// Copyright 2019 The libgav1 Authors // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. // This file is just a convenience to separate out all the quantizer table // definitions from the quantizer functions. constexpr uint8_t kQuantizerMatrix4x8 [kNumQuantizerLevelsForQuantizerMatrix][kNumPlaneTypes][32] = { {{32, 42, 75, 91, 33, 42, 69, 86, 37, 58, 84, 91, 49, 71, 103, 110, 65, 84, 125, 128, 80, 97, 142, 152, 91, 100, 145, 178, 104, 112, 146, 190}, {31, 47, 60, 66, 40, 45, 54, 61, 46, 56, 64, 64, 48, 61, 75, 73, 54, 65, 85, 82, 61, 69, 92, 92, 64, 68, 90, 102, 68, 71, 87, 105}}, {{32, 42, 69, 88, 33, 42, 64, 83, 36, 56, 77, 88, 46, 67, 93, 105, 60, 79, 112, 122, 75, 92, 130, 144, 86, 95, 136, 167, 98, 105, 136, 177}, {31, 47, 57, 65, 40, 45, 52, 61, 46, 55, 61, 63, 47, 60, 70, 72, 52, 64, 79, 81, 59, 68, 87, 90, 63, 66, 88, 99, 66, 69, 85, 102}}, {{32, 38, 62, 86, 32, 40, 58, 80, 34, 51, 68, 85, 44, 61, 85, 101, 54, 69, 98, 117, 72, 84, 118, 136, 82, 89, 129, 157, 92, 98, 127, 165}, {31, 47, 54, 64, 38, 46, 50, 60, 46, 53, 57, 62, 46, 56, 66, 71, 50, 59, 74, 79, 57, 64, 82, 88, 61, 65, 85, 97, 65, 67, 82, 99}}, {{32, 35, 59, 83, 32, 36, 57, 78, 34, 47, 65, 82, 41, 53, 78, 97, 51, 61, 92, 111, 65, 73, 108, 129, 75, 81, 117, 148, 86, 92, 119, 154}, {31, 47, 53, 63, 36, 47, 50, 59, 46, 52, 55, 61, 45, 53, 63, 70, 49, 55, 71, 77, 54, 58, 77, 86, 59, 61, 81, 94, 63, 65, 80, 95}}, {{32, 35, 51, 77, 32, 36, 50, 72, 34, 42, 54, 75, 38, 51, 67, 87, 48, 59, 80, 103, 60, 68, 92, 119, 72, 79, 104, 135, 81, 86, 112, 144}, {31, 47, 50, 61, 36, 47, 47, 57, 43, 50, 50, 58, 45, 53, 58, 65, 47, 54, 66, 74, 52, 56, 70, 82, 57, 60, 75, 90, 61, 63, 77, 93}}, {{32, 35, 51, 75, 32, 36, 50, 71, 34, 42, 54, 73, 37, 50, 65, 84, 45, 56, 76, 96, 54, 63, 87, 110, 65, 73, 97, 125, 75, 81, 106, 136}, {31, 47, 50, 60, 36, 47, 47, 56, 43, 50, 50, 57, 46, 53, 57, 64, 46, 54, 64, 71, 50, 55, 68, 78, 54, 58, 72, 85, 59, 61, 75, 90}}, {{32, 34, 43, 62, 32, 34, 42, 59, 33, 37, 44, 58, 35, 43, 54, 68, 41, 48, 64, 79, 49, 54, 71, 91, 57, 60, 78, 101, 66, 68, 86, 111}, {31, 42, 47, 54, 33, 44, 45, 51, 40, 47, 46, 50, 47, 50, 54, 57, 45, 49, 59, 64, 48, 50, 61, 70, 51, 52, 63, 75, 55, 55, 66, 79}}, {{32, 32, 42, 56, 32, 33, 41, 53, 32, 35, 42, 52, 34, 37, 50, 59, 38, 40, 58, 68, 44, 45, 66, 78, 50, 50, 71, 86, 61, 58, 79, 97}, {31, 38, 47, 52, 32, 40, 45, 49, 39, 47, 45, 48, 44, 47, 51, 53, 46, 47, 56, 58, 47, 46, 59, 64, 48, 47, 61, 68, 53, 50, 64, 73}}, {{32, 32, 37, 52, 32, 33, 36, 49, 32, 34, 38, 49, 34, 37, 44, 54, 35, 38, 49, 60, 40, 42, 55, 69, 46, 46, 59, 76, 52, 51, 64, 83}, {31, 38, 47, 50, 31, 40, 46, 48, 36, 44, 47, 47, 42, 47, 50, 50, 47, 48, 53, 54, 46, 46, 54, 60, 48, 46, 55, 64, 50, 48, 56, 67}}, {{31, 32, 35, 43, 32, 33, 34, 41, 32, 34, 36, 42, 32, 35, 38, 42, 34, 37, 43, 49, 37, 40, 49, 56, 42, 43, 53, 63, 46, 46, 56, 67}, {31, 38, 47, 48, 31, 40, 46, 45, 35, 43, 47, 46, 39, 47, 47, 45, 43, 47, 50, 50, 47, 47, 53, 55, 46, 46, 53, 58, 48, 46, 54, 59}}, {{31, 32, 34, 39, 32, 32, 34, 38, 32, 33, 34, 38, 32, 33, 36, 40, 33, 34, 38, 42, 34, 36, 41, 47, 37, 38, 44, 52, 40, 40, 46, 56}, {31, 34, 42, 48, 31, 35, 42, 46, 33, 37, 44, 46, 36, 41, 46, 46, 40, 44, 48, 48, 45, 46, 49, 51, 47, 47, 50, 54, 47, 46, 49, 55}}, {{31, 31, 32, 35, 32, 32, 32, 35, 32, 32, 33, 34, 32, 32, 34, 36, 32, 33, 35, 38, 33, 33, 36, 40, 34, 34, 37, 42, 35, 34, 38, 48}, {31, 31, 37, 48, 31, 31, 38, 47, 31, 32, 40, 46, 34, 36, 43, 47, 37, 39, 46, 47, 39, 41, 47, 48, 42, 43, 47, 50, 48, 46, 48, 53}}, {{31, 31, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 32, 32, 33, 34, 32, 32, 34, 34, 32, 33, 34, 35, 33, 33, 35, 36}, {31, 31, 35, 37, 31, 31, 36, 38, 31, 32, 37, 39, 31, 32, 37, 40, 34, 36, 40, 43, 35, 37, 42, 44, 38, 40, 45, 47, 41, 42, 45, 47}}, {{31, 31, 31, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 33, 32, 32, 32, 33, 32, 32, 32, 33}, {31, 31, 31, 34, 31, 31, 31, 35, 31, 31, 31, 35, 31, 32, 32, 36, 31, 32, 32, 36, 31, 33, 33, 37, 34, 36, 36, 40, 34, 36, 36, 40}}, {{31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32}, {31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 30, 31, 32, 32}}}; constexpr uint8_t kQuantizerMatrix4x16 [kNumQuantizerLevelsForQuantizerMatrix][kNumPlaneTypes][64] = { {{31, 44, 79, 96, 32, 41, 72, 90, 32, 42, 71, 86, 34, 48, 73, 83, 34, 54, 78, 89, 41, 63, 90, 95, 45, 67, 96, 102, 54, 75, 110, 111, 60, 79, 118, 123, 72, 90, 133, 135, 75, 92, 136, 149, 83, 100, 142, 160, 88, 100, 140, 173, 94, 101, 144, 180, 101, 108, 141, 188, 108, 115, 151, 197}, {31, 49, 63, 69, 32, 45, 57, 65, 36, 46, 56, 62, 43, 49, 57, 60, 46, 53, 60, 63, 45, 58, 67, 66, 46, 59, 71, 70, 50, 62, 78, 74, 52, 64, 82, 80, 57, 67, 89, 85, 59, 68, 90, 91, 62, 71, 91, 96, 63, 69, 89, 101, 65, 68, 89, 103, 67, 70, 86, 105, 69, 72, 88, 107}}, {{31, 44, 73, 93, 32, 41, 67, 87, 32, 42, 65, 83, 33, 44, 66, 81, 34, 54, 74, 86, 37, 58, 79, 92, 44, 66, 90, 98, 49, 71, 99, 107, 56, 77, 107, 117, 65, 84, 119, 129, 72, 90, 127, 141, 78, 95, 133, 151, 84, 95, 132, 163, 89, 95, 136, 169, 95, 101, 132, 175, 101, 108, 141, 183}, {31, 49, 61, 69, 32, 45, 55, 64, 36, 46, 54, 61, 41, 47, 54, 59, 46, 53, 59, 62, 46, 56, 62, 65, 46, 59, 68, 68, 48, 61, 73, 73, 51, 63, 77, 78, 54, 65, 82, 84, 57, 67, 86, 89, 60, 69, 88, 93, 62, 67, 86, 98, 64, 66, 87, 100, 65, 68, 83, 102, 67, 70, 86, 103}}, {{31, 39, 65, 90, 32, 38, 60, 84, 32, 39, 59, 81, 33, 40, 58, 78, 34, 47, 65, 83, 37, 54, 73, 89, 41, 58, 79, 94, 46, 62, 86, 102, 53, 68, 97, 112, 60, 73, 105, 123, 65, 78, 111, 134, 74, 85, 120, 143, 79, 90, 125, 154, 84, 90, 128, 158, 89, 95, 124, 164, 94, 101, 131, 170}, {31, 48, 57, 68, 32, 46, 53, 63, 36, 46, 51, 60, 40, 46, 50, 58, 44, 51, 54, 61, 46, 54, 60, 64, 45, 56, 64, 67, 47, 57, 68, 71, 49, 58, 73, 77, 52, 60, 76, 82, 54, 62, 79, 87, 58, 64, 82, 91, 60, 66, 84, 95, 62, 64, 84, 97, 64, 66, 81, 99, 65, 68, 83, 100}}, {{31, 36, 62, 88, 32, 35, 58, 82, 32, 36, 57, 79, 33, 38, 56, 76, 34, 42, 61, 81, 34, 48, 66, 85, 39, 51, 74, 91, 44, 56, 82, 98, 49, 60, 90, 107, 54, 63, 95, 117, 60, 68, 102, 127, 68, 75, 110, 135, 75, 81, 117, 145, 79, 85, 120, 148, 84, 89, 116, 153, 88, 94, 123, 159}, {31, 48, 56, 67, 32, 46, 52, 62, 35, 47, 50, 60, 40, 47, 49, 57, 43, 50, 53, 60, 46, 53, 56, 63, 45, 53, 61, 66, 46, 54, 65, 70, 48, 54, 70, 75, 50, 55, 72, 80, 52, 56, 75, 85, 56, 59, 79, 89, 58, 61, 81, 93, 60, 63, 82, 94, 62, 64, 79, 96, 63, 66, 81, 97}}, {{31, 36, 53, 81, 32, 35, 51, 76, 32, 35, 49, 73, 32, 37, 49, 71, 33, 41, 53, 74, 34, 48, 60, 80, 37, 50, 65, 85, 41, 53, 71, 91, 45, 56, 76, 98, 49, 60, 82, 105, 54, 63, 87, 112, 61, 69, 93, 121, 68, 75, 100, 130, 74, 80, 105, 137, 78, 84, 109, 142, 83, 88, 114, 148}, {31, 48, 52, 64, 31, 47, 49, 60, 33, 46, 48, 57, 38, 47, 47, 56, 42, 49, 50, 57, 46, 53, 54, 61, 46, 53, 57, 64, 45, 53, 61, 68, 46, 54, 64, 71, 48, 54, 66, 75, 50, 55, 68, 78, 52, 57, 71, 83, 56, 59, 73, 87, 58, 61, 75, 90, 60, 62, 76, 92, 62, 64, 78, 94}}, {{31, 36, 53, 79, 32, 35, 51, 75, 32, 34, 49, 72, 32, 36, 50, 71, 33, 38, 49, 69, 34, 42, 54, 73, 34, 48, 60, 78, 37, 50, 65, 84, 41, 53, 71, 90, 45, 56, 76, 96, 49, 60, 82, 103, 54, 63, 87, 110, 60, 68, 92, 118, 65, 73, 97, 125, 72, 79, 104, 133, 75, 81, 106, 136}, {31, 48, 52, 63, 31, 47, 50, 60, 32, 46, 48, 57, 36, 47, 47, 56, 40, 47, 47, 54, 43, 50, 50, 57, 46, 53, 54, 60, 46, 53, 57, 64, 45, 53, 61, 67, 46, 54, 64, 71, 48, 54, 66, 75, 50, 55, 68, 78, 52, 56, 70, 82, 54, 58, 72, 85, 57, 60, 75, 89, 59, 61, 75, 90}}, {{31, 34, 44, 65, 32, 34, 43, 62, 32, 33, 41, 59, 32, 35, 43, 59, 32, 37, 43, 58, 34, 39, 48, 63, 34, 42, 53, 67, 36, 44, 57, 71, 39, 46, 60, 76, 42, 48, 64, 81, 45, 51, 67, 85, 50, 54, 72, 92, 54, 58, 76, 98, 60, 63, 80, 105, 66, 68, 85, 111, 73, 74, 91, 118}, {31, 42, 49, 57, 31, 42, 47, 54, 32, 42, 45, 52, 35, 45, 46, 51, 40, 47, 46, 50, 43, 48, 49, 53, 46, 50, 53, 56, 46, 50, 55, 58, 46, 49, 57, 61, 46, 49, 59, 64, 47, 50, 60, 67, 48, 50, 61, 71, 50, 52, 63, 73, 52, 53, 