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< a href = "range__minimum__query_8h.html" > Go to the documentation of this file.< / a > < div class = "fragment" > < div class = "line" > < a id = "l00001" name = "l00001" > < / a > < span class = "lineno" > 1< / span > < span class = "comment" > // Copyright 2010-2021 Google LLC< / span > < / div >
< div class = "line" > < a id = "l00002" name = "l00002" > < / a > < span class = "lineno" > 2< / span > < span class = "comment" > // Licensed under the Apache License, Version 2.0 (the " License" );< / span > < / div >
< div class = "line" > < a id = "l00003" name = "l00003" > < / a > < span class = "lineno" > 3< / span > < span class = "comment" > // you may not use this file except in compliance with the License.< / span > < / div >
< div class = "line" > < a id = "l00004" name = "l00004" > < / a > < span class = "lineno" > 4< / span > < span class = "comment" > // You may obtain a copy of the License at< / span > < / div >
< div class = "line" > < a id = "l00005" name = "l00005" > < / a > < span class = "lineno" > 5< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00006" name = "l00006" > < / a > < span class = "lineno" > 6< / span > < span class = "comment" > // http://www.apache.org/licenses/LICENSE-2.0< / span > < / div >
< div class = "line" > < a id = "l00007" name = "l00007" > < / a > < span class = "lineno" > 7< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00008" name = "l00008" > < / a > < span class = "lineno" > 8< / span > < span class = "comment" > // Unless required by applicable law or agreed to in writing, software< / span > < / div >
< div class = "line" > < a id = "l00009" name = "l00009" > < / a > < span class = "lineno" > 9< / span > < span class = "comment" > // distributed under the License is distributed on an " AS IS" BASIS,< / span > < / div >
< div class = "line" > < a id = "l00010" name = "l00010" > < / a > < span class = "lineno" > 10< / span > < span class = "comment" > // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.< / span > < / div >
< div class = "line" > < a id = "l00011" name = "l00011" > < / a > < span class = "lineno" > 11< / span > < span class = "comment" > // See the License for the specific language governing permissions and< / span > < / div >
< div class = "line" > < a id = "l00012" name = "l00012" > < / a > < span class = "lineno" > 12< / span > < span class = "comment" > // limitations under the License.< / span > < / div >
< div class = "line" > < a id = "l00013" name = "l00013" > < / a > < span class = "lineno" > 13< / span > < / div >
< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / span > < span class = "comment" > // We use the notation min(arr, i, j) for the minimum arr[x] such that i < = x< / span > < / div >
< div class = "line" > < a id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < span class = "comment" > // and x < j.< / span > < / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < span class = "comment" > // Range Minimum Query (RMQ) is a data structure preprocessing an array arr so< / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "comment" > // that querying min(arr, i, j) takes O(1) time. The preprocessing takes< / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "comment" > // O(n*log(n)) time and memory.< / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "comment" > // Note: There exists an O(n) preprocessing algorithm, but it is considerably< / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "comment" > // more involved and the hidden constants behind it are much higher.< / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "comment" > // The algorithms are well explained in Wikipedia:< / span > < / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < span class = "comment" > // https://en.wikipedia.org/wiki/Range_minimum_query.< / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "comment" > // Implementation: The idea is to cache every min(arr, i, j) where j - i is a< / span > < / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "comment" > // power of two, i.e. j = i + 2^k for some k. Provided this information, we can< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "comment" > // answer all queries in O(1): given a pair (i, j) find the maximum k such that< / span > < / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "comment" > // i + 2^k < j and note that< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "comment" > // std::min(min(arr, i, i+2^k), min(arr, j-2^k, j)) = min(arr, i, j).< / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < span class = "preprocessor" > #ifndef OR_TOOLS_UTIL_RANGE_MINIMUM_QUERY_H_< / span > < / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < span class = "preprocessor" > #define OR_TOOLS_UTIL_RANGE_MINIMUM_QUERY_H_< / span > < / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > < / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "preprocessor" > #include < algorithm> < / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "preprocessor" > #include < functional> < / span > < / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "preprocessor" > #include < numeric> < / span > < / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < span class = "preprocessor" > #include < utility> < / span > < / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "preprocessor" > #include < vector> < / span > < / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "preprocessor" > #include " < a class = "code" href = "bitset_8h.html" > ortools/util/bitset.