Submission #7646

#	Time	Username	Problem	Language	Result	Execution time	Memory
7646		myungwoo	Split the sequence (APIO14_sequence)	C++98	0 / 100	0 ms	83512 KiB

sequence

#include <stdio.h>

#define MAXN 100005
#define MAXK 202
typedef long long lld;

int N,K,A[MAXN],S[MAXN],P[MAXN][MAXK];
int stk[MAXN],scnt;
lld D[MAXN],E[MAXN],F[MAXN];

bool check(int a,int b,int c)
{
	return (F[a]-F[b])*(S[b]-S[c]) <= (F[b]-F[c])*(S[a]-S[b]);
}

int main()
{
	int i,j,k;
	scanf("%d%d",&N,&K); ++K;
	for (i=1;i<=N;i++) scanf("%d",A+i), S[i] = S[i-1]+A[i];
	stk[++scnt] = 0;
	for (j=1;j<=K;j++){
		int p = 1;
		for (i=j;i<=N;i++){
			while (p < scnt && stk[p+1] < i && F[stk[p]]+S[stk[p]]*S[i] <= F[stk[p+1]]+S[stk[p+1]]*S[i]) p++;
			int t = stk[p];
			D[i] = E[t]+(lld)(S[i]-S[t])*S[t]; P[i][j] = t;
		}
		for (i=j;i<=N;i++) F[i] = D[i]-S[i]*S[i];
		scnt = 0; stk[++scnt] = j;
		for (i=j+1;i<=N;i++) if (S[i]){
			while (scnt > 1 && check(stk[scnt-1],stk[scnt],i)) scnt--;
			stk[++scnt] = i;
		}
		for (i=1;i<=N;i++) E[i] = D[i];
	}
	printf("%lld\n",D[N]);
	for (i=N,j=K;j;){
		if (i < N) printf("%d ",i);
		i = P[i][j--];
	} puts("");
}

• Subtask 1: 0 / 11
• Subtask 2: 0 / 11
• Subtask 3: 0 / 11
• Subtask 4: 0 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29