From 108cbbb9f2cf1653087a029b8f16db8c6497c9db Mon Sep 17 00:00:00 2001 From: Alonza0314 Date: Fri, 25 Apr 2025 19:47:07 +0800 Subject: [PATCH 1/3] feat: 435 --- Hard/2742 Painting the Walls.md | 18 ++++++++ Hard/44 Wildcard Matching.md | 18 ++++++++ Medium/435 Non-overlapping Intervals.md | 53 ++++++++++++++++++++++++ README.md | 1 + Week9/435 AC.png | Bin 0 -> 44505 bytes Week9/435 Non-overlapping Intervals.md | 53 ++++++++++++++++++++++++ 6 files changed, 143 insertions(+) create mode 100644 Hard/2742 Painting the Walls.md create mode 100644 Hard/44 Wildcard Matching.md create mode 100644 Medium/435 Non-overlapping Intervals.md create mode 100644 Week9/435 AC.png create mode 100644 Week9/435 Non-overlapping Intervals.md diff --git a/Hard/2742 Painting the Walls.md b/Hard/2742 Painting the Walls.md new file mode 100644 index 0000000..26e3c2b --- /dev/null +++ b/Hard/2742 Painting the Walls.md @@ -0,0 +1,18 @@ +# 2742. Painting the Walls + +## Intuition + +## Approach + +## Complexity + +- Time complexity: +- Space complexity: + +## Keywords + +## Code + +```go + +``` diff --git a/Hard/44 Wildcard Matching.md b/Hard/44 Wildcard Matching.md new file mode 100644 index 0000000..df59255 --- /dev/null +++ b/Hard/44 Wildcard Matching.md @@ -0,0 +1,18 @@ +# 44. Wildcard Matching + +## Intuition + +## Approach + +## Complexity + +- Time complexity: +- Space complexity: + +## Keywords + +## Code + +```go + +``` diff --git a/Medium/435 Non-overlapping Intervals.md b/Medium/435 Non-overlapping Intervals.md new file mode 100644 index 0000000..d73cc2b --- /dev/null +++ b/Medium/435 Non-overlapping Intervals.md @@ -0,0 +1,53 @@ +# 435. Non-overlapping Intervals + +## Intuition + +To minimize the number of intervals that need to be removed to make the remaining intervals non-overlapping, we should: + +1. Sort the intervals by their end time +2. Keep track of the current end time +3. Remove intervals that overlap with the current end time + +## Approach + +1. Sort all intervals based on their end time in ascending order +2. Initialize variables: + - `end`: tracks the end time of the last valid interval (initialized to -50001) + - `ret`: counts the number of intervals that need to be removed +3. Iterate through the sorted intervals: + - If current interval's start time is greater than or equal to previous end time: + - Update end time to current interval's end time + - Otherwise: + - Increment the removal counter (ret) +4. Return the total number of intervals that need to be removed + +## Complexity + +- Time complexity: O(nlogn) +- Space complexity: O(1) + +## Keywords + +- Array +- Sorting +- Greedy +- Interval Scheduling + +## Code + +```go +func eraseOverlapIntervals(intervals [][]int) int { + sort.Slice(intervals, func(i, j int) bool { + return intervals[i][1] < intervals[j][1] + }) + end, ret := -50001, 0 + for _, interval := range intervals { + if end <= interval[0] { + end = interval[1] + } else { + ret += 1 + } + } + return ret +} +``` diff --git a/README.md