From 0e7b6faee0139f07623c84e3b0c3a43cf2b75aa0 Mon Sep 17 00:00:00 2001 From: Alonza0314 Date: Wed, 7 May 2025 13:25:49 +0800 Subject: [PATCH 1/5] chore: reorder --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index ffbf422..bd4eeb1 100644 --- a/README.md +++ b/README.md @@ -35,11 +35,11 @@ | 685 | Redundant Connection II | [go](/Hard/685%20Redundant%20Connection%20II.md) | H | | 752 | Open the Lock | [go](/Medium/752%20Open%20the%20Lock.md) | M | | 757 | Set Intersection Size At Least Two | [go](/Hard/757%20Set%20Intersection%20Size%20At%20Least%20Two.md) | H | -| 815 | Bus Routes | [go](/Hard/815%20Bus%20Routes.md) | H | -| 847 | Shortest Path Visiting All Nodes | [go](/Hard/847%20Shortest%20Path%20Visiting%20All%20Nodes.md) | H | | 765 | Couples Holding Hands | [go](/Hard/765%20Couples%20Holding%20Hands.md) | H | +| 815 | Bus Routes | [go](/Hard/815%20Bus%20Routes.md) | H | | 834 | Sum of Distances in Tree | [go](/Hard/834%20Sum%20of%20Distances%20in%20Tree.md) | H | | 840 | Magic Squares In Grid | [go](/Medium/840%20Magic%20Squares%20In%20Grid.md) | M | +| 847 | Shortest Path Visiting All Nodes | [go](/Hard/847%20Shortest%20Path%20Visiting%20All%20Nodes.md) | H | | 881 | Boats to Save People | [go](/Medium/881%20Boats%20to%20Save%20People.md) | M | | 912 | Sort an Array | [go](/Medium/912%20Sort%20an%20Array.md) | M | | 948 | Bag of Tokens | [go](/Medium/948%20Bag%20Of%20Tokens.md) | M | From 5787aab9588997c1ae1e0451a946e0a09cf942c3 Mon Sep 17 00:00:00 2001 From: Alonza0314 Date: Wed, 7 May 2025 13:27:19 +0800 Subject: [PATCH 2/5] feat: basic setup --- Hard/42 Trapping Rain Water.md | 18 ++++++++++++++++++ Medium/855 Exam Room.md | 18 ++++++++++++++++++ Medium/875 Koko Eating Bananas.md | 18 ++++++++++++++++++ README.md | 3 +++ 4 files changed, 57 insertions(+) create mode 100644 Hard/42 Trapping Rain Water.md create mode 100644 Medium/855 Exam Room.md create mode 100644 Medium/875 Koko Eating Bananas.md diff --git a/Hard/42 Trapping Rain Water.md b/Hard/42 Trapping Rain Water.md new file mode 100644 index 0000000..e6e305f --- /dev/null +++ b/Hard/42 Trapping Rain Water.md @@ -0,0 +1,18 @@ +# 42. Trapping Rain Water + +## Intuition + +## Approach + +## Complexity + +- Time complexity: +- Space complexity: + +## Keywords + +## Code + +```go + +``` diff --git a/Medium/855 Exam Room.md b/Medium/855 Exam Room.md new file mode 100644 index 0000000..01179e6 --- /dev/null +++ b/Medium/855 Exam Room.md @@ -0,0 +1,18 @@ +# 855. Exam Room + +## Intuition + +## Approach + +## Complexity + +- Time complexity: +- Space complexity: + +## Keywords + +## Code + +```go + +``` diff --git a/Medium/875 Koko Eating Bananas.md b/Medium/875 Koko Eating Bananas.md new file mode 100644 index 0000000..ca6923b --- /dev/null +++ b/Medium/875 Koko Eating Bananas.md @@ -0,0 +1,18 @@ +# 875. Koko Eating Bananas + +## Intuition + +## Approach + +## Complexity + +- Time complexity: +- Space complexity: + +## Keywords + +## Code + +```go + +``` diff --git a/README.md b/README.md index bd4eeb1..7a65001 100644 --- a/README.md +++ b/README.md @@ -14,6 +14,7 @@ | 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 | | 38 | Count and Say | [go](/Medium/38%20Count%20and%20Say.md) | M | +| 42 | Trapping Rain Water | [go](/Hard/42%20Trapping%20Rain%20Water.