Added tasks 3070-3081

Author: javadev

src/main/kotlin/g3001_3100/s3070_count_submatrices_with_top_left_element_and_sum_less_than_k/Solution.kt

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+package g3001_3100.s3070_count_submatrices_with_top_left_element_and_sum_less_than_k
+
+// #Medium #Array #Matrix #Prefix_Sum #2024_04_16_Time_773_ms_(85.71%)_Space_134.2_MB_(71.43%)
+
+class Solution {
+    fun countSubmatrices(grid: Array<IntArray>, k: Int): Int {
+        val n = grid[0].size
+        val sums = IntArray(n)
+        var ans = 0
+        for (ints in grid) {
+            var sum = 0
+            for (col in 0 until n) {
+                sum += ints[col]
+                sums[col] += sum
+                if (sums[col] <= k) {
+                    ans++
+                } else {
+                    break
+                }
+            }
+        }
+        return ans
+    }
+}

src/main/kotlin/g3001_3100/s3070_count_submatrices_with_top_left_element_and_sum_less_than_k/readme.md

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+3070\. Count Submatrices with Top-Left Element and Sum Less Than k
+
+Medium
+
+You are given a **0-indexed** integer matrix `grid` and an integer `k`.
+
+Return _the **number** of submatrices that contain the top-left element of the_ `grid`, _and have a sum less than or equal to_ `k`.
+
+**Example 1:**
+
+![](https://assets.leetcode.com/uploads/2024/01/01/example1.png)
+
+**Input:** grid = [[7,6,3],[6,6,1]], k = 18
+
+**Output:** 4
+
+**Explanation:** There are only 4 submatrices, shown in the image above, that contain the top-left element of grid, and have a sum less than or equal to 18.
+
+**Example 2:**
+
+![](https://assets.leetcode.com/uploads/2024/01/01/example21.png)
+
+**Input:** grid = [[7,2,9],[1,5,0],[2,6,6]], k = 20
+
+**Output:** 6
+
+**Explanation:** There are only 6 submatrices, shown in the image above, that contain the top-left element of grid, and have a sum less than or equal to 20.
+
+**Constraints:**
+
+*   `m == grid.length`
+*   `n == grid[i].length`
+*   `1 <= n, m <= 1000`
+*   `0 <= grid[i][j] <= 1000`
+*   <code>1 <= k <= 10<sup>9</sup></code>

src/main/kotlin/g3001_3100/s3071_minimum_operations_to_write_the_letter_y_on_a_grid/Solution.kt

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+package g3001_3100.s3071_minimum_operations_to_write_the_letter_y_on_a_grid
+
+// #Medium #Array #Hash_Table #Matrix #Counting
+// #2024_04_16_Time_268_ms_(91.11%)_Space_42.6_MB_(93.33%)
+
+import kotlin.math.min
+
+class Solution {
+    fun minimumOperationsToWriteY(arr: Array<IntArray>): Int {
+        val n = arr.size
+        val cnt1 = IntArray(3)
+        val cnt2 = IntArray(3)
+        val x = n / 2
+        val y = n / 2
+        for (j in x until n) {
+            cnt1[arr[j][y]]++
+            arr[j][y] = 3
+        }
+        for (j in x downTo 0) {
+            if (arr[j][j] != 3) {
+                cnt1[arr[j][j]]++
+            }
+            arr[j][j] = 3
+        }
+        for (j in x downTo 0) {
+            if (arr[j][n - 1 - j] != 3) {
+                cnt1[arr[j][n - 1 - j]]++
+            }
+            arr[j][n - 1 - j] = 3
+        }
+        for (ints in arr) {
+            for (j in 0 until n) {
+                if (ints[j] != 3) {
+                    cnt2[ints[j]]++
+                }
+            }
+        }
+        val s1 = cnt1[0] + cnt1[1] + cnt1[2]
+        val s2 = cnt2[0] + cnt2[1] + cnt2[2]
+        var min = Int.MAX_VALUE
+        for (i in 0..2) {
+            for (j in 0..2) {
+                if (i != j) {
+                    min = min((s1 - cnt1[i] + s2 - cnt2[j]), min)
+                }
+            }
+        }
+        return min
+    }
+}

src/main/kotlin/g3001_3100/s3071_minimum_operations_to_write_the_letter_y_on_a_grid/readme.md

