Added tasks 3461-3464

Author: javadev

src/main/java/g3401_3500/s3461_check_if_digits_are_equal_in_string_after_operations_i/Solution.java

@@ -0,0 +1,22 @@
+package g3401_3500.s3461_check_if_digits_are_equal_in_string_after_operations_i;
+
+// #Easy #String #Math #Simulation #Number_Theory #Combinatorics
+// #2025_02_25_Time_2_ms_(96.71%)_Space_42.26_MB_(97.03%)
+
+public class Solution {
+    public boolean hasSameDigits(String s) {
+        char[] ch = s.toCharArray();
+        int k = ch.length - 1;
+        while (k != 1) {
+            for (int i = 0; i < k; i++) {
+                int a = ch[i] - 48;
+                int b = ch[i + 1] - 48;
+                int d = (a + b) % 10;
+                char c = (char) (d + '0');
+                ch[i] = c;
+            }
+            k--;
+        }
+        return ch[0] == ch[1];
+    }
+}

src/main/java/g3401_3500/s3461_check_if_digits_are_equal_in_string_after_operations_i/readme.md

@@ -0,0 +1,49 @@
+3461\. Check If Digits Are Equal in String After Operations I
+
+Easy
+
+You are given a string `s` consisting of digits. Perform the following operation repeatedly until the string has **exactly** two digits:
+
+*   For each pair of consecutive digits in `s`, starting from the first digit, calculate a new digit as the sum of the two digits **modulo** 10.
+*   Replace `s` with the sequence of newly calculated digits, _maintaining the order_ in which they are computed.
+
+Return `true` if the final two digits in `s` are the **same**; otherwise, return `false`.
+
+**Example 1:**
+
+**Input:** s = "3902"
+
+**Output:** true
+
+**Explanation:**
+
+*   Initially, `s = "3902"`
+*   First operation:
+    *   `(s[0] + s[1]) % 10 = (3 + 9) % 10 = 2`
+    *   `(s[1] + s[2]) % 10 = (9 + 0) % 10 = 9`
+    *   `(s[2] + s[3]) % 10 = (0 + 2) % 10 = 2`
+    *   `s` becomes `"292"`
+*   Second operation:
+    *   `(s[0] + s[1]) % 10 = (2 + 9) % 10 = 1`
+    *   `(s[1] + s[2]) % 10 = (9 + 2) % 10 = 1`
+    *   `s` becomes `"11"`
+*   Since the digits in `"11"` are the same, the output is `true`.
+
+**Example 2:**
+
+**Input:** s = "34789"
+
+**Output:** false
+
+**Explanation:**
+
+*   Initially, `s = "34789"`.
+*   After the first operation, `s = "7157"`.
+*   After the second operation, `s = "862"`.
+*   After the third operation, `s = "48"`.
+*   Since `'4' != '8'`, the output is `false`.
+
+**Constraints:**
+
+*   `3 <= s.length <= 100`
+*   `s` consists of only digits.

src/main/java/g3401_3500/s3462_maximum_sum_with_at_most_k_elements/Solution.java

@@ -0,0 +1,31 @@
+package g3401_3500.s3462_maximum_sum_with_at_most_k_elements;
+
+// #Medium #Array #Sorting #Greedy #Matrix #Heap_(Priority_Queue)
+// #2025_02_25_Time_62_ms_(99.82%)_Space_78.09_MB_(20.19%)
+
+import java.util.Arrays;
+
+public class Solution {
+    public long maxSum(int[][] grid, int[] limits, int k) {
+        int l = 0;
+        for (int i = 0; i < limits.length; i++) {
+            l += limits[i];
+        }
+        int[] dp = new int[l];
+        int a = 0;
+        for (int i = 0; i < grid.length; i++) {
+            int lim = limits[i];
+            Arrays.sort(grid[i]);
+            for (int j = grid[i].length - lim; j < grid[i].length; j++) {
+                dp[a] = grid[i][j];
+                a++;
+            }
+        }
+        Arrays.sort(dp);
+        long sum = 0L;
+        for (int i = l - 1; i >= l - k; i--) {
+            sum += dp[i];
+        }
+        return sum;
+    }
+}

