#ifndef HIDDEN_IN_VS // 折りたたみ用 // 警告の抑制 #define _CRT_SECURE_NO_WARNINGS // ライブラリの読み込み #include using namespace std; // 型名の短縮 using ll = long long; // -2^63 ~ 2^63 = 9 * 10^18(int は -2^31 ~ 2^31 = 2 * 10^9) using pii = pair; using pll = pair; using pil = pair; using pli = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vb = vector; using vvb = vector; using vvvb = vector; using vc = vector; using vvc = vector; using vvvc = vector; using vd = vector; using vvd = vector; using vvvd = vector; template using priority_queue_rev = priority_queue, greater>; using Graph = vvi; // 定数の定義 const double PI = acos(-1); const vi dx4 = { 1, 0, -1, 0 }; // 4 近傍(下,右,上,左) const vi dy4 = { 0, 1, 0, -1 }; const vi dx8 = { 1, 1, 0, -1, -1, -1, 0, 1 }; // 8 近傍 const vi dy8 = { 0, 1, 1, 1, 0, -1, -1, -1 }; const int INF = 1001001001; const ll INFL = 4004004004004004004LL; const double EPS = 1e-12; // 許容誤差に応じて調整 // 入出力高速化 struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } fastIOtmp; // 汎用マクロの定義 #define all(a) (a).begin(), (a).end() #define sz(x) ((int)(x).size()) #define distance (int)distance #define Yes(b) {cout << ((b) ? "Yes\n" : "No\n");} #define YES(b) {cout << ((b) ? "YES\n" : "NO\n");} #define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順 #define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順 #define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順 #define repe(v, a) for(const auto& v : (a)) // a の全要素(変更不可能) #define repea(v, a) for(auto& v : (a)) // a の全要素(変更可能) #define repb(set, d) for(int set = 0; set < (1 << int(d)); ++set) // d ビット全探索(昇順) #define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て(昇順) #define smod(n, m) ((((n) % (m)) + (m)) % (m)) // 非負mod #define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去 #define EXIT(a) {cout << (a) << endl; exit(0);} // 強制終了 // 汎用関数の定義 template inline ll pow(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; } template inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す) template inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す) // 演算子オーバーロード template inline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template inline istream& operator>>(istream& is, vector& v) { repea(x, v) is >> x; return is; } template inline vector& operator--(vector& v) { repea(x, v) --x; return v; } template inline vector& operator++(vector& v) { repea(x, v) ++x; return v; } // 手元環境(Visual Studio) #ifdef _MSC_VER #include "local.hpp" // 提出用(gcc) #else #define popcount (int)__builtin_popcount #define popcountll (int)__builtin_popcountll #define lsb __builtin_ctz #define lsbll __builtin_ctzll #define msb(n) (31 - __builtin_clz(n)) #define msbll(n) (63 - __builtin_clzll(n)) #define gcd __gcd #define dump(...) #define dumpel(v) #define input_from_file(f) #define output_to_file(f) #endif #endif // 折りたたみ用 //--------------AtCoder 専用-------------- #include using namespace atcoder; using mint = modint1000000007; //using mint = modint998244353; //using mint = modint; // mint::set_mod(m); istream& operator>>(istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; } ostream& operator<<(ostream& os, const mint& x) { os << x.val(); return os; } using vm = vector; using vvm = vector; using vvvm = vector; //---------------------------------------- void naive() { int n, m, l; cin >> n >> m >> l; vl a(n); cin >> a; dump(a); vl c(l); rep(i, n * m) c[i % l] += a[i % n]; dump(c); cout << *max_element(all(c)) << endl; } void zikken(ll n, ll m, ll l) { vvi c(l); rep(i, n * m) c[i % l].push_back(i % n); dumpel(c); } /* (n, m, l) = (18, 29, 24) -> g = 6 0: [0 6 12] 0 6 12 0 6 12 0 6 12 0 6 12 0 6 12 0 6 12 0 * 1: [1 7 13] 1 7 13 1 7 13 1 7 13 1 7 13 1 7 13 1 7 13 1 * 2: [2 8 14] 2 8 14 2 8 14 2 8 14 2 8 14 2 8 14 2 8 14 2 * 3: [3 9 15] 3 9 15 3 9 15 3 9 15 3 9 15 3 9 15 3 9 15 3 * 4: [4 10 16] 4 10 16 4 10 16 4 10 16 4 10 16 4 10 16 4 10 16 4 * 5: [5 11 17] 5 11 17 5 11 17 5 11 17 5 11 17 5 11 17 5 11 17 5 * 6: 6 12 0 6 12 0 6 12 0 6 12 0 6 12 0 6 12 0 6 12 0 6 * 7: 7 13 1 7 13 1 7 13 1 7 13 1 7 13 1 7 13 1 7 13 1 7 * 8: 8 14 2 8 14 2 8 14 2 8 14 2 8 14 2 8 14 2 8 14 2 8 * 9: 9 15 3 9 15 3 9 15 3 9 15 3 9 15 3 9 15 3 9 15 3 9 * 10: 10 16 4 10 16 4 10 16 4 10 16 4 10 16 4 10 16 4 10 16 4 10 * 11: 11 17 5 11 17 5 11 17 5 11 17 5 11 17 5 11 17 5 11 17 5 11 * 12: 12 0 6 12 0 6 12 0 6 12 0 6 12 0 6 12 0 6 12 0 6 12 * 13: 13 1 7 13 1 7 13 1 7 13 1 7 13 1 7 13 1 7 13 1 7 13 * 14: 14 2 8 14 2 8 14 2 8 14 2 8 14 2 8 14 2 8 14 2 8 14 * 15: 15 3 9 15 3 9 15 3 9 15 3 9 15 3 9 15 3 9 15 3 9 15 * 16: 16 4 10 16 4 10 16 4 10 16 4 10 16 4 10 16 4 10 16 4 10 16 * 17: 17 5 11 17 5 11 17 5 11 17 5 11 17 5 11 17 5 11 17 5 11 17 * 18: [0 6 12] 0 6 12 0 6 12 0 6 12 0 6 12 0 6 12 0 6 12 19: [1 7 13] 1 7 13 1 7 13 1 7 13 1 7 13 1 7 13 1 7 13 20: [2 8 14] 2 8 14 2 8 14 2 8 14 2 8 14 2 8 14 2 8 14 21: [3 9 15] 3 9 15 3 9 15 3 9 15 3 9 15 3 9 15 3 9 15 22: [4 10 16] 4 10 16 4 10 16 4 10 16 4 10 16 4 10 16 4 10 16 23: [5 11 17] 5 11 17 5 11 17 5 11 17 5 11 17 5 11 17 5 11 17 (n, m, l) = (15, 29, 24) -> g = 3 0: [0 9 3 12 6] 0 9 3 12 6 0 9 3 12 6 0 9 3 12 * 1: [1 10 4 13 7] 1 10 4 13 7 1 10 4 13 7 1 10 4 13 * 2: [2 11 5 14 8] 2 11 5 14 8 2 11 5 14 8 2 11 5 14 * 3: 3 12 6 0 9 3 12 6 0 9 3 12 6 0 9 3 12 6 4: 4 13 7 1 10 4 13 7 1 10 4 13 7 1 10 4 13 7 5: 5 14 8 2 11 5 14 8 2 11 5 14 8 2 11 5 14 8 6: 6 0 9 3 12 6 0 9 3 12 6 0 9 3 12 6 0 9 7: 7 1 10 4 13 7 1 10 4 13 7 1 10 4 13 7 1 10 8: 8 2 11 5 14 8 2 11 5 14 8 2 11 5 14 8 2 11 9: 9 3 12 6 0 9 3 12 6 0 9 3 12 6 0 9 3 12 10: 10 4 13 7 1 10 4 13 7 1 10 4 13 7 1 10 4 13 11: 11 5 14 8 2 11 5 14 8 2 11 5 14 8 2 11 5 14 12: 12 6 0 9 3 12 6 0 9 3 12 6 0 9 3 12 6 0 13: 13 7 1 10 4 13 7 1 10 4 13 7 1 10 4 13 7 1 14: 14 8 2 11 5 14 8 2 11 5 14 8 2 11 5 14 8 2 15: [0 9 3 12 6] 0 9 3 12 6 0 9 3 12 6 0 9 3 16: [1 10 4 13 7] 1 10 4 13 7 1 10 4 13 7 1 10 4 17: [2 11 5 14 8] 2 11 5 14 8 2 11 5 14 8 2 11 5 18: 3 12 6 0 9 3 12 6 0 9 3 12 6 0 9 3 12 6 19: 4 13 7 1 10 4 13 7 1 10 4 13 7 1 10 4 13 7 20: 5 14 8 2 11 5 14 8 2 11 5 14 8 2 11 5 14 8 21: 6 0 9 3 12 6 0 9 3 12 6 0 9 3 12 6 0 9 22: 7 1 10 4 13 7 1 10 4 13 7 1 10 4 13 7 1 10 23: 8 2 11 5 14 8 2 11 5 14 8 2 11 5 14 8 2 11 */ int main() { // input_from_file("input.txt"); // output_to_file("output.txt"); ll n, m, l; cin >> n >> m >> l; // zikken(n, m, l); vl a(n); // iota(all(a), 0); cin >> a; ll bh = gcd(n, l); ll bw = n / bh; dump(bh, bw); vvl b(bh, vl(bw)); rep(i, bh) rep(j, bw) b[i][j] = a[(i + j * l) % n]; dumpel(b); vvl b_acc(bh, vl(bw * 2 + 2)); rep(i, bh) rep(j, bw * 2 + 1) b_acc[i][j + 1] = b_acc[i][j] + b[i][j % bw]; dumpel(b_acc); ll w = n * m / l; ll rmd = n * m % l; dump(w, rmd); vi p(bw); rep(j, bw) p[(j * l) % n / bh] = j; dump(p); ll res = -INFL; for (ll i = 0; i < min(n, l); i++) { ll x = i % bh; ll y = p[(i / bh) % bw]; ll v = b_acc[x][bw] * (w / bw); v += b_acc[x][y + w % bw] - b_acc[x][y]; if (i < rmd) v += a[(w * l + i) % n]; chmax(res, v); } for (ll i = l - 1; i >= max(l - n, 0LL); i--) { ll x = i % bh; ll y = p[(i / bh) % bw]; ll v = b_acc[x][bw] * (w / bw); v += b_acc[x][y + w % bw] - b_acc[x][y]; if (i < rmd) v += a[(w * l + i) % n]; chmax(res, v); } cout << res << endl; }