64, 76, 55, 55, 66, 79, 58, 58, 68, 82}}, {{31, 32, 44, 58, 32, 32, 42, 55, 32, 33, 41, 53, 32, 34, 42, 53, 32, 34, 42, 53, 32, 35, 42, 52, 34, 37, 48, 57, 35, 38, 54, 63, 37, 40, 57, 67, 39, 41, 60, 70, 41, 43, 63, 74, 45, 46, 67, 79, 50, 50, 71, 86, 54, 53, 74, 90, 57, 56, 77, 93, 61, 58, 79, 97}, {31, 37, 49, 54, 31, 38, 47, 51, 32, 40, 45, 49, 34, 42, 45, 49, 37, 44, 45, 48, 39, 47, 45, 48, 42, 47, 49, 51, 47, 48, 53, 55, 46, 47, 55, 58, 46, 46, 57, 60, 46, 46, 58, 62, 47, 46, 59, 65, 48, 47, 61, 68, 50, 48, 62, 70, 51, 49, 63, 71, 53, 50, 64, 73}}, {{31, 32, 38, 53, 32, 32, 37, 51, 32, 32, 36, 49, 32, 33, 36, 49, 32, 34, 38, 50, 32, 35, 39, 49, 33, 36, 41, 51, 34, 37, 44, 54, 35, 38, 49, 60, 37, 40, 51, 63, 38, 40, 52, 65, 42, 43, 56, 71, 45, 45, 58, 75, 47, 47, 60, 77, 51, 50, 63, 82, 55, 54, 67, 87}, {31, 37, 48, 52, 31, 38, 47, 50, 31, 39, 46, 48, 32, 40, 46, 48, 35, 43, 46, 47, 39, 47, 47, 47, 40, 47, 48, 48, 42, 47, 50, 50, 47, 48, 53, 54, 47, 47, 53, 56, 46, 47, 54, 57, 46, 46, 55, 61, 47, 46, 55, 63, 48, 47, 55, 64, 49, 47, 56, 66, 51, 49, 57, 68}}, {{31, 32, 36, 44, 32, 32, 35, 42, 32, 32, 35, 41, 32, 33, 34, 41, 32, 34, 36, 42, 32, 34, 36, 42, 32, 35, 38, 42, 33, 36, 40, 44, 34, 37, 42, 48, 35, 38, 47, 52, 35, 38, 48, 54, 38, 40, 50, 58, 40, 41, 51, 60, 42, 43, 53, 63, 45, 45, 56, 66, 46, 46, 56, 67}, {31, 37, 48, 49, 31, 38, 47, 47, 31, 39, 46, 46, 31, 40, 46, 45, 34, 42, 47, 45, 35, 43, 47, 46, 39, 47, 47, 45, 40, 47, 48, 47, 42, 47, 50, 49, 46, 48, 52, 53, 47, 48, 53, 53, 47, 47, 53, 56, 47, 46, 53, 57, 46, 46, 53, 58, 48, 46, 54, 59, 48, 46, 54, 59}}, {{31, 32, 34, 39, 32, 32, 34, 38, 32, 32, 34, 38, 32, 32, 33, 37, 32, 32, 33, 37, 32, 33, 35, 39, 32, 33, 35, 39, 32, 34, 37, 40, 32, 34, 37, 40, 34, 35, 39, 45, 34, 35, 39, 45, 35, 36, 43, 51, 35, 36, 43, 51, 38, 39, 45, 54, 38, 39, 45, 54, 42, 42, 48, 58}, {31, 33, 42, 48, 31, 34, 42, 47, 31, 34, 42, 47, 31, 35, 42, 45, 31, 35, 42, 45, 34, 39, 45, 46, 34, 39, 45, 46, 38, 43, 47, 46, 38, 43, 47, 46, 42, 45, 48, 50, 42, 45, 48, 50, 48, 47, 50, 53, 48, 47, 50, 53, 47, 46, 50, 54, 47, 46, 50, 54, 47, 45, 49, 56}}, {{31, 31, 32, 36, 31, 32, 32, 35, 32, 32, 32, 35, 32, 32, 32, 35, 32, 32, 33, 34, 32, 32, 33, 34, 32, 32, 34, 36, 32, 32, 34, 36, 32, 32, 34, 37, 32, 33, 35, 38, 32, 33, 35, 38, 33, 33, 36, 41, 34, 34, 37, 42, 34, 34, 37, 44, 35, 34, 38, 48, 35, 34, 38, 48}, {31, 31, 37, 48, 31, 31, 38, 47, 31, 31, 38, 47, 31, 32, 39, 46, 31, 32, 40, 46, 31, 32, 40, 46, 34, 35, 42, 47, 34, 36, 43, 47, 36, 37, 44, 47, 38, 40, 47, 47, 38, 40, 47, 47, 41, 42, 47, 49, 42, 43, 47, 50, 44, 44, 47, 51, 48, 46, 48, 53, 48, 46, 48, 53}}, {{31, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 33, 32, 32, 32, 33, 32, 32, 33, 33, 32, 32, 33, 34, 32, 32, 33, 34, 32, 32, 33, 34, 32, 32, 34, 35, 32, 33, 34, 35, 32, 33, 34, 35, 33, 33, 35, 36, 34, 34, 36, 37}, {31, 31, 35, 37, 31, 31, 35, 38, 31, 31, 36, 38, 31, 31, 36, 38, 31, 32, 36, 39, 31, 32, 37, 40, 31, 32, 37, 40, 31, 33, 38, 40, 33, 35, 40, 42, 34, 36, 40, 43, 34, 36, 40, 43, 36, 38, 43, 45, 38, 40, 45, 47, 38, 40, 45, 47, 39, 41, 45, 47, 42, 43, 46, 47}}, {{31, 31, 31, 32, 31, 31, 31, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 33, 32, 32, 32, 33, 32, 32, 32, 33, 32, 32, 32, 33, 32, 32, 32, 33}, {31, 31, 31, 34, 31, 31, 31, 34, 31, 31, 31, 35, 31, 31, 31, 35, 31, 31, 31, 35, 31, 31, 31, 35, 31, 32, 32, 36, 31, 32, 32, 36, 31, 32, 32, 36, 31, 32, 32, 36, 31, 32, 32, 36, 32, 33, 33, 37, 33, 35, 35, 39, 34, 36, 36, 40, 34, 36, 36, 40, 34, 36, 36, 40}}, {{31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32}, {31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 31, 31, 32, 32, 31, 31, 32, 32, 30, 31, 32, 32}}}; constexpr uint8_t kQuantizerMatrix8x16 [kNumQuantizerLevelsForQuantizerMatrix][kNumPlaneTypes][128] = { {{32, 32, 36, 53, 65, 87, 93, 99, 31, 33, 34, 49, 59, 78, 86, 93, 32, 34, 36, 50, 59, 77, 82, 89, 34, 37, 42, 54, 63, 79, 80, 88, 36, 38, 48, 60, 68, 84, 86, 90, 44, 43, 53, 71, 79, 95, 94, 97, 48, 46, 56, 76, 85, 102, 105, 105, 58, 54, 63, 87, 98, 116, 112, 115, 65, 58, 68, 92, 105, 124, 122, 124, 79, 70, 79, 104, 118, 141, 135, 135, 82, 72, 81, 106, 121, 144, 149, 146, 91, 80, 88, 106, 130, 148, 162, 159, 97, 86, 94, 107, 128, 157, 167, 171, 103, 93, 98, 114, 131, 150, 174, 186, 110, 100, 101, 117, 138, 161, 183, 193, 118, 107, 105, 118, 136, 157, 182, 203}, {32, 37, 48, 52, 57, 66, 68, 71, 30, 40, 46, 48, 52, 60, 63, 66, 33, 43, 47, 47, 51, 59, 60, 63, 42, 47, 50, 50, 53, 60, 59, 62, 49, 48, 53, 54, 57, 62, 62, 62, 49, 46, 53, 61, 64, 69, 66, 66, 50, 46, 54, 64, 67, 73, 72, 70, 54, 49, 55, 68, 73, 80, 76, 75, 57, 50, 56, 70, 76, 84, 80, 79, 63, 55, 60, 75, 82, 92, 87, 84, 64, 56, 61, 75, 83, 93, 93, 89, 68, 59, 64, 74, 86, 94, 98, 94, 70, 62, 66, 73, 83, 96, 99, 98, 72, 64, 66, 75, 83, 92, 101, 104, 74, 67, 66, 74, 84, 94, 103, 106, 76, 69, 67, 73, 82, 91, 101, 109}}, {{32, 32, 36, 47, 65, 79, 90, 96, 31, 32, 35, 44, 60, 72, 84, 90, 32, 34, 36, 45, 59, 71, 80, 87, 32, 35, 40, 47, 60, 71, 78, 85, 36, 37, 48, 56, 68, 78, 83, 87, 39, 40, 50, 60, 73, 84, 91, 94, 47, 45, 56, 69, 84, 95, 101, 101, 53, 50, 60, 75, 92, 103, 108, 110, 61, 56, 65, 81, 100, 113, 116, 118, 71, 64, 73, 89, 111, 125, 129, 129, 79, 70, 79, 95, 118, 133, 142, 138, 86, 76, 84, 100, 124, 140, 153, 150, 92, 82, 89, 101, 121, 148, 157, 161, 98, 88, 93, 108, 124, 141, 163, 174, 104, 94, 95, 110, 129, 151, 171, 181, 110, 100, 98, 111, 127, 147, 169, 188}, {32, 35, 48, 50, 57, 63, 68, 70, 30, 38, 46, 46, 52, 58, 63, 65, 33, 41, 47, 46, 51, 56, 60, 63, 39, 46, 48, 47, 51, 55, 58, 61, 49, 48, 53, 54, 57, 60, 61, 61, 48, 46, 53, 56, 60, 64, 65, 65, 50, 46, 54, 61, 66, 70, 71, 69, 52, 47, 54, 63, 71, 75, 75, 74, 55, 49, 56, 65, 74, 79, 79, 78, 60, 53, 58, 68, 79, 85, 85, 82, 63, 55, 60, 70, 82, 89, 91, 87, 66, 58, 62, 72, 84, 91, 95, 91, 68, 60, 64, 71, 81, 94, 97, 96, 70, 62, 65, 73, 81, 89, 98, 101, 72, 65, 65, 72, 82, 92, 100, 103, 74, 67, 65, 71, 79, 89, 98, 105}}, {{32, 32, 36, 44, 58, 79, 88, 93, 31, 32, 35, 41, 54, 73, 81, 88, 32, 33, 36, 42, 53, 71, 78, 84, 32, 34, 38, 42, 52, 69, 76, 82, 34, 36, 44, 50, 59, 75, 81, 84, 39, 39, 50, 58, 68, 84, 88, 90, 44, 42, 53, 63, 74, 90, 97, 97, 49, 46, 57, 67, 81, 97, 104, 105, 57, 53, 63, 74, 90, 108, 111, 113, 65, 59, 68, 79, 97, 118, 123, 122, 71, 64, 73, 84, 102, 125, 135, 131, 81, 72, 80, 91, 110, 135, 145, 141, 87, 77, 85, 96, 114, 140, 148, 151, 92, 83, 88, 102, 117, 133, 153, 163, 98, 88, 89, 103, 121, 141, 160, 169, 103, 94, 92, 103, 119, 137, 158, 175}, {32, 34, 48, 49, 54, 63, 67, 69, 31, 36, 46, 46, 50, 58, 62, 65, 33, 40, 47, 46, 49, 56, 59, 62, 37, 44, 47, 45, 48, 54, 57, 60, 44, 46, 51, 51, 53, 59, 60, 61, 48, 46, 53, 56, 58, 64, 64, 64, 49, 45, 53, 58, 62, 67, 70, 68, 51, 47, 54, 60, 65, 71, 73, 72, 54, 49, 55, 62, 70, 77, 77, 76, 57, 51, 56, 64, 73, 82, 83, 81, 60, 53, 58, 65, 75, 85, 89, 85, 64, 57, 61, 68, 78, 89, 93, 89, 66, 59, 63, 69, 79, 91, 94, 93, 68, 61, 63, 71, 79, 87, 96, 98, 70, 63, 63, 70, 80, 89, 97, 100, 72, 65, 63, 69, 77, 86, 95, 102}}, {{32, 31, 35, 44, 53, 65, 82, 90, 31, 32, 34, 41, 50, 61, 76, 85, 31, 33, 35, 42, 49, 59, 73, 81, 32, 34, 37, 42, 49, 58, 71, 79, 34, 35, 41, 48, 54, 63, 76, 81, 36, 36, 46, 54, 60, 68, 80, 87, 41, 40, 49, 60, 67, 76, 88, 93, 47, 44, 53, 66, 75, 84, 97, 101, 53, 50, 57, 71, 82, 92, 106, 108, 58, 54, 61, 75, 87, 98, 112, 116, 65, 59, 66, 79, 92, 105, 120, 124, 74, 67, 73, 86, 100, 113, 131, 134, 82, 73, 79, 92, 105, 120, 139, 142, 87, 78, 83, 96, 110, 125, 144, 153, 92, 83, 84, 97, 114, 132, 150, 157, 97, 88, 86, 97, 111, 128, 147, 163}, {32, 33, 45, 49, 52, 57, 64, 68, 31, 34, 45, 46, 49, 53, 60, 64, 33, 37, 46, 45, 47, 51, 57, 61, 37, 43, 47, 45, 47, 50, 55, 59, 42, 44, 49, 49, 50, 53, 58, 60, 49, 47, 52, 53, 54, 57, 61, 63, 48, 46, 51, 57, 59, 61, 66, 67, 50, 46, 52, 59, 63, 66, 71, 71, 52, 47, 53, 61, 66, 71, 75, 74, 54, 49, 54, 62, 68, 73, 79, 79, 57, 51, 55, 64, 70, 76, 83, 83, 61, 55, 