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longest increasing and decreasing subsequences
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1 /***************************************************************************
2  *   Copyright (C) 2006 by Michael Andreen                                 *
3  *   andreen@student.chalmers.se                                           *
4  *                                                                         *
5  *   This program is free software; you can redistribute it and/or modify  *
6  *   it under the terms of the GNU General Public License as published by  *
7  *   the Free Software Foundation; either version 2 of the License, or     *
8  *   (at your option) any later version.                                   *
9  *                                                                         *
10  *   This program is distributed in the hope that it will be useful,       *
11  *   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
12  *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
13  *   GNU General Public License for more details.                          *
14  *                                                                         *
15  *   You should have received a copy of the GNU General Public License     *
16  *   along with this program; if not, write to the                         *
17  *   Free Software Foundation, Inc.,                                       *
18  *   51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA          *
19  ***************************************************************************/
20
21 #include "genealgorithms.h"
22 #include "geneorder.h"
23
24 #include <algorithm>
25 #include <cstdlib>
26 using namespace std;
27
28 std::pair<int,int> longestSequences(const GeneOrder& go){
29         vector<vector<int> > v = robinsonSchensted(go);
30         return pair<int,int>(v[0].size(),v.size());
31 }
32
33 std::vector<std::vector<int> > robinsonSchensted(const GeneOrder& go){
34         vector<vector<int> > v;
35         for (GeneOrder::iterator i = go.begin(); i != go.end(); ++i){
36                 int n = abs(*i);
37                 bool added = false;
38                 for (vector<vector<int> >::iterator vs = v.begin();
39                                 vs != v.end(); ++vs){
40                         vector<int>::iterator bigger = upper_bound(vs->begin(),vs->end(),n);
41                         if ( bigger == vs->end()){
42                                 vs->push_back(n);
43                                 added = true;
44                                 break;
45                         }else{
46                                 swap(n,*bigger);
47                         }
48                 }
49                 if (!added){
50                         v.push_back(vector<int>());
51                         v.back().push_back(n);
52                 }
53         }
54         return v;
55 }