제출 #938132

#제출 시각아이디문제언어결과실행 시간메모리
938132sysia수열 (APIO14_sequence)C++17
0 / 100
63 ms8796 KiB
//Sylwia Sapkowska #include <bits/stdc++.h> #pragma GCC optimize("O3", "unroll-loops") using namespace std; void __print(int x) {cerr << x;} void __print(long long x) {cerr << x;} void __print(long double x) {cerr << x;} void __print(char x) {cerr << "'" << x << "'";} void __print(const char *x) {cerr << '"' << x << '"';} void __print(const string &x) {cerr << '"' << x << '"';} void __print(bool x) {cerr << (x ? "true" : "false");} template<typename T, typename V> void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';} template<typename T> void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";} void _print() {cerr << "]\n";} template <typename T, typename... V> void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);} #ifdef LOCAL #define debug(x...) cerr << "[" << #x << "] = ["; _print(x) #else #define debug(x...) #endif // #define int long long typedef pair<int, int> T; const int oo = 1e9+7, K = 30; const int mod = 998244353; void solve(){ int n, k; cin >> n >> k; k++; vector<int>pref(n+1); for (int i = 1; i<=n; i++) { cin >> pref[i]; pref[i] += pref[i-1]; } vector prev(n+1, vector<int32_t>(k+1, -oo)); vector<int>dp(n+1, -oo); dp[0] = 0; for (int j = 1; j<=k; j++){ deque<pair<T, int>>q; q.push_back({{0, 0}, 0}); auto inter = [&](T x, T y){ return (long double)(y.second-x.second)/(long double)(x.first-y.first); }; auto add = [&](T x, int i){ while ((int)q.size() >= 2 && inter(q[0].first, q[1].first) <= inter(q[1].first, x)) q.pop_front(); q.push_front({x, i}); }; auto query = [&](int x){ auto get = [&](T curr){ return curr.first * x + curr.second; }; while ((int)q.size() >= 2 && get(q[(int)q.size()-2].first) >= get(q.back().first)) q.pop_back(); return T{get(q.back().first), q.back().second}; }; debug(j); vector<int>new_dp(n+1); for (int i = 1; i<=n; i++){ debug(i, q); auto [v, id] = query(pref[n]-pref[i]); v += (pref[n]-pref[i]) * pref[i]; new_dp[i] = v; prev[i][j] = id; add({-pref[i], dp[i]}, i); // debug(i, j, dp[i][j].first); } dp.swap(new_dp); } cout << dp[n] << "\n"; vector<int>ret; for (int pos = n, ile = k; ile; pos = prev[pos][ile], ile--){ ret.emplace_back(pos); } reverse(ret.begin(), ret.end()); ret.pop_back(); for (auto x: ret) cout << x << " "; cout << "\n"; } int32_t main(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int t = 1; //cin >> t; while (t--) solve(); return 0; }
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