feat: add solutions to lc problem: No.3235 (#3703)

No.3235.Check if the Rectangle Corner Is Reachable

Author: yanglbme

solution/3200-3299/3235.Check if the Rectangle Corner Is Reachable/README.md

@@ -109,25 +109,311 @@ tags:
 #### Python3
 
 ```python
-
+class Solution:
+    def canReachCorner(
+        self, xCorner: int, yCorner: int, circles: List[List[int]]
+    ) -> bool:
+        def in_circle(x: int, y: int, cx: int, cy: int, r: int) -> int:
+            return (x - cx) ** 2 + (y - cy) ** 2 <= r**2
+
+        def cross_left_top(cx: int, cy: int, r: int) -> bool:
+            a = abs(cx) <= r and 0 <= cy <= yCorner
+            b = abs(cy - yCorner) <= r and 0 <= cx <= xCorner
+            return a or b
+
+        def cross_right_bottom(cx: int, cy: int, r: int) -> bool:
+            a = abs(cx - xCorner) <= r and 0 <= cy <= yCorner
+            b = abs(cy) <= r and 0 <= cx <= xCorner
+            return a or b
+
+        def dfs(i: int) -> bool:
+            x1, y1, r1 = circles[i]
+            if cross_right_bottom(x1, y1, r1):
+                return True
+            vis[i] = True
+            for j, (x2, y2, r2) in enumerate(circles):
+                if vis[j] or not ((x1 - x2) ** 2 + (y1 - y2) ** 2 <= (r1 + r2) ** 2):
+                    continue
+                if (
+                    (x1 * r2 + x2 * r1 < (r1 + r2) * xCorner)
+                    and (y1 * r2 + y2 * r1 < (r1 + r2) * yCorner)
+                    and dfs(j)
+                ):
+                    return True
+            return False
+
+        vis = [False] * len(circles)
+        for i, (x, y, r) in enumerate(circles):
+            if in_circle(0, 0, x, y, r) or in_circle(xCorner, yCorner, x, y, r):
+                return False
+            if (not vis[i]) and cross_left_top(x, y, r) and dfs(i):
+                return False
+        return True
 ```
 
 #### Java
 
 ```java
-
+class Solution {
+    private int[][] circles;
+    private int xCorner, yCorner;
+    private boolean[] vis;
+
+    public boolean canReachCorner(int xCorner, int yCorner, int[][] circles) {
+        int n = circles.length;
+        this.circles = circles;
+        this.xCorner = xCorner;
+        this.yCorner = yCorner;
+        vis = new boolean[n];
+        for (int i = 0; i < n; ++i) {
+            var c = circles[i];
+            int x = c[0], y = c[1], r = c[2];
+            if (inCircle(0, 0, x, y, r) || inCircle(xCorner, yCorner, x, y, r)) {
+                return false;
+            }
+            if (!vis[i] && crossLeftTop(x, y, r) && dfs(i)) {
+                return false;
+            }
+        }
+        return true;
+    }
+
+    private boolean inCircle(long x, long y, long cx, long cy, long r) {
+        return (x - cx) * (x - cx) + (y - cy) * (y - cy) <= r * r;
+    }
+
+    private boolean crossLeftTop(long cx, long cy, long r) {
+        boolean a = Math.abs(cx) <= r && (cy >= 0 && cy <= yCorner);
+        boolean b = Math.abs(cy - yCorner) <= r && (cx >= 0 && cx <= xCorner);
+        return a || b;
+    }
+
+    private boolean crossRightBottom(long cx, long cy, long r) {
+        boolean a = Math.abs(cx - xCorner) <= r && (cy >= 0 && cy <= yCorner);
+        boolean b = Math.abs(cy) <= r && (cx >= 0 && cx <= xCorner);
+        return a || b;
+    }
+
+    private boolean dfs(int i) {
+        var c = circles[i];
+        long x1 = c[0], y1 = c[1], r1 = c[2];
+        if (crossRightBottom(x1, y1, r1)) {
+            return true;
+        }
+        vis[i] = true;
+        for (int j = 0; j < circles.length; ++j) {
+            var c2 = circles[j];
+            long x2 = c2[0], y2 = c2[1], r2 = c2[2];
+            if (vis[j]) {
+                continue;
+            }
+            if ((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2) > (r1 + r2) * (r1 + r2)) {
+                continue;
+            }
+            if (x1 * r2 + x2 * r1 < (r1 + r2) * xCorner && y1 * r2 + y2 * r1 < (r1 + r2) * yCorner
+                && dfs(j)) {
+                return true;
+            }
+        }
+        return false;
+    }
+}
 ```
 