b/README.md index fa192e2..8b9830e 100644 --- a/README.md +++ b/README.md @@ -25,6 +25,7 @@ | 236 | Lowest Common Ancestor of a Binary Tree | [go](/Medium/236%20Lowest%20Common%20Ancestor%20of%20a%20Binary%20Tree.md) | M | | 239 | Sliding Window Maximum | [go](/Hard/239%20Sliding%20Window%20Maximum.md) | H | | 322 | Coin Change | [go](/Medium/322%20Coin%20Change.md) | M | +| 435 | Non-overlapping Interval | [go](/Medium/435%20Non-overlapping%20Intervals.md) | M | | 460 | LFU Cache | [go](/Hard/460%20LFU%20Cache.md) | H | | 592 | Fraction Addition and Subtraction | [go](/Medium/592%20Fraction%20Addition%20and%20Subtraction.md) | M | | 752 | Open the Lock | [go](/Medium/752%20Open%20the%20Lock.md) | M | diff --git a/Week9/435 AC.png b/Week9/435 AC.png new file mode 100644 index 0000000000000000000000000000000000000000..7011758d80c788385d31ba82902ac0fbfafbe6b6 GIT binary patch literal 44505 zcmeFZ1y`I)(>06*cS3L{0fGz`bZ~cfcXtSbySuw35Zv7zf)m^|xVytUIp^H=e1G9% zty$C4Qhjw*cVFGRb`d5oD~5uIj|c$)fg&L;tOx-CRR#e8*#Zv>&KWCsPYVHoSYRO} zBrhQ(L@MuSXKG<>0s$c&mXrb~pRo90@a(Q2B=7@2S01|n7i4}QvAZ3cASP)dx*$~O zJEREOs&Ap8zU2GgLjAF0>q);Ye1I%a$1zq=nCtgP8F}(0J3h_0TWe!++I!y3ahl-S z8+SF6g&>t;d3b)Wj_<3SEswsnBN-JQowqdriBAn_p^wIzT87NaL;VwtlznhkI~NIY&7VR6Zj}N9!c$BV;$W(C@9^;kqvOh&gqv! zz#Mc^Z0mCuH7x>FqCb%0+`@*PF@_yru}*Z6*h6CH`?GcliHCyxViV{yE&AxAIyJjw z#NR6({6yN8#{(uG7?uR31$}{FIdeI6O0`b&3W?Rc^G~Kl^YvmPZ=f@ORe;EBLi1I= 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Non-overlapping Intervals + +## Intuition + +To minimize the number of intervals that need to be removed to make the remaining intervals non-overlapping, we should: + +1. Sort the intervals by their end time +2. Keep track of the current end time +3. Remove intervals that overlap with the current end time + +## Approach + +1. Sort all intervals based on their end time in ascending order +2. Initialize variables: + - `end`: tracks the end time of the last valid interval (initialized to -50001) + - `ret`: counts the number of intervals that need to be removed +3. Iterate through the sorted intervals: + - If current interval's start time is greater than or equal to previous end time: + - Update end time to current interval's end time + - Otherwise: + - Increment the removal counter (ret) +4. Return the total number of intervals that need to be removed + +## Complexity + +- Time complexity: O(nlogn) +- Space complexity: O(1) + +## Keywords + +- Array +- Sorting +- Greedy +- Interval Scheduling + +## Code + +```go +func eraseOverlapIntervals(intervals [][]int) int { + sort.Slice(intervals, func(i, j int) bool { + return intervals[i][1] < intervals[j][1] + }) + end, ret := -50001, 0 + for _, interval := range intervals { + if end <= interval[0] { + end = interval[1] + } else { + ret += 1 + } + } + return ret +} +``` From 5c603529f9dff1878a0b14bfe75a3d57cfb8a77f Mon Sep 17 00:00:00 2001 From: Alonza0314 Date: Fri, 25 Apr 2025 22:05:58 +0800 Subject: [PATCH 2/3] feat: 44 --- Hard/44 Wildcard Matching.md | 40 ++++++++++++++++++++++++-- README.md | 1 + Week9/44 AC.png | Bin 0 -> 122561 bytes Week9/44 Wildcard Matching.md | 52 ++++++++++++++++++++++++++++++++++ 4 files changed, 90 insertions(+), 3 deletions(-) create mode 100644 Week9/44 AC.png create mode 100644 Week9/44 Wildcard Matching.md diff --git a/Hard/44 Wildcard Matching.md b/Hard/44 Wildcard Matching.md index df59255..4b3ccf5 100644 --- a/Hard/44 Wildcard Matching.md +++ b/Hard/44 Wildcard Matching.md @@ -2,17 +2,51 @@ ## Intuition +This problem can be solved using a greedy approach with two pointers. The key insight is to handle the '*' character differently from other characters. When we encounter a '*', we keep track of its position and the position in the string where we matched it, so we can try different matching lengths for the '*' if needed. + ## Approach +1. Use two pointers `ss` and `pp` to track positions in string `s` and pattern `p` respectively +2. Keep track of the latest '*' position (`latestStar`) and the position in string where we started matching this '*' (`latestStarMatch`) +3. For each character in string s: + - If current characters match (same char or '?'), move both pointers forward + - If we see a '*', record its position and current string position, then move pattern pointer + - If characters don't match but we have a previous '*', backtrack to try matching one more character with that '*' + - If none of above works, return false +4. After processing string s, check if remaining pattern only contains '*' + ## Complexity -- Time complexity: -- Space complexity: +- Time complexity: O(S*P) +- Space complexity: O(1) ## Keywords +- Two Pointers +- Greedy Algorithm +- Pattern Matching + ## Code ```go - +func isMatch(s string, p string) bool { + ss, pp, latestStar, latestStarMatch := 0, 0, -1, 0 + + for ss < len(s) { + if pp < len(p) && (p[pp] == '?' || p[pp] == s[ss]) { + ss, pp = ss+1, pp+1 + } else if pp < len(p) && p[pp] == '*' { + latestStar, latestStarMatch, pp = pp, ss, pp+1 + } else if latestStar != -1 { + pp, latestStarMatch, ss = latestStar+1, latestStarMatch+1, latestStarMatch+1 + } else { + return false + } + } + + for pp < len(p) && p[pp] == '*' { + pp += 1 + } + return pp == len(p) +} ``` diff --git a/README.md b/README.md index 8b9830e..cdd858a 100644 --- a/README.md +++ b/README.md @@ -13,6 +13,7 @@ | 23 | Merge k Sorted Lists | [go](/Hard/23%20Merge%20k%20Sorted%20Lists.md) | H | | 24 | Swap Nodes in Pairs | [go](/Medium/24%20Swap%20Nodes%20in%20Pairs.md) | M | | 25 | Reverse Nodes in k-Group | [go](/Hard/25%20Reverse%20Nodes%20in%20k-Group.md) | H | +| 44 | Wildcard Matching | [go](/Hard/44%20Wildcard%20Matching.md) | H | | 45 | Jump Game II | [go](/Medium/45%20Jump%20Game%20II.md) | M | | 46 | Permutations | [go](/Medium/46%20Permutations.md) | M | | 50 | Pow(x, n) | [go](/Medium/50%20Pow(x,%20n).md) | M | diff --git a/Week9/44 AC.png b/Week9/44 AC.png new file mode 100644 index 0000000000000000000000000000000000000000..98c04f54319878af3d6ca5d59bf7acb9eaef0c42 GIT binary patch literal 122561 zcmbTd1yo#3)-HS+cL?qp+}#OI5;VBGySp@yKuEAaf_u>5?