58, 66, 73, 80, 87, 87, 64, 57, 60, 68, 75, 83, 91, 91, 66, 59, 61, 69, 77, 84, 93, 95, 68, 61, 61, 68, 77, 86, 94, 97, 70, 63, 61, 67, 75, 83, 92, 98}}, {{32, 31, 33, 40, 51, 65, 79, 87, 31, 32, 33, 39, 49, 61, 74, 82, 31, 32, 34, 38, 47, 59, 71, 79, 32, 33, 36, 40, 48, 58, 69, 77, 33, 34, 38, 44, 52, 62, 72, 78, 36, 35, 42, 51, 58, 68, 78, 84, 39, 38, 44, 54, 63, 73, 84, 89, 44, 41, 46, 59, 69, 79, 90, 96, 48, 45, 50, 62, 74, 85, 96, 103, 53, 49, 53, 66, 79, 92, 103, 111, 58, 54, 57, 70, 84, 98, 110, 118, 66, 60, 63, 75, 90, 106, 119, 126, 74, 67, 69, 81, 97, 113, 128, 134, 81, 73, 75, 86, 102, 120, 135, 143, 86, 78, 78, 90, 106, 124, 140, 147, 91, 82, 80, 90, 103, 119, 137, 151}, {32, 32, 40, 49, 51, 57, 63, 67, 31, 33, 41, 47, 49, 54, 59, 63, 31, 35, 43, 46, 47, 51, 57, 60, 35, 39, 46, 46, 47, 50, 55, 58, 41, 43, 48, 49, 49, 52, 57, 59, 49, 47, 50, 53, 54, 57, 60, 62, 48, 46, 49, 54, 57, 60, 64, 65, 49, 45, 48, 56, 61, 64, 67, 69, 50, 46, 49, 57, 63, 67, 71, 73, 52, 48, 50, 58, 65, 71, 75, 77, 54, 50, 51, 59, 67, 73, 78, 81, 57, 52, 53, 61, 69, 77, 82, 85, 61, 55, 56, 63, 72, 80, 86, 88, 64, 58, 58, 65, 73, 82, 89, 92, 66, 59, 59, 66, 75, 84, 91, 94, 68, 61, 59, 65, 72, 81, 89, 95}}, {{32, 31, 32, 36, 44, 53, 65, 79, 31, 32, 32, 35, 42, 51, 62, 75, 31, 32, 33, 34, 41, 49, 59, 72, 32, 32, 34, 36, 42, 50, 59, 71, 32, 33, 35, 38, 42, 49, 58, 69, 34, 34, 37, 42, 48, 54, 63, 73, 36, 34, 38, 48, 54, 60, 68, 78, 39, 37, 40, 50, 58, 65, 73, 84, 44, 41, 43, 53, 63, 71, 79, 90, 48, 45, 46, 56, 67, 76, 85, 96, 53, 49, 50, 60, 71, 82, 92, 103, 58, 54, 54, 63, 75, 87, 98, 110, 65, 60, 58, 68, 79, 92, 105, 118, 71, 65, 63, 73, 84, 97, 111, 125, 79, 72, 70, 79, 90, 104, 118, 133, 82, 75, 72, 81, 92, 106, 121, 136}, {32, 31, 37, 48, 49, 52, 57, 63, 31, 31, 38, 47, 47, 50, 54, 60, 30, 32, 40, 46, 45, 48, 52, 57, 33, 36, 43, 47, 46, 47, 51, 56, 37, 40, 47, 47, 45, 47, 50, 54, 42, 43, 47, 50, 49, 50, 53, 57, 49, 46, 48, 53, 53, 54, 57, 60, 48, 46, 47, 53, 56, 57, 60, 64, 49, 45, 46, 53, 58, 61, 64, 67, 50, 46, 46, 54, 59, 64, 67, 71, 52, 48, 47, 54, 61, 66, 71, 75, 54, 50, 49, 55, 62, 68, 73, 78, 57, 52, 50, 56, 64, 70, 76, 82, 60, 54, 52, 58, 65, 72, 79, 85, 63, 57, 55, 60, 67, 75, 82, 89, 64, 59, 56, 61, 68, 75, 83, 90}}, {{32, 31, 32, 36, 44, 53, 62, 73, 31, 32, 32, 35, 42, 51, 59, 69, 31, 32, 33, 34, 41, 49, 57, 66, 32, 32, 34, 36, 42, 50, 57, 65, 32, 33, 35, 38, 42, 49, 56, 64, 34, 34, 37, 42, 48, 54, 61, 69, 35, 34, 38, 47, 52, 59, 65, 73, 38, 36, 40, 49, 56, 63, 69, 77, 41, 39, 41, 51, 60, 67, 74, 81, 44, 42, 43, 54, 64, 72, 79, 86, 48, 45, 46, 56, 67, 76, 83, 91, 53, 49, 50, 60, 71, 82, 90, 99, 58, 54, 54, 63, 75, 87, 95, 105, 65, 60, 58, 68, 79, 92, 102, 112, 71, 65, 63, 73, 84, 97, 108, 119, 79, 72, 70, 79, 90, 104, 115, 127}, {32, 31, 37, 48, 49, 52, 56, 61, 31, 31, 38, 47, 47, 50, 53, 57, 30, 32, 40, 46, 45, 48, 51, 55, 33, 36, 43, 47, 46, 47, 50, 54, 37, 40, 47, 47, 45, 47, 49, 52, 42, 43, 47, 50, 49, 50, 53, 56, 47, 46, 48, 52, 53, 53, 55, 58, 48, 46, 47, 53, 55, 56, 58, 61, 48, 45, 46, 53, 57, 59, 61, 63, 49, 45, 46, 53, 58, 62, 64, 66, 50, 46, 46, 54, 59, 64, 66, 69, 52, 48, 47, 54, 61, 66, 70, 73, 54, 50, 49, 55, 62, 68, 72, 76, 57, 52, 50, 56, 64, 70, 75, 79, 60, 54, 52, 58, 65, 72, 77, 82, 63, 57, 55, 60, 67, 75, 80, 86}}, {{32, 31, 32, 35, 39, 44, 53, 65, 31, 32, 32, 35, 38, 42, 51, 62, 31, 32, 33, 34, 37, 41, 49, 59, 31, 32, 34, 35, 38, 42, 49, 59, 32, 32, 34, 36, 39, 42, 49, 58, 32, 33, 35, 37, 40, 42, 49, 58, 34, 34, 37, 41, 44, 48, 54, 63, 36, 34, 38, 46, 50, 54, 60, 68, 38, 37, 40, 47, 52, 57, 64, 72, 41, 39, 41, 49, 54, 60, 67, 76, 44, 41, 43, 51, 57, 63, 71, 79, 48, 45, 46, 54, 60, 67, 76, 85, 53, 49, 50, 57, 64, 71, 82, 92, 57, 53, 53, 60, 67, 74, 86, 97, 61, 56, 56, 63, 69, 77, 89, 100, 65, 60, 58, 66, 72, 79, 92, 105}, {32, 31, 37, 45, 48, 49, 52, 57, 31, 31, 38, 45, 47, 47, 50, 54, 30, 32, 40, 44, 45, 45, 48, 52, 33, 35, 42, 46, 46, 45, 47, 51, 35, 37, 44, 46, 46, 45, 47, 51, 37, 40, 47, 47, 47, 45, 47, 50, 42, 43, 47, 49, 50, 49, 50, 53, 49, 46, 48, 52, 53, 53, 54, 57, 48, 46, 47, 51, 54, 55, 57, 59, 48, 45, 46, 51, 54, 57, 59, 61, 49, 45, 46, 51, 55, 58, 61, 64, 50, 46, 46, 52, 56, 59, 64, 67, 52, 48, 47, 53, 57, 61, 66, 71, 54, 49, 48, 54, 58, 62, 68, 73, 55, 51, 49, 54, 58, 63, 69, 74, 57, 52, 50, 55, 59, 64, 70, 76}}, {{32, 31, 32, 32, 36, 44, 47, 53, 31, 32, 32, 33, 35, 42, 45, 51, 31, 32, 32, 33, 35, 41, 44, 49, 31, 32, 33, 33, 35, 41, 44, 49, 32, 32, 34, 34, 36, 42, 45, 50, 32, 33, 35, 36, 38, 42, 45, 49, 32, 33, 35, 36, 40, 44, 47, 51, 34, 34, 36, 38, 42, 48, 50, 54, 36, 34, 37, 40, 48, 54, 56, 60, 38, 36, 39, 41, 49, 56, 58, 63, 39, 37, 40, 42, 50, 58, 60, 65, 44, 41, 42, 45, 53, 63, 66, 71, 47, 44, 45, 47, 56, 66, 69, 75, 49, 46, 47, 48, 57, 67, 71, 77, 53, 49, 50, 51, 60, 71, 75, 82, 58, 54, 54, 55, 63, 75, 79, 87}, {32, 31, 35, 38, 48, 49, 50, 52, 31, 31, 37, 40, 47, 47, 48, 50, 30, 32, 38, 40, 46, 45, 46, 48, 31, 33, 38, 41, 46, 45, 46, 48, 33, 36, 41, 44, 47, 46, 46, 47, 37, 40, 45, 47, 47, 45, 46, 47, 39, 41, 46, 47, 48, 47, 47, 48, 42, 43, 46, 48, 50, 49, 50, 50, 49, 46, 48, 49, 53, 53, 54, 54, 48, 46, 47, 48, 53, 55, 55, 56, 48, 46, 46, 48, 53, 56, 56, 57, 49, 45, 45, 47, 53, 58, 59, 61, 50, 46, 46, 48, 54, 59, 61, 63, 51, 47, 47, 48, 54, 60, 61, 64, 52, 48, 47, 48, 54, 61, 63, 66, 54, 50, 49, 50, 55, 62, 65, 68}}, {{32, 31, 31, 32, 35, 36, 44, 47, 31, 32, 32, 32, 35, 35, 42, 45, 31, 32, 32, 32, 34, 35, 41, 45, 31, 32, 32, 33, 34, 34, 41, 44, 31, 32, 33, 34, 35, 36, 42, 44, 32, 32, 33, 34, 36, 36, 42, 45, 32, 33, 34, 35, 37, 38, 42, 45, 32, 33, 34, 36, 39, 40, 44, 47, 34, 34, 35, 37, 41, 42, 48, 50, 35, 34, 36, 38, 45, 47, 52, 55, 36, 34, 36, 38, 46, 48, 54, 56, 39, 37, 39, 40, 48, 50, 58, 60, 41, 39, 40, 41, 49, 51, 60, 62, 44, 41, 42, 43, 51, 53, 63, 66, 47, 44, 44, 45, 53, 56, 66, 69, 48, 45, 45, 46, 54, 56, 67, 70}, {32, 31, 33, 37, 45, 48, 49, 50, 31, 31, 34, 38, 45, 47, 47, 48, 31, 32, 34, 39, 45, 46, 46, 47, 30, 32, 35, 40, 44, 46, 45, 46, 33, 35, 37, 42, 46, 47, 45, 46, 33, 36, 38, 43, 46, 47, 46, 46, 37, 40, 43, 47, 47, 47, 45, 46, 39, 41, 43, 47, 48, 48, 47, 47, 42, 43, 44, 47, 49, 50, 49, 50, 47, 46, 46, 48, 51, 52, 53, 53, 49, 46, 47, 48, 52, 53, 53, 54, 48, 46, 46, 47, 51, 53, 56, 56, 48, 45, 46, 46, 51, 53, 57, 57, 49, 45, 45, 46, 51, 53, 58, 59, 50, 46, 46, 46, 52, 54, 59, 61, 50, 46, 46, 46, 52, 54, 59, 61}}, {{32, 31, 31, 32, 32, 36, 36, 44, 31, 32, 32, 32, 32, 35, 35, 42, 31, 32, 32, 32, 32, 35, 35, 42, 31, 32, 32, 33, 33, 34, 34, 41, 31, 32, 32, 33, 33, 34, 34, 41, 32, 32, 32, 34, 34, 36, 36, 42, 32, 32, 32, 34, 34, 36, 36, 42, 32, 33, 33, 35, 35, 38, 38, 42, 32, 33, 33, 35, 35, 38, 38, 42, 34, 34, 34, 37, 37, 42, 42, 48, 34, 34, 34, 37, 37, 42, 42, 48, 36, 34, 34, 38, 38, 48, 48, 54, 36, 34, 34, 38, 38, 48, 48, 54, 39, 37, 37, 40, 40, 50, 50, 58, 39, 37, 37, 40, 40, 50, 50, 58, 44, 41, 41, 43, 43, 53, 53, 63}, {32, 31, 31, 37, 37, 48, 48, 49, 31, 31, 31, 38, 38, 47, 47, 47, 31, 31, 31, 38, 38, 47, 47, 47, 30, 32, 32, 40, 40, 46, 46, 45, 30, 32, 32, 40, 40, 46, 46, 45, 33, 36, 36, 43, 43, 47, 47, 46, 33, 36, 36, 43, 43, 47, 47, 46, 37, 40, 40, 47, 47, 47, 47, 45, 37, 40, 40, 47, 47, 47, 47, 45, 42, 43, 43, 47, 47, 50, 50, 49, 42, 43, 43, 47, 47, 50, 50, 49, 49, 46, 46, 48, 48, 53, 53, 53, 49, 46, 46, 48, 48, 53, 53, 53, 48, 46, 46, 47, 47, 53, 53, 56, 48, 46, 46, 47, 47, 53, 53, 56, 49, 45, 45, 46, 46, 53, 53, 58}}, {{32, 31, 31, 31, 32, 32, 35, 36, 31, 32, 32, 32, 32, 32, 35, 35, 31, 32, 32, 32, 32, 32, 35, 35, 31, 32, 32, 32, 32, 32, 34, 35, 31, 32, 32, 32, 33, 33, 34, 34, 31, 32, 32, 32, 33, 33, 34, 34, 31, 32, 32, 33, 34, 34, 35, 36, 32, 32, 32, 33, 34, 34, 36, 36, 32, 32, 32, 33, 34, 34, 36, 37, 32, 32, 33, 34, 35, 35, 37, 38, 32, 32, 33, 34, 35, 35, 37, 38, 33, 33, 33, 35, 36, 36, 40, 41, 34, 34, 34, 35, 37, 37, 41, 42, 34, 34, 34, 35, 37, 37, 43, 44, 36, 35, 34, 36, 38, 38, 46, 48, 36, 35, 34, 36, 38, 38, 46, 48}, {32, 31, 31, 33, 