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare = std::less< T> > < / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_query.html" > 46< / a > < / span > < span class = "keyword" > class < / span > < a class = "code hl_class" href = "classoperations__research_1_1_range_minimum_query.html" > RangeMinimumQuery< / a > {< / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_query.html#a763ae33513a652d6233c8a2c78c75ffd" > 48< / a > < / span > < span class = "keyword" > explicit< / span > < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a763ae33513a652d6233c8a2c78c75ffd" > RangeMinimumQuery< / a > (std::vector< T> < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > array< / a > );< / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_query.html#a465072ee13cc92eb72c9201039672065" > 49< / a > < / span > < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a465072ee13cc92eb72c9201039672065" > RangeMinimumQuery< / a > (std::vector< T> < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > array< / a > , Compare cmp);< / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > < / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "comment" > // Returns the minimum (w.r.t. Compare) arr[x], where x is contained in< / span > < / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < span class = "comment" > // [from, to).< / span > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_query.html#a20bd6e147a4ff92b8290e3c9bc7e366a" > 53< / a > < / span > T < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a20bd6e147a4ff92b8290e3c9bc7e366a" > GetMinimumFromRange< / a > (< span class = "keywordtype" > int< / span > from, < span class = "keywordtype" > int< / span > to) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > < / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > 55< / a > < / span > < span class = "keyword" > const< / span > std::vector< T> & < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > array< / a > () < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > < span class = "comment" > // cache_[k][i] = min(arr, i, i+2^k).< / span > < / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > std::vector< std::vector< T> > cache_;< / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > Compare cmp_;< / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > DISALLOW_COPY_AND_ASSIGN(< a class = "code hl_class" href = "classoperations__research_1_1_range_minimum_query.html" > RangeMinimumQuery< / a > );< / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > };< / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > < / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "comment" > // RangeMinimumIndexQuery is similar to RangeMinimumQuery, but< / span > < / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < span class = "comment" > // GetMinimumIndexFromRange returns the index for which the minimum is attained.< / span > < / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare = std::less< T> > < / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_index_query.html" > 68< / a > < / span > < span class = "keyword" > class < / span > < a class = "code hl_class" href = "classoperations__research_1_1_range_minimum_index_query.html" > RangeMinimumIndexQuery< / a > {< / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > < span class = "keyword" > explicit< / span > < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#a74499390c02d0f270713377a4300999d" > RangeMinimumIndexQuery< / a > (std::vector< T> < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > array< / a > );< / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#a74499390c02d0f270713377a4300999d" > RangeMinimumIndexQuery< / a > (std::vector< T> < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > array< / a > , Compare cmp);< / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > < / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > < span class = "comment" > // Returns an index idx from [from, to) such that arr[idx] is the minimum< / span > < / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > < span class = "comment" > // value of arr over the interval [from, to).< / span > < / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > < span class = "keywordtype" > int< / span > < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#ac2073ec0893ee9e7d713752213b1fa8a" > GetMinimumIndexFromRange< / a > (< span class = "keywordtype" > int< / span > from, < span class = "keywordtype" > int< / span > to) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > < / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > < span class = "comment" > // Returns the original array.< / span > < / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < span class = "keyword" > const< / span > std::vector< T> & < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > array< / a > () < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < span class = "comment" > // Returns a vector with values 0, 1, ... n - 1 for a given n.