A man is starting a new business that he is hoping to grow fast.
His plan is to hire 1 new worker each year for 10 years. As part of their contract agreement, each worker that is hired within that 10 years, will also be required to hire 1 new worker the year following their date of hire.
As each worker hires a new worker, he is required to teach them everything that he knows about the business so that the new worker will have a good understanding and knowledge of the business and will be able to teach the new worker that he hires. This will require the investment of a lot of time.
If a new worker is not committed to learning or working for the business, then the employee that hired him will have to find and hire a committed employee.
If the plan of the founding business man is carried out, the business will have 1,024 workers after 10 years. The example is worked out below:
# = existing worker id #
(#) = new worker id #
1. Year # 1 - #1 :1 new (#2), Total # : 2
2. Year # 2 - #1: 1 new (# 3), # 2: 1 new (# 4), Total # : 4
3. Year # 3 - # 1: 1 new (# 5), # 2: 1 new (# 6), # 3: 1 new (# 7), # 4: 1 new (# 8), Total # : 8
4. Year # 4 - # 1: (1) new (# 9), # 2: (1) new (# 10), # 3: (1) new (# 11), # 4: (1) new (# 12), # 5 (1) new (# 13), # 6: (1) new (# 14), # 7: (1) new (# 15), # 8: (1) new (# 16), Total #: 16
5. Year # 5 - # 1: (1) new (# 17), # 2: (1) new (# 18), # 3: (1) new (# 19), # 4: (1) new (# 20), # 5 (1) new (# 21), # 6: (1) new (# 22), # 7: (1) new (# 23), # 8: (1) new (# 24), # 9: (1) new (# 25), # 10: (1) new (# 26), # 11: (1) new (# 27), # 12: (1) new (# 28), # 13 (1) new (# 29), # 14: (1) new (# 30), # 15: (1) new (# 31), # 16: (1) new (# 32), Total #: 32
6. Year # 6 - # 1: (1) new (# 33), # 2: (1) new (# 34), # 3: (1) new (# 35), # 4: (1) new (# 36), # 5 (1) new (# 37), # 6: (1) new (# 38), # 7: (1) new (# 39), # 8: (1) new (# 40), # 9: (1) new (# 41), # 10: (1) new (# 42), # 11: (1) new (# 43), # 12: (1) new (# 44), # 13 (1) new (# 45), # 14: (1) new (# 46), # 15: (1) new (# 47), # 16: (1) new (# 48), # 17: (1) new (# 49), # 18: (1) new (# 50), # 19: (1) new (# 51), # 20: (1) new (# 52), # 21 (1) new (# 53), # 22: (1) new (# 54), # 23: (1) new (# 55), # 24: (1) new (# 56), # 25: (1) new (# 57), # 26: (1) new (# 58), # 27: (1) new (# 59), # 28: (1) new (# 60), # 29 (1) new (# 61), # 30: (1) new (# 62), # 31: (1) new (# 63), # 32: (1) new (# 64), Total #: 64
7. Year # 7 - # 1: (1) new (# 65), # 2: (1) new (# 66), # 3: (1) new (# 67), # 4: (1) new (# 68), # 5 (1) new (# 69), # 6: (1) new (# 70), # 7: (1) new (# 71), # 8: (1) new (# 72), # 9: (1) new (# 73), # 10: (1) new (# 74), # 11: (1) new (# 75), # 12: (1) new (# 76), # 13 (1) new (# 77), # 14: (1) new (# 78), # 15: (1) new (# 79), # 16: (1) new (# 80), # 17: (1) new (# 81), # 18: (1) new (# 82), # 19: (1) new (# 83), # 20: (1) new (# 84), # 21 (1) new (# 85), # 22: (1) new (# 86), # 23: (1) new (# 87), # 24: (1) new (# 88), # 25: (1) new (# 89), # 26: (1) new (# 90), # 27: (1) new (# 91), # 28: (1) new (# 92), # 29 (1) new (# 93), # 30: (1) new (# 94), # 31: (1) new (# 95), # 32: (1) new (# 96), # 33: (1) new (# 97), # 34: (1) new (# 98), # 35: (1) new (# 99), # 36: (1) new (# 100), # 