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< h2 class = "anchor anchorWithStickyNavbar_LWe7" id = "problem" > Problem< a href = "#problem" class = "hash-link" aria-label = "Direct link to Problem" title = "Direct link to Problem" > < / a > < / h2 >
< p > The problem we are going to solve is one of < em > CodeWars< / em > katas and is called
< a href = "https://www.codewars.com/kata/551f23362ff852e2ab000037" target = "_blank" rel = "noopener noreferrer" > Pyramid Slide Down< / a > .< / p >
< p > We are given a 2D array of integers and we are to find the < em > slide down< / em > .
< em > Slide down< / em > is a maximum sum of consecutive numbers from the top to the bottom.< / p >
< p > Let' s have a look at few examples. Consider the following pyramid:< / p >
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< div class = "codeBlockContainer_Ckt0 theme-code-block" style = "--prism-color:#393A34;--prism-background-color:#f6f8fa" > < div class = "codeBlockContent_biex" > < pre tabindex = "0" class = "prism-code language-text codeBlock_bY9V thin-scrollbar" style = "color:#393A34;background-color:#f6f8fa" > < code class = "codeBlockLines_e6Vv" > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 3< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 7 4< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 2 4 6< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 8 5 9 3< / span > < br > < / span > < / code > < / pre > < div class = "buttonGroup__atx" > < button type = "button" aria-label = "Copy code to clipboard" title = "Copy" class = "clean-btn" > < span class = "copyButtonIcons_eSgA" aria-hidden = "true" > < svg viewBox = "0 0 24 24" class = "copyButtonIcon_y97N" > < path fill = "currentColor" d = "M19,21H8V7H19M19,5H8A2,2 0 0,0 6,7V21A2,2 0 0,0 8,23H19A2,2 0 0,0 21,21V7A2,2 0 0,0 19,5M16,1H4A2,2 0 0,0 2,3V17H4V3H16V1Z" > < / path > < / svg > < svg viewBox = "0 0 24 24" class = "copyButtonSuccessIcon_LjdS" > < path fill = "currentColor" d = "M21,7L9,19L3.5,13.5L4.91,12.09L9,16.17L19.59,5.59L21,7Z" > < / path > < / svg > < / span > < / button > < / div > < / div > < / div >
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< p > This pyramid has following slide down:< / p >
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< div class = "codeBlockContainer_Ckt0 theme-code-block" style = "--prism-color:#393A34;--prism-background-color:#f6f8fa" > < div class = "codeBlockContent_biex" > < pre tabindex = "0" class = "prism-code language-text codeBlock_bY9V thin-scrollbar" style = "color:#393A34;background-color:#f6f8fa" > < code class = "codeBlockLines_e6Vv" > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > *3< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > *7 4< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 2 *4 6< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 8 5 *9 3< / span > < br > < / span > < / code > < / pre > < div class = "buttonGroup__atx" > < button type = "button" aria-label = "Copy code to clipboard" title = "Copy" class = "clean-btn" > < span class = "copyButtonIcons_eSgA" aria-hidden = "true" > < svg viewBox = "0 0 24 24" class = "copyButtonIcon_y97N" > < path fill = "currentColor" d = "M19,21H8V7H19M19,5H8A2,2 0 0,0 6,7V21A2,2 0 0,0 8,23H19A2,2 0 0,0 21,21V7A2,2 0 0,0 19,5M16,1H4A2,2 0 0,0 2,3V17H4V3H16V1Z" > < / path > < / svg > < svg viewBox = "0 0 24 24" class = "copyButtonSuccessIcon_LjdS" > < path fill = "currentColor" d = "M21,7L9,19L3.5,13.5L4.91,12.09L9,16.17L19.59,5.59L21,7Z" > < / path > < / svg > < / span > < / button > < / div > < / div > < / div >
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< p > And its value is < code > 23< / code > .< / p >
< p > We can also have a look at a < em > bigger< / em > example:< / p >
