Merge branch 'youngyangyang04:master' into master

problems/0045.跳跃游戏II.md

@@ -217,18 +217,26 @@ class Solution:
 ### Go
 ```Go
 func jump(nums []int) int {
-	dp:=make([]int ,len(nums))
-	dp[0]=0
+    dp := make([]int, len(nums))
+    dp[0] = 0//初始第一格跳跃数一定为0
 
-	for i:=1;i<len(nums);i++{
-		dp[i]=i
-		for j:=0;j<i;j++{
-			if nums[j]+j>i{
-				dp[i]=min(dp[j]+1,dp[i])
-			}
-		}
-	}
-	return dp[len(nums)-1]
+    for i := 1; i < len(nums); i++ {
+        dp[i] = i
+        for j := 0; j < i; j++ {
+            if nums[j] + j >= i {//nums[j]为起点,j为往右跳的覆盖范围,这行表示从j能跳到i
+                dp[i] = min(dp[j] + 1, dp[i])//更新最小能到i的跳跃次数
+            }
+        }
+    }
+    return dp[len(nums)-1]
+}
+
+func min(a, b int) int {
+    if a < b {
+        return a
+    } else {
+        return b 
+    }
 }
 ```
 

problems/0096.不同的二叉搜索树.md

@@ -227,7 +227,33 @@ const numTrees =(n) => {
 };
 ```
 
-C:
+TypeScript
+
+```typescript
+function numTrees(n: number): number {
+    /**
+        dp[i]: i个节点对应的种树
+        dp[0]: -1; 无意义；
+        dp[1]: 1;
+        ...
+        dp[i]: 2 * dp[i - 1] + 
+            (dp[1] * dp[i - 2] + dp[2] * dp[i - 3] + ... + dp[i - 2] * dp[1]); 从1加到i-2
+     */
+    const dp: number[] = [];
+    dp[0] = -1; // 表示无意义
+    dp[1] = 1;
+    for (let i = 2; i <= n; i++) {
+        dp[i] = 2 * dp[i - 1];
+        for (let j = 1, end = i - 1; j < end; j++) {
+            dp[i] += dp[j] * dp[end - j];
+        }
+    }
+    return dp[n];
+};
+```
+
+### C
+
 ```c
 //开辟dp数组
 int *initDP(int n) {

problems/0343.整数拆分.md

@@ -274,7 +274,33 @@ var integerBreak = function(n) {
 };
 ```
 
-C:
+### TypeScript
+
+```typescript
+function integerBreak(n: number): number {
+    /**
+        dp[i]: i对应的最大乘积
+        dp[2]: 1;
+        ...
+        dp[i]: max(
+            1 * dp[i - 1], 1 * (i - 1),
+            2 * dp[i - 2], 2 * (i - 2),
+            ..., (i - 2) * dp[2], (i - 2) * 2
+        );
+     */
+    const dp: number[] = new Array(n + 1).fill(0);
+    dp[2] = 1;
+    for (let i = 3; i <= n; i++) {
+        for (let j = 1; j <= i - 2; j++) {
+            dp[i] = Math.max(dp[i], j * dp[i - j], j * (i - j));
+        }
+    }
+    return dp[n];
+};
+```
+
+### C
+
 ```c
 //初始化DP数组
 int *initDP(int num) {

problems/背包理论基础01背包-1.md

@@ -432,5 +432,47 @@ function test () {
 test();
 ```
 
+### TypeScript
+
+```typescript
+function testWeightBagProblem(
+  weight: number[],
+  value: number[],
+  size: number
+): number {
+  /**
+   * dp[i][j]: 前i个物品，背包容量为j，能获得的最大价值
+   * dp[0][*]: u=weight[0],u之前为0，u之后（含u）为value[0]
+   * dp[*][0]: 0
+   * ...
+   * dp[i][j]: max(dp[i-1][j], dp[i-1][j-weight[i]]+value[i]);
+   */
+  const goodsNum: number = weight.length;
+  const dp: number[][] = new Array(goodsNum)
+    .fill(0)
+    .map((_) => new Array(size + 1).fill(0));
+  for (let i = weight[0]; i <= size; i++) {
+    dp[0][i] = value[0];
+  }
+  for (let i = 1; i < goodsNum; i++) {
+    for (let j = 1; j <= size; j++) {
+      if (j < weight[i]) {
+        dp[i][j] = dp[i - 1][j];
+      } else {
+        dp[i][j] = Math.max(dp[i - 1][j], dp[i - 1][j - weight[i]] + value[i]);
+      }
+    }
+  }
+  return dp[goodsNum - 1][size];
+}
+// test
+const weight = [1, 3, 4];
+const value = [15, 20, 30];
+const size = 4;
+console.log(testWeightBagProblem(weight, value, size));
+```
+
+
+
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