37 (1) new (# 101), # 38: (1) new (# 102), # 39: (1) new (# 103), # 40: (1) new (# 104), # 41: (1) new (# 105), # 42: (1) new (# 106), # 43: (1) new (# 107), # 44: (1) new (# 108), # 45 (1) new (# 109), # 46: (1) new (# 110), # 47: (1) new (# 111), # 48: (1) new (# 112), # 49: (1) new (# 113), # 50: (1) new (# 114), # 51: (1) new (# 115), # 52: (1) new (# 116), # 53 (1) new (# 117), # 54: (1) new (# 118), # 55: (1) new (# 119), # 56: (1) new (# 120), # 57: (1) new (# 121), # 58: (1) new (# 122), # 59: (1) new (# 123), # 60: (1) new (# 124), # 61 (1) new (# 125), # 62: (1) new (# 126), # 63: (1) new (# 127), # 64: (1) new (# 128), Total #: 128
8. Year # 8 - # 1: (1) new (# 129), # 2: (1) new (# 130), # 3: (1) new (# 131), # 4: (1) new (# 132), # 5 (1) new (# 133), # 6: (1) new (# 134), # 7: (1) new (# 135), # 8: (1) new (# 136), # 9: (1) new (# 137), # 10: (1) new (# 138), # 11: (1) new (# 139), # 12: (1) new (# 140), # 13 (1) new (# 141), # 14: (1) new (# 142), # 15: (1) new (# 143), # 16: (1) new (# 144), # 17: (1) new (# 145), # 18: (1) new (# 146), # 19: (1) new (# 147), # 20: (1) new (# 148), # 21 (1) new (# 149), # 22: (1) new (# 150), # 23: (1) new (# 151), # 24: (1) new (# 152), # 25: (1) new (# 153), # 26: (1) new (# 154), # 27: (1) new (# 155), # 28: (1) new (# 156), # 29 (1) new (# 157), # 30: (1) new (# 158), # 31: (1) new (# 159), # 32: (1) new (# 160), # 33: (1) new (# 161), # 34: (1) new (# 162), # 35: (1) new (# 163), # 36: (1) new (# 164), # 37 (1) new (# 165), # 38: (1) new (# 166), # 39: (1) new (# 167), # 40: (1) new (# 168), # 41: (1) new (# 169), # 42: (1) new (# 170), # 43: (1) new (# 171), # 44: (1) new (# 172), # 45 (1) new (# 173), # 46: (1) new (# 174), # 47: (1) new (# 175), # 48: (1) new (# 176), # 49: (1) new (# 177), # 50: (1) new (# 178), # 51: (1) new (# 179), # 52: (1) new (# 180), # 53 (1) new (# 181), # 54: (1) new (# 182), # 55: (1) new (# 183), # 56: (1) new (# 184), # 57: (1) new (# 185), # 58: (1) new (# 186), # 59: (1) new (# 187), # 60: (1) new (# 188), # 61 (1) new (# 189), # 62: (1) new (# 190), # 63: (1) new (# 191), # 64: (1) new (# 192), # 65: (1) new (# 193), # 66: (1) new (# 194), # 67: (1) new (# 195), # 68: (1) new (# 196), # 69 (1) new (# 197), # 70: (1) new (# 198), # 71: (1) new (# 199), # 72: (1) new (# 200), # 73: (1) new (# 201), # 74: (1) new (# 202), # 75: (1) new (# 203), # 76: (1) new (# 204), # 77 (1) new (# 205), # 78: (1) new (# 206), # 79: (1) new (# 207), # 80: (1) new (# 208), # 81: (1) new (# 209), # 82: (1) new (# 210), # 83: (1) new (# 211), # 84: (1) new (# 212), # 85 (1) new (# 213), # 86: (1) new (# 214), # 87: (1) new (# 215), # 88: (1) new (# 216), # 89: (1) new (# 217), # 90: (1) new (# 218), # 91: (1) new (# 219), # 92: (1) new (# 220), # 93 (1) new (# 221), # 94: (1) new (# 222), # 95: (1) new (# 223), # 96: (1) new (# 224), # 97: (1) new (# 225), # 98: (1) new (# 226), # 99: (1) new (# 227), # 100: (1) new (# 228), # 101 (1) new (# 229), # 102: (1) new (# 230), # 103: (1) new (# 231), # 104: (1) new (# 232), # 105: (1) new (# 233), # 106: (1) new (# 234), # 107: (1) new (# 235), # 108: (1) new (# 236), # 109 (1) new (# 237), # 110: (1) new (# 238), # 111: (1) new (# 239), # 112: (1) new (# 240), # 113: (1) new (# 241), # 114: (1) new (# 242), # 115: (1) new (# 243), # 116: (1) new (# 244), # 117 (1) new (# 245), # 118: (1) new (# 246), # 119: (1) new (# 247), # 120: (1) new (# 248), # 121: (1) new (# 249), # 122: (1) new (# 250), # 123: (1) new (# 251), # 124: (1) new (# 252), # 125 (1) new (# 253), # 126: (1) new (# 254), # 127: (1) new (# 255), # 128: (1) new (# 256), Total #: 256
