Create 3235-check-if-the-rectangle-corner-is-reachable.js

Author: everthis

3235-check-if-the-rectangle-corner-is-reachable.js

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+/**
+ * @param {number} X
+ * @param {number} Y
+ * @param {number[][]} circles
+ * @return {boolean}
+ */
+var canReachCorner = function(X, Y, circles) {
+  let width = X, height = Y
+  const numCircles = circles.length
+  const circleInfo = circles.map((circle) => [circle[0], circle[1], circle[2]])
+  const adjacencyList = Array.from({ length: numCircles + 4 }, () => [])
+
+  for (let i = 0; i < numCircles; i++) {
+    const [x, y, radius] = circleInfo[i]
+
+    if (x - radius <= 0) {
+      adjacencyList[i].push(numCircles)
+      adjacencyList[numCircles].push(i)
+    }
+    if (width - x <= radius) {
+      adjacencyList[i].push(numCircles + 2)
+      adjacencyList[numCircles + 2].push(i)
+    }
+    if (y - radius <= 0) {
+      adjacencyList[i].push(numCircles + 1)
+      adjacencyList[numCircles + 1].push(i)
+    }
+    if (height - y <= radius) {
+      adjacencyList[i].push(numCircles + 3)
+      adjacencyList[numCircles + 3].push(i)
+    }
+
+    for (let j = i + 1; j < numCircles; j++) {
+      const [x2, y2, radius2] = circleInfo[j]
+      const dx = x - x2
+      const dy = y - y2
+      const distanceSquared = dx * dx + dy * dy
+      const radiusSum = radius + radius2
+
+      if (distanceSquared <= radiusSum * radiusSum) {
+        adjacencyList[i].push(j)
+        adjacencyList[j].push(i)
+      }
+    }
+  }
+
+  function bfs(startNode, targetNode1, targetNode2) {
+    const queue = [startNode]
+    const visited = Array(numCircles + 4).fill(0)
+    visited[startNode] = 1
+
+    while (queue.length > 0) {
+      const currentNode = queue.shift()
+      for (const neighbor of adjacencyList[currentNode]) {
+        if (!visited[neighbor]) {
+          visited[neighbor] = 1
+          queue.push(neighbor)
+        }
+      }
+    }
+    return visited[targetNode1] || visited[targetNode2]
+  }
+
+  return !(
+    bfs(numCircles, numCircles + 1, numCircles + 2) ||
+    bfs(numCircles + 3, numCircles + 2, numCircles + 1)
+  )
+};