### Random-Mutation Hill-Climbing (RMHC)

1. Choose a string at random. Call this string best-evaluated.
2. If the optimum has been found, stop and return it. If max evaluations has been equaled or exceeded, stop and return the current value of best-evaluated. Otherwise go to step 3.
3. Choose a locus at random to mutate. If the mutation leads to an equal or higher fitness, then set best-evaluated to the resulting string, and go to step 2.
import urllib2  # the lib that handles the url stuff
import numpy as np
import pandas as pd
#from random import randint
import random

input_data = []
url = "http://www.cs.stir.ac.uk/~goc/source/easy20.txt"
data = urllib2.urlopen(url) # it's a file like object and works just like a file
for line in data: # files are iterable
input_data.append(map(int,line.split()))

instance_number = input_data.pop(0)[0]
max_capacity = input_data.pop()[0]
df = pd.DataFrame(input_data, columns=['no.', 'weight', 'value'])
df["weight*value"] = df["weight"]*df["value"]

no. weight value weight*value
0 1 91 29 2639
1 2 60 65 3900
2 3 61 71 4331
3 4 9 60 540
4 5 79 45 3555
#function to generate a set of binary bits to represent the items that get selected.
def binrep(n,r):
return "{0:0{1}b}".format(n, r)
#random.randint(1, 2**instance_number)
items_selected = np.array(map(int,binrep(random.randint(1, 2**instance_number), instance_number)))
weights = np.array(df["weight"])
values = np.array(df["value"])

cost = 0
best_value = 0
max_eval = 1000
print "max weight = ", max_capacity, "\n"

while max_eval >0:
total_value = np.dot(values,items_selected)
total_weight = np.dot(weights,items_selected)
if total_weight <= max_capacity:
if total_value > best_value:
best_value = total_value
idx = random.randint(0,19)
items_selected[idx] = int(not items_selected[idx])
max_eval -=1
print "current total value = ", total_value
print "current best value = ",best_value
print "total weight = ",total_weight, "\n"

