WIP rust impl for multidrone solution

solution1/src/main/java/assessment/algorithm/OptimalPathFinder.java

@@ -9,6 +9,7 @@ import java.util.*;
  * outstanding questions:
  * * is a cell of (initial) value 0 equally valuable as a cell just occupied?
  * -> probably, what is the chance that you find a 'treasure' behind it, that you would have not found via an alternative path?
+ * * what about a path that has to end at start position?
  */
 public class OptimalPathFinder {
 
@@ -53,6 +54,7 @@ public class OptimalPathFinder {
 
                 // next path to evaluate
                 path = paths.peek();
+                assert path != null; // priorityqueue does not allow nulls
             }
 
             Point currentPos = path.getHead();

solution2/Cargo.lock

@@ -0,0 +1,7 @@
+# This file is automatically @generated by Cargo.
+# It is not intended for manual editing.
+version = 3
+
+[[package]]
+name = "solution2"
+version = "0.1.0"

solution2/Cargo.toml

@@ -0,0 +1,6 @@
+[package]
+name = "solution2"
+version = "0.1.0"
+edition = "2021"
+
+[dependencies]

solution2/src/grid.rs

@@ -0,0 +1,158 @@
+use std::{
+    cmp::Ordering,
+    collections::{BTreeSet, HashMap},
+    hash::{Hash, Hasher},
+};
+
+#[derive(Debug)]
+pub struct Grid {
+    data: Vec<Vec<u16>>,
+    // keep track of every point that has been hit at some time
+    hits: HashMap<(u16, u16), BTreeSet<usize>>, // TreeSet<usize> is integer times that point has been visited.
+                                                // Must always be sorted and could probably be a single int
+                                                // (keep track of last time hit)
+}
+
+impl Grid {
+    pub fn new(N: usize) -> Self {
+        let grid20 = include_str!("grids/20.txt");
+        let grid100 = include_str!("grids/100.txt");
+        let grid1000 = include_str!("grids/1000.txt");
+
+        let datafile = match N {
+            20 => grid20,
+            100 => grid100,
+            1000 => grid1000,
+            _ => panic!("only 20, 100 or 1000 are available"),
+        };
+
+        let mut data = vec![];
+        for row in datafile.split("\n") {
+            let mut datarow = vec![];
+            for col in row.split(" ") {
+                datarow.push(u16::from_str_radix(col, 10).unwrap());
+            }
+            data.push(datarow);
+        }
+        Grid {
+            data,
+            hits: HashMap::new(),
+        }
+    }
+
+    pub fn get_value(&self, x: u16, y: u16, time: usize) -> f32 {
+        let hit = self.hits.get(&(x, y));
+
+        let initial_value = *(self.data.get(y as usize).unwrap().get(x as usize).unwrap()) as f32;
+
+        if let Some(hit_times) = hit {
+            for t in hit_times.iter().rev() {
+                if time > *t {
+                    let elapsed_since_hit = (time - *t) as f32;
+
+                    return f32::min(
+                        elapsed_since_hit * initial_value as f32 * 0.1,
+                        initial_value,
+                    );
+                }
+            }
+            0.0
+        } else {
+            initial_value
+        }
+    }
+
+    pub fn size(&self) -> u16 {
+        self.data.len() as u16
+    }
+}
+
+#[derive(Debug, Clone)]
+pub struct Path {
+    points: Vec<Point>,
+    pub value: f32,
+}
+
+impl Path {
+    pub fn new(grid: &Grid, initial_x: u16, initial_y: u16) -> Self {
+        let mut points = vec![];
+        let value = grid.get_value(initial_x, initial_y, 0);
+
+        let p = Point {
+            x: initial_x,
+            y: initial_y,
+            value,
+        };
+
+        points.push(p);
+        Self { points, value }
+    }
+
+    pub fn length(&self) -> usize {
+        self.points.len()
+    }
+
+    pub fn head(&self) -> &Point {
+        self.points.get(self.points.len() - 1).unwrap() // assert Some
+    }
+
+    pub fn value(&self) -> f32 {
+        self.points.iter().map(|p| p.value).sum()
+    }
+}
+
+impl PartialOrd for Path {
+    fn partial_cmp(&self, other: &Path) -> Option<Ordering> {
+        match self.value > other.value {
+            true => Some(Ordering::Greater),
+            false => {
+                if self.value == other.value {
+                    Some(Ordering::Equal)
+                } else {
+                    Some(Ordering::Less)
+                }
+            }
+        }
+    }
+}
+
+impl Eq for Path {}
+
+impl Ord for Path {
+    fn cmp(&self, other: &Self) -> Ordering {
+        self.partial_cmp(other).unwrap()
+    }
+}
+
+impl PartialEq for Path {
+    fn eq(&self, other: &Path) -> bool {
+        self.value == other.value
+    }
+}
+
+#[derive(Debug, Clone)]
+pub struct Point {
+    pub x: u16,
+    pub y: u16,
+    pub value: f32,
+}
+
+impl Point {
+    pub fn new(x: u16, y: u16, value: f32) -> Self {
+        Self { x, y, value: 0.0 }
+    }
+}
+
+impl PartialEq for Point {
+    fn eq(&self, other: &Point) -> bool {
+        self.x == other.x && self.y == other.y
+    }
+}
+impl Eq for Point {}
+
+impl Hash for Point {
+    fn hash<H: Hasher>(&self, state: &mut H) {
+        self.x.hash(state);
+        self.y.hash(state);
+    }
+}

