Spaces:
Running
Running
File size: 20,027 Bytes
9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 cfa3b18 9835247 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 |
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Computer Science Batch 01 - Algorithms & Data Structures - Programming Framework Analysis</title>
<style>
body {
font-family: 'Times New Roman', Times, serif, 'Arial Unicode MS';
margin: 0;
background: #ffffff;
color: #000000;
line-height: 1.6;
font-size: 12pt;
}
.container {
max-width: 1000px;
margin: 0 auto;
padding: 1.5rem;
}
h1, h2, h3 {
color: #000000;
margin-top: 1.5rem;
margin-bottom: 0.75rem;
}
h1 {
font-size: 18pt;
text-align: center;
}
h2 {
font-size: 16pt;
border-bottom: 2px solid #000;
padding-bottom: 0.5rem;
}
h3 {
font-size: 14pt;
}
p {
margin-bottom: 1rem;
text-align: justify;
}
.figure {
margin: 2rem 0;
text-align: center;
border: 1px solid #ccc;
padding: 1rem;
background: #f9f9f9;
}
.figure-caption {
margin-top: 1rem;
font-style: italic;
text-align: left;
}
.mermaid {
background: white;
padding: 1rem;
border-radius: 4px;
}
.navigation {
margin: 3rem 0;
padding: 1rem;
background: #f8f9fa;
border-radius: 8px;
}
.nav-links {
display: flex;
flex-wrap: wrap;
gap: 1rem;
justify-content: center;
}
.nav-link {
color: #007bff;
text-decoration: none;
padding: 0.5rem 1rem;
border: 1px solid #007bff;
border-radius: 4px;
transition: all 0.3s ease;
}
.nav-link:hover {
background: #007bff;
color: white;
}
.footer {
margin-top: 3rem;
padding: 1rem;
background: #f8f9fa;
border-radius: 8px;
text-align: center;
}
.contact-info {
margin-top: 1rem;
}
.contact-info p {
margin: 0.25rem 0;
text-align: center;
}
</style>
<script src="https://cdn.jsdelivr.net/npm/mermaid@10.6.1/dist/mermaid.min.js"></script>
<script>
mermaid.initialize({
startOnLoad: true,
theme: 'default',
flowchart: {
useMaxWidth: false,
htmlLabels: true,
curve: 'linear',
nodeSpacing: 30,
rankSpacing: 30,
padding: 10
},
themeVariables: {
fontFamily: 'Arial Unicode MS, Arial, sans-serif'
}
});
</script>
</head>
<body>
<div class="container">
<h1>Computer Science Batch 01 - Algorithms & Data Structures - Programming Framework Analysis</h1>
<p>This document presents computer science processes analyzed using the Programming Framework methodology. Each process is represented as a computational flowchart with standardized color coding: Red for triggers/inputs, Yellow for structures/objects, Green for processing/operations, Blue for intermediates/states, and Violet for products/outputs. Yellow nodes use black text for optimal readability, while all other colors use white text.</p>
<h2>1. Sorting Algorithms Process</h2>
<div class="figure">
<div class="mermaid">
graph TD
A1[Input Array] --> B1[Algorithm Selection]
C1[Array Analysis] --> D1[Complexity Analysis]
E1[Memory Constraints] --> F1[Optimization Strategy]
B1 --> G1[Comparison Based Sorting]
D1 --> H1[Time Complexity O n squared]
