From 9a0293ba77d25cf5f420ac62e701d0c636b34de6 Mon Sep 17 00:00:00 2001 From: Nitesh Date: Sat, 8 Oct 2022 15:13:29 +0530 Subject: [PATCH] added algorithms --- BFS-DFS/bfs.exe | Bin 0 -> 157596 bytes BFS-DFS/bfs_dfs.cpp | 93 ++++++++++++++++++++++++++++++++ BFS-DFS/bfs_dfs.exe | Bin 0 -> 160307 bytes BellManFord/BellManFord.c | 90 +++++++++++++++++++++++++++++++ BellManFord/BellManFord.exe | Bin 0 -> 47830 bytes FloydWarshall/FloydWarshall.cpp | 57 ++++++++++++++++++++ FloydWarshall/FloydWarshall.exe | Bin 0 -> 50296 bytes FractionalKnapsack/knapsack.cpp | 82 ++++++++++++++++++++++++++++ FractionalKnapsack/knapsack.exe | Bin 0 -> 50097 bytes KnapSack01/knapsack01.cpp | 29 ++++++++++ KnapSack01/knapsack01.exe | Bin 0 -> 50801 bytes MatrixChainOrder/init.cpp | 11 ++++ MergeSort/22Mergesort.pdf | Bin 0 -> 6631542 bytes MergeSort/MIT6_006F11_lec03.pdf | Bin 0 -> 281698 bytes MergeSort/ini.exe | Bin 0 -> 48057 bytes MergeSort/init.cpp | 67 +++++++++++++++++++++++ MergeSort/init.exe | Bin 0 -> 48694 bytes NQueen/NQueen.cpp | 47 ++++++++++++++++ NQueen/NQueen.exe | Bin 0 -> 49948 bytes Prims/prims.cpp | 60 +++++++++++++++++++++ Prims/prims.exe | Bin 0 -> 50148 bytes QuickSort/quickSort.cpp | 81 ++++++++++++++++++++++++++++ QuickSort/quickSort.exe | Bin 0 -> 51243 bytes 23 files changed, 617 insertions(+) create mode 100644 BFS-DFS/bfs.exe create mode 100644 BFS-DFS/bfs_dfs.cpp create mode 100644 BFS-DFS/bfs_dfs.exe create mode 100644 BellManFord/BellManFord.c create mode 100644 BellManFord/BellManFord.exe create mode 100644 FloydWarshall/FloydWarshall.cpp create mode 100644 FloydWarshall/FloydWarshall.exe create mode 100644 FractionalKnapsack/knapsack.cpp create mode 100644 FractionalKnapsack/knapsack.exe create mode 100644 KnapSack01/knapsack01.cpp create mode 100644 KnapSack01/knapsack01.exe create mode 100644 MatrixChainOrder/init.cpp create mode 100644 MergeSort/22Mergesort.pdf create mode 100644 MergeSort/MIT6_006F11_lec03.pdf create mode 100644 MergeSort/ini.exe create mode 100644 MergeSort/init.cpp create mode 100644 MergeSort/init.exe create mode 100644 NQueen/NQueen.cpp create mode 100644 NQueen/NQueen.exe create mode 100644 Prims/prims.cpp create mode 100644 Prims/prims.exe create mode 100644 QuickSort/quickSort.cpp create mode 100644 QuickSort/quickSort.exe diff --git a/BFS-DFS/bfs.exe b/BFS-DFS/bfs.exe new file mode 100644 index 0000000000000000000000000000000000000000..b898387ca589d5f0efba4ff0d92cf9d2ef712251 GIT binary patch literal 157596 zcmeEv4}23gZz?Swxjo31zps-rlh)vUH)r+-*fLwG6^jWd4E2? z_xo*NIy3j)bME5;cW?kVDM2+%8e*A4(6B9{MDz3LQ)@qdxnZaCK1-pXNu%lE1@o}3V(i2CG6F)QhG8X339pl4- zcEra4Ua$UT?W8i+uZ0RBTh{JlwFN&@yQ$MSBdJuBrnEa0-Y#wS)af%>;l9gp%0)X1 z&Y!ZPz@Ie1JbUVlY3zO;ng~@2z8?Zj*ad5M%{A=0gWA<8?F70BeptI}uVV#_zDA{; zF1%gJ?5U|Ktlfk3_X(w)KD?cIHf!|X@W<7Y?9Q}W+=5%U@ex62k}h47edA@gFxBrv zcdIwX*7*H5PkYyOQom+gd#06{XuIA@X69WF+Fd6_Q~d|HYiKexkie$BD|fnDllSTc zk94JQ;^iP1N z3V$a9?p_BB9R8n)mxh(N*We&7ysu4V)Jy9@dHoz}pl9ro@A0fcsd7rZ-$ 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this->vertices = v; + this->adjList.resize(v); + } + + void addEdge(int source, int dest) + { + this->adjList[source].push_back(dest); + } + + void bfs(int source) + { + std::list queue; + std::vector visited; + visited.resize(this->vertices, false); + queue.push_back(source); + visited[source] = true; + std::cout << "\nBreadth First Search: "; + while (!queue.empty()) + { + int curr = queue.front(); + std::cout << " -> " << curr; + queue.pop_front(); + for (auto vertex : this->adjList[curr]) + { + if (!visited[vertex]) + { + visited[vertex] = true; + queue.push_back(vertex); + } + } + } + } + + void dfs(int source) + { + std::stack s; + std::vector visited; + visited.resize(this->vertices, false); + s.push(source); + visited[source] = true; + std::cout << "\nDepth First Search: "; + while (!s.empty()) + { + int curr = s.top(); + std::cout << " -> " << curr; + s.pop(); + for (auto vertex : this->adjList[curr]) + { + if (!visited[vertex]) + { + visited[vertex] = true; + s.push(vertex); + } + } + } + } +}; + +// main() +int main(int argc, char *argv[]) +{ + int vertices, edges, source, dest; + std::cout << "\nVertices & Egdes: "; + std::cin >> vertices >> edges; + std::cout << "Edges Source Destination: " << std::endl; + + Graph graph(vertices); + for (int idx = 0; idx < edges; ++idx) + { + std::cin >> source >> dest; + graph.addEdge(source, dest); + } + std::cout << "\nSOurce: " << std::endl; + std::cin >> source; + graph.bfs(source); + graph.dfs(source); + return 0; +} diff --git a/BFS-DFS/bfs_dfs.exe b/BFS-DFS/bfs_dfs.exe new file mode 100644 index 0000000000000000000000000000000000000000..70cfac59d29d9b6dec714c8b5b2acb64f9f90e0e GIT binary patch literal 160307 zcmeFa4SW>U^*27VnUIC7*#!bbjk4HPKwg8Wpr{GSLeK;vNfZTKLb8FByqU}bib!A+ zWx8&gT5N5LE%?%+wJmKC&{CQZBw(ox7BvbgYOEVKYD5a*MfdrhduMiMLqe8)`g{J* z=l^tJGBfwybMAS&=bU@*>}>YE^+Jpw2ojD!KoEA~OrKQt_riZ_P@ORRl>}j1|G$se zDQ5kBMBdVpYHMXx#geLmGHYQ$d3l9wUF@`0xyr32<<^Wjxz@6ZBIo!^E*W4`QRmnN 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{ + printf("\n Enter Edge %d info U=%d V=%d W=%d: ", e, G->edge[e].u, G->edge[e].v, G->edge[e].w); + } + return G; +} + +int BellManFord(struct Graph *G, int source) +{ + int distance[G->vertices], predesessor[G->edges]; + for (int d = 0; d < G->vertices; d++) + { + distance[d] = INF; + predesessor[d] = -1; + } + distance[source] = 0; + + for (int v = 0; v < G->vertices - 1; v++) + { + for (int e = 0; e < G->edges; e++) + { + if (distance[G->edge[e].v] > (distance[G->edge[e].u] + G->edge[e].w)) + { + distance[G->edge[e].v] = distance[G->edge[e].u] + G->edge[e].w; + predesessor[G->edge[e].v] = G->edge[e].u; + } + } + } + + for (int e = 0; e < G->edges - 1; e++) + { + if (distance[G->edge[e].v] > (distance[G->edge[e].u] + G->edge[e].w)) + { + printf("Has Negetive Cycle!"); + return -1; + } + } + printf("Distance Array D: | "); + for (int v = 0; v < G->vertices; v++) + { + printf(" %d |", distance[v]); + } + printf("\t Predecessor Array: | "); + for (int p = 0; p < G->vertices; p++) + { + printf(" %d |", predesessor[p]); + } + return 1; +} + +// Main Function +int main() +{ + struct Graph *g = initialize_Graph(); + int source; + printf("\n Source: "); + scanf("%d", &source); + BellManFord(g, source); + return 0; +} \ No newline at end of file diff --git a/BellManFord/BellManFord.exe b/BellManFord/BellManFord.exe new file mode 100644 index 0000000000000000000000000000000000000000..c66d5b219cb07db3629075a829186375544ad3e6 GIT binary patch literal 47830 zcmeIb3t&{$wKu-c%p@5|$RrRRYSe)S0fmqtAlRUpB$J2aWgdX?IOZ{dNM26P018Ox zB+9vCY}$Hny|=W2k6vxP>TMO!S{fb_>}S1^qM}lZitWT;OO+xIWxn6q`o)k8_rOOv0b>*k7z!COw(AG zyBRB%5?RbY{Z}o!hp|x>#*VQ#DPFQT*<2tk!3kLZXk3$Umg6Mt=pJy=Tf#|Keql7p&osB=F z5S2At2;Aeijg{Y)USFfs;GWAU#|_HNuE!a1WV4Lkbgw|{k3+_7IPEyIa7G-!