diff --git a/src/lib.rs b/src/lib.rs
index ce039c1c..dac963ab 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -1338,6 +1338,7 @@ pub mod problem_1622_fancy_sequence;
 pub mod problem_1624_largest_substring_between_two_equal_characters;
 pub mod problem_1625_lexicographically_smallest_string_after_applying_operations;
 pub mod problem_1626_best_team_with_no_conflicts;
+pub mod problem_1627_graph_connectivity_with_threshold;
 pub mod problem_1629_slowest_key;
 pub mod problem_1630_arithmetic_subarrays;
 pub mod problem_1631_path_with_minimum_effort;
diff --git a/src/problem_1627_graph_connectivity_with_threshold/mod.rs b/src/problem_1627_graph_connectivity_with_threshold/mod.rs
new file mode 100644
index 00000000..a3189c09
--- /dev/null
+++ b/src/problem_1627_graph_connectivity_with_threshold/mod.rs
@@ -0,0 +1,355 @@
+pub mod union_find;
+
+pub trait Solution {
+    fn are_connected(n: i32, threshold: i32, queries: Vec<Vec<i32>>) -> Vec<bool>;
+}
+
+#[cfg(test)]
+mod tests {
+    use super::Solution;
+
+    const LONG_TEST_CASE_QUERIES: &[[i32; 2]] = &[
+        [8, 3],
+        [14, 9],
+        [22, 23],
+        [22, 25],
+        [12, 6],
+        [17, 3],
+        [25, 17],
+        [26, 14],
+        [4, 12],
+        [16, 12],
+        [16, 9],
+        [26, 3],
+        [20, 22],
+        [17, 18],
+        [3, 16],
+        [20, 17],
+        [24, 9],
+        [12, 26],
+        [1, 4],
+        [23, 24],
+        [12, 8],
+        [6, 22],
+        [18, 20],
+        [22, 13],
+        [11, 3],
+        [8, 18],
+        [18, 15],
+        [16, 11],
+        [4, 15],
+        [25, 3],
+        [1, 12],
+        [2, 15],
+        [2, 1],
+        [5, 2],
+        [15, 25],
+        [18, 10],
+        [16, 1],
+        [16, 6],
+        [7, 22],
+        [26, 13],
+        [24, 6],
+        [23, 4],
+        [9, 25],
+        [24, 26],
+        [7, 17],
+        [6, 25],
+        [2, 9],
+        [13, 9],
+        [1, 20],
+        [5, 26],
+        [15, 14],
+        [5, 16],
+        [7, 9],
+        [15, 19],
+        [16, 2],
+        [1, 13],
+        [3, 7],
+        [9, 26],
+        [3, 13],
+        [8, 23],
+        [7, 1],
+        [10, 19],
+        [23, 9],
+        [16, 13],
+        [18, 25],
+        [14, 2],
+        [16, 17],
+        [21, 7],
+        [19, 4],
+        [6, 9],
+        [25, 12],
+        [9, 5],
+        [1, 18],
+        [26, 7],
+        [12, 21],
+        [12, 20],
+        [24, 3],
+        [24, 19],
+        [5, 14],
+        [12, 3],
+        [20, 2],
+        [7, 23],
+        [24, 21],
+        [4, 5],
+        [8, 20],
+        [19, 22],
+        [21, 5],
+        [26, 6],
+        [16, 19],
+        [23, 25],
+        [18, 26],
+        [10, 25],
+        [3, 5],
+        [14, 19],
+        [21, 22],
+        [22, 1],
+        [4, 25],
+        [15, 11],
+        [15, 24],
+        [10, 15],
+        [23, 17],
+        [25, 11],
+        [23, 21],
+        [8, 2],
+        [5, 22],
+        [19, 23],
+        [3, 20],
+        [21, 2],
+        [5, 25],
+        [4, 7],
+        [8, 21],
+        [1, 6],
+        [18, 6],
+        [17, 13],
+        [26, 8],
+        [23, 6],
+        [6, 11],
+        [6, 10],
+        [7, 8],
+        [18, 5],
+        [20, 15],
+        [11, 14],
+        [24, 1],
+        [16, 24],
+        [2, 22],
+        [3, 22],
+        [25, 21],
+        [7, 2],
+        [1, 11],
+        [19, 12],
+        [19, 1],
+        [22, 8],
+        [10, 3],
+        [16, 10],
+        [6, 15],
+        [26, 4],
+        [9, 8],
+        [5, 20],
+        [4, 13],
+        [23, 3],
+        [18, 21],
+        [10, 23],
+        [14, 16],
+        [24, 25],
+        [13, 11],
+        [4, 2],
+        [26, 2],
+        [3, 1],
+        [18, 14],
+        [14, 6],
+        [6, 2],
+        [14, 4],
+        [24, 11],
+        [1, 5],
+        [4, 21],
+        [22, 17],
+        [17, 14],
+        [10, 11],
+        [11, 26],
+        [6, 4],
+        [19, 26],
+        [16, 20],
+        [18, 4],
+        [8, 6],
+        [26, 25],
+        [10, 17],
+        [20, 13],