src/main/java/g3401_3500/s3462_maximum_sum_with_at_most_k_elements/readme.md

@@ -0,0 +1,42 @@
+3462\. Maximum Sum With at Most K Elements
+
+Medium
+
+You are given a 2D integer matrix `grid` of size `n x m`, an integer array `limits` of length `n`, and an integer `k`. The task is to find the **maximum sum** of **at most** `k` elements from the matrix `grid` such that:
+
+*   The number of elements taken from the <code>i<sup>th</sup></code> row of `grid` does not exceed `limits[i]`.
+    
+
+Return the **maximum sum**.
+
+**Example 1:**
+
+**Input:** grid = [[1,2],[3,4]], limits = [1,2], k = 2
+
+**Output:** 7
+
+**Explanation:**
+
+*   From the second row, we can take at most 2 elements. The elements taken are 4 and 3.
+*   The maximum possible sum of at most 2 selected elements is `4 + 3 = 7`.
+
+**Example 2:**
+
+**Input:** grid = [[5,3,7],[8,2,6]], limits = [2,2], k = 3
+
+**Output:** 21
+
+**Explanation:**
+
+*   From the first row, we can take at most 2 elements. The element taken is 7.
+*   From the second row, we can take at most 2 elements. The elements taken are 8 and 6.
+*   The maximum possible sum of at most 3 selected elements is `7 + 8 + 6 = 21`.
+
+**Constraints:**
+
+*   `n == grid.length == limits.length`
+*   `m == grid[i].length`
+*   `1 <= n, m <= 500`
+*   <code>0 <= grid[i][j] <= 10<sup>5</sup></code>
+*   `0 <= limits[i] <= m`
+*   `0 <= k <= min(n * m, sum(limits))`

src/main/java/g3401_3500/s3463_check_if_digits_are_equal_in_string_after_operations_ii/Solution.java

@@ -0,0 +1,74 @@
+package g3401_3500.s3463_check_if_digits_are_equal_in_string_after_operations_ii;
+
+// #Hard #String #Math #Number_Theory #Combinatorics
+// #2025_02_25_Time_43_ms_(99.64%)_Space_49.40_MB_(10.02%)
+
+public class Solution {
+    private int powMod10(int a, int n) {
+        int x = 1;
+        while (n >= 1) {
+            if (n % 2 == 1) {
+                x = (x * a) % 10;
+            }
+            a = (a * a) % 10;
+            n /= 2;
+        }
+        return x;
+    }
+
+    private int[] f(int n) {
+        int[] ns = new int[n + 1];
+        int[] n2 = new int[n + 1];
+        int[] n5 = new int[n + 1];
+        ns[0] = 1;
+        for (int i = 1; i <= n; ++i) {
+            int m = i;
+            n2[i] = n2[i - 1];
+            n5[i] = n5[i - 1];
+            while (m % 2 == 0) {
+                m /= 2;
+                n2[i]++;
+            }
+            while (m % 5 == 0) {
+                m /= 5;
+                n5[i]++;
+            }
+            ns[i] = (ns[i - 1] * m) % 10;
+        }
+        int[] inv = new int[10];
+        for (int i = 1; i < 10; ++i) {
+            for (int j = 0; j < 10; ++j) {
+                if (i * j % 10 == 1) {
+                    inv[i] = j;
+                }
+            }
+        }
+        int[] xs = new int[n + 1];
+        for (int k = 0; k <= n; ++k) {
+            int a = 0;
+            int s2 = n2[n] - n2[n - k] - n2[k];
+            int s5 = n5[n] - n5[n - k] - n5[k];
+            if (s2 == 0 || s5 == 0) {
+                a = (ns[n] * inv[ns[n - k]] * inv[ns[k]] * powMod10(2, s2) * powMod10(5, s5)) % 10;
+            }
+            xs[k] = a;
+        }
+        return xs;
+    }
+
+    public boolean hasSameDigits(String s) {
+        int n = s.length();
+        int[] xs = f(n - 2);
+        int[] arr = new int[n];
+        for (int i = 0; i < n; i++) {
+            arr[i] = s.charAt(i) - '0';
+        }
+        int num1 = 0;
+        int num2 = 0;
+        for (int i = 0; i < n - 1; i++) {
+            num1 = (num1 + xs[i] * arr[i]) % 10;
+            num2 = (num2 + xs[i] * arr[i + 1]) % 10;
+        }
+        return num1 == num2;
+    }
+}

src/main/java/g3401_3500/s3463_check_if_digits_are_equal_in_string_after_operations_ii/readme.md