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+3071\. Minimum Operations to Write the Letter Y on a Grid
+
+Medium
+
+You are given a **0-indexed** `n x n` grid where `n` is odd, and `grid[r][c]` is `0`, `1`, or `2`.
+
+We say that a cell belongs to the Letter **Y** if it belongs to one of the following:
+
+*   The diagonal starting at the top-left cell and ending at the center cell of the grid.
+*   The diagonal starting at the top-right cell and ending at the center cell of the grid.
+*   The vertical line starting at the center cell and ending at the bottom border of the grid.
+
+The Letter **Y** is written on the grid if and only if:
+
+*   All values at cells belonging to the Y are equal.
+*   All values at cells not belonging to the Y are equal.
+*   The values at cells belonging to the Y are different from the values at cells not belonging to the Y.
+
+Return _the **minimum** number of operations needed to write the letter Y on the grid given that in one operation you can change the value at any cell to_ `0`_,_ `1`_,_ _or_ `2`_._
+
+**Example 1:**
+
+![](https://assets.leetcode.com/uploads/2024/01/22/y2.png)
+
+**Input:** grid = [[1,2,2],[1,1,0],[0,1,0]]
+
+**Output:** 3
+
+**Explanation:** We can write Y on the grid by applying the changes highlighted in blue in the image above. After the operations, all cells that belong to Y, denoted in bold, have the same value of 1 while those that do not belong to Y are equal to 0. It can be shown that 3 is the minimum number of operations needed to write Y on the grid.
+
+**Example 2:**
+
+![](https://assets.leetcode.com/uploads/2024/01/22/y3.png)
+
+**Input:** grid = [[0,1,0,1,0],[2,1,0,1,2],[2,2,2,0,1],[2,2,2,2,2],[2,1,2,2,2]]
+
+**Output:** 12
+
+**Explanation:** We can write Y on the grid by applying the changes highlighted in blue in the image above. After the operations, all cells that belong to Y, denoted in bold, have the same value of 0 while those that do not belong to Y are equal to 2. It can be shown that 12 is the minimum number of operations needed to write Y on the grid.
+
+**Constraints:**
+
+*   `3 <= n <= 49`
+*   `n == grid.length == grid[i].length`
+*   `0 <= grid[i][j] <= 2`
+*   `n` is odd.

src/main/kotlin/g3001_3100/s3072_distribute_elements_into_two_arrays_ii/Solution.kt