$E&+!M=0NZ1<@Bqb-OM}+RZsf@PMQW^-(Fo?K!ZR=yoj~~x~pA)~2uZ|cl zBD_bXzFm$#KG~Cs1xpYC&q>$$j3oq#)@1;wmf@!+0Lc3+n5|EpU_K8{B4$82m1Z7` z-(X=@N!$qH$-dDg>|qC(N?e83F#yd<$t>f6Q84MZ2OLpUKR6n|-t&EshsU`uPLZ@D ze2^@T;w6dQiyg~*WnL%U#O^`jzO&{5C1$mF&Y?A>rx(Mgo$P`NJow#c0$-HeY|A{y zs+=2Z&btb95!WTm^eypw(r`j>PAngBzJ6AEWgE6c#s6!o)^rq%)uSS&Vk*=VfrE_h 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Wildcard Matching + +## Intuition + +This problem can be solved using a greedy approach with two pointers. The key insight is to handle the '*' character differently from other characters. When we encounter a '*', we keep track of its position and the position in the string where we matched it, so we can try different matching lengths for the '*' if needed. + +## Approach + +1. Use two pointers `ss` and `pp` to track positions in string `s` and pattern `p` respectively +2. Keep track of the latest '*' position (`latestStar`) and the position in string where we started matching this '*' (`latestStarMatch`) +3. For each character in string s: + - If current characters match (same char or '?'), move both pointers forward + - If we see a '*', record its position and current string position, then move pattern pointer + - If characters don't match but we have a previous '*', backtrack to try matching one more character with that '*' + - If none of above works, return false +4. After processing string s, check if remaining pattern only contains '*' + +## Complexity + +- Time complexity: O(S*P) +- Space complexity: O(1) + +## Keywords + +- Two Pointers +- Greedy Algorithm +- Pattern Matching + +## Code + +```go +func isMatch(s string, p string) bool { + ss, pp, latestStar, latestStarMatch := 0, 0, -1, 0 + + for ss < len(s) { + if pp < len(p) && (p[pp] == '?' || p[pp] == s[ss]) { + ss, pp = ss+1, pp+1 + } else if pp < len(p) && p[pp] == '*' { + latestStar, latestStarMatch, pp = pp, ss, pp+1 + } else if latestStar != -1 { + pp, latestStarMatch, ss = latestStar+1, latestStarMatch+1, latestStarMatch+1 + } else { + return false + } + } + + for pp < len(p) && p[pp] == '*' { + pp += 1 + } + return pp == len(p) +} +``` From 4148d7ed2bd7575ce0f465482e75c81b93bd8563 Mon Sep 17 00:00:00 2001 From: Alonza0314 Date: Fri, 25 Apr 2025 22:44:07 +0800 Subject: [PATCH 3/3] feat: 2742 --- Hard/2742 Painting the Walls.md | 38 +++++++++++++++++++++-- README.md | 1 + Week9/2742 AC.png | Bin 0 -> 128064 bytes Week9/2742 Painting the Walls.md | 50 +++++++++++++++++++++++++++++++ 4 files changed, 86 insertions(+), 3 deletions(-) create mode 100644 Week9/2742 AC.png create mode 100644 Week9/2742 Painting the Walls.md diff --git a/Hard/2742 Painting the Walls.md b/Hard/2742 Painting the Walls.md index 26e3c2b..0dad8e3 100644 --- a/Hard/2742 Painting the Walls.md +++ b/Hard/2742 Painting the Walls.md @@ -2,17 +2,49 @@ ## Intuition +The key insight is that while a paid painter is painting one wall, the free painter can paint other walls during that time. We can use this to