#include using namespace std; using ll = long long; #define INF (1000000000000000000) template class WaveletMatrix { int BIT_SIZE = 0; T unit; vector _a; vector order; vector> _B; vector> _sum; vector _finalSum; vector> _rank1; vector> _select0; vector> _select1; vector _zeroCount; vector _start, _last; int range_freq_internal(int s, int e, int low, int high, int b) { if (s > e) { return 0; } if (b == -1) { return e - s + 1; } if (low == 0 && high == ((1 << (b + 1)) - 1)) { return e - s + 1; } if (((low >> b) & 1) == 1) { int _s = _zeroCount[b] + _rank1[b][s - 1] + 1; int _e = _zeroCount[b] + _rank1[b][e]; return range_freq_internal(_s, _e, low ^ (1 << b), high ^ (1 << b), b - 1); } if (((high >> b) & 1) == 0) { int _s = (s - 1) - _rank1[b][s - 1] + 1; int _e = e - _rank1[b][e]; return range_freq_internal(_s, _e, low, high, b - 1); } int x, y; { int _s = (s - 1) - _rank1[b][s - 1] + 1; int _e = e - _rank1[b][e]; x = range_freq_internal(_s, _e, low, (1 << b) - 1, b - 1); } { int _s = _zeroCount[b] + _rank1[b][s - 1] + 1; int _e = _zeroCount[b] + _rank1[b][e]; y = range_freq_internal(_s, _e, 0, high ^ (1 << b), b - 1); } return x + y; } T range_sum_internal(int s, int e, int low, int high, int b) { if (s > e) { return unit; } if (b == -1) { if (s == 0) { return _finalSum[e]; } else { return _finalSum[e] - _finalSum[s - 1]; } } if (low == 0 && high == ((1 << (b + 1)) - 1)) { if (s == 0) { return _sum[b][e]; } else { return _sum[b][e] - _sum[b][s - 1]; } } if (((low >> b) & 1) == 1) { int _s = _zeroCount[b] + _rank1[b][s - 1] + 1; int _e = _zeroCount[b] + _rank1[b][e]; return range_sum_internal(_s, _e, low ^ (1 << b), high ^ (1 << b), b - 1); } if (((high >> b) & 1) == 0) { int _s = (s - 1) - _rank1[b][s - 1] + 1; int _e = e - _rank1[b][e]; return range_sum_internal(_s, _e, low, high, b - 1); } T x, y; { int _s = (s - 1) - _rank1[b][s - 1] + 1; int _e = e - _rank1[b][e]; x = range_sum_internal(_s, _e, low, (1 << b) - 1, b - 1); } { int _s = _zeroCount[b] + _rank1[b][s - 1] + 1; int _e = _zeroCount[b] + _rank1[b][e]; y = range_sum_internal(_s, _e, 0, high ^ (1 << b), b - 1); } return x + y; } public: WaveletMatrix(vector A, T _unit) : unit(_unit) { int N = A.size(); for (int i = 0; i < N; i++) { order.push_back(A[i]); } sort(order.begin(), order.end()); order.erase(unique(order.begin(), order.end()), order.end()); while ((1 << BIT_SIZE) < order.size()) { BIT_SIZE++; } vector a(N); for (int i = 0; i < N; i++) { int k = lower_bound(order.begin(), order.end(), A[i]) - order.begin(); a[i] = k; } _B.resize(BIT_SIZE); _sum.resize(BIT_SIZE); _rank1.resize(BIT_SIZE); _select0.resize(BIT_SIZE); _select1.resize(BIT_SIZE); _zeroCount.resize(BIT_SIZE, 0); for (int b = BIT_SIZE - 1; b >= 0; b--) { vector a_tmp[2]; _B[b].push_back(-1); _sum[b].push_back(unit); _rank1[b].push_back(0); _select0[b].push_back(-1); _select1[b].push_back(-1); for (int i = 0; i < N; i++) { int f = (a[i] >> b) & 1; _B[b].push_back(f); _sum[b].push_back(_sum[b].back() + order[a[i]]); _rank1[b].push_back(_rank1[b].back() + f); if (f == 0) { _select0[b].push_back(i + 1); } else { _select1[b].push_back(i + 1); } a_tmp[f].push_back(a[i]); } a.clear(); for (int x : a_tmp[0]) { a.push_back(x); } for (int x : a_tmp[1]) { a.push_back(x); } _zeroCount[b] = a_tmp[0].size(); } _start = vector(order.size(), -1); _last = vector(order.size(), -1); for (int i = (int)a.size() - 1; i >= 0; i--) { _start[a[i]] = i + 1; } for (int i = 0; i < a.size(); i++) { _last[a[i]] = i + 1; } _finalSum.push_back(unit); for (int i = 0; i < N; i++) { _finalSum.push_back(_finalSum.back() + order[a[i]]); } _a = a; } T access(int i) { int ret = 0; for (int b = BIT_SIZE - 1; b >= 0; b--) { if (_B[b][i] == 0) { i = i - _rank1[b][i]; } else { ret += (1 << b); i = _zeroCount[b] + _rank1[b][i]; } } return order[ret]; } int rank(T x, int i) { int num = lower_bound(order.begin(), order.end(), x) - order.begin(); if (num >= order.size() || order[num] != x) { return 0; } for (int b = BIT_SIZE - 1; b >= 0; b--) { if (((num >> b) & 1) == 0) { i = i - _rank1[b][i]; if (i == 0) { return 0; } } else { if (_rank1[b][i] == 0) { return 0; } i = _zeroCount[b] + _rank1[b][i]; } } return i - _start[num] + 1; } int select(T x, int ith) { if (ith == 0) { return -1; } int num = lower_bound(order.begin(), order.end(), x) - order.begin(); if (num >= order.size() || order[num] != x) { return -1; } if (_last[num] - _start[num] + 1 < ith) { return -1; } ith = _start[num] + (ith - 1); for (int b = 0; b < BIT_SIZE; b++) { if (((num >> b) & 1) == 0) { ith = _select0[b][ith]; } else { ith = _select1[b][ith - _zeroCount[b]]; } } return ith; } T quantile(int s, int e, int r) { for (int b = BIT_SIZE - 1; b >= 0; b--) { int cnt = (e - _rank1[b][e]) - ((s - 1) - _rank1[b][s - 1]); if (cnt >= r) { s = (s - 1) - _rank1[b][s - 1] + 1; e = e - _rank1[b][e]; } else { r -= cnt; s = _zeroCount[b] + _rank1[b][s - 1] + 1; e = _zeroCount[b] + _rank1[b][e]; } } int num = _a[s - 1]; return order[num]; } int range_freq(int s, int e, T low, T high) { if (s > e) { return 0; } int l = lower_bound(order.begin(), order.end(), low) - order.begin(); int r = upper_bound(order.begin(), order.end(), high) - order.begin(); r--; if (l > r) { return 0; } return range_freq_internal(s, e, l, r, BIT_SIZE - 1); } T range_sum(int s, int e, T low, T high) { if (s > e) { return 0; } int l = lower_bound(order.begin(), order.end(), low) - order.begin(); int r = upper_bound(order.begin(), order.end(), high) - order.begin(); r--; if (l > r) { return 0; } return range_sum_internal(s, e, l, r, BIT_SIZE - 1); } }; int main() { int N; cin >> N; vector A(N); for (int i = 0; i < N; i++) { cin >> A[i]; } WaveletMatrix wm(A, 0); ll ans = 0; for (int K = 1; K <= N; K++) { vector sum1, sum2; sum1.push_back(0); sum2.push_back(0); for (int i = 1; i + K - 1 <= N; i += K) { sum1.push_back(wm.quantile(i, i + K - 1, (K + 1) / 2) * K); } for (int i = N - K + 1; i > 0; i -= K) { sum2.push_back(wm.quantile(i, i + K - 1, (K + 1) / 2) * K); } for (int i = 1; i < sum1.size(); i++) { sum1[i] += sum1[i - 1]; } for (int i = 1; i < sum2.size(); i++) { sum2[i] += sum2[i - 1]; } for (int i = 1; i < sum2.size(); i++) { sum2[i] = max(sum2[i], sum2[i - 1]); } for (int i = 0; i < sum1.size(); i++) { ans = max(ans, sum1[i] + sum2[N / K - i]); } } cout << ans << endl; }