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package g3101_3200.s3158_find_the_xor_of_numbers_which_appear_twice;

// #Easy #Array #Hash_Table #Bit_Manipulation #2024_05_30_Time_1_ms_(99.87%)_Space_42.3_MB_(99.40%)

public class Solution {
public int duplicateNumbersXOR(int[] nums) {
boolean[] appeared = new boolean[51];
int res = 0;
for (int num : nums) {
if (appeared[num]) {
res ^= num;
}
appeared[num] = true;
}
return res;
}
}
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3158\. Find the XOR of Numbers Which Appear Twice

Easy

You are given an array `nums`, where each number in the array appears **either** once or twice.

Return the bitwise `XOR` of all the numbers that appear twice in the array, or 0 if no number appears twice.

**Example 1:**

**Input:** nums = [1,2,1,3]

**Output:** 1

**Explanation:**

The only number that appears twice in `nums` is 1.

**Example 2:**

**Input:** nums = [1,2,3]

**Output:** 0

**Explanation:**

No number appears twice in `nums`.

**Example 3:**

**Input:** nums = [1,2,2,1]

**Output:** 3

**Explanation:**

Numbers 1 and 2 appeared twice. `1 XOR 2 == 3`.

**Constraints:**

* `1 <= nums.length <= 50`
* `1 <= nums[i] <= 50`
* Each number in `nums` appears either once or twice.
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package g3101_3200.s3159_find_occurrences_of_an_element_in_an_array;

// #Medium #Array #Hash_Table #2024_05_30_Time_4_ms_(96.74%)_Space_64_MB_(69.94%)

import java.util.ArrayList;

public class Solution {
public int[] occurrencesOfElement(int[] nums, int[] queries, int x) {
ArrayList<Integer> a = new ArrayList<>();
for (int i = 0, l = nums.length; i < l; i++) {
if (nums[i] == x) {
a.add(i);
}
}
int l = queries.length;
int[] r = new int[l];
for (int i = 0; i < l; i++) {
r[i] = queries[i] > a.size() ? -1 : a.get(queries[i] - 1);
}
return r;
}
}
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3159\. Find Occurrences of an Element in an Array

Medium

You are given an integer array `nums`, an integer array `queries`, and an integer `x`.

For each `queries[i]`, you need to find the index of the <code>queries[i]<sup>th</sup></code> occurrence of `x` in the `nums` array. If there are fewer than `queries[i]` occurrences of `x`, the answer should be -1 for that query.

Return an integer array `answer` containing the answers to all queries.

**Example 1:**

**Input:** nums = [1,3,1,7], queries = [1,3,2,4], x = 1

**Output:** [0,-1,2,-1]

**Explanation:**

* For the 1<sup>st</sup> query, the first occurrence of 1 is at index 0.
* For the 2<sup>nd</sup> query, there are only two occurrences of 1 in `nums`, so the answer is -1.
* For the 3<sup>rd</sup> query, the second occurrence of 1 is at index 2.
* For the 4<sup>th</sup> query, there are only two occurrences of 1 in `nums`, so the answer is -1.

**Example 2:**

**Input:** nums = [1,2,3], queries = [10], x = 5

**Output:** [-1]

**Explanation:**

* For the 1<sup>st</sup> query, 5 doesn't exist in `nums`, so the answer is -1.

**Constraints:**

* <code>1 <= nums.length, queries.length <= 10<sup>5</sup></code>
* <code>1 <= queries[i] <= 10<sup>5</sup></code>
* <code>1 <= nums[i], x <= 10<sup>4</sup></code>
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package g3101_3200.s3160_find_the_number_of_distinct_colors_among_the_balls;

// #Medium #Array #Hash_Table #Simulation #2024_05_30_Time_36_ms_(98.82%)_Space_79.6_MB_(93.03%)

import java.util.HashMap;
import java.util.Map;

