From c760ae949d8fcd1be9fc162daa87a53ec63f2722 Mon Sep 17 00:00:00 2001
From: jackfiled <xcrenchangjun@outlook.com>
Date: Fri, 8 Nov 2024 15:14:49 +0800
Subject: [PATCH] 20241108 finished.

---
 src/problem/mod.rs                            |   2 +
 ...ck_if_the_rectangle_corner_is_reachable.rs | 133 ++++++++++++++++++
 2 files changed, 135 insertions(+)
 create mode 100644 src/problem/p3235_check_if_the_rectangle_corner_is_reachable.rs

diff --git a/src/problem/mod.rs b/src/problem/mod.rs
index 464d60a..56522ee 100644
--- a/src/problem/mod.rs
+++ b/src/problem/mod.rs
@@ -302,3 +302,5 @@ mod p3222_find_the_winning_player_in_coin_game;
 mod p3254_find_the_power_of_k_size_subarrays_i;
 
 mod p3255_find_the_power_of_k_size_subarrays_ii;
+
+mod p3235_check_if_the_rectangle_corner_is_reachable;
diff --git a/src/problem/p3235_check_if_the_rectangle_corner_is_reachable.rs b/src/problem/p3235_check_if_the_rectangle_corner_is_reachable.rs
new file mode 100644
index 0000000..c988912
--- /dev/null
+++ b/src/problem/p3235_check_if_the_rectangle_corner_is_reachable.rs
@@ -0,0 +1,133 @@
+/**
+ * [3235] Check if the Rectangle Corner Is Reachable
+ */
+pub struct Solution {}
+
+// submission codes start here
+
+struct Circle {
+    x: i64,
+    y: i64,
+    radius: i64,
+}
+
+impl Circle {
+    fn new(array: Vec<i32>) -> Self {
+        Circle {
+            x: array[0] as i64,
+            y: array[1] as i64,
+            radius: array[2] as i64,
+        }
+    }
+
+    fn intersect_in_rectangle(a: &Self, b: &Self, x: i64, y: i64) -> bool {
+        (a.x - b.x).pow(2) + (a.y - b.y).pow(2) <= (a.radius + b.radius).pow(2)
+            && a.x * b.radius + b.x * a.radius <= (a.radius + b.radius) * x
+            && a.y * b.radius + b.y * a.radius <= (a.radius + b.radius) * y
+    }
+
+    fn contains_point(&self, x: i64, y: i64) -> bool {
+        (x - self.x).pow(2) + (y - self.y).pow(2) <= self.radius.pow(2)
+    }
+
+    fn intersect_with_top_left(&self, x: i64, y: i64) -> bool {
+        (self.x.abs() <= self.radius && 0i64 <= self.y && self.y <= y)
+            || ((self.y - y).abs() <= self.radius && 0i64 <= self.x && self.x <= x)
+            || self.contains_point(x, y)
+    }
+
+    fn intersect_with_bottom_right(&self, x: i64, y: i64) -> bool {
+        ((x - self.x).abs() <= self.radius && 0i64 <= self.y && self.y <= y)
+            || (self.y.abs() <= self.radius && 0i64 <= self.x && self.x <= x)
+            || self.contains_point(x, y)
+    }
+}
+
+impl Solution {
+    pub fn can_reach_corner(x_corner: i32, y_corner: i32, circles: Vec<Vec<i32>>) -> bool {
+        let n = circles.len();
+        let (x_corner, y_corner) = (x_corner as i64, y_corner as i64);
+        let circles: Vec<Circle> = circles.into_iter().map(|v| Circle::new(v)).collect();
+
+        let mut visited = vec![false; n];
+
+        for (i, c) in circles.iter().enumerate() {
+            if c.contains_point(0i64, 0i64) || c.contains_point(x_corner, y_corner) {
+                return false;
+            }
+
+            if !visited[i] && c.intersect_with_top_left(x_corner, y_corner) {
+                if Self::dfs(i, &circles, &mut visited, x_corner, y_corner) {
+                    return false;
+                }
+            }
+        }
+
+        true
+    }
+
+    fn dfs(
+        i: usize,
+        circles: &Vec<Circle>,
+        visited: &mut Vec<bool>,
+        x_corner: i64,
+        y_corner: i64,
+    ) -> bool {
+        if circles[i].intersect_with_bottom_right(x_corner, y_corner) {
+            return true;
+        }
+
+        visited[i] = true;
+        for (j, c) in circles.iter().enumerate() {
+            if visited[j] {
+                continue;
+            }
+
+            if Circle::intersect_in_rectangle(&circles[i], c, x_corner, y_corner) {
+                if Self::dfs(j, circles, visited, x_corner, y_corner) {
+                    return true;
+                }
+            }
+        }
+
+        false
+    }
+}
+
+// submission codes end
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_3235() {
+        assert!(Solution::can_reach_corner(
+            5_0000_0000,
+            5_0000_0000,
+            vec![
+                vec![4_9998_0000, 6_9999_9999, 2_0000_0000],
+                vec![5_0002_0000, 3_0000_0001, 2_0000_0000],
+            ]
+        ));
+        assert!(!Solution::can_reach_corner(
+            15,
+            15,
+            vec![vec![2, 20, 13], vec![20, 2, 13]]
+        ));
+        assert!(Solution::can_reach_corner(
+            3,
+            3,
+            vec![vec![2, 1000, 997], vec![1000, 2, 997]]
+        ));
+        assert!(!Solution::can_reach_corner(5, 7, vec![vec![2, 2, 7]]));
+        assert!(Solution::can_reach_corner(3, 4, vec![vec![2, 1, 1]]));
+        assert!(!Solution::can_reach_corner(3, 3, vec![vec![1, 1, 2]]));
+        assert!(!Solution::can_reach_corner(
+            3,
+            3,
+            vec![vec![2, 1, 1], vec![1, 2, 1]]
+        ));
+        assert!(Solution::can_reach_corner(4, 4, vec![vec![5, 5, 1]]));
+    }
+}