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+package g3001_3100.s3072_distribute_elements_into_two_arrays_ii
+
+// #Hard #Array #Simulation #Segment_Tree #Binary_Indexed_Tree
+// #2024_04_16_Time_890_ms_(100.00%)_Space_77.6_MB_(54.17%)
+
+@Suppress("NAME_SHADOWING", "kotlin:S1871")
+class Solution {
+    internal inner class BIT(size: Int) {
+        private val tree = IntArray(size + 1)
+
+        fun update(ind: Int) {
+            var ind = ind
+            while (ind < tree.size) {
+                tree[ind]++
+                ind += lsb(ind)
+            }
+        }
+
+        fun rsq(ind: Int): Int {
+            var ind = ind
+            var sum = 0
+            while (ind > 0) {
+                sum += tree[ind]
+                ind -= lsb(ind)
+            }
+            return sum
+        }
+
+        private fun lsb(n: Int): Int {
+            return n and (-n)
+        }
+    }
+
+    fun resultArray(source: IntArray): IntArray {
+        val nums = shrink(source)
+        val arr1 = IntArray(nums.size)
+        val arr2 = IntArray(nums.size)
+        arr1[0] = source[0]
+        arr2[0] = source[1]
+        var p1 = 0
+        var p2 = 0
+        val bit1 = BIT(nums.size)
+        bit1.update(nums[0])
+        val bit2 = BIT(nums.size)
+        bit2.update(nums[1])
+        for (i in 2 until nums.size) {
+            val g1 = p1 + 1 - bit1.rsq(nums[i])
+            val g2 = p2 + 1 - bit2.rsq(nums[i])
+            if (g1 > g2) {
+                p1++
+                arr1[p1] = source[i]
+                bit1.update(nums[i])
+            } else if (g1 < g2) {
+                p2++
+                arr2[p2] = source[i]
+                bit2.update(nums[i])
+            } else if (p1 < p2) {
+                p1++
+                arr1[p1] = source[i]
+                bit1.update(nums[i])
+            } else if (p1 > p2) {
+                p2++
+                arr2[p2] = source[i]
+                bit2.update(nums[i])
+            } else {
+                p1++
+                arr1[p1] = source[i]
+                bit1.update(nums[i])
+            }
+        }
+        for (i in p1 + 1 until arr1.size) {
+            arr1[i] = arr2[i - p1 - 1]
+        }
+        return arr1
+    }
+
+    private fun shrink(nums: IntArray): IntArray {
+        val b = LongArray(nums.size)
+        for (i in nums.indices) {
+            b[i] = nums[i].toLong() shl 32 or i.toLong()
+        }
+        b.sort()
+        val result = IntArray(nums.size)
+        var p = 1
+        for (i in nums.indices) {
+            if (i > 0 && (b[i] xor b[i - 1]) shr 32 != 0L) {
+                p++
+            }
+            result[b[i].toInt()] = p
+        }
+        return result
+    }
+}

src/main/kotlin/g3001_3100/s3072_distribute_elements_into_two_arrays_ii/readme.md

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+3072\. Distribute Elements Into Two Arrays II
+
+Hard
+
+You are given a **1-indexed** array of integers `nums` of length `n`.
+
+We define a function `greaterCount` such that `greaterCount(arr, val)` returns the number of elements in `arr` that are **strictly greater** than `val`.
+
+You need to distribute all the elements of `nums` between two arrays `arr1` and `arr2` using `n` operations. In the first operation, append `nums[1]` to `arr1`. In the second operation, append `nums[2]` to `arr2`. Afterwards, in the <code>i<sup>th</sup></code> operation:
+
+*   If `greaterCount(arr1, nums[i]) > greaterCount(arr2, nums[i])`, append `nums[i]` to `arr1`.
+*   If `greaterCount(arr1, nums[i]) < greaterCount(arr2, nums[i])`, append `nums[i]` to `arr2`.
+*   If `greaterCount(arr1, nums[i]) == greaterCount(arr2, nums[i])`, append `nums[i]` to the array with a **lesser** number of elements.
+*   If there is still a tie, append `nums[i]` to `arr1`.
+
+The array `result` is formed by concatenating the arrays `arr1` and `arr2`. For example, if `arr1 == [1,2,3]` and `arr2 == [4,5,6]`, then `result = [1,2,3,4,5,6]`.
+
+Return _the integer array_ `result`.
+
+**Example 1:**
+
+**Input:** nums = [2,1,3,3]
+
+**Output:** [2,3,1,3]
+
+**Explanation:** After the first 2 operations, arr1 = [2] and arr2 = [1]. 
+
+In the 3<sup>rd</sup> operation, the number of elements greater than 3 is zero in both arrays.
+
+Also, the lengths are equal, hence, append nums[3] to arr1. In the 4<sup>th</sup> operation, the number of elements greater than 3 is zero in both arrays. As the length of arr2 is lesser, hence, append nums[4] to arr2. 
+
+After 4 operations, arr1 = [2,3] and arr2 = [1,3]. Hence, the array result formed by concatenation is [2,3,1,3].
+
+**Example 2:**
+
+**Input:** nums = [5,14,3,1,2]
+
+**Output:** [5,3,1,2,14]
+
+**Explanation:** After the first 2 operations, arr1 = [5] and arr2 = [14]. 
+
+In the 3<sup>rd</sup> operation, the number of elements greater than 3 is one in both arrays. Also, the lengths are equal, hence, append nums[3] to arr1. 
+
+In the 4<sup>th</sup> operation, the number of elements greater than 1 is greater in arr1 than arr2 (2 > 1). Hence, append nums[4] to arr1. In the 5<sup>th</sup> operation, the number of elements greater than 2 is greater in arr1 than arr2 (2 > 1). Hence, append nums[5] to arr1. 
+
+zAfter 5 operations, arr1 = [5,3,1,2] and arr2 = [14]. Hence, the array result formed by concatenation is [5,3,1,2,14].
+
+**Example 3:**
+
+**Input:** nums = [3,3,3,3]
+
+**Output:** [3,3,3,3]
+
+**Explanation:** At the end of 4 operations, arr1 = [3,3] and arr2 = [3,3]. Hence, the array result formed by concatenation is [3,3,3,3].
+
+**Constraints:**
+
+*   <code>3 <= n <= 10<sup>5</sup></code>
+*   <code>1 <= nums[i] <= 10<sup>9</sup></code>

