, {39, -93}, {52, -19}, {-59, 78}, {-4, -100},
          {-25, -85}, {-70, -93}, {-64, 35}, {-27, -71}, {69, 72}, {90, -82}, {-13, 10}, {-55, 37}, {21, 93}, {82, -49},
          {69, 91}, {-59, 25}, {88, -56}, {31, -91}, {-38, -35}, {-68, 87}, {89, -96}, {28, 78}, {-66, 64}, {-81, 7},
          {84, -45}, {-29, 18}, {1, 19}, {-89, -12}, {4, 18}, {-13, -74}, {53, -28}, {-57, -28}, {-17, -13}, {23, 89}},
         {{-13, -100}, {-4, -100}, {89, -96}, {100, -86}, {100, 12}, {82, 89}, {69, 91}, {21, 93}, {-53, 95}, {-68, 87},
          {-85, 63}, {-94, 26}, {-98, -69}, {-84, -86}, {-70, -93}}},
        {{{70, -64}, {-49, -82}, {-76, 67}, {-12, -28}, {67, -41}, {66, -61}, {-100, 39}, {89, -6}, {-81, 10}, {-24, 9},
          {-30, 75}, {52, 92}, {-38, -65}, {-14, -81}, {-38, 91}, {-69, 97}, {-1, -58}, {34, 46}, {-64, -88}, {96, 82},
          {-62, 56}, {-13, -9}, {-78, 41}, {65, 81}, {42, 82}, {52, 83}, {-85, -24}, {53, 20}, {33, -74}, {96, 48},
          {5, -76}, {36, 64}, {-48, -94}, {33, -25}, {-1, -10}, {-52, 18}, {-98, 99}, {67, 76}, {-82, -23}, {-3, -66},
          {31, 91}, {-14, -100}, {-99, 93}, {50, -91}, {51, 71}, {-88, 46}, {61, -96}, {38, 81}, {89, 17}, {5, -18},
          {-11, 59}, {-45, 61}, {-56, 91}, {-41, 32}, {37, -34}, {25, 89}, {-63, -64}, {-52, -78}, {23, 75}, {54, 83},
          {23, -29}, {57, -4}, {98, 55}, {45, 38}, {20, 28}, {90, -96}, {85, 78}, {23, 51}, {14, 25}, {-22, 65},
          {20, -15}, {66, 73}, {24, 93}, {-67, -24}, {88, 29}, {-37, 71}, {100, -25}, {33, -98}, {-85, 8}, {-54, 67},
          {10, -23}, {-14, -63}, {42, -50}, {-9, -68}, {60, 35}, {-85, -40}, {-43, 58}, {32, -86}, {72, 71}, {-13, 10},
          {-20, 34}, {85, -86}, {73, 23}, {16, -16}, {36, -30}, {-19, -33}, {0, -89}, {96, -59}, {-92, 23}, {66, 52}},
         {{-14, -100}, {90, -96}, {96, -59}, {100, -25}, {98, 55}, {96, 82}, {52, 92}, {-98, 99}, {-99, 93}, {-100, 39},
          {-85, -40}, {-64, -88}, {-48, -94}}},
        {{{-17, -33}, {43, 35}, {95, 56}, {66, 82}, {68, 91}, {16, -13}, {-90, -80}, {76, -19}, {-59, 20}, {8, 100},
          {-57, 19}, {-89, -83}, {-23, -42}, {18, 30}, {71, -35}, {-72, 95}, {31, -49}, {-10, -43}, {-53, 88},
          {55, -38}, {54, 30}, {-12, 16}, {56, -60}, {-28, 43}, {-49, -70}, {-80, 21}, {-25, -2}, {-93, 53}, {-37, 100},
          {-8, 1}, {68, 93}, {-12, -49}, {-85, -36}, {43, -12}, {-99, 82}, {-84, -67}, {96, 67}, {90, 27}, {-34, -33},
          {44, -13}, {31, 7}, {-21, -71}, {-61, 49}, {80, 28}, {93, 23}, {72, 73}, {-100, -9}, {-99, -95}, {16, 93},
