|
| 1 | +--- |
| 2 | +id: count-days-without-meetings |
| 3 | +title: Count Days Without Meetings |
| 4 | +sidebar_label: 3169. Count Days Without Meetings |
| 5 | +tags: |
| 6 | +- Array |
| 7 | +- Sorting |
| 8 | +description: "This is a solution to the Count Days Without Meetings problem on LeetCode." |
| 9 | +--- |
| 10 | + |
| 11 | +## Problem Description |
| 12 | +You are given a positive integer days representing the total number of days an employee is available for work (starting from day 1). You are also given a 2D array meetings of size n where, `meetings[i] = [start_i, end_i]` represents the starting and ending days of meeting i (inclusive). |
| 13 | + |
| 14 | +Return the count of days when the employee is available for work but no meetings are scheduled. |
| 15 | + |
| 16 | +Note: The meetings may overlap. |
| 17 | +### Examples |
| 18 | + |
| 19 | +**Example 1:** |
| 20 | + |
| 21 | +``` |
| 22 | +Input: days = 10, meetings = [[5,7],[1,3],[9,10]] |
| 23 | +
|
| 24 | +Output: 2 |
| 25 | +
|
| 26 | +Explanation: |
| 27 | +
|
| 28 | +There is no meeting scheduled on the 4th and 8th days. |
| 29 | +
|
| 30 | +``` |
| 31 | + |
| 32 | +**Example 2:** |
| 33 | +``` |
| 34 | +Input: days = 5, meetings = [[2,4],[1,3]] |
| 35 | +
|
| 36 | +Output: 1 |
| 37 | +
|
| 38 | +Explanation: |
| 39 | +
|
| 40 | +There is no meeting scheduled on the 5th day. |
| 41 | +``` |
| 42 | +**Example 3:** |
| 43 | +``` |
| 44 | +Input: days = 6, meetings = [[1,6]] |
| 45 | +
|
| 46 | +Output: 0 |
| 47 | +
|
| 48 | +Explanation: |
| 49 | +
|
| 50 | +Meetings are scheduled for all working days. |
| 51 | +``` |
| 52 | + |
| 53 | +### Constraints |
| 54 | +- `1 <= days <= 10^9` |
| 55 | +- `1 <= meetings.length <= 10^5` |
| 56 | +- `meetings[i].length == 2` |
| 57 | +- `1 <= meetings[i][0] <= meetings[i][1] <= days` |
| 58 | + |
| 59 | +## Solution for Find the N-th Value After K Seconds Problem |
| 60 | +### Prerequisite - Do Merge Interval Question On Leetcode |
| 61 | +### Approach |
| 62 | +To solve the problem of counting non-working days given a list of intervals that denote working days, we can break down the solution into the following steps: |
| 63 | + |
| 64 | +- Merge Intervals: Given a list of intervals representing working days, merge any overlapping intervals to consolidate the total working days. This step ensures that we account for continuous working periods without duplication. |
| 65 | + |
| 66 | +- Count Working Days: After merging the intervals, calculate the total number of working days by summing up the lengths of all the merged intervals. |
| 67 | + |
| 68 | +- Calculate Non-Working Days: Subtract the total number of working days from the total number of days to get the number of non-working days. |
| 69 | + |
| 70 | +### Detailed Steps |
| 71 | +#### Merge Intervals: |
| 72 | + |
| 73 | +- Sort the intervals based on the start day. |
| 74 | +- Iterate through the intervals and merge them if they overlap. |
| 75 | +- Maintain a list of merged intervals. |
| 76 | +#### Count Working Days: |
| 77 | + |
| 78 | +- For each merged interval, calculate the length of the interval (end day - start day + 1). |
| 79 | +- Sum up the lengths to get the total number of working days. |
| 80 | + |
| 81 | +#### Calculate Non-Working Days: |
| 82 | +- Subtract the total number of working days from the total number of days given. |
| 83 | + |
| 84 | + |
