Submission #653257

# Submission time Handle Problem Language Result Execution time Memory
653257 2022-10-26T10:27:11 Z HuyQuang_re_Zero Split the sequence (APIO14_sequence) C++14
71 / 100
44 ms 33048 KB
#include <bits/stdc++.h>
#define db long long
#define N 10002
using namespace std;
struct pt { db A,B; int vt; };
struct ps { long long tu,mau; };
ps giao(pt x,pt y)
{
    long long tu=y.B-x.B,mau=x.A-y.A;
 //   if(tu==0 && mau==0) cerr<<1<<'\n';
    if(mau<0) { tu=-tu; mau=-mau; }
    return { tu,mau };
}
bool operator < (ps a,ps b)
{
    if(a.tu<0)
    {

        if(b.tu>=0) return 1;
        a.tu=-a.tu; b.tu=-b.tu;
        //return ;
        swap(a,b);
    }
    if(b.tu<0)
    {
        if(a.tu>=0) return 0;
        a.tu=-a.tu; b.tu=-b.tu;
        swap(a,b);
       // return b<a;
    }
    return a.tu*b.mau<a.mau*b.tu;
}
pt st[N];
long long g[N],f[N][202];
int i,j,n,sl,top,k,tr[N][202],d[N];
int main()
{
 //   freopen("ntu.inp","r",stdin);
  //  freopen("ntu.out","w",stdout);
    cin>>n>>k; k++;
    memset(f,-1,sizeof(f));
    f[0][0]=0;
    for(i=1;i<=n;i++) { cin>>g[i]; g[i]+=g[i-1]; }
    for(sl=1;sl<=k;sl++)
    {
        top=0; j=1;
      //  int ch=sl%2;
        for(i=0;i<=n;i++)
        {
            if(top>0)
            {
                j=min(j,top);
                while(j<top && st[j].A*g[i]+st[j].B<=st[j+1].A*g[i]+st[j+1].B) j++;
                f[i][sl]=st[j].A*g[i]+st[j].B;
                tr[i][sl]=st[j].vt;
                //if(sl==2 && i==n) cerr<<top<<" "<<st[j].vt<<'\n';
            }
            if(f[i][sl-1]>-1)
            {
                db A=g[i],B=f[i][sl-1]-g[i]*g[i];
                while(top>0 && A==st[top].A) top--;
                while(top>=2 && giao({ A,B,i },st[top-1])<giao(st[top],st[top-1])) top--;
                st[++top]={ A,B,i };
            }
           // cerr<<i<<" "<<sl-1<<" "<<top<<'\n';
         //  cerr<<f[i][sl]<<" "<<top<<" "<<i<<" "<<sl<<'\n';*/
        // for(j=0;j<i;j++)
          //  if(f[j][sl-1]>-1) f[i][sl]=max(f[i][sl],f[j][sl-1]+(g[i]-g[j])*g[j]);*/
        }
    }
    cout<<f[n][k]<<'\n';
    i=n;
    while(k>0)
    {
        d[i]=1;
        i=tr[i][k]; k--;
    }
    for(i=1;i<n;i++)
        if(d[i]==1) cout<<i<<" ";
    cout<<'\n';
}
# Verdict Execution time Memory Grader output
1 Correct 8 ms 16084 KB contestant found the optimal answer: 108 == 108
2 Correct 8 ms 16064 KB contestant found the optimal answer: 999 == 999
3 Correct 7 ms 16048 KB contestant found the optimal answer: 0 == 0
4 Correct 7 ms 16084 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 8 ms 16084 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 7 ms 16124 KB contestant found the optimal answer: 1 == 1
7 Correct 7 ms 16084 KB contestant found the optimal answer: 1 == 1
8 Correct 7 ms 16084 KB contestant found the optimal answer: 1 == 1
9 Correct 7 ms 16048 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 7 ms 16052 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 7 ms 16084 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 6 ms 16084 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 7 ms 16084 KB contestant found the optimal answer: 140072 == 140072
14 Correct 7 ms 16084 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 7 ms 16144 KB contestant found the optimal answer: 805 == 805
16 Correct 7 ms 16084 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 8 ms 16084 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 7 ms 16084 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 7 ms 16084 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 7 ms 16084 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 7 ms 16084 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 7 ms 16084 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 7 ms 16084 KB contestant found the optimal answer: 933702 == 933702
7 Correct 8 ms 16084 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 8 ms 16084 KB contestant found the optimal answer: 687136 == 687136
9 Correct 7 ms 16084 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 8 ms 16084 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 7 ms 16292 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 7 ms 16212 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 7 ms 16308 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 7 ms 16212 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 8 ms 16212 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 9 ms 16212 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 10 ms 16232 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 8 ms 16212 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 7 ms 16212 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 8 ms 16212 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 7 ms 16852 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 7 ms 16952 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 16852 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 7 ms 16852 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 14 ms 16852 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 11 ms 16948 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 16852 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 16852 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 11 ms 16852 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 9 ms 16852 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 11 ms 24208 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 12 ms 24224 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 40 ms 24396 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 13 ms 24296 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 38 ms 24304 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 44 ms 24288 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 42 ms 24472 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 33 ms 24292 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 35 ms 24348 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 41 ms 24332 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Runtime error 31 ms 33048 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -