Submission #6914

# Submission time Handle Problem Language Result Execution time Memory
6914 2014-07-10T12:33:08 Z dohyun0324 Split the sequence (APIO14_sequence) C++
100 / 100
564 ms 88988 KB
#include<stdio.h>
int n,k,top,p,path[210][100010],w,dap[100010];
long long int a[100010],s[100010],d[2][100010];
struct data
{
    long long int m,n,pos;
}st[100010];
int main()
{
    long long int i,j,r,m1,m2,n1,n2,m3,n3;
    scanf("%d %d",&n,&k);
    for(i=1;i<=n;i++)
    {
        scanf("%lld",&a[i]);
        s[i]=s[i-1]+a[i];
    }
    for(i=2;i<=k+1;i++)
    {
        top=1, p=1;
        st[1].m=s[i-1]; st[1].n=-s[i-1]*s[i-1]+d[(i+1)%2][i-1]; st[1].pos=i-1;
        for(j=i;j<=n;j++)
        {
            m2=s[j]; n2=-s[j]*s[j]+d[(i+1)%2][j];
            if(p>top) p=top;
            for(r=p;r<=top-1;r++)
            {
                m1=st[r+1].m; n1=st[r+1].n; m3=st[r].m; n3=st[r].n;
                if(n3-n1>=(m1-m3)*s[j]) break;
            }
            p=r;
            d[i%2][j]=st[p].m*s[j]+st[p].n; path[i][j]=st[p].pos;
            for(r=top;r>=1;r--)
            {
                if(r==1) break;
                m1=st[r].m; n1=st[r].n; m3=st[r-1].m; n3=st[r-1].n;
                if((n1-n2)*(m1-m3)>(m2-m1)*(n3-n1)) break;
            }
            top=r;
            top++; st[top].m=m2; st[top].n=n2; st[top].pos=j;
        }
    }
    printf("%lld\n",d[(k+1)%2][n]);
    p=n;
    for(i=k+1;i>=1;i--)
    {
        dap[++w]=p;
        p=path[i][p];
    }
    for(i=w;i>=2;i--) printf("%d ",dap[i]);
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 108 == 108
2 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 999 == 999
3 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 0 == 0
4 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 1 == 1
7 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 1 == 1
8 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 1 == 1
9 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 805 == 805
16 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 88988 KB Output is correct - contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 88988 KB Output is correct - contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 4 ms 88988 KB Output is correct - contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 88988 KB Output is correct - contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 28 ms 88988 KB Output is correct - contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 0 ms 88988 KB Output is correct - contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 24 ms 88988 KB Output is correct - contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 20 ms 88988 KB Output is correct - contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 40 ms 88988 KB Output is correct - contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 24 ms 88988 KB Output is correct - contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 32 ms 88988 KB Output is correct - contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 36 ms 88988 KB Output is correct - contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 20 ms 88988 KB Output is correct - contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 16 ms 88988 KB Output is correct - contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 320 ms 88988 KB Output is correct - contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 12 ms 88988 KB Output is correct - contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 564 ms 88988 KB Output is correct - contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 316 ms 88988 KB Output is correct - contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 384 ms 88988 KB Output is correct - contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 256 ms 88988 KB Output is correct - contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 272 ms 88988 KB Output is correct - contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 316 ms 88988 KB Output is correct - contestant found the optimal answer: 124309619349406845 == 124309619349406845