solution2/src/grids/100.txt

@@ -0,0 +1,100 @@
+7 4 7 9 8 9 0 2 10 9 6 10 5 5 1 9 0 4 3 0 5 10 6 3 10 3 0 4 4 6 8 0 3 6 1 0 2 7 7 3 1 0 9 10 2 9 5 0 2 0 1 4 10 8 8 0 4 4 3 9 6 6 2 9 9 5 2 2 10 4 2 6 10 0 10 6 3 4 7 8 9 7 5 5 10 9 8 5 2 10 2 4 9 1 0 1 7 7 3 9
+3 6 7 9 5 3 7 9 9 2 1 8 9 5 1 9 5 3 4 10 4 1 3 1 2 10 8 6 7 10 1 10 0 0 4 10 4 6 4 0 4 10 9 6 7 8 5 1 1 6 6 8 8 7 6 5 7 8 6 4 6 5 9 8 4 5 5 9 10 4 3 5 10 1 7 0 8 1 1 3 8 6 4 2 8 9 10 3 6 2 10 3 6 6 5 8 7 10 2 1
+2 1 8 10 2 4 3 8 10 0 7 9 4 5 5 3 9 2 7 2 10 1 0 0 4 2 2 10 6 2 0 5 10 6 9 6 0 4 3 0 4 6 7 1 7 5 9 6 10 6 3 6 2 3 8 5 10 5 10 0 10 6 2 7 3 1 8 1 4 1 7 3 3 6 10 9 1 0 2 10 6 2 1 2 7 8 8 4 9 6 5 2 2 9 3 10 3 3 2 4
+3 4 4 0 6 2 0 5 9 0 4 0 9 8 8 0 10 9 8 2 0 10 3 3 6 0 10 3 0 3 6 2 2 8 4 9 4 6 2 7 0 7 3 7 10 7 6 4 5 9 5 10 7 9 8 6 1 0 4 9 8 2 3 1 7 5 7 8 6 5 9 8 5 10 7 2 8 7 5 0 7 4 8 3 0 6 2 7 0 1 10 4 7 9 3 10 8 10 1 0
+7 2 3 0 5 5 9 5 3 10 5 3 2 1 5 2 0 2 7 6 0 5 0 5 8 2 7 1 2 4 2 3 4 7 7 8 3 1 10 3 2 8 2 6 0 10 9 10 7 0 7 3 0 5 0 6 1 4 4 7 1 0 0 4 5 1 1 2 2 5 9 5 6 6 6 7 0 3 10 4 4 0 6 0 6 10 5 0 8 8 3 2 3 6 9 3 4 8 9 5
+2 9 6 3 7 2 5 7 3 7 8 10 10 6 1 9 3 6 1 7 2 2 7 6 9 10 5 7 10 0 3 4 2 3 5 4 10 0 6 2 3 5 2 2 0 9 2 6 5 10 3 0 9 3 3 2 2 2 2 3 7 0 9 6 4 4 7 3 0 10 0 2 2 4 4 1 1 1 3 1 4 5 1 9 5 2 7 3 7 7 2 4 6 8 6 2 6 8 5 1
+2 3 1 0 0 5 6 8 3 2 8 9 3 7 3 0 7 2 2 0 7 2 1 5 9 4 4 6 6 2 9 6 7 1 9 2 9 3 0 2 8 1 2 8 5 6 10 8 6 4 5 7 10 4 10 8 4 7 10 7 3 1 9 2 6 7 9 5 7 1 10 10 3 2 6 10 5 0 3 5 7 9 2 7 0 0 3 10 8 8 5 7 2 9 2 1 0 5 0 4
+4 5 2 5 0 2 4 1 8 0 2 0 7 1 1 7 1 9 0 2 1 3 4 2 0 10 7 6 3 7 6 5 0 10 2 4 1 7 1 10 1 8 2 10 8 6 2 7 5 1 8 9 6 7 10 8 8 1 8 4 3 8 8 5 5 1 5 3 7 6 0 1 8 6 8 4 0 9 6 4 0 10 10 0 10 10 7 6 5 2 3 6 2 4 2 6 8 4 9 3
+8 5 4 0 10 6 8 3 0 4 8 4 9 1 2 8 0 5 7 9 5 8 1 1 0 7 9 1 8 3 9 9 10 4 6 1 3 0 3 6 4 4 9 8 4 9 3 5 9 3 0 9 8 10 2 2 6 6 3 7 9 1 5 3 4 8 2 5 10 6 9 9 9 2 6 6 1 3 1 3 10 10 8 9 3 3 1 0 6 1 3 9 4 4 10 4 4 7 2 0
+6 4 2 4 9 3 8 8 7 4 3 0 10 2 6 0 9 10 5 5 7 0 6 8 7 7 8 0 2 3 5 6 7 6 9 3 9 8 2 7 8 2 3 9 0 2 4 0 8 6 2 7 7 3 7 0 6 2 4 10 3 5 5 6 7 2 1 6 6 0 2 1 9 7 1 9 2 9 10 0 3 5 1 5 6 2 8 10 1 8 10 10 7 0 6 0 0 8 4 3
+9 5 8 2 0 3 8 6 4 8 6 1 0 1 0 3 4 0 1 5 10 5 9 5 4 3 1 8 7 4 2 6 0 1 3 10 1 7 0 10 2 3 3 8 4 8 2 7 3 8 0 8 7 2 5 10 1 8 3 10 4 7 4 2 0 10 4 3 3 1 5 9 10 7 1 10 10 3 2 6 4 4 10 2 10 3 3 2 8 6 6 8 1 6 0 7 2 2 0 1
+1 7 2 1 10 10 4 2 2 10 1 6 7 3 8 9 3 4 1 3 4 10 10 0 10 7 9 5 3 0 2 4 9 3 8 3 6 4 8 10 8 8 9 0 0 1 9 0 4 7 5 1 7 7 10 5 1 9 1 1 5 10 5 6 7 0 7 10 3 3 4 9 5 0 2 7 9 6 8 10 1 6 5 3 1 7 0 0 9 5 10 10 7 7 8 7 7 9 5 5
+4 4 6 10 3 9 7 3 2 5 2 8 8 9 7 1 7 3 5 2 9 2 1 2 9 8 8 4 10 2 1 10 5 5 0 2 2 7 7 10 2 2 5 1 1 8 6 6 2 7 3 3 7 8 0 6 3 3 6 10 1 8 2 8 6 2 4 0 8 2 7 6 8 5 1 4 9 10 3 5 5 5 9 7 1 1 9 10 8 4 6 0 9 2 10 2 3 7 2 2
+2 1 2 7 1 0 1 9 3 5 9 10 3 8 2 7 3 0 5 8 2 9 8 10 6 8 8 2 6 8 7 2 4 4 3 2 9 6 3 8 4 2 0 5 0 9 9 3 1 1 7 7 9 5 9 3 10 8 1 6 4 1 10 3 4 3 6 5 5 9 1 8 2 4 5 0 0 6 6 2 6 2 5 2 4 5 5 10 5 6 0 5 7 7 3 4 3 5 10 7
+9 8 3 8 3 8 0 8 0 10 2 1 1 1 10 5 1 8 8 0 5 6 3 0 2 7 4 10 3 6 8 7 9 3 1 6 3 8 0 8 10 10 2 4 10 5 5 6 4 2 2 5 7 9 10 5 2 5 5 1 3 7 4 7 2 4 10 2 2 8 9 8 1 4 0 3 9 0 3 0 3 4 3 9 7 10 1 3 9 10 8 0 9 5 4 5 8 5 10 4
+0 5 4 4 9 10 8 6 5 0 10 9 7 8 5 3 4 1 6 6 9 6 3 7 2 8 3 6 10 3 4 3 4 2 0 0 5 0 7 8 0 10 2 4 9 6 8 5 0 8 3 2 6 6 0 0 10 2 3 1 10 3 4 4 3 5 1 8 5 0 6 8 1 1 2 3 0 8 2 6 1 7 2 1 5 7 9 3 6 6 8 8 7 5 0 1 2 4 1 0
+2 7 2 3 6 7 4 4 10 4 10 8 10 4 10 10 8 8 5 1 10 8 3 7 1 5 8 10 6 0 7 2 10 10 2 5 2 1 4 9 6 9 3 9 9 8 0 5 4 9 8 8 7 0 1 2 8 2 6 10 3 6 0 8 3 7 2 0 3 10 7 2 1 8 8 10 7 7 3 10 0 7 9 6 0 1 9 0 8 1 8 8 6 10 10 7 4 0 1 10
+0 9 2 10 5 9 9 9 8 2 2 10 0 10 8 0 3 5 2 7 2 6 2 4 8 5 10 1 1 5 7 7 0 8 1 8 4 0 6 5 8 8 4 8 10 9 3 0 7 10 10 0 8 8 7 10 9 3 2 1 10 2 0 4 7 6 3 6 4 8 10 9 5 3 7 4 5 4 7 9 0 8 7 8 9 1 3 10 9 6 10 10 0 0 2 1 5 3 8 1
+2 6 1 5 6 3 1 10 4 4 1 6 9 8 4 6 10 3 2 7 7 9 2 9 4 7 9 9 7 8 8 3 0 1 7 9 8 8 6 4 7 5 5 0 0 1 2 2 6 6 1 2 5 1 8 0 3 4 4 2 5 3 8 2 0 6 6 0 4 5 8 9 4 10 6 4 4 9 3 9 9 3 2 5 5 0 5 1 8 4 5 1 9 1 5 0 10 0 9 4
+1 9 4 5 10 4 0 6 5 1 0 1 8 4 9 0 9 0 7 10 9 0 6 4 6 10 6 0 6 10 6 3 9 1 10 10 1 8 1 8 0 4 6 10 5 7 4 2 9 3 7 1 4 1 5 0 2 6 0 4 4 3 6 5 9 4 3 6 9 3 8 9 7 4 5 5 8 1 4 6 3 10 2 0 0 5 1 3 9 8 5 6 2 6 10 7 5 10 5 2
+7 8 9 2 8 6 3 3 5 1 3 0 10 4 4 6 3 7 8 7 4 4 2 0 4 3 10 2 5 5 7 1 2 4 5 7 8 10 10 9 1 8 7 9 10 10 2 0 2 8 0 4 8 7 10 10 0 6 6 10 5 2 3 6 1 9 1 1 6 8 5 1 9 8 7 0 7 6 2 5 8 2 4 8 5 8 0 9 7 4 3 7 9 9 4 9 5 9 6 10
+9 5 1 2 2 0 8 2 7 0 2 5 1 5 5 3 0 4 2 10 0 2 0 5 10 9 3 5 7 8 10 0 8 6 4 5 10 1 0 10 10 8 2 0 9 6 1 4 0 9 7 7 0 0 3 0 5 8 9 0 10 2 6 8 10 4 6 5 1 10 3 9 9 7 9 0 5 8 10 6 10 5 9 7 6 3 4 1 9 2 5 7 3 0 10 5 2 10 8 10
+10 1 0 3 3 7 2 6 9 7 7 5 3 2 8 10 4 9 6 8 5 6 1 7 6 5 4 4 0 6 10 6 1 1 7 8 7 0 8 4 10 9 5 7 9 5 8 4 9 1 4 6 3 6 1 9 5 3 3 1 0 1 8 2 7 6 8 3 4 4 3 10 0 8 1 2 5 2 1 10 2 1 9 10 3 5 2 4 6 5 6 7 7 2 6 5 1 1 3 7
+1 5 9 0 3 5 0 1 3 10 1 9 1 5 9 8 8 8 5 0 0 3 2 3 9 8 2 5 9 2 0 0 2 2 0 0 4 0 8 6 6 0 4 10 6 1 1 8 0 7 7 0 7 6 6 6 2 8 0 7 1 10 0 3 9 2 9 2 10 9 1 4 10 8 4 6 8 6 7 2 10 10 0 6 5 1 4 9 4 2 10 2 8 10 3 9 5 7 1 3
+7 10 8 5 3 10 2 5 10 4 9 8 0 1 3 7 8 7 5 9 0 10 10 2 2 4 2 1 10 8 0 10 2 7 7 6 2 5 10 4 7 5 1 8 7 0 5 9 9 5 2 2 3 0 0 3 10 4 10 10 3 7 9 0 8 4 3 2 10 6 1 10 0 6 0 9 2 6 8 9 7 5 6 10 9 9 7 7 7 9 2 0 7 7 10 5 5 8 6 0
+4 2 5 5 9 0 6 10 9 8 8 7 4 9 10 10 2 0 1 2 5 8 8 7 7 3 7 3 10 9 8 8 2 6 0 10 7 8 4 5 5 9 7 4 3 1 2 0 8 4 7 6 6 10 5 6 0 8 10 6 1 8 7 8 6 9 3 3 7 9 0 3 7 7 2 6 9 4 7 2 10 0 2 9 3 0 4 2 9 4 10 10 9 9 9 9 0 2 2 7
+8 2 9 5 2 4 8 1 10 9 6 1 0 9 3 8 9 2 3 0 8 5 8 8 0 3 3 3 0 7 5 1 10 1 8 1 5 7 7 3 3 7 0 4 9 2 8 9 4 3 10 3 0 2 0 4 6 0 8 4 6 1 1 9 6 6 0 2 4 1 0 2 3 7 8 0 8 2 8 7 6 0 4 6 9 7 10 1 6 2 4 2 8 0 3 8 4 3 2 9
+3 8 1 3 1 2 4 4 4 3 9 2 5 5 8 3 4 3 0 7 10 1 7 8 4 10 2 5 4 0 6 4 10 0 4 6 0 1 6 1 10 8 8 5 3 10 10 5 7 1 1 6 4 6 3 0 5 8 5 2 4 7 9 2 2 4 0 6 6 1 2 0 7 7 8 7 8 3 3 10 5 10 1 3 7 6 9 3 8 7 2 2 9 9 8 8 5 0 6 8
+1 10 6 5 1 10 4 3 6 3 7 9 7 1 0 7 7 10 5 3 2 0 8 1 3 3 5 0 6 2 2 8 9 2 9 6 2 8 5 0 8 8 1 3 8 4 8 2 10 8 2 7 3 9 8 5 10 6 8 3 9 6 4 2 7 2 3 5 3 1 8 5 1 9 0 7 3 8 2 0 4 9 7 7 4 0 10 0 2 7 0 9 10 6 7 1 5 2 3 8
+1 4 7 2 5 8 1 5 9 4 4 3 7 7 9 3 4 7 4 10 0 1 6 6 5 6 3 10 0 0 4 4 1 9 10 9 1 8 5 10 1 8 10 8 3 8 2 10 7 6 9 2 5 5 0 9 9 7 10 6 9 1 10 6 7 6 2 3 1 4 1 3 10 6 10 4 8 9 8 10 0 10 5 4 8 4 4 1 0 6 6 2 10 8 8 4 3 0 4 3
+2 1 9 8 7 1 1 5 1 3 9 2 10 1 0 3 10 6 9 4 4 9 7 8 5 9 8 4 10 6 2 10 8 6 5 0 10 7 3 1 3 7 0 6 1 6 2 10 10 10 10 3 8 0 8 7 3 10 2 4 6 9 1 10 7 7 6 6 9 8 7 10 10 9 1 1 9 0 4 0 7 5 4 4 2 7 1 3 0 9 4 4 4 5 2 2 1 9 0 10
+4 7 5 1 7 1 0 2 0 6 7 9 1 8 0 4 3 5 6 9 8 9 2 5 9 10 8 5 0 3 6 2 2 7 8 3 2 5 2 1 3 10 10 2 5 1 3 4 10 5 5 6 1 2 10 2 3 4 9 5 1 4 3 7 5 4 10 1 1 10 7 4 8 4 4 8 1 4 3 10 6 5 4 2 0 3 3 3 2 3 0 10 5 7 6 1 5 10 5 8
+0 10 0 0 7 4 6 9 2 6 1 8 9 9 7 3 9 9 0 7 5 8 3 5 7 8 9 3 10 2 6 8 1 9 0 2 1 5 10 1 8 2 1 2 0 4 8 6 9 7 6 2 8 6 3 7 5 7 8 1 4 3 5 3 2 2 10 6 2 6 9 6 6 2 8 4 9 10 6 4 6 8 7 2 2 9 0 4 6 2 1 4 0 8 7 7 8 0 4 6