optimize our solution by considering the trade-off between cost and time. + ## Approach +1. We use dynamic programming where `dp[i]` represents the minimum cost to paint `i` walls +2. Initialize dp array with maximum values except dp[0] = 0 +3. For each wall: + - We consider using the paid painter for this wall + - While paid painter works on current wall, free painter can paint `time[i]` walls + - We update dp[k] where k is min(total_walls, current_walls + 1 + time[i]) + - The minimum cost would be either existing cost or cost of painting current wall plus previous state +4. The final answer is stored in dp[len(cost)] + ## Complexity -- Time complexity: -- Space complexity: +- Time complexity: O(n^2) +- Space complexity: O(n) ## Keywords +- Dynamic Programming +- Array +- Optimization +- Minimum Cost +- Two Painters Problem + ## Code ```go - +func paintWalls(cost []int, time []int) int { + dp := make([]int, len(cost)+1) + for i := range dp { + dp[i] = math.MaxInt32 + } + dp[0] = 0 + + for i := range cost { + for j := len(cost)-1; j >= 0; j -= 1 { + k := min(len(cost), j+1+time[i]) + dp[k] = min(dp[k], dp[j]+cost[i]) + } + } + + return dp[len(cost)] +} ``` diff --git a/README.md b/README.md index cdd858a..28296f7 100644 --- a/README.md +++ b/README.md @@ -40,4 +40,5 @@ | 948 | Bag of Tokens | [go](/Medium/948%20Bag%20Of%20Tokens.md) | M | | 1395 | Count Number of Trams | [go](/Medium/1395%20Count%20Number%20of%20Teams.md) | M | | 2366 | Mimimum Replacements to Sort the Array | [go](/Hard/2366%20Minimum%20Replacements%20to%20Sort%20the%20Array.md) | H | +| 2742 | Paiting the Walls | [go](/Hard/2742%20Painting%20the%20Walls.md) | H | | 2932 | Build A Matrix with Conditions | [go](/Hard/2932%20Build%20A%20Matrix%20With%20Conditions.md) | H | diff --git a/Week9/2742 AC.png b/Week9/2742 AC.png new file mode 100644 index 0000000000000000000000000000000000000000..8aa983a3b4680e27234f5e720dfda09f158649c0 GIT binary patch literal 128064 zcmagF1ymf%);5eg!4f>UySp=3fB?bW-QC?SI0T2mT?d!o4hilq!7aG`lXK21>%ISX zZ?Dx;HKkouyLavV)YFlQpQTWd@R1-OAW&tb0bd{>V67k^po0+Lz$s^u$0ZODD8iQF z;)*ij;v|Yr_GXqgrVtR)ktyo%8pezn#3ocnC7K5h6>?re*O5a0b{wH~`NAv$fy5C2i94{hAN}p;PYj6V9}nlZXH>t#+$KcJ zZ>C<~tndZ=gm54z@V7bigt&3G#UVCTbrM=2Ab`o-xmqNNMvDQdxKs$2VziU-J9M<4 zlXiUBa_=>;`xzl<${cvMQ6N-mL~`_oCj#)xU(opxJ)uY;tXv{|ot>{e&`ZQ@pnU=8 zvNw2^!oN(O<=JgDlKMt)2d`R(X#~q`x>sA^C}n1S4>+u7kJV3uO*?)PlL?ay&qVd6K==r3@A#~~+P)=<(K28IZeqsY^TceAGLZmwG zLveJl@rPH_)(7$H0WNc-#RMduJQ8*x6+Pn0(6NL)w1XhsE#!1WalYqgM+|Z2txM?O zUFV^k%TPo|q--=`P=LmRMi$ve^;tvy_wwVz>@5krm!1Wut2u>#Hqz|h!r ze{?;M;m<3d3sVxPS`m^wXha)J5;PM?QEz>5;*P{S80dHC!6@J1-yxY<01_*u5aJy3 z5S|e+h_^B;nZzJToU=4aV{Puv4efSU``6D@vY!@AAiS%^iOe?Huv?>{LZA!`S zr8@HY>8nh-l&h3$W^g?9A^kIce?-;r1RffRN}54tBX%SB@M#ab63V!