+        [9, 20],
+        [16, 18],
+        [8, 5],
+        [5, 6],
+        [21, 26],
+        [17, 21],
+        [26, 16],
+        [5, 7],
+        [14, 7],
+        [3, 9],
+        [23, 18],
+        [9, 10],
+        [17, 26],
+        [15, 16],
+        [13, 21],
+        [1, 21],
+        [17, 8],
+        [21, 9],
+        [10, 8],
+        [24, 4],
+        [19, 20],
+        [20, 7],
+        [1, 8],
+        [1, 9],
+        [24, 20],
+        [18, 7],
+        [4, 9],
+        [2, 17],
+        [22, 18],
+        [25, 19],
+        [7, 6],
+        [23, 5],
+        [14, 1],
+        [13, 24],
+        [5, 13],
+        [14, 21],
+        [23, 26],
+        [6, 13],
+        [10, 5],
+        [17, 1],
+        [24, 22],
+        [3, 15],
+        [11, 5],
+        [22, 14],
+        [17, 24],
+        [7, 25],
+        [24, 7],
+        [18, 11],
+        [26, 1],
+        [11, 7],
+        [25, 20],
+        [24, 8],
+        [19, 17],
+        [12, 23],
+        [17, 12],
+        [12, 13],
+        [23, 13],
+        [14, 24],
+        [16, 22],
+        [25, 13],
+        [18, 24],
+        [20, 23],
+        [25, 16],
+        [24, 5],
+        [10, 14],
+        [12, 14],
+        [3, 14],
+        [11, 9],
+        [8, 13],
+        [21, 16],
+        [12, 9],
+        [26, 15],
+        [4, 11],
+        [5, 17],
+        [23, 14],
+        [20, 10],
+        [11, 23],
+        [2, 11],
+        [10, 7],
+        [4, 8],
+        [24, 10],
+        [25, 8],
+        [8, 16],
+        [7, 13],
+        [3, 18],
+        [2, 23],
+        [10, 26],
+        [19, 11],
+        [12, 24],
+        [2, 3],
+        [15, 9],
+        [11, 17],
+        [11, 8],
+        [21, 19],
+        [14, 8],
+        [11, 20],
+        [21, 10],
+        [12, 7],
+        [12, 5],
+        [21, 15],
+        [11, 12],
+        [2, 10],
+        [3, 6],
+        [17, 15],
+        [2, 24],
+        [16, 23],
+        [13, 15],
+        [19, 18],
+        [13, 10],
+        [4, 3],
+        [21, 20],
+        [22, 9],
+        [10, 12],
+        [18, 2],
+        [2, 12],
+        [6, 21],
+        [13, 19],
+        [15, 1],
+        [15, 5],
+        [3, 19],
+        [22, 10],
+        [17, 4],
+        [1, 10],
+        [7, 15],
+        [6, 20],
+        [14, 20],
+        [11, 21],
+        [18, 13],
+        [19, 5],
+        [20, 26],
+    ];
+
+    const LONG_TEST_CASE_EXPECTED: &[bool] = &[
+        false, false, false, false, true, false, false, false, true, true, true, false, false, false, false, false,
+        true, false, false, false, true, false, true, false, false, true, true, false, true, false, false, false,
+        false, false, true, true, false, true, false, true, true, false, true, false, false, true, false, false, false,
+        false, false, true, false, false, false, false, false, false, false, false, false, false, false, false, true,
+        false, false, true, false, true, true, true, false, false, false, true, false, false, false, false, false,
+        false, false, true, true, false, false, false, false, false, false, true, false, false, false, false, true,
+        false, true, true, false, false, false, false, false, false, false, false, true, false, false, false, true,
+        false, false, false, false, true, false, true, true, false, false, true, false, false, false, false, false,
+        false, false, false, false, true, true, false, true, true, false, false, false, false, false, true, false,
+        false, false, false, false, false, false, false, false, false, false, false, false, false, false, true, false,
+        true, true, true, false, false, false, true, true, true, true, false, false, false, false, true, false, false,
+        true, false, true, false, false, false, false, true, true, false, false, false, false, true, false, true,
+        false, false, false, false, false, false, false, false, true, false, false, true, false, false, false, false,
+        false, false, false, false, false, false, false, true, true, false, false, false, false, false, false, false,
