Submission #7084

# Submission time Handle Problem Language Result Execution time Memory
7084 2014-07-22T04:44:08 Z baneling100 Split the sequence (APIO14_sequence) C++
100 / 100
576 ms 82728 KB
#include <stdio.h>

int N, K, Path[202][100002], S[100002], Top, Ans[202];
long long A[100002], D[2][100002];

void input(void)
{
    int i;

    scanf("%d %d",&N,&K);
    for(i=1 ; i<=N ; i++)
    {
        scanf("%lld",&A[i]);
        A[i]+=A[i-1];
    }
}

void process(void)
{
    int i, j, k, x, now;
    long long a, b, c, d, e, f;

    for(j=1 ; j<=K ; j++)
    {
        x=j%2;
        Top=0;
        now=1;
        for(k=j ; k<=N ; k++)
        {
            if(Top<2)
                S[++Top]=k;
            else
            {
                a=A[S[Top-1]];
                b=D[1-x][S[Top-1]]-A[S[Top-1]]*A[S[Top-1]];
                c=A[S[Top]];
                d=D[1-x][S[Top]]-A[S[Top]]*A[S[Top]];
                e=A[k];
                f=D[1-x][k]-A[k]*A[k];
                while(Top>=2 && (d-b)*(e-a)<=(c-a)*(f-b))
                {
                    Top--;
                    a=A[S[Top-1]];
                    b=D[1-x][S[Top-1]]-A[S[Top-1]]*A[S[Top-1]];
                    c=A[S[Top]];
                    d=D[1-x][S[Top]]-A[S[Top]]*A[S[Top]];
                }
                S[++Top]=k;
            }
            a=A[S[now]]*A[k+1]+D[1-x][S[now]]-A[S[now]]*A[S[now]];
            b=A[S[now+1]]*A[k+1]+D[1-x][S[now+1]]-A[S[now+1]]*A[S[now+1]];
            while(now<k && a<b)
            {
                now++;
                a=A[S[now]]*A[k+1]+D[1-x][S[now]]-A[S[now]]*A[S[now]];
                b=A[S[now+1]]*A[k+1]+D[1-x][S[now+1]]-A[S[now+1]]*A[S[now+1]];
            }
            D[x][k+1]=a;
            Path[j][k+1]=S[now];
        }
    }
    a=N;
    for(i=K ; i>=1 ; i--)
    {
        Ans[i]=Path[i][a];
        a=Path[i][a];
    }
}

void output(void)
{
    int i;

    printf("%lld\n",D[K%2][N]);
    for(i=1 ; i<=K ; i++)
        printf("%d ",Ans[i]);

}

int main(void)
{
    input();
    process();
    output();

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 108 == 108
2 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 999 == 999
3 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 0 == 0
4 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 1 == 1
7 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 1 == 1
8 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 1 == 1
9 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 805 == 805
16 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 82728 KB Output is correct - contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 4 ms 82728 KB Output is correct - contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 82728 KB Output is correct - contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 4 ms 82728 KB Output is correct - contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 82728 KB Output is correct - contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 36 ms 82728 KB Output is correct - contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 0 ms 82728 KB Output is correct - contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 36 ms 82728 KB Output is correct - contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 32 ms 82728 KB Output is correct - contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 36 ms 82728 KB Output is correct - contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 24 ms 82728 KB Output is correct - contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 32 ms 82728 KB Output is correct - contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 44 ms 82728 KB Output is correct - contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 8 ms 82728 KB Output is correct - contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 16 ms 82728 KB Output is correct - contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 360 ms 82728 KB Output is correct - contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 24 ms 82728 KB Output is correct - contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 576 ms 82728 KB Output is correct - contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 352 ms 82728 KB Output is correct - contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 404 ms 82728 KB Output is correct - contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 280 ms 82728 KB Output is correct - contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 296 ms 82728 KB Output is correct - contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 372 ms 82728 KB Output is correct - contestant found the optimal answer: 124309619349406845 == 124309619349406845