37, 37, 45, 48, 31, 31, 31, 34, 38, 38, 45, 47, 31, 31, 31, 34, 38, 38, 45, 47, 31, 31, 32, 34, 39, 39, 45, 46, 30, 32, 32, 35, 40, 40, 44, 46, 30, 32, 32, 35, 40, 40, 44, 46, 33, 34, 35, 37, 42, 42, 46, 47, 33, 35, 36, 38, 43, 43, 46, 47, 35, 37, 37, 40, 44, 44, 46, 47, 37, 39, 40, 43, 47, 47, 47, 47, 37, 39, 40, 43, 47, 47, 47, 47, 41, 42, 42, 44, 47, 47, 49, 49, 42, 42, 43, 44, 47, 47, 49, 50, 44, 44, 44, 45, 47, 47, 50, 51, 49, 47, 46, 47, 48, 48, 52, 53, 49, 47, 46, 47, 48, 48, 52, 53}}, {{32, 31, 31, 31, 31, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 33, 31, 32, 32, 32, 32, 32, 32, 33, 31, 32, 32, 32, 32, 32, 32, 33, 31, 32, 32, 32, 32, 32, 32, 33, 31, 32, 32, 32, 32, 33, 33, 33, 31, 32, 32, 32, 32, 33, 33, 33, 31, 32, 32, 32, 32, 33, 33, 33, 31, 32, 32, 32, 33, 34, 34, 34, 32, 32, 32, 32, 33, 34, 34, 34, 32, 32, 32, 32, 33, 34, 34, 34, 32, 32, 32, 32, 33, 35, 35, 35, 32, 32, 33, 33, 34, 35, 35, 36, 32, 32, 33, 33, 34, 35, 35, 36, 32, 33, 33, 33, 34, 36, 36, 36, 34, 34, 34, 34, 35, 37, 37, 38}, {32, 31, 31, 31, 33, 37, 37, 38, 31, 31, 31, 31, 33, 38, 38, 39, 31, 31, 31, 31, 34, 38, 38, 40, 31, 31, 31, 31, 34, 38, 38, 40, 31, 31, 32, 32, 34, 39, 39, 40, 30, 31, 32, 32, 35, 40, 40, 41, 30, 31, 32, 32, 35, 40, 40, 41, 31, 32, 33, 33, 35, 40, 40, 41, 33, 34, 35, 35, 37, 42, 42, 43, 33, 35, 36, 36, 38, 43, 43, 44, 33, 35, 36, 36, 38, 43, 43, 44, 35, 37, 38, 38, 41, 45, 45, 46, 37, 39, 40, 40, 43, 47, 47, 47, 37, 39, 40, 40, 43, 47, 47, 47, 39, 40, 41, 41, 43, 47, 47, 47, 42, 42, 43, 43, 44, 47, 47, 48}}, {{32, 31, 31, 31, 31, 31, 31, 32, 31, 31, 31, 31, 31, 31, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 33, 33, 31, 32, 32, 32, 32, 32, 33, 33, 32, 32, 32, 32, 32, 32, 33, 34, 32, 32, 32, 32, 32, 32, 33, 34, 32, 32, 32, 32, 32, 32, 33, 34}, {32, 31, 31, 31, 31, 31, 33, 35, 31, 31, 31, 31, 31, 31, 33, 36, 31, 31, 31, 31, 31, 31, 34, 36, 31, 31, 31, 31, 31, 31, 34, 37, 31, 31, 31, 31, 31, 31, 34, 37, 31, 31, 31, 31, 31, 31, 34, 37, 31, 31, 31, 32, 32, 32, 34, 37, 30, 31, 31, 32, 32, 32, 34, 38, 30, 31, 32, 32, 32, 32, 35, 38, 30, 31, 32, 32, 32, 32, 35, 38, 30, 31, 32, 32, 32, 32, 35, 38, 31, 32, 33, 33, 33, 33, 36, 39, 33, 34, 34, 35, 35, 35, 37, 40, 33, 34, 35, 36, 36, 36, 38, 41, 33, 34, 35, 36, 36, 36, 38, 41, 33, 34, 35, 36, 36, 36, 38, 41}}, {{32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 31, 31, 31, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32}, {32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 31, 31, 31, 31, 31, 32, 32, 32, 30, 31, 31, 31, 31, 32, 32, 32, 30, 31, 31, 31, 32, 32, 32, 32}}}; constexpr uint8_t kQuantizerMatrix8x32 [kNumQuantizerLevelsForQuantizerMatrix][kNumPlaneTypes][256] = { {{32, 32, 36, 53, 65, 87, 93, 99, 31, 32, 35, 51, 62, 82, 88, 94, 31, 33, 34, 49, 59, 78, 86, 93, 31, 33, 35, 49, 59, 78, 84, 90, 32, 34, 36, 50, 59, 77, 82, 89, 32, 35, 38, 49, 58, 75, 82, 89, 34, 37, 42, 54, 63, 79, 80, 88, 35, 37, 45, 57, 65, 82, 84, 87, 36, 38, 48, 60, 68, 84, 86, 90, 39, 40, 50, 65, 73, 89, 91, 93, 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62, 42, 47, 50, 50, 53, 60, 59, 62, 45, 47, 51, 52, 55, 61, 61, 61, 49, 48, 53, 54, 57, 62, 62, 62, 48, 47, 53, 57, 60, 66, 65, 64, 49, 46, 53, 61, 64, 69, 66, 66, 49, 46, 53, 62, 65, 71, 68, 67, 50, 46, 54, 64, 67, 73, 72, 70, 52, 47, 54, 66, 71, 77, 73, 71, 54, 49, 55, 68, 73, 80, 76, 75, 55, 49, 56, 69, 75, 82, 79, 76, 57, 50, 56, 70, 76, 84, 80, 79, 60, 52, 58, 72, 79, 88, 84, 81, 63, 55, 60, 75, 82, 92, 87, 84, 64, 55, 61, 75, 82, 92, 89, 86, 64, 56, 61, 75, 83, 93, 93, 89, 67, 58, 63, 76, 85, 95, 94, 91, 68, 59, 64, 74, 86, 94, 98, 94, 69, 60, 65, 72, 85, 95, 99, 97, 70, 62, 66, 73, 83, 96, 99, 98, 71, 63, 67, 74, 82, 93, 102, 102, 72, 64, 66, 75, 83, 92, 101, 104, 73, 65, 66, 75, 84, 93, 102, 106, 74, 67, 66, 74, 84, 94, 103, 106, 75, 68, 66, 74, 83, 93, 103, 109, 76, 69, 67, 73, 82, 91, 101, 109, 77, 70, 67, 73, 81, 90, 99, 108}}, {{32, 32, 36, 47, 65, 79, 90, 96, 31, 32, 35, 45, 62, 75, 86, 91, 31, 32, 35, 44, 60, 72, 84, 90, 31, 33, 35, 44, 59, 71, 82, 87, 32, 34, 36, 45, 59, 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31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 31, 31, 31, 31, 31, 32, 32, 32, 31, 31, 31, 31, 31, 32, 32, 32, 31, 31, 31, 31, 31, 32, 32, 32, 30, 31, 31, 31, 31, 32, 32, 32, 30, 31, 31, 31, 31, 32, 32, 32, 30, 31, 31, 31, 32, 32, 32, 32, 30, 31, 31, 31, 32, 32, 32, 32, 30, 31, 31, 31, 32, 32, 32, 32}}}; constexpr uint8_t kQuantizerMatrix16x32 [kNumQuantizerLevelsForQuantizerMatrix][kNumPlaneTypes][512] = { {{32, 31, 32, 34, 36, 44, 53, 59, 65, 79, 87, 90, 93, 96, 99, 102, 31, 32, 32, 34, 35, 42, 51, 56, 62, 75, 82, 85, 88, 91, 94, 97, 31, 32, 33, 33, 34, 41, 49, 54, 59, 72, 78, 82, 86, 90, 93, 97, 31, 32, 33, 34, 35, 41, 49, 54, 59, 71, 78, 81, 84, 87, 90, 93, 32, 32, 34, 35, 36, 42, 50, 54, 59, 71, 77, 80, 82, 86, 89, 93, 32, 33, 35, 37, 38, 42, 49, 53, 58, 69, 75, 78, 82, 86, 89, 92, 34, 34, 37, 39, 42, 48, 54, 58, 63, 73, 79, 78, 80, 83, 88, 92, 35, 34, 37, 41, 45, 50, 57, 61, 65, 76, 82, 83, 84, 84, 87, 90, 36, 34, 38, 43, 48, 54, 60, 64, 68, 78, 84, 87, 86, 89, 90, 90, 39, 37, 40, 45, 50, 58, 65, 69, 73, 84, 89, 89, 91, 91, 93, 96, 44, 41, 43, 48, 53, 63, 71, 75, 79, 90, 95, 93, 94, 95, 97, 97, 46, 43, 44, 49, 55, 65, 73, 78, 82, 93, 98, 100, 98, 100, 99, 103, 48, 45, 46, 51, 56, 67, 76, 80, 85, 96, 102, 102, 105, 102, 105, 104, 53, 49, 50, 54, 60, 71, 82, 87, 92, 103, 109, 107, 107, 110, 107, 111, 58, 54, 54, 58, 63, 75, 87, 92, 98, 110, 116, 115, 112, 111, 115, 112, 61, 57, 56, 60, 66, 77, 89, 95, 101, 114, 120, 118, 119, 118, 116, 120, 65, 60, 58, 63, 68, 79, 92, 98, 105, 118, 124, 123, 122, 123, 124, 121, 71, 65, 63, 68, 73, 84, 97, 103, 111, 125, 132, 132, 130, 128, 127, 130, 79, 72, 70, 74, 79, 90, 104, 110, 118, 133, 141, 136, 135, 135, 135, 131, 81, 74, 71, 75, 80, 91, 105, 112, 119, 135, 142, 140, 140, 138, 139, 142, 82, 75, 72, 76, 81, 92, 106, 113, 121, 136, 144, 151, 149, 149, 146, 143, 88, 80, 77, 80, 85, 97, 108, 115, 126, 142, 149, 153, 153, 152, 152, 154, 91, 83, 80, 81, 88, 100, 106, 114, 130, 142, 148, 155, 162, 160, 159, 155, 94, 85, 83, 82, 91, 100, 105, 118, 131, 137, 153, 160, 165, 167, 166, 168, 97, 88, 86, 85, 94, 100, 107, 123, 128, 140, 157, 161, 167, 173, 171, 169, 100, 91, 89, 87, 97, 100, 111, 121, 127, 145, 152, 164, 173, 178, 182, 181, 103, 94, 93, 90, 98, 101, 114, 120, 131, 144, 150, 170, 174, 180, 186, 183, 107, 97, 96, 93, 100, 104, 117, 119, 136, 142, 155, 168, 177, 187, 191, 198, 110, 101, 100, 97, 101, 108, 117, 123, 138, 141, 161, 165, 183, 188, 193, 200, 114, 104, 104, 100, 103, 112, 117, 127, 137, 146, 159, 167, 185, 190, 201, 206, 118, 108, 107, 103, 105, 115, 118, 131, 136, 151, 157, 172, 182, 197, 203, 208, 122, 111, 111, 107, 107, 119, 119, 136, 136, 156, 156, 178, 179, 203, 204, 217}, {32, 31, 37, 42, 48, 49, 52, 54, 57, 63, 66, 67, 68, 69, 71, 72, 31, 31, 38, 42, 47, 47, 50, 52, 54, 60, 63, 64, 65, 66, 67, 68, 30, 32, 40, 42, 46, 45, 48, 50, 52, 57, 60, 62, 63, 65, 66, 68, 32, 34, 41, 44, 46, 45, 48, 49, 51, 57, 59, 61, 62, 63, 64, 65, 33, 36, 43, 45, 47, 46, 47, 49, 51, 56, 59, 60, 60, 62, 63, 65, 37, 40, 47, 47, 47, 45, 47, 48, 50, 54, 57, 58, 60, 61, 62, 63, 42, 43, 47, 48, 50, 49, 50, 52, 53, 57, 60, 58, 59, 60, 62, 63, 45, 44, 47, 49, 51, 51, 52, 54, 55, 59, 61, 61, 61, 60, 61, 61, 49, 46, 48, 50, 53, 53, 54, 55, 57, 60, 62, 63, 62, 63, 62, 62, 48, 46, 47, 50, 53, 56, 57, 59, 60, 64, 66, 65, 65, 64, 64, 65, 49, 45, 46, 49, 53, 58, 61, 62, 64, 67, 69, 67, 66, 66, 66, 65, 49, 46, 46, 49, 53, 59, 62, 64, 65, 69, 71, 70, 68, 68, 67, 68, 50, 46, 46, 50, 54, 59, 64, 65, 67, 71, 73, 72, 72, 70, 70, 69, 52, 48, 47, 50, 54, 61, 66, 68, 71, 75, 77, 74, 73, 73, 71, 72, 54, 50, 49, 52, 55, 62, 68, 71, 73, 78, 80, 78, 76, 74, 75, 73, 55, 51, 49, 52, 56, 63, 69, 72, 75, 80, 82, 80, 79, 78, 76, 77, 57, 52, 50, 53, 56, 64, 70, 73, 76, 82, 84, 82, 80, 80, 79, 77, 60, 54, 52, 55, 58, 65, 72, 75, 79, 