Submission #98011

# Submission time Handle Problem Language Result Execution time Memory
98011 2019-02-19T18:18:31 Z Bodo171 Split the sequence (APIO14_sequence) C++14
100 / 100
1188 ms 84348 KB
#include <iostream>
#include <fstream>
#include <algorithm>
using namespace std;
const int nmax=100005;
struct dreapta
{
    long long a,b;
    int wh;
}st[nmax];
long long dp[2][nmax];
int prc[205][nmax];
long long mx;
long long a[nmax],sum[nmax];
long double a1,a2,b1,b2;
int ans[nmax];
int p;
long double intersect(dreapta unu,dreapta doi)
{
    a1=unu.a;b1=unu.b;a2=doi.a;b2=doi.b;
    return (b1-b2)/(a2-a1);
}
int u,i,j,cnt,ult,n,k,use,poz_opt;
void ins(long long A,long long B,int prc)
{
    dreapta x={A,B,prc};
    if(p<=u&&st[u].a==A&&st[u].b>=B)
        return;
    while(p<=u&&st[u].a==A&&st[u].b<=B)
        u--;
    while(p<u&&intersect(st[u],st[u-1])>intersect(st[u-1],x))
        u--;
    st[++u]=x;
}
long long get_opt(long long x)
{
    long double pct=x;
    while(p<u&&intersect(st[p],st[p+1])<pct)
        p++;
    ult=st[p].wh;
    return (1LL*st[p].a*x+1LL*st[p].b);
}
void solve(bool rev)
{
    bool updatat=0;
    for(i=1;i<=n;i++)
        sum[i]=sum[i-1]+a[i];
    for(cnt=1;cnt<=k;cnt++)
    {
        u=0;p=1;use=1-use;
        for(i=cnt;i<n;i++)
        {
            ins(sum[i-1],dp[1-use][i-1],i-1);
            dp[use][i]=1LL*get_opt(sum[i]-sum[n])+1LL*sum[i]*sum[n]-1LL*sum[i]*sum[i];
            prc[cnt][i]=ult;
            if(cnt==k&&dp[use][i]>mx)
                mx=1LL*dp[use][i],poz_opt=i;
        }
    }
    for(int i=1;i<=k;i++)
    {
        ans[k-i+1]=poz_opt;
        poz_opt=prc[k-i+1][poz_opt];
    }
}
int main()
{
    //freopen("data.in","r",stdin);
    ios_base::sync_with_stdio(false);
    mx=-1;
    cin>>n>>k;
    for(i=1;i<=n;i++)
        cin>>a[i];
    solve(0);
    cout<<mx<<'\n';
    for(i=1;i<=k;i++)
        cout<<ans[i]<<' ';
    return 0;
}

Compilation message

sequence.cpp: In function 'void solve(bool)':
sequence.cpp:45:10: warning: unused variable 'updatat' [-Wunused-variable]
     bool updatat=0;
          ^~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 380 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 512 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 3 ms 512 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 3 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 3 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 512 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 3 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 3 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 3 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 3 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 3 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 3 ms 512 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 3 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 4 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 4 ms 1280 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 4 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 768 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 512 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 512 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 2048 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 6 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 1024 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 1024 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 106 ms 9564 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 1152 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 64 ms 6136 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 66 ms 7032 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 84 ms 7504 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 72 ms 6392 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 65 ms 7032 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 83 ms 8736 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 31 ms 6552 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 26 ms 6520 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1022 ms 84348 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 41 ms 7032 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1188 ms 83844 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 730 ms 60596 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 845 ms 64972 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 629 ms 54032 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 604 ms 60792 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 822 ms 76380 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845