< / span > < / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > < span class = "keyword" > static< / span > std::vector< int> CreateIndexVector(< span class = "keywordtype" > int< / span > n);< / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > < span class = "keyword" > struct < / span > IndexComparator {< / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > < span class = "keywordtype" > bool< / span > operator()(< span class = "keywordtype" > int< / span > lhs_idx, < span class = "keywordtype" > int< / span > rhs_idx) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < span class = "keyword" > const< / span > std::vector< T> < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > array< / a > ;< / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > Compare cmp;< / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > } cmp_;< / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1_range_minimum_query.html" > RangeMinimumQuery< int, IndexComparator> < / a > rmq_;< / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > DISALLOW_COPY_AND_ASSIGN(< a class = "code hl_class" href = "classoperations__research_1_1_range_minimum_index_query.html" > RangeMinimumIndexQuery< / a > );< / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > };< / div >
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > < / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < span class = "comment" > // RangeMinimumQuery implementation< / span > < / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare> < / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_query.html#a763ae33513a652d6233c8a2c78c75ffd" > 94< / a > < / span > < span class = "keyword" > inline< / span > < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a763ae33513a652d6233c8a2c78c75ffd" > RangeMinimumQuery< T, Compare> ::RangeMinimumQuery< / a > (std::vector< T> array)< / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > : < a class = "code hl_class" href = "classoperations__research_1_1_range_minimum_query.html" > RangeMinimumQuery< / a > (< a class = "code hl_namespace" href = "namespacestd.html" > std< / a > ::move(array), Compare()) {}< / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > < / div >
< div class = "line" > < a id = "l00097" name = "l00097" > < / a > < span class = "lineno" > 97< / span > < span class = "comment" > // Reminder: The task is to fill cache_ so that< / span > < / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > < span class = "comment" > // cache_[k][i] = min(arr, i, i+2^k) for every k < = Log2(n) and i < = n-2^k.< / span > < / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > 99< / span > < span class = "comment" > // Note that cache_[k+1][i] = min(cache_[k][i], cache_[k][i+2^k]), hence every< / span > < / div >
< div class = "line" > < a id = "l00100" name = "l00100" > < / a > < span class = "lineno" > 100< / span > < span class = "comment" > // row can be efficiently computed from the previous.< / span > < / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare> < / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_query.html#a465072ee13cc92eb72c9201039672065" > 102< / a > < / span > < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a763ae33513a652d6233c8a2c78c75ffd" > RangeMinimumQuery< T, Compare> ::RangeMinimumQuery< / a > (std::vector< T> array,< / div >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > 103< / span > Compare cmp)< / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > : cache_(< a class = "code hl_function" href = "namespaceoperations__research.html#ac2dd49087312b4acbda94f5c6cb668f7" > MostSignificantBitPosition32< / a > (array.size()) + 1),< / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > cmp_(< a class = "code hl_namespace" href = "namespacestd.html" > std< / a > ::move(cmp)) {< / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > array_size = < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > array< / a > .size();< / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > cache_[0] = std::move(< a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > array< / a > );< / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > row_idx = 1; row_idx < cache_.size(); ++row_idx) {< / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > 109< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > row_length = array_size - (1 < < row_idx) + 1;< / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > window = 1 < < (row_idx - 1);< / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > cache_[row_idx].resize(row_length);< / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > col_idx = 0; col_idx < row_length; ++col_idx) {< / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > cache_[row_idx][col_idx] =< / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (cache_[row_idx - 1][col_idx],< / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > cache_[row_idx - 1][col_idx + window], cmp_);< / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > }< / div >
< div class = "line" > < a id = "l00117" name = "l00117" > < / a > < span class = "lineno" > 117< / span > }< / div >
< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > }< / div >
< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > < / div >
< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > 120< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare> < / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_query.html#a20bd6e147a4ff92b8290e3c9bc7e366a" > 121< / a > < / span > < span class = "keyword" > inline< / span > T < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a20bd6e147a4ff92b8290e3c9bc7e366a" > RangeMinimumQuery< T, Compare> ::GetMinimumFromRange< / a > (< span class = "keywordtype" > int< / span > from,< / div >
< div class = "line" > < a id = "l00122" name = "l00122" > < / a > < span class = "lineno" > 122< / span > < span class = "keywordtype" > int< / span > to)< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00123" name = "l00123" > < / a > < span class = "lineno" > 123< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a4395e95bab44e222cb2e77251017a0e2" > DCHECK_LE< / a > (0, from);< / div >
< div class = "line" > < a id = "l00124" name = "l00124" > < / a > < span class = "lineno" > 124< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ab62f5ed8f2d48e29802be0cbbcd1359a" > DCHECK_LT< / a > (from, to);< / div >
< div class = "line" > < a id = "l00125" name = "l00125" > < / a > < span class = "lineno" > 125< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a4395e95bab44e222cb2e77251017a0e2" > DCHECK_LE< / a > (to, array().size());< / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > log_diff = < a class = "code hl_function" href = "namespaceoperations__research.html#ac2dd49087312b4acbda94f5c6cb668f7" > MostSignificantBitPosition32< / a > (to - from);< / div >
< div class = "line" > < a id = "l00127" name = "l00127" > < / a > < span class = "lineno" > 127< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > window = 1 < < log_diff;< / div >
< div class = "line" > < a id = "l00128" name = "l00128" > < / a > < span class = "lineno" > 128< / span > < span class = "keyword" > const< / span > std::vector< T> & < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > = cache_[log_diff];< / div >
< div class = "line" > < a id = "l00129" name = "l00129" > < / a > < span class = "lineno" > 129< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (< a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > [from], < a class = "code hl_variable" href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > [to - window], cmp_);< / div >
< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > }< / div >
< div class = "line" > < a id = "l00131" name = "l00131" > < / a > < span class = "lineno" > 131< / span > < / div >
< div class = "line" > < a id = "l00132" name = "l00132" > < / a > < span class = "lineno" > 132< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare> < / div >
< div class = "line" > < a id = "l00133" name = "l00133" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > 133< / a > < / span > < span class = "keyword" > inline< / span > < span class = "keyword" > const< / span > std::vector< T> & < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > RangeMinimumQuery< T, Compare> ::array< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > < span class = "keywordflow" > return< / span > cache_[0];< / div >
< div class = "line" > < a id = "l00135" name = "l00135" > < / a > < span class = "lineno" > 135< / span > }< / div >
< div class = "line" > < a id = "l00136" name = "l00136" > < / a > < span class = "lineno" > 136< / span > < / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > < span class = "comment" > // RangeMinimumIndexQuery implementation< / span > < / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare> < / div >
< div class = "line" > < a id = "l00139" name = "l00139" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_index_query.html#a74499390c02d0f270713377a4300999d" > 139< / a > < / span > < span class = "keyword" > inline< / span > < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#a74499390c02d0f270713377a4300999d" > RangeMinimumIndexQuery< T, Compare> ::RangeMinimumIndexQuery< / a > (< / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > std::vector< T> array)< / div >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > 141< / span > : < a class = "code hl_class" href = "classoperations__research_1_1_range_minimum_index_query.html" > RangeMinimumIndexQuery< / a > (< a class = "code hl_namespace" href = "namespacestd.html" > std< / a > ::move(array), Compare()) {}< / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare> < / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_index_query.html#af6a1139c873366ba6d987a051312ab3f" > 144< / a > < / span > < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#a74499390c02d0f270713377a4300999d" > RangeMinimumIndexQuery< T, Compare> ::RangeMinimumIndexQuery< / a > (std::vector< T> array,< / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > 145< / span > Compare cmp)< / div >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > 146< / span > : cmp_({std::move(< a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > array< / a > ), std::move(cmp)}),< / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > 147< / span > rmq_(CreateIndexVector(cmp_.array.size()), cmp_) {}< / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > < / div >
< div class = "line" > < a id = "l00149" name = "l00149" > < / a > < span class = "lineno" > 149< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare> < / div >
