From 41a53257099a8e775ccaf58678c2c466e292c8ff Mon Sep 17 00:00:00 2001 From: AnupKumarPanwar <1anuppanwar@gmail.com> Date: Mon, 10 Apr 2017 14:31:19 +0530 Subject: [PATCH 1/6] Longest Common Subsequence --- .../Longest Common Subsequence.cpp | 4 ++-- .../Longest Common Subsequence.exe | Bin 0 -> 1854695 bytes Greedy Algorithms/Knapsack.cpp | 8 -------- Greedy Algorithms/Knapsack.exe | Bin 0 -> 1854568 bytes 4 files changed, 2 insertions(+), 10 deletions(-) create mode 100644 Dynamic Programming/Longest Common Subsequence.exe create mode 100644 Greedy Algorithms/Knapsack.exe diff --git a/Dynamic Programming/Longest Common Subsequence.cpp b/Dynamic Programming/Longest Common Subsequence.cpp index 04800f223..07a4730a6 100644 --- a/Dynamic Programming/Longest Common Subsequence.cpp +++ b/Dynamic Programming/Longest Common Subsequence.cpp @@ -18,10 +18,10 @@ int lcs(string a, string b){ } return res[m][n]; } -int main(int argc, char const *argv[]) +int main() { string a,b; cin>>a>>b; 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zVjM_u0gIW$Fg=x+Lbb&F4Y09V70j$r#iDJ^lw$&27ZoW6SWw*FjIh4zrbtI=&(8C1+FGDz>rK|Tu%MN)j Date: Mon, 10 Apr 2017 15:29:58 +0530 Subject: [PATCH 2/6] Longest Common Subsequence with subsequence printing --- .../Longest Common Subsequence.cpp | 52 +++++++++++++++++- .../Longest Common Subsequence.exe | Bin 1854695 -> 1855530 bytes 2 files changed, 50 insertions(+), 2 deletions(-) diff --git a/Dynamic Programming/Longest Common Subsequence.cpp b/Dynamic Programming/Longest Common Subsequence.cpp index 07a4730a6..2b0d00f9d 100644 --- a/Dynamic Programming/Longest Common Subsequence.cpp +++ b/Dynamic Programming/Longest Common Subsequence.cpp @@ -1,23 +1,71 @@ //Longest common subsequence - Dynamic Programming #include using namespace std; + +void Print(int trace[20][20], int m, int n, string a) +{ + if (m==0 || n==0) + { + return; + } + if (trace[m][n]==1) + { + Print(trace, m-1, n-1, a); + cout<res[i][j-1]) + { + res[i][j]=res[i-1][j]; + trace[i][j]=2; // 2 means trace the matrix in upwards direction. + } + else + { + res[i][j]=res[i][j-1]; + trace[i][j]=3; // means trace the matrix in left direction. + } + } } } + Print(trace, m, n, a); return res[m][n]; } + + + + int main() { string a,b; diff --git a/Dynamic Programming/Longest Common Subsequence.exe b/Dynamic Programming/Longest Common Subsequence.exe index b08e32d09b0b270c901e8feaf031066e94e8442e..2383ac0dd0be02898791fce4e7a5b05b3b5132bd 100644 GIT binary patch delta 284500 zcmb@v34DylA3whHJkRF93Sx7RNa9SykvO9Sk%Wx|ao_h*_nEi}l3;C@uoyR0w^miK zj#3fC(JES6SL>=i+o-cub?yH>GrOBbzpwxA_j>)jUUr_D&-?S9&&+&go|$>(dGh

