제출 #669817

#제출 시각아이디문제언어결과실행 시간메모리
669817Dan4Life수열 (APIO14_sequence)C++17
100 / 100
824 ms82656 KiB
#include <bits/stdc++.h> using namespace std; #define pb push_back #define all(a) a.begin(),a.end() #define mp make_pair #define fi first #define se second #define sz(a) (int)a.size() using ll = long long; const int maxn = (int)1e5+10; const ll INF = (ll)2e18; ll n, K, a[maxn], s[maxn]; ll dp[2][maxn]; int p[205][maxn]; vector<int> v; void recur(int i, int k){ if(k) v.pb(i), recur(p[k][i],k-1); } double slope(int i, int j, int k){ if(s[j]==s[i]) return INF; return (double)((dp[k][j]-s[n]*s[j])-(dp[k][i]-s[n]*s[i]))/(s[j]-s[i]); } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n >> K; int ind = 0; for(int i = 0; i < n; i++) cin >> a[i], s[i+1]=s[i]+a[i]; for(int k = 1; k <= K+1; k++){ deque<int> DQ; DQ.clear(); DQ.push_back(0); ind = k%2; for(int i = 1; i <= n; i++){ while(sz(DQ)>1 and slope(DQ[0],DQ[1],!ind)>= -s[i]) DQ.pop_front(); int j = DQ[0]; dp[ind][i]=dp[!ind][j]+(s[i]-s[j])*(s[n]-s[i]), p[k][i]=j; while(sz(DQ)>1 and slope(DQ[sz(DQ)-2], DQ.back(),!ind) <= slope(DQ.back(),i,!ind)) DQ.pop_back(); DQ.push_back(i); } memcpy(dp[!ind],dp[ind],sizeof(dp[ind])); } cout << dp[ind][n] << "\n"; recur(n,K+1); sort(all(v)); v.pop_back(); for(auto u : v) cout << u << " "; }
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