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< div class = "codeBlockContainer_Ckt0 theme-code-block" style = "--prism-color:#393A34;--prism-background-color:#f6f8fa" > < div class = "codeBlockContent_biex" > < pre tabindex = "0" class = "prism-code language-text codeBlock_bY9V thin-scrollbar" style = "color:#393A34;background-color:#f6f8fa" > < code class = "codeBlockLines_e6Vv" > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 75< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 95 64< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 17 47 82< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 18 35 87 10< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 20 4 82 47 65< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 19 1 23 3 34< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 88 2 77 73 7 63 67< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 99 65 4 28 6 16 70 92< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 41 41 26 56 83 40 80 70 33< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 41 48 72 33 47 32 37 16 94 29< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 53 71 44 65 25 43 91 52 97 51 14< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 70 11 33 28 77 73 17 78 39 68 17 57< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 91 71 52 38 17 14 91 43 58 50 27 29 48< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 63 66 4 68 89 53 67 30 73 16 69 87 40 31< / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > 4 62 98 27 23 9 70 98 73 93 38 53 60 4 23< / span > < br > < / span > < / code > < / pre > < div class = "buttonGroup__atx" > < button type = "button" aria-label = "Copy code to clipboard" title = "Copy" class = "clean-btn" > < span class = "copyButtonIcons_eSgA" aria-hidden = "true" > < svg viewBox = "0 0 24 24" class = "copyButtonIcon_y97N" > < path fill = "currentColor" d = "M19,21H8V7H19M19,5H8A2,2 0 0,0 6,7V21A2,2 0 0,0 8,23H19A2,2 0 0,0 21,21V7A2,2 0 0,0 19,5M16,1H4A2,2 0 0,0 2,3V17H4V3H16V1Z" > < / path > < / svg > < svg viewBox = "0 0 24 24" class = "copyButtonSuccessIcon_LjdS" > < path fill = "currentColor" d = "M21,7L9,19L3.5,13.5L4.91,12.09L9,16.17L19.59,5.59L21,7Z" > < / path > < / svg > < / span > < / button > < / div > < / div > < / div >
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< p > Slide down in this case is equal to < code > 1074< / code > .< / p >
< h2 class = "anchor anchorWithStickyNavbar_LWe7" id = "solving-the-problem" > Solving the problem< a href = "#solving-the-problem" class = "hash-link" aria-label = "Direct link to Solving the problem" title = "Direct link to Solving the problem" > < / a > < / h2 >
< div class = "theme-admonition theme-admonition-caution admonition_xJq3 alert alert--warning" > < div class = "admonitionHeading_Gvgb" > < span class = "admonitionIcon_Rf37" > < svg viewBox = "0 0 16 16" > < path fill-rule = "evenodd" d = "M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z" > < / path > < / svg > < / span > caution< / div > < div class = "admonitionContent_BuS1" > < p > I will describe the following ways you can approach this problem and implement
them in < em > Java< / em > < sup > < a href = "#user-content-fn-1" id = "user-content-fnref-1" data-footnote-ref = "true" aria-describedby = "footnote-label" > 1< / a > < / sup > .< / p > < / div > < / div >
< p > For all of the following solutions I will be using basic < code > main< / code > function that
will output < code > true< / code > /< code > false< / code > based on the expected output of our algorithm. Any
other differences will lie only in the solutions of the problem. You can see the
< code > main< / code > here:< / p >
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< div class = "language-java codeBlockContainer_Ckt0 theme-code-block" style = "--prism-color:#393A34;--prism-background-color:#f6f8fa" > < div class = "codeBlockContent_biex" > < pre tabindex = "0" class = "prism-code language-java codeBlock_bY9V thin-scrollbar" style = "color:#393A34;background-color:#f6f8fa" > < code class = "codeBlockLines_e6Vv" > < span class = "token-line" style = "color:#393A34" > < span class = "token keyword" style = "color:#00009f" > public< / span > < span class = "token plain" > < / span > < span class = "token keyword" style = "color:#00009f" > static< / span > < span class = "token plain" > < / span > < span class = "token keyword" style = "color:#00009f" > void< / span > < span class = "token plain" > < / span > < span class = "token function" style = "color:#d73a49" > main< / span > < span class = "token punctuation" style = "color:#393A34" > (< / span > < span class = "token class-name" > String< / span > < span class = "token punctuation" style = "color:#393A34" > [< / span > < span class = "token punctuation" style = "color:#393A34" > ]< / span > < span class = "token plain" > args< / span > < span class = "token punctuation" style = "color:#393A34" > )< / span > < span class = "token plain" > < / span > < span class = "token punctuation" style = "color:#393A34" > {< / span > < span class = "token plain" > < / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > < / span > < span class = "token class-name" > System< / span > < span class = "token punctuation" style = "color:#393A34" > .