|
Size: 3778
Comment: created section interact/games with "queens on a chess board" and "nim"
|
← Revision 10 as of 2020-06-02 22:07:41 ⇥
Size: 5629
Comment:
|
| Deletions are marked like this. | Additions are marked like this. |
| Line 6: | Line 6: |
== Zeros == Have you ever wished you could count the number of zero digits in a long number like Rainman? by William Stein and Sequoia Lefthand {{attachment:zeros.png}} {{{#!sagecell import random def init(): global B,Br,n,round,tm,t,v B = 40 Br = 15 n = 1 round = 0 tm = 0 t = walltime() init() pretty_print(html("<h1 align=center>Zeros</h1>")) pretty_print(html("<h2 align=center><font color='blue'>How many zeros?</font></h2>")) @interact def zeros(a=selector(buttons=True, nrows=1, values=['Reset'] + [1..B], default=1)): if a == 'Reset': init() global B,Br,n,round,tm,t,v H = "<center>" if a == n: if round > 0: H += "<font size=+3 color='red'>RIGHT</font>" r = walltime() - t tm += r round += 1 t = walltime() while True: n2 = random.randrange(1,Br) if n2 != n: n = n2 break if Br < B: Br += 2 elif round > 0: H += "<font size=+2 color='blue'>Wrong. Try again...</font>" H += "</center>" pretty_print(html(H)) H2 = "<font size=+%s color='#333'>%s</font>"%(random.randrange(-2,5),' '*random.randrange(20) + '0'*n) pretty_print(html(H2)) html("</font>") if round > 0: pretty_print(html("<br><br><center>Score: %s rounds, Average time: %.1f seconds</center>"%( round, float(tm)/round))) }}} |
|
| Line 9: | Line 68: |
| {{{ | {{{#!sagecell |
| Line 22: | Line 81: |
| queens.remove(queen) | if queen in queens: queens.remove(queen) |
| Line 38: | Line 98: |
| print 'Queen at (%d,%d) is threatened by another queen'%(x,y) | print('Queen at (%d,%d) is threatened by another queen' % (x, y)) |
| Line 42: | Line 102: |
| show(matrix_plot(board, cmap='Oranges' )) |
show(matrix_plot(board, cmap='Oranges' )) |
| Line 48: | Line 107: |
| Play nim against a perfect oponent. This interaction exemplifies the use of persistent data, and the auto_update=False option coded by mhansen and included in sage 3.3. | Play nim against a perfect opponent. This interaction exemplifies the use of persistent data, and the auto_update=False option coded by mhansen and included in sage 3.3. |
| Line 50: | Line 109: |
| {{{ | {{{#!sagecell |
| Line 75: | Line 134: |
| }}} {{{ nim=[1,3,5,7] |
nim=[1,3,5,6] |
| Line 79: | Line 137: |
| def _(heap=input_box(default=1), amount=input_box(default=0), auto_update=False ): | def _(heap=selector(range(len(nim)), buttons=True), amount=selector(range(max(nim)+1), buttons=True), auto_update=False): |
| Line 82: | Line 142: |
| print 'You have lost' | print('You have lost') return |
| Line 84: | Line 145: |
| print 'Try to take the last item' | print('Try to take the last item') |
| Line 86: | Line 147: |
| print 'Previous situation:' print game_repr(nim) |
print('Previous situation:') print(game_repr(nim)) |
| Line 90: | Line 151: |
| print 'Your move:' print game_repr(nim) |
print('Your move:') print(game_repr(nim)) if max(nim)==0: print('You win') return |
| Line 93: | Line 157: |
| print 'My move:' | print('My move:') |
| Line 95: | Line 159: |
| myheap,myamount=move_nim(nim) | myheap, myamount = move_nim(nim) |
| Line 98: | Line 162: |
| myheap=min(heap_number for heap_number, heap_size in enumerate(heap_size) if heap_size>0) | myheap=min(heap_number for heap_number, heap_size in enumerate(nim) if heap_size > 0) myamount=1 |
| Line 100: | Line 165: |
| print game_repr(nim) | print(game_repr(nim)) if max(nim)==0: print('I win') else: print('Please move again') |
| Line 102: | Line 171: |
| print 'Please choose a heap and the amount to substract from that heap' print game_repr(nim) |
print('Choose a heap and the amount to substract from that heap') print(game_repr(nim)) |
Sage Interactions - Games and Diversions
goto interact main page
Zeros
Have you ever wished you could count the number of zero digits in a long number like Rainman?
by William Stein and Sequoia Lefthand
Queens on board
An interaction to play with the problem of placing eight queens on a board so that they do not threaten each other. This interaction exemplifies the use of persistent data, and the auto_update=False option coded by mhansen and included in sage 3.3. by Pablo Angulo
Nim
Play nim against a perfect opponent. This interaction exemplifies the use of persistent data, and the auto_update=False option coded by mhansen and included in sage 3.3. by Pablo Angulo
