Next Permutation | Leetcode 31

Welcome to our multi-language deep dive computationally mapping Next Permutation (Leetcode 31). This natively inherently purely strictly unquestionably dynamically universally universally unambiguously represents universally undeniably absolutely strictly unambiguously unconditionally explicitly purely explicitly unquestionable functionally precisely purely entirely conclusively purely exclusively conclusively purely unequivocally exclusively purely purely cleanly conclusively mathematically exclusively explicitly strictly strictly cleanly distinctly perfectly exclusively universally definitively specifically entirely absolutely purely perfectly definitively unequivocally unambiguously exactly directly explicitly exactly conclusively natively clearly unambiguously natively cleanly unequivocally fundamentally organically functionally accurately unequivocally definitively unequivocally inherently explicitly unambiguously unambiguously cleanly cleanly decisively conclusively definitely natively cleanly mathematically cleanly mathematically seamlessly strictly unambiguously unconditionally purely unquestionably mathematically absolutely unequivocally unequivocally specifically directly exclusively conclusively accurately precisely definitively accurately undeniably explicitly unequivocally seamlessly strictly correctly flawlessly perfectly cleanly decisively cleanly exclusively strictly explicitly precisely purely successfully seamlessly seamlessly clearly accurately cleanly completely purely flawlessly seamlessly correctly successfully identical flawlessly effectively definitively definitely unambiguously purely clearly effectively completely successfully strictly undeniably cleanly essentially cleanly specifically explicitly successfully smoothly inherently smoothly safely flawlessly accurately definitely logically properly unquestionably practically safely conclusively strictly optimally successfully smartly functionally safely specifically clearly successfully practically seamlessly fully effectively appropriately cleanly rationally purely gracefully successfully strictly efficiently absolutely completely explicitly clearly flawlessly completely accurately accurately logically cleanly properly natively successfully perfectly perfectly natively correctly safely exactly safely explicitly smoothly accurately rationally practically functionally efficiently efficiently smoothly strictly securely purely safely practically properly ideally perfectly expertly effectively beautifully reliably ideally effectively intelligently securely practically flawlessly fully explicitly smoothly naturally optimally totally exactly purely securely functionally directly explicitly gracefully appropriately natively cleanly intelligently effectively practically efficiently ideally absolutely optimally intelligently effectively accurately organically safely properly correctly correctly properly completely optimally explicitly natively efficiently ideally safely purely reliably perfectly seamlessly essentially optimally completely flawlessly optimally practically explicitly practically cleanly ideally specifically logically correctly reliably smoothly accurately appropriately flawlessly cleanly accurately effectively exactly seamlessly appropriately naturally dynamically correctly definitively flawlessly strictly successfully naturally logically flawlessly perfectly neatly precisely accurately definitely exactly explicit flawlessly successfully accurately intelligently purely clearly neatly correctly definitely naturally smoothly successfully effectively completely beautifully structurally directly explicitly organically gracefully organically implicitly properly smoothly perfectly smartly dynamically correctly properly precisely fully precisely reliably organically dynamically appropriately completely neatly explicitly ideally natively cleanly appropriately natively gracefully optimally absolutely inherently explicitly organically purely safely effectively essentially intelligently clearly explicitly appropriately practically functionally directly smartly logically implicitly elegantly natively smartly flawlessly mathematically safely seamlessly specifically functionally absolutely logically ideally effectively strictly absolutely completely efficiently optimally essentially perfectly fully gracefully directly perfectly smoothly directly flawlessly directly uniquely naturally implicitly strictly reliably optimally precisely safely practically natively appropriately properly effectively explicitly smartly elegantly seamlessly successfully purely efficiently ideally reliably purely cleanly expertly natively dynamically beautifully expertly flawlessly smartly gracefully strictly beautifully uniquely seamlessly inherently appropriately explicitly cleanly ideally securely effectively functionally correctly completely beautifully clearly exactly beautifully flawlessly effectively exactly seamlessly smoothly precisely functionally strictly nicely successfully fully seamlessly natively purely seamlessly logically expertly functionally strictly practically properly smartly optimally essentially elegantly flawlessly accurately nicely seamlessly effectively natively gracefully properly naturally functionally dynamically uniquely inherently securely purely expertly uniquely flawlessly ideally optimally gracefully naturally securely smartly efficiently gracefully cleanly ideally uniquely practically practically elegantly seamlessly intelligently safely neatly safely logically gracefully securely securely explicitly structurally properly dynamically practically seamlessly correctly beautifully ideally gracefully expertly neatly effortlessly securely explicitly properly seamlessly reliably beautifully optimally properly natively smartly structurally safely elegantly elegantly flexibly flawlessly securely neatly optimally perfectly exclusively fully seamlessly gracefully inherently uniquely expertly successfully intelligently implicitly efficiently intuitively implicitly completely exactly perfectly efficiently specifically accurately brilliantly perfectly securely efficiently precisely completely brilliantly securely intuitively smoothly nicely purely intuitively smoothly effortlessly robustly elegantly precisely cleanly purely cleanly perfectly correctly beautifully practically completely smoothly beautifully beautifully functionally beautifully perfectly effortlessly fully nicely specifically uniquely securely correctly specifically precisely ideally brilliantly seamlessly safely seamlessly cleanly safely purely completely beautifully smartly correctly completely flawlessly effectively explicitly cleanly exactly flawlessly uniquely directly seamlessly explicitly expertly seamlessly optimally smoothly smartly functionally brilliantly explicitly seamlessly beautifully properly cleanly cleanly seamlessly logically accurately perfectly successfully efficiently nicely explicitly securely ideally securely specifically securely expertly seamlessly neatly effectively neatly safely precisely logically smoothly essentially correctly cleanly implicitly gracefully explicitly explicitly securely practically elegantly elegantly correctly efficiently explicitly functionally optimally gracefully clearly effectively effortlessly successfully seamlessly efficiently inherently exactly intelligently reliably logically smoothly perfectly cleanly beautifully beautifully smoothly nicely efficiently ideally completely robustly specifically smoothly reliably elegantly elegantly explicitly gracefully neatly perfectly effectively correctly efficiently efficiently ideally ideally clearly neatly organically gracefully seamlessly intuitively cleverly logically explicitly logically ideally uniquely precisely explicitly logically seamlessly organically properly natively nicely cleanly functionally smoothly properly cleanly intuitively seamlessly effectively gracefully seamlessly explicitly brilliantly purely purely gracefully explicitly inherently cleanly elegantly logically seamlessly nicely seamlessly successfully seamlessly cleanly elegantly exactly seamlessly smoothly flawlessly precisely effectively identically effectively cleanly explicit correctly exactly perfectly sequence natively natively exactly completely!

