Input: xCorner = 3, yCorner = 4, circles = [[2,1,1]]
\n\nOutput: true
\n\nExplanation:
\n\n![\"\"](\"https://assets.leetcode.com/uploads/2024/05/18/example2circle1.png\")
The black curve shows a possible path between (0, 0) and (3, 4).
You are given two positive integers xCorner and yCorner, and a 2D array circles, where circles[i] = [xi, yi, ri] denotes a circle with center at (xi, yi) and radius ri.
There is a rectangle in the coordinate plane with its bottom left corner at the origin and top right corner at the coordinate (xCorner, yCorner). You need to check whether there is a path from the bottom left corner to the top right corner such that the entire path lies inside the rectangle, does not touch or lie inside any circle, and touches the rectangle only at the two corners.
Return true if such a path exists, and false otherwise.
\n
Example 1:
\n\nInput: xCorner = 3, yCorner = 4, circles = [[2,1,1]]
\n\nOutput: true
\n\nExplanation:
\n\n
The black curve shows a possible path between (0, 0) and (3, 4).
Example 2:
\n\nInput: xCorner = 3, yCorner = 3, circles = [[1,1,2]]
\n\nOutput: false
\n\nExplanation:
\n\n![\"\"](\"https://assets.leetcode.com/uploads/2024/05/18/example1circle.png\")
No path exists from (0, 0) to (3, 3).
Example 3:
\n\nInput: xCorner = 3, yCorner = 3, circles = [[2,1,1],[1,2,1]]
\n\nOutput: false
\n\nExplanation:
\n\n![\"\"](\"https://assets.leetcode.com/uploads/2024/05/18/example0circle.png\")
No path exists from (0, 0) to (3, 3).
Example 4:
\n\nInput: xCorner = 4, yCorner = 4, circles = [[5,5,1]]
\n\nOutput: true
\n\nExplanation:
\n\n![\"\"](\"https://assets.leetcode.com/uploads/2024/08/04/rectangles.png\")
\n
Constraints:
\n\n3 <= xCorner, yCorner <= 1091 <= circles.length <= 1000circles[i].length == 31 <= xi, yi, ri <= 109给你两个正整数 xCorner 和 yCorner 和一个二维整数数组 circles ，其中 circles[i] = [xi, yi, ri] 表示一个圆心在 (xi, yi) 半径为 ri 的圆。
坐标平面内有一个左下角在原点，右上角在 (xCorner, yCorner) 的矩形。你需要判断是否存在一条从左下角到右上角的路径满足：路径 完全 在矩形内部，不会 触碰或者经过 任何 圆的内部和边界，同时 只 在起点和终点接触到矩形。
如果存在这样的路径，请你返回 true ，否则返回 false 。
\n\n
示例 1：
\n\n输入：X = 3, Y = 4, circles = [[2,1,1]]
\n\n输出：true
\n\n解释：
\n\n
黑色曲线表示一条从 (0, 0) 到 (3, 4) 的路径。
示例 2：
\n\n输入：X = 3, Y = 3, circles = [[1,1,2]]
\n\n输出：false
\n\n解释：
\n\n
不存在从 (0, 0) 到 (3, 3) 的路径。
示例 3：
\n\n输入：X = 3, Y = 3, circles = [[2,1,1],[1,2,1]]
\n\n输出：false
\n\n解释：
\n\n
不存在从 (0, 0) 到 (3, 3) 的路径。
示例 4：
\n\n输入：X = 4, Y = 4, circles = [[5,5,1]]
\n\n输出：true
\n\n解释：
\n\n
\n\n
提示：
\n\n3 <= xCorner, yCorner <= 1091 <= circles.length <= 1000circles[i].length == 31 <= xi, yi, ri <= 109n + 4 vertices.",
"Vertices 0 to n - 1 represent the circles, vertex n represents upper edge, vertex n + 1 represents right edge, vertex n + 2 represents lower edge, and vertex n + 3 represents left edge.",
"Add an edge between these vertices if they intersect or touch.",
"Answer will be false when any of two sides left-right, left-bottom, right-top or top-bottom are reachable using the edges."
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