9. Year # 9 - # 1: (1) new (# 257), # 2: (1) new (# 258), # 3: (1) new (# 259), # 4: (1) new (# 260), # 5 (1) new (# 261), # 6: (1) new (# 262), # 7: (1) new (# 263), # 8: (1) new (# 264), # 9: (1) new (# 265), # 10: (1) new (# 266), # 11: (1) new (# 267), # 12: (1) new (# 268), # 13 (1) new (# 269), # 14: (1) new (# 270), # 15: (1) new (# 271), # 16: (1) new (# 272), # 17: (1) new (# 273), # 18: (1) new (# 274), # 19: (1) new (# 275), # 20: (1) new (# 276), # 21 (1) new (# 277), # 22: (1) new (# 278), # 23: (1) new (# 279), # 24: (1) new (# 280), # 25: (1) new (# 281), # 26: (1) new (# 282), # 27: (1) new (# 283), # 28: (1) new (# 284), # 29 (1) new (# 285), # 30: (1) new (# 286), # 31: (1) new (# 287), # 32: (1) new (# 288), # 33: (1) new (# 289), # 34: (1) new (# 290), # 35: (1) new (# 291), # 36: (1) new (# 292), # 37 (1) new (# 293), # 38: (1) new (# 294), # 39: (1) new (# 295), # 40: (1) new (# 296), # 41: (1) new (# 297), # 42: (1) new (# 298), # 43: (1) new (# 299), # 44: (1) new (# 300), # 45 (1) new (# 301), # 46: (1) new (# 302), # 47: (1) new (# 303), # 48: (1) new (# 304), # 49: (1) new (# 305), # 50: (1) new (# 306), # 51: (1) new (# 307), # 52: (1) new (# 308), # 53 (1) new (# 309), # 54: (1) new (# 310), # 55: (1) new (# 311), # 56: (1) new (# 312), # 57: (1) new (# 313), # 58: (1) new (# 314), # 59: (1) new (# 315), # 60: (1) new (# 316), # 61 (1) new (# 317), # 62: (1) new (# 318), # 63: (1) new (# 319), # 64: (1) new (# 320), # 65: (1) new (# 321), # 66: (1) new (# 322), # 67: (1) new (# 323), # 68: (1) new (# 324), # 69 (1) new (# 325), # 70: (1) new (# 326), # 71: (1) new (# 327), # 72: (1) new (# 328), # 73: (1) new (# 329), # 74: (1) new (# 330), # 75: (1) new (# 331), # 76: (1) new (# 332), # 77 (1) new (# 333), # 78: (1) new (# 334), # 79: (1) new (# 335), # 80: (1) new (# 336), # 81: (1) new (# 337), # 82: (1) new (# 338), # 83: (1) new (# 339), # 84: (1) new (# 340), # 85 (1) new (# 341), # 86: (1) new (# 342), # 87: (1) new (# 343), # 88: (1) new (# 344), # 89: (1) new (# 345), # 90: (1) new (# 346), # 91: (1) new (# 347), # 92: (1) new (# 348), # 93 (1) new (# 349), # 94: (1) new (# 350), # 95: (1) new (# 351), # 96: (1) new (# 352), # 97: (1) new (# 353), # 98: (1) new (# 354), # 99: (1) new (# 355), # 100: (1) new (# 356), # 101 (1) new (# 357), # 367: (1) new (# 358), # 103: (1) new (# 359), # 104: (1) new (# 360), # 105: (1) new (# 361), # 106: (1) new (# 362), # 107: (1) new (# 363), # 108: (1) new (# 364), # 109 (1) new (# 365), # 110: (1) new (# 366), # 111: (1) new (# 367), # 112: (1) new (# 368), # 113: (1) new (# 369), # 114: (1) new (# 370), # 115: (1) new (# 371), # 116: (1) new (# 372), # 117 (1) new (# 373), # 118: (1) new (# 374), # 119: (1) new (# 375), # 120: (1) new (# 376), # 121: (1) new (# 