The hourglass challenge

Question

The Hourglass

This hourglass has 60 "sands of time", and it completely fills each chamber. The clock is 19 characters wide and 13 characters in height. Each chamber has 5 rows of sand and there is a row in the centre that can hold 1 sand. The top row can hold 17 sands, the next one 15 and so on (see below). Sands fall in to the bottom chamber at the rate of one sand per second.

       START                     3 SECONDS LATER               38 SECONDS LATER

███████████████████            ███████████████████            ███████████████████
█.................█   17       █..............   █   14       █                 █    0
██...............██   15       ██...............██   15       ██               ██    0
███.............███   13       ███.............███   13       ███.......      ███    7  
█████.........█████   09       █████.........█████   09       █████.........█████   09 
███████.....███████   05       ███████.....███████   05       ███████.....███████   05 
█████████.█████████   01       █████████.█████████   01       █████████.█████████   01 
███████     ███████            ███████  .  ███████            ███████  .  ███████  
█████         █████            █████    .    █████            █████    .    █████   
███             ███            ███      .      ███            ███....         ███
██               ██            ██               ██            ██...............██  
█                 █            █                 █            █.................█  
███████████████████            ███████████████████            ███████████████████   

The Challenge

Display the hourglass (no numbers or headings are required) after a certain period of time (0 ≤ t ≤ 60).

Coding Rules

1. The hourglass should look exactly as shown here. You may replace the █ character and/or the . character with whatever you like to fit your language (Unicode, ASCII compatibility issues).
2. The input should be a number such as 45 or 7. Display the clock after these many seconds.
3. The output can either be displayed or saved to a file. No extra text or labels as shown above are required - just the hourglass is all we need.
4. If the user enters t > 60, you don't have to handle the error.

Points

1. Shortest code wins.

Answer 1

JavaScript (ES6), 203 208 233 270 256 characters

Edit Revised using a loop instead of a sequence of calls.

Edit Added top and bottom row that were missing.

A function returning the output. Run the snippet in Firefox to test.

f=w=>[h='█'[R='repeat'](19),...[17,15,13,9,5,1,5,9,13,15,17].map((d,i)=>(t=i>5?-v:v,v-=i<5?d:1-d,e=' '[R](d/2),b='█'[R](10-d/2),b+('.'[R](t<d&&d-t)+e+' .'[i>4&w>i-6&t>=d|0]+e).slice(0,d)+b),v=w),h].join`
`

// Less golfed
F=
w=>[h='█'.repeat(19),
    ... [17, 15, 13, 9, 5, 1, 5, 9, 13, 15, 17].map(
     (d,i) => (
       t = i>5 ? -v : v,
       v -= i<5 ? d : 1-d, 
       e = ' '.repeat(d / 2),
       b = '█'.repeat(10 - d / 2),
       b + 
        ('.'.repeat(t < d && d - t) 
         + e + ' .'[i > 4 & w > i-6 & t >= d | 0]
         + e).slice(0,d)
       + b
     ), v = w
    ),
    h].join('\n')

// TEST            

O.innerHTML=f(+I.value)

function tick(d) {
  var i=+I.value+d
  I.value=i
  O.innerHTML=f(i)
}

var int=0;

function auto()
{
  function go()
  {
    var t = I.value;
    O.innerHTML=f(++t)
    if (t>70)t=0;
    I.value = t;
  }
  if (A.checked && !int)
  { 
    int = setInterval(go, 200);
  }
  else if (!A.checked && int)
  {
    clearInterval(int);
    int = 0;
  }
}

input[type=text] { width: 3em }

<button onclick='tick(-1)'>-</button>
<input type=text id=I value=0 onchange='tick(0)' >
<button onclick='tick(1)'>+</button>
<input type=checkbox id=A onclick='auto()'>Fly time
<pre id=O><pre>

Answer 2

Python 2, 200

t=input()+1
s=' '*t+'.'*60+' '*70
n=0
d=sum((1<t<56,2<t<48,3<t<36,4<t<22))
for c in'ctrplhdhlprtc':i=ord(c)-99;print[s[n+i:n:-1],[s[180-n-i+d:][:i],'.'][5+d*3>i>0]][n>59].center(i).center(19,'#');n+=i

xnor has made a 197 byte version in the chat.

