PK ~rN meta.xmlvþlinxqXMindR3.7.8.2018072400491047597#FFFFFFPKøåC4 PK ~rN content.xml÷iç®æ³![]()
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O(1)<O(lgN)<O(N)<O(N*lgN)<O(n²)<O(n3)<O(2â¿)éå½åºç¨åºæ¯ç¬æ¥¼æ¢¯é®é¢æ¯ççä»é®é¢å®ç°æ¶é´å¤æåº¦ä¸ºO(n)ï¼ç©ºé´å¤æåº¦ä¸ºO(1)function fibonacci(n){
var a,b,res;
a = b = 1;
if(n == 0){
return 0;
}
if(n == 1 || n == 2){
return 1;
}
for(var i=2;i<n;i++){
res = a + b;
a = b;
b = res;
}
return res;
} function fibonacci(n){
var a,b,res;
a = b = 1;
if(n == 0){
return 0;
}
if(n == 1 || n == 2){
return 1;
}
for(var i=2;i<n;i++){
res = a + b;
a = b;
b = res;
}
return res;
}
æ¶é´å¤æåº¦ä¸ºO(n)ï¼ç©ºé´å¤æåº¦ä¸ºO(n)function fibo(x){
var arr = new Array(x);
arr[0] = 1;
arr[1] = 1;
for(var index=2;index<x;index++){
arr[index] = arr[index-1]+arr[index-2];
}
var result = 0;
arr.forEach((item)=>{
result+=item;
});
return result;
}
fibo(5);function fibo(x){
var arr = new Array(x);
arr[0] = 1;
arr[1] = 1;
for(var index=2;index<x;index++){
arr[index] = arr[index-1]+arr[index-2];
}
var result = 0;
arr.forEach((item)=>{
result+=item;
});
return result;
}
fibo(5);
æ¶é´å¤æåº¦ä¸º O(N*lgN)function Fibonacci (n) {
if ( n <= 1 ) {return 1};
return Fibonacci(n - 1) + Fibonacci(n - 2);
}
Fibonacci(10) // 89
Fibonacci(100) // å æ 溢åº
Fibonacci(500) // å æ 溢åº
function Fibonacci (n) {
if ( n <= 1 ) {return 1};
return Fibonacci(n - 1) + Fibonacci(n - 2);
}
Fibonacci(10) // 89
Fibonacci(100) // å æ 溢åº
Fibonacci(500) // å æ æº¢åºæåºç®æ³æ¯è¾æåºäº¤æ¢æåºå泡æåº O(n²)function bubbleSort(arr) {
var len = arr.length;
for (var i = 0; i < len - 1; i++) {
for (var j = 0; j < len - 1 - i; j++) {
if (arr[j] > arr[j+1]) { // ç¸é»å
ç´ ä¸¤ä¸¤å¯¹æ¯
var temp = arr[j+1]; // å
ç´ äº¤æ¢
arr[j+1] = arr[j];
arr[j] = temp;
}
}
}
return arr;
}
function bubbleSort(arr) {
var len = arr.length;
for (var i = 0; i < len - 1; i++) {
for (var j = 0; j < len - 1 - i; j++) {
if (arr[j] > arr[j+1]) { // ç¸é»å
ç´ ä¸¤ä¸¤å¯¹æ¯
var temp = arr[j+1]; // å
ç´ äº¤æ¢
arr[j+1] = arr[j];
arr[j] = temp;
}
}
}
return arr;
}å¿«éæåºæ¯æ¬¡ååºåä¸ç第ä¸ä¸ªæ°ä½ä¸ºåºåï¼å°åºåå为两é¨åï¼å·¦è¾¹çæ°è¦å°äºåºåå¼ï¼å³è¾¹çæ°å¤§äºåºåå¼ãå
