Added tasks 3492-3495

Author: javadev

src/main/kotlin/g3401_3500/s3492_maximum_containers_on_a_ship/Solution.kt

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+package g3401_3500.s3492_maximum_containers_on_a_ship
+
+// #Easy #Math #2025_03_23_Time_0_ms_(100.00%)_Space_40.86_MB_(89.29%)
+
+import kotlin.math.min
+
+class Solution {
+    fun maxContainers(n: Int, w: Int, maxWeight: Int): Int {
+        val c = n * n
+        val count = maxWeight / w
+        return min(c, count)
+    }
+}

src/main/kotlin/g3401_3500/s3492_maximum_containers_on_a_ship/readme.md

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+3492\. Maximum Containers on a Ship
+
+Easy
+
+You are given a positive integer `n` representing an `n x n` cargo deck on a ship. Each cell on the deck can hold one container with a weight of **exactly** `w`.
+
+However, the total weight of all containers, if loaded onto the deck, must not exceed the ship's maximum weight capacity, `maxWeight`.
+
+Return the **maximum** number of containers that can be loaded onto the ship.
+
+**Example 1:**
+
+**Input:** n = 2, w = 3, maxWeight = 15
+
+**Output:** 4
+
+**Explanation:**
+
+The deck has 4 cells, and each container weighs 3. The total weight of loading all containers is 12, which does not exceed `maxWeight`.
+
+**Example 2:**
+
+**Input:** n = 3, w = 5, maxWeight = 20
+
+**Output:** 4
+
+**Explanation:**
+
+The deck has 9 cells, and each container weighs 5. The maximum number of containers that can be loaded without exceeding `maxWeight` is 4.
+
+**Constraints:**
+
+*   `1 <= n <= 1000`
+*   `1 <= w <= 1000`
+*   <code>1 <= maxWeight <= 10<sup>9</sup></code>

src/main/kotlin/g3401_3500/s3493_properties_graph/Solution.kt

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+package g3401_3500.s3493_properties_graph
+
+// #Medium #Array #Hash_Table #Depth_First_Search #Breadth_First_Search #Graph #Union_Find
+// #2025_03_23_Time_45_ms_(100.00%)_Space_65.05_MB_(60.00%)
+
+import java.util.BitSet
+
+class Solution {
+    private lateinit var parent: IntArray
+
+    fun numberOfComponents(properties: Array<IntArray>, k: Int): Int {
+        val al = convertToList(properties)
+        val n = al.size
+        val bs: MutableList<BitSet> = ArrayList<BitSet>(n)
+        for (integers in al) {
+            val bitset = BitSet(101)
+            for (num in integers) {
+                bitset.set(num)
+            }
+            bs.add(bitset)
+        }
+        parent = IntArray(n)
+        for (i in 0..<n) {
+            parent[i] = i
+        }
+        for (i in 0..<n) {
+            for (j in i + 1..<n) {
+                val temp = bs[i].clone() as BitSet
+                temp.and(bs[j])
+                val common = temp.cardinality()
+                if (common >= k) {
+                    unionn(i, j)
+                }
+            }
+        }
+        val comps: MutableSet<Int> = HashSet<Int>()
+        for (i in 0..<n) {
+            comps.add(findp(i))
+        }
+        return comps.size
+    }
+
+    private fun findp(x: Int): Int {
+        if (parent[x] != x) {
+            parent[x] = findp(parent[x])
+        }
+        return parent[x]
+    }
+
+    private fun unionn(a: Int, b: Int) {
+        val pa = findp(a)
+        val pb = findp(b)
+        if (pa != pb) {
+            parent[pa] = pb
+        }
+    }
+
+    private fun convertToList(arr: Array<IntArray>): MutableList<MutableList<Int>> {
+        val list: MutableList<MutableList<Int>> = ArrayList<MutableList<Int>>()
+        for (row in arr) {
+            val temp: MutableList<Int> = ArrayList<Int>()
+            for (num in row) {
+                temp.add(num)
+            }
+            list.add(temp)
+        }
+        return list
+    }
+}

