├── LICENSE ├── README.md └── Slides ├── 02_Basic_1.pdf ├── 02_Basic_2.pdf ├── 02_Basic_3.pdf ├── 03_Sorting_1.pdf ├── 03_Sorting_2.pdf ├── 03_Sorting_3.pdf ├── 03_Sorting_4.pdf ├── 03_Sorting_5.pdf ├── 04_DC.pdf ├── 05_Matrix_1.pdf ├── 05_Matrix_2.pdf ├── 05_Matrix_3.pdf ├── 05_Matrix_4.pdf ├── 06_Trees_1.pdf ├── 06_Trees_2.pdf ├── 06_Trees_3.pdf ├── 06_Trees_4.pdf ├── 08_PQ_1.pdf ├── 08_PQ_2.pdf ├── 09_Sets_1.pdf ├── 10_Graphs_1.pdf ├── 10_Graphs_2.pdf ├── 11_Path_1.pdf ├── 11_Path_2.pdf ├── 11_Path_3.pdf ├── 12_Span_1.pdf ├── 12_Span_2.pdf ├── 12_Span_3.pdf ├── 13_Flow_1.pdf ├── 13_Flow_2.pdf ├── 13_Flow_3.pdf ├── 13_Flow_4.pdf ├── 13_Flow_5.pdf ├── 14_BiGraph_1.pdf ├── 14_BiGraph_2.pdf ├── 14_BiGraph_3.pdf ├── 14_BiGraph_4.pdf ├── 14_BiGraph_5.pdf ├── 14_BiGraph_6.pdf ├── 15_DP_1.pdf ├── 15_DP_2.pdf ├── 15_DP_3.pdf ├── 15_DP_4.pdf ├── 15_DP_5.pdf ├── 15_DP_6.pdf ├── 16_String_1.pdf ├── 16_String_2.pdf ├── 16_String_3.pdf ├── 17_Rand_1.pdf ├── 17_Rand_2.pdf ├── 17_Rand_4.pdf ├── 18_Hash_1.pdf ├── 18_Hash_2.pdf ├── 18_Hash_3.pdf ├── 19_Crypto_1.pdf ├── 19_Crypto_2.pdf ├── 19_Crypto_3.pdf ├── 20_CryptoCurrency_1.pdf ├── 20_CryptoCurrency_2.pdf ├── 20_CryptoCurrency_3.pdf ├── 21_Backtracking_1.pdf ├── 21_Backtracking_2.pdf └── 21_Backtracking_3.pdf /LICENSE: -------------------------------------------------------------------------------- 1 | Copyright (c) 2020 Shusen Wang 2 | 3 | Permission is granted to only nonprofit organizations, including schools and 4 | research institutes. Employees of nonprofit organizations are granted, free 5 | of charge, the rights to use, copy, modify, merge, publish, and distribute 6 | everything in this repo. 7 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # CS600: Advanced Algorithms 2 | 3 | 4 | 5 | 1. **Course Info**. 6 | 7 | 2. **Basic Data Structures**. 8 | 9 | * Array, vector, and linked list 10 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/02_Basic_1.pdf)] 11 | [[video (English)](https://youtu.be/Ign3VHqNybs)] 12 | [[video (Chinese)](https://youtu.be/zxHYm3PqdAE)]. 13 | 14 | * Binary search 15 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/02_Basic_2.pdf)] 16 | [[video (English)](https://youtu.be/yfHcb1hXt3s)] 17 | [[video (Chinese)](https://youtu.be/RH3tZldhjJ0)]. 18 | 19 | * Skip list 20 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/02_Basic_3.pdf)] 21 | [[video (English)](https://youtu.be/UGaOXaXAM5M)] 22 | [[video (Chinese)](https://youtu.be/m6m0pnsOzN4)]. 23 | 24 | 25 | 3. **Sorting**. 26 | 27 | * Insertion sort [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/03_Sorting_1.pdf)] 28 | [[video (English)](https://youtu.be/m5UJM-0gtD8)]. 29 | 30 | * Bubble sort [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/03_Sorting_2.pdf)]. 31 | 32 | * Merge sort [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/03_Sorting_3.pdf)]. 33 | 34 | * Quick sort [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/03_Sorting_4.pdf)]. 35 | 36 | * Quick select [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/03_Sorting_5.pdf)]. 37 | 38 | 39 | 4. **Divide and Conquer**. 40 | 41 | * Master theorem [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/04_DC.pdf)]. 42 | 43 | 44 | 5. **Matrix Data Structure and Algorithms**. 45 | 46 | * Addition and multiplication 47 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/05_Matrix_1.pdf)] 48 | [[video (English)](https://youtu.be/ZTtW6SMTmcY)] 49 | [[video (Chinese)](https://youtu.be/PzhMlw7xVs0)]. 50 | 51 | * Dense matrix data structures 52 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/05_Matrix_2.pdf)] 53 | [[video (English)](https://youtu.be/fy_dSZb-Xx8)] 54 | [[video (Chinese)](https://youtu.be/2KsvAa5zJt8)]. 55 | 56 | * Sparse matrix data structures 57 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/05_Matrix_3.pdf)] 58 | 59 | * Fast matrix multiplication and Strassen algorithm 60 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/05_Matrix_4.pdf)]. 61 | 62 | 63 | 6. **Binary Trees**. 64 | 65 | * Tree basics 66 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/06_Trees_1.pdf)] 67 | [[video (English)](https://youtu.be/HWPLrH-n0-k)]. 