836-RectangleOverlap.go

package main

// 836. Rectangle Overlap
// An axis-aligned rectangle is represented as a list [x1, y1, x2, y2], 
// where (x1, y1) is the coordinate of its bottom-left corner, and (x2, y2) is the coordinate of its top-right corner. 
// Its top and bottom edges are parallel to the X-axis, and its left and right edges are parallel to the Y-axis.

// Two rectangles overlap if the area of their intersection is positive. 
// To be clear, two rectangles that only touch at the corner or edges do not overlap.

// Given two axis-aligned rectangles rec1 and rec2, return true if they overlap, otherwise return false.

// Example 1:
// Input: rec1 = [0,0,2,2], rec2 = [1,1,3,3]
// Output: true

// Example 2:
// Input: rec1 = [0,0,1,1], rec2 = [1,0,2,1]
// Output: false

// Example 3:
// Input: rec1 = [0,0,1,1], rec2 = [2,2,3,3]
// Output: false

// Constraints:
//     rec1.length == 4
//     rec2.length == 4
//     -10^9 <= rec1[i], rec2[i] <= 10^9
//     rec1 and rec2 represent a valid rectangle with a non-zero area.

import "fmt"

func isRectangleOverlap(rec1 []int, rec2 []int) bool {
    min := func (x, y int) int { if x < y { return x; }; return y; }
    max := func (x, y int) int { if x > y { return x; }; return y; }
    return (min(rec1[2], rec2[2]) > max(rec1[0], rec2[0])) &&  (min(rec1[3], rec2[3]) > max(rec1[1], rec2[1]))
}

func main() {
    // Example 1:
    // Input: rec1 = [0,0,2,2], rec2 = [1,1,3,3]
    // Output: true
    fmt.Println(isRectangleOverlap([]int{0,0,2,2}, []int{1,1,3,3})) // true
    // Example 2:
    // Input: rec1 = [0,0,1,1], rec2 = [1,0,2,1]
    // Output: false
    fmt.Println(isRectangleOverlap([]int{0,0,1,1}, []int{1,0,2,1})) // false
    // Example 3:
    // Input: rec1 = [0,0,1,1], rec2 = [2,2,3,3]
    // Output: false
    fmt.Println(isRectangleOverlap([]int{0,0,1,1}, []int{2,2,3,3})) // false
}