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Create can-make-arithmetic-progression-from-sequence.cpp
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// Time: O(n)
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// Space: O(1)
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class Solution {
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public:
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bool canMakeArithmeticProgression(vector<int>& arr) {
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const auto m = *min_element(cbegin(arr), cend(arr));
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const auto& d = (*max_element(cbegin(arr), cend(arr)) - m) / (arr.size() - 1);
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if (!d) {
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return true;
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}
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for (int i = 0; i < arr.size();) {
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if (arr[i] == m + i * d) {
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++i;
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} else {
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const auto& diff = arr[i] - m;
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if (diff % d || diff / d >= arr.size() || arr[i] == arr[diff / d]) {
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return false;
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}
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swap(arr[i], arr[diff / d]);
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}
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}
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return true;
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}
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};

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