比赛 |
20120709 |
评测结果 |
AAAAAAAAAA |
题目名称 |
磁性链 |
最终得分 |
100 |
用户昵称 |
ZhouHang |
运行时间 |
0.004 s |
代码语言 |
C++ |
内存使用 |
0.60 MiB |
提交时间 |
2012-07-09 10:34:30 |
显示代码纯文本
/**
*Prob : linka
*Data : 2012-7-9
*Sol : dp+四边形不等式
*/
#include <cstring>
#include <cstdio>
#include <cmath>
#include <algorithm>
#define MaxN 1100
#define MaxQ 200
using namespace std;
int n,q;
int a[MaxN],s[MaxN];
int f[MaxQ][MaxQ];
int g[MaxQ][MaxQ];
int main()
{
freopen("linka.in","r",stdin);
freopen("linka.out","w",stdout);
scanf("%d%d",&n,&q);
for (int i=1; i<=q; i++)
scanf("%d",&a[i]);
sort(a+1,a+1+q);
a[0] = 0;
for (int i=1; i<=q; i++)
s[i] = a[i] - a[i-1] -1;
s[q+1] = n-a[q];
for (int i=1; i<=q+1; i++)
s[i] += s[i-1];
memset(f,127,sizeof(f));
for (int i=1; i<=q+1; i++) {
g[i][i] = i;
f[i][i] = 0;
}
for (int i=q+1; i>=1; i--)
for (int j=i+1; j<=q+1; j++)
for (int k=g[i][j-1]; k<=g[i+1][j]; k++)
{
int tmp = f[i][k]+f[k+1][j]+(s[j]-s[i-1])+(j-i-1);
if (tmp<f[i][j]) {
g[i][j] = k;
f[i][j] = tmp;
}
}
printf("%d",f[1][q+1]);
fclose(stdin); fclose(stdout);
return 0;
}