·ä½åæ³æ¯ä½¿ç¨ä¸¤ä¸ªæéååæ«ç åºåï¼åé¢çæéå
æ«ï¼è¥åç°åé¢çå¼å°äºåºåå¼å交æ¢ï¼æ¥çåé¢çæéå¼å§æ«æï¼è¥åé¢çå¼å¤§äºåºåå¼å交æ¢ã
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public static int partition(int[] arr,int start,int end){
int base = arr[start];
while(start<end){
while(arr[end]>base && start<end){
end--;
}
arr[start] = arr[end];
while(arr[start]<=base && start<end){
start++;
}
arr[end] = arr[start];
}
arr[start] = base;
return start;
}
public static void quickSort(int[] arr,int low,int high) {
if (low < high) {
int pivot = partition(arr, low, high); //å°æ°ç»å为两é¨å
quickSort(arr, low, pivot - 1); //é彿åºå·¦åæ°ç»
quickSort(arr, pivot + 1, high); //é彿åºå³åæ°ç»
}
}
æ¯æ¬¡ååºåä¸ç第ä¸ä¸ªæ°ä½ä¸ºåºåï¼å°åºåå为两é¨åï¼å·¦è¾¹çæ°è¦å°äºåºåå¼ï¼å³è¾¹çæ°å¤§äºåºåå¼ãå
·ä½åæ³æ¯ä½¿ç¨ä¸¤ä¸ªæéååæ«ç åºåï¼åé¢çæéå
æ«ï¼è¥åç°åé¢çå¼å°äºåºåå¼å交æ¢ï¼æ¥çåé¢çæéå¼å§æ«æï¼è¥åé¢çå¼å¤§äºåºåå¼å交æ¢ã
å·§å¦ä¹å¤å¨äºpartitionæ¹æ³ä¸çç½®æ¢
public static int partition(int[] arr,int start,int end){
int base = arr[start];
while(start<end){
while(arr[end]>base && start<end){
end--;
}
arr[start] = arr[end];
while(arr[start]<=base && start<end){
start++;
}
arr[end] = arr[start];
}
arr[start] = base;
return start;
}
public static void quickSort(int[] arr,int low,int high) {
if (low < high) {
int pivot = partition(arr, low, high); //å°æ°ç»å为两é¨å
quickSort(arr, low, pivot - 1); //é彿åºå·¦åæ°ç»
quickSort(arr, pivot + 1, high); //é彿åºå³åæ°ç»
}
}æå
¥æåºç®åæå
¥æåº O(n²)ä»ç¬¬ä¸ä¸ªå
ç´ å¼å§ï¼è¯¥å
ç´ å¯ä»¥è®¤ä¸ºå·²ç»æå¥½åºãååºä¸ä¸ä¸ªå
ç´ ï¼å¨åºåä¸ä»åååæ«æï¼å¦æè¯¥å
ç´ å¤§äºæ°å
ç´ ï¼åå°è¯¥å
ç´ ç§»å¨å°ä¸ä¸ä½ã
function insertionSort(arr) {
var len = arr.length;
var preIndex, current;
for (var i = 1; i < len; i++) {
preIndex = i - 1;
current = arr[i];
while (preIndex >= 0 && arr[preIndex] > current) {
arr[preIndex + 1] = arr[preIndex];
preIndex--;
}
arr[preIndex + 1] = current;
}
return arr;
}
ä»ç¬¬ä¸ä¸ªå
ç´ å¼å§ï¼è¯¥å
ç´ å¯ä»¥è®¤ä¸ºå·²ç»æå¥½åºãååºä¸ä¸ä¸ªå
ç´ ï¼å¨åºåä¸ä»åååæ«æï¼å¦æè¯¥å
ç´ å¤§äºæ°å
ç´ ï¼åå°è¯¥å
ç´ ç§»å¨å°ä¸ä¸ä½ã
function insertionSort(arr) {
var len = arr.length;
var preIndex, current;