F1 --> I1[Space Complexity Analysis]
G1 --> J1[Bubble Sort Algorithm]
H1 --> K1[Quick Sort Algorithm]
I1 --> L1[Merge Sort Algorithm]
J1 --> M1[Adjacent Element Comparison]
K1 --> L1
L1 --> N1[Divide and Conquer]
M1 --> O1[Element Swapping]
N1 --> P1[Pivot Selection]
O1 --> Q1[Sorting Process]
P1 --> R1[Partitioning Strategy]
Q1 --> S1[Recursive Sorting]
R1 --> T1[Sorting Algorithm Result]
S1 --> U1[Algorithm Validation]
T1 --> V1[Sorted Array Output]
U1 --> W1[Sorting Algorithm Output]
V1 --> X1[Sorting Algorithm Analysis]
W1 --> Y1[Sorting Algorithm Final Result]
X1 --> Z1[Sorting Algorithm Analysis Complete]
style A1 fill:#ff6b6b,color:#fff
style C1 fill:#ff6b6b,color:#fff
style E1 fill:#ff6b6b,color:#fff
style B1 fill:#ffd43b,color:#000
style D1 fill:#ffd43b,color:#000
style F1 fill:#ffd43b,color:#000
style G1 fill:#ffd43b,color:#000
style H1 fill:#ffd43b,color:#000
style I1 fill:#ffd43b,color:#000
style J1 fill:#ffd43b,color:#000
style K1 fill:#ffd43b,color:#000
style L1 fill:#ffd43b,color:#000
style M1 fill:#ffd43b,color:#000
style N1 fill:#ffd43b,color:#000
style O1 fill:#ffd43b,color:#000
style P1 fill:#ffd43b,color:#000
style Q1 fill:#ffd43b,color:#000
style R1 fill:#ffd43b,color:#000
style S1 fill:#ffd43b,color:#000
style T1 fill:#ffd43b,color:#000
style U1 fill:#ffd43b,color:#000
style V1 fill:#ffd43b,color:#000
style W1 fill:#ffd43b,color:#000
style X1 fill:#ffd43b,color:#000
style Y1 fill:#ffd43b,color:#000
style Z1 fill:#ffd43b,color:#000
style M1 fill:#51cf66,color:#fff
style N1 fill:#51cf66,color:#fff
style O1 fill:#51cf66,color:#fff
style P1 fill:#51cf66,color:#fff
style Q1 fill:#51cf66,color:#fff
style R1 fill:#51cf66,color:#fff
style S1 fill:#51cf66,color:#fff
style T1 fill:#51cf66,color:#fff
style U1 fill:#51cf66,color:#fff
style V1 fill:#51cf66,color:#fff
style W1 fill:#51cf66,color:#fff
style X1 fill:#51cf66,color:#fff
style Y1 fill:#51cf66,color:#fff
style Z1 fill:#51cf66,color:#fff
style Z1 fill:#b197fc,color:#fff
</div>
<div style="margin-top: 1rem; display: flex; flex-wrap: wrap; gap: 0.5rem; justify-content: center;">
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ff6b6b;"></span>Triggers & Inputs
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ffd43b;"></span>Algorithm Methods
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#51cf66;"></span>Sorting Operations
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#74c0fc;"></span>Intermediates
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#b197fc;"></span>Products
</div>
</div>
<div class="figure-caption">
<strong>Figure 1.</strong> Sorting Algorithms Process. This computer science process visualization demonstrates comparison-based sorting algorithms. The flowchart shows input array and complexity analysis, algorithm methods and selection, sorting operations and comparisons, intermediate results, and final sorted array outputs.