%brQ{ zaLkLxpEjHcIP-8u9E6u%+ulwf(vfx0pXj556c#zA;9Getq>5x5s8;Vr`%ab&aXoSC!cbI2=K;L?xN ziE{A9fNa@w=OY!hbm4oH;ywknqU!2(N?gjf3OOy^aI8en}eM zHw+xQLpgG0&dcCHxIT2#@H#mt{D=636MyF$|B2K%_ 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std::cout << "Items: "; + std::cin >> n; + std::cout << "\nCapacity: "; + std::cin >> capacity; + float profit[n], weight[n]; + float ratio[n]; + for (int item = 0; item < n; item++) + { + std::cout << "weight profit: "; + std::cin >> weight[item] >> profit[item]; + ratio[item] = profit[item] / weight[item]; + } + + // sort by ratio + for (int i = 0; i < n; i++) + { + for (int j = i + 1; j < n; j++) + { + if (ratio[i] > ratio[j]) + { + ratio[i] = ratio[i] + ratio[j]; + ratio[j] = ratio[i] - ratio[j]; + ratio[i] = ratio[i] - ratio[j]; + + profit[i] = profit[i] + profit[j]; + profit[j] = profit[i] - profit[j]; + profit[i] = profit[i] - profit[j]; + + weight[i] = weight[i] + weight[j]; + weight[j] = weight[i] - weight[j]; + weight[i] = weight[i] - weight[j]; + } + } + } + std::cout << "Max Profit: " << fractionalKnapsack1(weight, profit, capacity, n); + return 0; +} \ No newline at end of file diff --git a/FractionalKnapsack/knapsack.exe b/FractionalKnapsack/knapsack.exe new file mode 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+ 1, high); + merge(arr, low, mid, high); + } + return; +} + +int main() +{ + int arr[5] = {4, 3, 2, 1, 5}; + MergeSort(arr, 0, 4); + int index = 0; + while (index <= 4) + { + std::cout << arr[index] << " "; + index++; + } + return 0; +} \ No newline at end of file diff --git a/MergeSort/init.exe b/MergeSort/init.exe new file mode 100644 index 0000000000000000000000000000000000000000..64b0f702418e7959e62ec06dc80136fe924822a3 GIT binary patch literal 48694 zcmeIb3t&{$wKu-c%!CXiWF`_GYSe)a0tz94fS{n6Boh+Ji#&J;cnHY^B6*pd0ThtX zNtE-AX;W|SZEs7jFWRfEx7XexptUqSOt9B_qeVrfEmf=&LMqhOXE@B*UR>$O;(xFFrw!RjH@uL< zb`Ag4_`Oo$uf|ubt!s5Pw=}J3scLXlS2Z>^DX!H%SBt;VRoCdsEh%?3G}ZXhMvffe z)>xN%87q{M*rN^eRcm-!lcb}2z)5ZiCtdlG zjuaAUxf0ilF_*w40;0j8T|}abv9@?|``7%nJQrtjiHV0?ak;T%x(^>>#7U{AIryb|5IHL~WWlg7Y za6FuVKg~E3ac1L;ItVXqb!#huHqxIq`V)J!QMq-ZTyDcI;83~6W?U{`PFV#(xgL+< zhV-DijXF4y31l&+0$pt<-k|2$E6Ra z3+D=)QAZYYW>3$|;E)2Uv(q?<-)0Vq{NZ@BX7Ti4Ubpx|cn?HS_zlOKeG9+m@;NoU 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(j = 1; j < q - 1; j++) + { + if ((board[j] == c) || abs(board[j] - c) == abs(j - q)) + { + return false; + } + } + return true; +} + +bool NQueen(int q, int r) +{ + int i = 1; + for (i = 1; i < r; i++) + { + if (is_Safe(q, i)) + { + board[q] = i; + if (q == r) + { + NQueen(q + 1, r); + } + } + } + return true; +} + +int main() +{ + NQueen(0, 8); + int c; + for (c = 0; c < 8; c++) + { + printf(" | %d", board[c]); + } + + return 0; +} \ No newline at end of file diff --git a/NQueen/NQueen.exe b/NQueen/NQueen.exe new file mode 100644 index 0000000000000000000000000000000000000000..5a857f89ef4b397033ad85a688007649634ba366 GIT binary patch literal 49948 zcmeIb3w#vS`8R%McS9BuvKt798g-#jK_Da$B3RJeHY6oCbK#CdE*pq$E+(^F1SE75 zWq#YVX=^XP{^-wpi>+;Gi-4EfaFL)dwP;bPQj3apW6)Bx$W8bCKIhEr>|_(_+kgM> z+qZA$lgZ5ap65L0InQ~{b1pM`rg%v=vogkPI71=EcH>G%7XN?gf9;4)xaO$@wqy8j z#_yJjelxyuRYRMrrL}owYjvZmwz{dQS#i~PT&=z)S3{F4ue8F|*j(pH9XWDDipILk z%~+9?z<%3sZw>o0V^tQ$jBOBNFXX} zxDdF;?