#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
//template
#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(v) (v).begin(),(v).end()
typedef long long int ll;
const int inf = 0x3fffffff; const ll INF = 0x1fffffffffffffff; const double eps=1e-12;
template<typename T>inline bool chmax(T& a,T b){if(a<b){a=b;return 1;}return 0;}
template<typename T>inline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;}
//end
struct CHT{
int n; vector<ll> xs,p,q,ids; vector<bool> used;
CHT(vector<ll> ps){
n=1; while(n<ps.size())n<<=1;
used.assign(4*n,0); xs.resize(4*n,inf);
p.resize(4*n); q.resize(4*n); ids.resize(4*n);
rep(i,0,ps.size())xs[i]=ps[i];
}
void add(ll a,ll b,ll idx,int k=0,int l=0,int r=-1){
if(r==-1)r=n;
while(r-l>0){
int m=(l+r)/2;
if(!used[k]){
p[k]=a; q[k]=b; ids[k]=idx; used[k]=1;
return;
}
ll lx=xs[l],mx=xs[m],rx=xs[r-1];
ll pk=p[k],qk=q[k];
bool lb=(a*lx+b<pk*lx+qk);
bool mid=(a*mx+b<pk*mx+qk);
bool rb=(a*rx+b<pk*rx+qk);
if(lb&&rb){p[k]=a; q[k]=b; ids[k]=idx; return;}
if(!lb&&!rb)return;
if(mid){swap(p[k],a); swap(q[k],b); swap(ids[k],idx);}
if(lb!=mid){k=2*k+1; r=m;} else{k=2*k+2; l=m;}
}
}
/*
void add_segment(ll a,ll b,int l,int r){
ll l0=l+n,r0=r+n,s0=l,t0=r,sz=1;
while(l0<r0){
if(r0&1){r0--; t0-=sz; add(a,b,r0-1,t0,t0+sz);}
if(l0&1){add(a,b,l0-1,s0,s0+sz); l0++; s0+=sz;}
l0>>=1; r0>>=1; sz<<=1;
}
}
*/
pair<ll,ll> query(int i){
int k=i+n-1,id=ids[k];
ll x=xs[i],s=used[k]?p[k]*x+q[k]:INF;
while(k){
k=(k-1)/2;
if(used[k] and chmin(s,p[k]*x+q[k]))id=ids[k];
} return {s,id};
}
};
ll dp[210][101010]={},pre[210][101010];
int main(){
int n,k; cin>>n>>k;
vector<ll> a(n),rui(n+1);
rep(i,0,n){
cin>>a[i]; rui[i+1]=a[i];
}
rep(i,0,n)rui[i+1]+=rui[i];
rep(i,0,k+1)rep(j,0,n+1)dp[i][j]=-INF;
dp[0][0]=0;
/*
rep(i,1,k+1)rep(j,1,n)rep(i2,0,j)if(dp[i-1][i2]>=0){
ll add=(rui[j]-rui[i2])*(rui[n]-rui[j]);
if(chmax(dp[i][j],dp[i-1][i2]+add))pre[i][j]=i2;
}
*/
unordered_map<ll,int> rev;
rep(i,1,k+1){
vector<ll> v;
rep(j,1,n)v.push_back(rui[n]-rui[j]);
sort(ALL(v)); v.erase(unique(ALL(v)),v.end());
rev.clear();
rep(j,0,v.size())rev[v[j]]=j;
CHT cht(v);
rep(j,1,n){
if(dp[i-1][j-1]>=0)cht.add(rui[j-1],-dp[i-1][j-1],j-1);
auto [y,x]=cht.query(rev[rui[n]-rui[j]]);
if(y==INF)continue;
if(chmax(dp[i][j],-y+rui[j]*(rui[n]-rui[j])))pre[i][j]=x;
}
}
ll res=-INF; int pos=-1;
rep(i,0,n)if(chmax(res,dp[k][i]))pos=i;
cout<<res<<endl;
int cur=k; vector<int> ps;
while(cur){
ps.push_back(pos);
pos=pre[cur][pos]; cur--;
}
reverse(ALL(ps));
rep(i,0,k)cout<<ps[i]<<endl;
return 0;
}
Compilation message
sequence.cpp: In constructor 'CHT::CHT(std::vector<long long int>)':
sequence.cpp:17:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
17 | n=1; while(n<ps.size())n<<=1;
| ~^~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 108 == 108 |
2 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 999 == 999 |
3 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 0 == 0 |
4 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 1542524 == 1542524 |
5 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
6 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 1 == 1 |
7 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 1 == 1 |
8 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 1 == 1 |
9 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 100400096 == 100400096 |
10 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 900320000 == 900320000 |
11 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
12 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
13 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 140072 == 140072 |
14 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 376041456 == 376041456 |
15 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 805 == 805 |
16 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 900189994 == 900189994 |
17 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 999919994 == 999919994 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 1093956 == 1093956 |
2 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 302460000 == 302460000 |
3 |
Correct |
1 ms |
896 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
4 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
5 |
Correct |
1 ms |
512 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
6 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 933702 == 933702 |
7 |
Correct |
1 ms |
640 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
8 |
Correct |
1 ms |
512 KB |
contestant found the optimal answer: 687136 == 687136 |
9 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
10 |
Correct |
1 ms |
512 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 610590000 == 610590000 |
2 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 311760000 == 311760000 |
3 |
Correct |
10 ms |
3072 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
4 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
5 |
Correct |
6 ms |
2304 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
6 |
Correct |
7 ms |
2816 KB |
contestant found the optimal answer: 107630884 == 107630884 |
7 |
Correct |
9 ms |
3072 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
8 |
Correct |
3 ms |
1024 KB |
contestant found the optimal answer: 193556962 == 193556962 |
9 |
Correct |
2 ms |
768 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
10 |
Correct |
3 ms |
1152 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
636 KB |
contestant found the optimal answer: 21503404 == 21503404 |
2 |
Correct |
2 ms |
636 KB |
contestant found the optimal answer: 140412195 == 140412195 |
3 |
Correct |
53 ms |
5720 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
4 |
Correct |
2 ms |
640 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
5 |
Correct |
46 ms |
5732 KB |
contestant found the optimal answer: 679388326 == 679388326 |
6 |
Correct |
40 ms |
5040 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
7 |
Correct |
56 ms |
5840 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
8 |
Correct |
51 ms |
5728 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
9 |
Correct |
11 ms |
1624 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
10 |
Correct |
24 ms |
2712 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
2644 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
2 |
Correct |
9 ms |
2720 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
3 |
Correct |
836 ms |
36576 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
4 |
Correct |
16 ms |
3744 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
5 |
Correct |
341 ms |
22288 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
6 |
Correct |
420 ms |
25772 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
7 |
Correct |
686 ms |
28372 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
8 |
Correct |
627 ms |
23608 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
9 |
Correct |
617 ms |
26624 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
10 |
Correct |
739 ms |
33188 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
148 ms |
29108 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
2 |
Correct |
144 ms |
29152 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
3 |
Runtime error |
127 ms |
131076 KB |
Execution killed with signal 9 |
4 |
Halted |
0 ms |
0 KB |
- |