</div>
</div>
<h2>2. Graph Algorithms Process</h2>
<div class="figure">
<div class="mermaid">
graph TD
A2[Graph Representation] --> B2[Graph Type Analysis]
C2[Vertex Edge Analysis] --> D2[Traversal Strategy]
E2[Path Finding] --> F2[Algorithm Selection]
B2 --> G2[Directed Graph]
D2 --> H2[Undirected Graph]
F2 --> I2[Weighted Graph]
G2 --> J2[Depth First Search]
H2 --> K2[Breadth First Search]
I2 --> L2[Dijkstra Algorithm]
J2 --> M2[Stack Based Traversal]
K2 --> L2
L2 --> N2[Queue Based Traversal]
M2 --> O2[Priority Queue]
N2 --> P2[Shortest Path]
O2 --> Q2[Graph Algorithm Process]
P2 --> R2[Minimum Spanning Tree]
Q2 --> S2[Topological Sorting]
R2 --> T2[Graph Algorithm Result]
S2 --> U2[Algorithm Validation]
T2 --> V2[Graph Analysis Output]
U2 --> W2[Graph Algorithm Output]
V2 --> X2[Graph Algorithm Analysis]
W2 --> Y2[Graph Algorithm Final Result]
X2 --> Z2[Graph Algorithm Analysis Complete]
style A2 fill:#ff6b6b,color:#fff
style C2 fill:#ff6b6b,color:#fff
style E2 fill:#ff6b6b,color:#fff
style B2 fill:#ffd43b,color:#000
style D2 fill:#ffd43b,color:#000
style F2 fill:#ffd43b,color:#000
style G2 fill:#ffd43b,color:#000
style H2 fill:#ffd43b,color:#000
style I2 fill:#ffd43b,color:#000
style J2 fill:#ffd43b,color:#000
style K2 fill:#ffd43b,color:#000
style L2 fill:#ffd43b,color:#000
style M2 fill:#ffd43b,color:#000
style N2 fill:#ffd43b,color:#000
style O2 fill:#ffd43b,color:#000
style P2 fill:#ffd43b,color:#000
style Q2 fill:#ffd43b,color:#000
style R2 fill:#ffd43b,color:#000
style S2 fill:#ffd43b,color:#000
style T2 fill:#ffd43b,color:#000
style U2 fill:#ffd43b,color:#000
style V2 fill:#ffd43b,color:#000
style W2 fill:#ffd43b,color:#000
style X2 fill:#ffd43b,color:#000
style Y2 fill:#ffd43b,color:#000
style Z2 fill:#ffd43b,color:#000
style M2 fill:#51cf66,color:#fff
style N2 fill:#51cf66,color:#fff
style O2 fill:#51cf66,color:#fff
style P2 fill:#51cf66,color:#fff
style Q2 fill:#51cf66,color:#fff
style R2 fill:#51cf66,color:#fff
style S2 fill:#51cf66,color:#fff
style T2 fill:#51cf66,color:#fff
style U2 fill:#51cf66,color:#fff
style V2 fill:#51cf66,color:#fff
style W2 fill:#51cf66,color:#fff
style X2 fill:#51cf66,color:#fff
style Y2 fill:#51cf66,color:#fff
style Z2 fill:#51cf66,color:#fff
style Z2 fill:#b197fc,color:#fff
</div>
<div style="margin-top: 1rem; display: flex; flex-wrap: wrap; gap: 0.5rem; justify-content: center;">
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ff6b6b;"></span>Triggers & Inputs
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ffd43b;"></span>Graph Methods
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#51cf66;"></span>Traversal Operations
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#74c0fc;"></span>Intermediates
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#b197fc;"></span>Products
</div>
</div>
<div class="figure-caption">
<strong>Figure 2.</strong> Graph Algorithms Process. This computer science process visualization demonstrates graph traversal and path finding algorithms. The flowchart shows graph representation and vertex analysis, graph methods and traversal strategies, traversal operations and path finding, intermediate results, and final graph algorithm outputs.
</div>
</div>
<h2>3. Dynamic Programming Process</h2>
<div class="figure">
<div class="mermaid">
graph TD
A3[Problem Analysis] --> B3[Optimal Substructure]
C3[Overlapping Subproblems] --> D3[Recursive Formulation]
E3[Memoization Strategy] --> F3[Tabulation Method]
B3 --> G3[Subproblem Identification]
D3 --> H3[Recursive Solution]
F3 --> I3[Bottom Up Approach]
G3 --> J3[State Definition]
H3 --> K3[Top Down Approach]
I3 --> L3[Table Construction]
J3 --> M3[Transition Function]
K3 --> L3
L3 --> N3[Space Optimization]
M3 --> O3[Base Case Definition]
N3 --> P3[Time Complexity]
O3 --> Q3[Dynamic Programming Process]