_xTV$r?^5vFOO^R|nfEy|Y 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selected[v] = false; + } + selected[0] = true; + edges = 0; + while (edges < vertices - 1) + { + s = 0; + d = 0; + min = INF; + for (int v = 0; v < vertices; ++v) + { + if (selected[v]) + { + for (int e = 0; e < vertices; ++e) + { + if (!selected[e] && graph[v][e]) + { + if (graph[v][e] < min) + { + min = graph[v][e]; + s = v; + d = e; + } + } + } + } + } + ++edges; + std::cout << s << "->" << d << ": " << graph[s][d] << std::endl; + selected[d] = true; + } +} + +int main() +{ + int vertices; + std::cout << "\nNo Of Vertices: "; + std::cin >> vertices; + std::cout << "\nEnter Weights as Matrix:"; + for (int s = 0; s < vertices; ++s) + { + for (int d = 0; d < vertices; ++d) + { + std::cin >> graph[s][d]; + } + } + + prims(vertices); + return 0; +} \ No newline at end of file diff --git a/Prims/prims.exe b/Prims/prims.exe new file mode 100644 index 0000000000000000000000000000000000000000..0903505d13b7a607adb0ba18677fddcab42c47b2 GIT binary patch literal 50148 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int len; + int *arr; + Quick(int len, int arr[]) + { + this->len = len; + this->arr = new int[len]; + for (int idx = 0; idx < len; ++idx) + { + this->arr[idx] = arr[idx]; + } + } + + void swap(int idx, int idy) + { + this->arr[idx] = this->arr[idx] + this->arr[idy]; + this->arr[idy] = this->arr[idx] - this->arr[idy]; + this->arr[idx] = this->arr[idx] - this->arr[idy]; + } + + int divide(int left, int right) + { + int pivot = this->arr[left]; + int l = left, r = right; + while (l < r) + { + while (this->arr[l] <= pivot) + { + ++l; + } + while (this->arr[r] > pivot) + { + --r; + } + if (l < r) + { + swap(l, r); + } + } + swap(left, r); + return r; + } + + void QuickSort(int left, int right) + { + if (left < right) + { + int p = divide(left, right); + QuickSort(left, p - 1); + QuickSort(p + 1, right); + } + } +}; + +// Main +int main() +{ + int i = 0, len; + std::cout << "\nEnter Length Of Data: "; + std::cin >> len; + int arr[len]; + while (i < len) + { + std::cin >> arr[i]; + i++; + } + std::cout << "\nAfter InsertionSort(): "; + Quick sorter = Quick(len, arr); + sorter.QuickSort(0, len - 1); + i = 0; + while (i < len) + { + std::cout << arr[i] << " "; + i++; + } + return 0; +} \ No newline at end of file diff --git a/QuickSort/quickSort.exe b/QuickSort/quickSort.exe new file mode 100644 index 0000000000000000000000000000000000000000..cc1da476bbb8f8b946bb0329f71db958b73365d6 GIT binary patch literal 51243 zcmeIb4SZD9nLmE+%p@5|$V?!-s8I(x3MhmG0)m3(Z9*b>GcUXdcnQe_B6%~p11KP& zlPGt`v}xDfbz9ovOS{^2Tid08*1CZp!LDngMN5^oRI!~HbP*{Au+0DaoOAEoxif)w z`|JMxpZ%>DZtlI`^E}Ua&U2pgoR@p&-jcg}n3XYR!yXDTwjW2@viaXD|LH(-^7Sty zvpu8!WAc8f_&+9Bt#4>|wYIgaYpZE;)z&mOwdl)O0lG!~oUR%p{GIqa(u@fvoN|Y=vHV;I1V+S@c7Dp%ca_poXodYMmCG2$M zTL!Lh5eJmY#h6Rb5(DvI(+=XIhq2)Var&41wLQn!q!Ac2) z58M1C{AtCWj6ENF#71=KYunoi+Dv~s=uhm{LHRa_e7OyKKtuUfm}$9wc@e$`l2ePjD}GqPqus#Fovnb7#$7z>!z4!(jls z3;P=E5nDEM=FZB>&0LfD3$C-$C2am4@65&Vgi^D~0q(fKW&v+_6K zr-aY|XCAyC5(NL>Q(3y!;W|PFl_KaBGL$XQyt9A^Y`l27jJbe%qV>xF6X?Ltf@@MV 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