+2 6 5 3 8 6 9 5 1 9 8 4 5 0 10 3 8 2 6 1 8 1 8 2 4 3 4 7 1 4 9 3 1 5 7 6 2 4 1 4 3 2 4 8 8 0 3 5 0 5 1 4 3 5 6 10 6 7 6 10 10 1 4 0 1 2 0 8 0 3 5 10 8 4 1 9 1 2 3 6 0 1 0 3 5 2 6 1 5 1 7 1 2 8 6 5 3 6 2 7
+6 6 5 7 1 2 3 7 5 7 5 2 1 3 9 5 7 6 2 2 5 9 2 1 2 10 0 9 4 4 0 10 9 4 1 5 2 10 1 7 8 8 3 1 8 8 9 6 10 5 2 9 3 10 5 3 4 0 3 10 4 6 4 10 3 6 1 7 5 5 10 0 8 1 3 4 2 2 9 2 1 7 0 3 8 6 0 1 1 0 4 5 9 1 7 5 4 1 8 3
+9 8 9 4 8 3 3 4 10 2 3 6 6 8 7 10 7 6 6 7 10 8 8 9 6 6 8 1 0 4 5 1 8 8 0 6 3 3 2 8 5 2 8 4 7 10 3 10 10 5 3 7 1 7 9 8 9 8 0 3 1 2 8 9 8 5 2 7 8 6 3 0 7 1 7 6 5 10 1 6 0 5 9 3 10 0 1 1 3 9 7 3 6 10 0 3 8 2 0 5
+4 9 10 2 0 2 3 8 1 3 2 1 1 2 7 7 9 10 5 6 7 1 5 1 0 2 9 5 1 10 7 7 6 10 8 0 8 1 2 5 7 7 6 6 6 10 1 1 6 1 7 2 5 9 2 8 7 9 1 2 2 5 4 9 6 10 5 10 0 4 3 9 0 3 4 6 7 3 0 8 4 9 9 9 9 9 10 1 6 1 5 6 5 1 1 4 9 7 3 1
+3 5 4 1 1 10 2 2 6 10 6 4 6 5 4 10 0 9 2 7 8 4 7 0 5 1 3 3 8 1 2 7 4 2 8 7 1 8 7 8 1 6 0 1 5 6 7 4 10 9 3 7 8 9 8 0 3 7 2 1 5 2 0 9 10 2 5 0 5 9 5 2 4 8 9 9 9 2 8 0 7 5 10 0 8 0 1 6 3 1 6 2 3 4 1 8 0 2 6 9
+10 8 7 5 4 3 8 2 10 7 1 4 9 3 2 4 5 10 0 5 4 8 1 5 4 6 10 7 7 4 4 7 2 7 7 10 8 9 5 6 7 6 1 9 0 3 8 4 8 7 2 7 1 1 10 4 9 10 5 4 7 1 3 10 1 10 1 0 3 9 6 5 5 10 6 7 10 4 0 6 1 2 6 9 2 4 9 7 8 2 7 10 4 7 10 10 0 5 2 7
+8 9 6 4 1 3 7 1 0 6 5 2 0 9 3 0 1 5 9 10 0 10 2 3 4 4 3 9 3 5 6 7 8 1 10 5 6 9 2 9 9 5 3 5 9 7 7 4 4 4 10 0 1 0 9 1 3 8 6 1 3 1 10 5 8 9 7 1 1 5 8 7 5 10 2 4 10 8 1 4 6 9 10 3 1 9 3 8 6 8 1 2 4 2 3 0 7 6 9 2
+3 7 0 1 4 8 2 7 7 7 4 10 5 8 7 10 4 0 3 4 7 10 8 0 9 4 9 5 2 8 4 6 4 6 7 10 5 2 8 6 3 3 7 5 6 0 10 7 0 7 9 10 9 3 8 2 10 7 4 1 6 9 3 8 6 1 8 10 4 4 0 9 3 10 7 1 8 9 7 1 6 6 3 2 10 1 1 3 0 2 7 3 5 1 5 9 7 3 0 1
+0 8 0 7 4 7 1 1 1 7 4 2 6 9 2 5 3 5 5 10 1 2 10 8 0 6 2 8 0 3 10 2 5 7 8 8 5 4 0 4 3 5 9 9 2 0 2 3 5 0 8 0 5 0 0 8 1 6 10 6 3 2 6 8 8 6 5 7 4 7 7 2 2 8 2 3 8 3 5 2 8 1 0 3 5 6 4 10 2 4 7 9 8 3 1 6 5 2 5 2
+7 6 4 6 4 10 0 5 2 2 6 10 10 9 7 2 7 1 9 4 0 6 9 5 9 0 8 9 8 10 10 5 3 0 6 6 9 6 9 5 7 0 5 7 2 2 1 4 1 5 8 6 5 0 5 1 2 8 3 3 2 7 6 9 6 9 3 10 4 1 2 2 8 6 4 2 3 5 3 1 2 9 7 0 1 9 9 0 0 10 0 2 5 0 2 9 5 8 7 5
+8 10 9 0 2 1 7 3 9 2 7 3 4 1 6 2 9 1 9 4 3 7 6 8 5 6 0 10 0 10 5 9 2 5 8 0 10 2 0 6 7 5 2 1 1 1 10 8 6 9 8 0 9 4 4 3 5 4 0 1 6 0 0 8 8 0 1 8 6 6 4 5 7 8 1 3 3 3 4 9 6 2 10 10 3 9 8 4 10 0 10 6 10 10 8 9 3 7 10 5
+7 2 5 6 1 3 8 1 8 0 10 3 7 4 4 0 4 9 7 10 0 8 5 6 10 6 10 4 8 0 0 10 3 10 0 8 7 8 4 2 7 6 0 0 5 0 7 8 2 4 3 6 7 10 3 9 8 0 10 2 5 1 3 8 1 2 1 8 2 1 4 7 3 5 0 10 0 8 8 9 8 8 9 4 9 2 4 10 10 8 2 9 7 8 9 5 0 5 5 3
+5 10 1 8 5 1 9 4 1 3 6 4 1 4 7 10 9 9 4 2 4 6 9 2 0 1 6 5 4 5 8 3 1 2 5 6 2 9 4 2 9 1 4 1 0 7 5 2 10 2 10 2 9 10 8 8 10 10 1 7 0 5 5 8 9 6 1 3 7 9 4 9 7 8 6 5 5 5 5 2 3 7 1 5 10 10 0 3 3 0 1 7 7 9 6 8 10 4 3 3
+10 3 2 6 10 1 2 7 8 6 1 0 1 10 2 4 4 2 7 2 3 1 5 10 2 7 6 2 3 3 4 9 5 1 1 8 2 9 8 10 3 10 8 10 2 5 2 7 0 9 8 9 3 0 7 0 6 8 6 10 5 2 9 7 8 9 1 3 10 9 4 7 1 8 0 4 10 4 7 1 8 4 10 3 1 2 7 2 7 0 5 9 4 9 8 7 4 3 1 8
+4 7 7 4 9 3 0 4 3 9 6 8 8 1 6 5 6 0 1 6 4 4 7 3 8 8 6 4 2 7 6 5 9 1 7 9 7 1 4 6 2 2 4 3 2 8 2 4 9 10 9 4 7 2 3 6 3 0 9 5 6 9 8 7 8 10 5 3 1 8 6 1 7 4 6 5 10 5 6 4 0 2 5 1 2 5 9 10 2 4 7 10 2 6 1 5 1 3 9 0
+8 3 0 1 5 3 8 2 0 0 1 7 5 2 4 3 10 6 10 7 3 0 1 4 2 0 5 9 6 7 2 9 8 9 8 8 8 7 1 2 1 0 6 3 7 9 5 7 10 4 7 3 8 1 7 0 7 10 9 9 5 3 2 2 9 8 8 3 6 4 2 7 7 3 10 6 8 8 9 6 1 3 9 3 6 1 5 1 0 10 3 3 0 8 8 4 7 7 0 7
+7 9 10 10 6 6 4 0 8 4 3 10 4 9 2 4 2 6 3 6 1 1 2 10 6 4 10 1 0 0 6 8 3 5 1 1 9 1 2 7 8 0 6 1 10 8 10 8 1 1 9 10 1 0 2 6 5 0 7 10 7 10 8 7 10 7 1 6 6 10 8 7 0 10 2 10 1 3 1 10 0 6 8 7 9 10 3 9 8 9 0 6 2 1 0 10 7 7 1 4