max weight =  524

current total value =  673
current best value =  0
total weight =  563

current total value =  762
current best value =  0
total weight =  594

current total value =  844
current best value =  0
total weight =  694

current total value =  754
current best value =  0
total weight =  639

current total value =  724
current best value =  0
total weight =  558

current total value =  814
current best value =  0
total weight =  613

current total value =  754
current best value =  0
total weight =  604

current total value =  665
current best value =  0
total weight =  573

current total value =  636
current best value =  636
total weight =  482

current total value =  638
current best value =  638
total weight =  510

current total value =  632
current best value =  638
total weight =  502

current total value =  692
current best value =  692
total weight =  511

current total value =  737
current best value =  692
total weight =  590

current total value =  640
current best value =  692
total weight =  533

current total value =  569
current best value =  692
total weight =  487

current total value =  575
current best value =  692
total weight =  495

current total value =  640
current best value =  692
total weight =  555

current total value =  670
current best value =  692
total weight =  636

current total value =  668
current best value =  692
total weight =  608

current total value =  693
current best value =  692
total weight =  651

current total value =  764
current best value =  692
total weight =  697

current total value =  793
current best value =  692
total weight =  788

current total value =  748
current best value =  692
total weight =  709

current total value =  742
current best value =  692
total weight =  701

current total value =  761
current best value =  692
total weight =  728

current total value =  712
current best value =  692
total weight =  696

current total value =  690
current best value =  692
total weight =  677

current total value =  633
current best value =  692
total weight =  657

current total value =  568
current best value =  692
total weight =  597

current total value =  477
current best value =  692
total weight =  513

current total value =  452
current best value =  692
total weight =  470

current total value =  549
current best value =  692
total weight =  527

current total value =  574
current best value =  692
total weight =  570

current total value =  580
current best value =  692
total weight =  578

current total value =  483
current best value =  692
total weight =  521

current total value =  485
current best value =  692
total weight =  549

current total value =  576
current best value =  692
total weight =  633

current total value =  505
current best value =  692
total weight =  587

current total value =  550
current best value =  692
total weight =  666

current total value =  544
current best value =  692
total weight =  658

current total value =  454
current best value =  692
total weight =  603

current total value =  363
current best value =  692
total weight =  519

current total value =  460
current best value =  692
total weight =  576

current total value =  466
current best value =  692
total weight =  584

current total value =  556
current best value =  692
total weight =  639

current total value =  485
current best value =  692
total weight =  578

current total value =  479
current best value =  692
total weight =  570

current total value =  454
current best value =  692
total weight =  527

current total value =  394
current best value =  692
total weight =  518

current total value =  400
current best value =  692
total weight =  526

current total value =  370
current best value =  692
total weight =  445

current total value =  392
current best value =  692
total weight =  464

current total value =  481
current best value =  692
total weight =  495

current total value =  436
current best value =  692
total weight =  416

current total value =  417
current best value =  692
total weight =  389

current total value =  320
current best value =  692
total weight =  332

current total value =  350
current best value =  692
total weight =  413

current total value =  447
current best value =  692
total weight =  470

current total value =  425
current best value =  692
total weight =  451

current total value =  447
current best value =  692
total weight =  470

current total value =  357
current best value =  692
total weight =  415

current total value =  414
current best value =  692
total weight =  435

current total value =  474
current best value =  692
total weight =  507

current total value =  377
current best value =  692
total weight =  450

current total value =  355
current best value =  692
total weight =  431

current total value =  446
current best value =  692
total weight =  515

current total value =  468
current best value =  692
total weight =  534

current total value =  493
current best value =  692
total weight =  577

current total value =  468
current best value =  692
total weight =  534

current total value =  539
current best value =  692
total weight =  580

current total value =  629
current best value =  692
total weight =  635

current total value =  572
current best value =  692
total weight =  615

current total value =  669
current best value =  692
total weight =  672

current total value =  579
current best value =  692
total weight =  617

current total value =  639
current best value =  692
total weight =  626

current total value =  637
current best value =  692
total weight =  598

current total value =  686
current best value =  692
total weight =  630

current total value =  637
current best value =  692
total weight =  598

current total value =  727
current best value =  692
total weight =  653

current total value =  645
current best value =  692
total weight =  553

current total value =  716
current best value =  692
total weight =  614

current total value =  645
current best value =  692
total weight =  553

current total value =  555
current best value =  692
total weight =  498

current total value =  604
current best value =  692
total weight =  530

current total value =  544
current best value =  692
total weight =  521

current total value =  453
current best value =  692
total weight =  437

current total value =  498
current best value =  692
total weight =  516

current total value =  563
current best value =  692
total weight =  576

current total value =  474
current best value =  692
total weight =  545

current total value =  556
current best value =  692
total weight =  645

current total value =  581
current best value =  692
total weight =  688

current total value =  521
current best value =  692
total weight =  616

current total value =  499
current best value =  692
total weight =  597

current total value =  556
current best value =  692
total weight =  617

current total value =  485
current best value =  692
total weight =  571

current total value =  574
current best value =  692
total weight =  602

current total value =  525
current best value =  692
total weight =  570

current total value =  544
current best value =  692
total weight =  597

current total value =  538
current best value =  692
total weight =  589

current total value =  544
current best value =  692
total weight =  597

current total value =  635
current best value =  692
total weight =  681

current total value =  695
current best value =  692
total weight =  753

current total value =  598
current best value =  692
total weight =  696

current total value =  669
current best value =  692
total weight =  757

current total value =  766
current best value =  692
total weight =  814

current total value =  701
current best value =  692
total weight =  754

current total value =  610
current best value =  692
total weight =  670

current total value =  521
current best value =  692
total weight =  639

current total value =  581