          {76, 5}, {-50, 48}, {-83, 62}, {-93, 81}, {-96, 15}, {-58, 71}, {54, -89}, {11, -57}, {60, 10}, {-68, -61},
          {15, -45}, {-54, 52}, {-21, -40}, {-92, -88}, {19, -97}, {-78, -82}, {69, -10}, {94, -56}, {42, -58},
          {-4, 31}, {17, -69}, {-90, -37}, {-100, 33}, {0, 30}, {-18, -93}, {-96, -57}, {60, -65}, {70, 27}, {65, 15},
          {97, 1}, {-2, -84}, {-95, -52}, {-16, 76}, {67, 35}, {32, 30}, {63, 77}, {-96, 97}, {65, -10}, {69, 34},
          {-15, -54}, {63, -15}, {36, -34}, {-67, 99}, {94, 6}, {-51, -3}, {-63, -69}, {54, 81}, {48, -89}, {-8, 86},
          {34, -96}, {44, -5}},
         {{19, -97}, {34, -96}, {54, -89}, {94, -56}, {97, 1}, {96, 67}, {68, 93}, {8, 100}, {-37, 100}, {-67, 99},
          {-96, 97}, {-99, 82}, {-100, 33}, {-100, -9}, {-99, -95}}},
        {{{58, -23}, {-61, 2}, {-88, -13}, {-63, -66}, {31, -81}, {11, -16}, {-49, 75}, {-60, 90}, {-67, -42},
          {88, -69}, {45, -30}, {-58, 76}, {-88, 97}, {-44, -28}, {-9, -39}, {-49, -29}, {50, 7}, {96, -4}, {-29, 30},
          {84, -37}, {-59, 78}, {11, -33}, {-20, -30}, {-27, -53}, {-43, 67}, {36, -65}, {5, 4}, {35, -44}, {5, -39},
          {-64, 13}, {8, -52}, {-4, 78}, {26, 72}, {-1, 25}, {81, -66}, {50, -71}, {25, 90}, {15, 23}, {-53, -58},
          {76, -6}, {63, -54}, {28, -12}, {46, -16}, {-85, 29}, {72, -10}, {64, -5}, {6, 89}, {84, -59}, {-9, 63},
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          {-44, 90}, {-100, 77}, {-99, -93}, {-62, -96}}},
        {{{36, 22}, {94, -5}, {-73, 36}, {70, -78}, {14, -16}, {62, -8}, {23, 26}, {-74, -36}, {77, -95}, {-93, -9},
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         {{-66, -100}, {90, -96}, {94, -5}, {80, 56}, {52, 69}, {-76, 99}, {-85, 89}, {-100, 42}, {-98, -8},
          {-92, -70}}},
        {{{82, -77}, {55, -18}, {-50, -66}, {-73, -54}, {-35, 59}, {84, -13}, {-50, -80}, {24, -10}, {-86, -91},
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          {-72, 71}, {-98, 16}, {-100, 1}, {-98, -54}, {-94, -82}, {-86, -91}}},
        {{{-37, 41}, {67, 66}, {62, -77}, {-18, -48}, {-8, 52}, {-10, -99}, {-70, -52}, {33, 4}, {92, -70}, {77, 34},
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          {-70, 34}, {-61, -43}, {-74, -47}, {-5, -50}, {-48, -45}, {-39, 84}, {-26, 7}, {-83, 26}, {-49, -86},
          {66, 24}, {-7, -20}, {-99, 96}, {95, -27}, {-32, 63}, {6, 76}, {28, 91}, {-25, 36}, {24, -28}, {88, -74},
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          {-75, 56}, {19, 27}, {-95, -17}, {9, -76}, {60, -38}, {-76, 9}, {-93, -87}, {-57, -24}, {49, 68}, {63, 24},