+9 2 1 5 1 2 0 6 2 10 5 6 9 0 1 1 3 2 2 2 4 5 4 7 3 3 10 2 10 8 0 3 5 1 1 6 0 8 2 1 0 6 6 5 5 3 8 9 1 0 5 6 5 7 4 1 4 2 1 7 5 7 8 10 7 3 0 9 8 1 7 3 7 2 9 3 6 7 1 8 10 0 10 9 0 6 7 4 8 6 4 2 4 7 3 9 0 4 0 2
+7 6 0 7 9 3 4 7 7 4 1 4 4 9 3 2 2 6 10 8 1 3 8 5 2 9 3 9 10 0 10 10 4 9 3 6 7 7 0 2 2 3 3 6 3 7 0 8 9 6 5 4 10 10 9 6 7 2 10 6 9 1 0 9 4 3 0 10 3 4 2 9 4 8 2 8 6 2 10 10 5 8 3 10 8 10 4 5 0 6 5 5 5 9 6 4 3 6 10 10
+6 6 9 9 1 8 8 2 10 3 1 8 3 10 1 5 0 3 4 6 1 7 7 7 10 7 2 0 8 9 1 7 8 1 7 4 9 1 7 1 5 8 9 9 8 6 7 0 10 8 4 2 8 0 5 1 7 2 1 5 2 1 1 10 10 1 4 10 5 8 7 10 8 5 2 1 1 3 8 1 3 5 10 0 7 10 6 7 3 7 0 9 5 10 0 0 2 3 7 7
+4 7 10 7 1 8 5 3 8 0 1 6 4 3 4 5 0 6 0 5 0 3 8 6 2 3 3 5 3 10 9 1 2 1 2 6 7 6 2 0 9 9 1 2 10 7 4 0 10 10 6 4 0 5 6 9 7 0 3 4 5 3 10 9 7 3 8 1 8 7 6 5 9 5 6 10 9 3 2 0 10 1 1 10 9 1 9 10 4 0 8 4 10 1 7 8 1 7 9 10
+8 4 1 1 4 4 9 1 4 6 0 1 10 3 4 10 1 5 1 3 2 10 0 9 5 2 7 6 3 0 3 9 10 5 1 4 0 3 6 7 6 8 10 7 2 4 10 7 9 2 10 8 1 9 3 10 9 4 1 8 9 8 0 3 8 5 9 9 8 8 8 10 8 8 7 7 6 5 10 10 6 9 2 10 7 5 5 1 9 7 10 2 1 4 4 0 1 4 1 4
+3 3 0 9 2 2 7 8 6 0 3 5 6 3 10 8 8 8 9 0 6 5 3 10 1 2 8 7 10 10 1 1 0 9 10 9 5 5 7 7 10 1 0 10 7 6 6 9 3 6 3 5 5 6 2 7 10 6 10 0 1 4 8 9 2 0 1 3 10 2 3 4 3 4 5 8 10 6 1 10 1 5 1 9 4 5 1 2 4 6 9 4 0 4 9 7 1 2 6 5
+8 3 2 4 5 3 2 2 3 1 6 4 10 9 3 3 10 6 3 4 10 2 6 5 6 6 7 8 6 10 2 8 2 10 9 7 9 7 0 7 6 3 3 10 9 10 7 0 2 6 10 5 9 2 7 0 5 4 8 1 1 6 2 4 7 6 1 10 2 3 2 10 10 8 5 0 9 2 1 7 2 3 6 3 6 9 0 4 2 4 9 9 3 4 8 8 8 7 7 9
+10 8 0 0 9 8 10 9 0 4 2 6 3 0 8 1 0 7 4 9 8 4 9 8 2 6 7 1 10 2 5 8 3 10 0 2 7 7 5 8 1 9 4 4 0 6 6 3 0 5 9 2 4 10 1 0 0 6 5 0 1 3 10 5 4 1 4 6 1 7 1 1 9 1 3 9 5 1 1 6 4 9 7 9 9 5 7 0 9 4 7 6 9 2 9 9 9 7 5 7
+9 2 8 7 8 6 9 3 8 9 9 8 2 1 1 7 6 1 10 9 0 3 7 10 7 1 1 9 1 10 1 0 3 9 0 2 9 10 9 9 9 1 8 10 8 1 2 2 10 5 3 7 3 7 4 8 9 10 6 6 2 10 1 2 7 6 5 10 3 8 6 10 10 8 0 5 9 9 1 10 8 3 3 3 2 6 3 3 7 1 3 6 8 6 3 10 1 9 9 4
+3 3 1 3 8 6 8 10 6 5 1 6 7 8 10 1 8 4 4 10 1 10 7 6 6 7 7 4 10 7 4 9 7 9 3 2 4 1 7 6 0 1 4 10 1 6 2 5 5 8 5 4 8 9 5 0 6 1 10 0 2 10 1 2 8 9 1 10 7 2 0 3 10 9 10 7 1 8 3 7 4 9 1 1 9 3 2 6 9 1 3 0 9 5 9 0 8 4 9 0
+4 0 2 9 6 3 10 8 6 4 9 7 6 3 9 8 5 3 2 9 8 10 0 10 7 1 6 4 7 3 3 4 7 9 6 1 5 2 9 5 7 4 8 1 0 0 0 6 4 6 10 0 2 5 4 1 9 8 2 6 7 0 10 0 1 9 10 6 10 7 1 0 1 9 9 3 7 6 5 0 5 5 5 9 7 5 0 8 4 9 0 3 8 1 4 5 7 9 9 10
+3 4 3 10 0 3 4 2 4 4 0 1 6 2 3 1 5 10 8 1 1 0 10 4 9 9 9 3 2 9 3 8 4 10 9 4 4 6 8 6 1 1 4 0 2 7 4 8 0 1 8 5 0 5 1 9 1 7 1 6 4 0 0 8 5 4 8 9 0 9 9 0 3 2 1 8 8 6 2 10 2 10 5 10 1 10 4 6 4 4 10 1 8 0 4 7 3 8 10 3
+5 1 0 10 5 2 8 8 10 10 3 1 7 0 3 9 7 9 3 0 0 10 3 6 0 9 7 3 2 2 4 3 7 9 2 9 7 5 1 1 10 7 7 0 7 8 6 1 1 9 2 5 10 5 4 6 0 0 5 7 5 10 0 5 2 6 4 10 10 2 0 4 7 4 0 0 6 4 6 4 7 4 6 6 5 9 0 6 3 2 2 3 7 2 2 2 0 9 8 2
+4 4 3 7 5 1 1 1 8 6 5 4 3 4 2 0 0 10 1 5 5 10 8 9 6 9 7 5 2 0 1 3 10 2 0 0 5 6 8 5 1 0 7 6 6 6 1 5 6 4 10 7 0 10 1 1 0 10 10 3 4 4 2 9 2 7 3 1 6 10 2 6 1 7 10 10 5 10 7 5 4 6 6 3 6 9 9 4 0 2 5 2 6 5 4 10 1 4 1 7
+6 10 4 7 8 7 7 10 10 3 8 1 1 0 9 8 0 10 1 3 8 4 6 1 4 3 8 3 7 3 1 8 2 0 2 2 2 0 2 7 3 4 9 4 1 6 9 10 4 1 3 7 7 5 1 5 3 3 6 8 10 9 8 4 8 10 0 3 5 5 5 6 5 7 4 0 5 6 6 9 1 7 5 8 0 2 3 1 7 1 7 3 4 2 5 8 3 5 6 3
+1 2 7 4 3 9 3 0 4 8 8 2 3 4 6 8 4 4 1 3 5 4 2 2 5 0 9 4 4 7 5 10 0 3 1 1 9 10 1 7 6 3 9 9 9 9 5 3 8 10 2 10 9 2 10 4 8 2 9 5 9 10 5 1 9 0 8 7 3 3 2 6 8 10 2 6 8 4 1 1 1 8 7 9 6 10 8 7 3 5 3 10 3 6 4 0 6 7 1 8
+10 4 7 2 3 10 1 4 0 8 5 3 7 6 10 9 2 6 2 3 0 6 7 8 9 2 7 7 0 6 1 7 1 1 1 10 6 10 5 5 7 1 6 6 10 7 4 5 8 10 1 4 2 8 10 3 6 7 3 6 1 2 10 2 3 3 5 10 7 1 4 7 4 7 6 4 8 0 8 10 2 8 10 7 3 1 1 9 4 3 2 6 7 1 6 3 1 6 0 8