 #### C++
 
 ```cpp
-
+class Solution {
+public:
+    bool canReachCorner(int xCorner, int yCorner, vector<vector<int>>& circles) {
+        using ll = long long;
+        auto inCircle = [&](ll x, ll y, ll cx, ll cy, ll r) {
+            return (x - cx) * (x - cx) + (y - cy) * (y - cy) <= r * r;
+        };
+        auto crossLeftTop = [&](ll cx, ll cy, ll r) {
+            bool a = abs(cx) <= r && (cy >= 0 && cy <= yCorner);
+            bool b = abs(cy - yCorner) <= r && (cx >= 0 && cx <= xCorner);
+            return a || b;
+        };
+        auto crossRightBottom = [&](ll cx, ll cy, ll r) {
+            bool a = abs(cx - xCorner) <= r && (cy >= 0 && cy <= yCorner);
+            bool b = abs(cy) <= r && (cx >= 0 && cx <= xCorner);
+            return a || b;
+        };
+
+        int n = circles.size();
+        vector<bool> vis(n);
+        auto dfs = [&](auto&& dfs, int i) -> bool {
+            auto c = circles[i];
+            ll x1 = c[0], y1 = c[1], r1 = c[2];
+            if (crossRightBottom(x1, y1, r1)) {
+                return true;
+            }
+            vis[i] = true;
+            for (int j = 0; j < n; ++j) {
+                if (vis[j]) {
+                    continue;
+                }
+                auto c2 = circles[j];
+                ll x2 = c2[0], y2 = c2[1], r2 = c2[2];
+                if ((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2) > (r1 + r2) * (r1 + r2)) {
+                    continue;
+                }
+                if (x1 * r2 + x2 * r1 < (r1 + r2) * xCorner && y1 * r2 + y2 * r1 < (r1 + r2) * yCorner
+                    && dfs(dfs, j)) {
+                    return true;
+                }
+            }
+            return false;
+        };
+
+        for (int i = 0; i < n; ++i) {
+            auto c = circles[i];
+            ll x = c[0], y = c[1], r = c[2];
+            if (inCircle(0, 0, x, y, r) || inCircle(xCorner, yCorner, x, y, r)) {
+                return false;
+            }
+            if (!vis[i] && crossLeftTop(x, y, r) && dfs(dfs, i)) {
+                return false;
+            }
+        }
+        return true;
+    }
+};
 ```
 
