343. 整数拆分

function integerBreak(n: number): number {
    let dp = 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], dp[i - j] * j, (i - j) * j);
        }
    }

    return dp[n];
};

96. 不同的二叉搜索树

function numTrees(n: number): number {
    let dp = new Array(n + 1).fill(0);
    dp[0] = 1;
    dp[1] = 1;

    for (let i = 2; i <= n; i++) {
        for (let j = 1; j <= i; j++ ) {
            dp[i] += dp[j - 1] * dp[i - j];
        }
    }

    return dp[n];
};