+        false, true, false, true, true, false, false, false, false, false, false, true, false, false, false, false,
+        true, false, false, false, true, true, true, true, false, false, false, false, false, true, false, true, false,
+        false, false, false, false, false, false, true, false, false, false, false, false, false, false, false, false,
+        false, false, false, false, true, false, false, false, false, false, true, false, false, false, false, false,
+        true, false, false, false, false, false,
+    ];
+
+    pub fn run<S: Solution>() {
+        let test_cases = [
+            ((6, 2, &[[1, 4], [2, 5], [3, 6]] as &[_]), &[false, false, true] as &[_]),
+            (
+                (6, 0, &[[4, 5], [3, 4], [3, 2], [2, 6], [1, 3]]),
+                &[true, true, true, true, true],
+            ),
+            (
+                (5, 1, &[[4, 5], [4, 5], [3, 2], [2, 3], [3, 4]]),
+                &[false, false, false, false, false],
+            ),
+            ((9, 1, &[[6, 8], [6, 9], [8, 9]]), &[true, true, true]),
+            ((26, 3, LONG_TEST_CASE_QUERIES), LONG_TEST_CASE_EXPECTED),
+        ];
+
+        for ((n, threshold, queries), expected) in test_cases {
+            assert_eq!(
+                S::are_connected(n, threshold, queries.iter().copied().map(Vec::from).collect()),
+                expected,
+            );
+        }
+    }
+}
diff --git a/src/problem_1627_graph_connectivity_with_threshold/union_find.rs b/src/problem_1627_graph_connectivity_with_threshold/union_find.rs
new file mode 100644
index 00000000..5cc2ca06
--- /dev/null
+++ b/src/problem_1627_graph_connectivity_with_threshold/union_find.rs
@@ -0,0 +1,81 @@
+pub struct Solution;
+
+// ------------------------------------------------------ snip ------------------------------------------------------ //
+
+use std::convert::TryInto;
+
+impl Solution {
+    fn find_root(union_find: &mut [(u16, u16)], node: u16) -> (u16, u16) {
+        let state = union_find[usize::from(node)];
+
+        if state.0 == 0 {
+            (node, state.1)
+        } else {
+            let result = Self::find_root(union_find, state.0);
+
+            if state.0 != result.0 {
+                union_find[usize::from(node)].0 = result.0;
+            }
+
+            result
+        }
+    }
+
+    fn union(union_find: &mut [(u16, u16)], left: u16, right: u16) {
+        let left_root = Self::find_root(union_find, left);
+        let right_root = Self::find_root(union_find, right);
+
+        if left_root.0 != right_root.0 {
+            let (child, parent) = if left_root.1 < right_root.1 {
+                (left_root.0, right_root.0)
+            } else {
+                if left_root.1 == right_root.1 {
+                    union_find[usize::from(left_root.0)].1 += 1;
+                }
+
+                (right_root.0, left_root.0)
+            };
+
+            union_find[usize::from(child)].0 = parent;
+        }
+    }
+
+    pub fn are_connected(n: i32, threshold: i32, queries: Vec<Vec<i32>>) -> Vec<bool> {
+        let n = n as u16;
+        let threshold = threshold as u16 + 1;
+        let mut union_find = vec![(0, 0); usize::from(n) + 1];
+
+        assert!(threshold != 0);
+
+        for left in threshold..=n / 2 {
+            for right in (left * 2..=n).step_by(usize::from(left)) {
+                Self::union(&mut union_find, left, right);
+            }
+        }
+
+        queries
+            .into_iter()
+            .map(|query| {
+                let [a, b]: [_; 2] = query.try_into().ok().unwrap();
+
+                Self::find_root(&mut union_find, a as _) == Self::find_root(&mut union_find, b as _)
+            })
+            .collect()
+    }
+}
+
+// ------------------------------------------------------ snip ------------------------------------------------------ //
+
+impl super::Solution for Solution {
+    fn are_connected(n: i32, threshold: i32, queries: Vec<Vec<i32>>) -> Vec<bool> {
+        Self::are_connected(n, threshold, queries)
+    }
+}
+
+#[cfg(test)]
+mod tests {
+    #[test]
+    fn test_solution() {
+        super::super::tests::run::<super::Solution>();
+    }
+}