for (var i = 1; i < len; i++) {
preIndex = i - 1;
current = arr[i];
while (preIndex >= 0 && arr[preIndex] > current) {
arr[preIndex + 1] = arr[preIndex];
preIndex--;
}
arr[preIndex + 1] = current;
}
return arr;
}å¸å°æåºéæ©æåºç®åéæ©æåº O(n²)没轮è·å第ä¸ä¸ªæ°ä½ä¸ºæå¤§ææå°å¼ï¼å以该æ°ä¸å
¶ä»æ°å对æ¯ï¼å¯¹æ¯åè®°å½ä¸æå°ææå¤§å¼çå°æ ï¼æ¯è½®å¾ªç¯ç»æåå°è¯¥ä¸æ 䏿¯è½®ä¸ç第ä¸ä¸ªå
ç´ è¿è¡äº¤æ¢ï¼ä¾æ¬¡å¾ªç¯ç´å°ç»æ
function selectionSort(arr) {
var len = arr.length;
var minIndex, temp;
for (var i = 0; i < len - 1; i++) {
minIndex = i;
for (var j = i + 1; j < len; j++) {
if (arr[j] < arr[minIndex]) { // å¯»æ¾æå°çæ°
minIndex = j; // å°æå°æ°çç´¢å¼ä¿å
}
}
temp = arr[i];
arr[i] = arr[minIndex];
arr[minIndex] = temp;
}
return arr;
}
没轮è·å第ä¸ä¸ªæ°ä½ä¸ºæå¤§ææå°å¼ï¼å以该æ°ä¸å
¶ä»æ°å对æ¯ï¼å¯¹æ¯åè®°å½ä¸æå°ææå¤§å¼çå°æ ï¼æ¯è½®å¾ªç¯ç»æåå°è¯¥ä¸æ 䏿¯è½®ä¸ç第ä¸ä¸ªå
ç´ è¿è¡äº¤æ¢ï¼ä¾æ¬¡å¾ªç¯ç´å°ç»æ
function selectionSort(arr) {
var len = arr.length;
var minIndex, temp;
for (var i = 0; i < len - 1; i++) {
minIndex = i;
for (var j = i + 1; j < len; j++) {
if (arr[j] < arr[minIndex]) { // å¯»æ¾æå°çæ°
minIndex = j; // å°æå°æ°çç´¢å¼ä¿å
}
}
temp = arr[i];
arr[i] = arr[minIndex];
arr[minIndex] = temp;
}
return arr;
}å æåºå æåºå°±æ¯å©ç¨å 徿§è´¨å æ°ç»è¿è¡æåºï¼å¾
æåºå
ç´ åæ¾å¨ä¸ä¸ªæ°ç»Arr[0 â¦â¦n] ä¸ï¼å°Arrç¨ä¸é¢å®å
¨äºåæ æ¥è¡¨ç¤ºï¼æ°ç»ç¬¬ä¸ä¸ªå
ç´ å°±æ¯å®å
¨äºåæ çæ ¹ï¼åé¢ä¾æ¬¡æå±ä»å·¦è³å³ä¸ºï¼å·¦å©åï¼å³å©åï¼ä»»æèç¹Arr[ i ] çå·¦å©åæ¯Arr[ 2i+1 ]ï¼å³å©åæ¯ Arr[ 2i+2 ]
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å æåºå°±æ¯å©ç¨å 徿§è´¨å æ°ç»è¿è¡æåºï¼å¾
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çæå£°æï¼æ¬æä¸ºå主ååæç« ï¼è½¬è½½è¯·éä¸åæé¾æ¥ï¼è¥èç¹ä¸æ 为 n (n>1)左边åèç¹ä¸º 2*n +1å³è¾¹åèç¹ä¸º 2*n + 2ç¶èç¹ä¸º [n/2] ï¼åä¸åæ´ï¼å½å¹¶æåºäºè·¯å½å¹¶æåºå¤è·¯å½å¹¶æåºå½å¹¶æåºæ¯å»ºç«å¨å½å¹¶æä½ä¸çä¸ç§ææçæåºç®æ³ãè¯¥ç®æ³æ¯éç¨åæ²»æ³ï¼Divide and Conquerï¼çä¸ä¸ªé常å
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使æ¯ä¸ªååºåæåºï¼å使ååºåæ®µé´æåºãè¥å°ä¸¤ä¸ªæåºè¡¨åå¹¶æä¸ä¸ªæåºè¡¨ï¼ç§°ä¸º2-è·¯å½å¹¶ã
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¥æ°æ®çå½±åï¼ä½è¡¨ç°æ¯éæ©æåºå¥½çå¤ï¼å 为å§ç»é½æ¯O(nlognï¼çæ¶é´å¤æåº¦ã代价æ¯éè¦é¢å¤çå
