|
| 1 | +--- |
| 2 | +id: check-if-it-is-a-straight-line |
| 3 | +title: 1232. Check If It Is a Straight Line |
| 4 | +sidebar_label: 1232. Check If It Is a Straight Line |
| 5 | +tags: |
| 6 | +- Array |
| 7 | +- Maths |
| 8 | +- Geometry |
| 9 | + |
| 10 | +description: "This is a solution to the Check If It Is a Straight Line problem on LeetCode." |
| 11 | +--- |
| 12 | + |
| 13 | +## Problem Description |
| 14 | +You are given an array coordinates, coordinates[i] = [x, y], where [x, y] represents the coordinate of a point. Check if these points make a straight line in the XY plane. |
| 15 | + |
| 16 | +### Examples |
| 17 | + |
| 18 | +**Example 1:** |
| 19 | + |
| 20 | +``` |
| 21 | +Input: coordinates = [[1,2],[2,3],[3,4],[4,5],[5,6],[6,7]] |
| 22 | +Output: true |
| 23 | +``` |
| 24 | + |
| 25 | +**Example 2:** |
| 26 | + |
| 27 | +``` |
| 28 | +Input: coordinates = [[1,1],[2,2],[3,4],[4,5],[5,6],[7,7]] |
| 29 | +Output: false |
| 30 | +``` |
| 31 | + |
| 32 | + |
| 33 | +### Constraints |
| 34 | +- `2 <= coordinates.length <= 1000` |
| 35 | +- `coordinates[i].length == 2` |
| 36 | +- `-10^4 <= coordinates[i][0], coordinates[i][1] <= 10^4` |
| 37 | +- `coordinates contains no duplicate point.` |
| 38 | + |
| 39 | +## Solution for 1232. Check If It Is a Straight Line Problem |
| 40 | +### Approach |
| 41 | +1. **Calculate the Initial Slope**: |
| 42 | + - Compute the difference in the `y` values (`diff_y`) and the difference in the `x` values (`diff_x`) between the first two points. |
| 43 | + |
| 44 | +2. **Iterate through the Points**: |
| 45 | + - For each subsequent point, compute the product of the initial slope differences with the current point's differences. |
| 46 | + - If at any point the calculated products do not match, the points do not lie on a straight line. |
| 47 | + |
| 48 | +3. **Return the Result**: |
| 49 | + - If all points satisfy the condition, return `true`. Otherwise, return `false`. |
| 50 | + |
| 51 | +<Tabs> |
| 52 | + <TabItem value="Solution" label="Solution"> |
| 53 | + |
| 54 | + #### Implementation |
| 55 | + ```jsx live |
| 56 | + function Solution(arr) { |
| 57 | + function checkStraightLine(coordinates) { |
| 58 | + const diff_y = (coordinates[1][1] - coordinates[0][1]); |
| 59 | + const diff_x = (coordinates[1][0] - coordinates[0][0]); |
| 60 | + for (let i = 2; i < coordinates.length; i++) { |
| 61 | + if (diff_y * (coordinates[i][0] - coordinates[i-1][0]) !== diff_x * (coordinates[i][1] - coordinates[i-1][1])) { |
| 62 | + return false; |
| 63 | + } |
| 64 | + } |
| 65 | + return true; |
| 66 | + } |
| 67 | + const input = [[1,2],[2,3],[3,4],[4,5],[5,6],[6,7]] |
| 68 | + const output = checkStraightLine(input) |
| 69 | + return ( |
| 70 | + <div> |
| 71 | + <p> |
| 72 | + <b>Input: </b> |
| 73 | + {JSON.stringify(input)} |
| 74 | + </p> |
| 75 | + <p> |
| 76 | + <b>Output:</b> {output.toString()} |
| 77 | + </p> |
| 78 | + </div> |
| 79 | + ); |
| 80 | + } |
| 81 | + ``` |
| 82 | + |
| 83 | + #### Complexity Analysis |
| 84 | + |
| 85 | + - Time Complexity: $ O(N) $ |
| 86 | + - Space Complexity: $ O(1)$ |
| 87 | + |
| 88 | + ## Code in Different Languages |
| 89 | + <Tabs> |
| 90 | + <TabItem value="JavaScript" label="JavaScript"> |
| 91 | + <SolutionAuthor name="@hiteshgahanolia"/> |
| 92 | + ```javascript |
| 93 | + function checkStraightLine(coordinates) { |
| 94 | + const diff_y = (coordinates[1][1] - coordinates[0][1]); |
| 95 | + const diff_x = (coordinates[1][0] - coordinates[0][0]); |
| 96 | + for (let i = 2; i < coordinates.length; i++) { |
