diff --git a/problems/0494.目标和.md b/problems/0494.目标和.md index 8ce1f6f1..0cdae393 100644 --- a/problems/0494.目标和.md +++ b/problems/0494.目标和.md @@ -351,22 +351,26 @@ const findTargetSumWays = (nums, target) => { }; ``` -TypeScript: -```typescript +TypeScript: + +```ts function findTargetSumWays(nums: number[], target: number): number { - const sum: number = nums.reduce((pre, cur) => pre + cur); - if (Math.abs(target) > sum) return 0; - if ((target + sum) % 2 === 1) return 0; - const bagSize: number = (target + sum) / 2; - const dp: number[] = new Array(bagSize + 1).fill(0); - dp[0] = 1; - for (let i = 0; i < nums.length; i++) { - for (let j = bagSize; j >= nums[i]; j--) { + // 把数组分成两个组合left, right.left + right = sum, left - right = target. + const sum: number = nums.reduce((a: number, b: number): number => a + b); + if ((sum + target) % 2 || Math.abs(target) > sum) return 0; + const left: number = (sum + target) / 2; + + // 将问题转化为装满容量为left的背包有多少种方法 + // dp[i]表示装满容量为i的背包有多少种方法 + const dp: number[] = new Array(left + 1).fill(0); + dp[0] = 1; // 装满容量为0的背包有1种方法(什么也不装) + for (let i: number = 0; i < nums.length; i++) { + for (let j: number = left; j >= nums[i]; j--) { dp[j] += dp[j - nums[i]]; } } - return dp[bagSize]; + return dp[left]; }; ```