current best value =  692
total weight =  648

current total value =  583
current best value =  692
total weight =  676

current total value =  581
current best value =  692
total weight =  648

current total value =  484
current best value =  692
total weight =  591

current total value =  427
current best value =  692
total weight =  571

current total value =  402
current best value =  692
total weight =  528

current total value =  493
current best value =  692
total weight =  612

current total value =  558
current best value =  692
total weight =  672

current total value =  539
current best value =  692
total weight =  645

current total value =  479
current best value =  692
total weight =  573

current total value =  498
current best value =  692
total weight =  600

current total value =  558
current best value =  692
total weight =  672

current total value =  583
current best value =  692
total weight =  715

current total value =  632
current best value =  692
total weight =  747

current total value =  561
current best value =  692
total weight =  686

current total value =  479
current best value =  692
total weight =  586

current total value =  576
current best value =  692
total weight =  643

current total value =  598
current best value =  692
total weight =  662

current total value =  568
current best value =  692
total weight =  581

current total value =  471
current best value =  692
total weight =  524

current total value =  411
current best value =  692
total weight =  452

current total value =  501
current best value =  692
total weight =  507

current total value =  583
current best value =  692
total weight =  607

current total value =  561
current best value =  692
total weight =  588

current total value =  650
current best value =  692
total weight =  619

current total value =  652
current best value =  692
total weight =  647

current total value =  650
current best value =  692
total weight =  619

current total value =  721
current best value =  692
total weight =  680

current total value =  630
current best value =  692
total weight =  596

current total value =  690
current best value =  692
total weight =  668

current total value =  665
current best value =  692
total weight =  625

current total value =  620
current best value =  692
total weight =  546

current total value =  691
current best value =  692
total weight =  592

current total value =  788
current best value =  692
total weight =  649

current total value =  699
current best value =  692
total weight =  618

current total value =  617
current best value =  692
total weight =  518

current total value =  598
current best value =  692
total weight =  491

current total value =  617
current best value =  692
total weight =  518

current total value =  588
current best value =  692
total weight =  427

current total value =  523
current best value =  692
total weight =  367

current total value =  605
current best value =  692
total weight =  467

current total value =  534
current best value =  692
total weight =  406

current total value =  463
current best value =  692
total weight =  360

current total value =  552
current best value =  692
total weight =  391

current total value =  470
current best value =  692
total weight =  291

current total value =  464
current best value =  692
total weight =  283

current total value =  374
current best value =  692
total weight =  228

current total value =  325
current best value =  692
total weight =  196

current total value =  390
current best value =  692
total weight =  256

current total value =  481
current best value =  692
total weight =  340

current total value =  392
current best value =  692
total weight =  309

current total value =  437
current best value =  692
total weight =  388

current total value =  526
current best value =  692
total weight =  419

current total value =  575
current best value =  692
total weight =  451

current total value =  646
current best value =  692
total weight =  512

current total value =  671
current best value =  692
total weight =  555

current total value =  574
current best value =  692
total weight =  498

current total value =  645
current best value =  692
total weight =  544

current total value =  585
current best value =  692
total weight =  472

current total value =  540
current best value =  692
total weight =  393

current total value =  449
current best value =  692
total weight =  309

current total value =  479
current best value =  692
total weight =  390

current total value =  454
current best value =  692
total weight =  347

current total value =  536
current best value =  692
total weight =  447

current total value =  487
current best value =  692
total weight =  415

current total value =  547
current best value =  692
total weight =  487

current total value =  549
current best value =  692
total weight =  515

current total value =  489
current best value =  692
total weight =  506

current total value =  470
current best value =  692
total weight =  479

current total value =  530
current best value =  692
total weight =  488

current total value =  575
current best value =  692
total weight =  567

current total value =  581
current best value =  692
total weight =  575

current total value =  630
current best value =  692
total weight =  607

current total value =  720
current best value =  692
total weight =  662

current total value =  649
current best value =  692
total weight =  601

current total value =  584
current best value =  692
total weight =  541

current total value =  524
current best value =  692
total weight =  532

current total value =  475
current best value =  692
total weight =  500

current total value =  393
current best value =  692
total weight =  400

current total value =  458
current best value =  692
total weight =  460

current total value =  487
current best value =  692
total weight =  551

current total value =  457
current best value =  692
total weight =  470

current total value =  554
current best value =  692
total weight =  527

current total value =  464
current best value =  692
total weight =  472

current total value =  555
current best value =  692
total weight =  556

current total value =  637
current best value =  692
total weight =  656

current total value =  555
current best value =  692
total weight =  556

current total value =  577
current best value =  692
total weight =  575

current total value =  634
current best value =  692
total weight =  595

current total value =  537
current best value =  692
total weight =  538

current total value =  567
current best value =  692
total weight =  619

current total value =  537
current best value =  692
total weight =  538

current total value =  608
current best value =  692
total weight =  599

current total value =  543
current best value =  692
total weight =  539

current total value =  452
current best value =  692
total weight =  455

current total value =  392
current best value =  692
total weight =  383

current total value =  482
current best value =  692
total weight =  438

current total value =  512
current best value =  692
total weight =  519

current total value =  506
current best value =  692
total weight =  511

current total value =  603
current best value =  692
total weight =  568

current total value =  694
current best value =  692
total weight =  652

current total value =  713
current best value =  692
total weight =  679

current total value =  622
current best value =  692
total weight =  595

current total value =  628
current best value =  692
total weight =  603

current total value =  710
current best value =  692
total weight =  703

current total value =  628
current best value =  692
total weight =  603

current total value =  609
current best value =  692
total weight =  576

current total value =  607
current best value =  692
total weight =  548

current total value =  689
current best value =  692