85, 88, 86, 84, 82, 81, 81, 63, 57, 55, 58, 60, 67, 75, 78, 82, 89, 92, 88, 87, 85, 84, 81, 64, 58, 55, 58, 61, 68, 75, 78, 82, 89, 92, 90, 89, 87, 86, 86, 64, 59, 56, 58, 61, 68, 75, 79, 83, 90, 93, 95, 93, 91, 89, 87, 67, 61, 58, 60, 63, 69, 76, 79, 85, 92, 95, 96, 94, 92, 91, 91, 68, 62, 59, 60, 64, 71, 74, 78, 86, 91, 94, 96, 98, 96, 94, 91, 69, 62, 60, 60, 65, 70, 72, 79, 85, 88, 95, 98, 99, 98, 97, 96, 70, 63, 62, 60, 66, 69, 73, 81, 83, 89, 96, 97, 99, 101, 98, 97, 71, 64, 63, 61, 67, 68, 74, 79, 82, 90, 93, 98, 102, 102, 102, 101, 72, 65, 64, 62, 66, 68, 75, 78, 83, 89, 92, 100, 101, 103, 104, 102, 73, 66, 65, 63, 66, 69, 75, 76, 84, 87, 93, 98, 102, 105, 106, 107, 74, 67, 67, 64, 66, 70, 74, 77, 84, 86, 94, 96, 103, 105, 106, 107, 75, 68, 68, 65, 66, 71, 74, 78, 83, 87, 93, 96, 103, 105, 109, 109, 76, 69, 69, 66, 67, 72, 73, 80, 82, 88, 91, 97, 101, 107, 109, 110, 77, 70, 70, 67, 67, 73, 73, 81, 81, 90, 90, 99, 99, 108, 108, 113}}, {{32, 31, 32, 32, 36, 44, 47, 53, 65, 73, 79, 87, 90, 93, 96, 99, 31, 32, 32, 33, 35, 42, 45, 51, 62, 69, 75, 83, 86, 88, 91, 94, 31, 32, 32, 33, 35, 41, 44, 49, 60, 67, 72, 80, 84, 87, 90, 94, 31, 32, 33, 33, 35, 41, 44, 49, 59, 66, 71, 79, 82, 84, 87, 90, 32, 32, 34, 34, 36, 42, 45, 50, 59, 65, 71, 78, 80, 83, 87, 90, 32, 33, 35, 36, 38, 42, 45, 49, 58, 64, 69, 76, 80, 83, 86, 88, 32, 33, 35, 36, 40, 44, 47, 51, 60, 66, 71, 76, 78, 81, 85, 89, 34, 34, 36, 38, 42, 48, 50, 54, 63, 69, 73, 80, 82, 81, 84, 86, 36, 34, 37, 40, 48, 54, 56, 60, 68, 74, 78, 84, 83, 86, 87, 87, 38, 36, 39, 41, 49, 56, 58, 63, 71, 77, 81, 86, 88, 88, 90, 93, 39, 37, 40, 42, 50, 58, 60, 65, 73, 79, 84, 90, 91, 92, 94, 93, 44, 41, 42, 45, 53, 63, 66, 71, 79, 85, 90, 96, 94, 96, 96, 99, 47, 44, 45, 47, 56, 66, 69, 75, 84, 90, 95, 99, 101, 98, 101, 99, 49, 46, 47, 48, 57, 67, 71, 77, 86, 93, 97, 103, 103, 105, 102, 106, 53, 49, 50, 51, 60, 71, 75, 82, 92, 99, 103, 111, 108, 107, 110, 107, 58, 54, 54, 55, 63, 75, 79, 87, 98, 105, 110, 114, 114, 113, 111, 115, 61, 56, 56, 57, 65, 77, 81, 89, 100, 107, 113, 118, 116, 117, 118, 116, 65, 60, 59, 60, 68, 79, 84, 92, 105, 112, 118, 126, 124, 122, 121, 124, 71, 65, 64, 65, 73, 84, 89, 97, 111, 119, 125, 130, 129, 129, 129, 125, 76, 69, 68, 69, 76, 88, 92, 101, 115, 123, 130, 134, 134, 131, 132, 135, 79, 72, 70, 71, 79, 90, 95, 104, 118, 127, 133, 143, 142, 141, 138, 136, 82, 75, 73, 74, 81, 92, 97, 106, 121, 130, 136, 146, 145, 144, 144, 145, 86, 78, 76, 77, 84, 95, 100, 109, 124, 133, 140, 147, 153, 151, 150, 146, 89, 81, 79, 78, 87, 95, 99, 112, 124, 130, 145, 152, 156, 157, 156, 158, 92, 84, 82, 80, 89, 95, 101, 116, 121, 132, 148, 151, 157, 163, 161, 159, 95, 86, 85, 83, 92, 95, 105, 114, 120, 136, 143, 155, 163, 167, 171, 170, 98, 89, 88, 85, 93, 95, 108, 113, 124, 136, 141, 160, 163, 169, 174, 171, 101, 92, 91, 88, 94, 98, 110, 112, 128, 133, 146, 158, 166, 175, 179, 185, 104, 95, 94, 91, 95, 101, 110, 115, 129, 132, 151, 154, 171, 175, 181, 186, 107, 98, 97, 94, 96, 105, 110, 119, 128, 136, 149, 156, 173, 177, 188, 192, 110, 101, 100, 97, 98, 108, 111, 123, 127, 141, 147, 161, 169, 183, 188, 193, 114, 104, 104, 100, 100, 111, 111, 126, 127, 145, 145, 166, 166, 189, 190, 201}, {32, 31, 35, 38, 48, 49, 50, 52, 57, 61, 63, 67, 68, 69, 70, 71, 31, 31, 37, 40, 47, 47, 48, 50, 54, 57, 60, 63, 64, 65, 66, 67, 30, 32, 38, 40, 46, 45, 46, 48, 52, 55, 58, 61, 63, 64, 65, 67, 31, 33, 38, 41, 46, 45, 46, 48, 52, 55, 57, 60, 61, 62, 63, 64, 33, 36, 41, 44, 47, 46, 46, 47, 51, 54, 56, 59, 60, 61, 63, 64, 37, 40, 45, 47, 47, 45, 46, 47, 50, 52, 54, 57, 59, 61, 62, 62, 39, 41, 46, 47, 48, 47, 47, 48, 51, 54, 55, 57, 58, 59, 61, 62, 42, 43, 46, 48, 50, 49, 50, 50, 53, 56, 57, 60, 60, 59, 60, 60, 49, 46, 48, 49, 53, 53, 54, 54, 57, 59, 60, 63, 61, 62, 61, 61, 48, 46, 47, 48, 53, 55, 55, 56, 58, 61, 62, 64, 64, 63, 63, 64, 48, 46, 46, 48, 53, 56, 56, 57, 60, 62, 64, 66, 65, 65, 65, 64, 49, 45, 45, 47, 53, 58, 59, 61, 64, 66, 67, 69, 67, 67, 66, 67, 50, 46, 46, 48, 54, 59, 61, 63, 66, 68, 70, 71, 71, 68, 69, 67, 51, 47, 47, 48, 54, 60, 61, 64, 68, 70, 71, 73, 72, 72, 70, 71, 52, 48, 47, 48, 54, 61, 63, 66, 71, 73, 75, 77, 75, 73, 74, 71, 54, 50, 49, 50, 55, 62, 65, 68, 73, 76, 78, 79, 78, 76, 74, 75, 55, 51, 49, 50, 56, 63, 65, 69, 74, 77, 79, 81, 79, 78, 78, 75, 57, 52, 50, 51, 56, 64, 66, 70, 76, 79, 82, 85, 83, 81, 79, 79, 60, 54, 53, 53, 58, 65, 68, 72, 79, 82, 85, 87, 85, 84, 82, 80, 62, 56, 54, 55, 60, 66, 69, 74, 81, 84, 87, 88, 87, 85, 84, 84, 63, 57, 55, 56, 60, 67, 70, 75, 82, 86, 89, 92, 91, 89, 87, 84, 64, 59, 56, 57, 61, 68, 71, 75, 83, 87, 90, 93, 92, 90, 89, 89, 66, 60, 58, 58, 62, 69, 72, 76, 84, 88, 91, 94, 95, 93, 91, 89, 67, 61, 59, 58, 63, 68, 71, 78, 83, 86, 93, 96, 96, 96, 94, 94, 68, 62, 60, 59, 64, 67, 71, 79, 81, 86, 94, 95, 97, 98, 96, 94, 69, 63, 61, 60, 65, 66, 72, 77, 80, 88, 91, 96, 99, 99, 100, 98, 70, 64, 62, 60, 65, 66, 73, 76, 81, 87, 89, 97, 98, 100, 101, 99, 71, 65, 64, 61, 65, 67, 73, 74, 82, 85, 90, 95, 99, 102, 103, 104, 72, 65, 65, 62, 65, 68, 72, 75, 82, 83, 92, 93, 100, 102, 103, 104, 73, 66, 66, 63, 65, 69, 72, 76, 81, 85, 90, 93, 100, 102, 105, 106, 74, 67, 67, 64, 65, 70, 71, 77, 79, 86, 89, 94, 98, 103, 105, 106, 75, 68, 68, 65, 65, 71, 71, 78, 78, 87, 87, 96, 96, 105, 105, 109}}, {{32, 31, 32, 32, 36, 39, 44, 53, 58, 65, 79, 81, 88, 90, 93, 96, 31, 32, 32, 32, 35, 38, 42, 51, 55, 62, 75, 77, 83, 86, 88, 91, 31, 32, 32, 32, 35, 38, 41, 50, 54, 60, 73, 75, 81, 84, 88, 91, 31, 32, 32, 33, 34, 37, 41, 49, 53, 59, 72, 74, 79, 82, 84, 87, 32, 32, 33, 34, 36, 39, 42, 50, 53, 59, 71, 72, 78, 81, 84, 87, 32, 32, 34, 34, 37, 40, 42, 49, 53, 58, 70, 71, 77, 80, 83, 85, 32, 33, 34, 35, 38, 40, 42, 49, 52, 58, 69, 70, 76, 78, 82, 86, 34, 34, 35, 37, 42, 45, 48, 54, 57, 63, 73, 75, 79, 79, 81, 83, 34, 34, 36, 37, 44, 47, 50, 56, 59, 65, 75, 77, 81, 83, 84, 84, 36, 34, 37, 38, 48, 51, 54, 60, 63, 68, 78, 80, 85, 85, 86, 89, 39, 37, 39, 40, 50, 54, 58, 65, 68, 73, 84, 85, 88, 89, 90, 89, 40, 38, 40, 41, 51, 55, 59, 67, 70, 75, 85, 87, 91, 92, 92, 95, 44, 41, 42, 43, 53, 58, 63, 71, 74, 79, 90, 91, 97, 94, 97, 95, 47, 44, 45, 46, 56, 61, 66, 75, 79, 85, 95, 97, 99, 101, 98, 102, 49, 46, 46, 47, 57, 62, 67, 77, 81, 86, 97, 99, 104, 102, 105, 102, 53, 49, 50, 50, 60, 65, 71, 82, 86, 92, 103, 105, 109, 108, 106, 110, 57, 53, 53, 53, 63, 68, 74, 86, 90, 97, 108, 110, 111, 112, 113, 110, 59, 54, 54, 54, 64, 69, 75, 87, 91, 98, 111, 112, 119, 117, 115, 118, 65, 60, 59, 58, 68, 73, 79, 92, 97, 105, 118, 119, 123, 123, 122, 119, 69, 63, 62, 62, 71, 76, 83, 96, 100, 109, 122, 124, 127, 125, 125, 128, 71, 65, 64, 63, 73, 78, 84, 97, 102, 111, 125, 127, 135, 134, 131, 129, 79, 72, 71, 70, 79, 84, 90, 104, 109, 118, 133, 135, 137, 136, 136, 137, 81, 74, 72, 71, 80, 85, 91, 105, 110, 120, 135, 137, 145, 143, 141, 138, 82, 75, 73, 72, 81, 86, 92, 106, 111, 121, 136, 139, 147, 148, 147, 149, 87, 79, 77, 76, 85, 90, 96, 110, 114, 125, 140, 143, 148, 154, 151, 149, 90, 82, 80, 78, 87, 89, 99, 108, 113, 129, 135, 146, 153, 157, 160, 159, 92, 84, 83, 81, 88, 90, 102, 106, 117, 128, 133, 150, 153, 158, 163, 160, 95, 87, 85, 83, 88, 92, 103, 105, 120, 125, 137, 148, 155, 164, 168, 173, 98, 89, 88, 85, 89, 95, 103, 108, 121, 124, 141, 144, 160, 164, 169, 174, 100, 92, 91, 88, 90, 98, 103, 111, 120, 127, 139, 146, 161, 165, 175, 179, 103, 94, 94, 90, 92, 101, 103, 114, 119, 131, 137, 150, 158, 170, 175, 180, 106, 97, 97, 93, 93, 104, 104, 118, 118, 135, 135, 154, 155, 175, 176, 187}, {32, 31, 34, 37, 48, 48, 49, 52, 54, 57, 63, 64, 67, 68, 69, 69, 31, 31, 35, 38, 47, 47, 47, 50, 51, 54, 60, 61, 63, 64, 65, 66, 31, 32, 36, 39, 46, 46, 46, 48, 50, 53, 58, 59, 62, 63, 65, 66, 30, 32, 36, 40, 46, 45, 45, 48, 49, 52, 57, 58, 60, 61, 62, 63, 33, 36, 40, 43, 47, 46, 46, 47, 49, 51, 56, 57, 59, 60, 62, 63, 35, 38, 42, 45, 47, 46, 45, 47, 48, 50, 55, 56, 58, 60, 61, 61, 37, 40, 44, 47, 47, 46, 45, 47, 48, 50, 54, 55, 57, 58, 60, 61, 42, 43, 45, 47, 50, 