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@ -600,35 +600,41 @@ public int JumpFloorII(int target) {
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}
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```
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### 数学式子推导
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### 数学推导
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跳上 n-1 级台阶,可以从 n-2 级跳 1 级上去,也可以从 n-3 级跳 2 级上去...,那么
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跳上 n-1 级台阶,可以从 n-2 级跳 1 级上去,也可以从 n-3 级跳 2 级上去...也可以从 0 级跳上去。那么
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```
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f(n-1) = f(n-2) + f(n-3) + ... + f(0) ①
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f(n-1) = f(n-2) + f(n-3) + ... + f(0)
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```
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同样,跳上 n 级台阶,可以从 n-1 级跳 1 级上去,也可以从 n-2 级跳 2 级上去...也可以从 0 级跳上去。那么
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同样,跳上 n 级台阶,可以从 n-1 级跳 1 级上去,也可以从 n-2 级跳 2 级上去... ,那么
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```
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f(n) = f(n-1) + f(n-2) + ... + f(0) ②
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f(n) = f(n-1) + f(n-2) + ... + f(0)
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```
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②-①:
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综上可得
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```
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f(n) - f(n-1) = f(n-1)
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```
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即
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```
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f(n) = 2*f(n-1)
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```
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所以 f(n) 是一个等比数列:
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```
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f(n) = 2^(n-1)
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```
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所以 f(n) 是一个等比数列
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```java
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```source-java
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public int JumpFloorII(int target) {
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return (int) Math.pow(2, target - 1);
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}
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```
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# 11. 旋转数组的最小数字
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[NowCoder](https://www.nowcoder.com/practice/9f3231a991af4f55b95579b44b7a01ba?tpId=13&tqId=11159&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking)
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@ -1477,7 +1477,7 @@ public class Client {
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```java
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public interface Subject {
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void resisterObserver(Observer o);
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void registerObserver(Observer o);
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void removeObserver(Observer o);
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@ -1504,7 +1504,7 @@ public class WeatherData implements Subject {
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}
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@Override
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public void resisterObserver(Observer o) {
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public void registerObserver(Observer o) {
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observers.add(o);
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}
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@ -1535,7 +1535,7 @@ public interface Observer {
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public class StatisticsDisplay implements Observer {
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public StatisticsDisplay(Subject weatherData) {
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weatherData.resisterObserver(this);
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weatherData.reisterObserver(this);
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}
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@Override
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@ -1549,7 +1549,7 @@ public class StatisticsDisplay implements Observer {
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public class CurrentConditionsDisplay implements Observer {
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public CurrentConditionsDisplay(Subject weatherData) {
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weatherData.resisterObserver(this);
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weatherData.registerObserver(this);
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}
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@Override
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@ -2558,9 +2558,9 @@ public class Client {
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remoteControl1.off();
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remoteControl1.tuneChannel();
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RemoteControl remoteControl2 = new ConcreteRemoteControl2(new Sony());
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remoteControl2.on();
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remoteControl2.off();
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remoteControl2.tuneChannel();
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remoteControl2.on();
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remoteControl2.off();
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remoteControl2.tuneChannel();
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}
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}
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```
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