{Ik`cLJo+Yd zcdhpicM(K>6o9@R|F5` zBU{=-El-RK?Q8&ju!FK1$bA7XN`e9i^oU2H>N#QG;=>6pGobng|4Ecr15PdY#sF&( z$t_556T$*w=)0xEI~^$X@2Czq)j32LP``uSH`#+oC_>#_EXh#ji+nPe*r13gzRL2U+DymVV$v zGR>3YAdHow2IBpC--y5{nwDq%)5?WgD=tTpIiLFn({EV507yB!nI1V-_?W=DS{epe z*`fYLn@W_5@8xxTm5A#H)*3kT;lBNmJg6l*?;K#mw-I@8a)YJ@adwU`vpodYgY^5_ zFa4eg0za`(EMj#a*!1#g6X(C>3v{^7?Mhn*L29OH@a0 zRb*9GK;nc%i0oawG=*=X;7Is;iS2kK>7qi{!nMMr!iqwoX?RLgN-RqAB7>s$l=)xk zzJyLQ6=8i+PsyS4rK(6`9MRjQVT%*U?nv&4T?KT>oss$%TPRl23MG4d!Zsx`Wi0yY zloB)6o@E2)_$pzc|9CA4=vx;9Fz%AtCqqCtnHLP001;#QjVrM2oR>{F4J z(n}fbEYuOE73vMj4dhKQo&20qO4X=xc7axzR*jeHO%cB4#FyAIE}1InDzVeNWmAxl zYkgY^pKNx4kap*nmk6(t#{f8a<3`D3$?8F)SY3P^jvUKGjw+5|4$lnA3~kOS3n8E( zhckZkV9`X0Z9#U?jRgj%611qLskNu&-M9>T1aX3NL0F&?OLZ&ag|q1%mr9pKK3+aq z*LS~GXCDf!3&&>nj+v&bW;)BC^z1`&x{35_xbrWj1eyXf|Nx zJ#m()JdU@2xL+}zIq}3O$1tch-dGB1F_vjE(J<4huCoF8*qhp>n1H^Q_Z+2zayVDo zhTG;Jb5Q37r_7?{K@+apK*m0<6}RBi5B#%}6HGJJ(`WU9R_AuiwHpQ-tcfhs&V>#p zH^ZOdKfo7@=ZjZ~Hy3<04l%AX4&E74!Y=qC$w)lMca)iwsr+?@tE9bvQz|@`iD-@E z5!8^)zR)`T(1tumxoG-TwqT52-CMouSaLzzj-$EG4tX_Wt*gzuC3@|6)mxB3;EQ0n z03V)KjK!eQpr=BRdB6eTlyMGm=V~WX$2*Ugz0=L?)6TJ{CER1yXV#TLfh*SQt$Ulx z!>gjF;zzsN(<}CyoqN?M!Qb3>2M_jl{-ceiW~}b)`fxn35zz18JIp=n%<4YF8U>OD zng*VVW{4t+9tRV_WWt)mEWq7`w}g%(@P7D&fQqI|v^>IP8rY2kehZAHoN=)QrK>xAdXhgevx z3#l%7Bk~7{Y29Di8k+ZpR@<||GaSW;B_R3c%r1+^8Q>;x!)%kig+0SOV={}o!5iCo zK6PpMq;YA&dHf)G{4kw>&HX@NwBy9H8;Acx4UHeau%(}Jq|(T0qEvUt^B3)MEjp%C zoy|^z88M%H1H&h>G>KzuU;3RCT?Ti$8k)EIZ|(QnH3j~&}g<Kg7KwJ^Du&B#f_$=QzL&R8X3O$q93r#|Vbr*=><&K6%w?d0V49EWcTS)`zonNAv3D{>H{!RAKK|or_lXs`2@x z1K&yF_D$EVVTr+kFxj)Tqm|X=cW-C6Pg`zxw~u2)X#_PMdX`7HGmhKk8*?)YP&L`@ zlU;s?lDn~AGZDG%T|fUiX&Y$2IdPjjRd+`^_vzxlBihni^1XTbfQCY>@@Dunw9a%_ zy|Wg$W{b8%wC>yQ`+M8*b%$AyQlV6VE+<2v%5(quM8n?UJmp{~_pSrI^L|zRv1Bk; 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b/Week9/2742 Painting the Walls.md new file mode 100644 index 0000000..0dad8e3 --- /dev/null +++ b/Week9/2742 Painting the Walls.md @@ -0,0 +1,50 @@ +# 2742. Painting the Walls + +## Intuition + +The key insight is that while a paid painter is painting one wall, the free painter can paint other walls during that time. We can use this to optimize our solution by considering the trade-off between cost and time. + +## Approach + +1. We use dynamic programming where `dp[i]` represents the minimum cost to paint `i` walls +2. Initialize dp array with maximum values except dp[0] = 0 +3. For each wall: + - We consider using the paid painter for this wall + - While paid painter works on current wall, free painter can paint `time[i]` walls + - We update dp[k] where k is min(total_walls, current_walls + 1 + time[i]) + - The minimum cost would be either existing cost or cost of painting current wall plus previous state +4. The final answer is stored in dp[len(cost)] + +## Complexity + +- Time complexity: O(n^2) +- Space complexity: O(n) + +## Keywords + +- Dynamic Programming +- Array +- Optimization +- Minimum Cost +- Two Painters Problem + +## Code + +```go +func paintWalls(cost []int, time []int) int { + dp := make([]int, len(cost)+1) + for i := range dp { + dp[i] = math.MaxInt32 + } + dp[0] = 0 + + for i := range cost { + for j := len(cost)-1; j >= 0; j -= 1 { + k := min(len(cost), j+1+time[i]) + dp[k] = min(dp[k], dp[j]+cost[i]) + } + } + + return dp[len(cost)] +} +```