< / span > < span class = "token plain" > out< / span > < span class = "token punctuation" style = "color:#393A34" > .< / span > < span class = "token function" style = "color:#d73a49" > print< / span > < span class = "token punctuation" style = "color:#393A34" > (< / span > < span class = "token string" style = "color:#e3116c" > " Test #1: " < / span > < span class = "token punctuation" style = "color:#393A34" > )< / span > < span class = "token punctuation" style = "color:#393A34" > ;< / span > < span class = "token plain" > < / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > < / span > < span class = "token class-name" > System< / span > < span class = "token punctuation" style = "color:#393A34" > .< / span > < span class = "token plain" > out< / span > < span class = "token punctuation" style = "color:#393A34" > .< / span > < span class = "token function" style = "color:#d73a49" > println< / span > < span class = "token punctuation" style = "color:#393A34" > (< / span > < span class = "token function" style = "color:#d73a49" > longestSlideDown< / span > < span class = "token punctuation" style = "color:#393A34" > (< / span > < span class = "token keyword" style = "color:#00009f" > new< / span > < span class = "token plain" > < / span > < span class = "token keyword" style = "color:#00009f" > int< / span > < span class = "token punctuation" style = "color:#393A34" > [< / span > < span class = "token punctuation" style = "color:#393A34" > ]< / span > < span class = "token punctuation" style = "color:#393A34" > [< / span > < span class = "token punctuation" style = "color:#393A34" > ]< / span > < span class = "token plain" > < / span > < span class = "token punctuation" style = "color:#393A34" > {< / span > < span class = "token plain" > < / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > < / span > < span class = "token punctuation" style = "color:#393A34" > {< / span > < span class = "token plain" > < / span > < span class = "token number" style = "color:#36acaa" > 3< / span > < span class = "token plain" > < / span > < span class = "token punctuation" style = "color:#393A34" > }< / span > < span class = "token punctuation" style = "color:#393A34" > ,< / span > < span class = "token plain" > < / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > < / span > < span class = "token punctuation" style = "color:#393A34" > {< / span > < span class = "token plain" > < / span > < span class = "token number" style = "color:#36acaa" > 7< / span > < span class = "token punctuation" style = "color:#393A34" > ,< / span > < span class = "token plain" > < / span > < span class = "token number" style = "color:#36acaa" > 4< / span > < span class = "token plain" > < / span > < span class = "token punctuation" style = "color:#393A34" > }< / span > < span class = "token punctuation" style = "color:#393A34" > ,< / span > < span class = "token plain" > < / span > < br > < / span > < span class = "token-line" style = "color:#393A34" > < span class = "token plain" > < / span > < span cla
2023-11-24 16:55:55 +01:00
< section data-footnotes = "true" class = "footnotes" > < h2 class = "anchor anchorWithStickyNavbar_LWe7 sr-only" id = "footnote-label" > Footnotes< a href = "#footnote-label" class = "hash-link" aria-label = "Direct link to Footnotes" title = "Direct link to Footnotes" > < / a > < / h2 >
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< p > cause why not, right!? < a href = "#user-content-fnref-1" data-footnote-backref = "" aria-label = "Back to reference 1" class = "data-footnote-backref" > ↩< / a > < / p >
< / li >
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2023-12-28 18:55:58 +01:00
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