          {81, 26}, {-93, -59}},
         {{93, -100}, {99, -75}, {97, 11}, {94, 71}, {28, 91}, {-99, 96}, {-93, -87}, {-10, -99}}},
        {{{40, -72}, {-89, 2}, {-9, 93}, {-82, -32}, {74, 90}, {81, -62}, {52, 94}, {89, -20}, {60, -81}, {-13, -79},
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          {-17, 15}, {85, -28}},
         {{-25, -99}, {36, -98}, {60, -81}, {81, -62}, {91, -39}, {99, 97}, {-33, 99}, {-87, 99}, {-90, 86}, {-96, -78},
          {-91, -96}}},
        {{{-17, -61}, {-28, -51}, {64, 26}, {92, 20}, {83, 71}, {-73, 21}, {92, 13}, {-47, 93}, {-59, -81}, {-27, 80},
          {91, 43}, {99, -59}, {-4, -53}, {51, 42}, {-23, -90}, {-92, 40}, {-68, -36}, {76, 0}, {-45, 22}, {-57, 97},
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          {94, -34}, {30, 70}, {21, 31}, {-5, 99}, {29, -41}, {25, 19}, {-66, -42}, {-28, -71}, {41, 78}, {52, 22},
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         {{-75, -99}, {-3, -97}, {92, -80}, {99, -59}, {90, 92}, {64, 100}, {-81, 99}, {-98, 35}}},
        {{{97, -33}, {47, 51}, {42, -12}, {32, -17}, {-20, -18}, {57, 80}, {-10, 75}, {53, -3}, {-64, 10}, {-9, 52},
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          {47, 68}, {-27, 73}, {75, 36}, {-51, 11}, {-19, 41}, {28, -71}, {-6, -19}, {26, -81}, {0, 13}, {-7, -21},
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          {76, 56}, {-75, -37}, {-39, 64}, {57, -38}, {-47, -30}, {-25, -80}, {38, -32}, {57, 67}, {98, 17}, {-77, 74},
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          {-90, -51}, {-93, -44}, {-29, 40}, {4, 73}, {-61, 26}, {-34, 37}, {8, 84}, {47, 38}, {53, -92}, {91, 39},
          {-37, -49}},
         {{-90, -94}, {53, -92}, {78, -91}, {97, -33}, {98, 17}, {91, 39}, {57, 80}, {-11, 93}, {-23, 93}, {-94, 86},
          {-97, 27}, {-93, -44}}},
        {{{-98, 0}, {-15, -37}, {-16, 7}, {36, 78}, {8, 63}, {-66, 62}, {61, 58}, {17, 37}, {-33, -100}, {-90, -81},
          {94, 55}, {-2, 75}, {-51, -53}, {77, 56}, {-100, -24}, {-20, -5}, {-74, -64}, {33, 51}, {-42, -31}, {-8, -41},
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          {-88, 5}, {33, -11}, {-19, 71}, {8, -1}, {37, -39}, {51, 76}, {-14, 32}, {-51, -33}, {25, 30}, {-84, -81},
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          {21, 31}, {55, -12}, {-100, -31}, {-38, 10}, {1, -37}, {5, 15}, {46, 32}, {-48, 51}, {89, 88}, {-88, 65}},
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          {-100, -24}, {-100, -31}, {-90, -81}}},