68 | 69 | * Binary search tree: search and insertion 70 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/06_Trees_2.pdf)]. 71 | 72 | * Binary search tree: traversal 73 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/06_Trees_3.pdf)]. 74 | 75 | * Binary search tree: deletion 76 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/06_Trees_4.pdf)]. 77 | 78 | 79 | 7. **Balanced Trees**. 80 | 81 | 82 | 8. **Priority Queues**. 83 | 84 | * Priority queues [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/08_PQ_1.pdf)]. 85 | 86 | * Binary heaps [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/08_PQ_2.pdf)]. 87 | 88 | 89 | 9. **Disjoint Sets**. 90 | 91 | * Disjoint sets 92 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/09_Sets_1.pdf)]. 93 | 94 | 95 | 10. **Graph Basics**. 96 | 97 | * Graph data structures 98 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/10_Graphs_1.pdf)] 99 | [[video (Chinese)](https://youtu.be/JS9MB8tp0eY)]. 100 | 101 | 102 | * Topological sort 103 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/10_Graphs_2.pdf)]. 104 | 105 | 106 | 11. **Shortest Paths**. 107 | 108 | * Shortest path problem 109 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/11_Path_1.pdf)] 110 | [[video (Chinese)](https://youtu.be/tsVUDM_lYKo)]. 111 | 112 | 113 | * Single-source shortest path in unweighted graphs 114 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/11_Path_2.pdf)] 115 | [[video (Chinese)](https://youtu.be/e7unEsKHW54)]. 116 | 117 | 118 | * Single-source shortest path in weighted graphs 119 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/11_Path_3.pdf)] 120 | [[video (Chinese)](https://youtu.be/uyNJxsH16nc)]. 121 | 122 | 123 | 124 | 12. **Minimum Spanning Trees**. 125 | 126 | * Spanning trees 127 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/12_Span_1.pdf)] 128 | [[video (Chinese)](https://youtu.be/KsobpcI3dN0)]. 129 | 130 | 131 | * Prim's algorithm 132 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/12_Span_2.pdf)] 133 | [[video (Chinese)](https://youtu.be/GLlIaT_PxVE)]. 134 | 135 | 136 | * Kruskal's algorithm 137 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/12_Span_3.pdf)] 138 | [[video (Chinese)](https://youtu.be/Z4jm4o2bt28)]. 139 | 140 | 141 | 142 | 13. **Network Flow Problems**. 143 | 144 | * Maximum flow problem 145 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/13_Flow_1.pdf)] 146 | [[video (Chinese)](https://youtu.be/6DFWUgV5Osc)]. 147 | 148 | 149 | * Ford-Fulkerson algorithm 150 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/13_Flow_2.pdf)] 151 | [[video (Chinese)](https://youtu.be/8sLON0DqLZo)]. 152 | 153 | 154 | * Edmonds–Karp algorithm 155 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/13_Flow_3.pdf)] 156 | [[video (Chinese)](https://youtu.be/l-5W0ffPsDo)]. 157 | 158 | 159 | * Dinic's algorithm 160 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/13_Flow_4.pdf)] 161 | [[video (Chinese)](https://youtu.be/mtxzaGFLIAo)]. 162 | 163 | 164 | * Max-flow and min-cut 165 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/13_Flow_5.pdf)] 166 | [[video (Chinese)](https://youtu.be/Ev_lFSIzNh4)]. 167 | 168 | 169 | 170 | 14. **Bipartite Graphs**. 171 | 172 | * Testing bipartiteness 173 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/14_BiGraph_1.pdf)] 174 | [[video (Chinese)](https://youtu.be/lyH43SAcyjc)]. 175 | 176 | 177 | * Maximum cardinality bipartite matching 178 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/14_BiGraph_2.pdf)] 179 | [[video (Chinese)](https://youtu.be/cndaoZ6XTxA)]. 180 | 181 | 182 | * Maximum weight bipartite matching 183 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/14_BiGraph_3.pdf)] 184 | [[video (Chinese)](https://youtu.be/7yN_KZijerA)]. 185 | 186 | 187 | * Hungarian algorithm 188 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/14_BiGraph_4.pdf)] 189 | [[video (Chinese)](https://youtu.be/bSoZQkxc1Zw)]. 190 | 191 | 192 | * Stable marriage problem 193 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/14_BiGraph_5.pdf)] 194 | [[video (Chinese)](https://youtu.be/qwA5QNqyK08)]. 