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< script > ! function ( ) { function t ( t ) { document . documentElement . setAttribute ( "data-theme" , t ) } var e = function ( ) { try { return new URLSearchParams ( window . location . search ) . get ( "docusaurus-theme" ) } catch ( t ) { } } ( ) || function ( ) { try { return localStorage . getItem ( "theme" ) } catch ( t ) { } } ( ) ; t ( null !== e ? e : "light" ) } ( ) , function ( ) { try { const c = new URLSearchParams ( window . location . search ) . entries ( ) ; for ( var [ t , e ] of c ) if ( t . startsWith ( "docusaurus-data-" ) ) { var a = t . replace ( "docusaurus-data-" , "data-" ) ; document . documentElement . setAttribute ( a , e ) } } catch ( t ) { } } ( ) < / script > < div id = "__docusaurus" > < div role = "region" aria-label = "Skip to main content" > < a class = "skipToContent_fXgn" href = "#__docusaurus_skipToContent_fallback" > Skip to main content< / a > < / div > < nav aria-label = "Main" class = "navbar navbar--fixed-top" > < div class = "navbar__inner" > < div class = "navbar__items" > < button aria-label = "Toggle navigation bar" aria-expanded = "false" class = "navbar__toggle clean-btn" type = "button" > < svg width = "30" height = "30" viewBox = "0 0 30 30" aria-hidden = "true" > < path stroke = "currentColor" stroke-linecap = "round" stroke-miterlimit = "10" stroke-width = "2" d = "M4 7h22M4 15h22M4 23h22" > < / path > < / svg > < / button > < a class = "navbar__brand" href = "/" > < b class = "navbar__title text--truncate" > mf< / b > < / a > < div class = "navbar__item dropdown dropdown--hoverable" > < a href = "#" aria-haspopup = "true" aria-expanded = "false" role = "button" class = "navbar__link" > Additional FI MU materials< / a > < ul class = "dropdown__menu" > < li > < a aria-current = "page" class = "dropdown__link dropdown__link--active" href = "/algorithms/" > Algorithms< / a > < / li > < li > < a class = "dropdown__link" href = "/c/" > C< / a > < / li > < li > < a class = "dropdown__link" href = "/cpp/" > C++< / a > < / li > < / ul > < / div > < a class = "navbar__item navbar__link" href = "/contributions/" > Contributions< / a > < a class = "navbar__item navbar__link" href = "/talks/" > Talks< / a > < / div > < div class = "navbar__items navbar__items--right" > < a class = "navbar__item navbar__link" href = "/blog/" > Blog< / a > < div class = "toggle_vylO colorModeToggle_DEke" > < button class = "clean-btn toggleButton_gllP toggleButtonDisabled_aARS" type = "button" disabled = "" title = "Switch between dark and light mode (currently light mode)" aria-label = "Switch between dark and light mode (currently light mode)" aria-live = "polite" > < svg viewBox = "0 0 24 24" width = "24" height = "24" class = "lightToggleIcon_pyhR" > < path fill = "currentColor" d = "M12,9c1.65,0,3,1.35,3,3s-1.35,3-3,3s-3-1.35-3-3S10.35,9,12,9 M12,7c-2.76,0-5,2.24-5,5s2.24,5,5,5s5-2.24,5-5 S14.76,7,12,7L12,7z M2,13l2,0c0.55,0,1-0.45,1-1s-0.45-1-1-1l-2,0c-0.55,0-1,0.45-1,1S1.45,13,2,13z M20,13l2,0c0.55,0,1-0.45,1-1 s-0.45-1-1-1l-2,0c-0.55,0-1,0.45-1,1S19.45,13,20,13z M11,2v2c0,0.55,0.45,1,1,1s1-0.45,1-1V2c0-0.55-0.45-1-1-1S11,1.45,11,2z M11,20v2c0,0.55,0.45,1,1,1s1-0.45,1-1v-2c0-0.55-0.45-1-1-1C11.45,19,11,19.45,11,20z M5.99,4.58c-0.39-0.39-1.03-0.39-1.41,0 c-0.39,0.39-0.39,1.03,0,1.41l1.06,1.06c0.39,0.39,1.03,0.39,1.41,0s0.39-1.03,0-1.41L5.99,4.58z M18.36,16.95 c-0.39-0.39-1.03-0.39-1.41,0c-0.39,0.39-0.39,1.03,0,1.41l1.06,1.06c0.39,0.39,1.03,0.39,1.41,0c0.39-0.39,0.39-1.03,0-1.41 L18.36,16.95z M19.42,5.99c0.39-0.39,0.39-1.03,0-1.41c-0.39-0.39-1.03-0.39-1.41,0l-1.06,1.06c-0.39,0.39-0.39,1.03,0,1.41 s1.03,0.39,1.41,0L19.42,5.99z M7.05,18.36c0.39-0.39,0.39-1.03,0-1.41c-0.39-0.39-1.03-0.39-1.41,0l-1.06,1.06 c-0.39,0.39-0.39,1.03,0,1.41s1.03,0.39,1.41,0L7.05,18.36z" > < / path > < / svg > < svg viewBox = "0 0 24 24" width = "24" height = "24" class = "darkToggleIcon_wfgR" > < path fill = "currentColor" d = "M9.37,5.51C9.19,6.15,9.1,6.82,9.1,7.5c0,4.08,3.32,7.4,7.4,7.4c0.68,0,1.35-0.09,1.99-0.27C17.45,17.19,14.93,19,12,19 c-3.86,0-7-3.14-7-7C5,9.07,6.81,6.55,9.37,5.51z M12,3c-4.97,0-9,4.03-9,9s4.03,9,9,9s9-4.03,9-9c0-0.46-0.04-0.92-0.1-1.36 c-0.98,1.37-2.58,2.26-4.4,2.26c-2.98,0-5.4-2.42-5.4-5.4c0-1.81,0.89-3.42,2.26-4.4C12.92,3.04,12.46,3,12,3L12,3z" > < / path > < / svg > < / button > < / div > < div class = "navbarSearchContainer_Bca1" > < button type = "button" class = "DocSearch DocSearch-Button" aria-label = "Search" > < span class = "DocSearch-Button-Container" > < svg width = "20" height = "20" class = "DocSearch-Search-Icon" viewBox = "0 0 20 20" > < path d = "M14.386 14 . 386l4 . 0877 4 . 0877-4 . 0877-4 . 0877c-2 .
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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 >
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2024-01-03 15:14:53 +01:00
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