diff options
Diffstat (limited to 'math/inversions.cpp')
| -rw-r--r-- | math/inversions.cpp | 34 |
1 files changed, 8 insertions, 26 deletions
diff --git a/math/inversions.cpp b/math/inversions.cpp index 0720407..02256ca 100644 --- a/math/inversions.cpp +++ b/math/inversions.cpp @@ -1,27 +1,9 @@ -// Laufzeit: O(n*log(n)) -ll merge(vector<ll> &v, vector<ll> &left, vector<ll> &right) { - int a = 0, b = 0, i = 0; - ll inv = 0; - while (a < (int)left.size() && b < (int)right.size()) { - if (left[a] < right[b]) v[i++] = left[a++]; - else { - inv += left.size() - a; - v[i++] = right[b++]; - } - } - while (a < (int)left.size()) v[i++] = left[a++]; - while (b < (int)right.size()) v[i++] = right[b++]; - return inv; -} - -ll mergeSort(vector<ll> &v) { // Sortiert v und gibt Inversionszahl zurück. - int n = v.size(); - vector<ll> left(n / 2), right((n + 1) / 2); - for (int i = 0; i < n / 2; i++) left[i] = v[i]; - for (int i = n / 2; i < n; i++) right[i - n / 2] = v[i]; - - ll result = 0; - if (left.size() > 1) result += mergeSort(left); - if (right.size() > 1) result += mergeSort(right); - return result + merge(v, left, right); +ll inversions(const vector<ll>& v) { + Tree<pair<ll, ll>> t; //ordered statistics tree + ll res = 0; + for (ll i = 0; i < (ll)v.size(); i++) { + res += i - t.order_of_key({v[i], i}); + t.insert({v[i], i}); + } + return res; } |
