20240322 Finished

src/problem/mod.rs

@@ -81,3 +81,4 @@ mod p303_range_sum_query_immutable;
 mod p1793_maximum_score_of_a_good_subarray;
 mod p1969_minimum_non_zero_product_of_the_array_elements;
 mod p2671_frequency_tracker;
+mod p2617_minimum_number_of_visited_cells_in_a_grid;

src/problem/p2617_minimum_number_of_visited_cells_in_a_grid.rs

@@ -0,0 +1,71 @@
+/**
+ * [2617] Minimum Number of Visited Cells in a Grid
+ */
+pub struct Solution {}
+
+
+// submission codes start here
+use std::{cmp::Reverse, collections::BinaryHeap};
+
+impl Solution {
+    pub fn minimum_visited_cells(grid: Vec<Vec<i32>>) -> i32 {
+        let height = grid.len();
+        let width = grid[0].len();
+
+        let mut column_heaps: Vec<BinaryHeap<(Reverse<i32>, usize)>> = vec![BinaryHeap::new(); width];
+        let mut row_heap: BinaryHeap<(Reverse<i32>, usize)> = BinaryHeap::new();
+
+        let mut dis = 0;
+        for (i, row) in  grid.iter().enumerate() {
+            row_heap.clear();
+
+            for (j, &node) in row.iter().enumerate() {
+                while !row_heap.is_empty() && row_heap.peek().unwrap().1 < j {
+                    row_heap.pop();   
+                }
+
+                let column_heap = &mut column_heaps[j];
+                while !column_heap.is_empty() && column_heap.peek().unwrap().1 < i {
+                    column_heap.pop();
+                }
+
+                dis = if i > 0 || j > 0 {
+                    i32::MAX
+                } else {
+                    1
+                };
+
+                if let Some((d, _)) = row_heap.peek() {
+                    dis = d.0 + 1;
+                }
+
+                if let Some((d, _)) = column_heap.peek() {
+                    dis = dis.min(d.0 + 1);
+                }
+
+                if node > 0 && dis < i32::MAX {
+                    let node = node as usize;
+                    row_heap.push((Reverse(dis), node + j));
+                    column_heap.push((Reverse(dis), node + i));
+                }
+            }
+        }
+
+        if dis < i32::MAX {
+            dis
+        } else {
+            -1
+        }
+    }
+}
+
+// submission codes end
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_2617() {
+    }
+}