From 923502c275d71b4a2a4de6d148f3a3d7e439f1e0 Mon Sep 17 00:00:00 2001
From: Luca Lombardo <l.lombardo@protonmail.com>
Date: Mon, 13 Nov 2023 23:23:27 +0100
Subject: [PATCH] new problem

---
 2023_11_09/minimum-number-of-jumps/Cargo.toml |  8 ++++
 2023_11_09/minimum-number-of-jumps/README.md  |  3 ++
 .../minimum-number-of-jumps/src/main.rs       | 44 +++++++++++++++++++
 3 files changed, 55 insertions(+)
 create mode 100644 2023_11_09/minimum-number-of-jumps/Cargo.toml
 create mode 100644 2023_11_09/minimum-number-of-jumps/README.md
 create mode 100644 2023_11_09/minimum-number-of-jumps/src/main.rs

diff --git a/2023_11_09/minimum-number-of-jumps/Cargo.toml b/2023_11_09/minimum-number-of-jumps/Cargo.toml
new file mode 100644
index 0000000..b425262
--- /dev/null
+++ b/2023_11_09/minimum-number-of-jumps/Cargo.toml
@@ -0,0 +1,8 @@
+[package]
+name = "minimum-number-of-jumps"
+version = "0.1.0"
+edition = "2021"
+
+# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
+
+[dependencies]
diff --git a/2023_11_09/minimum-number-of-jumps/README.md b/2023_11_09/minimum-number-of-jumps/README.md
new file mode 100644
index 0000000..d99dddd
--- /dev/null
+++ b/2023_11_09/minimum-number-of-jumps/README.md
@@ -0,0 +1,3 @@
+The algorithm iterates over the `nums` vector exactly once. For each element in the `nums` vector, it performs a constant amount of work - it updates `cur_farthest` and checks if `i` is equal to `cur_end`. If `i` is equal to `cur_end`, it increments `jumps` and updates `cur_end`. All of these operations take constant time.
+
+Therefore, the time complexity of the algorithm is O(n), where n is the length of the `nums` vector.
diff --git a/2023_11_09/minimum-number-of-jumps/src/main.rs b/2023_11_09/minimum-number-of-jumps/src/main.rs
new file mode 100644
index 0000000..63ea440
--- /dev/null
+++ b/2023_11_09/minimum-number-of-jumps/src/main.rs
@@ -0,0 +1,44 @@
+impl Solution {
+    pub fn jump(nums: Vec<i32>) -> i32 {
+        let mut jumps = 0;
+        let mut cur_end = 0;
+        let mut cur_farthest = 0;
+        for i in 0..nums.len() - 1 {
+            cur_farthest = cur_farthest.max(i + nums[i] as usize);
+            if i == cur_end {
+                jumps += 1;
+                cur_end = cur_farthest;
+            }
+        }
+        jumps
+    }
+}
+
+struct Solution;
+
+// write tests
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_1() {
+        assert_eq!(Solution::jump(vec![2, 3, 1, 1, 4]), 2);
+    }
+
+    #[test]
+    fn test_2() {
+        assert_eq!(Solution::jump(vec![2, 3, 0, 1, 4]), 2);
+    }
+
+    #[test]
+    fn test_3() {
+        assert_eq!(Solution::jump(vec![1, 2, 3]), 2);
+    }
+
+    #[test]
+    fn test_4() {
+        assert_eq!(Solution::jump(vec![1, 2, 1, 1, 1]), 3);
+    }
+}