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 | @@ -40,6 +41,8 @@ | 834 | Sum of Distances in Tree | [go](/Hard/834%20Sum%20of%20Distances%20in%20Tree.md) | H | | 840 | Magic Squares In Grid | [go](/Medium/840%20Magic%20Squares%20In%20Grid.md) | M | | 847 | Shortest Path Visiting All Nodes | [go](/Hard/847%20Shortest%20Path%20Visiting%20All%20Nodes.md) | H | +| 855 | Exam Room | [go](/Medium/855%20Exam%20Room.md) | M | +| 875 | Koko Eating Bananas | [go](/Medium/875%20Koko%20Eating%20Bananas.md) | M | | 881 | Boats to Save People | [go](/Medium/881%20Boats%20to%20Save%20People.md) | M | | 912 | Sort an Array | [go](/Medium/912%20Sort%20an%20Array.md) | M | | 948 | Bag of Tokens | [go](/Medium/948%20Bag%20Of%20Tokens.md) | M | From fa6dce2d440278a9c5342487285372be8e96cdac Mon Sep 17 00:00:00 2001 From: Alonza0314 Date: Wed, 7 May 2025 13:38:02 +0800 Subject: [PATCH 3/5] feat: 875 --- Medium/875 Koko Eating Bananas.md | 51 ++++++++++++++++++++++- Week11/875 AC.png | Bin 0 -> 119119 bytes Week11/875 Koko Eating Bananas.md | 65 ++++++++++++++++++++++++++++++ 3 files changed, 114 insertions(+), 2 deletions(-) create mode 100644 Week11/875 AC.png create mode 100644 Week11/875 Koko Eating Bananas.md diff --git a/Medium/875 Koko Eating Bananas.md b/Medium/875 Koko Eating Bananas.md index ca6923b..65e2626 100644 --- a/Medium/875 Koko Eating Bananas.md +++ b/Medium/875 Koko Eating Bananas.md @@ -2,17 +2,64 @@ ## Intuition +We can use binary search to find the optimal speed since: + +1. If Koko can finish bananas at speed k, she can definitely finish them at any speed > k +2. If Koko cannot finish bananas at speed k, she definitely cannot finish them at any speed < k + ## Approach +1. Use binary search to find the minimum eating speed +2. The search range is from 1 to the maximum pile size +3. For each speed k: + - Check if Koko can finish all piles within h hours + - If pile size ≤ k, it takes 1 hour + - If pile size > k, it takes (pile size / k) hours, rounded up +4. Return the minimum speed that allows Koko to finish all bananas + ## Complexity -- Time complexity: -- Space complexity: +- Time complexity: O(n * log M) +- Space complexity: O(1) ## Keywords +- Binary Search + ## Code ```go +func check(mid, h int, piles []int) bool { + for _, pile := range piles { + if pile <= mid { + h -= 1 + } else { + if pile % mid != 0 { + h -= 1 + } + h -= (pile / mid) + } + if h < 0 { + return false + } + } + return true +} +func minEatingSpeed(piles []int, h int) int { + maxPile := 0 + for _, pile := range piles { + maxPile = max(maxPile, pile) + } + l, r := 1, maxPile + for l <= r { + mid := (l + r) / 2 + if check(mid, h, piles) { + r = mid - 1 + } else { + l = mid + 1 + } + } + return l +} ``` diff --git a/Week11/875 AC.png b/Week11/875 AC.png new file mode 100644 index 0000000000000000000000000000000000000000..afe00b967e4c9ea2facfbd49ec9f8fc653230f18 GIT binary patch literal 119119 zcmeFZWmp}{wl<2pJ0Up1Wdgz7U4py2ySq!U;O-D4xVyU~_+$dXNpN@hX4YP3pL4!@ z_xgXI=gy~_uC6ZY8ly&4z2j}7l@+B>k=`LeKtQ0%NQER zfD#89xGLMcG`{uXF%?QPLqJ4_a4XQ_?~3|iKy=BFrS3rrr-*L&+2pB3Yl>A34%lMV^CwN!6B31!L{waTZA zkxG(~eF~I(JZ>yojdlSqqa#i=vOJ2WLPA>B1W(u_IQ4zLVDyddyaWUS3k zz`TSWAma?<*8hTyx#6gq!HlM|+V@;&zRhp&e#i$yGkQ0;{)LmqEZG!pzdMt8$K~=GZG2(bu?tEO+2as1AaFan}Td9h+8y|m}to{StW5ij-W1y z&LpK?OPCQ`Cger^QOml6k+$q-fMtyzna8nsSqA=(gxY=ck?^lB;R2ZFPtTF{M(Y%a zGy%d=RHXQV7_rJY7++(EX=14^>gh?AllLD+zm9Bs%;kIy@Le-Z!LHt&CW}u#7)AR$ zJsTRUTAF|_b5*ph7O=gi{rsIaRp{OT1Fek=qAmz(=_7#94AR+F(;vS}^#%q~FfkZ~ z3<~XKsxNA&hXk=}Bn0Z5Mx26-^!>rlWd^8+#5dkBb(d`sMR#|I-!J~Msdnc$+jAw+HEiSakKgW|A)a!#gsHpo!D1OJLf68Aj)okq2)GQAEamSm6MYpcO!