+10 5 4 6 1 4 7 1 6 7 9 0 1 7 9 10 1 4 7 3 5 10 10 1 8 7 5 0 10 3 8 10 4 1 8 9 10 8 5 2 5 1 6 9 9 3 6 2 3 8 0 4 2 4 9 9 5 5 10 9 2 2 9 2 5 0 10 2 8 8 4 4 5 3 5 6 4 1 2 4 1 5 8 7 6 2 8 5 8 2 3 10 0 7 5 6 10 0 9 4
+8 9 9 3 8 8 8 4 0 7 9 4 0 10 2 7 9 7 4 10 7 9 5 4 10 9 7 2 5 1 2 10 2 10 10 1 4 10 8 7 9 2 8 7 0 5 2 1 7 2 2 4 1 7 10 3 0 0 1 0 6 10 6 1 0 9 6 6 2 0 5 4 3 8 2 5 4 1 5 2 0 9 3 5 2 8 2 2 5 8 6 5 4 2 10 6 7 8 6 7
+8 8 7 2 3 8 10 5 1 2 2 10 2 6 4 2 7 8 1 1 8 6 2 7 3 6 7 6 5 6 3 5 7 9 3 9 4 4 3 9 9 0 1 3 5 8 2 0 5 6 7 1 4 9 0 2 7 4 3 7 4 10 7 6 6 1 2 3 0 4 5 2 2 10 1 7 5 1 6 7 10 0 7 0 8 6 9 1 8 7 7 2 7 9 6 3 6 1 6 0
+7 2 2 5 8 9 4 7 1 8 8 3 8 4 6 1 1 10 9 10 1 0 0 1 3 6 2 2 2 6 2 3 5 10 3 10 0 7 3 4 5 3 4 3 2 9 6 5 0 7 6 8 8 5 3 4 9 5 9 9 5 8 10 5 10 6 7 1 10 7 0 2 7 0 7 10 0 6 4 0 8 4 3 2 8 8 1 5 9 6 10 0 3 5 2 9 2 9 9 9
+0 6 2 6 6 2 5 0 2 3 1 7 10 4 6 0 2 7 9 4 10 3 10 1 10 10 4 8 10 7 6 1 10 2 7 3 4 3 7 2 2 2 1 8 3 1 1 4 3 1 10 4 2 7 9 0 9 4 6 7 3 4 1 0 1 2 8 1 10 0 3 1 3 2 1 7 4 4 7 7 10 1 5 0 3 8 2 10 7 1 7 4 7 5 7 9 2 3 10 4
+10 0 9 6 8 1 5 1 7 8 10 0 2 6 6 9 8 10 5 7 8 9 8 8 4 9 7 10 8 10 6 4 3 3 10 8 2 4 6 5 6 2 8 2 10 4 0 8 1 2 1 9 6 5 6 10 8 3 8 4 2 1 8 1 1 5 7 10 5 7 1 8 1 8 5 1 9 9 7 3 1 3 10 6 0 6 4 8 5 9 10 3 6 1 9 5 4 9 10 5
+2 10 6 1 5 8 8 6 10 0 8 1 7 2 7 1 6 1 4 5 2 4 8 0 0 10 5 6 9 2 3 6 5 10 3 4 5 4 1 6 9 7 6 5 0 1 10 9 8 5 5 9 9 2 2 7 0 8 3 10 9 9 1 6 3 1 9 9 6 0 7 7 1 6 8 6 1 4 6 1 3 10 2 10 8 7 7 10 1 1 2 6 2 6 7 10 10 4 1 1
+4 9 8 4 7 5 7 0 10 6 4 10 2 2 3 5 7 1 8 4 7 5 5 6 6 8 1 1 4 4 5 2 4 5 4 2 3 9 10 6 2 5 0 10 7 0 5 7 8 5 6 10 5 2 10 10 5 1 0 3 8 8 10 3 4 10 2 1 7 4 4 9 1 2 2 9 7 5 6 6 8 10 8 1 8 4 4 0 1 3 5 9 9 10 5 7 2 9 2 9
+3 3 5 10 8 1 1 1 2 5 4 10 10 2 8 9 7 10 0 8 5 8 2 0 6 6 9 5 2 3 7 5 3 5 1 9 1 10 0 9 8 0 4 3 1 1 10 3 0 6 5 8 8 3 0 1 4 4 2 2 5 10 6 6 6 9 9 10 5 0 7 3 6 6 0 2 10 10 4 1 3 0 0 3 7 5 8 0 10 3 4 0 10 8 7 4 9 2 8 10
+4 3 7 9 0 6 7 1 3 3 6 5 7 2 8 4 2 1 4 4 4 3 6 1 8 4 9 7 8 1 0 2 1 7 0 2 3 4 7 2 8 1 5 0 2 9 5 1 2 1 7 5 6 8 10 3 3 8 10 5 8 0 3 3 7 3 6 1 0 8 9 6 4 3 2 6 10 0 3 3 3 4 9 4 8 3 1 10 4 3 7 8 10 2 0 7 8 6 8 9
+5 3 9 1 7 5 10 2 9 10 8 6 5 2 4 8 2 10 1 9 4 10 1 5 6 10 5 4 4 5 2 9 10 3 5 6 10 10 4 1 1 1 1 2 1 4 4 5 4 3 9 0 9 3 5 2 5 2 5 0 7 3 2 3 8 4 3 1 5 4 4 3 3 9 2 6 8 10 9 8 2 9 10 10 10 4 5 9 2 3 1 10 10 5 3 8 9 6 0 2
+9 10 7 1 0 1 1 1 2 9 0 9 5 6 6 6 1 7 4 7 9 8 3 1 9 5 4 3 7 9 2 9 5 1 6 7 6 9 10 0 4 1 3 0 8 6 6 3 6 8 5 8 4 0 2 0 0 10 9 10 9 4 8 7 6 7 0 0 9 8 1 7 2 7 3 1 6 6 7 0 4 1 7 7 5 1 4 4 5 3 7 6 0 2 4 10 0 6 2 3
+9 0 9 10 10 1 3 7 7 0 3 8 1 7 0 8 0 9 10 6 2 7 7 4 8 2 4 8 9 5 6 7 7 0 9 9 10 5 9 5 2 7 5 5 8 4 9 6 1 5 3 10 1 5 7 1 8 6 0 9 9 4 2 7 8 9 4 2 6 8 1 2 1 6 9 10 8 0 0 4 8 6 4 3 9 7 8 10 1 8 6 10 10 0 2 10 8 9 0 4
+3 7 7 9 0 9 9 8 1 9 1 4 9 4 10 2 4 2 10 0 10 0 9 0 9 0 0 10 1 10 6 5 4 8 7 7 3 3 3 5 9 2 6 1 2 2 8 3 9 3 5 0 1 3 7 2 3 3 6 8 8 8 6 3 2 9 1 4 10 0 4 4 5 1 2 0 5 3 1 8 4 6 10 0 4 6 9 9 8 8 5 0 0 7 8 9 4 9 0 3
+8 3 6 2 8 1 9 1 9 8 9 6 9 6 0 8 0 8 5 6 5 5 7 6 10 5 0 6 9 10 4 8 4 6 9 0 0 6 9 10 0 10 8 1 3 5 4 2 3 6 8 5 4 1 5 7 3 6 1 6 4 2 6 0 8 4 10 10 8 1 6 5 6 9 6 9 6 8 1 6 6 8 4 3 10 5 3 9 6 0 2 8 7 3 7 8 5 0 0 8
+5 2 5 6 10 2 8 10 2 1 7 4 3 4 2 5 7 4 3 4 0 3 9 6 5 2 6 0 10 6 4 8 6 6 9 6 8 0 4 1 0 4 5 1 5 7 6 10 0 3 9 4 10 7 0 9 10 2 3 0 9 10 8 4 1 8 5 7 7 0 0 1 4 1 8 3 1 3 6 3 10 10 0 9 9 7 6 1 5 7 9 5 9 10 8 6 1 0 5 3