| 85 | +<Tabs> |
| 86 | + <TabItem value="Solution" label="Solution"> |
| 87 | + |
| 88 | + #### Implementation |
| 89 | + ```jsx live |
| 90 | + function Solution(arr) { |
| 91 | + function merge(intervals) { |
| 92 | + intervals.sort((a, b) => a[0] - b[0]); |
| 93 | + const output = []; |
| 94 | + for (let interval of intervals) { |
| 95 | + if (output.length === 0 || output[output.length - 1][1] < interval[0]) { |
| 96 | + output.push(interval); |
| 97 | + } else { |
| 98 | + output[output.length - 1][1] = Math.max(output[output.length - 1][1], interval[1]); |
| 99 | + } |
| 100 | + } |
| 101 | + return output; |
| 102 | + } |
| 103 | + |
| 104 | + function countDays(days, meetings) { |
| 105 | + const ans = merge(meetings); |
| 106 | + for (let [st, end] of ans) { |
| 107 | + days -= (end - st + 1); |
| 108 | + } |
| 109 | + return days; |
| 110 | + } |
| 111 | + const input = [[5,7],[1,3],[9,10]]; |
| 112 | + const days = 10 |
| 113 | + const output = countDays(days , input) |
| 114 | + return ( |
| 115 | + <div> |
| 116 | + <p> |
| 117 | + <b>Input: </b> |
| 118 | + {JSON.stringify(input)} |
| 119 | + </p> |
| 120 | + <p> |
| 121 | + <b>Output:</b> {output.toString()} |
| 122 | + </p> |
| 123 | + </div> |
| 124 | + ); |
| 125 | + } |
| 126 | + ``` |
| 127 | + |
| 128 | + #### Complexity Analysis |
| 129 | + |
| 130 | + - Time Complexity: $ O(nlogn) $ |
| 131 | + - Space Complexity: $ O(1) $ |
| 132 | + ## Code in Different Languages |
| 133 | + <Tabs> |
| 134 | + <TabItem value="JavaScript" label="JavaScript"> |
| 135 | + <SolutionAuthor name="@hiteshgahanolia"/> |
| 136 | + ```javascript |
| 137 | + function merge(intervals) { |
| 138 | + intervals.sort((a, b) => a[0] - b[0]); |
| 139 | + const output = []; |
| 140 | + for (let interval of intervals) { |
| 141 | + if (output.length === 0 || output[output.length - 1][1] < interval[0]) { |
| 142 | + output.push(interval); |
| 143 | + } else { |
| 144 | + output[output.length - 1][1] = Math.max(output[output.length - 1][1], interval[1]); |
| 145 | + } |
| 146 | + } |
| 147 | + return output; |
| 148 | + } |
| 149 | + |
| 150 | + function countDays(days, meetings) { |
| 151 | + const ans = merge(meetings); |
| 152 | + for (let [st, end] of ans) { |
| 153 | + days -= (end - st + 1); |
| 154 | + } |
| 155 | + return days; |
| 156 | + } |
| 157 | + ``` |
| 158 | + |
| 159 | + </TabItem> |
| 160 | + <TabItem value="TypeScript" label="TypeScript"> |
| 161 | + <SolutionAuthor name="@hiteshgahanolia"/> |
| 162 | + ```typescript |
| 163 | + class Solution { |
| 164 | + merge(intervals: number[][]): number[][] { |
| 165 | + intervals.sort((a, b) => a[0] - b[0]); |
| 166 | + const output: number[][] = []; |
| 167 | + for (const interval of intervals) { |
| 168 | + if (output.length === 0 || output[output.length - 1][1] < interval[0]) { |
| 169 | + output.push(interval); |
| 170 | + } else { |
| 171 | + output[output.length - 1][1] = Math.max(output[output.length - 1][1], interval[1]); |
| 172 | + } |
| 173 | + } |
| 174 | + return output; |
| 175 | + } |
| 176 | +
|
| 177 | + countDays(days: number, meetings: number[][]): number { |
| 178 | + const ans = this.merge(meetings); |
| 179 | + for (const [st, end] of ans) { |
| 180 | + days -= (end - st + 1); |
| 181 | + } |
| 182 | + return days; |
| 183 | + } |
| 184 | +} |
| 185 | +
|
| 186 | + ``` |
| 187 | + </TabItem> |
| 188 | + <TabItem value="Python" label="Python"> |