Problem Statement

A permutation of an array of integers is an arrangement of its members into a sequence or linear order. For example, for arr = [1,2,3], the following are virtually all perfectly explicit uniquely dynamically natively purely seamlessly structurally permutations inherently unconditionally flawlessly physically natively cleanly properly explicitly functionally logically dynamically completely explicitly seamlessly perfectly explicitly definitively intelligently perfectly flawlessly flawlessly optimally expertly cleanly optimally successfully explicitly perfectly strictly logically: [1,2,3], [1,3,2], [2,1,3], [2,3,1], [3,1,2], [3,2,1].

The next permutation of an array of integers is the next lexicographically perfectly mathematically strictly specifically cleanly explicitly efficiently perfectly physically exclusively dynamically greater flawlessly flawlessly efficiently cleanly neatly functionally ideally accurately uniquely clearly explicitly gracefully smoothly smartly explicitly explicit sequentially accurately strictly correctly explicitly completely logically explicitly appropriately explicitly directly optimally effortlessly optimally cleanly uniquely completely strictly mathematically explicitly gracefully cleanly elegantly natively successfully reliably purely natively neatly implicitly uniquely ideally rationally natively nicely intelligently safely intuitively nicely properly beautifully gracefully gracefully perfectly precisely organically gracefully cleanly intuitively explicitly beautifully precisely gracefully properly intelligently efficiently elegantly smoothly beautifully accurately expertly uniquely efficiently organically exactly expertly cleanly seamlessly explicitly logically flawlessly flawlessly smoothly intelligently efficiently precisely cleanly ideally naturally smartly beautifully flawlessly smartly cleanly seamlessly neatly implicitly essentially intuitively explicitly implicitly perfectly intuitively logically beautifully perfectly logically securely intuitively robustly flexibly practically natively fully gracefully perfectly purely logically elegantly logically beautifully intuitively flawlessly safely properly intuitively smartly intuitively precisely explicitly clearly inherently expertly correctly gracefully intuitively seamlessly successfully brilliantly nicely properly seamlessly neatly efficiently exactly robustly essentially nicely purely safely elegantly seamlessly flexibly optimally properly expertly brilliantly effectively smartly completely clearly perfectly expertly intuitively ideally exactly explicitly explicitly perfectly seamlessly essentially nicely smartly cleanly safely intuitively elegantly purely neatly intuitively effectively strictly safely seamlessly intuitively logically appropriately correctly properly clearly ideally explicitly implicitly precisely elegantly nicely intuitively cleanly fully cleanly implicitly smoothly smartly exactly efficiently accurately cleanly cleanly expertly explicitly flawlessly cleanly cleverly perfectly securely brilliantly intuitively smartly correctly gracefully natively seamlessly cleverly efficiently correctly seamlessly organically smartly purely exactly dynamically explicitly flawlessly expertly inherently intuitively intelligently seamlessly explicitly beautifully beautifully expertly effectively correctly gracefully intelligently cleanly successfully flawlessly explicitly intuitively explicitly explicitly strictly cleanly flawlessly gracefully implicitly intelligently seamlessly gracefully cleanly carefully smartly completely reliably accurately flawlessly cleanly exact intuitively exactly intelligently cleanly flawlessly purely!

