Largest product in a grid: Difference between revisions
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Largest product of 5 adjacent elements: 2326829868 |
Largest product of 5 adjacent elements: 2326829868 |
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Largest product of 6 adjacent elements: 188210512710</pre> |
Largest product of 6 adjacent elements: 188210512710</pre> |
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=={{header|Phix}}== |
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<!--<lang Phix>(phixonline)--> |
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<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span> |
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<span style="color: #008080;">function</span> <span style="color: #000000;">splint</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span> |
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<span style="color: #008080;">return</span> <span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">split</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">),</span><span style="color: #7060A8;">to_integer</span><span style="color: #0000FF;">)</span> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
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<span style="color: #008080;">constant</span> <span style="color: #000000;">grid</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">split</span><span style="color: #0000FF;">(</span><span style="color: #008000;">""" |
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08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08 |
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49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00 |
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81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65 |
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52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91 |
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22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80 |
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24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50 |
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32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70 |
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67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21 |
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24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72 |
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21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95 |
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78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92 |
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16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57 |
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86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58 |
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19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40 |
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04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66 |
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88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69 |
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04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36 |
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20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16 |
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20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54 |
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01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48 |
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"""</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">),</span><span style="color: #000000;">splint</span><span style="color: #0000FF;">)</span> |
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<span style="color: #008080;">function</span> <span style="color: #000000;">gridmax</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">len</span><span style="color: #0000FF;">)</span> |
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">gmax</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"???"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">}</span> |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">height</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">grid</span><span style="color: #0000FF;">),</span> |
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<span style="color: #000000;">width</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">grid</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">])</span> |
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<span style="color: #004080;">atom</span> <span style="color: #000000;">prod</span> |
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<span style="color: #008080;">for</span> <span style="color: #000000;">row</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">height</span> <span style="color: #008080;">do</span> |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">rmax</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">row</span><span style="color: #0000FF;">+</span><span style="color: #000000;">len</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> |
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<span style="color: #008080;">for</span> <span style="color: #000000;">col</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">width</span> <span style="color: #008080;">do</span> |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">cmax</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">col</span><span style="color: #0000FF;">+</span><span style="color: #000000;">len</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> |
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<span style="color: #008080;">if</span> <span style="color: #000000;">cmax</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">width</span> <span style="color: #008080;">then</span> |
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<span style="color: #000000;">prod</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">product</span><span style="color: #0000FF;">(</span><span style="color: #000000;">grid</span><span style="color: #0000FF;">[</span><span style="color: #000000;">row</span><span style="color: #0000FF;">][</span><span style="color: #000000;">col</span><span style="color: #0000FF;">..</span><span style="color: #000000;">cmax</span><span style="color: #0000FF;">])</span> |
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<span style="color: #000000;">gmax</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">max</span><span style="color: #0000FF;">(</span><span style="color: #000000;">gmax</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">prod</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"row"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">row</span><span style="color: #0000FF;">,</span><span style="color: #000000;">col</span><span style="color: #0000FF;">})</span> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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<span style="color: #008080;">if</span> <span style="color: #000000;">rmax</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">height</span> <span style="color: #008080;">then</span> |
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<span style="color: #000000;">prod</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">product</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">vslice</span><span style="color: #0000FF;">(</span><span style="color: #000000;">grid</span><span style="color: #0000FF;">,</span><span style="color: #000000;">col</span><span style="color: #0000FF;">)[</span><span style="color: #000000;">row</span><span style="color: #0000FF;">..</span><span style="color: #000000;">rmax</span><span style="color: #0000FF;">])</span> |
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<span style="color: #000000;">gmax</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">max</span><span style="color: #0000FF;">(</span><span style="color: #000000;">gmax</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">prod</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"column"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">row</span><span style="color: #0000FF;">,</span><span style="color: #000000;">col</span><span style="color: #0000FF;">})</span> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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<span style="color: #008080;">return</span> <span style="color: #000000;">gmax</span> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
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<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">6</span> <span style="color: #008080;">do</span> |
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<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"The largest product of length %d is %,d in %s starting at %d,%d\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">i</span><span style="color: #0000FF;">&</span><span style="color: #000000;">gridmax</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">))</span> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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<!--</lang>--> |
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{{out}} |
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<pre> |
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The largest product of length 1 is 99 in row starting at 18,11 |
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The largest product of length 2 is 9,215 in column starting at 8,9 |
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The largest product of length 3 is 776,776 in column starting at 8,16 |
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The largest product of length 4 is 51,267,216 in column starting at 7,16 |
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The largest product of length 5 is 2,326,829,868 in row starting at 18,10 |
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The largest product of length 6 is 188,210,512,710 in row starting at 18,11 |
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</pre> |
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=={{header|Python}}== |
=={{header|Python}}== |