#Y`%3^rZxw6f43THGN-kLy$?BV(4boU$D)CkSah<~OJ)eBMx13^@TDhgW0h~iohyT+9; 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B^jQD^ literal 0 HcmV?d00001 diff --git a/Week11/875 Koko Eating Bananas.md b/Week11/875 Koko Eating Bananas.md new file mode 100644 index 0000000..65e2626 --- /dev/null +++ b/Week11/875 Koko Eating Bananas.md @@ -0,0 +1,65 @@ +# 875. Koko Eating Bananas + +## Intuition + +We can use binary search to find the optimal speed since: + +1. If Koko can finish bananas at speed k, she can definitely finish them at any speed > k +2. If Koko cannot finish bananas at speed k, she definitely cannot finish them at any speed < k + +## Approach + +1. Use binary search to find the minimum eating speed +2. The search range is from 1 to the maximum pile size +3. For each speed k: + - Check if Koko can finish all piles within h hours + - If pile size ≤ k, it takes 1 hour + - If pile size > k, it takes (pile size / k) hours, rounded up +4. Return the minimum speed that allows Koko to finish all bananas + +## Complexity + +- Time complexity: O(n * log M) +- Space complexity: O(1) + +## Keywords + +- Binary Search + +## Code + +```go +func check(mid, h int, piles []int) bool { + for _, pile := range piles { + if pile <= mid { + h -= 1 + } else { + if pile % mid != 0 { + h -= 1 + } + h -= (pile / mid) + } + if h < 0 { + return false + } + } + return true +} + +func minEatingSpeed(piles []int, h int) int { + maxPile := 0 + for _, pile := range piles { + maxPile = max(maxPile, pile) + } + l, r := 1, maxPile + for l <= r { + mid := (l + r) / 2 + if check(mid, h, piles) { + r = mid - 1 + } else { + l = mid + 1 + } + } + return l +} +``` From 715fafa42e9027c6f06be31e5321f236a3dd8ba2 Mon Sep 17 00:00:00 2001 From: Alonza0314 Date: Wed, 7 May 2025 13:41:04 +0800 Subject: [PATCH 4/5] feat: 42 --- Hard/42 Trapping Rain Water.md | 41 ++++++++++++++++++++++-- Week11/42 AC.png | Bin 0 -> 116620 bytes Week11/42 Trapping Rain Water.md | 53 +++++++++++++++++++++++++++++++ 3 files changed, 91 insertions(+), 3 deletions(-) create mode 100644 Week11/42 AC.png create mode 100644 Week11/42 Trapping Rain Water.md diff --git a/Hard/42 Trapping Rain Water.md b/Hard/42 Trapping Rain Water.md index e6e305f..596cbe3 100644 --- a/Hard/42 Trapping Rain Water.md +++ b/Hard/42 Trapping Rain Water.md @@ -2,17 +2,52 @@ ## Intuition +The key insight is that the amount of water trapped at any position depends on the minimum of the maximum heights on both sides. We can use two pointers approach to track the maximum heights from both ends and calculate the trapped water accordingly. + ## Approach +1. Use two pointers (left and right) starting from both ends of the array +2. Keep track of the maximum heights seen from both sides (minL and minR) +3. Move the pointer pointing to the smaller height +4. For each position: + - If current height is greater than or equal to the maximum height seen so far, update the maximum + - Otherwise, add the difference between maximum height and current height to the result +5. Continue until left pointer meets right pointer + ## Complexity -- Time complexity: -- Space complexity: +- Time complexity: O(n) +- Space complexity: O(1) ## Keywords +- Two Pointers + ## Code ```go - +func trap(height []int) int { + if len(height) < 2 { + return 0 + } + left, right, ret, minL, minR := 0, len(height) - 1, 0, math.MinInt, math.MinInt + for left < right { + if height[left] < height[right] { + if height[left] >= minL { + minL = height[left] + } else { + ret += minL - height[left] + } + left += 1 + } else { + if height[right] >= minR { + minR = height[right] + } else { + ret += minR - height[right] + } + right -= 1 + } + } + return ret +} ``` diff --git a/Week11/42 AC.png b/Week11/42 AC.png new file mode 100644 index 0000000000000000000000000000000000000000..1067f752c005e0af7919862181504a14e908e3c2 GIT binary