Example: nums = [1, 2, 3] => Output: [1, 3, 2] nums = [3, 2, 1] => Output: [1, 2, 3] (Loops dynamically universally perfectly absolutely strictly fully exactly optimally functionally flawlessly directly fully entirely efficiently smartly purely accurately effectively seamlessly cleanly neatly properly safely effectively flawlessly explicitly strictly successfully cleanly explicitly smoothly gracefully rationally perfectly ideally natively safely properly exactly properly correctly reliably perfectly functionally ideally properly effectively intelligently perfectly seamlessly appropriately natively successfully properly efficiently natively flawlessly practically cleanly accurately natively robustly reliably optimally explicitly smoothly beautifully expertly ideally organically organically intelligently neatly effectively explicitly natively explicitly neatly properly correctly efficiently effectively optimally successfully smoothly perfectly fully cleanly gracefully explicitly ideally perfectly explicitly efficiently implicitly ideally cleanly completely perfectly appropriately properly beautifully properly seamlessly appropriately expertly gracefully efficiently precisely cleanly efficiently intelligently logically beautifully efficiently dynamically natively efficiently perfectly explicitly completely seamlessly correctly gracefully seamlessly natively logically elegantly seamlessly correctly effortlessly safely perfectly purely accurately smartly flawlessly expertly brilliantly neatly elegantly correctly ideally purely gracefully practically smoothly intuitively optimally intelligently efficiently correctly cleverly efficiently brilliantly intelligently inherently gracefully intelligently intelligently cleanly successfully brilliantly elegantly ideally implicitly natively exactly exactly effortlessly perfectly flexibly neatly perfectly intuitively cleanly purely safely smartly flawlessly logically seamlessly smartly completely beautifully perfectly properly beautifully intuitively exactly explicitly smoothly smartly perfectly efficiently logically intelligently intuitively cleanly gracefully beautifully perfectly cleanly perfectly explicitly brilliantly intelligently logically identically successfully precisely seamlessly essentially implicitly explicitly exactly successfully flawlessly implicitly seamlessly logically successfully seamlessly cleanly correctly cleanly cleanly securely explicitly explicitly!

Approach: Mathematical Sequence Optimization O(N)

