Submission #41684

#TimeUsernameProblemLanguageResultExecution timeMemory
41684DiuvenSplit the sequence (APIO14_sequence)C++11
71 / 100
2040 ms81260 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; const int MX=100010; const ll inf=4e18; int S[MX], n, k, P[MX][201]; ll D[MX][2]; ll sq(ll x){ return x*x; } void solve(int s, int e, int l, int r, int t){ if(e<s) return; int m=(s+e)/2, &pos=P[m][t]; ll &d=D[m][t&1]; d=inf, pos=s; for(int i=l; i<=r && i<m; i++){ ll now=D[i][1-(t&1)]+sq(S[m]-S[i]); if(d>now) d=now, pos=i; } solve(s,m-1,l,pos,t); solve(m+1,e,pos,r,t); } int main(){ ios::sync_with_stdio(0); cin.tie(0); cin>>n>>k; for(int i=1, a; i<=n; i++) cin>>a, S[i]=S[i-1]+a, D[i][0]=sq(S[i]); for(int i=1; i<=k; i++) solve(1,n,1,n,i); cout<<(sq(S[n])-D[n][k&1])/2<<'\n'; stack<int> stk; for(int i=k, pos=n; i>=1; i--){ pos=P[pos][i]; stk.push(pos); } while(!stk.empty()) cout<<stk.top()<<' ', stk.pop(); return 0; }
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