+0 6 10 6 3 6 1 3 3 7 5 2 5 3 9 4 6 5 10 1 0 8 7 4 6 4 10 6 7 7 2 0 3 1 7 0 1 2 4 9 10 5 5 3 6 5 10 8 9 3 5 4 0 2 3 0 4 9 5 8 4 3 9 0 0 8 7 10 10 5 10 3 8 7 6 2 8 6 0 4 7 8 5 3 4 2 0 4 8 7 7 4 4 5 9 8 5 4 2 1
+4 10 1 9 1 8 8 4 7 10 5 3 4 8 0 4 8 0 9 8 0 7 3 9 5 9 4 5 7 8 6 4 7 1 8 10 5 9 1 3 10 5 7 0 3 8 7 10 2 10 1 4 4 10 9 6 4 5 6 10 3 5 8 5 7 8 10 8 8 0 7 10 2 10 4 5 0 3 2 9 5 4 2 3 5 0 7 0 5 3 9 5 1 5 4 8 10 7 0 0
+9 5 4 7 0 5 10 1 10 8 1 1 1 5 2 1 6 9 7 0 7 3 5 9 10 0 0 5 5 4 8 9 7 0 0 6 1 5 1 0 8 6 1 5 4 4 10 10 1 5 3 7 2 8 6 4 8 2 6 9 8 0 10 3 4 8 2 4 10 9 3 9 10 10 5 9 10 1 6 6 3 6 4 0 2 2 1 0 3 8 2 6 0 0 8 6 8 4 1 8
+1 5 1 8 3 6 2 9 0 3 5 8 5 10 7 5 0 0 8 5 10 10 10 4 5 6 6 3 3 1 2 10 9 4 9 1 1 6 0 6 7 0 1 4 8 9 10 8 0 8 0 2 4 1 8 7 9 0 3 2 5 8 8 5 8 8 6 6 7 9 9 0 1 2 9 4 2 7 5 4 10 5 3 2 10 5 1 2 1 4 7 3 1 7 0 5 3 5 8 8
+5 4 0 10 10 3 4 0 8 7 10 4 10 8 7 2 3 6 4 2 0 7 6 7 8 10 2 2 2 0 9 2 1 5 2 7 7 9 0 6 8 0 2 3 4 2 1 3 0 5 5 3 0 0 1 7 3 1 4 6 8 8 6 3 4 8 5 1 8 2 1 10 2 8 7 9 9 4 4 10 0 4 1 5 1 7 8 3 3 5 10 6 4 7 1 1 8 7 9 4
+5 6 2 8 10 1 3 6 6 3 2 2 0 6 8 5 4 0 10 10 6 7 10 1 5 0 10 4 10 6 0 8 7 3 8 7 4 9 7 4 0 6 1 5 4 1 9 7 4 2 4 4 5 9 6 5 8 2 3 7 1 3 4 6 5 8 10 3 7 9 6 8 6 1 7 3 1 10 7 4 1 2 2 6 3 5 5 4 9 4 1 3 10 2 0 2 9 8 0 4
+9 2 0 2 8 4 4 2 8 4 2 6 3 5 1 8 5 8 3 4 1 6 2 2 6 6 6 4 1 0 5 3 5 2 8 4 7 9 3 9 10 0 6 4 8 7 3 9 7 6 9 10 3 9 3 10 2 4 3 5 10 1 0 6 7 2 0 7 8 4 2 2 9 9 5 5 3 7 5 7 6 1 7 7 0 7 0 1 0 5 8 9 6 0 0 3 10 9 3 8
+1 3 9 6 0 7 6 6 3 9 5 8 1 0 8 9 1 2 9 4 1 1 4 5 7 2 6 3 3 8 7 1 3 7 10 2 4 10 0 3 9 2 3 10 4 2 1 5 9 6 7 3 2 8 4 7 9 0 9 3 5 7 9 9 2 10 10 2 8 8 9 0 3 9 6 5 7 2 10 0 6 8 4 2 8 10 7 7 2 4 8 9 3 1 6 3 1 7 10 2
+7 6 0 6 5 7 8 1 6 1 1 0 3 10 4 9 1 4 5 2 2 7 10 8 10 6 1 6 3 0 4 9 6 4 10 1 10 4 6 3 4 8 9 2 7 3 9 5 6 6 4 5 2 1 5 4 4 1 0 2 10 3 9 0 8 8 5 3 9 10 0 1 9 9 10 4 4 5 7 7 8 3 0 5 6 8 6 3 8 5 4 0 8 0 7 10 7 3 7 0
+8 4 9 5 5 3 3 4 7 4 8 2 1 5 7 9 2 6 10 0 2 4 7 10 2 4 6 10 2 6 8 4 6 10 3 5 2 4 5 2 5 0 1 7 9 4 5 8 3 8 6 7 6 3 0 1 8 1 0 0 5 6 2 5 0 6 9 7 7 1 2 7 10 7 9 7 8 3 4 7 5 6 1 4 2 8 10 4 10 1 2 0 3 9 1 9 10 7 9 8
+4 0 6 4 9 9 2 3 9 2 2 9 7 2 8 4 6 9 6 6 0 6 2 7 1 6 1 2 6 9 10 4 7 7 4 9 2 5 8 7 4 5 0 2 9 2 2 1 4 4 8 5 0 5 2 10 0 0 6 5 0 1 0 9 3 6 3 5 6 6 0 2 0 6 1 3 2 2 1 2 4 9 6 9 8 6 4 7 3 5 5 2 10 3 4 4 10 9 10 6
+2 10 7 7 0 2 4 8 8 2 6 5 0 6 9 9 4 8 10 10 5 0 9 1 10 5 5 3 7 10 6 10 7 7 8 5 6 3 8 4 1 5 0 10 2 8 7 8 10 3 10 5 7 4 7 7 6 0 1 6 9 5 8 9 8 7 1 10 10 2 0 1 8 8 1 0 1 5 9 4 0 8 9 3 1 3 2 7 4 8 9 6 0 6 2 10 6 7 6 7
+3 9 4 2 5 3 2 0 5 7 1 1 10 4 2 2 7 2 1 6 5 6 3 8 6 8 4 0 1 0 4 2 6 5 8 10 1 3 7 10 3 5 9 3 10 6 3 6 5 2 3 2 8 4 10 6 7 9 8 3 8 1 0 9 4 2 9 7 4 6 9 6 8 10 2 7 4 4 3 7 10 8 2 10 4 9 5 2 4 4 2 1 2 2 7 7 8 7 5 4
+1 4 10 8 8 2 10 7 2 3 9 2 4 0 10 0 7 6 2 3 4 6 7 7 0 1 7 6 7 7 9 2 3 1 6 8 6 1 5 4 4 5 3 3 4 2 2 9 8 3 9 6 5 5 4 6 10 9 1 0 0 7 9 4 9 5 10 8 2 7 7 1 5 10 7 10 8 6 6 4 2 10 7 9 4 5 9 10 7 3 3 0 7 1 6 7 1 1 1 6
+2 1 3 0 7 1 8 7 5 10 10 0 1 9 2 1 1 3 10 6 5 9 3 1 7 7 6 9 6 0 6 6 8 5 5 3 10 6 9 5 4 1 3 1 8 10 0 5 10 5 3 3 9 1 9 6 4 10 4 0 6 8 10 10 1 5 3 2 1 7 5 2 4 5 3 7 9 7 6 9 0 9 3 8 2 4 2 7 2 9 2 2 5 5 3 2 6 1 10 0
+0 6 1 3 4 4 10 5 6 8 9 10 8 1 2 7 2 6 8 5 6 7 10 2 9 4 3 2 4 9 2 2 10 10 9 3 6 3 0 10 9 7 10 5 3 4 1 1 3 10 7 2 5 8 8 10 2 7 0 10 8 7 5 10 1 1 6 4 3 0 6 0 4 10 6 3 5 4 3 7 8 10 0 10 0 8 2 9 0 7 4 8 1 8 1 7 1 10 7 0
+4 0 4 2 6 9 5 6 10 9 5 7 2 6 5 9 0 1 3 8 7 5 7 10 7 6 8 6 4 7 6 1 2 0 1 9 2 5 3 10 1 2 1 1 8 9 10 7 7 2 9 10 9 0 3 5 2 2 2 8 1 8 9 2 3 9 3 2 5 10 4 9 8 4 3 2 2 3 10 3 0 1 5 5 7 1 4 9 0 5 4 8 6 10 4 7 8 8 9 3

