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search-in-rotated-sorted-array
4 files changed +184
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lines changed Original file line number Diff line number Diff line change
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+ /**
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+ * TC: O(V + E)
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+ * SC: O(V + E)
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+ * N: numCourses(all of vertex), P: prerequisites(all of edge)
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+ */
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+
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+ /**
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+ * @param {number } numCourses
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+ * @param {number[][] } prerequisites
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+ * @return {boolean }
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+ */
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+ var canFinish = function ( numCourses , prerequisites ) {
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+ const STEP = {
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+ before : 0 ,
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+ ing : 1 ,
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+ after : 2 ,
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+ } ;
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+ const stepBoard = Array . from ( { length : numCourses } , ( ) => STEP . before ) ;
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+ const board = Array . from ( { length : numCourses } , ( ) => [ ] ) ;
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+
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+ for ( const [ a , b ] of prerequisites ) {
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+ board [ a ] . push ( b ) ;
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+ }
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+
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+ for ( let index = 0 ; index < numCourses ; index ++ ) {
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+ if ( isCycle ( index ) ) {
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+ return false ;
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+ }
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+ }
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+ return true ;
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+
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+ function isCycle ( current ) {
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+ if ( stepBoard [ current ] === STEP . end ) {
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+ return false ;
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+ }
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+ if ( stepBoard [ current ] === STEP . ing ) {
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+ return true ;
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+ }
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+
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+ stepBoard [ current ] = STEP . ing ;
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+ for ( const next of board [ current ] ) {
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+ if ( isCycle ( next ) ) {
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+ return true ;
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+ }
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+ }
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+ stepBoard [ current ] = STEP . end ;
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+ return false ;
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+ }
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+ } ;
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+ /**
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+ * 양쪽 자식 노드 주소를 교환하고 dfs로 순회합니다.
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+ *
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+ * TC: O(N)
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+ * 모든 트리를 순회합니다.
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+ *
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+ * SC: O(N)
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+ * 최악의 경우 (한쪽으로 치우친 트리) N만큼 CallStack이 생깁니다.
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+ *
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+ * N: tree의 모든 node 수
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+ */
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+
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+ /**
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+ * Definition for a binary tree node.
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+ * function TreeNode(val, left, right) {
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+ * this.val = (val===undefined ? 0 : val)
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+ * this.left = (left===undefined ? null : left)
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+ * this.right = (right===undefined ? null : right)
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+ * }
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+ */
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+ /**
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+ * @param {TreeNode } root
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+ * @return {TreeNode }
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+ */
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+ var invertTree = function ( root ) {
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+ if ( ! root ) {
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+ return root ;
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+ }
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+ [ root . left , root . right ] = [ root . right , root . left ] ;
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+ invertTree ( root . left ) ;
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+ invertTree ( root . right ) ;
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+ return root ;
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+ } ;
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+ /**
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+ * TC: O(N)
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+ * SC: O(1)
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+ * N: nums.length
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+ */
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+
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+ /**
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+ * @param {number[] } nums
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+ * @return {boolean }
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+ */
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+ var canJump = function ( nums ) {
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+ if ( nums . length === 1 ) {
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+ return true ;
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+ }
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+
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+ let maximumIndex = 0 ;
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+
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+ for ( let index = 0 ; index < nums . length ; index ++ ) {
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+ const jumpLength = nums [ index ] ;
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+
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+ if ( jumpLength === 0 ) {
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+ continue ;
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+ }
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+
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+ if ( maximumIndex < index ) {
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+ return false ;
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+ }
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+
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+ maximumIndex = Math . max ( maximumIndex , index + nums [ index ] ) ;
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+
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+ if ( maximumIndex >= nums . length - 1 ) {
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+ return true ;
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+ }
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+ }
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+
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+ return false ;
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+ } ;
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+ /**
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+ * 모든 케이스가 많지 않다고 생각되어 분기처리하였습니다..
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+ * 더 간결한 풀이법을 고려해보는 중..
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+ *
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+ * TC: O(log N)
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+ * 이진탐색을 이용하여 순회합니다.
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+ *
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+ * SC: O(1)
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+ * 이진탐색에 이용되는 투 포인터의 공간복잡도를 갖습니다.
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+ */
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+
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+ /**
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+ * @param {number[] } nums
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+ * @param {number } target
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+ * @return {number }
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+ */
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+ var search = function ( nums , target ) {
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+ if ( nums . length === 1 ) {
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+ return target === nums [ 0 ] ? 0 : - 1 ;
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+ }
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+
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+ let left = 0 ;
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+ let right = nums . length - 1 ;
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+
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+ while ( left < right ) {
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+ const center = Math . floor ( ( left + right ) / 2 ) ;
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+ if ( target === nums [ left ] ) {
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+ return left ;
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+ }
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+ if ( target === nums [ center ] ) {
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+ return center ;
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+ }
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+ if ( target === nums [ right ] ) {
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+ return right ;
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+ }
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+
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+ if ( nums [ left ] <= nums [ center ] && nums [ center ] < nums [ right ] ) {
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+ if ( target < nums [ left ] || nums [ right ] < target ) {
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+ return - 1 ;
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+ } else if ( nums [ left ] < target && target < nums [ center ] ) {
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+ right = center ;
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+ } else if ( nums [ center ] < target && target < nums [ right ] ) {
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+ left = center + 1 ;
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+ }
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+ } else if ( nums [ right ] < nums [ left ] && nums [ left ] <= nums [ center ] ) {
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+ if ( nums [ right ] < target && target < nums [ left ] ) {
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+ return - 1 ;
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+ } else if ( nums [ left ] < target && target < nums [ center ] ) {
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+ right = center ;
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+ } else {
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+ left = center + 1 ;
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+ }
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+ } else if ( nums [ center ] < nums [ right ] && nums [ right ] < nums [ left ] ) {
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+ if ( nums [ center ] < target && target < nums [ right ] ) {
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+ left = center + 1 ;
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+ } else if ( nums [ right ] < target && target < nums [ left ] ) {
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+ return - 1 ;
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+ } else {
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+ right = center ;
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+ }
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+ }
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+ }
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+
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+ return - 1 ;
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+ } ;
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