제출 #765940

#제출 시각아이디문제언어결과실행 시간메모리
765940Shreyan_Paliwal수열 (APIO14_sequence)C++17
0 / 100
46 ms131072 KiB
#include <bits/stdc++.h> using namespace std; #define int long long template<typename T> string tostr(const T& value) { ostringstream oss; oss << value; return oss.str(); } template<typename... Args> string fstr(const string& format, Args... args) { string result = format; size_t pos = 0; size_t argIndex = 0; auto replaceArg = [&](const auto& arg) { pos = result.find("{}", pos); if (pos != string::npos) { result.replace(pos, 2, tostr(arg)); ++argIndex; } }; (replaceArg(args), ...); return result; } const int maxn = 100000; const int maxk = 200; const int INF = 2000000000000000; int n, k; int v[maxn+1]; int dp[maxn+1][2]; int p[maxn+1][maxk+1]; struct F { int a, b; bool operator<(F o) const { return a*o.b<b*o.a; } }; struct L { int m, b, i; int f(int x) { return m*x+b; } F operator^(L o) { return F{b-o.b,o.m-m}; } }; struct CHT { deque<L> d; void add(L l) { while (d.size() >= 2 && (d.end()[-2]^l) < (d.end()[-2]^d.back())) d.pop_back(); d.push_back(l); } L qry(int x) { while (d.size() >= 2 && d[1].f(x) > d[0].f(x)) d.pop_front(); return d[0]; } }; signed main() { cin.tie(nullptr) -> ios::sync_with_stdio(false); // freopen("main.in", "r", stdin); cin >> n >> k; for (int i = 1; i <= n; i++) { cin >> v[i]; v[i] += v[i-1]; } fill(dp[0], dp[0] + 2*(maxn+1), -INF); // dp[0][0 & 1] = 0; for (int i = 1; i <= k; i++) { CHT h; for (int j = 1; j <= n; j++) { h.add(L{v[j-1], dp[j-1][(i-1)&1] - v[j-1] * v[j-1], j-1}); L l = h.qry(v[j]); dp[j][i&1] = max(l.f(v[j]), -INF); p[j][i] = l.i; // cout << fstr("{} {} {} {} {}", i, j, i&1, j&1, (i-1)&1) << endl; // cout << fstr("(i {}) (j {}) (dp[j-1][(i-1)&1] {}) (dp[j][i&1] {})", i, j, dp[j-1][(i-1)&1], dp[j][i&1]) << endl; } // cout << endl; } int ans = -INF; for (int i = 0; i <= n; i++) ans = max(ans, (v[n] - v[i]) * v[i] + dp[i][k & 1]); cout << ans << endl; for (int i = 0; i <= n; i++) if ((v[n] - v[i]) * v[i] + dp[i][k&1] == ans) { while (k) { cout << i << ' '; i = p[i][k--]; } } return 0; }
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