제출 #13778

#제출 시각아이디문제언어결과실행 시간메모리
13778comet수열 (APIO14_sequence)C++98
100 / 100
1161 ms85484 KiB
#include<cstdio> #include<algorithm> #include<deque> using namespace std; typedef long long ll; typedef pair<ll,int> pp; ll d[2][100010],s[100010],N,K; int r[201][100001]; void f(int x,int y){ if(x==1)return; f(x-1,r[x][y]); printf("%d ",(int)r[x][y]); } struct convex{ deque<ll> a,b; deque<int>c; void init(){a.clear();b.clear();c.clear();} void push(ll n,ll m,int v){ while(a.size()>1&&(b[b.size()-2]-b.back())*(n-a.back())>=(b.back()-m)*(a.back()-a[a.size()-2])){ a.pop_back(); b.pop_back(); c.pop_back(); } a.push_back(n); b.push_back(m); c.push_back(v); } pp query(ll x){ while(!a.empty()&&(a[1]-a[0])*x>(b[0]-b[1])){ a.pop_front(); b.pop_front(); c.pop_front(); } return pp(a[0]*x+b[0],c[0]); } }; int main(){ scanf("%lld%lld",&N,&K); if(K==0)K++; for(int i=1;i<=N;i++){ scanf("%lld",&s[i]); s[i]+=s[i-1]; } convex* pre=new convex; convex* cur=new convex; pp ret; for(int i=1;i<=N;i++){ d[1][i]=s[i]*(s[N]-s[i]); pre->push(s[i],d[1][i]-s[i]*s[N],i); } for(int g=2;g<=K+1;g++){ for(int i=g;i<=N;i++){ ret=pre->query(s[i]); d[g&1][i]=ret.first+(s[N]-s[i])*s[i]; r[g][i]=ret.second; cur->push(s[i],d[g&1][i]-s[i]*s[N],i); } pre->init(); swap(cur,pre); } printf("%lld\n",d[(K+1)&1][N]); f(K+1,N); delete cur,pre; }
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