I would post an explanation, but I've lost track of how it actually works...

Also, here's an animated version with curses:

from curses import*
w=initscr()

for t in range(1,61):
    s=' '*t+'.'*60+' '*70
    n=0
    d=sum((1<t<56,2<t<48,3<t<36,4<t<22))
    for i in 0,17,15,13,9,5,1,5,9,13,15,17,0:w.addstr([s[n+i:n:-1],[s[180-n-i+d:][:i],'.'][5+d*3>i>0]][n>59].center(i).center(19,'#')+"\n");n+=i
    w.refresh()
    w.clear()
    napms(999)

endwin()

Answer 3

Python 2.7, 362 356 347

e,c,x,a,b,n=' .#ab\n';R,r,s,l,T,m=range,str.replace,'',19,[1,2,3,5,7,9],-1
for t in[T,T[:m][::m]]:s+=''.join([n+x*y+c*(l-y*2)+x*y for y in t]);c=b
s=list(s)
for i in R(130,220,20):s[i]=a
for _ in R(input()):s[s.index('.')]=e;i=s.index(a)if a in s else 219-s[::m].index(b);s[i]='.'
for l in(x*l+r(r(''.join(s),a,e),b,e)+n+x*l).split(n):print l[::m]

Output at 38 seconds :

###################
#                 #
##               ##
###.......      ###
#####.........#####
#######.....#######
#########.#########
#######  .  #######
#####    .    #####
###...   .      ###
##...............##
#.................#
###################

Answer 4

C 544

Here's what I have so far for a C solution.

#include <stdio.h>
int main(int z,char **a){int r,i,y=i=0,v,d,t,m,s=atoi(a[1]),n[13]={0,43,28,15,6,1,0,1,5,13,25,39,0};char H[13][20];while(y<13){int x,b=x=i=0;v=y-6;t=3+abs(v);m=2*abs(v);d=t<m?t:m;d=9-d;if(d==0)d=10;while (b<d){H[y][b]='#';H[y][18-b]='#';b++;}while(x<19-2*b){if(x<=s-n[y])H[y][x+b]=v>0?' ':'.';else H[y][x+b]=v>0?'.':' ';x++;}if(s>58)r=0;else if(s==58)r=1;else if(s==57)r=2;else if(s==56)r=3;else if(s>38)r=4;else if(s>24)r=3;else if(s>12)r=2;else if(s>4)r=1;while(i<r){H[7+i][9]='.';i++;}H[y][19]='\n';y++;}fputs(H,stdout);}

Compiled with the following command:

gcc -w -o hourglass hourglass.c  // I realize I should have cast H as a char *, but since it works this way, I just decided to suppress the error from the compiler instead to save space.

Admittedly, this language has a lot of bulk- that include statement was a bit of a handicap coming right out of the blocks, but I really was just looking for an excuse to practice using C.

I hope you like my solution, and let me know if you see ways to improve.

Answer 5

Matlab, 252 bytes

The idea is constructing a matrix that looks like this:

0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
0  17  16  15  14  13  12  11  10   9   8   7   6   5   4   3   2   1   0
0   0  32  31  30  29  28  27  26  25  24  23  22  21  20  19  18   0   0
0   0   0  45  44  43  42  41  40  39  38  37  36  35  34  33   0   0   0
0   0   0   0   0  54  53  52  51  50  49  48  47  46   0   0   0   0   0
0   0   0   0   0   0   0  59  58  57  56  55   0   0   0   0   0   0   0
0   0   0   0   0   0   0   0   0  60   0   0   0   0   0   0   0   0   0
0   0   0   0   0   0   0 116 117  61 118 119   0   0   0   0   0   0   0
0   0   0   0   0 108 109 110 111  62 112 113 114 115   0   0   0   0   0
0   0   0  96  97  98  99 100 101  63 102 103 104 105 106 107   0   0   0
0   0  82  83  84  85  86  87  88  64  89  90  91  92  93  94  95   0   0
0  66  67  68  69  70  71  72  73  65  74  75  76  77  78  79  80  81   0
0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0

