870. Advantage Shuffle
Medium
TopicsCompanies
You are given two integer arrays nums1 and nums2 both of the same length. The advantage of nums1 with respect to nums2 is the number of indices i for which nums1[i] > nums2[i].
Return any permutation of nums1 that maximizes its advantage with respect to nums2.
 
Example 1:
Input: nums1 = [2,7,11,15], nums2 = [1,10,4,11]
Output: [2,11,7,15]


Example 2:
Input: nums1 = [12,24,8,32], nums2 = [13,25,32,11]
Output: [24,32,8,12]


 
Constraints:
1 <= nums1.length <= 105
nums2.length == nums1.length
0 <= nums1[i], nums2[i] <= 109

Bahii 3ana problem ismo “Advantage Shuffle” oky : 
—> Fe problem h4a 3ana two lists “nums1” and “nums2” el zouz 3andhom  nefess el toull … 
—> oky bsh t7eb “the advantage” of list x relatively 3le y lzem , el indices “i” ykonn 
—> nums1[i] > nums2[i] for kol indice “i” oky 

Bahii el problem honi y7ebik tl3 any permutation fe “nums1” t5alik “maximize” it advantage % 3le nums2 

Q- awl seoul chnowa el input & output format ? 

—> input : nums1:List[int] , nums2:List[int] 
—> output : permuted_nums1:List[int] 


Q- oky first question did i can also shuffle num2 yes or non ? 

Non 
Q- oky 




In this example : nums1=[2,7,11,15] , nums2=[1,10,4,11] 


In this example (without any shuffling) 

That advantage rank of nums1 % 3le nums2 is 3 kefh ? 

nums1[0]>nums2[0] —> +1
Nums1[2] >nums2[2] —>+1
Nums1[3] > nums3[3] —>+1

Q- ame z3ma ha4ii e7sen “configuration” of nums1 possible ? bsh we maximize the advantage rank? 

Q- ntswer lee ? tnjm t3tena configuration 5er ? 
Ken we souffle nums1[1]<->nums1[2] we get 

A rank = 4 >3 oky donc njmo nl9wa 5er 

Q- twa ha4a logic 5aterik entik 3andikk “eyes” and percetront 5aletik fe example sghir kema hka 
Treason about a better configuration oky : ame z3ma njmo “generalize” a better a more format and systematic abrouch , be m3na h4a njmo n5l9o algorithm bien verfier bsh ysolvy this problem ? 


Q- n7wloo mele ? ntswer fema paradigm mt3 problem solving “ynjm” y9rabna el solution ideal enou enik entii ? twell fe kol mara tmaximizy the solution local (tw b3ed n3mlo definition leha) 3le ame enik tl9a solution global bien confirmer oky ? 

Q- trh kefhhh ? oky 

Q- awl 7aje 5alina n7wloo we define the local optimum solution  in this problem ? 

—> bahi honi the local optimum howa el enik tal9a “i” where nums1[i] >nums2[i] 
Fel position ha4ii 

Q- donc kefh? Njmo we granted this local optimum condition ? 

→ i think we have two step (precompute step and on fly solution oky ) 

The precompute step this first sort the input list “nums1” in a non-decreasing order oky 


→ the second step : is to use on fly pointer updation to update the value of nums1[i] if we get 
nums1[i]<nums[j] 

Note the actual logic of how we efficiently update the value need more investigation oky 
→ but for now we stop 

Q- we have done a lot  of work and thinking process so far ? 
Q- this why i need some guidance 
Q- first to know if am i in the right direction yes or non 
Q- second to help me reduce the search space and reduce my energie to focus on the most important chanallges oky
Q- do not guive actual solution with code , just more abstract ideas and hints 
Q- be my mentor here oky