From ef98df497e7dcf160156926cedd80fd9dc42d783 Mon Sep 17 00:00:00 2001 From: beombu Date: Fri, 13 May 2022 15:24:30 +0900 Subject: [PATCH 1/3] add : Heap & Priority Queue --- 10/beom/Heap.md | 46 ++++++++++++++++++++++++++++++ 10/beom/Heap.pptx | Bin 0 -> 511782 bytes 10/beom/Priority_Queue.md | 52 ++++++++++++++++++++++++++++++++++ 10/beom/asset/add_heap.PNG | Bin 0 -> 110292 bytes 10/beom/asset/delete_heap.PNG | Bin 0 -> 111052 bytes 10/beom/asset/heap.PNG | Bin 0 -> 41900 bytes 10/beom/asset/heap_index.PNG | Bin 0 -> 46332 bytes 7 files changed, 98 insertions(+) create mode 100644 10/beom/Heap.md create mode 100644 10/beom/Heap.pptx create mode 100644 10/beom/Priority_Queue.md create mode 100644 10/beom/asset/add_heap.PNG create mode 100644 10/beom/asset/delete_heap.PNG create mode 100644 10/beom/asset/heap.PNG create mode 100644 10/beom/asset/heap_index.PNG diff --git a/10/beom/Heap.md b/10/beom/Heap.md new file mode 100644 index 00000000..5b08127c --- /dev/null +++ b/10/beom/Heap.md @@ -0,0 +1,46 @@ +# Heap + +## 자료구조 Heap이란? +- **완전 이진 트리의 일종**으로 우선순위 큐를 위하여 만들어진 자료구조 +- **여러 개의 값들 중에서 최대값이나 최솟값을 빠르게 찾아내도록 만들어진 자료구조이다.** +- 힙은 형제노드 간의 우선순위를 고려하지 않고 부모 노드와 자식 노드의 키 값만 고려한다. 이러한 정렬 상태를 **반정렬 상태** 혹은 **느슨한 정렬 상태** 또는 **약한 힙**이라고 불린다. +- 힙 트리에서는 중복된 값을 허용한다. + +## Heap의 종류 +- 최대 힙(max heap) + - 부모 노드의 키값이 자식 노드의 키 값보다 크거나 같은 완전 이진 트리 + - key(부모 노드) >= key(자식 노드) +- 최소 힙(min heap) + - 부모 노드의 키 값이 자삭 노드의 키 값보다 작거나 같은 완전 이진 트리 + - key(부모 노드) <= key(자식 노드) + +![heap](asset/heap.PNG) + +## Heap의 구현 +- 힙을 저장하는 표준적인 자료구조는 **배열**이다. +- 구현을 쉽게 하기 위하여 배열의 첫 번째 인덱스인 0은 사용되지 않는다. = 시작 인덱스(root)는 1부터 시작한다. +- 특정 위치의 노드 번호(인덱스)는 새로운 노드가 추가되어도 변하지 않는다.(불변) + - 예를 들어 루트 노드의 오른쪽 노드의 번호는 항상 3이다. +- 배열 힙의 성질 + 1. 왼쪽 자식 노드 인덱스 = 부모 노드의 인덱스 * 2 + 2. 오른쪽 자식의 노드 인덱스 = 부모 노드의 인덱스 * 2 + 1 + 3. 부모 노드의 인덱스 = 자식 노드 인덱스 / 2 +![heap구현 예시](asset/heap_index.PNG) + +## Heap의 삽입 +1. 힙에 새로운 요소가 들어오면, 일단 새로운 노드를 힙의 마지막 노드에 이어서 삽입힌다. +2. 새로운 노드를 부모 노드들과 교환해서 힙의 성질을 만족시킨다. + +ex) 아래의 최대 힙에 새로운 요소 8을 삽입 해보자 + +![heap삽입구현 예시](asset/add_heap.PNG) + +## Heap의 삭제 +1. 최대 힙에서 최댓값이 루트 노드이므로 루트 노드가 삭제된다. + - 최대 힙에서 삭제 연산은 최대값을 가진 요소를 삭제하는 것이다. +2. 삭제된 루트 노드에서 힙의 마지막 노드를 가져온다. +3. 힙을 재구성한다. + +ex) 아래의 최대 힙에서 최대값을 삭제해보자 + +![heap삭제구현 예시](asset/delete_heap.PNG) diff --git a/10/beom/Heap.pptx b/10/beom/Heap.pptx new file mode 100644 index 0000000000000000000000000000000000000000..da141cf0f045578ca6de244326fe1dbb678e3292 GIT binary patch literal 511782 zcmeFYV{oN!yX~8F%#Ll_w(WG1j%}MA+h)f`haEfV*tTt3XLkSJb@qDC>b1`PzW4kv zt7g^nW!_cey2tok<57?X0Yw1<2Z96w0wM(3On6Ws`ve5UiU9kdkiTI{< zmao)`-*uW02nX^hp7q0fQI4w0;kW@bb4{ejZv93tBn9MVWJSY7vs%tf1tD2p61;3S zNuk{Twdsk6lRWK4OGV293~b4dI3*&5exIEigbrqE7}e;k-Ce$vdO^W4#S(<-mZttk z^Jm%Cyx^41C+I^fF5dh?RlLOPN3j5!eSG~P_G!