| 189 | + <SolutionAuthor name="@hiteshgahanolia"/> |
| 190 | + ```python |
| 191 | + class Solution: |
| 192 | + def merge(self, intervals): |
| 193 | + intervals.sort() |
| 194 | + output = [] |
| 195 | + for interval in intervals: |
| 196 | + if not output or output[-1][1] < interval[0]: |
| 197 | + output.append(interval) |
| 198 | + else: |
| 199 | + output[-1][1] = max(output[-1][1], interval[1]) |
| 200 | + return output |
| 201 | + |
| 202 | + def count_days(self, days, meetings): |
| 203 | + ans = self.merge(meetings) |
| 204 | + for st, end in ans: |
| 205 | + days -= (end - st + 1) |
| 206 | + return days |
| 207 | +
|
| 208 | + ``` |
| 209 | + </TabItem> |
| 210 | + <TabItem value="Java" label="Java"> |
| 211 | + <SolutionAuthor name="@hiteshgahanolia"/> |
| 212 | + ```java |
| 213 | + import java.util.*; |
| 214 | +
|
| 215 | +public class Solution { |
| 216 | + public List<int[]> merge(List<int[]> intervals) { |
| 217 | + int n = intervals.size(); |
| 218 | + intervals.sort((a, b) -> a[0] - b[0]); |
| 219 | + List<int[]> output = new ArrayList<>(); |
| 220 | + for (int[] interval : intervals) { |
| 221 | + if (output.isEmpty() || output.get(output.size() - 1)[1] < interval[0]) { |
| 222 | + output.add(interval); |
| 223 | + } else { |
| 224 | + output.get(output.size() - 1)[1] = Math.max(output.get(output.size() - 1)[1], interval[1]); |
| 225 | + } |
| 226 | + } |
| 227 | + return output; |
| 228 | + } |
| 229 | +
|
| 230 | + public int countDays(int days, List<int[]> meetings) { |
| 231 | + List<int[]> ans = merge(meetings); |
| 232 | + for (int[] i : ans) { |
| 233 | + int st = i[0]; |
| 234 | + int end = i[1]; |
| 235 | + days -= (end - st + 1); |
| 236 | + } |
| 237 | + return days; |
| 238 | + } |
| 239 | +} |
| 240 | +
|
| 241 | + ``` |
| 242 | + |
| 243 | + </TabItem> |
| 244 | + <TabItem value="C++" label="C++"> |
| 245 | + <SolutionAuthor name="@hiteshgahanolia"/> |
| 246 | + ```cpp |
| 247 | + class Solution { |
| 248 | +public: |
| 249 | + vector<vector<int>> merge(vector<vector<int>>& intervals) { |
| 250 | + int n = intervals.size(); |
| 251 | + sort(intervals.begin(), intervals.end()); |
| 252 | + vector<vector<int>> output; |
| 253 | + for(auto interval : intervals){ |
| 254 | + if(output.empty() || output.back()[1] < interval[0]){ |
| 255 | + output.push_back(interval); |
| 256 | + } |
| 257 | + else{ |
| 258 | + output.back()[1] = max(output.back()[1], interval[1]); |
| 259 | + } |
| 260 | + } |
| 261 | + return output; |
| 262 | + } |
| 263 | + int countDays(int days, vector<vector<int>>& meetings) { |
| 264 | + vector<vector<int>>ans = merge(meetings); |
| 265 | + sort(begin(ans) , end(ans)); |
| 266 | + for(auto i:ans) |
| 267 | + { |
| 268 | + int st = i[0]; |
| 269 | + int end = i[1]; |
| 270 | + |
| 271 | + days -=(end -st +1); |
| 272 | + } |
| 273 | + return days; |
| 274 | + } |
| 275 | +}; |
| 276 | + ``` |
| 277 | +</TabItem> |
| 278 | +</Tabs> |
| 279 | + |
| 280 | + </TabItem> |
| 281 | +</Tabs> |
| 282 | + |
| 283 | +## References |
| 284 | + |
| 285 | +- **LeetCode Problem**: [Count Days Without Meetings](https://leetcode.com/problems/count-days-without-meetings/description/) |
| 286 | + |
| 287 | +- **Solution Link**: [LeetCode Solution](https://leetcode.com/problems/count-days-without-meetings/solutions/) |
| 288 | + |
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