total weight =  648

current total value =  738
current best value =  692
total weight =  680

current total value =  732
current best value =  692
total weight =  672

current total value =  710
current best value =  692
total weight =  653

current total value =  716
current best value =  692
total weight =  661

current total value =  781
current best value =  692
total weight =  721

current total value =  806
current best value =  692
total weight =  764

current total value =  825
current best value =  692
total weight =  791

current total value =  743
current best value =  692
total weight =  691

current total value =  765
current best value =  692
total weight =  710

current total value =  825
current best value =  692
total weight =  782

current total value =  736
current best value =  692
total weight =  751

current total value =  738
current best value =  692
total weight =  779

current total value =  736
current best value =  692
total weight =  751

current total value =  825
current best value =  692
total weight =  782

current total value =  754
current best value =  692
total weight =  721

current total value =  697
current best value =  692
total weight =  701

current total value =  779
current best value =  692
total weight =  801

current total value =  690
current best value =  692
total weight =  770

current total value =  692
current best value =  692
total weight =  798

current total value =  763
current best value =  692
total weight =  859

current total value =  854
current best value =  692
total weight =  943

current total value =  789
current best value =  692
total weight =  883

current total value =  760
current best value =  692
total weight =  792

current total value =  825
current best value =  692
total weight =  852

current total value =  819
current best value =  692
total weight =  844

current total value =  794
current best value =  692
total weight =  801

current total value =  734
current best value =  692
total weight =  729

current total value =  689
current best value =  692
total weight =  650

current total value =  670
current best value =  692
total weight =  623

current total value =  599
current best value =  692
total weight =  577

current total value =  688
current best value =  692
total weight =  608

current total value =  686
current best value =  692
total weight =  580

current total value =  637
current best value =  692
total weight =  548

current total value =  540
current best value =  692
total weight =  491

current total value =  611
current best value =  692
total weight =  537

current total value =  589
current best value =  692
total weight =  518

current total value =  591
current best value =  692
total weight =  546

current total value =  613
current best value =  692
total weight =  565

current total value =  673
current best value =  692
total weight =  637

current total value =  698
current best value =  692
total weight =  680

current total value =  758
current best value =  692
total weight =  689

current total value =  736
current best value =  692
total weight =  670

current total value =  676
current best value =  692
total weight =  661

current total value =  674
current best value =  692
total weight =  633

current total value =  731
current best value =  692
total weight =  653

current total value =  760
current best value =  692
total weight =  744

current total value =  670
current best value =  692
total weight =  689

current total value =  645
current best value =  692
total weight =  646

current total value =  647
current best value =  692
total weight =  674

current total value =  672
current best value =  692
total weight =  717

current total value =  583
current best value =  692
total weight =  686

current total value =  526
current best value =  692
total weight =  666

current total value =  524
current best value =  692
total weight =  638

current total value =  453
current best value =  692
total weight =  592

current total value =  524
current best value =  692
total weight =  638

current total value =  613
current best value =  692
total weight =  669

current total value =  524
current best value =  692
total weight =  638

current total value =  453
current best value =  692
total weight =  592

current total value =  502
current best value =  692
total weight =  624

current total value =  504
current best value =  692
total weight =  652

current total value =  510
current best value =  692
total weight =  660

current total value =  480
current best value =  692
total weight =  579

current total value =  499
current best value =  692
total weight =  606

current total value =  474
current best value =  692
total weight =  563

current total value =  563
current best value =  692
total weight =  594

current total value =  634
current best value =  692
total weight =  640

current total value =  545
current best value =  692
total weight =  609

current total value =  635
current best value =  692
total weight =  664

current total value =  660
current best value =  692
total weight =  707

current total value =  720
current best value =  692
total weight =  716

current total value =  742
current best value =  692
total weight =  735

current total value =  723
current best value =  692
total weight =  708

current total value =  780
current best value =  692
total weight =  728

current total value =  825
current best value =  692
total weight =  807

current total value =  855
current best value =  692
total weight =  888

current total value =  795
current best value =  692
total weight =  879

current total value =  793
current best value =  692
total weight =  851

current total value =  711
current best value =  692
total weight =  751

current total value =  640
current best value =  692
total weight =  690

current total value =  550
current best value =  692
total weight =  635

current total value =  639
current best value =  692
total weight =  666

current total value =  641
current best value =  692
total weight =  694

current total value =  576
current best value =  692
total weight =  634

current total value =  636
current best value =  692
total weight =  643

current total value =  587
current best value =  692
total weight =  611

current total value =  527
current best value =  692
total weight =  539

current total value =  546
current best value =  692
total weight =  566

current total value =  606
current best value =  692
total weight =  638

current total value =  535
current best value =  692
total weight =  592

current total value =  475
current best value =  692
total weight =  583

current total value =  540
current best value =  692
total weight =  643

current total value =  622
current best value =  692
total weight =  743

current total value =  712
current best value =  692
total weight =  798

current total value =  687
current best value =  692
total weight =  755

current total value =  758
current best value =  692
total weight =  801

current total value =  687
current best value =  692
total weight =  755

current total value =  736
current best value =  692
total weight =  787

current total value =  706
current best value =  692
total weight =  706

current total value =  684
current best value =  692
total weight =  687

current total value =  635
current best value =  692
total weight =  655

current total value =  545
current best value =  692
total weight =  600

current total value =  575
current best value =  692
total weight =  681

current total value =  484
current best value =  692
total weight =  597

current total value =  544
current best value =  692
total weight =  606

current total value =  615
current best value =  692
total weight =  667

current total value =  544
current best value =  692
total weight =  606

current total value =  455
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last editted: 01/06/19

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