377), # 122: (1) new (# 378), # 123: (1) new (# 379), # 124: (1) new (# 380), # 125 (1) new (# 381), # 126: (1) new (# 382), # 127: (1) new (# 383), # 128: (1) new (# 384), # 129: (1) new (# 385), # 130: (1) new (# 386), # 131: (1) new (# 387), # 132: (1) new (# 388), # 133 (1) new (# 389), # 134: (1) new (# 390), # 135: (1) new (# 391), # 136: (1) new (# 392), # 137: (1) new (# 393), # 138: (1) new (# 394), # 139: (1) new (# 395), # 140: (1) new (# 396), # 141 (1) new (# 397), # 142: (1) new (# 398), # 143: (1) new (# 399), # 144: (1) new (# 400), # 145: (1) new (# 401), # 146: (1) new (# 402), # 147: (1) new (# 403), # 148: (1) new (# 404), # 149 (1) new (# 405), # 150: (1) new (# 406), # 151: (1) new (# 407), # 152: (1) new (# 408), # 152: (1) new (# 409), # 154: (1) new (# 410), # 155: (1) new (# 411), # 156: (1) new (# 412), # 157 (1) new (# 413), # 158: (1) new (# 414), # 159: (1) new (# 415), # 160: (1) new (# 416), # 161: (1) new (# 417), # 162: (1) new (# 418), # 163: (1) new (# 419), # 164: (1) new (# 420), # 165 (1) new (# 421), # 166: (1) new (# 422), # 167: (1) new (# 423), # 168: (1) new (# 424), # 169: (1) new (# 425), # 170: (1) new (# 426), # 171: (1) new (# 427), # 172: (1) new (# 428), # 173 (1) new (# 429), # 174: (1) new (# 430), # 175: (1) new (# 431), # 176: (1) new (# 432), # 177: (1) new (# 433), # 178: (1) new (# 434), # 179: (1) new (# 435), # 180: (1) new (# 436), # 181 (1) new (# 437), # 182: (1) new (# 438), # 183: (1) new (# 439), # 184: (1) new (# 440), # 185: (1) new (# 441), # 186: (1) new (# 442), # 187: (1) new (# 443), # 188: (1) new (# 444), # 189 (1) new (# 445), # 190: (1) new (# 446), # 191: (1) new (# 447), # 192: (1) new (# 448), # 193: (1) new (# 449), # 194: (1) new (# 450), # 195: (1) new (# 451), # 196: (1) new (# 452), # 197 (1) new (# 453), # 198: (1) new (# 454), # 199: (1) new (# 455), # 200: (1) new (# 456), # 201: (1) new (# 457), # 202: (1) new (# 458), # 203: (1) new (# 459), # 204: (1) new (# 460), # 205 (1) new (# 461), # 206: (1) new (# 462), # 207: (1) new (# 463), # 208: (1) new (# 464), # 209: (1) new (# 465), # 210: (1) new (# 466), # 211: (1) new (# 467), # 212: (1) new (# 468), # 213 (1) new (# 469), # 214: (1) new (# 470), # 215: (1) new (# 471), # 216: (1) new (# 472), # 217: (1) new (# 473), # 218: (1) new (# 474), # 219: (1) new (# 475), # 220: (1) new (# 476), # 221 (1) new (# 477), # 222: (1) new (# 478), # 223: (1) new (# 479), # 224: (1) new (# 480), # 225: (1) new (# 481), # 226: (1) new (# 482), # 227: (1) new (# 483), # 228: (1) new (# 484), # 229 (1) new (# 485), # 230: (1) new (# 486), # 231: (1) new (# 487), # 232: (1) new (# 488), # 233: (1) new (# 489), # 234: (1) new (# 490), # 235: (1) new (# 491), # 236: (1) new (# 492), # 237 (1) new (# 493), # 238: (1) new (# 494), # 239: (1) new (# 495), # 240: (1) new (# 496), # 241: (1) new (# 497), # 242: (1) new (# 498), # 243: (1) new (# 499), # 244: (1) new (# 500), # 245 (1) new (# 501), # 246: (1) new (# 502), # 247: (1) new (# 503), # 248: (1) new (# 504), # 249: (1) new (# 505), # 250: (1) new (# 506), # 251: (1) new (# 507), # 252: (1) new (# 508), # 253 (1) new (# 509), # 254: (1) new (# 510), # 255: (1) new (# 511), # 256: (1) new (# 512), Total #: 512
