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20 H f
(Anagrams)2423 960 w
(Definitions)1080 1620 w
(Algorithms)1080 1860 w
(Two Slow Algorithms)2 1870 1 1580 2100 t
(A Fast Algorithm)2 1482 1 1580 2340 t
(An Implementation)1 1674 1 1080 2580 t
(The Strategy)1 1150 1 1580 2820 t
(The Components)1 1540 1 1580 3060 t
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(From)720 7800 w
6 I f
(Programming Pearls)1 507 1 878 7800 t
6 R f
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20 H f
(Anagrams)2603 960 w
20 HI f
(Definition.)720 1560 w
20 H f
(Two words are anagrams if one can be)7 3470 1 1724 1560 t
(formed by permuting the letters in the other.)7 3896 1 720 1800 t
(A 6-element anagram set:)3 2310 1 720 2520 t
(opts pots post stop spot tops)5 2840 1 1080 2820 t
20 HI f
(The Problem.)1 1204 1 720 3840 t
20 H f
(How would you compute all anagram)5 3290 1 2036 3840 t
(sets in a dictionary of 230,000 English words?)7 4086 1 720 4080 t
(\(Related problem: how to find all anagrams of an)8 4330 1 720 4320 t
(input word?\))1 1104 1 720 4560 t
6 H f
(From)720 7800 w
6 I f
(Programming Pearls)1 507 1 878 7800 t
6 R f
(, Copyright)1 274 1 1385 7800 t
6 S f
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6 R f
( Pearls-2-2)1 3011(2000, Lucent Technologies)2 653 2 1736 7800 t
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20 H f
(Two Slow Algorithms)2 1870 1 2125 960 t
20 HI f
(Examine All Permutations.)2 2352 1 720 1560 t
20 H f
(``cholecystoduodenos-)3184 1560 w
( !)1 72(tomy'' has 22)2 1182 2 720 1800 t
20 S f
(~)2062 1760 w
(~)2062 1810 w
20 H f
(1. 1)1 296 1 2260 1800 t
20 S f
(\264)2572 1800 w
20 H f
(10)2698 1800 w
17 H f
(21)2936 1720 w
20 H f
(permutations. One)1 1708 1 3198 1800 t
( 1)1 128(picosecond each gives 1.)3 2256 2 720 2040 t
20 S f
(\264)3120 2040 w
20 H f
(10)3246 2040 w
17 H f
(9)3484 1960 w
20 H f
(seconds, or a few)3 1574 1 3651 2040 t
(decades.)720 2280 w
(\(The rule of thumb that ``)5 2176 1 720 2760 t
20 S f
(p)2896 2760 w
20 H f
(seconds is a nanocen-)3 2010 1 3062 2760 t
(tury'' is half a percent off the true value of)9 3674 1 720 3000 t
(3. 155)1 520 1 720 3240 t
20 S f
(\264)1256 3240 w
20 H f
(10)1382 3240 w
17 H f
(7)1620 3160 w
20 H f
(seconds per year.\))2 1662 1 1787 3240 t
20 HI f
(Examine All Pairs of Words.)4 2484 1 720 3960 t
20 H f
(Assume 230,000)1 1508 1 3316 3960 t
(words in the dictionary, 1 microsec per compare.)7 4314 1 720 4200 t
( words)1 622(230 , 000)2 760 2 864 4560 t
20 S f
(\264)2334 4560 w
20 H f
( comps)1 678(230 , 000)2 760 2 2532 4560 t
20 HI f
(/)3986 4560 w
20 H f
(word)4058 4560 w
20 S f
(\264)1584 4920 w
20 H f
(1 microsec)1 1000 1 1782 4920 t
20 HI f
(/)2798 4920 w
20 H f
(comp)2870 4920 w
20 S f
(=)1097 5280 w
20 H f
(52900)1384 5280 w
20 S f
(\264)1960 5280 w
20 H f
(10)2086 5280 w
17 H f
(6)2324 5200 w
20 H f
(microsecs)2523 5280 w
20 S f
(=)1097 5640 w
20 H f
(52900 secs)1 1060 1 1384 5640 t
20 S f
(~)1080 5960 w
(~)1080 6010 w
20 H f
( hours)1 590(14. 7)1 408 2 1350 6000 t
6 H f
(From)720 7800 w
6 I f
(Programming Pearls)1 507 1 878 7800 t