src/main/kotlin/g3401_3500/s3493_properties_graph/readme.md

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+3493\. Properties Graph
+
+Medium
+
+You are given a 2D integer array `properties` having dimensions `n x m` and an integer `k`.
+
+Define a function `intersect(a, b)` that returns the **number of distinct integers** common to both arrays `a` and `b`.
+
+Construct an **undirected** graph where each index `i` corresponds to `properties[i]`. There is an edge between node `i` and node `j` if and only if `intersect(properties[i], properties[j]) >= k`, where `i` and `j` are in the range `[0, n - 1]` and `i != j`.
+
+Return the number of **connected components** in the resulting graph.
+
+**Example 1:**
+
+**Input:** properties = [[1,2],[1,1],[3,4],[4,5],[5,6],[7,7]], k = 1
+
+**Output:** 3
+
+**Explanation:**
+
+The graph formed has 3 connected components:
+
+![](https://assets.leetcode.com/uploads/2025/02/27/image.png)
+
+**Example 2:**
+
+**Input:** properties = [[1,2,3],[2,3,4],[4,3,5]], k = 2
+
+**Output:** 1
+
+**Explanation:**
+
+The graph formed has 1 connected component:
+
+![](https://assets.leetcode.com/uploads/2025/02/27/screenshot-from-2025-02-27-23-58-34.png)
+
+**Example 3:**
+
+**Input:** properties = [[1,1],[1,1]], k = 2
+
+**Output:** 2
+
+**Explanation:**
+
+`intersect(properties[0], properties[1]) = 1`, which is less than `k`. This means there is no edge between `properties[0]` and `properties[1]` in the graph.
+
+**Constraints:**
+
+*   `1 <= n == properties.length <= 100`
+*   `1 <= m == properties[i].length <= 100`
+*   `1 <= properties[i][j] <= 100`
+*   `1 <= k <= m`

src/main/kotlin/g3401_3500/s3494_find_the_minimum_amount_of_time_to_brew_potions/Solution.kt

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+package g3401_3500.s3494_find_the_minimum_amount_of_time_to_brew_potions
+
+// #Medium #Array #Simulation #Prefix_Sum #2025_03_23_Time_70_ms_(100.00%)_Space_50.98_MB_(100.00%)
+
+import kotlin.math.max
+
+class Solution {
+    fun minTime(skill: IntArray, mana: IntArray): Long {
+        val endTime = LongArray(skill.size)
+        endTime.fill(0)
+        for (k in mana) {
+            var t: Long = 0
+            var maxDiff: Long = 0
+            for (j in skill.indices) {
+                maxDiff = max(maxDiff, endTime[j] - t)
+                t += skill[j].toLong() * k.toLong()
+                endTime[j] = t
+            }
+            for (j in skill.indices) {
+                endTime[j] += maxDiff
+            }
+        }
+        return endTime[endTime.size - 1]
+    }
+}

src/main/kotlin/g3401_3500/s3494_find_the_minimum_amount_of_time_to_brew_potions/readme.md

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+3494\. Find the Minimum Amount of Time to Brew Potions
+
+Medium
+
+You are given two integer arrays, `skill` and `mana`, of length `n` and `m`, respectively.
+
+In a laboratory, `n` wizards must brew `m` potions _in order_. Each potion has a mana capacity `mana[j]` and **must** pass through **all** the wizards sequentially to be brewed properly. The time taken by the <code>i<sup>th</sup></code> wizard on the <code>j<sup>th</sup></code> potion is <code>time<sub>ij</sub> = skill[i] * mana[j]</code>.
+
+Since the brewing process is delicate, a potion **must** be passed to the next wizard immediately after the current wizard completes their work. This means the timing must be _synchronized_ so that each wizard begins working on a potion **exactly** when it arrives.
+
+Return the **minimum** amount of time required for the potions to be brewed properly.
+
+**Example 1:**
+
+**Input:** skill = [1,5,2,4], mana = [5,1,4,2]
+
+**Output:** 110
+
+**Explanation:**
+
+| Potion Number | Start time | Wizard 0 done by | Wizard 1 done by | Wizard 2 done by | Wizard 3 done by |
+|--------------|-----------|------------------|------------------|------------------|------------------|
+| 0            | 0         | 5                | 30               | 40               | 60               |
+| 1            | 52        | 53               | 58               | 60               | 64               |
+| 2            | 54        | 58               | 78               | 86               | 102              |
+| 3            | 86        | 88               | 98               | 102              | 110              |
+
+As an example for why wizard 0 cannot start working on the 1<sup>st</sup> potion before time `t = 52`, consider the case where the wizards started preparing the 1<sup>st</sup> potion at time `t = 50`. At time `t = 58`, wizard 2 is done with the 1<sup>st</sup> potion, but wizard 3 will still be working on the 0<sup>th</sup> potion till time `t = 60`.
+
+**Example 2:**
+
+**Input:** skill = [1,1,1], mana = [1,1,1]
+
+**Output:** 5
+
+**Explanation:**
+
+1.  Preparation of the 0<sup>th</sup> potion begins at time `t = 0`, and is completed by time `t = 3`.
+2.  Preparation of the 1<sup>st</sup> potion begins at time `t = 1`, and is completed by time `t = 4`.
+3.  Preparation of the 2<sup>nd</sup> potion begins at time `t = 2`, and is completed by time `t = 5`.
+
+**Example 3:**
+
+**Input:** skill = [1,2,3,4], mana = [1,2]
+
+**Output:** 21
+
+**Constraints:**
+
+*   `n == skill.length`
+*   `m == mana.length`
+*   `1 <= n, m <= 5000`
+*   `1 <= mana[i], skill[i] <= 5000`

