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Chap19.cpp
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Chap19.cpp
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#include <vector>
#include <map>
#include <unordered_set>
#include <iostream>
#include <string>
#include <utility>
#include "GraphEPI.h"
using namespace std;
void PrintPath(vector<int> parent, int src,int dest)
{
stack<int> path;
int currentVertex = dest;
while (currentVertex != unweighted_graph::NIL && currentVertex!=parent[src])
{
path.push(currentVertex);
currentVertex = parent[currentVertex];
}
while (!path.empty())
{
cout << path.top() << "->";
path.pop();
}
}
void Prob19_1D()
{
//5*5 maze
unweighted_graph g(25);
g.addBothEdges(0, 1); g.addBothEdges(0, 5); g.addBothEdges(1, 2); g.addBothEdges(2, 3); g.addBothEdges(3, 4);
g.addBothEdges(3, 8); g.addBothEdges(5, 10); g.addBothEdges(10, 11); g.addBothEdges(8, 13); g.addBothEdges(13,14);
g.addBothEdges(10, 15); g.addBothEdges(11, 16); g.addBothEdges(15, 16); g.addBothEdges(14, 19); g.addBothEdges(15,20);
g.addBothEdges(19,24);
vector<int> parent(25);
vector<vector<int> > timestamps(25, vector<int>(2, 0));
g.DFS_Traversal(parent, timestamps);
PrintPath(parent, 0, 24);
}
void Prob19_9D()
{
int NoVertices = 8;
vector<int> durations_vector(NoVertices);
vector<vector<bool> >predecessors_vector(NoVertices, vector<bool>(NoVertices, false));
vector<float> distances;
vector<vector<float> > all_distances;
vector<int> parents;
vector<vector<int> > all_parents;
durations_vector[0] = 2; durations_vector[1] = 8; durations_vector[2] = 1;
durations_vector[3] = 3; durations_vector[4] = 8; durations_vector[5] = 1; durations_vector[7] = 1;
predecessors_vector[0][1] = true; predecessors_vector[1][3] = true; predecessors_vector[2][3] = true; predecessors_vector[3][4] = true;
predecessors_vector[3][5] = true; predecessors_vector[4][5] = true;
predecessors_vector[0][2] = true;
weighted_graph g(NoVertices);
for (int i = 0; i < NoVertices; ++i)
{
for (int j = 0; j < NoVertices; ++j)
{
if (predecessors_vector[i][j])
g.addSingleEdge(i, j, durations_vector[i]);
}
}
AllPairShortestPaths(g, &all_distances, &all_parents);
for (int i = 0; i < g.GetVerticesNB(); ++i)
{
cout << i << ":";
for (int j = 0; j < g.GetVerticesNB(); ++j)
{
if (all_distances[i][j] != FLT_MAX)
cout << all_distances[i][j]<<",";
else
cout << "X,";
}
cout << endl;
}
}
bool IsValid(string l, string r)
{
bool mismatch = false;
if (l.size() != r.size())
return false;
for (int i = 0; i < l.size(); ++i)
{
if (l[i] != r[i])
{
if (!mismatch)
mismatch = true;
else
return false;
}
}
return true;
}
list<string> GetNeighbours(string src, unordered_set<string> D)
{
list<string> result;
for (string s: D)
{
if (IsValid(src, s))
result.push_back(s);
}
return result;
}
bool StringProduction(string src, string dst, unordered_set<string> dico, list<string>* prod_seq)
{
if (dico.find(src) == dico.end() || dico.find(dst) == dico.end())
return false;
map<string, string> parents;
unordered_set<string> processed;
queue<string> discovered;
//init the bfs
discovered.push(src);
parents[src] = "";
while (!discovered.empty())
{
string current = discovered.front();discovered.pop();
processed.insert(current);
