Submission #639256

#TimeUsernameProblemLanguageResultExecution timeMemory
639256ntttSplit the sequence (APIO14_sequence)C++14
100 / 100
1051 ms81504 KiB
#include<bits/stdc++.h> using namespace std; #define MASK(i) (1LL << (i)) #define BIT(x, i) (((x) >> (i)) & 1) #define fi first #define se second #define ll long long #define mp make_pair #define pb push_back #define pii pair<int, int> #define all(x) (x).begin(), (x).end() #define task "name" const int oo = 1e9 + 7; const ll loo = (ll)1e18 + 7; const int MOD = 1e9 + 7; const int N = 1e5 + 2; const int BASE = 10; const int LOG = 20; template <typename T1, typename T2> bool minimize(T1 &a, T2 b){if (a > b) {a = b; return true;} return false;} template <typename T1, typename T2> bool maximize(T1 &a, T2 b){if (a < b) {a = b; return true;} return false;} int n, k; ll pre[N]; ll f[2][N]; int trace[202][N]; void dnc(int g, int l, int r, int from, int to) { if(l > r) return; int mid = (l + r)/2; pair<long long, int> best(-oo, 0); int last = (1 ^ (g & 1)); int cur = last ^ 1; for(int i = from; i <= min(to, mid); i++) { maximize(best, mp(f[last][i - 1] + (pre[mid] - pre[i - 1]) * (pre[n] - pre[mid]), i)); } f[cur][mid] = best.fi; trace[g][mid] = best.se - 1; dnc(g, l, mid - 1, from, best.se); dnc(g, mid + 1, r, best.se, to); } void Solve() { cin >> n >> k; for(int i = 1; i <= n; i++) { ll a; cin >> a; pre[i] = pre[i - 1] + a; } for(int i = 1; i <= n; i++) f[1][i] = pre[i] * (pre[n] - pre[i]); for(int i = 2; i <= k + 1; i++) dnc(i, i, n, 1, n); cout << f[(k & 1) ^ 1][n] << '\n'; vector<int> ans; int t = trace[k + 1][n]; ans.pb(t); for(int i = k; i >= 2; i--) { t = trace[i][t]; if (t == 0) { break; } ans.pb(t); } reverse(all(ans)); for(int i : ans) cout << i << " "; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int T = 1; //cin >> T; while(T--) { Solve(); } return 0; }
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