~>o8F!1-4s96AwDON3@tE3XW~hh z$!?7NVBz$GUPQElR`i~zxV&Ay+nFC_=VQjT+2VLaD~vX@k)EjFI75@SIP%poFL->u zsHjG2tIxJ=@cAW-Sy(W1zv>NdLXyB0?i?tkN}QTYg(cR}%lG)l+V+KT$?ReKhb}Lv zUHM+spW$3AYP0V1Q}0>KIkJQpgvs5ax&_`Cr 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루트 노드에 올린 후 자식 노드들과 비교하며 Swap + +## JAVA PriorityQueue 클래스 특징 +- null 값을 허용하지 않는다. +- 비교할 수 없는 객체를 허용하지 않는다. +- Threa-safe 하지 않는다. + - 멀티스레드 환경에서는 Prioriy Blocking Queue를 사용하면 된다. +- iterator() 메소드로 순회했을 때 순서를 보장하지 않는다. +- DEFAULT_INITINAL_CAPACITY = 11 이다.(기본 초기 용량) + + +## Priority Queue의 시간복잡도 +| offer | peek | poll | size | +|------|-------|---|---| +| O(log n) | O(1) | O(log n) | O(1) | + + +## LinkedList Queue vs Priority Queue +자바에서 Queue를 구현할 경우에 LinkedList를 사용하여 구현할 수 있고 Priority Queue를 사용하여 구현할 수 있다. + +> 여기서 큐는 FIFO 방식의 자료구조이다.
+> 그래프의 넓이 우선 탐색(BFS)에서 사용된다. + +**< LinkedList 구현 특징 >** + +- add : O(1) +- remove : O(1) +- get : O(n) +- Contains : O(n) +- iterator.remove : O(1) +- java 1.2에 추가, thread-safe 보장 안함 +- 특징 : 데이터를 저장하는 각 노드가 이전 노드와 다음 노드의 상태만 알고 있다. + - 데이터 추가/삭제시 빠름 + - 데이터 검색시 처음부터 노드를 순화해야 되기 때문에 느림 + +**< priorityQueue 구현 특징 >** + +- offer(입력) : O(log n) +- peek(get) : O(1) +- poll(반환) : O(log n) +- size : O(1) +- natural order : JVM에서 제공하는 일반적인거와 다를수 있음 순서 ex) 문자는 ASCII 순서로 정렬 +- java 1.5 에서 나옴 +- 특징 : 일반적은 큐는 FIFO의 구조를 가지지만 자연 네추럴 오더에 따라 정렬 + - Null을 허용하지 않는다. \ No newline at end of file diff --git a/10/beom/asset/add_heap.PNG b/10/beom/asset/add_heap.PNG new file mode 100644 index 0000000000000000000000000000000000000000..54f20208a1f94fb89a776273227a627149b1aa93 GIT binary patch literal 110292 zcmYiO1zc0_`#+8gq7DVzKtL&BNJ*)5*XRzVTe_q>1RR?PNaq+S4blxNChwa1XbJte~ zhZVtMGePH@tM4dH6z-7FbQ2c;TZ=&I_<13|$6Q;W(3J0pszAQP^}d9VG?;41-GczB#WR5KkB1i;c-c 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z_j*#!Pbvc{Jm6r7XNVpnJupi61Axd5F!YR$XfTi>p;-KPL*&nw3k zoZKZpDh-8Y$Y1nZxz+O=;vJjN`O2<8*bPyiVImBudE%E|^D?G15dwR9}2FJJ5Us+xUpxxq3)n)KBaVXGd8O>=wdh-{H*L$Fe-TA8*vVhF==um32z< zHizU**L?wV7NX{GZ~O44_j=B}@pN%p)E7=`z8EdoXOa9-pee9ct0ib4%5f~NRn+eM zjL}(vFhp}qVxq&W_+Uh3>}#=^E{dZazi2ZVl2^?L5r{j92+5kr=7=-cSC53zY6-z- zM5PeyD2imkhdNz1UccsUoF;Rsv)MpcU&Td3SpO*|c+r|FNSQ+B7kR;_Cf3s_GY=A7 zexs|dw(_mlhP<%~N6Z|{p(ei}Si@c{o?}zh5 z|0R~rmH_$DPI-wyuF>-R0YK4sg;!eGMDG?P@hK{MY)=YJ3Uf9$hEi_N7vJ=F>5P{?2tMq~gQz~`z@s)Bn=^IOyivXCwL8JdZn)}rPV#)@rA@t{odloI7!)&A{8`)H#ql}RL1f%#qH}b%{Gq13 zak_sAZu#ISd`4o)FT9cS-&KpgH_iDES_$O$Mdxd$zY09+DGqgd_(*^am&IAki_j7$ zsp!;PTvl;C0@v_z4?