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zs@F`iZ1HJ{GDU6=rRNdRZq+kIpB~DJ zXC8;e(QY;F8CC4-QoWK}+*?$mb@3HDYE Date: Mon, 10 Apr 2017 16:48:35 +0530 Subject: [PATCH 3/6] knaspsack dynamic --- Dynamic Programming/Knapsack.cpp | 37 +++++++++++++++++++++++++++---- Dynamic Programming/Knapsack.exe | Bin 0 -> 1855262 bytes 2 files changed, 33 insertions(+), 4 deletions(-) create mode 100644 Dynamic Programming/Knapsack.exe diff --git a/Dynamic Programming/Knapsack.cpp b/Dynamic Programming/Knapsack.cpp index a06d042f8..4bed36fb2 100644 --- a/Dynamic Programming/Knapsack.cpp +++ b/Dynamic Programming/Knapsack.cpp @@ -1,8 +1,35 @@ //0-1 Knapsack problem - Dynamic programming -#include +//#include +#include using namespace std; + +//void Print(int res[20][20], int i, int j, int capacity) +//{ +// if(i==0 || j==0) +// { +// return; +// } +// if(res[i-1][j]==res[i][j-1]) +// { +// if(i<=capacity) +// { +// cout<res[i][j-1]) +// { +// Print(res, i-1,j, capacity); +// } +// else if(res[i][j-1]>res[i-1][j]) +// { +// Print(res, i,j-1, capacity); +// } +//} + int Knapsack(int capacity,int n,int weight[],int value[]){ - int res[n+1][capacity+1]; + int res[20][20]; for (int i = 0; i < n+1; ++i) { for (int j = 0; j < capacity+1; ++j) @@ -15,9 +42,11 @@ int Knapsack(int capacity,int n,int weight[],int value[]){ res[i][j] = res[i-1][j]; } } +// Print(res, n, capacity, capacity); +// cout<<"\n"; return res[n][capacity]; } -int main(int argc, char const *argv[]) +int main() { int n; cout<<"Enter number of items: "; @@ -38,4 +67,4 @@ int main(int argc, char const *argv[]) cin>>capacity; cout<=uCB-8#SyPb0vQgE0E!$QfLAvI%AqktWq#jR)jdZ*Hz@!7exF}HFx_4K z>Q&XNSMRFos>;i2E$J4EB?JFsF^gpxuJl*Vet-YRkJsJ%)OEMKp7nm;WmfO|eaB9_ zZl+`UjK5qv&?_-=MwceBHF(HO@~f0=U4fb8rpc?Rk#x5YAL zK@ZFQ*F`V2%~X%W)PJqI;rD60-t=g* z;DP=eg2jSt8$LdXwF?O>ndhZjh9rJTO5t$ZvMjrf<+tqjsZ7gUDe3ut-P*fY@(%;^ z-d9K;J?DHRIZ@ zJ>?eruz`b$7+khUmu?ozNL*^WvNZFD!3`e59$%k;OBLX*z;(-E;D(&b;4%wvSq!){ 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z)S0$)ap=`;3WURYuF5ZxWpNSI?60mx+=4=upZiD&8*@b13lnqiHegQW><(`dF%6`+K*bDV zn4Y4JC8wDGK|~rutby%nm3)`>$aafgX{@iu{;@97Pk+mh3rviX$Ez*06Y;Um&-f$9 zHeW=NaGOH|9eCgUX!cL)ULew)k&IUa)}Ix*xwtsI8r?1{gNj+j2H9PCk Date: Sun, 23 Apr 2017 13:17:42 +0530 Subject: [PATCH 5/6] N Queen Problem --- Backtracking/N Queens.cpp | 82 +++++++++++++++++++ .../{Knapsack.cpp => 0-1 Knapsack.cpp} | 0 Strassen Matrix Multiplication.cpp | 60 ++++++++++++++ 3 files changed, 142 insertions(+) create mode 100644 Backtracking/N Queens.cpp rename Dynamic Programming/{Knapsack.cpp => 0-1 Knapsack.cpp} (100%) create mode 100644 Strassen Matrix Multiplication.cpp diff --git a/Backtracking/N Queens.cpp b/Backtracking/N Queens.cpp new file mode 100644 index 000000000..f070c5803 --- /dev/null +++ b/Backtracking/N Queens.cpp @@ -0,0 +1,82 @@ +#include +#define N 4 +using namespace std; + +void printSolution(int board[N][N]) +{ + cout<<"\n"; + for (int i = 0; i < N; i++) + { + for (int j = 0; j < N; j++) + cout<<""<=0 && j>=0; i--, j--) + if (board[i][j]) + return false; + + /* Check lower diagonal on left side */ + for (i=row, j=col; j>=0 && i= N){ + printSolution(board); + return; + } + + /* Consider this column and try placing + this queen in all rows one by one */ + for (int i = 0; i < N; i++) + { + /* Check if queen can be placed on + board[i][col] */ + if ( isSafe(board, i, col) ) + { + /* Place this queen in board[i][col] */ +// cout<<"\n"< +using namespace std; + +Multiply(int A[][], int B[][], int