@SuppressWarnings("java:S1172")
public class Solution {
public int[] queryResults(int ignoredLimit, int[][] queries) {
Map<Integer, Integer> ballToColor = new HashMap<>();
Map<Integer, Integer> colorToCnt = new HashMap<>();
int[] ret = new int[queries.length];
for (int i = 0; i < queries.length; i += 1) {
final int ball = queries[i][0];
final int color = queries[i][1];
if (ballToColor.containsKey(ball)) {
int oldColor = ballToColor.get(ball);
int oldColorCnt = colorToCnt.get(oldColor);
if (oldColorCnt >= 2) {
colorToCnt.put(oldColor, oldColorCnt - 1);
} else {
colorToCnt.remove(oldColor);
}
}
ballToColor.put(ball, color);
colorToCnt.put(color, colorToCnt.getOrDefault(color, 0) + 1);
ret[i] = colorToCnt.size();
}
return ret;
}
}
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3160\. Find the Number of Distinct Colors Among the Balls

Medium

You are given an integer `limit` and a 2D array `queries` of size `n x 2`.

There are `limit + 1` balls with **distinct** labels in the range `[0, limit]`. Initially, all balls are uncolored. For every query in `queries` that is of the form `[x, y]`, you mark ball `x` with the color `y`. After each query, you need to find the number of **distinct** colors among the balls.

Return an array `result` of length `n`, where `result[i]` denotes the number of distinct colors _after_ <code>i<sup>th</sup></code> query.

**Note** that when answering a query, lack of a color _will not_ be considered as a color.

**Example 1:**

**Input:** limit = 4, queries = [[1,4],[2,5],[1,3],[3,4]]

**Output:** [1,2,2,3]

**Explanation:**

![](https://assets.leetcode.com/uploads/2024/04/17/ezgifcom-crop.gif)

* After query 0, ball 1 has color 4.
* After query 1, ball 1 has color 4, and ball 2 has color 5.
* After query 2, ball 1 has color 3, and ball 2 has color 5.
* After query 3, ball 1 has color 3, ball 2 has color 5, and ball 3 has color 4.

**Example 2:**

**Input:** limit = 4, queries = [[0,1],[1,2],[2,2],[3,4],[4,5]]

**Output:** [1,2,2,3,4]

**Explanation:**

**![](https://assets.leetcode.com/uploads/2024/04/17/ezgifcom-crop2.gif)**

* After query 0, ball 0 has color 1.
* After query 1, ball 0 has color 1, and ball 1 has color 2.
* After query 2, ball 0 has color 1, and balls 1 and 2 have color 2.
* After query 3, ball 0 has color 1, balls 1 and 2 have color 2, and ball 3 has color 4.
* After query 4, ball 0 has color 1, balls 1 and 2 have color 2, ball 3 has color 4, and ball 4 has color 5.

**Constraints:**

* <code>1 <= limit <= 10<sup>9</sup></code>
* <code>1 <= n == queries.length <= 10<sup>5</sup></code>
* `queries[i].length == 2`
* `0 <= queries[i][0] <= limit`
* <code>1 <= queries[i][1] <= 10<sup>9</sup></code>
107 changes: 107 additions & 0 deletions src/main/java/g3101_3200/s3161_block_placement_queries/Solution.java
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package g3101_3200.s3161_block_placement_queries;

// #Hard #Array #Binary_Search #Segment_Tree #Binary_Indexed_Tree
// #2024_05_30_Time_137_ms_(99.38%)_Space_143.7_MB_(54.52%)

import java.util.ArrayList;
import java.util.List;

public class Solution {
private static class Seg {
private final int start;
private final int end;
private int min;
private int max;
private int len;
private boolean obstacle;
private Seg left;
private Seg right;

public static Seg init(int n) {
return new Seg(0, n);
}

private Seg(int start, int end) {
this.start = start;
this.end = end;
if (start >= end) {
return;
}
int mid = start + ((end - start) >> 1);
left = new Seg(start, mid);
right = new Seg(mid + 1, end);
refresh();
}

public void set(int i) {
if (i < start || i > end) {
return;
} else if (i == start && i == end) {
obstacle = true;
min = max = start;
return;
}
left.set(i);
right.set(i);
refresh();
}

