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76
notes/算法.md
76
notes/算法.md
@ -630,18 +630,18 @@ public class MergeSort {
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### 2. <20>Զ<EFBFBD><D4B6><EFBFBD><EFBFBD>¹鲢<C2B9><E9B2A2><EFBFBD><EFBFBD>
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### 2. <20>Զ<EFBFBD><D4B6><EFBFBD><EFBFBD>¹鲢<C2B9><E9B2A2><EFBFBD><EFBFBD>
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```java
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```java
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public static void sort(Comparable[] a) {
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public static void sort(Comparable[] a) {
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aux = new Comparable[a.length];
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aux = new Comparable[a.length];
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sort(a, 0, a.length - 1);
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sort(a, 0, a.length - 1);
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}
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}
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private static void sort(Comparable[] a, int lo, int hi) {
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private static void sort(Comparable[] a, int lo, int hi) {
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if (hi <= lo) return;
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if (hi <= lo) return;
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int mid = lo + (hi - lo) / 2;
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int mid = lo + (hi - lo) / 2;
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sort(a, lo, mid);
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sort(a, lo, mid);
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sort(a, mid + 1, hi);
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sort(a, mid + 1, hi);
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merge(a, lo, mid, hi);
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merge(a, lo, mid, hi);
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}
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}
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```
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```
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@ -659,15 +659,15 @@ public class MergeSort {
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```java
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```java
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public static void busort(Comparable[] a) {
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public static void busort(Comparable[] a) {
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int N = a.length;
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int N = a.length;
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aux = new Comparable[N];
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aux = new Comparable[N];
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for (int sz = 1; sz < N; sz += sz) {
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for (int sz = 1; sz < N; sz += sz) {
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for (int lo = 0; lo < N - sz; lo += sz + sz) {
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for (int lo = 0; lo < N - sz; lo += sz + sz) {
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merge(a, lo, lo + sz - 1, Math.min(lo + sz + sz - 1, N - 1));
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merge(a, lo, lo + sz - 1, Math.min(lo + sz + sz - 1, N - 1));
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}
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}
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}
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}
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}
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}
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```
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```
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## <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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## <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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@ -701,18 +701,18 @@ public class QuickSort {
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```java
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```java
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private static int partition(Comparable[] a, int lo, int hi) {
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private static int partition(Comparable[] a, int lo, int hi) {
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int i = lo, j = hi + 1;
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int i = lo, j = hi + 1;
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Comparable v = a[lo];
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Comparable v = a[lo];
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while (true) {
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while (true) {
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while (less(a[++i], v)) if (i == hi) break;
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while (less(a[++i], v)) if (i == hi) break;
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while (less(v, a[--j])) if (j == lo) break;
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while (less(v, a[--j])) if (j == lo) break;
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if (i >= j) break;
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if (i >= j) break;
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exch(a, i, j);
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exch(a, i, j);
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}
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exch(a, lo, j);
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return j;
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}
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}
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exch(a, lo, j);
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return j;
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}
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```
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```
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### 3. <20><><EFBFBD>ܷ<EFBFBD><DCB7><EFBFBD>
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### 3. <20><><EFBFBD>ܷ<EFBFBD><DCB7><EFBFBD>
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@ -904,16 +904,16 @@ Java ϵͳ
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<EFBFBD><EFBFBD><EFBFBD>㷨<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ģ<EFBFBD><EFBFBD><EFBFBD>Ϊÿ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ý<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֣<EFBFBD><EFBFBD><EFBFBD>ô<EFBFBD>Ƚϵ<EFBFBD><EFBFBD>ܴ<EFBFBD><EFBFBD><EFBFBD>Ϊ (N+N/2+N/4+..)<29><>ֱ<EFBFBD><D6B1><EFBFBD>ҵ<EFBFBD><D2B5><EFBFBD> k <20><>Ԫ<EFBFBD>أ<EFBFBD><D8A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȻС<C8BB><D0A1> 2N<32><4E>
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<EFBFBD><EFBFBD><EFBFBD>㷨<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ģ<EFBFBD><EFBFBD><EFBFBD>Ϊÿ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ý<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֣<EFBFBD><EFBFBD><EFBFBD>ô<EFBFBD>Ƚϵ<EFBFBD><EFBFBD>ܴ<EFBFBD><EFBFBD><EFBFBD>Ϊ (N+N/2+N/4+..)<29><>ֱ<EFBFBD><D6B1><EFBFBD>ҵ<EFBFBD><D2B5><EFBFBD> k <20><>Ԫ<EFBFBD>أ<EFBFBD><D8A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȻС<C8BB><D0A1> 2N<32><4E>
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```java
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```java
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public static Comparable select(Comparable[] a, int k) {
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public static Comparable select(Comparable[] a, int k) {
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int lo = 0, hi = a.length - 1;
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int lo = 0, hi = a.length - 1;
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while (hi > lo) {
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while (hi > lo) {
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int j = partion(a, lo, hi);
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int j = partion(a, lo, hi);
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if (j == k) return a[k];
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if (j == k) return a[k];
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else if (j > k) hi = j - 1;
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else if (j > k) hi = j - 1;
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else lo = j + 1;
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else lo = j + 1;
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}
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return a[k];
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}
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}
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return a[k];
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}
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```
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```
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# <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD>
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# <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD>
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