        {{{94, 69}, {52, 42}, {-100, 24}, {39, 12}, {39, -42}, {-36, 86}, {-28, 33}, {5, -46}, {-8, -30}, {0, 25},
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          {11, -26}, {49, -70}, {-48, -85}, {-82, 26}, {69, -61}, {9, 54}, {19, -2}, {-85, 92}, {-2, -49}, {-59, 71},
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          {-71, -85}, {75, 88}, {-61, 62}, {53, 11}, {-45, -82}, {-81, -17}, {50, -65}, {-30, -35}, {-34, -91},
          {-67, 72}, {82, -60}},
         {{-56, -98}, {54, -97}, {71, -76}, {82, -60}, {95, 70}, {97, 100}, {-85, 92}, {-98, 63}, {-100, 24},
          {-89, -50}, {-71, -85}}},
        {{{11, -65}, {-39, 41}, {1, -60}, {-29, -32}, {-66, 96}, {90, -30}, {-37, 77}, {12, 54}, {46, -18}, {-55, -85},
          {94, -19}, {91, -73}, {76, -7}, {31, -41}, {51, 34}, {63, 88}, {88, -6}, {-20, -81}, {74, -28}, {63, 2},
          {3, -44}, {-45, -70}, {-87, -2}, {63, -62}, {-59, -5}, {-4, 99}, {75, 63}, {33, 43}, {49, -52}, {88, -60},
          {21, -6}, {-78, -28}, {37, -10}, {-20, -73}, {47, 96}, {-76, 11}, {-3, -85}, {52, 94}, {-8, -40}, {-12, 95},
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          {82, -74}, {55, 66}, {45, -26}, {75, 33}, {93, 48}, {-47, -6}, {-92, 100}, {70, 69}, {52, -2}, {91, 88}},
         {{-99, -96}, {-65, -95}, {66, -77}, {91, -73}, {97, -40}, {95, 67}, {91, 88}, {73, 95}, {-4, 99}, {-92, 100},
          {-94, 79}, {-99, -58}}},
        {{{-68, -73}, {17, -56}, {-19, 48}, {-72, -12}, {-11, -47}, {50, 74}, {21, -80}, {40, 53}, {64, -27}, {70, 69},
          {94, 32}, {-16, -83}, {39, 7}, {36, 69}, {48, 30}, {-25, 62}, {-28, -48}, {-91, 82}, {-29, -28}, {40, 66},
          {-21, 18}, {-94, -31}, {34, -52}, {88, -94}, {-8, -22}, {21, 90}, {36, -99}, {62, 20}, {-28, 11}, {-15, 6},
          {-22, 70}, {9, -91}, {55, -62}, {-69, 99}, {41, -69}, {-22, 61}, {94, -37}, {-49, 78}, {-90, 19}, {20, 4},
          {40, 49}, {-49, 72}, {9, -6}, {7, 55}, {-22, -24}, {97, -55}, {-100, 93}, {-71, -91}, {-89, 56}, {34, 91},
          {-100, -13}, {-98, -40}, {36, -95}, {-20, -6}, {2, 97}, {-55, -66}, {33, 35}, {-68, 61}, {59, -82}, {68, 100},
          {45, -85}, {32, -70}, {81, -71}, {58, -85}, {14, 89}, {99, 47}, {18, -85}, {-47, 65}, {22, 9}, {-50, -9},
          {-16, 38}, {-71, -68}, {-83, 29}, {73, -72}, {-83, 86}, {-87, -26}, {-43, 99}, {37, 96}, {34, -21},
          {-40, -47}, {-34, 20}, {51, -15}, {1, -36}, {72, 27}, {8, 42}, {8, -8}, {-97, 72}, {97, 55}, {37, -85},
          {-6, -73}, {51, 7}, {69, 46}, {-46, 91}, {-62, 96}, {54, 76}, {-63, 49}, {42, 21}, {39, -27}, {-95, -52},