solution2/src/grids/20.txt

@@ -0,0 +1,20 @@
+0 0 2 1 1 2 1 0 0 1 2 0 0 2 1 0 1 1 2 1
+1 0 2 1 1 0 1 1 2 1 2 0 1 2 1 1 0 2 2 0
+2 2 2 0 1 0 0 2 0 0 1 2 0 0 1 2 2 2 2 0
+2 2 2 1 2 1 0 1 0 2 0 1 2 2 1 0 2 1 2 1
+0 1 0 0 2 1 1 0 2 1 1 2 2 2 1 0 0 2 1 1
+0 1 1 0 0 0 2 0 1 2 1 2 2 0 2 0 0 2 2 0
+0 2 0 1 2 0 1 1 1 2 2 0 2 0 1 1 1 2 1 2
+2 0 1 2 0 2 2 0 0 2 0 1 1 2 1 0 2 0 2 2
+0 0 1 2 1 2 0 2 2 0 2 0 1 1 2 1 2 0 0 2
+1 1 1 2 0 0 1 1 2 2 0 2 2 2 2 1 1 2 0 2
+0 0 1 0 0 1 1 1 2 0 2 2 1 0 1 0 2 0 0 2
+2 0 0 0 0 2 0 0 0 1 2 0 1 0 1 0 0 2 0 2
+0 0 0 1 1 0 1 1 1 2 0 2 2 0 0 1 1 2 0 2
+2 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 2 1 1
+2 1 0 0 1 0 2 1 2 2 2 1 0 0 1 0 1 1 1 0
+2 1 0 2 2 1 2 2 1 2 2 2 2 2 0 2 1 0 2 0
+0 0 1 2 2 0 1 1 0 1 0 2 0 0 2 1 0 1 0 1
+0 1 2 1 1 1 1 1 1 2 0 1 0 2 1 0 0 0 1 0
+2 0 1 2 2 2 0 0 0 0 2 1 2 1 0 0 1 0 0 1
+0 1 1 2 0 0 2 2 0 2 0 2 2 1 1 0 2 2 2 0

solution2/src/lib.rs

@@ -0,0 +1,108 @@
+use grid::{Grid, Path, Point};
+use std::collections::BTreeSet;
+use std::time::{Duration, SystemTime};
+
+pub mod grid;
+
+pub fn find_optimal_path(grid: &Grid, t: usize, T: u128, x: u16, y: u16) {
+    let mut paths_to_consider: BTreeSet<Path> = BTreeSet::new();
+    let taken_paths: Vec<u64> = vec![];
+
+    let path = Path::new(grid, x, y);
+
+    let mut max: Path = path.clone(); // sorry
+
+    paths_to_consider.insert(path);
+    let t0 = SystemTime::now();
+    let mut running = true;
+    let mut discrete_elapsed = 0;
+
+    while running {
+        let N = grid.size();
+        let mut current_path = paths_to_consider.pop_last().unwrap(); // assert Some
+
+        if current_path.value > max.value {
+            max = current_path.clone(); // sorry
+        }
+        while current_path.length() >= t {
+            current_path = paths_to_consider.pop_last().unwrap(); // highest
+            if current_path.value > max.value {
+                max = current_path.clone(); // sorry
+            }
+        }
+
+        let head = current_path.head();
+        let x = head.x;
+        let y = head.y;
+        let mut new_directions = vec![];
+
+        if y > 0 {
+            new_directions.push(Point::new(
+                x,
+                y - 1,
+                grid.get_value(x, y - 1, discrete_elapsed),
+            ));
+            if x < N - 1 {
+                new_directions.push(Point::new(
+                    x + 1,
+                    y - 1,
+                    grid.get_value(x + 1, y - 1, discrete_elapsed),
+                ));
+            }
+        }
+
+        if x > 0 {
+            new_directions.push(Point::new(
+                x - 1,
+                y,
+                grid.get_value(x - 1, y, discrete_elapsed),
+            ));
+            if y > 0 {
+                new_directions.push(Point::new(
+                    x - 1,
+                    y - 1,
+                    grid.get_value(x - 1, y - 1, discrete_elapsed),
+                ));
+            }
+        }
+
+        if x < N - 1 {
+            new_directions.push(Point::new(
+                x + 1,
+                y,
+                grid.get_value(x + 1, y, discrete_elapsed),
+            ));
+            if y < N - 1 {
+                new_directions.push(Point::new(
+                    x + 1,
+                    y + 1,
+                    grid.get_value(x + 1, y + 1, discrete_elapsed),
+                ));
+            }
+        }
+
+        if y < N - 1 {
+            new_directions.push(Point::new(
+                x,
+                y + 1,
+                grid.get_value(x, y + 1, discrete_elapsed),
+            ));
+            if x > 0 {
+                new_directions.push(Point::new(
+                    x - 1,
+                    y + 1,
+                    grid.get_value(x - 1, y + 1, discrete_elapsed),
+                ));
+            }
+        }
+
+        // continue?
+        let t1 = SystemTime::now();
+        if let Ok(elapsed) = t1.duration_since(t0) {
+            if elapsed.as_millis() > T {
+                running = false;
+            }
+        }
+        discrete_elapsed += 1;
+    }
+}

solution2/src/main.rs

@@ -0,0 +1,5 @@
+use solution2::grid::Grid;
+
+fn main() {
+    Grid::new(20);
+}