src/main/kotlin/g3401_3500/s3495_minimum_operations_to_make_array_elements_zero/Solution.kt

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+package g3401_3500.s3495_minimum_operations_to_make_array_elements_zero
+
+// #Hard #Array #Math #Bit_Manipulation #2025_03_23_Time_12_ms_(100.00%)_Space_105.09_MB_(100.00%)
+
+class Solution {
+    fun minOperations(queries: Array<IntArray>): Long {
+        var result: Long = 0
+        for (query in queries) {
+            var v: Long = 4
+            var req: Long = 1
+            var totalReq: Long = 0
+            while (query[0] >= v) {
+                v *= 4
+                req++
+            }
+            var group: Long
+            if (query[1] < v) {
+                group = query[1] - query[0] + 1L
+                totalReq += group * req
+                result += (totalReq + 1) / 2
+                continue
+            }
+            group = v - query[0]
+            totalReq += group * req
+            var bottom = v
+            while (true) {
+                v *= 4
+                req++
+                if (query[1] < v) {
+                    group = query[1] - bottom + 1
+                    totalReq += group * req
+                    break
+                }
+                group = v - bottom
+                totalReq += group * req
+                bottom = v
+            }
+            result += (totalReq + 1) / 2
+        }
+        return result
+    }
+}

src/main/kotlin/g3401_3500/s3495_minimum_operations_to_make_array_elements_zero/readme.md

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+3495\. Minimum Operations to Make Array Elements Zero
+
+Hard
+
+You are given a 2D array `queries`, where `queries[i]` is of the form `[l, r]`. Each `queries[i]` defines an array of integers `nums` consisting of elements ranging from `l` to `r`, both **inclusive**.
+
+In one operation, you can:
+
+*   Select two integers `a` and `b` from the array.
+*   Replace them with `floor(a / 4)` and `floor(b / 4)`.
+
+Your task is to determine the **minimum** number of operations required to reduce all elements of the array to zero for each query. Return the sum of the results for all queries.
+
+**Example 1:**
+
+**Input:** queries = [[1,2],[2,4]]
+
+**Output:** 3
+
+**Explanation:**
+
+For `queries[0]`:
+
+*   The initial array is `nums = [1, 2]`.
+*   In the first operation, select `nums[0]` and `nums[1]`. The array becomes `[0, 0]`.
+*   The minimum number of operations required is 1.
+
+For `queries[1]`:
+
+*   The initial array is `nums = [2, 3, 4]`.
+*   In the first operation, select `nums[0]` and `nums[2]`. The array becomes `[0, 3, 1]`.
+*   In the second operation, select `nums[1]` and `nums[2]`. The array becomes `[0, 0, 0]`.
+*   The minimum number of operations required is 2.
+
+The output is `1 + 2 = 3`.
+
+**Example 2:**
+
+**Input:** queries = [[2,6]]
+
+**Output:** 4
+
+**Explanation:**
+
+For `queries[0]`:
+
+*   The initial array is `nums = [2, 3, 4, 5, 6]`.
+*   In the first operation, select `nums[0]` and `nums[3]`. The array becomes `[0, 3, 4, 1, 6]`.
+*   In the second operation, select `nums[2]` and `nums[4]`. The array becomes `[0, 3, 1, 1, 1]`.
+*   In the third operation, select `nums[1]` and `nums[2]`. The array becomes `[0, 0, 0, 1, 1]`.
+*   In the fourth operation, select `nums[3]` and `nums[4]`. The array becomes `[0, 0, 0, 0, 0]`.
+*   The minimum number of operations required is 4.
+
+The output is 4.
+
+**Constraints:**
+
+*   <code>1 <= queries.length <= 10<sup>5</sup></code>
+*   `queries[i].length == 2`
+*   `queries[i] == [l, r]`
+*   <code>1 <= l < r <= 10<sup>9</sup></code>