src/main/kotlin/g3001_3100/s3074_apple_redistribution_into_boxes/Solution.kt

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+package g3001_3100.s3074_apple_redistribution_into_boxes
+
+// #Easy #Array #Sorting #Greedy #2024_04_16_Time_168_ms_(97.37%)_Space_35.4_MB_(100.00%)
+
+import kotlin.math.max
+
+class Solution {
+    fun minimumBoxes(apple: IntArray, capacity: IntArray): Int {
+        val count = IntArray(51)
+        var appleSum = 0
+        for (j in apple) {
+            appleSum += j
+        }
+        var reqCapacity = 0
+        var max = 0
+        for (j in capacity) {
+            count[j]++
+            max = max(max.toDouble(), j.toDouble()).toInt()
+        }
+        for (i in max downTo 0) {
+            if (count[i] >= 1) {
+                while (count[i] != 0) {
+                    appleSum -= i
+                    reqCapacity++
+                    if (appleSum <= 0) {
+                        return reqCapacity
+                    }
+                    count[i]--
+                }
+            }
+        }
+        return reqCapacity
+    }
+}

src/main/kotlin/g3001_3100/s3074_apple_redistribution_into_boxes/readme.md

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+3074\. Apple Redistribution into Boxes
+
+Easy
+
+You are given an array `apple` of size `n` and an array `capacity` of size `m`.
+
+There are `n` packs where the <code>i<sup>th</sup></code> pack contains `apple[i]` apples. There are `m` boxes as well, and the <code>i<sup>th</sup></code> box has a capacity of `capacity[i]` apples.
+
+Return _the **minimum** number of boxes you need to select to redistribute these_ `n` _packs of apples into boxes_.
+
+**Note** that, apples from the same pack can be distributed into different boxes.
+
+**Example 1:**
+
+**Input:** apple = [1,3,2], capacity = [4,3,1,5,2]
+
+**Output:** 2
+
+**Explanation:** We will use boxes with capacities 4 and 5. It is possible to distribute the apples as the total capacity is greater than or equal to the total number of apples.
+
+**Example 2:**
+
+**Input:** apple = [5,5,5], capacity = [2,4,2,7]
+
+**Output:** 4
+
+**Explanation:** We will need to use all the boxes.
+
+**Constraints:**
+
+*   `1 <= n == apple.length <= 50`
+*   `1 <= m == capacity.length <= 50`
+*   `1 <= apple[i], capacity[i] <= 50`
+*   The input is generated such that it's possible to redistribute packs of apples into boxes.