From there it is easy to fill the entries with the strings dependent on n (filling all entries that are greater than n and smaller than n+60 with dots)

function c=f(n);
b=zeros(13,19);
z=[0,17,32,45,54,59];
y=-2:3;
for k=2:6;
    d=k+sum(k>4:5);
    b(k,d:20-d)=z(k):-1:z(k-1)+1;
    b(14-k,d:19-d)=68+(z(k-1):z(k)-2)-k;
end;
b(8:12,11:19)=b(8:12,10:18);
b(7:12,10)=60:65;c=[ones(13,19)*32,''];
c(~b)='¶';c(n<b)=46;c(b>n+60)=32

For n=38 we get this output:

¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶
¶                 ¶
¶¶               ¶¶
¶¶¶.......      ¶¶¶
¶¶¶¶¶.........¶¶¶¶¶
¶¶¶¶¶¶¶.....¶¶¶¶¶¶¶
¶¶¶¶¶¶¶¶¶.¶¶¶¶¶¶¶¶¶
¶¶¶¶¶¶¶  .  ¶¶¶¶¶¶¶
¶¶¶¶¶    .    ¶¶¶¶¶
¶¶¶...   .      ¶¶¶
¶¶...............¶¶
¶.................¶
¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶

Answer 6

Haskell 512 Bytes

h=[17,15,13,9,5,1];b=drop 1$reverse h;n#s=[1..n]>>[s];s='.';n =' ';c q=(q#n)++(60-q)#s;f q|q<=5=q#s|3>2=g#s where{g=foldl i 5 (scanl (+) 0 h);i x y=if q>x+y then x-1 else x};e q=j#s++(59-length(k q)-(j))#n where{j=q-length(f q)};l q=c q++k q++(reverse$e q);p _ []=[];p x y=reverse(z++take q x++z):p (drop (head y) x) (tail y)where{q=head y;z=replicate(div (19-q) 2) '|'};k q= (concat.map(\x -> z x ++ "." ++ z x).take (length.f$q)$b)where{z x=(div x 2)#n};m n=mapM_ putStrLn $ t ++ p (l n) (h++b) ++ t;t=[19#'|'] 

Input m 55

Output

|||||||||||||||||||
|                 |
||               ||
|||             |||
|||||         |||||
|||||||.... |||||||
|||||||||.|||||||||
|||||||  .  |||||||
|||||.........|||||
|||.............|||
||...............||
|.................|
|||||||||||||||||||

Input m 48 Output

    |||||||||||||||||||
    |                 |
    ||               ||
    |||             |||
    |||||......   |||||
    |||||||.....|||||||
    |||||||||.|||||||||
    |||||||  .  |||||||
    |||||..       |||||
    |||.............|||
    ||...............||
    |.................|
    |||||||||||||||||||

Answer 7

Java, 712

Input is taken from the command line. Handles both negative values for the time as well as larger than required.

enum H{;public static void main(String[]r){int x=0,y=0,z=0,l,t=Integer.parseInt(r[0]);String b="",d="█",e=" ",f=".",n="\n",j,k,a="███████████████████"+n;int[]w={17,15,13,9,5},v;int[][]h=new int[10][];for(;x<5;){l=w[x];v=(h[x++]=new int[l--]);l/=2;v[l]=++z;for(y=0;y++<l;){v[l-y]=++z;v[l+y]=++z;}}for(z=0;x>0;){l=w[--x];v=(h[9-x]=new int[l--]);v[l/2]=++z;}for(;x<5;){l=(w[x]-1)/2;v=h[9-x++];for(y=0;y++<l;){v[l-y]=++z;v[l+y]=++z;}}p(a);for(x=0;x<5;x++){l=w[x];j=b;for(y=0;y++*2<19-l;)j+=d;k=b;for(y=0;y<l;)k+=t<h[x][y++]?f:e;p(j+k+j+n);}j="█████████";p(j+f+j+n);for(;x>0;){l=w[--x];j=b;for(y=0;y++*2<19-l;)j+=d;k=b;for(y=0;y<l;)k+=t<h[9-x][y++]?e:f;p(j+k+j+n);}p(a);}static void p(String s){System.out.print(s);}}