50, 49, 50, 51, 53, 57, 58, 59, 58, 59, 59, 44, 44, 46, 47, 51, 51, 51, 52, 53, 54, 59, 59, 60, 61, 61, 60, 49, 46, 47, 48, 53, 53, 53, 54, 55, 57, 60, 61, 63, 62, 62, 63, 48, 46, 46, 47, 53, 54, 56, 57, 58, 60, 64, 64, 64, 64, 64, 63, 48, 45, 46, 46, 53, 55, 56, 58, 59, 61, 65, 65, 66, 66, 65, 66, 49, 45, 45, 46, 53, 56, 58, 61, 62, 64, 67, 68, 70, 67, 68, 66, 50, 46, 46, 46, 54, 56, 59, 63, 65, 66, 70, 71, 70, 71, 68, 70, 51, 47, 47, 47, 54, 57, 60, 64, 65, 68, 71, 72, 73, 71, 72, 70, 52, 48, 47, 47, 54, 57, 61, 66, 68, 71, 75, 75, 76, 75, 73, 73, 54, 49, 49, 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32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 34, 34}, {32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 33, 34, 35, 37, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 33, 34, 35, 37, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 33, 34, 36, 37, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 33, 35, 36, 38, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 34, 35, 36, 38, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 33, 34, 35, 37, 38, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 33, 34, 35, 37, 38, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 33, 34, 35, 37, 38, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 33, 34, 35, 37, 38, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 33, 34, 35, 37, 38, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 33, 34, 35, 37, 38, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 33, 34, 35, 37, 38, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 33, 34, 36, 37, 39, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 33, 34, 36, 37, 39, 30, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 33, 34, 36, 38, 39, 30, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 33, 35, 36, 38, 40, 30, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 33, 35, 36, 38, 40, 30, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 33, 35, 36, 38, 40, 30, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 33, 35, 36, 38, 40, 30, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 33, 35, 36, 38, 40, 30, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 33, 35, 36, 38, 40, 31, 31, 31, 32, 32, 33, 33, 33, 33, 33, 33, 34, 35, 37, 38, 40, 31, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 35, 36, 37, 39, 41, 32, 32, 33, 33, 34, 34, 34, 34, 34, 34, 34, 35, 37, 38, 40, 41, 33, 33, 34, 34, 34, 35, 35, 35, 35, 35, 35, 36, 37, 39, 40, 42, 33, 34, 34, 35, 35, 36, 36, 36, 36, 36, 36, 37, 38, 40, 41, 43, 33, 34, 34, 35, 35, 36, 36, 36, 36, 36, 36, 37, 38, 40, 41, 43, 33, 34, 34, 35, 35, 36, 36, 36, 36, 36, 36, 37, 38, 40, 41, 43, 33, 34, 34, 35, 35, 36, 36, 36, 36, 36, 36, 37, 38, 40, 41, 43, 33, 34, 34, 35, 35, 36, 36, 36, 36, 36, 36, 37, 38, 40, 41, 43, 33, 34, 34, 35, 35, 36, 36, 36, 36, 36, 36, 37, 38, 40, 41, 43, 34, 34, 35, 35, 36, 36, 36, 36, 36, 36, 36, 38, 39, 40, 42, 44}}, {{32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32}, {32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 30, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 30, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 30, 30, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 30, 30, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 30, 30, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32}}}; constexpr uint8_t kQuantizerMatrix4x4[kNumQuantizerLevelsForQuantizerMatrix][kNumPlaneTypes] [10] = {{{32, 43, 67, 73, 94, 137, 97, 110, 150, 200}, {35, 46, 60, 57, 69, 90, 66, 71, 90, 109}}, {{32, 41, 63, 69, 88, 127, 92, 103, 140, 184}, {33, 45, 58, 56, 66, 86, 64, 69, 87, 105}}, {{32, 38, 56, 63, 78, 113, 86, 97, 130, 169}, {32, 45, 55, 53, 62, 80, 63, 67, 84, 101}}, {{32, 37, 54, 58, 72, 102, 81, 91, 121, 156}, {32, 45, 54, 51, 59, 75, 61, 65, 81, 97}}, {{32, 34, 49, 53, 64, 91, 75, 81, 112, 140}, {32, 46, 53, 49, 55, 70, 58, 62, 78, 91}}, {{32, 34, 48, 49, 60, 82, 72, 79, 104, 134}, {32, 46, 53, 47, 54, 66, 57, 60, 75, 89}}, {{32, 33, 39, 45, 51, 71, 62, 64, 87, 108}, {31, 42, 48, 47, 50, 61, 53, 54, 67, 78}}, {{32, 33, 38, 42, 46, 63, 55, 57, 75, 92}, {31, 41, 48, 46, 48, 58, 51, 51, 62, 71}}, {{32, 32, 35, 38, 40, 54, 51, 49, 64, 81}, {31, 38, 47, 47, 46, 54, 49, 46, 57, 66}}, {{32, 32, 34, 35, 37, 48, 43, 43, 54, 65}, {31, 37, 44, 47, 47, 53, 47, 45, 53, 59}}, {{32, 32, 33, 34, 35, 39, 38, 39, 45, 54}, {31, 34, 39, 42, 45, 48, 47, 46, 49, 54}}, {{32, 32, 32, 32, 33, 35, 35, 35, 38, 46}, {31, 32, 34, 38, 41, 47, 46, 46, 47, 52}}, {{31, 32, 32, 32, 32, 33, 32, 33, 34, 35}, {31, 31, 32, 34, 35, 39, 38, 40, 43, 47}}, {{31, 31, 32, 31, 32, 32, 32, 32, 32, 33}, {31, 31, 31, 31, 31, 32, 34, 35, 35, 39}}, {{31, 31, 32, 31, 32, 32, 31, 32, 32, 32}, {31, 31, 31, 31, 31, 31, 31, 31, 31, 31}}}; constexpr uint8_t kQuantizerMatrix8x8 [kNumQuantizerLevelsForQuantizerMatrix][kNumPlaneTypes][36] = { {{32, 32, 35, 38, 40, 54, 51, 49, 65, 82, 68, 63, 78, 97, 117, 84, 76, 91, 111, 134, 152, 95, 89, 98, 113, 138, 159, 183, 109, 102, 106, 121, 142, 168, 199, 220}, {31, 38, 47, 47, 46, 54, 50, 47, 57, 66, 57, 52, 61, 72, 82, 63, 57, 66, 77, 88, 96, 67, 62, 67, 75, 86, 95, 104, 71, 67, 68, 75, 84, 95, 107, 113}}, {{32, 32, 35, 37, 39, 51, 47, 46, 60, 73, 62, 58, 71, 87, 105, 78, 72, 84, 100, 121, 140, 90, 84, 93, 106, 129, 148, 169, 102, 96, 100, 113, 132, 155, 183, 201}, {31, 38, 47, 47, 47, 53, 48, 46, 55, 62, 54, 50, 58, 67, 76, 61, 55, 63, 72, 83, 91, 66, 61, 65, 73, 84, 92, 101, 69, 65, 66, 73, 82, 92, 103, 109}}, {{32, 32, 34, 35, 37, 48, 46, 45, 56, 70, 57, 54, 64, 80, 93, 76, 70, 79, 96, 111, 134, 85, 79, 87, 100, 121, 138, 156, 96, 90, 93, 105, 122, 144, 168, 184}, {31, 36, 43, 47, 47, 53, 48, 46, 54, 61, 52, 49, 55, 65, 71, 60, 55, 60, 70, 78, 89, 64, 59, 63, 71, 81, 89, 97, 67, 63, 64, 71, 79, 89, 99, 104}}, {{32, 32, 33, 35, 36, 46, 42, 42, 52, 63, 53, 51, 60, 73, 86, 68, 64, 72, 84, 100, 117, 78, 74, 80, 92, 109, 128, 140, 90, 84, 87, 98, 114, 133, 155, 168}, {31, 34, 39, 46, 47, 52, 47, 45, 52, 58, 50, 48, 54, 62, 68, 57, 53, 58, 65, 73, 82, 61, 57, 61, 68, 77, 86, 91, 65, 61, 62, 68, 76, 86, 95, 100}}, {{32, 32, 33, 34, 35, 39, 39, 40, 46, 56, 50, 48, 53, 65, 78, 62, 59, 63, 75, 90, 105, 76, 71, 74, 86, 101, 118, 134, 84, 79, 81, 92, 106, 123, 142, 153}, {31, 34, 39, 42, 45, 48, 47, 46, 49, 55, 49, 47, 50, 58, 65, 54, 51, 53, 61, 69, 76, 60, 56, 57, 65, 73, 82, 89, 64, 59, 60, 66, 74, 83, 92, 96}}, {{32, 32, 33, 34, 35, 39, 38, 39, 45, 54, 46, 45, 51, 61, 71, 56, 54, 58, 69, 80, 92, 68, 64, 68, 78, 90, 103, 117, 78, 74, 76, 86, 99, 113, 128, 140}, {31, 34, 39, 42, 45, 48, 47, 46, 49, 54, 48, 46, 50, 56, 61, 52, 49, 52, 58, 65, 71, 57, 53, 55, 61, 68, 75, 82, 61, 57, 58, 64, 71, 79, 86, 91}}, {{31, 32, 32, 32, 33, 35, 35, 35, 38, 48, 42, 41, 43, 54, 63, 51, 49, 49, 59, 71, 81, 59, 56, 56, 66, 77, 89, 98, 69, 65, 64, 73, 85, 97, 108, 119}, {31, 32, 35, 38, 42, 47, 48, 47, 48, 53, 47, 45, 45, 53, 58, 50, 47, 47, 54, 61, 66, 53, 50, 49, 56, 63, 69, 73, 57, 54, 52, 58, 65, 72, 77, 82}}, {{31, 32, 32, 32, 32, 35, 34, 34, 37, 42, 38, 37, 40, 47, 54, 46, 44, 45, 52, 60, 69, 52, 49, 49, 56, 65, 75, 82, 63, 59, 58, 65, 73, 84, 92, 105}, {31, 31, 32, 38, 40, 47, 44, 44, 47, 50, 47, 45, 46, 51, 54, 48, 46, 46, 51, 56, 61, 50, 47, 47, 52, 57, 63, 66, 55, 52, 50, 54, 60, 66, 70, 76}}, {{31, 32, 32, 32, 32, 34, 34, 33, 35, 39, 35, 34, 37, 42, 48, 41, 40, 41, 47, 53, 60, 47, 44, 45, 51, 57, 65, 71, 53, 50, 51, 55, 61, 70, 77, 85}, {31, 31, 32, 35, 36, 41, 42, 42, 45, 48, 48, 46, 47, 50, 53, 47, 45, 45, 49, 53, 57, 49, 46, 46, 50, 54, 59, 61, 51, 48, 48, 51, 54, 60, 64, 68}}, {{31, 31, 32, 32, 32, 33, 32, 32, 34, 35, 34, 34, 35, 37, 41, 37, 36, 38, 39, 45, 51, 43, 41, 42, 42, 49, 56, 63, 47, 44, 45, 46, 52, 59, 67, 71}, {31, 31, 32, 34, 35, 39, 37, 40, 43, 47, 43, 43, 45, 47, 49, 48, 46, 46, 47, 50, 53, 47, 45, 45, 45, 50, 55, 58, 49, 46, 46, 46, 50, 55, 60, 61}}, {{31, 31, 32, 32, 32, 32, 32, 32, 33, 