          {5, 78}},
         {{36, -99}, {88, -94}, {97, -55}, {99, 47}, {97, 55}, {68, 100}, {-69, 99}, {-100, 93}, {-100, -13},
          {-98, -40}, {-95, -52}, {-71, -91}}},
        {{{0, 0}, {1, -1}, {-1, -1}, {0, 0}, {-1, 1}, {-1, 0}, {-1, 1}, {0, -1}, {0, 1}, {1, 0}, {0, -1}, {0, -1},
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          {1, 1}, {0, -1}, {1, 0}},
         {{-1, -1}, {1, -1}, {1, 1}, {-1, 1}}},
        {{{1, -2}, {1, 1}, {1, 2}, {1, 2}, {-1, -2}, {1, 1}, {2, -2}, {-1, 1}, {-1, 1}, {-1, 0}, {2, -1}, {-1, -1},
          {1, 2}, {2, -1}, {-1, -1}, {-1, 0}, {-1, -1}, {-2, -1}, {1, 2}, {-1, -2}, {0, -2}, {-2, 2}, {1, 1}, {2, 1},
          {2, 1}, {2, -2}, {-1, 1}, {-2, 1}, {0, -2}, {2, 2}, {1, 0}, {1, -1}, {1, 1}, {-2, 2}, {-2, -1}, {0, -1},
          {2, 0}, {-2, -2}, {-2, -1}, {1, -1}, {1, 2}, {2, -2}, {1, 2}, {-1, 0}, {1, 2}, {-2, -2}, {2, -2}, {1, 1},
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          {-2, 1}, {-2, 2}, {-1, 1}, {2, 1}, {2, -2}, {-2, -2}, {2, 1}, {-2, -1}, {-1, 1}, {2, 2}, {0, 0}, {-2, 2},
          {-1, 2}, {2, -2}, {-2, -2}, {0, 1}, {-1, 1}, {-2, 2}, {2, 2}, {1, 0}, {-1, 0}, {-1, 1}, {0, 2}, {0, 2},
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          {-2, 2}, {2, -2}, {-2, 0}},
         {{-2, -2}, {2, -2}, {2, 2}, {-2, 2}}},
        {{{-627, 164}, {692, -90}, {473, 956}, {-608, 949}, {-355, 248}, {-142, -701}, {586, 585}, {903, -115},
          {765, -512}, {-682, 205}, {-490, -217}, {556, -504}, {361, 645}, {516, 645}, {-147, 45}, {-428, 276}, {55, 8},
          {469, 460}, {747, -310}, {-478, 476}, {-482, -881}, {-37, 592}, {705, 237}, {960, 545}, {661, 119},
          {192, -398}, {-303, -136}, {-254, -656}, {-126, 610}, {-12, 694}, {138, 717}, {254, -118}, {-132, 7},
          {-594, 222}, {-629, 871}, {748, 69}, {488, 613}, {737, -145}, {-827, 94}, {937, -3}, {775, -212}, {74, -47},
          {72, -88}, {-650, 241}, {44, 212}, {-793, 488}, {-524, -730}, {565, 772}, {815, -357}, {88, 168}, {674, 41},
          {-828, 502}, {-148, -884}, {-509, 379}, {-624, 289}, {441, 153}, {797, -126}, {663, 977}, {787, -598},
          {173, 916}, {468, 310}, {642, -333}, {-209, 293}, {-136, 160}, {227, -185}, {898, 334}, {-629, 451},
          {-473, -605}, {-442, 989}, {-997, -945}, {570, -441}, {357, 107}, {-166, 695}, {156, 724}, {-306, -488},
          {729, -10}, {-7, -252}, {-228, -662}, {167, 21}, {-993, -560}, {-870, -34}, {278, 410}, {-398, 891},
          {444, -376}, {-683, 962}, {495, 997}, {-785, -788}, {216, 195}, {-634, 334}, {-272, -488}, {-351, 380},