10. Year # 10 - # 1: (1) new (# 513), # 2: (1) new (# 514), # 3: (1) new (# 515), # 4: (1) new (# 516), # 5 (1) new (# 517), # 6: (1) new (# 518), # 7: (1) new (# 519), # 8: (1) new (# 520), # 9: (1) new (# 521), # 10: (1) new (# 522), # 11: (1) new (# 523), # 12: (1) new (# 524), # 13 (1) new (# 525), # 14: (1) new (# 526), # 15: (1) new (# 527), # 16: (1) new (# 528), # 17: (1) new (# 529), # 18: (1) new (# 530), # 19: (1) new (# 531), # 20: (1) new (# 532), # 21 (1) new (# 533), # 22: (1) new (# 534), # 23: (1) new (# 535), # 24: (1) new (# 536), # 25: (1) new (# 537), # 26: (1) new (# 538), # 27: (1) new (# 539), # 28: (1) new (# 540), # 29 (1) new (# 541), # 30: (1) new (# 542), # 31: (1) new (# 543), # 32: (1) new (# 544), # 33: (1) new (# 545), # 34: (1) new (# 546), # 35: (1) new (# 547), # 36: (1) new (# 548), # 37 (1) new (# 549), # 38: (1) new (# 550), # 39: (1) new (# 551), # 40: (1) new (# 552), # 41: (1) new (# 553), # 42: (1) new (# 554), # 43: (1) new (# 555), # 44: (1) new (# 556), # 45 (1) new (# 557), # 46: (1) new (# 558), # 47: (1) new (# 559), # 48: (1) new (# 560), # 49: (1) new (# 561), # 50: (1) new (# 562), # 51: (1) new (# 563), # 52: (1) new (# 564), # 53 (1) new (# 565), # 54: (1) new (# 566), # 55: (1) new (# 567), # 56: (1) new (# 568), # 57: (1) new (# 569), # 58: (1) new (# 570), # 59: (1) new (# 571), # 60: (1) new (# 572), # 61 (1) new (# 573), # 62: (1) new (# 574), # 63: (1) new (# 575), # 64: (1) new (# 576), # 65: (1) new (# 577), # 66: (1) new (# 578), # 67: (1) new (# 579), # 68: (1) new (# 580), # 69 (1) new (# 581), # 70: (1) new (# 582), # 71: (1) new (# 583), # 72: (1) new (# 584), # 73: (1) new (# 585), # 74: (1) new (# 586), # 75: (1) new (# 587), # 76: (1) new (# 588), # 77 (1) new (# 589), # 78: (1) new (# 590), # 79: (1) new (# 591), # 80: (1) new (# 592), # 81: (1) new (# 593), # 82: (1) new (# 594), # 83: (1) new (# 595), # 84: (1) new (# 596), # 85 (1) new (# 597), # 86: (1) new (# 598), # 87: (1) new (# 599), # 88: (1) new (# 600), # 89: (1) new (# 601), # 90: (1) new (# 602), # 91: (1) new (# 603), # 92: (1) new (# 604), # 93 (1) new (# 605), # 94: (1) new (# 606), # 95: (1) new (# 607), # 96: (1) new (# 608), # 97: (1) new (# 609), # 98: (1) new (# 610), # 99: (1) new (# 611), # 100: (1) new (# 612), # 101 (1) new (# 613), # 367: (1) new (# 614), # 103: (1) new (# 615), # 104: (1) new (# 616), # 105: (1) new (# 617), # 106: (1) new (# 618), # 107: (1) new (# 619), # 108: (1) new (# 620), # 109 (1) new (# 621), # 110: (1) new (# 622), # 111: (1) new (# 623), # 112: (1) new (# 624), # 113: (1) new (# 625), # 114: (1) new (# 626), # 115: (1) new (# 627), # 116: (1) new (# 628), # 117 (1) new (# 629), # 118: (1) new (# 630), # 119: (1) new (# 631), # 120: (1) new (# 632), # 121: (1) new (# 633), # 122: (1) new (# 634), # 123: (1) new (# 635), # 124: (1) new (# 636), # 125 (1) new (# 637), # 126: (1) new (# 638), # 127: (1) new (# 639), # 128: (1) new (# 640), # 129: (1) new (# 641), # 130: (1) new (# 642), # 131: (1) new (# 643), # 132: (1) new (# 644), # 133 (1) new (# 645), # 134: (1) new (# 646), # 135: (1) new (# 647), # 136: (1) new (# 648), # 137: (1) new (# 