perplexus.info :: Just Math : Distinct Values Determination

Distinct Values Determination (Posted on 2015-10-20)

It is known that X is a real number with 0 ≤ X ≤ 100

Find the total count of distinct values that can be assumed by this expression:

floor(X) + floor(2*X) + floor(5*X /3) + floor(3*X) + floor(4*X)

No Solution Yet Submitted by K Sengupta

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the missing values

| Comment 3 of 4 |

8 9 10

20 21 22

31 32 33 34

43 44 45

55 56 57

66 67 68 69

78 79 80

90 91 92

101 102 103 104

108

113 114 115

120

125 126 127

132

136 137 138 139

143

148 149 150

155

160 161 162

167

171 172 173 174

178

183 184 185

190

195 196 197

202

206 207 208 209

213

218 219 220

225

230 231 232

237

241 242 243 244

248

253 254 255

260

265 266 267

272

276 277 278 279

283

288 289 290

295

300 301 302

307

311 312 313 314

318

323 324 325

330

335 336 337

342

346 347 348 349

353

358 359 360

365

370 371 372

377

381 382 383 384

388

393 394 395

400

405 406 407

412

416 417 418 419

423

428 429 430

435

440 441 442

447

451 452 453 454

458

463 464 465

470

475 476 477

482

486 487 488 489

493

498 499 500

505

510 511 512

517

521 522 523 524

528

533 534 535

540

545 546 547

552

556 557 558 559

563

568 569 570

575

580 581 582

587

591 592 593 594

598

603 604 605

610

615 616 617

622

626 627 628 629

633

638 639 640

645

650 651 652

657

661 662 663 664

668

673 674 675

680

685 686 687

692

696 697 698 699

703

708 709 710

715

720 721 722

727

731 732 733 734

738

743 744 745

750

755 756 757

762

766 767 768 769

773

778 779 780

785

790 791 792

797

801 802 803 804

808

813 814 815

820

825 826 827

832

836 837 838 839

843

848 849 850

855

860 861 862

867

871 872 873 874

878

883 884 885

890

895 896 897

902

906 907 908 909

913

918 919 920

925

930 931 932

937

941 942 943 944

948

953 954 955

960

965 966 967

972

976 977 978 979

983

988 989 990

995

1000 1001 1002

1007

1011 1012 1013 1014

1018

1023 1024 1025

1030

1035 1036 1037

1042

1046 1047 1048 1049

1053

1058 1059 1060

1065

1070 1071 1072

1077

1081 1082 1083 1084

1088

1093 1094 1095

1100

1105 1106 1107

1112

1116 1117 1118 1119

1123

1128 1129 1130

1135

1140 1141 1142

1147

1151 1152 1153 1154

1158

1163 1164 1165

currval = -1

For num = 0# To 24000

x = num / 240

v = Int(x) + Int(2 * num / 240) + Int(5 * num / (240 * 3)) + Int(3 * num / 240) + Int(4 * num / 240)

If v > currval Then

ct = ct + 1

' Text1.Text = Text1.Text & currval & Str(x) & crlf

If v - currval > 1 Then

For i = currval + 1 To v - 1

Text1.Text = Text1.Text & Str(i)

Text1.Text = Text1.Text & crlf

End If

currval = v

DoEvents

End If

Posted by Charlie on 2015-10-20 11:44:21

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