数组中的逆序对
Desicription
在数组中的两个数字,如果前面一个数字大于后面的数字,则这两个数字组成一个逆序对。输入一个数组,求出这个数组中的逆序对的总数P。并将P对1000000007取模的结果输出。 即输出P%1000000007
Solution
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| class Solution { private: int count = 0; void Merge(vector<int>& data, int left, int right) { int mid = (left + right) >> 1; int i = left; int j = mid + 1; int k = right; vector<int> tmp; while(i <= mid && j <= right) { if(data[i] <= data[j]) { tmp.emplace_back(data[i++]); } else { count += mid - i + 1; count %= 1000000007; tmp.emplace_back(data[j++]); } } while(i <= mid) { tmp.emplace_back(data[i++]); } while(j <= right) { tmp.emplace_back(data[j++]); } int index = 0; for(int a = left; a <= right; a++) { data[a] = tmp[index++]; }
} void MergeSort(vector<int>& data, int left, int right) { if(left < right) { int mid = (left + right) >> 1; MergeSort(data, left, mid); MergeSort(data, mid + 1, right); Merge(data, left, right); } } public: int InversePairs(vector<int> data) { MergeSort(data, 0, data.size() - 1); return count; } };
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