제출 #8140

#제출 시각아이디문제언어결과실행 시간메모리
8140gs13031수열 (APIO14_sequence)C++98
0 / 100
0 ms131072 KiB
#include<stdio.h>
int n, k, d[100010][210], a[100010], s[100010], sl[100010][210], j;
void get_l(int st, int ed, int left, int right)
{
    int i, m=2147483647, x, q, p;
    if(left>right) return;
    p=(left+right)/2;
    if(st==ed)
    {
        for(i=left; i<=p; ++i) sl[i][j]=st;
        return;
    }
    for(i=st; i<=ed; ++i)
    {
        x=d[i][j-1]+(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]+1);
    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][1]=s[i]*s[i];
    for(j=2; j<=k+1; ++j)
    {
        //l을 찾는다
        get_l(j-1, n, j, n);
        for(i=j; i<=n; ++i)
        {
            l=sl[i][j];
            d[i][j]=d[l][j-1]+(s[i]-s[l])*(s[i]-s[l]);
        }
    }
    printf("%d\n", (s[n]*s[n]-d[n][k+1])/2);
    back(n, k);
}
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