649), # 138: (1) new (# 650), # 139: (1) new (# 651), # 140: (1) new (# 652), # 141 (1) new (# 653), # 142: (1) new (# 654), # 143: (1) new (# 655), # 144: (1) new (# 656), # 145: (1) new (# 657), # 146: (1) new (# 658), # 147: (1) new (# 659), # 148: (1) new (# 660), # 149 (1) new (# 661), # 150: (1) new (# 662), # 151: (1) new (# 663), # 152: (1) new (# 664), # 152: (1) new (# 665), # 154: (1) new (# 666), # 155: (1) new (# 667), # 156: (1) new (# 668), # 157 (1) new (# 669), # 158: (1) new (# 670), # 159: (1) new (# 671), # 160: (1) new (# 672), # 161: (1) new (# 673), # 162: (1) new (# 674), # 163: (1) new (# 675), # 164: (1) new (# 676), # 165 (1) new (# 677), # 166: (1) new (# 678), # 167: (1) new (# 679), # 168: (1) new (# 680), # 169: (1) new (# 681), # 170: (1) new (# 682), # 171: (1) new (# 683), # 172: (1) new (# 684), # 173 (1) new (# 685), # 174: (1) new (# 686), # 175: (1) new (# 687), # 176: (1) new (# 688), # 177: (1) new (# 689), # 178: (1) new (# 690), # 179: (1) new (# 691), # 180: (1) new (# 692), # 181 (1) new (# 693), # 182: (1) new (# 694), # 183: (1) new (# 695), # 184: (1) new (# 696), # 185: (1) new (# 697), # 186: (1) new (# 698), # 187: (1) new (# 699), # 188: (1) new (# 700), # 189 (1) new (# 701), # 190: (1) new (# 702), # 191: (1) new (# 703), # 192: (1) new (# 704), # 193: (1) new (# 705), # 194: (1) new (# 706), # 195: (1) new (# 707), # 196: (1) new (# 708), # 197 (1) new (# 709), # 198: (1) new (# 710), # 199: (1) new (# 711), # 200: (1) new (# 712), # 201: (1) new (# 713), # 202: (1) new (# 714), # 203: (1) new (# 715), # 204: (1) new (# 716), # 205 (1) new (# 717), # 206: (1) new (# 718), # 207: (1) new (# 719), # 208: (1) new (# 720), # 209: (1) new (# 721), # 210: (1) new (# 722), # 211: (1) new (# 723), # 212: (1) new (# 724), # 213 (1) new (# 725), # 214: (1) new (# 726), # 215: (1) new (# 727), # 216: (1) new (# 728), # 217: (1) new (# 729), # 218: (1) new (# 730), # 219: (1) new (# 731), # 220: (1) new (# 732), # 221 (1) new (# 733), # 222: (1) new (# 734), # 223: (1) new (# 735), # 224: (1) new (# 736), # 225: (1) new (# 737), # 226: (1) new (# 738), # 227: (1) new (# 739), # 228: (1) new (# 740), # 229 (1) new (# 741), # 230: (1) new (# 742), # 231: (1) new (# 743), # 232: (1) new (# 744), # 233: (1) new (# 745), # 234: (1) new (# 746), # 235: (1) new (# 747), # 236: (1) new (# 748), # 237 (1) new (# 749), # 238: (1) new (# 750), # 239: (1) new (# 751), # 240: (1) new (# 752), # 241: (1) new (# 753), # 242: (1) new (# 754), # 243: (1) new (# 755), # 244: (1) new (# 756), # 245 (1) new (# 757), # 246: (1) new (# 758), # 247: (1) new (# 759), # 248: (1) new (# 760), # 249: (1) new (# 761), # 250: (1) new (# 762), # 251: (1) new (# 763), # 252: (1) new (# 764), # 253 (1) new (# 765), # 254: (1) new (# 766), # 255: (1) new (# 767), # 256: (1) new (# 768), # 257: (1) new (# 769), # 258: (1) new (# 770), # 259: (1) new (# 771), # 260: (1) new (# 772), # 261 (1) new (# 773), # 262: (1) new (# 774), # 263: (1) new (# 775), # 264: (1) new (# 776), # 265: (1) new (# 777), # 266: (1) new (# 778), # 267: (1) new (# 779), # 268: (1) new (# 780), # 269 (1) new (# 781), # 270: (1) new (# 782), # 271: (1) new (# 783), # 