Class Solution
java.lang.Object
g2301_2400.s2400_number_of_ways_to_reach_a_position_after_exactly_k_steps.Solution
2400 - Number of Ways to Reach a Position After Exactly k Steps\.
Medium
You are given two **positive** integers `startPos` and `endPos`. Initially, you are standing at position `startPos` on an **infinite** number line. With one step, you can move either one position to the left, or one position to the right.
Given a positive integer `k`, return _the number of **different** ways to reach the position_ `endPos` _starting from_ `startPos`_, such that you perform **exactly**_ `k` _steps_. Since the answer may be very large, return it **modulo**
109 + 7.
Two ways are considered different if the order of the steps made is not exactly the same.
**Note** that the number line includes negative integers.
**Example 1:**
**Input:** startPos = 1, endPos = 2, k = 3
**Output:** 3
**Explanation:** We can reach position 2 from 1 in exactly 3 steps in three ways:
- 1 -> 2 -> 3 -> 2.
- 1 -> 2 -> 1 -> 2.
- 1 -> 0 -> 1 -> 2.
It can be proven that no other way is possible, so we return 3.
**Example 2:**
**Input:** startPos = 2, endPos = 5, k = 10
**Output:** 0
**Explanation:** It is impossible to reach position 5 from position 2 in exactly 10 steps.
**Constraints:**
* `1 <= startPos, endPos, k <= 1000`-
Constructor Summary
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Method Summary
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Constructor Details
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Solution
public Solution()
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Method Details
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numberOfWays
public int numberOfWays(int startPos, int endPos, int k)
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