20241017 finished.

src/problem/mod.rs

@@ -266,3 +266,4 @@ mod p1884_egg_drop_with_2_eggs_and_n_floors;
 mod p887_super_egg_drop;
 mod p3200_maximum_height_of_a_triangle;
 mod p3194_minimum_average_of_smallest_and_largest_elements;
+mod p3193_count_the_number_of_inversions;

src/problem/p3193_count_the_number_of_inversions.rs

@@ -0,0 +1,82 @@
+/**
+ * [3193] Count the Number of Inversions
+ */
+pub struct Solution {}
+
+
+// submission codes start here
+use std::collections::HashMap;
+
+const MOD: i32 = 1_000_000_007;
+
+impl Solution {
+    pub fn number_of_permutations(n: i32, requirements: Vec<Vec<i32>>) -> i32 {
+        let n = n as usize;
+        let mut requirements_map = HashMap::new();
+        let mut max_pair_count = 0;
+
+        requirements_map.insert(0, 0);
+        for requirement in requirements {
+            requirements_map.insert(requirement[0] as usize, requirement[1] as usize);
+            max_pair_count = max_pair_count.max(requirement[1]);
+        }
+
+        if let Some(count) = requirements_map.get(&0) {
+            if *count != 0 {
+                return 0;
+            }
+        }
+
+        let mut dp = vec![vec![-1; max_pair_count as usize + 1]; n];
+
+        if let Some(&count) = requirements_map.get(&(n - 1)) {
+            Self::dfs(n - 1, count, &requirements_map, &mut dp)
+        } else {
+            Self::dfs(n - 1, 0, &requirements_map, &mut dp)
+        }
+    }
+
+    fn dfs(end: usize, count: usize, requirements: &HashMap<usize, usize>, dp: &mut Vec<Vec<i32>>) -> i32 {
+        if end == 0 {
+            return 1;
+        }
+
+        if dp[end][count] != -1 {
+            return dp[end][count];
+        }
+
+        if let Some(&c) = requirements.get(&(end - 1)) {
+            if c <= count && count <= end + c {
+                let r = Self::dfs(end - 1, c, requirements, dp);
+                dp[end][count] = r;
+                r
+            } else {
+                dp[end][count] = 0;
+                0
+            }
+        } else {
+            let mut r = 0;
+            for i in 0..=end.min(count) {
+                r = (r + Self::dfs(end - 1, count - i, requirements, dp)) % MOD;
+            }
+
+            dp[end][count] = r;
+            r
+        }
+    }
+}
+
+// submission codes end
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_3193() {
+        assert_eq!(1, Solution::number_of_permutations(2, vec![vec![1, 1]]));
+        assert_eq!(2, Solution::number_of_permutations(3, vec![vec![2, 2], vec![0, 0]]));
+        assert_eq!(1, Solution::number_of_permutations(3, vec![vec![2, 2], vec![1, 1], vec![0, 0]]));
+        assert_eq!(1, Solution::number_of_permutations(2, vec![vec![0, 0], vec![1, 0]]));
+    }
+}