å空é´ã
å½å¹¶æåºæ¯å»ºç«å¨å½å¹¶æä½ä¸çä¸ç§ææçæåºç®æ³ãè¯¥ç®æ³æ¯éç¨åæ²»æ³ï¼Divide and Conquerï¼çä¸ä¸ªé常å
¸åçåºç¨ãå°å·²æåºçååºååå¹¶ï¼å¾å°å®å
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使æ¯ä¸ªååºåæåºï¼å使ååºåæ®µé´æåºãè¥å°ä¸¤ä¸ªæåºè¡¨åå¹¶æä¸ä¸ªæåºè¡¨ï¼ç§°ä¸º2-è·¯å½å¹¶ã
å½å¹¶æåºæ¯ä¸ç§ç¨³å®çæåºæ¹æ³ãåéæ©æåºä¸æ ·ï¼å½å¹¶æåºçæ§è½ä¸åè¾å
¥æ°æ®çå½±åï¼ä½è¡¨ç°æ¯éæ©æåºå¥½çå¤ï¼å 为å§ç»é½æ¯O(nlognï¼çæ¶é´å¤æåº¦ã代价æ¯éè¦é¢å¤çå
å空é´ãéæ¯è¾æåºåºæ°æåºè®¡æ°æåºæ¡¶æåºé¾è¡¨é¾è¡¨éåºpublic class LinkedListReverse {
static class ListNode{
int data;
ListNode next;
public ListNode(int data){
this.data = data;
}
}
public static ListNode reverse(ListNode head){
if (head == null){
return null;
}
ListNode cur = head;
ListNode oldHead = null;
ListNode newHead = null;
while(cur != null){
oldHead = cur.next;
cur.next = newHead;
newHead = cur;
cur = oldHead;
}
return newHead;
}
public static void main(String[] args) {
// æµè¯
ListNode node1 = new ListNode(1);
ListNode node2 = new ListNode(2);
ListNode node3 = new ListNode(3);
node1.next = node2;
node2.next = node3;
ListNode head = new ListNode(0);
head = reverse(node1);
System.out.print(head.data+" "+head.next.data+" "+head.next.next.data);
}
}
---------------------
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çæå£°æï¼æ¬æä¸ºå主ååæç« ï¼è½¬è½½è¯·éä¸åæé¾æ¥ï¼
public class LinkedListReverse {
static class ListNode{
int data;
ListNode next;
public ListNode(int data){
this.data = data;
}
}
public static ListNode reverse(ListNode head){
if (head == null){
return null;
}
ListNode cur = head;
ListNode oldHead = null;
ListNode newHead = null;
while(cur != null){
oldHead = cur.next;
cur.next = newHead;
newHead = cur;
cur = oldHead;
}
return newHead;
}
public static void main(String[] args) {
// æµè¯
ListNode node1 = new ListNode(1);
ListNode node2 = new ListNode(2);
ListNode node3 = new ListNode(3);
node1.next = node2;
node2.next = node3;
ListNode head = new ListNode(0);
head = reverse(node1);
System.out.print(head.data+" "+head.next.data+" "+head.next.next.data);
}
}
---------------------
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