| 97 | + if (diff_y * (coordinates[i][0] - coordinates[i-1][0]) !== diff_x * (coordinates[i][1] - coordinates[i-1][1])) { |
| 98 | + return false; |
| 99 | + } |
| 100 | + } |
| 101 | + return true; |
| 102 | + } |
| 103 | + ``` |
| 104 | + |
| 105 | + </TabItem> |
| 106 | + <TabItem value="TypeScript" label="TypeScript"> |
| 107 | + <SolutionAuthor name="@hiteshgahanolia"/> |
| 108 | + ```typescript |
| 109 | + class Solution { |
| 110 | + checkStraightLine(coordinates: number[][]): boolean { |
| 111 | + const diff_y = (coordinates[1][1] - coordinates[0][1]); |
| 112 | + const diff_x = (coordinates[1][0] - coordinates[0][0]); |
| 113 | + for (let i = 2; i < coordinates.length; i++) { |
| 114 | + if (diff_y * (coordinates[i][0] - coordinates[i-1][0]) !== diff_x * (coordinates[i][1] - coordinates[i-1][1])) { |
| 115 | + return false; |
| 116 | + } |
| 117 | + } |
| 118 | + return true; |
| 119 | + } |
| 120 | +} |
| 121 | +
|
| 122 | + ``` |
| 123 | + </TabItem> |
| 124 | + <TabItem value="Python" label="Python"> |
| 125 | + <SolutionAuthor name="@hiteshgahanolia"/> |
| 126 | + ```python |
| 127 | + class Solution: |
| 128 | + def checkStraightLine(self, coordinates: List[List[int]]) -> bool: |
| 129 | + diff_y = (coordinates[1][1] - coordinates[0][1]) |
| 130 | + diff_x = (coordinates[1][0] - coordinates[0][0]) |
| 131 | + for i in range(2, len(coordinates)): |
| 132 | + if diff_y * (coordinates[i][0] - coordinates[i-1][0]) != diff_x * (coordinates[i][1] - coordinates[i-1][1]): |
| 133 | + return False |
| 134 | + return True |
| 135 | +
|
| 136 | + ``` |
| 137 | + |
| 138 | + </TabItem> |
| 139 | + <TabItem value="Java" label="Java"> |
| 140 | + <SolutionAuthor name="@hiteshgahanolia"/> |
| 141 | + ```java |
| 142 | +
|
| 143 | + import java.util.List; |
| 144 | +
|
| 145 | +class Solution { |
| 146 | + public boolean checkStraightLine(List<int[]> coordinates) { |
| 147 | + int diff_y = (coordinates.get(1)[1] - coordinates.get(0)[1]); |
| 148 | + int diff_x = (coordinates.get(1)[0] - coordinates.get(0)[0]); |
| 149 | + for (int i = 2; i < coordinates.size(); i++) { |
| 150 | + if (diff_y * (coordinates.get(i)[0] - coordinates.get(i-1)[0]) != diff_x * (coordinates.get(i)[1] - coordinates.get(i-1)[1])) { |
| 151 | + return false; |
| 152 | + } |
| 153 | + } |
| 154 | + return true; |
| 155 | + } |
| 156 | +} |
| 157 | +
|
| 158 | + ``` |
| 159 | + |
| 160 | + </TabItem> |
| 161 | + <TabItem value="C++" label="C++"> |
| 162 | + <SolutionAuthor name="@hiteshgahanolia"/> |
| 163 | + ```cpp |
| 164 | + class Solution { |
| 165 | +public: |
| 166 | + bool checkStraightLine(vector<vector<int>>& coordinates) { |
| 167 | + int diff_y = (coordinates[1][1] - coordinates[0][1]); |
| 168 | + int diff_x = (coordinates[1][0] - coordinates[0][0]); |
| 169 | + for(int i=2; i<coordinates.size(); i++) |
| 170 | + { |
| 171 | + if(diff_y*(coordinates[i][0] - coordinates[i-1][0]) != diff_x*(coordinates[i][1] - coordinates[i-1][1])) |
| 172 | + return false; |
| 173 | + } |
| 174 | + return true; |
| 175 | + } |
| 176 | +}; |
| 177 | + ``` |
| 178 | +</TabItem> |
| 179 | +</Tabs> |
| 180 | + |
| 181 | + </TabItem> |
| 182 | +</Tabs> |
| 183 | + |
| 184 | +## References |
| 185 | + |
| 186 | +- **LeetCode Problem**: [ Check If It Is a Straight Line](https://leetcode.com/problems/check-if-it-is-a-straight-line/) |
| 187 | + |
| 188 | +- **Solution Link**: [LeetCode Solution](https://leetcode.com/problems/check-if-it-is-a-straight-line/) |
| 189 | + |
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