@@ -0,0 +1,49 @@
+3463\. Check If Digits Are Equal in String After Operations II
+
+Hard
+
+You are given a string `s` consisting of digits. Perform the following operation repeatedly until the string has **exactly** two digits:
+
+*   For each pair of consecutive digits in `s`, starting from the first digit, calculate a new digit as the sum of the two digits **modulo** 10.
+*   Replace `s` with the sequence of newly calculated digits, _maintaining the order_ in which they are computed.
+
+Return `true` if the final two digits in `s` are the **same**; otherwise, return `false`.
+
+**Example 1:**
+
+**Input:** s = "3902"
+
+**Output:** true
+
+**Explanation:**
+
+*   Initially, `s = "3902"`
+*   First operation:
+    *   `(s[0] + s[1]) % 10 = (3 + 9) % 10 = 2`
+    *   `(s[1] + s[2]) % 10 = (9 + 0) % 10 = 9`
+    *   `(s[2] + s[3]) % 10 = (0 + 2) % 10 = 2`
+    *   `s` becomes `"292"`
+*   Second operation:
+    *   `(s[0] + s[1]) % 10 = (2 + 9) % 10 = 1`
+    *   `(s[1] + s[2]) % 10 = (9 + 2) % 10 = 1`
+    *   `s` becomes `"11"`
+*   Since the digits in `"11"` are the same, the output is `true`.
+
+**Example 2:**
+
+**Input:** s = "34789"
+
+**Output:** false
+
+**Explanation:**
+
+*   Initially, `s = "34789"`.
+*   After the first operation, `s = "7157"`.
+*   After the second operation, `s = "862"`.
+*   After the third operation, `s = "48"`.
+*   Since `'4' != '8'`, the output is `false`.
+
+**Constraints:**
+
+*   <code>3 <= s.length <= 10<sup>5</sup></code>
+*   `s` consists of only digits.

src/main/java/g3401_3500/s3464_maximize_the_distance_between_points_on_a_square/Solution.java

@@ -0,0 +1,79 @@
+package g3401_3500.s3464_maximize_the_distance_between_points_on_a_square;
+
+// #Hard #Array #Greedy #Binary_Search #2025_02_25_Time_18_ms_(98.51%)_Space_49.78_MB_(46.27%)
+
+import java.util.Arrays;
+
+public class Solution {
+    public int maxDistance(int side, int[][] pts, int k) {
+        int n = pts.length;
+        long[] p = new long[n];
+        for (int i = 0; i < n; i++) {
+            int x = pts[i][0];
+            int y = pts[i][1];
+            long c;
+            if (y == 0) {
+                c = x;
+            } else if (x == side) {
+                c = side + (long) y;
+            } else if (y == side) {
+                c = 2L * side + (side - x);
+            } else {
+                c = 3L * side + (side - y);
+            }
+            p[i] = c;
+        }
+        Arrays.sort(p);
+        long c = 4L * side;
+        int tot = 2 * n;
+        long[] dArr = new long[tot];
+        for (int i = 0; i < n; i++) {
+            dArr[i] = p[i];
+            dArr[i + n] = p[i] + c;
+        }
+        int lo = 0;
+        int hi = 2 * side;
+        int ans = 0;
+        while (lo <= hi) {
+            int mid = (lo + hi) >>> 1;
+            if (check(mid, dArr, n, k, c)) {
+                ans = mid;
+                lo = mid + 1;
+            } else {
+                hi = mid - 1;
+            }
+        }
+        return ans;
+    }
+
+    private boolean check(int d, long[] dArr, int n, int k, long c) {
+        int len = dArr.length;
+        int[] nxt = new int[len];
+        int j = 0;
+        for (int i = 0; i < len; i++) {
+            if (j < i + 1) {
+                j = i + 1;
+            }
+            while (j < len && dArr[j] < dArr[i] + d) {
+                j++;
+            }
+            nxt[i] = (j < len) ? j : -1;
+        }
+        for (int i = 0; i < n; i++) {
+            int cnt = 1;
+            int cur = i;
+            while (cnt < k) {
+                int nx = nxt[cur];
+                if (nx == -1 || nx >= i + n) {
+                    break;
+                }
+                cur = nx;
+                cnt++;
+            }
+            if (cnt == k && (dArr[i] + c - dArr[cur]) >= d) {
+                return true;
+            }
+        }
+        return false;
+    }
+}