# 1779. Find Nearest Point That Has the Same X or Y Coordinate

## Description

You are given two integers, x and y, which represent your current location on a Cartesian grid: (x, y). You are also given an array points where each points[i] = [ai, bi] represents that a point exists at (ai, bi). A point is valid if it shares the same x-coordinate or the same y-coordinate as your location.

Return the index (0-indexed) of the valid point with the smallest Manhattan distance from your current location. If there are multiple, return the valid point with the smallest index. If there are no valid points, return -1.

The Manhattan distance between two points (x1, y1) and (x2, y2) is abs(x1 - x2) + abs(y1 - y2).

Example 1:

Input: x = 3, y = 4, points = [[1,2],[3,1],[2,4],[2,3],[4,4]]
Output: 2
Explanation: Of all the points, only [3,1], [2,4] and [4,4] are valid. Of the valid points, [2,4] and [4,4] have the smallest Manhattan distance from your current location, with a distance of 1. [2,4] has the smallest index, so return 2.

Example 2:

Input: x = 3, y = 4, points = [[3,4]]
Output: 0
Explanation: The answer is allowed to be on the same location as your current location.

Example 3:

Input: x = 3, y = 4, points = [[2,3]]
Output: -1
Explanation: There are no valid points.

Constraints:

• 1 <= points.length <= 104
• points[i].length == 2
• 1 <= x, y, ai, bi <= 104

## Solutions

• class Solution {
public int nearestValidPoint(int x, int y, int[][] points) {
int ans = -1, mi = 1000000;
for (int i = 0; i < points.length; ++i) {
int a = points[i][0], b = points[i][1];
if (a == x || b == y) {
int d = Math.abs(a - x) + Math.abs(b - y);
if (d < mi) {
mi = d;
ans = i;
}
}
}
return ans;
}
}

• class Solution {
public:
int nearestValidPoint(int x, int y, vector<vector<int>>& points) {
int ans = -1, mi = 1e6;
for (int i = 0; i < points.size(); ++i) {
int a = points[i][0], b = points[i][1];
if (a == x || b == y) {
int d = abs(a - x) + abs(b - y);
if (d < mi) {
mi = d;
ans = i;
}
}
}
return ans;
}
};

• class Solution:
def nearestValidPoint(self, x: int, y: int, points: List[List[int]]) -> int:
ans, mi = -1, inf
for i, (a, b) in enumerate(points):
if a == x or b == y:
d = abs(a - x) + abs(b - y)
if mi > d:
ans, mi = i, d
return ans


• func nearestValidPoint(x int, y int, points [][]int) int {
ans, mi := -1, 1000000
for i, p := range points {
a, b := p[0], p[1]
if a == x || b == y {
d := abs(a-x) + abs(b-y)
if d < mi {
ans, mi = i, d
}
}
}
return ans
}

func abs(x int) int {
if x < 0 {
return -x
}
return x
}

• function nearestValidPoint(x: number, y: number, points: number[][]): number {
let res = -1;
let midDif = Infinity;
points.forEach(([px, py], i) => {
if (px != x && py != y) {
return;
}
const dif = Math.abs(px - x) + Math.abs(py - y);
if (dif < midDif) {
midDif = dif;
res = i;
}
});
return res;
}


• impl Solution {
pub fn nearest_valid_point(x: i32, y: i32, points: Vec<Vec<i32>>) -> i32 {
let n = points.len();
let mut min_dif = i32::MAX;
let mut res = -1;
for i in 0..n {
let (p_x, p_y) = (points[i][0], points[i][1]);
if p_x != x && p_y != y {
continue;
}
let dif = (p_x - x).abs() + (p_y - y).abs();
if dif < min_dif {
min_dif = dif;
res = i as i32;
}
}
res
}
}