private void refresh() {
if (left.obstacle) {
min = left.min;
if (right.obstacle) {
max = right.max;
len = Math.max(right.min - left.max, Math.max(left.len, right.len));
} else {
max = left.max;
len = Math.max(left.len, right.end - left.max);
}
obstacle = true;
} else if (right.obstacle) {
min = right.min;
max = right.max;
len = Math.max(right.len, right.min - left.start);
obstacle = true;
} else {
len = end - start;
}
}

public void max(int n, int[] t) {
if (end <= n) {
t[0] = Math.max(t[0], len);
if (obstacle) {
t[1] = max;
}
return;
}
left.max(n, t);
if (!right.obstacle || right.min >= n) {
return;
}
t[0] = Math.max(t[0], right.min - t[1]);
right.max(n, t);
}
}

public List<Boolean> getResults(int[][] queries) {
int max = 0;
for (int[] i : queries) {
max = Math.max(max, i[1]);
}
Seg root = Seg.init(max);
root.set(0);

List<Boolean> res = new ArrayList<>(queries.length);
for (int[] i : queries) {
if (i[0] == 1) {
root.set(i[1]);
} else {
int[] t = new int[2];
root.max(i[1], t);
res.add(Math.max(t[0], i[1] - t[1]) >= i[2]);
}
}
return res;
}
}
46 changes: 46 additions & 0 deletions src/main/java/g3101_3200/s3161_block_placement_queries/readme.md
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3161\. Block Placement Queries

Hard

There exists an infinite number line, with its origin at 0 and extending towards the **positive** x-axis.

You are given a 2D array `queries`, which contains two types of queries:

1. For a query of type 1, `queries[i] = [1, x]`. Build an obstacle at distance `x` from the origin. It is guaranteed that there is **no** obstacle at distance `x` when the query is asked.
2. For a query of type 2, `queries[i] = [2, x, sz]`. Check if it is possible to place a block of size `sz` _anywhere_ in the range `[0, x]` on the line, such that the block **entirely** lies in the range `[0, x]`. A block **cannot** be placed if it intersects with any obstacle, but it may touch it. Note that you do **not** actually place the block. Queries are separate.

Return a boolean array `results`, where `results[i]` is `true` if you can place the block specified in the <code>i<sup>th</sup></code> query of type 2, and `false` otherwise.

**Example 1:**

**Input:** queries = [[1,2],[2,3,3],[2,3,1],[2,2,2]]

**Output:** [false,true,true]

**Explanation:**

**![](https://assets.leetcode.com/uploads/2024/04/22/example0block.png)**

For query 0, place an obstacle at `x = 2`. A block of size at most 2 can be placed before `x = 3`.

**Example 2:**

**Input:** queries = [[1,7],[2,7,6],[1,2],[2,7,5],[2,7,6]]

**Output:** [true,true,false]

**Explanation:**

**![](https://assets.leetcode.com/uploads/2024/04/22/example1block.png)**

* Place an obstacle at `x = 7` for query 0. A block of size at most 7 can be placed before `x = 7`.
* Place an obstacle at `x = 2` for query 2. Now, a block of size at most 5 can be placed before `x = 7`, and a block of size at most 2 before `x = 2`.

**Constraints:**

* <code>1 <= queries.length <= 15 * 10<sup>4</sup></code>
* `2 <= queries[i].length <= 3`
* `1 <= queries[i][0] <= 2`
* <code>1 <= x, sz <= min(5 * 10<sup>4</sup>, 3 * queries.length)</code>
* The input is generated such that for queries of type 1, no obstacle exists at distance `x` when the query is asked.
* The input is generated such that there is at least one query of type 2.
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package g3101_3200.s3162_find_the_number_of_good_pairs_i;

// #Easy #Array #Hash_Table #2024_05_30_Time_1_ms_(99.96%)_Space_42.1_MB_(99.36%)

public class Solution {
public int numberOfPairs(int[] nums1, int[] nums2, int k) {
int c = 0;
for (int j : nums1) {
for (int value : nums2) {
if (j % (value * k) == 0) {
c++;
}
}
}
return c;
}
}
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