P3 --> R3[Algorithm Validation]
Q3 --> S3[Solution Construction]
R3 --> T3[Dynamic Programming Result]
S3 --> U3[Dynamic Programming Validation]
T3 --> V3[Dynamic Programming Parameters]
U3 --> W3[Dynamic Programming Output]
V3 --> X3[Dynamic Programming Analysis]
W3 --> Y3[Dynamic Programming Final Result]
X3 --> Z3[Dynamic Programming Analysis Complete]
style A3 fill:#ff6b6b,color:#fff
style C3 fill:#ff6b6b,color:#fff
style E3 fill:#ff6b6b,color:#fff
style B3 fill:#ffd43b,color:#000
style D3 fill:#ffd43b,color:#000
style F3 fill:#ffd43b,color:#000
style G3 fill:#ffd43b,color:#000
style H3 fill:#ffd43b,color:#000
style I3 fill:#ffd43b,color:#000
style J3 fill:#ffd43b,color:#000
style K3 fill:#ffd43b,color:#000
style L3 fill:#ffd43b,color:#000
style M3 fill:#ffd43b,color:#000
style N3 fill:#ffd43b,color:#000
style O3 fill:#ffd43b,color:#000
style P3 fill:#ffd43b,color:#000
style Q3 fill:#ffd43b,color:#000
style R3 fill:#ffd43b,color:#000
style S3 fill:#ffd43b,color:#000
style T3 fill:#ffd43b,color:#000
style U3 fill:#ffd43b,color:#000
style V3 fill:#ffd43b,color:#000
style W3 fill:#ffd43b,color:#000
style X3 fill:#ffd43b,color:#000
style Y3 fill:#ffd43b,color:#000
style Z3 fill:#ffd43b,color:#000
style M3 fill:#51cf66,color:#fff
style N3 fill:#51cf66,color:#fff
style O3 fill:#51cf66,color:#fff
style P3 fill:#51cf66,color:#fff
style Q3 fill:#51cf66,color:#fff
style R3 fill:#51cf66,color:#fff
style S3 fill:#51cf66,color:#fff
style T3 fill:#51cf66,color:#fff
style U3 fill:#51cf66,color:#fff
style V3 fill:#51cf66,color:#fff
style W3 fill:#51cf66,color:#fff
style X3 fill:#51cf66,color:#fff
style Y3 fill:#51cf66,color:#fff
style Z3 fill:#51cf66,color:#fff
style Z3 fill:#b197fc,color:#fff
</div>
<div style="margin-top: 1rem; display: flex; flex-wrap: wrap; gap: 0.5rem; justify-content: center;">
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ff6b6b;"></span>Triggers & Inputs
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#ffd43b;"></span>Dynamic Programming Methods
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#51cf66;"></span>Optimization Operations
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#74c0fc;"></span>Intermediates
</div>
<div style="display:inline-flex; align-items:center; gap:.5rem; padding:.25rem .5rem; border-radius: 999px; border: 1px solid rgba(0,0,0,.08); background:#fff;">
<span style="width: 12px; height: 12px; border-radius: 2px; border:1px solid rgba(0,0,0,.15); background:#b197fc;"></span>Products
</div>
</div>
<div class="figure-caption">
<strong>Figure 3.</strong> Dynamic Programming Process. This computer science process visualization demonstrates optimal substructure and overlapping subproblems. The flowchart shows problem analysis and subproblem identification, dynamic programming methods and strategies, optimization operations and solution construction, intermediate results, and final dynamic programming outputs.
</div>
</div>
<div class="navigation">
<h3>Navigation</h3>
<div class="nav-links">
<a href="computer_science_index.html" class="nav-link">← Back to Computer Science Index</a>
<a href="computer_science_batch_02.html" class="nav-link">Next: Software Engineering →</a>
<a href="index.html" class="nav-link">Programming Framework Home</a>
</div>
</div>
<div class="footer">
<p><strong>Generated using the Programming Framework methodology</strong></p>
<p>Each flowchart preserves maximum detail through optimized Mermaid configuration</p>
<div class="contact-info">
<p><strong>Gary Welz</strong></p>
<p>Retired Faculty Member</p>
<p>John Jay College, CUNY (Department of Mathematics and Computer Science)</p>
<p>Borough of Manhattan Community College, CUNY</p>
<p>CUNY Graduate Center (New Media Lab)</p>
<p>Email: gwelz@jjay.cuny.edu</p>
</div>
</div>
</div>
</body>
</html>
|