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holmescn

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[½»Á÷] Euler ¹¤³Ì µÚʮһÌ⣺ÏàÁÚÔªËØ³Ë»ý×î´ó ÒÑÓÐ4È˲ÎÓë

In the 20x20 grid below, four numbers along a diagonal line have been marked in red.

08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48
The product of these numbers is 26x63x78x14 = 1788696.

What is the greatest product of four adjacent numbers in any direction (up, down, left, right, or diagonally) in the 20x20 grid?

¸øÁËÒ»¸ö20x20µÄÁ½Î»Êý¾ØÕ󣬯äÖеĺì×Ö²¿·ÖµÄ»ýΪ£º
26x63x78x14=1788696
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libralibra

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ÓàÔó³É(½ð±Ò+3, ³ÌÐòÇ¿Ìû+1): лл²ÎÓë»î¶¯£¡ 2011-05-16 17:47:46
¾ØÕóÔËËã,matlabÇ¿Ïî
CODE:
%% What is the greatest product of four adjacent numbers in any direction
% (up, down, left, right, or diagonally) in the 20¡Á20 grid?
function result = euler11()
tic;
s = [08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48];
[m,n] = size(s);
result = 0;
for i=1:m-3
    for j=1:n-3
        curgrid = s(i:i+3,j:j+3);
        result = max([result,max([max(prod(curgrid,1)), ... % row -
                    max(prod(curgrid,2)), ... % column |
                    prod(diag(curgrid)), ... % diag \
                    prod(diag(imrotate(curgrid,90)))])]); % sub diag /
    end
end
toc;
end

½á¹û,ʱ¼ä
CODE:
% Elapsed time is 0.158644 seconds.
% ans =
%     70600674

matlab/VB/python/c++/Javaд³ÌÐòÇë·¢QQÓʼþ:790404545@qq.com
3Â¥2011-05-16 15:59:44
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huycwork

½ð³æ (ÖøÃûдÊÖ)

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ÓàÔó³É(½ð±Ò+1): ¹ÄÀøÌÖÂÛ£¡ 2011-05-16 17:47:24
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2Â¥2011-05-16 15:23:04
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huycwork

½ð³æ (ÖøÃûдÊÖ)

¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
ÒýÓûØÌû:
Originally posted by libralibra at 2011-05-16 15:59:44:
¾ØÕóÔËËã,matlabÇ¿Ïî

[code] %% What is the greatest product of four adjacent numbers in any direction
% (up, down, left, right, or diagonally) in the 20¡Á20 grid?
function result = euler11()
...

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äöÎеÄÖÐÐÄÓÐÒ»¿é¿ÕµØ£¬¿Õ¿ÕµÄ¡£
4Â¥2011-05-16 16:15:36
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

sudo

ľ³æ (ÕýʽдÊÖ)

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ÓàÔó³É(½ð±Ò+2): лл²ÎÓë½»Á÷£¡ 2011-05-17 08:26:37
ÒýÓûØÌû:
Originally posted by huycwork at 2011-05-16 16:15:36:
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