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Create minimum-number-of-removals-to-make-mountain-array.cpp
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// Time: O(nlogn)
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// Space: O(n)
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class Solution {
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public:
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int minimumMountainRemovals(vector<int>& nums) {
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vector<int> left_lis_len(size(nums));
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vector<int> lis;
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for (int i = 0; i + 1 < size(nums); ++i) {
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auto it = lower_bound(begin(lis), end(lis), nums[i]);
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left_lis_len[i] = distance(begin(lis), it);
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if (it == end(lis)) {
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lis.emplace_back(nums[i]);
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} else {
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*it = nums[i];
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}
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}
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lis.clear();
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int max_len = 0;
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for (int i = size(nums) - 1; i > 0; --i) {
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auto it = lower_bound(begin(lis), end(lis), nums[i]);
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max_len = max(max_len, left_lis_len[i] + int(distance(begin(lis), it)));
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if (it == end(lis)) {
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lis.emplace_back(nums[i]);
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} else {
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*it = nums[i];
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}
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}
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return size(nums) - (1 + max_len);
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}
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};

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