< div class = "line" > < a id = "l00150" name = "l00150" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_index_query.html#ac2073ec0893ee9e7d713752213b1fa8a" > 150< / a > < / span > < span class = "keyword" > inline< / span > < span class = "keywordtype" > int< / span > < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#ac2073ec0893ee9e7d713752213b1fa8a" > RangeMinimumIndexQuery< T, Compare> ::GetMinimumIndexFromRange< / a > (< / div >
< div class = "line" > < a id = "l00151" name = "l00151" > < / a > < span class = "lineno" > 151< / span > < span class = "keywordtype" > int< / span > from, < span class = "keywordtype" > int< / span > to)< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00152" name = "l00152" > < / a > < span class = "lineno" > 152< / span > < span class = "keywordflow" > return< / span > rmq_.GetMinimumFromRange(from, to);< / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > }< / div >
< div class = "line" > < a id = "l00154" name = "l00154" > < / a > < span class = "lineno" > 154< / span > < / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare> < / div >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > 156< / span > < span class = "keyword" > inline< / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_class" href = "classoperations__research_1_1_range_minimum_index_query.html" > RangeMinimumIndexQuery< T, Compare> ::IndexComparator::operator()< / a > (< / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > < span class = "keywordtype" > int< / span > lhs_idx, < span class = "keywordtype" > int< / span > rhs_idx)< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > < span class = "keywordflow" > return< / span > cmp(array[lhs_idx], array[rhs_idx]);< / div >
< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > }< / div >
< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > < / div >
< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare> < / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > 162< / span > std::vector< int> RangeMinimumIndexQuery< T, Compare> ::CreateIndexVector(< span class = "keywordtype" > int< / span > n) {< / div >
< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > 163< / span > std::vector< int> result(n, 0);< / div >
< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > std::iota(result.begin(), result.end(), 0);< / div >
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > < span class = "keywordflow" > return< / span > result;< / div >
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > 166< / span > }< / div >
< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > 167< / span > < / div >
< div class = "line" > < a id = "l00168" name = "l00168" > < / a > < span class = "lineno" > 168< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T, < span class = "keyword" > typename< / span > Compare> < / div >
< div class = "line" > < a id = "l00169" name = "l00169" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_range_minimum_index_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > 169< / a > < / span > < span class = "keyword" > inline< / span > < span class = "keyword" > const< / span > std::vector< T> & < a class = "code hl_function" href = "classoperations__research_1_1_range_minimum_index_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > RangeMinimumIndexQuery< T, Compare> ::array< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > < span class = "keywordflow" > return< / span > cmp_.array;< / div >
< div class = "line" > < a id = "l00171" name = "l00171" > < / a > < span class = "lineno" > 171< / span > }< / div >
< div class = "line" > < a id = "l00172" name = "l00172" > < / a > < span class = "lineno" > 172< / span > } < span class = "comment" > // namespace operations_research< / span > < / div >
< div class = "line" > < a id = "l00173" name = "l00173" > < / a > < span class = "lineno" > 173< / span > < span class = "preprocessor" > #endif < / span > < span class = "comment" > // OR_TOOLS_UTIL_RANGE_MINIMUM_QUERY_H_< / span > < / div >
< div class = "ttc" id = "aalldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045" > < div class = "ttname" > < a href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > min< / a > < / div > < div class = "ttdeci" > int64_t min< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "alldiff__cst_8cc_source.html#l00139" > alldiff_cst.cc:139< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "abase_2logging_8h_html_a4395e95bab44e222cb2e77251017a0e2" > < div class = "ttname" > < a href = "base_2logging_8h.html#a4395e95bab44e222cb2e77251017a0e2" > DCHECK_LE< / a > < / div > < div class = "ttdeci" > #define DCHECK_LE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00893" > base/logging.h:893< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_ab62f5ed8f2d48e29802be0cbbcd1359a" > < div class = "ttname" > < a href = "base_2logging_8h.html#ab62f5ed8f2d48e29802be0cbbcd1359a" > DCHECK_LT< / a > < / div > < div class = "ttdeci" > #define DCHECK_LT(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00894" > base/logging.h:894< / a > < / div > < / div >
