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g2601_2700.s2629_function_composition.readme.md Maven / Gradle / Ivy

2629\. Function Composition

Easy

Given an array of functions [f1, f2, f3, ..., fn], return a new function `fn` that is the **function composition** of the array of functions.

The **function composition** of `[f(x), g(x), h(x)]` is `fn(x) = f(g(h(x)))`.

The **function composition** of an empty list of functions is the **identity function** `f(x) = x`.

You may assume each function in the array accepts one integer as input and returns one integer as output.

**Example 1:**

**Input:** functions = [x => x + 1, x => x * x, x => 2 * x], x = 4

**Output:** 65

**Explanation:** 

Evaluating from right to left ... 

Starting with x = 4. 

2 * (4) = 8 

(8) * (8) = 64 

(64) + 1 = 65

**Example 2:**

**Input:** functions = [x => 10 * x, x => 10 * x, x => 10 * x], x = 1

**Output:** 1000

**Explanation:** 

Evaluating from right to left ... 

10 * (1) = 10 

10 * (10) = 100 

10 * (100) = 1000

**Example 3:**

**Input:** functions = [], x = 42

**Output:** 42

**Explanation:** The composition of zero functions is the identity function

**Constraints:**

*   `-1000 <= x <= 1000`
*   `0 <= functions.length <= 1000`
*   `all functions accept and return a single integer`