Earliest Second to Mark Indices II - Practice Coding | SlaveCode
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3049. Earliest Second to Mark Indices II
Hard
50 Points
Array
Binary Search
Greedy
Heap (Priority Queue)
You are given two 1-indexed integer arrays, nums and, changeIndices, having lengths n and m, respectively.
Initially, all indices in nums are unmarked. Your task is to mark all indices in nums.
In each second, s, in order from 1 to m (inclusive), you can perform one of the following operations:
Return an integer denoting the earliest second in the range [1, m] when all indices in nums can be marked by choosing operations optimally, or -1 if it is impossible.
Examples
Example 1
Input: nums = [3,2,3], changeIndices = [1,3,2,2,2,2,3]
Output: 6
Explanation: In this example, we have 7 seconds. The following operations can be performed to mark all indices:
Second 1: Set nums[changeIndices[1]] to 0. nums becomes [0,2,3].
Second 2: Set nums[changeIndices[2]] to 0. nums becomes [0,2,0].
Second 3: Set nums[changeIndices[3]] to 0. nums becomes [0,0,0].
Second 4: Mark index 1, since nums[1] is equal to 0.
Second 5: Mark index 2, since nums[2] is equal to 0.
Second 6: Mark index 3, since nums[3] is equal to 0.
Now all indices have been marked.
It can be shown that it is not possible to mark all indices earlier than the 6th second.
Hence, the answer is 6.
Example 2
Input: nums = [0,0,1,2], changeIndices = [1,2,1,2,1,2,1,2]
Output: 7
Explanation: In this example, we have 8 seconds. The following operations can be performed to mark all indices:
Second 1: Mark index 1, since nums[1] is equal to 0.
Second 2: Mark index 2, since nums[2] is equal to 0.
Second 3: Decrement index 4 by one. nums becomes [0,0,1,1].
Second 4: Decrement index 4 by one. nums becomes [0,0,1,0].
Second 5: Decrement index 3 by one. nums becomes [0,0,0,0].
Second 6: Mark index 3, since nums[3] is equal to 0.
Second 7: Mark index 4, since nums[4] is equal to 0.
Now all indices have been marked.
It can be shown that it is not possible to mark all indices earlier than the 7th second.
Hence, the answer is 7.
Example 3
Input: nums = [1,2,3], changeIndices = [1,2,3]
Output: -1
Explanation: In this example, it can be shown that it is impossible to mark all indices, as we don't have enough seconds.
Hence, the answer is -1.
Constraints
1 <= n == nums.length <= 5000
0 <= nums[i] <= 109
1 <= m == changeIndices.length <= 5000
1 <= changeIndices[i] <= n
3049. Earliest Second to Mark Indices II
Hard
50 Points
Array
Binary Search
Greedy
Heap (Priority Queue)
You are given two 1-indexed integer arrays, nums and, changeIndices, having lengths n and m, respectively.
Initially, all indices in nums are unmarked. Your task is to mark all indices in nums.
In each second, s, in order from 1 to m (inclusive), you can perform one of the following operations:
Return an integer denoting the earliest second in the range [1, m] when all indices in nums can be marked by choosing operations optimally, or -1 if it is impossible.
Examples
Example 1
Input: nums = [3,2,3], changeIndices = [1,3,2,2,2,2,3]
Output: 6
Explanation: In this example, we have 7 seconds. The following operations can be performed to mark all indices:
Second 1: Set nums[changeIndices[1]] to 0. nums becomes [0,2,3].
Second 2: Set nums[changeIndices[2]] to 0. nums becomes [0,2,0].
Second 3: Set nums[changeIndices[3]] to 0. nums becomes [0,0,0].
Second 4: Mark index 1, since nums[1] is equal to 0.
Second 5: Mark index 2, since nums[2] is equal to 0.
Second 6: Mark index 3, since nums[3] is equal to 0.
Now all indices have been marked.
It can be shown that it is not possible to mark all indices earlier than the 6th second.
Hence, the answer is 6.
Example 2
Input: nums = [0,0,1,2], changeIndices = [1,2,1,2,1,2,1,2]
Output: 7
Explanation: In this example, we have 8 seconds. The following operations can be performed to mark all indices:
Second 1: Mark index 1, since nums[1] is equal to 0.
Second 2: Mark index 2, since nums[2] is equal to 0.
Second 3: Decrement index 4 by one. nums becomes [0,0,1,1].
Second 4: Decrement index 4 by one. nums becomes [0,0,1,0].
Second 5: Decrement index 3 by one. nums becomes [0,0,0,0].
Second 6: Mark index 3, since nums[3] is equal to 0.
Second 7: Mark index 4, since nums[4] is equal to 0.
Now all indices have been marked.
It can be shown that it is not possible to mark all indices earlier than the 7th second.
Hence, the answer is 7.
Example 3
Input: nums = [1,2,3], changeIndices = [1,2,3]
Output: -1
Explanation: In this example, it can be shown that it is impossible to mark all indices, as we don't have enough seconds.
Hence, the answer is -1.