$TZ$>3G+<0~$kR4oyA%ejMtE#!hU1P1Zah8r zO++XVqzqhZi&DvbtZ4SbcKZE#e0Uf}oiXYRl)jbo8~CSp#Yn42 Date: Sun, 19 Jun 2022 02:58:19 +0900 Subject: [PATCH 2/3] add : Leetcod 506 --- 10/beom/Leetcode.md | 54 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 54 insertions(+) create mode 100644 10/beom/Leetcode.md diff --git a/10/beom/Leetcode.md b/10/beom/Leetcode.md new file mode 100644 index 00000000..a78e1486 --- /dev/null +++ b/10/beom/Leetcode.md @@ -0,0 +1,54 @@ +## 목차 + + + + + + +## 506. Relative Ranks +### 문제 요약 +랭크는 삽입하세요. + +### 시간 복잡도 공간복잡도 +| time | space | +|------|-------| +| O(n log n) | O(1) | + + +### 코드 +```java +import java.util.Collections; +import java.util.HashMap; +import java.util.PriorityQueue; + +class Solution { + public String[] findRelativeRanks(int[] score) { + PriorityQueue priorityQueue = new PriorityQueue<>(Collections.reverseOrder()); + + for(int i:score){ + priorityQueue.add(i); + } + + HashMap map = new HashMap<>(); + int index =1; + while(!priorityQueue.isEmpty()){ + if(index==1){ + map.put(priorityQueue.poll(),"Gold Medal"); + }else if(index ==2){ + map.put(priorityQueue.poll(),"Silver Medal"); + } else if (index == 3) { + map.put(priorityQueue.poll(),"Bronze Medal"); + }else{ + map.put(priorityQueue.poll(),Integer.toString(index)); + } + index++; + } + + String[] result = new String[score.length]; + for(int i=0;i< score.length;i++){ + result[i] = map.get(score[i]); + } + return result; + } +} +``` \ No newline at end of file From 2ab937cf7280101ae5b5032ceeb23b46624d95e1 Mon Sep 17 00:00:00 2001 From: beombu Date: Sun, 19 Jun 2022 04:10:14 +0900 Subject: [PATCH 3/3] add : Leetcode 1337 --- 10/beom/Leetcode.md | 101 ++++++++++++++++++++++++++++++++++++++++++-- 1 file changed, 97 insertions(+), 4 deletions(-) diff --git a/10/beom/Leetcode.md b/10/beom/Leetcode.md index a78e1486..0ebd4af8 100644 --- a/10/beom/Leetcode.md +++ b/10/beom/Leetcode.md @@ -1,13 +1,23 @@ ## 목차 - - +- 506. Relative Ranks +- 1337. The K Weakest Rows in a Matrix ## 506. Relative Ranks ### 문제 요약 -랭크는 삽입하세요. +score의 수가 가장 높은 순서대로 등수이다. + +1등에게는 Gold Medal + +2등에게는 Silver Medal + +3등에게는 Bronze Medal + +4등에게는 4 + +이런식으로 문자열을 넣어서 반환해라 ### 시간 복잡도 공간복잡도 | time | space | @@ -51,4 +61,87 @@ class Solution { return result; } } -``` \ No newline at end of file +``` + + + +## 1337. The K Weakest Rows in a Matrix +### 문제 요약 +2차원 배열에서 1은 군인이고 0은 사람이다. 군인은 가장 앞에 있어야 한다. + +군인이 가장 적은 배열이 있는 인덱스를 반환하자. + +k개 까지만 인덱스를 반환하면 된다. + +### 시간 복잡도 공간복잡도 +| time | space | +|------|-------| +| O(n^2) | O(1) | + + +### 내가 푼 코드(틀림) + +> 해당 코드는 key값을 배열에 넣어야하는데 value값으로 ke값을 조회해야하는 문제로 막힘.... + + +```java +import java.util.HashMap; +import java.util.PriorityQueue; + +class Solution { + public int[] kWeakestRows(int[][] mat, int k) { + HashMap map = new HashMap<>(); + PriorityQueue pq = new PriorityQueue<>(); + int total =0; + int[] result = new int[k]; + + for(int i=0;i queue = new PriorityQueue<>(); + + int count = 0; + for(int i=0;i