272: (1) new (# 784), # 273: (1) new (# 785), # 274: (1) new (# 786), # 275: (1) new (# 787), # 276: (1) new (# 788), # 277: (1) new (# 789), # 278: (1) new (# 790), # 279: (1) new (# 791), # 280: (1) new (# 792), # 281: (1) new (# 793), # 282: (1) new (# 794), # 283: (1) new (# 795), # 284: (1) new (# 796), # 285 (1) new (# 797), # 286: (1) new (# 798), # 287: (1) new (# 799), # 288: (1) new (# 800), # 289: (1) new (# 801), # 290: (1) new (# 802), # 291: (1) new (# 803), # 292: (1) new (# 804), # 293 (1) new (# 805), # 294: (1) new (# 806), # 295: (1) new (# 807), # 296: (1) new (# 808), # 297: (1) new (# 809), # 298: (1) new (# 810), # 299: (1) new (# 811), # 300: (1) new (# 812), # 301 (1) new (# 813), # 302: (1) new (# 814), # 303: (1) new (# 815), # 304: (1) new (# 816), # 305: (1) new (# 817), # 306: (1) new (# 818), # 307: (1) new (# 819), # 308: (1) new (# 820), # 309 (1) new (# 821), # 310: (1) new (# 822), # 311: (1) new (# 823), # 312: (1) new (# 824), # 313: (1) new (# 825), # 314: (1) new (# 826), # 315: (1) new (# 827), # 316: (1) new (# 828), # 317 (1) new (# 829), # 318: (1) new (# 830), # 319: (1) new (# 831), # 320: (1) new (# 832), # 321: (1) new (# 833), # 322: (1) new (# 834), # 323: (1) new (# 835), # 324: (1) new (# 836), # 325 (1) new (# 837), # 326: (1) new (# 838), # 327: (1) new (# 839), # 328: (1) new (# 840), # 329: (1) new (# 841), # 330: (1) new (# 842), # 331: (1) new (# 843), # 332: (1) new (# 844), # 333 (1) new (# 845), # 334: (1) new (# 846), # 335: (1) new (# 847), # 336: (1) new (# 848), # 337: (1) new (# 849), # 338: (1) new (# 850), # 339: (1) new (# 851), # 340: (1) new (# 852), # 341 (1) new (# 853), # 342: (1) new (# 854), # 343: (1) new (# 855), # 344: (1) new (# 856), # 345: (1) new (# 857), # 346: (1) new (# 858), # 347: (1) new (# 859), # 348: (1) new (# 860), # 349 (1) new (# 861), # 350: (1) new (# 862), # 351: (1) new (# 863), # 352: (1) new (# 864), # 353: (1) new (# 865), # 354: (1) new (# 866), # 355: (1) new (# 867), # 356: (1) new (# 868), # 357 (1) new (# 869), # 358: (1) new (# 870), # 359: (1) new (# 871), # 360: (1) new (# 872), # 361: (1) new (# 873), # 362: (1) new (# 874), # 363: (1) new (# 875), # 364: (1) new (# 876), # 365 (1) new (# 877), # 366: (1) new (# 878), # 367: (1) new (# 879), # 368: (1) new (# 880), # 369: (1) new (# 881), # 370: (1) new (# 882), # 371: (1) new (# 883), # 372: (1) new (# 884), # 373 (1) new (# 885), # 374: (1) new (# 886), # 375: (1) new (# 887), # 376: (1) new (# 888), # 377: (1) new (# 889), # 378: (1) new (# 890), # 379: (1) new (# 891), # 380: (1) new (# 892), # 381 (1) new (# 893), # 382: (1) new (# 894), # 383: (1) new (# 895), # 384: (1) new (# 896), # 385: (1) new (# 897), # 386: (1) new (# 898), # 387: (1) new (# 899), # 388: (1) new (# 900), # 389 (1) new (# 901), # 390: (1) new (# 902), # 391: (1) new (# 903), # 392: (1) new (# 904), # 393: (1) new (# 905), # 394: (1) new (# 906), # 395: (1) new (# 907), # 396: (1) new (# 908), # 397 (1) new (# 909), # 398: (1) new (# 910), # 399: (1) new (# 911), # 400: (1) new (# 912), # 401: (1) new (# 913), # 402: (1) new (# 914), # 403: (1) new (# 915), # 404: (1) new (# 916), # 405 (1) new (# 917), # 406: (1) new (# 918), # 407: (1) new (# 919), # 408: (1) new (# 920), # 409: (1) new (# 921), # 410: (1) new (# 922), # 411: (1) new (# 923), # 412: (1) new (# 924), # 413 (1) new (# 925), # 414: (1) new (# 926), # 415: (1) new (# 927), # 416: (1) new (# 928), # 417: (1) new (# 929), # 418: (1) new (# 930), # 419: (1) new (# 931), # 420: (1) new (# 932), # 421 (1) new (# 933), # 422: (1) new (# 934), # 423: (1) new (# 935), # 424: (1) new (# 936), # 425: (1) new (# 937), # 426: (1) new (# 938), # 427: (1) new (# 939), # 428: (1) new (# 940), # 429 (1) new (# 941), # 430: (1) new (# 942), # 431: (1) new (# 943), # 432: (1) new (# 944), # 433: (1) new (# 945), # 434: (1) new (# 946), # 435: (1) new (# 947), # 436: (1) new (# 948), # 437 (1) new (# 949), # 438: (1) new (# 950), # 439: (1) new (# 951), # 440: (1) new (# 952), # 441: (1) new (# 953), # 442: (1) new (# 954), # 443: (1) new (# 955), # 444: (1) new (# 956), # 445 (1) new (# 957), # 446: (1) new (# 958), # 447: (1) new (# 959), # 448: (1) new (# 960), # 449: (1) new (# 961), # 450: (1) new (# 962), # 451: (1) new (# 963), # 452: (1) new (# 964), # 453 (1) new (# 965), # 454: (1) new (# 966), # 455: (1) new (# 967), # 456: (1) new (# 968), # 457: (1) new (# 969), # 458: (1) new (# 970), # 459: (1) new (# 971), # 460: (1) new (# 972), # 461 (1) new (# 973), # 462: (1) new (# 974), # 463: (1) new (# 975), # 464: (1) new (# 976), # 465: (1) new (# 977), # 466: (1) new (# 978), # 467: (1) new (# 979), # 468: (1) new (# 980), # 469 (1) new (# 981), # 470: (1) new (# 982), # 471: (1) new (# 983), # 472: (1) new (# 984), # 473: (1) new (# 985), # 474: (1) new (# 986), # 475: (1) new (# 987), # 476: (1) new (# 988), # 477 (1) new (# 989), # 478: (1) new (# 990), # 479: (1) new (# 991), # 480: (1) new (# 992), # 481: (1) new (# 993), # 482: (1) new (# 994), # 483: (1) new (# 995), # 484: (1) new (# 996), # 485 (1) new (# 997), # 486: (1) new (# 998), # 487: (1) new (# 999), # 488: (1) new (# 1000), # 489: (1) new (# 1001), # 490: (1) new (# 1002), # 491: (1) new (# 1003), # 492: (1) new (# 1004), # 493 (1) new (# 1005), # 494: (1) new (# 1006), # 495: (1) new (# 1007), # 496: (1) new (# 1008), # 497: (1) new (# 1009), # 498: (1) new (# 1010), # 499: (1) new (# 1011), # 500: (1) new (# 1012), # 501 (1) new (# 1013), # 502: (1) new (# 1014), # 503: (1) new (# 1015), # 504: (1) new (# 1016), # 505: (1) new (# 1017), # 506: (1) new (# 1018), # 507: (1) new (# 1019), # 508: (1) new (# 1020), # 509 (1) new (# 1021), # 510: (1) new (# 1022), # 511: (1) new (# 1023), # 512: (1) new (# 1024), Total #: 1,024
As you can see, each year the total number of workers double by each worker hiring a new worker. Now imagine how many workers there would be if each worker hired up to 12 additional workers!
Generational Mapping
In order to track teams, the business man decided to map which workers hired which workers. Below is a map of the first four generations of workers:
Team #1
#1.
#2. --> Team #2 Team #3 <-- #3. #4 --> Team #4
#7 #5. #6. #8
#11 #9. #10. #12
#19 #17. #18 #20
#35 #33. #34. #36
#67 #65. #66. #68
#131 #129. #130. #132
#259 #257. #258. #260
#515 #513. #514. #516
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