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< div class = "ttc" id = "aclassoperations__research_1_1_range_minimum_index_query_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_range_minimum_index_query.html" > operations_research::RangeMinimumIndexQuery< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "range__minimum__query_8h_source.html#l00068" > range_minimum_query.h:68< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_range_minimum_index_query_html_a19e84487ac8cfb253b5ee8ae83a24d59" > < div class = "ttname" > < a href = "classoperations__research_1_1_range_minimum_index_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > operations_research::RangeMinimumIndexQuery::array< / a > < / div > < div class = "ttdeci" > const std::vector< T > & array() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "range__minimum__query_8h_source.html#l00169" > range_minimum_query.h:169< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_range_minimum_index_query_html_a74499390c02d0f270713377a4300999d" > < div class = "ttname" > < a href = "classoperations__research_1_1_range_minimum_index_query.html#a74499390c02d0f270713377a4300999d" > operations_research::RangeMinimumIndexQuery::RangeMinimumIndexQuery< / a > < / div > < div class = "ttdeci" > RangeMinimumIndexQuery(std::vector< T > array)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "range__minimum__query_8h_source.html#l00139" > range_minimum_query.h:139< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_range_minimum_index_query_html_ac2073ec0893ee9e7d713752213b1fa8a" > < div class = "ttname" > < a href = "classoperations__research_1_1_range_minimum_index_query.html#ac2073ec0893ee9e7d713752213b1fa8a" > operations_research::RangeMinimumIndexQuery::GetMinimumIndexFromRange< / a > < / div > < div class = "ttdeci" > int GetMinimumIndexFromRange(int from, int to) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "range__minimum__query_8h_source.html#l00150" > range_minimum_query.h:150< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_range_minimum_query_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_range_minimum_query.html" > operations_research::RangeMinimumQuery< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "range__minimum__query_8h_source.html#l00046" > range_minimum_query.h:46< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_range_minimum_query_html_a19e84487ac8cfb253b5ee8ae83a24d59" > < div class = "ttname" > < a href = "classoperations__research_1_1_range_minimum_query.html#a19e84487ac8cfb253b5ee8ae83a24d59" > operations_research::RangeMinimumQuery::array< / a > < / div > < div class = "ttdeci" > const std::vector< T > & array() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "range__minimum__query_8h_source.html#l00133" > range_minimum_query.h:133< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_range_minimum_query_html_a20bd6e147a4ff92b8290e3c9bc7e366a" > < div class = "ttname" > < a href = "classoperations__research_1_1_range_minimum_query.html#a20bd6e147a4ff92b8290e3c9bc7e366a" > operations_research::RangeMinimumQuery::GetMinimumFromRange< / a > < / div > < div class = "ttdeci" > T GetMinimumFromRange(int from, int to) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "range__minimum__query_8h_source.html#l00121" > range_minimum_query.h:121< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_range_minimum_query_html_a465072ee13cc92eb72c9201039672065" > < div class = "ttname" > < a href = "classoperations__research_1_1_range_minimum_query.html#a465072ee13cc92eb72c9201039672065" > operations_research::RangeMinimumQuery::RangeMinimumQuery< / a > < / div > < div class = "ttdeci" > RangeMinimumQuery(std::vector< T > array, Compare cmp)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "range__minimum__query_8h_source.html#l00102" > range_minimum_query.h:102< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_range_minimum_query_html_a763ae33513a652d6233c8a2c78c75ffd" > < div class = "ttname" > < a href = "classoperations__research_1_1_range_minimum_query.html#a763ae33513a652d6233c8a2c78c75ffd" > operations_research::RangeMinimumQuery::RangeMinimumQuery< / a > < / div > < div class = "ttdeci" > RangeMinimumQuery(std::vector< T > array)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "range__minimum__query_8h_source.html#l00094" > range_minimum_query.h:94< / a > < / div > < / div >
< div class = "ttc" id = "amarkowitz_8cc_html_aea35f36ba98d5bbd8d033382f50c9e52" > < div class = "ttname" > < a href = "markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52" > row< / a > < / div > < div class = "ttdeci" > RowIndex row< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "markowitz_8cc_source.html#l00182" > markowitz.cc:182< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html" > < div class = "ttname" > < a href = "namespaceoperations__research.html" > operations_research< / a > < / div > < div class = "ttdoc" > Collection of objects used to extend the Constraint Solver library.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "dense__doubly__linked__list_8h_source.html#l00021" > dense_doubly_linked_list.h:21< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_ac2dd49087312b4acbda94f5c6cb668f7" > < div class = "ttname" > < a href = "namespaceoperations__research.html#ac2dd49087312b4acbda94f5c6cb668f7" > operations_research::MostSignificantBitPosition32< / a > < / div > < div class = "ttdeci" > int MostSignificantBitPosition32(uint32_t n)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "bitset_8h_source.html#l00273" > bitset.h:273< / a > < / div > < / div >
< div class = "ttc" id = "anamespacestd_html" > < div class = "ttname" > < a href = "namespacestd.html" > std< / a > < / div > < div class = "ttdoc" > STL namespace.< / div > < / div >
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