34, 33, 33, 34, 35, 37, 34, 34, 35, 36, 39, 43, 37, 36, 37, 38, 41, 46, 51, 41, 39, 40, 41, 44, 49, 54, 58}, {31, 31, 31, 32, 33, 35, 35, 37, 39, 43, 39, 41, 42, 45, 47, 45, 44, 45, 47, 48, 50, 48, 46, 46, 47, 48, 51, 53, 48, 46, 45, 46, 47, 51, 54, 56}}, {{31, 31, 32, 31, 32, 32, 32, 32, 32, 33, 32, 32, 32, 34, 35, 32, 33, 33, 34, 35, 36, 34, 34, 33, 35, 36, 38, 39, 35, 35, 34, 36, 38, 40, 42, 48}, {31, 31, 31, 30, 31, 32, 34, 34, 35, 39, 36, 37, 39, 42, 46, 39, 40, 41, 44, 47, 47, 42, 42, 42, 45, 47, 48, 48, 48, 47, 46, 47, 47, 49, 50, 53}}, {{31, 31, 32, 31, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 33, 32, 32, 32, 32, 33, 34, 32, 32, 32, 32, 34, 34, 35, 33, 33, 33, 33, 35, 35, 36, 38}, {31, 31, 31, 31, 31, 31, 30, 31, 31, 32, 34, 34, 35, 35, 39, 35, 35, 36, 36, 40, 41, 37, 38, 39, 40, 43, 44, 47, 40, 41, 41, 42, 44, 45, 47, 48}}, {{31, 31, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 32, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 32, 32, 32, 32, 32, 32, 33, 33}, {31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 31, 31, 31, 32, 31, 32, 32, 32, 32, 33, 33, 34, 34, 35, 35, 36, 39, 33, 34, 34, 35, 35, 36, 39, 39}}, {{31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 31, 31, 32, 32, 32, 31, 31, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 31, 31, 32, 32, 32, 32, 32, 32}, {31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 30, 31, 31, 31, 31, 31, 31, 31}}}; constexpr uint8_t kQuantizerMatrix32x32 [kNumQuantizerLevelsForQuantizerMatrix][kNumPlaneTypes][528] = { {{32, 31, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 33, 33, 32, 32, 32, 33, 34, 35, 34, 34, 33, 34, 35, 37, 39, 35, 34, 34, 35, 36, 37, 41, 43, 36, 35, 34, 35, 36, 38, 42, 45, 48, 39, 38, 37, 38, 39, 40, 45, 47, 50, 54, 44, 42, 41, 41, 42, 42, 47, 50, 54, 58, 63, 46, 44, 42, 43, 44, 44, 49, 52, 55, 59, 65, 67, 48, 46, 44, 45, 45, 46, 51, 53, 57, 61, 67, 69, 71, 54, 51, 49, 49, 50, 49, 54, 57, 60, 65, 71, 74, 76, 82, 59, 56, 54, 54, 54, 53, 58, 61, 64, 69, 75, 78, 80, 87, 92, 62, 59, 56, 56, 56, 55, 60, 63, 66, 71, 77, 80, 83, 89, 95, 98, 65, 62, 59, 59, 59, 58, 63, 65, 68, 73, 79, 82, 85, 92, 98, 101, 105, 71, 68, 65, 64, 64, 63, 68, 70, 73, 78, 84, 87, 90, 97, 103, 107, 111, 117, 80, 76, 72, 72, 71, 69, 74, 76, 79, 84, 90, 93, 96, 104, 110, 114, 118, 125, 134, 81, 77, 73, 73, 72, 70, 75, 77, 80, 85, 91, 94, 97, 105, 111, 115, 119, 126, 135, 137, 83, 78, 75, 74, 74, 72, 76, 79, 81, 86, 92, 95, 99, 106, 113, 117, 121, 128, 137, 138, 140, 88, 84, 80, 79, 78, 76, 80, 82, 85, 91, 95, 98, 103, 111, 115, 119, 126, 134, 139, 144, 147, 152, 91, 86, 83, 82, 81, 79, 81, 84, 88, 92, 95, 100, 107, 110, 115, 123, 127, 132, 140, 147, 151, 154, 159, 94, 89, 86, 85, 84, 82, 82, 86, 90, 92, 97, 103, 105, 111, 119, 121, 128, 136, 139, 146, 156, 158, 161, 166, 97, 92, 90, 88, 86, 85, 84, 89, 91, 95, 100, 102, 108, 114, 116, 125, 130, 133, 143, 148, 152, 163, 166, 168, 174, 101, 95, 93, 91, 89, 89, 87, 91, 93, 98, 101, 105, 111, 113, 120, 126, 130, 138, 142, 149, 157, 159, 171, 174, 176, 183, 104, 99, 97, 94, 93, 93, 90, 92, 96, 100, 102, 108, 111, 116, 122, 125, 134, 137, 144, 151, 155, 165, 169, 179, 182, 184, 191, 107, 102, 101, 97, 96, 96, 93, 93, 99, 101, 105, 110, 113, 120, 122, 129, 133, 140, 146, 150, 161, 163, 173, 178, 187, 191, 193, 200, 111, 105, 104, 101, 100, 99, 97, 96, 102, 103, 109, 111, 117, 120, 125, 131, 135, 143, 146, 156, 158, 168, 173, 180, 189, 195, 200, 202, 210, 115, 109, 108, 104, 104, 102, 101, 100, 103, 106, 111, 113, 119, 121, 129, 131, 140, 142, 151, 155, 162, 168, 176, 183, 188, 199, 204, 210, 212, 220, 119, 113, 112, 107, 107, 106, 105, 103, 105, 110, 112, 117, 120, 125, 130, 135, 140, 145, 152, 157, 165, 169, 179, 183, 193, 197, 210, 214, 220, 222, 231, 123, 116, 116, 111, 111, 109, 110, 107, 107, 114, 114, 121, 122, 130, 130, 140, 140, 150, 151, 163, 164, 176, 177, 190, 191, 204, 206, 222, 224, 230, 232, 242}, {32, 31, 31, 30, 31, 32, 32, 33, 33, 35, 33, 34, 35, 37, 39, 36, 38, 40, 41, 43, 47, 41, 42, 42, 43, 45, 47, 48, 45, 45, 44, 45, 46, 47, 49, 50, 49, 47, 46, 47, 47, 48, 50, 51, 53, 48, 47, 45, 46, 46, 46, 49, 51, 53, 54, 49, 47, 45, 45, 45, 45, 49, 51, 53, 55, 58, 50, 47, 45, 46, 46, 46, 49, 51, 54, 56, 59, 60, 50, 48, 46, 46, 46, 46, 50, 52, 54, 56, 60, 60, 61, 52, 50, 47, 47, 47, 47, 50, 52, 54, 57, 61, 62, 63, 66, 54, 52, 49, 49, 49, 48, 52, 53, 55, 58, 62, 64, 65, 68, 71, 56, 53, 51, 50, 50, 49, 52, 54, 56, 59, 63, 64, 66, 69, 72, 73, 57, 54, 52, 51, 51, 50, 53, 55, 56, 60, 63, 65, 67, 70, 73, 75, 76, 60, 57, 54, 54, 53, 52, 55, 57, 58, 61, 65, 67, 68, 72, 75, 77, 79, 82, 63, 60, 57, 57, 56, 54, 57, 59, 60, 63, 67, 69, 71, 75, 78, 80, 82, 85, 89, 64, 61, 58, 57, 57, 55, 58, 59, 61, 64, 67, 69, 71, 75, 78, 80, 82, 85, 89, 90, 65, 61, 58, 58, 57, 55, 58, 60, 61, 64, 68, 70, 71, 75, 79, 81, 83, 86, 90, 91, 91, 67, 63, 61, 60, 59, 57, 60, 61, 63, 66, 69, 70, 73, 77, 79, 81, 85, 88, 90, 92, 94, 96, 68, 64, 62, 61, 60, 58, 59, 61, 64, 66, 67, 71, 74, 75, 78, 82, 84, 86, 90, 93, 94, 96, 98, 69, 65, 63, 62, 61, 59, 59, 62, 64, 65, 68, 71, 72, 75, 79, 80, 83, 87, 89, 92, 96, 97, 98, 100, 70, 66, 64, 63, 62, 61, 60, 63, 64, 66, 69, 70, 73, 76, 77, 81, 84, 85, 89, 92, 93, 98, 99, 100, 102, 71, 67, 66, 64, 63, 62, 61, 63, 64, 67, 68, 70, 74, 75, 78, 81, 83, 86, 88, 91, 94, 95, 100, 101, 102, 104, 72, 68, 67, 65, 64, 64, 61, 63, 65, 67, 68, 71, 73, 75, 78, 79, 84, 85, 88, 91, 93, 97, 98, 102, 103, 104, 106, 73, 69, 68, 66, 65, 65, 63, 63, 66, 67, 69, 71, 73, 76, 77, 81, 82, 85, 88, 90, 94, 95, 99, 101, 104, 105, 106, 109, 74, 70, 70, 67, 66, 66, 64, 63, 66, 67, 70, 71, 74, 75, 78, 80, 82, 86, 87, 91, 92, 96, 98, 101, 104, 106, 108, 108, 111, 75, 71, 71, 68, 68, 67, 66, 64, 66, 68, 70, 71, 74, 75, 79, 79, 84, 84, 88, 90, 93, 95, 98, 101, 103, 107, 108, 110, 111, 113, 76, 72, 72, 69, 69, 68, 67, 65, 66, 69, 70, 72, 74, 76, 78, 81, 83, 85, 88, 90, 93, 95, 98, 100, 104, 105, 109, 111, 112, 113, 116, 78, 74, 74, 70, 70, 69, 69, 66, 66, 70, 70, 74, 74, 77, 78, 82, 82, 86, 87, 92, 92, 96, 97, 102, 102, 107, 107, 112, 113, 115, 115, 118}}, {{32, 31, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 33, 32, 32, 32, 33, 34, 35, 32, 33, 33, 33, 34, 36, 36, 34, 34, 33, 34, 35, 37, 38, 39, 36, 35, 34, 35, 36, 38, 40, 42, 48, 38, 37, 36, 36, 38, 39, 41, 44, 50, 51, 39, 38, 37, 38, 39, 40, 42, 45, 50, 52, 54, 44, 42, 41, 41, 42, 42, 44, 47, 54, 56, 58, 63, 47, 45, 44, 44, 45, 45, 47, 50, 56, 58, 60, 66, 69, 49, 47, 46, 45, 46, 46, 48, 51, 57, 60, 62, 68, 71, 73, 54, 51, 50, 49, 50, 49, 51, 54, 60, 63, 65, 71, 75, 77, 82, 59, 56, 54, 54, 54, 53, 55, 58, 64, 67, 69, 75, 79, 81, 87, 92, 61, 58, 56, 56, 56, 55, 57, 60, 65, 68, 70, 77, 81, 83, 89, 94, 97, 65, 62, 60, 59, 59, 58, 60, 63, 68, 71, 73, 79, 84, 87, 92, 98, 101, 105, 71, 68, 65, 65, 64, 63, 65, 68, 73, 76, 78, 84, 89, 92, 97, 103, 106, 111, 117, 76, 72, 70, 69, 68, 66, 68, 71, 76, 79, 81, 88, 92, 95, 101, 107, 110, 115, 122, 127, 80, 76, 73, 72, 71, 69, 71, 74, 79, 82, 84, 90, 95, 98, 104, 110, 113, 118, 125, 130, 134, 83, 78, 76, 75, 74, 72, 73, 76, 81, 84, 86, 92, 97, 100, 106, 113, 116, 121, 128, 133, 137, 140, 86, 82, 79, 78, 77, 74, 76, 79, 84, 87, 89, 95, 100, 103, 109, 116, 119, 124, 131, 136, 140, 144, 147, 89, 85, 82, 81, 79, 78, 78, 82, 86, 87, 92, 97, 100, 105, 112, 114, 120, 128, 131, 136, 146, 147, 150, 155, 92, 88, 85, 84, 82, 81, 80, 85, 86, 90, 95, 97, 102, 107, 110, 117, 122, 125, 134, 138, 142, 152, 154, 156, 162, 95, 90, 88, 86, 85, 84, 82, 86, 88, 93, 95, 99, 105, 106, 113, 118, 121, 129, 132, 139, 146, 148, 159, 161, 163, 169, 98, 93, 91, 89, 88, 87, 85, 87, 90, 94, 96, 102, 104, 109, 114, 117, 126, 128, 134, 141, 145, 154, 157, 166, 168, 170, 176, 101, 96, 95, 92, 91, 90, 88, 88, 93, 95, 99, 103, 106, 112, 114, 121, 124, 131, 136, 140, 149, 151, 160, 165, 173, 176, 178, 184, 104, 99, 98, 95, 94, 93, 91, 90, 95, 96, 102, 103, 109, 112, 117, 122, 125, 133, 136, 145, 146, 156, 160, 167, 174, 