195 | 196 | 197 | * Gale-Shapley algorithm 198 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/14_BiGraph_6.pdf)] 199 | [[video (Chinese)](https://youtu.be/nYTTv9GL7gw)]. 200 | 201 | 202 | 203 | 15. **Dynamic Programming**. 204 | 205 | * Fibonacci numbers 206 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/15_DP_1.pdf)]. 207 | 208 | * Climbing stairs 209 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/15_DP_2.pdf)]. 210 | 211 | * Longest common substring 212 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/15_DP_3.pdf)]. 213 | 214 | * Edit distance 215 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/15_DP_4.pdf)]. 216 | 217 | * Combinations of coins 218 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/15_DP_5.pdf)]. 219 | 220 | * Knapsack 221 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/15_DP_6.pdf)]. 222 | 223 | 224 | 16. **Strings**. 225 | 226 | * Tries. 227 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/16_String_1.pdf)]. 228 | 229 | * KMP algorithm. 230 | [[slides-1](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/16_String_2.pdf)] 231 | [[slides-2](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/16_String_3.pdf)]. 232 | 233 | 234 | 17. **Randomized Algorithms**. 235 | 236 | * Monte Carlo algorithms 237 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/17_Rand_1.pdf)] 238 | [[video (English)](https://youtu.be/CmpWM2HMhxw)] 239 | [[video (Chinese)](https://youtu.be/XRGquU0ZJok)]. 240 | 241 | * Concentration inequalities 242 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/17_Rand_2.pdf)]. 243 | 244 | * Pseudo random number generators. 245 | 246 | * Random shuffling 247 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/17_Rand_4.pdf)] 248 | [[video (English)](https://youtu.be/xaSBvljOQkc)] 249 | [[video (Chinese)](https://youtu.be/1m68x5Gy5No)]. 250 | 251 | * Fingerprinting. 252 | 253 | 254 | 18. **Hashing**. 255 | 256 | * Hash table 257 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/18_Hash_1.pdf)]. 258 | 259 | * Collision-resistant hash 260 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/18_Hash_2.pdf)]. 261 | 262 | * Locality sensitive hashing 263 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/18_Hash_3.pdf)]. 264 | 265 | 266 | 19. **Cryptographic Algorithms**. 267 | 268 | * RSA algorithm 269 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/19_Crypto_1.pdf)]. 270 | 271 | * Digital signature 272 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/19_Crypto_2.pdf)]. 273 | 274 | * Homomorphic encryption 275 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/19_Crypto_3.pdf)]. 276 | 277 | 278 | 20. **Crypto Currency**. 279 | 280 | * Decentralized payment system 281 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/20_CryptoCurrency_1.pdf)]. 282 | 283 | * Blockchain 284 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/20_CryptoCurrency_2.pdf)]. 285 | 286 | * Merkel tree 287 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/20_CryptoCurrency_3.pdf)]. 288 | 289 | 290 | 21. **Backtracking**. 291 | 292 | * Turnpike reconstruction 293 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/21_Backtracking_1.pdf)]. 294 | 295 | * Eight queens problem 296 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/21_Backtracking_2.pdf)]. 297 | 298 | * Hamiltonian cycle 299 | [[slides](https://github.com/wangshusen/AdvancedAlgorithms/blob/master/Slides/21_Backtracking_3.pdf)]. 300 | 301 | 302 | 303 | 304 | 305 | -------------------------------------------------------------------------------- /Slides/02_Basic_1.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wangshusen/AdvancedAlgorithms/3f3e0b8db634cec2a09128fdc7c98dddea308b7c/Slides/02_Basic_1.pdf -------------------------------------------------------------------------------- /Slides/02_Basic_2.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wangshusen/AdvancedAlgorithms/3f3e0b8db634cec2a09128fdc7c98dddea308b7c/Slides/02_Basic_2.pdf -------------------------------------------------------------------------------- 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