list<string> neighbours = GetNeighbours(current, dico);
for (string s : neighbours)
{
if (processed.find(s) == processed.end())
{
parents[s] = current;
discovered.push(s);
}
}
}
if (processed.find(dst) == processed.end())
return false;
while (dst!="")
{
prod_seq->push_front(dst);
dst = parents[dst];
}
return true;
}
void Prob19_5D()
{
string src = "tart";
string dst = "fall";
unordered_set<string> dico;
dico.insert("tart"); dico.insert("fall"); dico.insert("tool"); dico.insert("tall"); dico.insert("tarp");
dico.insert("fart"); dico.insert("fall"); dico.insert("faller"); dico.insert("farl");
list<string> prod_sequence;
if (StringProduction(src,dst,dico,&prod_sequence))
{
for (list<string>::iterator it = prod_sequence.begin(); it != prod_sequence.end();++it)
std::cout << *it << " -> ";
}
}
struct ColoredSquare
{
int x, y;
bool is_black;
ColoredSquare(int x_, int y_, bool is_black_) : x( x_), y( y_), is_black(is_black_){}
ColoredSquare() :ColoredSquare(0, 0, false){}
};
list<ColoredSquare> GetSameColorNeighbours(const vector<vector<ColoredSquare> > &board, ColoredSquare src)
{
list<ColoredSquare> result;
int x = src.x;
int y = src.y;
bool is_black = src.is_black;
if (x > 0)
if (board[y][x - 1].is_black == is_black)
result.emplace_front(ColoredSquare(x - 1, y, is_black));
if (y > 0)
if (board[y - 1][x].is_black == is_black)
result.emplace_front(ColoredSquare(x, y - 1, is_black));
if (x < board[0].size()-1)
if (board[y][x + 1].is_black == is_black)
result.emplace_front(ColoredSquare(x + 1, y, is_black));
if (y < board.size() - 1)
if (board[y + 1][x].is_black == is_black)
result.emplace_front(ColoredSquare(x, y + 1, is_black));
return result;
}
void FlipRegionColor(vector<vector<ColoredSquare> > *board, int x,int y)
{
stack<ColoredSquare> s;
vector<vector<bool> > discovered( (*board).size(),vector<bool>((*board)[0].size(),false) );
ColoredSquare src = (*board)[y][x];
s.push(src);
while (!s.empty())
{
ColoredSquare cur_square = s.top();
s.pop();
discovered[cur_square.x][cur_square.y] = true;;
list<ColoredSquare> same_colored_neighbours = GetSameColorNeighbours(*board, cur_square);
for (ColoredSquare neighbour:same_colored_neighbours)
{
if (!discovered[neighbour.x][neighbour.y])
{
s.push(neighbour);
}
}
(*board)[cur_square.y][cur_square.x].is_black = !cur_square.is_black;
}
}
void Prob19_2D()
{
vector<vector<ColoredSquare> > board(5, vector<ColoredSquare>(5));
for (int i = 0; i < 5;++i)
{
for (int j = 0; j < 5; ++j)
{
board[i][j].x = j;
board[i][j].y = i;
board[i][j].is_black = false;
}
}
board[0][3].is_black = board[0][4].is_black = true;
board[1][1].is_black = board[1][2].is_black = board[1][4].is_black = true;
board[2][0].is_black = board[2][2].is_black = true;
board[3][1].is_black = board[3][4].is_black = true;
for (int i = 0; i < 5; ++i)
{
for (int j = 0; j < 5; ++j)
{
cout << board[i][j].is_black;
}
cout << endl;
}
cout << endl;
FlipRegionColor(&board,1,2);
for (int i = 0; i < 5; ++i)
{
for (int j = 0; j < 5; ++j)
{
cout << board[i][j].is_black;
}
cout << endl;
}
cout << endl;
FlipRegionColor(&board, 1, 2);
for (int i = 0; i < 5; ++i)
{
for (int j = 0; j < 5; ++j)
{
cout << board[i][j].is_black;
}
cout << endl;
}
}
int main()
{
Prob19_2D();
getchar();
return 0;
}