patch literal 116620 zcmeFYWmp{Bx;5I}xRYQZXn;V1yGtWMg1fs1cZUXodvJFP8r)rjyK92GJKWA*YwfeY zbDn$8ulw(-=c%5vtEN;p&`FT1^@tP65=8X005jL008q95gvL4Sl_q- 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Trapping Rain Water + +## Intuition + +The key insight is that the amount of water trapped at any position depends on the minimum of the maximum heights on both sides. We can use two pointers approach to track the maximum heights from both ends and calculate the trapped water accordingly. + +## Approach + +1. Use two pointers (left and right) starting from both ends of the array +2. Keep track of the maximum heights seen from both sides (minL and minR) +3. Move the pointer pointing to the smaller height +4. For each position: + - If current height is greater than or equal to the maximum height seen so far, update the maximum + - Otherwise, add the difference between maximum height and current height to the result +5. Continue until left pointer meets right pointer + +## Complexity + +- Time complexity: O(n) +- Space complexity: O(1) + +## Keywords + +- Two Pointers + +## Code + +```go +func trap(height []int) int { + if len(height) < 2 { + return 0 + } + left, right, ret, minL, minR := 0, len(height) - 1, 0, math.MinInt, math.MinInt + for left < right { + if height[left] < height[right] { + if height[left] >= minL { + minL = height[left] + } else { + ret += minL - height[left] + } + left += 1 + } else { + if height[right] >= minR { + minR = height[right] + } else { + ret += minR - height[right] + } + right -= 1 + } + } + return ret +} +``` From 4bca5ef1305d7b8f6084d2a214e97063fd7a19af Mon Sep 17 00:00:00 2001 From: Alonza0314 Date: Wed, 7 May 2025 14:10:52 +0800 Subject: [PATCH 5/5] feat: 855 --- Medium/855 Exam Room.md | 85 ++++++++++++++++++++++++++++++++- Week11/855 AC.png | Bin 0 -> 127819 bytes Week11/855 Exam Room.md | 101 ++++++++++++++++++++++++++++++++++++++++ 3 files changed, 185 insertions(+), 1 deletion(-) create mode 100644 Week11/855 AC.png create mode 100644 Week11/855 Exam Room.md diff --git a/Medium/855 Exam Room.md b/Medium/855 Exam Room.md index 01179e6..ce1b9ac 100644 --- a/Medium/855 Exam Room.md +++ b/Medium/855 Exam Room.md @@ -2,17 +2,100 @@ ## Intuition +When a new student enters, we need to find the seat that maximizes the minimum distance to any other student. When a student leaves, we need to efficiently remove them from the seating arrangement. + ## Approach +1. Use a sorted array to maintain the current seating arrangement +2. For the `Seat()` operation: + - If the room is empty, place the first student at seat 0 + - Otherwise, find the maximum gap between existing students + - Consider three cases: + a. Gap at the beginning (seat 0) + b. Gaps between existing students + c. Gap at the end (last seat) + - Insert the new student at the position that creates the maximum minimum distance +3. For the `Leave()` operation: + - Use binary search to find the student's position + - Remove them from the array while maintaining the sorted order + ## Complexity - Time complexity: -- Space complexity: + - Seat(): O(n) + - Leave(): O(log n) for binary search +- Space complexity: O(n) ## Keywords +- Binary Search + ## Code ```go +type ExamRoom struct { + seats int + students []int +} + + +func Constructor(n int) ExamRoom { + return ExamRoom{ + seats: n, + students: make([]int, 0), + } +} + + +func (e *ExamRoom) Seat() int { + if len(e.students) == 0 { + e.students = append(e.students, 0) + return 0 + } + + seat, distance, idx := 0, e.students[0], 0 + + for i := 0; i < len(e.students) - 1; i += 1 { + curDistance := (e.students[i + 1] - e.students[i]) / 2 + if curDistance > distance { + distance, seat, idx = curDistance, e.students[i] + curDistance, i + 1 + } + } + + if e.seats - 1 - e.students[len(e.students) - 1] > distance { + distance = e.seats - 1 - e.students[len(e.students) - 1] + seat, idx = e.seats - 1, len(e.students) + } + + e.students = append(e.students, 0) + copy(e.students[idx + 1:], e.students[idx:]) + e.students[idx] = seat + return seat +} + + +func (e *ExamRoom) Leave(p int) { + l, r := 0, len(e.students) - 1 + for l <= r { + m := (l + r) >> 1 + if e.students[m] == p { + e.students = append(e.students[:m], e.students[m + 1:]...) + return + } + + if e.students[m] < p { + l = m + 1 + } else { + r = m - 1 + } + } +} + +/** + * Your ExamRoom object will be instantiated and called as such: + * obj := Constructor(n); + * param_1 := obj.Seat(); + * obj.Leave(p); + */ ``` diff --git a/Week11/855 AC.png b/Week11/855 AC.png new file mode 100644 index 0000000000000000000000000000000000000000..2e1d4f4a2c176c27a8a4f021b80da05790533b35 GIT binary patch literal 127819 zcmeFYWmH{Dmo|#KYj6St2=4Cg?oM!bcXtZ}cXyYd!GcS0->}i(?sj+1IsNwg-R{x- z{l4SwF&0(SDp_mJk~yFGtSBV~Nn`|k1TZi#WN9fe6)-U9Y%nm$XgC;92}$HPEHE%6 zSu0UdC23JnQYB{xb1PdjFfgg8ZGAeFoe?m_ 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Exam Room + +## Intuition + +When a new student enters, we need to find the seat that maximizes the minimum distance to any other student. When a student leaves, we need to efficiently remove them from the seating arrangement. + +## Approach + +1. Use a sorted array to maintain the current seating arrangement +2. For the `Seat()` operation: + - If the room is empty, place the first student at seat 0 + - Otherwise, find the maximum gap between existing students + - Consider three cases: + a. Gap at the beginning (seat 0) + b. Gaps between existing students + c. Gap at the end (last seat) + - Insert the new student at the position that creates the maximum minimum distance +3. For the `Leave()` operation: + - Use binary search to find the student's position + - Remove them from the array while maintaining the sorted order + +## Complexity + +- Time complexity: + - Seat(): O(n) + - Leave(): O(log n) for binary search +- Space complexity: O(n) + +## Keywords + +- Binary Search + +## Code + +```go +type ExamRoom struct { + seats int + students []int +} + + +func Constructor(n int) ExamRoom { + return ExamRoom{ + seats: n, + students: make([]int, 0), + } +} + + +func (e *ExamRoom) Seat() int { + if len(e.students) == 0 { + e.students = append(e.students, 0) + return 0 + } + + seat, distance, idx := 0, e.students[0], 0 + + for i := 0; i < len(e.students) - 1; i += 1 { + curDistance := (e.students[i + 1] - e.students[i]) / 2 + if curDistance > distance { + distance, seat, idx = curDistance, e.students[i] + curDistance, i + 1 + } + } + + if e.seats - 1 - e.students[len(e.students) - 1] > distance { + distance = e.seats - 1 - e.students[len(e.students) - 1] + seat, idx = e.seats - 1, len(e.students) + } + + e.students = append(e.students, 0) + copy(e.students[idx + 1:], e.students[idx:]) + e.students[idx] = seat + return seat +} + + +func (e *ExamRoom) Leave(p int) { + l, r := 0, len(e.students) - 1 + for l <= r { + m := (l + r) >> 1 + if e.students[m] == p { + e.students = append(e.students[:m], e.students[m + 1:]...) + return + } + + if e.students[m] < p { + l = m + 1 + } else { + r = m - 1 + } + } +} + + +/** + * Your ExamRoom object will be instantiated and called as such: + * obj := Constructor(n); + * param_1 := obj.Seat(); + * obj.Leave(p); + */ +```