From e7959dcf7d48a1e41509f9ab9d34eb80d9dc341d Mon Sep 17 00:00:00 2001
From: Denis Daletski <ddaletski@pinterest.com>
Date: Fri, 28 Apr 2023 22:08:45 -0400
Subject: [PATCH] largest-plus-sign

---
 rust/Cargo.lock                            |   8 ++
 rust/problems/largest-plus-sign/Cargo.toml |  12 +++
 rust/problems/largest-plus-sign/link.txt   |   1 +
 rust/problems/largest-plus-sign/src/lib.rs | 108 +++++++++++++++++++++
 4 files changed, 129 insertions(+)
 create mode 100644 rust/problems/largest-plus-sign/Cargo.toml
 create mode 100644 rust/problems/largest-plus-sign/link.txt
 create mode 100644 rust/problems/largest-plus-sign/src/lib.rs

diff --git a/rust/Cargo.lock b/rust/Cargo.lock
index a101886..3e064b9 100644
--- a/rust/Cargo.lock
+++ b/rust/Cargo.lock
@@ -546,6 +546,14 @@ dependencies = [
  "spectral",
 ]
 
+[[package]]
+name = "largest-plus-sign"
+version = "0.1.0"
+dependencies = [
+ "common",
+ "rstest 0.16.0",
+]
+
 [[package]]
 name = "lazy_static"
 version = "1.4.0"
diff --git a/rust/problems/largest-plus-sign/Cargo.toml b/rust/problems/largest-plus-sign/Cargo.toml
new file mode 100644
index 0000000..ef7257c
--- /dev/null
+++ b/rust/problems/largest-plus-sign/Cargo.toml
@@ -0,0 +1,12 @@
+[package]
+name = "largest-plus-sign"
+version = "0.1.0"
+edition = "2021"
+
+# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
+
+[dependencies]
+
+[dev-dependencies]
+common = { path = "../../common" }
+rstest = "0.16.0"
diff --git a/rust/problems/largest-plus-sign/link.txt b/rust/problems/largest-plus-sign/link.txt
new file mode 100644
index 0000000..6cc2184
--- /dev/null
+++ b/rust/problems/largest-plus-sign/link.txt
@@ -0,0 +1 @@
+https://leetcode.com/problems/largest-plus-sign
\ No newline at end of file
diff --git a/rust/problems/largest-plus-sign/src/lib.rs b/rust/problems/largest-plus-sign/src/lib.rs
new file mode 100644
index 0000000..673a9fb
--- /dev/null
+++ b/rust/problems/largest-plus-sign/src/lib.rs
@@ -0,0 +1,108 @@
+pub struct Solution {}
+
+impl Solution {
+    pub fn fill_mines_grid(n: usize, mines: Vec<Vec<i32>>) -> Vec<bool> {
+        let mut mines_grid: Vec<bool> = vec![];
+        mines_grid.resize((n * n) as usize, false);
+        for mine in mines {
+            mines_grid[(mine[0] * n as i32 + mine[1]) as usize] = true;
+        }
+        mines_grid
+    }
+
+    pub fn fill_orders_grid(n: usize) -> Vec<i32> {
+        let mut orders_grid: Vec<i32> = vec![];
+        orders_grid.resize(n * n, n as i32);
+        orders_grid
+    }
+
+    pub fn order_of_largest_plus_sign(n: i32, mines: Vec<Vec<i32>>) -> i32 {
+        let n = n as usize;
+        let mines_grid = Solution::fill_mines_grid(n, mines);
+        let mut orders_grid = Solution::fill_orders_grid(n);
+
+        // for each line:
+        // - find segments containing only 1s
+        // - use segment endpoints to filter possible orders of all crosses with centers inside the segment
+        for y in 0..n {
+            let mut start = 0;
+            while start < n {
+                // find segment containing only 1s
+                while start < n && mines_grid[y * n + start] {
+                    orders_grid[y * n + start] = 0;
+                    start += 1;
+                }
+                if start == n {
+                    break;
+                }
+                let mut end = start + 1;
+                while end < n && !mines_grid[(y * n + end) as usize] {
+                    end += 1;
+                }
+
+                for x in start..(start + end) / 2 {
+                    let order = &mut orders_grid[(y * n + x) as usize];
+                    *order = (*order).min((x - start + 1) as i32);
+                }
+
+                for x in (start + end) / 2..end {
+                    let order = &mut orders_grid[(y * n + x) as usize];
+                    *order = (*order).min((end - x) as i32);
+                }
+
+                start = end;
+            }
+        }
+
+        // the same for vertical lines
+        for x in 0..n {
+            let mut start = 0;
+            while start < n {
+                while start < n && mines_grid[(start * n + x) as usize] {
+                    start += 1;
+                }
+                if start == n {
+                    break;
+                }
+                let mut end = start + 1;
+                while end < n && !mines_grid[(end * n + x) as usize] {
+                    end += 1;
+                }
+
+                for y in start..(start + end) / 2 {
+                    let order = &mut orders_grid[(y * n + x) as usize];
+                    *order = (*order).min((y - start + 1) as i32);
+                }
+
+                for y in (start + end) / 2..end {
+                    let order = &mut orders_grid[(y * n + x) as usize];
+                    *order = (*order).min((end - y) as i32);
+                }
+
+                start = end;
+            }
+        }
+
+        orders_grid.iter().max().unwrap().clone()
+    }
+}
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+    use common::{assert_returns, vec2d};
+    use rstest::rstest;
+
+    #[rstest]
+    #[case(5, vec2d![[4,2]], 2)]
+    #[case(1, vec2d![[0,0]], 0)]
+    #[case(5, vec2d![[0,1],[0,2],[1,0],[1,2],[1,4],[2,0],[2,2],[3,0],[3,1],[4,0],[4,1],[4,3],[4,4]], 1)]
+    fn it_works(#[case] n: i32, #[case] mines: Vec<Vec<i32>>, #[case] expected: i32) {
+        assert_returns!(
+            expected,
+            Solution::order_of_largest_plus_sign,
+            n,
+            mines.clone()
+        );
+    }
+}