          {784, -151}, {-616, -289}, {884, 616}, {446, 816}, {-291, 372}, {823, -265}, {341, 963}, {899, 730},
          {-807, -320}},
         {{-997, -945}, {-148, -884}, {787, -598}, {937, -3}, {960, 545}, {899, 730}, {663, 977}, {495, 997},
          {-442, 989}, {-683, 962}, {-828, 502}, {-993, -560}}}
      },

      (* Reals *)
      VerificationTest[
        Round[First[convexHullPolygon[#]], 0.01],
        #2
      ] & @@@ {
        {{{0.83, 0.48}, {0.6, 0.04}, {-0.31, 0.35}, {-0.72, -0.7}, {0.23, 0.41}, {-0.61, -0.91}, {0.83, 0.4},
          {-0.08, 0.2}, {0.51, 0.55}, {0.08, -0.68}, {0.39, 0.77}, {0.47, -0.44}, {0.45, -0.04}, {0.43, -0.82},
          {-0.59, -0.54}, {-0.64, -0.78}, {-0.36, -0.34}, {0.43, -0.97}, {0.03, -0.7}, {0.92, 0.51}, {0.33, 0.89},
          {0.18, 0.48}, {-0.36, 0.41}, {0.4, 0.6}, {0.98, 0.43}, {0.96, -0.39}, {-0.53, -0.96}, {-0.65, 0.96},
          {-0.07, -0.92}, {0.85, -0.84}, {0.06, -0.86}, {0.84, -0.45}, {0.02, 0.89}, {-0.71, 0.63}, {0.04, 0.99},
          {0.8, 0.68}, {-0.62, 0.6}, {-0.59, -0.77}, {-0.78, 0.58}, {0.34, 0.06}, {-0.43, 0.91}, {-0.64, 0.3},
          {0.06, 0.63}, {-0.77, 0.49}, {0.77, 0.96}, {-0.64, 0.66}, {-0.38, -0.14}, {-0.56, 0.16}, {-0.27, 0.63},
          {0.72, 0.67}, {-0.96, -0.58}, {0.91, -0.64}, {-0.6, 0.31}, {-0.78, -0.93}, {-0.78, -0.77}, {0.49, 0.41},
          {-0.72, -0.89}, {0.19, -0.87}, {0.51, 0.19}, {0.71, -0.51}, {0.92, -0.65}, {0.91, 0.86}, {-0.2, 0.25},
          {-0.37, 0.22}, {0.85, 0.67}, {0.68, 0.83}, {-0.74, -0.92}, {0.12, -0.05}, {0.66, 0.61}, {-0.6, -0.67},
          {0.55, -0.67}, {0.65, -0.07}, {0.76, -0.78}, {0.94, -0.89}, {0.45, 0.98}, {-0.75, 0.15}, {-0.59, -0.89},
          {0.8, -0.83}, {-0.84, 0.63}, {0.01, 0.66}, {-0.19, 0.82}, {0.46, -0.11}, {0.86, -0.22}, {-0.91, 0.75},
          {0.8, -0.28}, {0.07, -0.28}, {-0.28, 0.83}, {-0.08, 0.56}, {-0.17, -0.97}, {0.7, 0.1}, {0.35, 0.94},
          {-0.44, -0.63}, {0.47, -0.59}, {-0.36, 0.76}, {-0.21, 0.94}, {0.44, -0.08}, {-0.49, 0.28}, {0.94, 0.79},
          {0.73, 0.38}, {-0.66, 0.32}},
         {{-0.17, -0.97}, {0.43, -0.97}, {0.94, -0.89}, {0.96, -0.39}, {0.98, 0.43}, {0.94, 0.79}, {0.91, 0.86},
          {0.77, 0.96}, {0.45, 0.98}, {0.04, 0.99}, {-0.65, 0.96}, {-0.91, 0.75}, {-0.96, -0.58}, {-0.78, -0.93},
          {-0.53, -0.96}}},
        {{{-0.13, -0.18}, {0.27, 0.81}, {0.15, -0.24}}, {{0.15, -0.24}, {0.27, 0.81}, {-0.13, -0.18}}},
        {{{-0.33, 0.17}, {-0.38, 0.4}, {0.07, -0.38}, {-0.72, -0.02}}, {{0.07, -0.38}, {-0.38, 0.4}, {-0.72, -0.02}}}
      }
    }
  |>
|>