Submission #8145

# Submission time Handle Problem Language Result Execution time Memory
8145 2014-08-31T14:27:09 Z gs13031 Split the sequence (APIO14_sequence) C++
100 / 100
1904 ms 85860 KB
#include<stdio.h>
int n, k, a[100010], sl[100010][210], j;
long long d[100010], dd[100010], s[100010];
void get_l(int st, int ed, int left, int right)
{
    int i, q, p;
    long long m=9e18, x;
    if(left>right) return;
    p=(left+right)/2;
    if(st==ed)
    {
        for(i=left; i<=right; ++i) sl[i][j]=st;
        return;
    }
    for(i=st; i<=ed; ++i)
    {
        x=d[i]+(s[p]-s[i])*(s[p]-s[i]);
        if(m>x){ m=x; q=i; }
    }
    sl[p][j]=q;
    get_l(st, q, left, p-1);
    get_l(q, ed, p+1, right);
    return;
}
void back(int x, int dep)
{
    if(dep>1)
    {
        back(sl[x][dep], dep-1);
        printf("%d ", sl[x][dep]);
    }
    return;
}
int main()
{
    int i, l;
    scanf("%d%d", &n, &k);
    for(i=1; i<=n; ++i) scanf("%d", &a[i]);
    for(i=1; i<=n; ++i) s[i]=s[i-1]+a[i];
    for(i=1; i<=n; ++i) d[i]=s[i]*s[i];
    for(j=2; j<=k+1; ++j)
    {
        //l을 찾는다
        get_l(j-1, n-(k+1-j), j, n);
        for(i=j; i<=n; ++i)
        {
            l=sl[i][j];
            dd[i]=d[l]+(s[i]-s[l])*(s[i]-s[l]);
        }
        for(i=j; i<=n; ++i) d[i]=dd[i];
    }
    printf("%lld\n", (s[n]*s[n]-d[n])/2);
    back(n, k+1);
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 108 == 108
2 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 999 == 999
3 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 0 == 0
4 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 1 == 1
7 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 1 == 1
8 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 1 == 1
9 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 805 == 805
16 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 85860 KB Output is correct - contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 85860 KB Output is correct - contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 85860 KB Output is correct - contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 85860 KB Output is correct - contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 85860 KB Output is correct - contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 8 ms 85860 KB Output is correct - contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 85860 KB Output is correct - contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 96 ms 85860 KB Output is correct - contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 85860 KB Output is correct - contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 92 ms 85860 KB Output is correct - contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 92 ms 85860 KB Output is correct - contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 92 ms 85860 KB Output is correct - contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 64 ms 85860 KB Output is correct - contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 84 ms 85860 KB Output is correct - contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 112 ms 85860 KB Output is correct - contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 48 ms 85860 KB Output is correct - contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 40 ms 85860 KB Output is correct - contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1188 ms 85860 KB Output is correct - contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 36 ms 85860 KB Output is correct - contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1904 ms 85860 KB Output is correct - contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1140 ms 85860 KB Output is correct - contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1068 ms 85860 KB Output is correct - contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 788 ms 85860 KB Output is correct - contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1044 ms 85860 KB Output is correct - contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1336 ms 85860 KB Output is correct - contestant found the optimal answer: 124309619349406845 == 124309619349406845