 #### Go
 
 ```go
+func canReachCorner(xCorner int, yCorner int, circles [][]int) bool {
+	inCircle := func(x, y, cx, cy, r int) bool {
+		dx, dy := x-cx, y-cy
+		return dx*dx+dy*dy <= r*r
+	}
+
+	crossLeftTop := func(cx, cy, r int) bool {
+		a := abs(cx) <= r && cy >= 0 && cy <= yCorner
+		b := abs(cy-yCorner) <= r && cx >= 0 && cx <= xCorner
+		return a || b
+	}
+
+	crossRightBottom := func(cx, cy, r int) bool {
+		a := abs(cx-xCorner) <= r && cy >= 0 && cy <= yCorner
+		b := abs(cy) <= r && cx >= 0 && cx <= xCorner
+		return a || b
+	}
+
+	vis := make([]bool, len(circles))
+
+	var dfs func(int) bool
+	dfs = func(i int) bool {
+		c := circles[i]
+		x1, y1, r1 := c[0], c[1], c[2]
+		if crossRightBottom(x1, y1, r1) {
+			return true
+		}
+		vis[i] = true
+		for j, c2 := range circles {
+			if vis[j] {
+				continue
+			}
+			x2, y2, r2 := c2[0], c2[1], c2[2]
+			if (x1-x2)*(x1-x2)+(y1-y2)*(y1-y2) > (r1+r2)*(r1+r2) {
+				continue
+			}
+			if x1*r2+x2*r1 < (r1+r2)*xCorner && y1*r2+y2*r1 < (r1+r2)*yCorner && dfs(j) {
+				return true
+			}
+		}
+		return false
+	}
+
+	for i, c := range circles {
+		x, y, r := c[0], c[1], c[2]
+		if inCircle(0, 0, x, y, r) || inCircle(xCorner, yCorner, x, y, r) {
+			return false
+		}
+		if !vis[i] && crossLeftTop(x, y, r) && dfs(i) {
+			return false
+		}
+	}
+	return true
+}
+
+func abs(x int) int {
+	if x < 0 {
+		return -x
+	}
+	return x
+}
+```
 
+#### TypeScript
+
+```ts
+function canReachCorner(xCorner: number, yCorner: number, circles: number[][]): boolean {
+    const inCircle = (x: bigint, y: bigint, cx: bigint, cy: bigint, r: bigint): boolean => {
+        const dx = x - cx;
+        const dy = y - cy;
+        return dx * dx + dy * dy <= r * r;
+    };
+
+    const crossLeftTop = (cx: bigint, cy: bigint, r: bigint): boolean => {
+        const a = BigInt(Math.abs(Number(cx))) <= r && cy >= 0n && cy <= BigInt(yCorner);
+        const b =
+            BigInt(Math.abs(Number(cy - BigInt(yCorner)))) <= r &&
+            cx >= 0n &&
+            cx <= BigInt(xCorner);
+        return a || b;
+    };
+
+    const crossRightBottom = (cx: bigint, cy: bigint, r: bigint): boolean => {
+        const a =
+            BigInt(Math.abs(Number(cx - BigInt(xCorner)))) <= r &&
+            cy >= 0n &&
+            cy <= BigInt(yCorner);
+        const b = BigInt(Math.abs(Number(cy))) <= r && cx >= 0n && cx <= BigInt(xCorner);
+        return a || b;
+    };
+
+    const n = circles.length;
+    const vis: boolean[] = new Array(n).fill(false);
+
+    const dfs = (i: number): boolean => {
+        const [x1, y1, r1] = circles[i].map(BigInt);
+        if (crossRightBottom(x1, y1, r1)) {
+            return true;
+        }
+        vis[i] = true;
+        for (let j = 0; j < n; j++) {
+            if (vis[j]) continue;
+            const [x2, y2, r2] = circles[j].map(BigInt);
+            if ((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2) > (r1 + r2) * (r1 + r2)) {
+                continue;
+            }
+            if (
+                x1 * r2 + x2 * r1 < (r1 + r2) * BigInt(xCorner) &&
+                y1 * r2 + y2 * r1 < (r1 + r2) * BigInt(yCorner) &&
+                dfs(j)
+            ) {
+                return true;
+            }
+        }
+        return false;
+    };
+
+    for (let i = 0; i < n; i++) {
+        const [x, y, r] = circles[i].map(BigInt);
+        if (inCircle(0n, 0n, x, y, r) || inCircle(BigInt(xCorner), BigInt(yCorner), x, y, r)) {
+            return false;
+        }
+        if (!vis[i] && crossLeftTop(x, y, r) && dfs(i)) {
+            return false;
+        }
+    }
+
+    return true;
+}
 ```
 
 <!-- tabs:end -->