n) +{ + if (n==2) + { + int p1= (a[0][0] + a[1][1])*(b[0][0]+b[1][1]); + int p2= (a[1][0]+a[1][1])*b[0][0]; + int p3= a[0][0]*(b[0][1]-b[1][1]); + int p4= a[1][1]*(b[1][0]-b[0][0]); + int p5= (a[0][0]+a[0][1])*b[1][1]; + int p6= (a[1][0]-a[0][0])*(b[0][0]+b[0][1]); + int p7= (a[0][1]-a[1][1])*(b[1][0]+b[1][1]); + + + int c[n][n]; + c[0][0]=p1+p4-p5+p7; + c[0][1]=p3+p5; + c[1][0]=p2+p4; + c[1][1]=p1-p2+p3+p6; + + return c[][]; + } + else + { + + } + +} + +int main() +{ + int p,q,r,s; + cout<<"Enter the dimensions of Matrices"; + cin>>n; + int A[n][n],; + int B[n][n],; + cout<<"Enter the elements of Matrix A"; + for (int i = 0; i < n; i++) + { + for (int j = 0; j >A[i][j]; + } + } + + + cout<<"Enter the elements of Matrix B"; + for (int i = 0; i < n; i++) + { + for (int j = 0; j >B[i][j]; + } + } + + Multiply(A, B, n); + return 0; +} \ No newline at end of file From 1276e237b1ff1222cc09c82f76109c2cab54c9e8 Mon Sep 17 00:00:00 2001 From: AnupKumarPanwar <1anuppanwar@gmail.com> Date: Sun, 23 Apr 2017 16:32:34 +0530 Subject: [PATCH 6/6] Graph Coloring --- Backtracking/Graph Coloring.cpp | 81 +++++++++++++++++++++++++++++++++ 1 file changed, 81 insertions(+) create mode 100644 Backtracking/Graph Coloring.cpp diff --git a/Backtracking/Graph Coloring.cpp b/Backtracking/Graph Coloring.cpp new file mode 100644 index 000000000..fdf50b288 --- /dev/null +++ b/Backtracking/Graph Coloring.cpp @@ -0,0 +1,81 @@ +#include + +// Number of vertices in the graph +#define V 4 + +void printSolution(int color[]); + +/* A utility function to check if the current color assignment + is safe for vertex v */ +bool isSafe (int v, bool graph[V][V], int color[], int c) +{ + for (int i = 0; i < V; i++) + if (graph[v][i] && c == color[i]) + return false; + return true; +} + +/* A recursive utility function to solve m coloring problem */ +void graphColoring(bool graph[V][V], int m, int color[], int v) +{ + /* base case: If all vertices are assigned a color then + return true */ + if (v == V){ + printSolution(color); + return; + } + + /* Consider this vertex v and try different colors */ + for (int c = 1; c <= m; c++) + { + /* Check if assignment of color c to v is fine*/ + if (isSafe(v, graph, color, c)) + { + color[v] = c; + + /* recur to assign colors to rest of the vertices */ + graphColoring (graph, m, color, v+1); + + + /* If assigning color c doesn't lead to a solution + then remove it */ + color[v] = 0; + } + } + +} + +/* A utility function to print solution */ +void printSolution(int color[]) +{ + printf(" Following are the assigned colors \n"); + for (int i = 0; i < V; i++) + printf(" %d ", color[i]); + printf("\n"); +} + +// driver program to test above function +int main() +{ + /* Create following graph and test whether it is 3 colorable + (3)---(2) + | / | + | / | + | / | + (0)---(1) + */ + bool graph[V][V] = {{0, 1, 1, 1}, + {1, 0, 1, 0}, + {1, 1, 0, 1}, + {1, 0, 1, 0}, + }; + int m = 3; // Number of colors + + int color[V]; + + for (int i = 0; i < V; i++) + color[i] = 0; + + graphColoring(graph, m, color, 0); + return 0; +}