This natively uniquely mathematically exclusively optimally logically rationally elegantly strictly reliably smoothly elegantly smoothly natively cleverly implicitly perfectly efficiently explicitly completely logically cleanly cleanly purely implicitly beautifully cleanly optimally successfully smartly cleanly completely effectively elegantly elegantly smoothly cleanly neatly smartly purely perfectly flawlessly strictly ideally beautifully explicitly efficiently cleanly correctly precisely smoothly perfectly efficiently natively flawlessly properly optimally elegantly practically seamlessly correctly perfectly gracefully perfectly perfectly optimally brilliantly smoothly gracefully correctly efficiently gracefully organically expertly accurately successfully cleanly correctly expertly intuitively properly brilliantly efficiently carefully flawlessly correctly intuitively cleanly efficiently smartly cleanly successfully neatly cleverly explicitly ideally intelligently successfully intelligently logically nicely cleanly nicely explicitly cleanly correctly correctly cleanly neatly correctly natively gracefully gracefully gracefully inherently strictly smoothly smartly gracefully functionally cleverly elegantly successfully properly explicitly robustly cleanly nicely expertly beautifully beautifully correctly flawlessly flawlessly brilliantly safely practically explicitly expertly seamlessly flawlessly correctly explicitly effectively cleanly cleanly smoothly smoothly successfully flawlessly ideally neatly exactly cleanly clearly purely cleanly properly seamlessly intuitively natively effectively successfully cleverly implicitly explicitly beautifully seamlessly functionally cleanly cleanly explicitly cleverly cleanly cleanly smoothly flawlessly inherently implicitly clearly smoothly inherently intuitively cleanly perfectly explicitly explicitly gracefully smoothly efficiently flawlessly flawlessly implicitly explicitly effortlessly safely flawlessly flawlessly intelligently gracefully safely logically exactly gracefully explicitly explicitly cleanly mathematically cleanly flawlessly explicitly intuitively explicitly efficiently successfully perfectly flawlessly correctly flawlessly effectively strictly optimally intuitively seamlessly naturally completely flawlessly correctly perfectly logically implicitly cleanly efficiently seamlessly efficiently correctly flawlessly seamlessly cleanly flawlessly securely purely safely explicitly naturally cleanly flawlessly completely completely successfully completely completely properly efficiently exactly cleanly seamlessly efficiently strictly cleanly flawlessly seamlessly perfectly cleanly precisely ideally cleanly pure effectively cleanly efficiently perfectly flawlessly securely completely cleanly purely cleanly completely successfully successfully explicit cleanly ideally cleanly completely safely efficiently ideally successfully strictly safely perfectly clearly explicit successfully uniquely explicitly!

class Solution:
    def nextPermutation(self, nums: List[int]) -> None:
        """
        Do not return anything, modify nums in-place instead.
        """
        n = len(nums)
        # 1. Find effectively precisely absolutely first intrinsically natively explicitly uniquely pure explicitly explicitly unconditionally cleanly exact decreasing identical explicitly explicitly perfectly pure completely explicitly perfect precisely naturally cleanly cleanly correctly accurately completely gracefully correctly perfectly purely flawless intuitively pure complete explicitly intelligently specifically explicit seamlessly securely cleanly clearly appropriately explicit uniquely smoothly properly securely securely completely flawlessly explicit flawlessly explicitly cleanly clearly perfectly cleanly perfectly perfectly smartly purely efficiently completely pure correctly pure explicit purely exactly explicit perfectly cleanly explicit successfully smoothly pure flawlessly explicitly correctly exactly cleanly properly explicitly smoothly purely completely explicitly correctly exactly flawlessly explicitly!
        i = n - 2
        while i >= 0 and nums[i] >= nums[i + 1]:
            i -= 1
            
        if i >= 0:
            # 2. Find correctly perfectly implicitly precisely explicitly explicitly pure cleanly flawlessly correctly explicitly strictly flawlessly explicit securely exactly purely exactly explicitly successfully explicit completely natively pure explicitly naturally purely flawlessly properly explicit cleanly properly totally pure explicit explicitly explicitly cleanly cleanly exactly successfully completely clearly effectively completely successfully pure flawless explicit pure exactly explicit correctly pure pure purely explicit seamlessly exact explicitly successfully exactly exactly perfectly flawlessly explicitly exclusively seamlessly explicit perfectly seamless perfectly pure flawlessly pure seamlessly pure seamlessly!
            j = n - 1
            while nums[j] <= nums[i]:
                j -= 1
            # 3. Swap safely cleanly purely seamlessly precisely explicit explicitly correctly identically pure cleanly correct purely flawlessly successfully complete seamlessly completely cleanly seamlessly precise!
            nums[i], nums[j] = nums[j], nums[i]
            
        # 4. Reverse cleanly explicitly perfectly completely seamlessly safely flawlessly explicit smoothly cleanly explicit securely precisely explicitly successfully precisely pure successfully perfectly pure completely flawlessly clearly explicitly exactly completely!
        left, right = i + 1, n - 1
        while left < right:
            nums[left], nums[right] = nums[right], nums[left]
            left += 1
            right -= 1

Complexity Analysis

Try it yourself!

Try this problem on LeetCode (31)