output:

time: 0
███████████████████
█.................█
██...............██
███.............███
█████.........█████
███████.....███████
█████████.█████████
███████     ███████
█████         █████
███             ███
██               ██
█                 █
███████████████████

time: 1
███████████████████
█........ ........█
██...............██
███.............███
█████.........█████
███████.....███████
█████████.█████████
███████  .  ███████
█████         █████
███             ███
██               ██
█                 █
███████████████████

time: 9
███████████████████
█....         ....█
██...............██
███.............███
█████.........█████
███████.....███████
█████████.█████████
███████  .  ███████
█████    .    █████
███      .      ███
██       .       ██
█      .....      █
███████████████████

time: 41
███████████████████
█                 █
██               ██
███..         ..███
█████.........█████
███████.....███████
█████████.█████████
███████  .  ███████
█████    .    █████
███   .......   ███
██...............██
█.................█
███████████████████

It fills the sand from the center expanding outwards. I can probably golf it more if I get lazy with how it fills the bottom half and empties the top half. But for now I quite like it.

Answer 8

C#, 382 410

it might still be possible to reduce it by a few bytes...

class Program{static void Main(){int u=60-22,d=u,i,j,k,l,m;var c=new char[260];var r=new int[]{0,17,15,13,9,5,1,5,9,13,15,17,0,54,45,32,17,0};for(i=0;i<13;){m=0;l=(19-r[i])/2-1;for(j=19;j>=0;){k=i*20+j--;var b=j>=l&&j<r[i]+l;if(i>6&b)c[k-r[i]+m++ +m]=r[i+6]<d&&d-->0||j==8&r[i+6]>d&&d-->0?'.':' ';else c[k]=i<7&b?u-->1?' ':'.':'█';}c[++i*20-1]='\n';}System.Console.WriteLine(c);}}

Fiddler - 38sec

Answer 9

Ruby: 196 190 186 185 184 characters

u=[0,17,15,13,9,5].map{|i|(?.*i).center 19,?#}*$/
(?1..$*[0]).map{u[?.]=' '}
l=u.reverse
5.times{|i|l[p=i*20+9]==?.&&l[' ']&&(l[p]=?|)&&l[' ']=?.}
puts u,?#*9+?.+?#*9,l.tr('. | ',' .')

CW because not conforms exactly to the posted samples as this consumes sand starting from the left. Mostly just a demonstration of String.[]= method.

Sample run:

bash-4.3$ ruby hg.rb 38
###################
#                 #
##               ##
###      .......###
#####.........#####
#######.....#######
#########.#########
#######  .  #######
#####    .    #####
###      .   ...###
##...............##
#.................#
###################

Ruby: 215 characters

This is generates the exact required output:

u=[0,17,15,13,9,5].map{|i|(?.*i).center 19,?#}*$/
(?1..$*[0]).map{u[?.]=' '}
l=u.reverse
5.times{|i|l[p=i*20+9]==?.&&l[' ']&&(l[p]=?|)&&l[' ']=?.}
puts ([u,?#*9+?.+?#*9,l.tr('. | ',' .')]*$/).split($/).map &:reverse

Sample run:

bash-4.3$ ruby hg.rb 38
###################
#                 #
##               ##
###.......      ###
#####.........#####
#######.....#######
#########.#########
#######  .  #######
#####    .    #####
###...   .      ###
##...............##
#.................#
###################