6 R f
(, Copyright)1 274 1 1385 7800 t
6 S f
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( Pearls-2-3)1 3011(2000, Lucent Technologies)2 653 2 1736 7800 t
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20 H f
(A Fast Algorithm)2 1482 1 2319 960 t
20 HI f
(The Idea.)1 850 1 720 1800 t
20 H f
(Sign words so that those in the same)7 3294 1 1682 1800 t
(anagram class have the same signature, and then)7 4456 1 720 2040 t
(collect equal signatures.)2 2154 1 720 2280 t
20 HI f
(The Signature.)1 1318 1 720 3000 t
20 H f
( sig-)1 378( The)1 458(Sort letters within a word.)4 2252 3 2150 3000 t
(nature of ``deposit'' is ``deiopst'', which is also the)8 4338 1 720 3240 t
(signature of ``dopiest''.)2 1986 1 720 3480 t
20 HI f
(Collecting the Classes.)2 2040 1 720 4200 t
20 H f
(Sort the words by their sig-)5 2386 1 2872 4200 t
(natures.)720 4440 w
20 HI f
(A Summary.)1 1102 1 720 5160 t
20 H f
(Sort this way \(with a horizontal wave)6 3244 1 1934 5160 t
(of the hand\) then that way \(a vertical wave\).)8 3896 1 720 5400 t
6 H f
(From)720 7800 w
6 I f
(Programming Pearls)1 507 1 878 7800 t
6 R f
(, Copyright)1 274 1 1385 7800 t
6 S f
(\323)1674 7800 w
6 R f
( Pearls-2-4)1 3011(2000, Lucent Technologies)2 653 2 1736 7800 t
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20 H f
(Implementation with Pipes)2 2342 1 1889 960 t
( Example:)1 948(A pipeline of three programs.)4 2578 2 720 1560 t
16 H f
(pans)707 2396 w
(pots)730 2636 w
(opt)770 2876 w
(snap)707 3116 w
(stop)730 3356 w
(tops)730 3596 w
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1170 2964 1098 2982 Dl
1170 2964 1098 2946 Dl
1170 2820 1170 3108 Dl
1602 2820 1170 2820 Dl
1602 3108 1602 2820 Dl
1170 3108 1602 3108 Dl
16 CW f
(sign)1194 2996 w
1746 2964 1602 2964 Dl
1746 2964 1674 2982 Dl
1746 2964 1674 2946 Dl
16 H f
(anps pans)1 745 1 1698 2396 t
(opst pots)1 655 1 1743 2636 t
(opt opt)1 495 1 1823 2876 t
(anps snap)1 745 1 1698 3116 t
(opst stop)1 655 1 1743 3356 t
(opst tops)1 655 1 1743 3596 t
2538 2964 2394 2964 Dl
2538 2964 2466 2982 Dl
2538 2964 2466 2946 Dl
2538 2820 2538 3108 Dl
2970 2820 2538 2820 Dl
2970 3108 2970 2820 Dl
2538 3108 2970 3108 Dl
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(sort)2562 2996 w
3114 2964 2970 2964 Dl
3114 2964 3042 2982 Dl
3114 2964 3042 2946 Dl
16 H f
(anps pans)1 745 1 3066 2396 t
(anps snap)1 745 1 3066 2636 t
(opt opt)1 495 1 3191 2876 t
(opst pots)1 655 1 3111 3116 t
(opst stop)1 655 1 3111 3356 t
(opst tops)1 655 1 3111 3596 t
3906 2964 3762 2964 Dl
3906 2964 3834 2982 Dl
3906 2964 3834 2946 Dl
3906 2820 3906 3108 Dl
4518 2820 3906 2820 Dl
4518 3108 4518 2820 Dl
3906 3108 4518 3108 Dl
16 CW f
(squash)3924 2996 w
4662 2964 4518 2964 Dl
4662 2964 4590 2982 Dl
4662 2964 4590 2946 Dl
16 H f
(pans snap)1 745 1 4650 2756 t
(opt)4910 2996 w
(pots stop tops)2 1005 1 4520 3236 t
6 H f
(From)720 7800 w
6 I f
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(From)720 7800 w
6 I f
(Programming Pearls)1 507 1 878 7800 t
6 R f
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