180, 184, 186, 193, 108, 102, 101, 98, 97, 96, 95, 93, 97, 100, 104, 106, 111, 113, 121, 122, 130, 132, 140, 143, 150, 155, 162, 169, 174, 183, 188, 192, 194, 201, 111, 105, 105, 101, 100, 99, 98, 96, 98, 103, 105, 109, 112, 117, 121, 125, 130, 135, 141, 146, 152, 156, 165, 169, 178, 181, 193, 196, 201, 202, 210, 114, 109, 109, 104, 104, 102, 102, 99, 100, 106, 106, 113, 113, 120, 121, 129, 130, 139, 140, 151, 151, 162, 162, 175, 176, 187, 188, 203, 204, 210, 211, 219}, {32, 31, 31, 30, 31, 31, 31, 32, 32, 33, 33, 34, 35, 36, 39, 36, 38, 39, 40, 43, 47, 38, 40, 41, 41, 44, 47, 47, 41, 42, 42, 43, 45, 47, 48, 48, 49, 47, 46, 46, 47, 48, 49, 50, 53, 49, 47, 46, 46, 46, 47, 48, 50, 53, 53, 48, 47, 46, 45, 46, 46, 48, 49, 53, 54, 54, 49, 47, 45, 45, 45, 45, 47, 49, 53, 55, 55, 58, 50, 48, 46, 46, 46, 46, 47, 50, 54, 55, 56, 59, 61, 51, 48, 47, 46, 47, 46, 47, 50, 54, 55, 56, 60, 61, 62, 52, 50, 48, 47, 47, 47, 48, 50, 54, 56, 57, 61, 63, 64, 66, 54, 52, 50, 49, 49, 48, 49, 52, 55, 57, 58, 62, 64, 66, 68, 71, 55, 53, 51, 50, 50, 49, 50, 52, 56, 58, 59, 63, 65, 66, 69, 72, 73, 57, 54, 52, 51, 51, 50, 51, 53, 56, 58, 60, 63, 66, 67, 70, 73, 74, 76, 60, 57, 55, 54, 53, 52, 53, 55, 58, 60, 61, 65, 68, 69, 72, 75, 77, 79, 82, 62, 59, 57, 56, 55, 53, 54, 56, 59, 61, 63, 66, 69, 70, 74, 77, 78, 80, 84, 86, 63, 60, 58, 57, 56, 54, 55, 57, 60, 62, 63, 67, 70, 71, 75, 78, 79, 82, 85, 87, 89, 65, 61, 59, 58, 57, 55, 56, 58, 61, 63, 64, 68, 71, 72, 75, 79, 80, 83, 86, 88, 90, 91, 66, 63, 60, 59, 58, 56, 58, 59, 62, 64, 65, 69, 72, 73, 76, 80, 81, 84, 87, 90, 91, 93, 94, 67, 64, 62, 61, 59, 58, 58, 60, 63, 64, 66, 69, 71, 73, 77, 78, 81, 85, 86, 89, 93, 94, 95, 97, 68, 65, 63, 62, 60, 59, 58, 61, 62, 64, 67, 68, 71, 74, 75, 79, 81, 83, 87, 89, 91, 95, 96, 97, 99, 69, 66, 64, 63, 61, 61, 59, 61, 62, 65, 66, 68, 72, 73, 76, 78, 80, 84, 85, 88, 91, 92, 97, 98, 98, 101, 70, 67, 65, 63, 62, 62, 60, 61, 63, 65, 66, 69, 71, 73, 76, 77, 81, 83, 85, 88, 90, 94, 95, 99, 100, 100, 103, 71, 67, 67, 64, 63, 63, 61, 61, 64, 65, 67, 69, 71, 74, 75, 78, 80, 83, 85, 87, 91, 92, 95, 97, 100, 102, 102, 105, 72, 68, 68, 65, 65, 64, 62, 62, 64, 65, 68, 69, 72, 73, 76, 78, 80, 83, 84, 88, 89, 93, 95, 97, 100, 102, 104, 104, 107, 73, 69, 69, 66, 66, 65, 64, 63, 64, 66, 68, 69, 72, 73, 77, 77, 81, 82, 86, 87, 90, 92, 95, 97, 99, 103, 104, 106, 106, 109, 74, 70, 70, 67, 67, 66, 65, 63, 64, 67, 68, 70, 72, 74, 76, 78, 80, 82, 85, 87, 90, 91, 95, 96, 100, 101, 105, 106, 108, 108, 111, 75, 71, 71, 68, 68, 66, 66, 64, 64, 68, 68, 71, 71, 75, 75, 79, 79, 83, 84, 88, 89, 93, 93, 98, 98, 102, 103, 108, 108, 110, 110, 113}}, {{32, 31, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 33, 32, 32, 32, 32, 33, 34, 32, 32, 32, 32, 34, 34, 35, 34, 34, 33, 33, 35, 36, 37, 39, 34, 34, 34, 34, 36, 36, 37, 41, 42, 36, 35, 34, 34, 36, 37, 38, 42, 45, 48, 39, 38, 38, 37, 39, 40, 40, 45, 47, 50, 54, 41, 39, 39, 38, 40, 40, 41, 46, 48, 51, 55, 56, 44, 42, 41, 41, 42, 42, 42, 47, 50, 54, 58, 59, 63, 48, 46, 45, 44, 45, 45, 45, 50, 53, 56, 61, 62, 66, 70, 49, 47, 46, 45, 46, 46, 46, 51, 53, 57, 62, 63, 68, 71, 73, 54, 51, 50, 49, 50, 49, 49, 54, 56, 60, 65, 67, 71, 76, 77, 82, 58, 55, 54, 53, 53, 53, 52, 57, 59, 63, 68, 70, 74, 79, 81, 86, 90, 59, 57, 55, 54, 54, 54, 54, 59, 61, 64, 69, 71, 75, 80, 82, 87, 91, 93, 65, 62, 60, 59, 59, 58, 58, 63, 65, 68, 73, 75, 79, 85, 87, 92, 97, 99, 105, 69, 66, 64, 63, 63, 62, 61, 66, 68, 71, 76, 78, 83, 88, 90, 96, 100, 102, 109, 113, 71, 68, 66, 65, 64, 63, 63, 68, 70, 73, 78, 80, 84, 90, 92, 97, 102, 104, 111, 115, 117, 80, 76, 73, 72, 71, 70, 69, 74, 76, 79, 84, 86, 90, 96, 98, 104, 109, 111, 118, 123, 125, 134, 81, 77, 75, 74, 73, 72, 71, 75, 77, 80, 85, 87, 91, 97, 99, 105, 110, 112, 120, 125, 127, 136, 137, 83, 78, 76, 75, 74, 73, 72, 76, 78, 81, 86, 88, 92, 98, 100, 106, 111, 113, 121, 126, 128, 137, 139, 140, 87, 83, 81, 79, 78, 77, 75, 80, 82, 85, 90, 91, 96, 101, 103, 110, 114, 117, 125, 129, 133, 142, 143, 145, 150, 90, 85, 83, 81, 80, 79, 78, 81, 83, 87, 89, 93, 98, 100, 106, 110, 114, 121, 124, 130, 136, 138, 148, 149, 151, 156, 93, 88, 86, 84, 83, 82, 80, 82, 85, 89, 90, 96, 98, 102, 107, 109, 118, 120, 125, 131, 134, 143, 145, 153, 156, 157, 163, 95, 90, 89, 86, 85, 85, 83, 83, 88, 89, 93, 97, 99, 105, 106, 113, 116, 122, 127, 130, 139, 140, 148, 153, 159, 162, 164, 169, 98, 93, 92, 89, 88, 87, 86, 85, 89, 90, 96, 97, 102, 105, 109, 114, 117, 124, 126, 134, 136, 144, 148, 154, 160, 166, 169, 170, 176, 101, 96, 95, 91, 91, 90, 89, 87, 90, 93, 97, 99, 104, 105, 112, 113, 121, 122, 130, 133, 139, 144, 150, 155, 160, 168, 172, 176, 177, 184, 104, 99, 98, 94, 94, 92, 92, 90, 92, 96, 98, 102, 104, 109, 112, 116, 121, 125, 130, 135, 141, 144, 152, 155, 163, 166, 177, 179, 184, 185, 191, 107, 101, 101, 97, 97, 95, 95, 93, 93, 99, 99, 105, 105, 112, 112, 120, 120, 129, 129, 139, 140, 149, 149, 161, 161, 172, 172, 185, 186, 191, 192, 199}, {32, 31, 31, 30, 31, 31, 30, 31, 31, 32, 33, 34, 35, 35, 39, 35, 36, 37, 37, 41, 43, 36, 38, 39, 40, 43, 45, 47, 41, 42, 42, 42, 45, 46, 47, 48, 44, 44, 44, 44, 46, 46, 47, 49, 50, 49, 47, 47, 46, 47, 47, 48, 50, 51, 53, 48, 47, 46, 45, 46, 46, 46, 49, 51, 53, 54, 48, 47, 46, 45, 46, 46, 46, 49, 51, 53, 54, 55, 49, 47, 46, 45, 45, 45, 45, 49, 51, 53, 55, 56, 58, 50, 48, 47, 46, 46, 46, 46, 50, 51, 54, 56, 57, 59, 61, 51, 48, 47, 46, 47, 46, 46, 50, 51, 54, 56, 57, 60, 62, 62, 52, 50, 48, 47, 47, 47, 47, 50, 52, 54, 57, 58, 61, 63, 64, 66, 54, 51, 50, 49, 49, 48, 48, 51, 53, 55, 58, 59, 62, 64, 65, 68, 70, 55, 52, 51, 50, 49, 49, 48, 52, 53, 55, 59, 60, 62, 65, 66, 68, 70, 71, 57, 54, 53, 52, 51, 50, 50, 53, 54, 56, 60, 61, 63, 66, 67, 70, 73, 73, 76, 59, 56, 54, 53, 53, 52, 51, 54, 56, 58, 61, 62, 65, 68, 69, 72, 74, 75, 78, 80, 60, 57, 55, 54, 53, 53, 52, 55, 56, 58, 61, 63, 65, 68, 69, 72, 75, 76, 79, 81, 82, 63, 60, 58, 57, 56, 55, 54, 57, 59, 60, 63, 65, 67, 70, 71, 75, 77, 78, 82, 84, 85, 89, 64, 61, 59, 58, 57, 56, 55, 58, 59, 61, 64, 65, 68, 71, 72, 75, 78, 79, 82, 85, 86, 89, 90, 65, 61, 60, 58, 57, 56, 55, 58, 59, 61, 64, 65, 68, 71, 72, 75, 78, 79, 83, 85, 86, 90, 91, 91, 67, 63, 61, 60, 59, 58, 57, 60, 61, 63, 65, 66, 69, 72, 73, 77, 79, 80, 84, 86, 88, 92, 93, 93, 95, 68, 64, 63, 61, 60, 59, 58, 60, 61, 63, 65, 67, 70, 71, 74, 76, 78, 81, 83, 86, 88, 89, 94, 94, 95, 97, 68, 65, 64, 62, 61, 60, 58, 59, 61, 64, 64, 68, 69, 71, 74, 75, 79, 80, 83, 86, 87, 91, 92, 95, 96, 97, 99, 69, 66, 65, 63, 62, 61, 59, 59, 62, 63, 65, 67, 69, 72, 72, 76, 78, 80, 83, 84, 88, 89, 92, 94, 97, 98, 99, 101, 70, 67, 66, 63, 63, 62, 61, 60, 63, 63, 66, 67, 69, 71, 73, 76, 77, 81, 82, 85, 86, 90, 91, 94, 96, 99, 100, 100, 103, 71, 67, 67, 64, 64, 63, 62, 61, 62, 64, 66, 67, 70, 71, 74, 74, 78, 79, 83, 84, 87, 89, 91, 94, 95, 99, 100, 102, 102, 104, 72, 68, 68, 65, 65, 64, 63, 61, 62, 65, 66, 68, 69, 71, 73, 75, 77, 79, 82, 84, 87, 88, 92, 93, 96, 97, 101, 102, 104, 104, 106, 73, 69, 69, 66, 66, 64, 64, 62, 62, 66, 66, 69, 69, 72, 73, 76, 77, 81, 81, 85, 85, 89, 90, 94, 94, 99, 99, 104, 104, 106, 106, 108}}, {{32, 31, 32, 31, 32, 32, 31, 32, 32, 32, 31, 32, 32, 32, 33, 31, 32, 32, 32, 33, 33, 32, 32, 32, 32, 33, 34, 35, 32, 33, 33, 33, 34, 34, 36, 36, 34, 34, 34, 33, 35, 35, 37, 38, 39, 35, 35, 34, 34, 36, 36, 38, 39, 42, 46, 36, 35, 35, 34, 36, 36, 38, 40, 42, 47, 48, 39, 38, 38, 37, 39, 39, 40, 42, 45, 49, 50, 54, 41, 40, 39, 38, 40, 40, 41, 43, 46, 50, 52, 55, 57, 44, 42, 42, 41, 42, 42, 42, 44, 47, 52, 54, 58, 60, 63, 47, 45, 45, 44, 44, 45, 45, 47, 50, 55, 56, 60, 62, 66, 69, 48, 46, 45, 44, 45, 45, 46, 47, 51, 55, 57, 61, 63, 67, 70, 71, 54, 51, 50, 49, 49, 50, 49, 51, 54, 59, 60, 65, 67, 71, 75, 76, 82, 56, 53, 52, 51, 51, 51, 51, 53, 56, 60, 61, 66, 69, 73, 77, 78, 84, 86, 59, 56, 55, 54, 54, 54, 53, 55, 58, 62, 64, 69, 71, 75, 79, 80, 87, 89, 92, 64, 61, 60, 58, 58, 58, 57, 59, 62, 66, 67, 72, 75, 79, 83, 84, 91, 93, 97, 102, 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