0416.分割等和子集 新增 typescript 解法代码

problems/0416.分割等和子集.md

@@ -416,7 +416,24 @@ var canPartition = function(nums) {
 };
 ```
 
+TypeScript:
 
+```ts
+function canPartition(nums: number[]): boolean {
+    const sum: number = nums.reduce((a: number, b: number): number => a + b);
+    if (sum % 2 === 1) return false;
+    const target: number = sum / 2;
+    // dp[j]表示容量（总数和）为j的背包所能装下的数（下标[0, i]之间任意取）的总和（<= 容量）的最大值
+    const dp: number[] = new Array(target + 1).fill(0);
+    const n: number = nums.length;
+    for (let i: number = 0; i < n; i++) {
+        for (let j: number = target; j >= nums[i]; j--) {
+            dp[j] = Math.max(dp[j], dp[j - nums[i]] + nums[i]);
+        }
+    }
+    return dp[target] === target;
+};
+```
 
 
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