Description

There are $M$ network interfaces in the wall of aisle of library. And $N$ computers next to the wall need to be connected to the network. A network interface can only connect with one computer at most. To connect an interface with coordinate $x$ with a computer with coordinate $y$ needs $|x - y|$ unit of length of network cable. Your task is to minimize the total length of network cables to be used.

Input

The first line contains two integers $M (1 ≤ M ≤ 100000), N (1 ≤ N ≤ 2000, N ≤ M)$. The following $M + N$ lines each contains a integer coordinate. The first $M$ coordinates are corresponding to the network interfaces, and the next $N$ ones corresponding to the computers. All coordinates are arranged in $[0, 1000000]$. Distinct interfaces may have the same coordinate, so do the computers.

Output

Print an integer, representing minimum length of network cables to be used.

4 2
1
10
12
20
11
15

Sample Output

4

#include<iostream>
#include<algorithm>
#include<cstdio>
#include<cstdlib>
using namespace std;

typedef long long ll;
const int maxn = 2010,maxm = 100010;
const ll inf = 1LL<<60;
ll f[2][maxm],ans = inf; int N,M,A[maxm],B[maxn];

inline int gi()
{
char ch; int ret = 0,f = 1;
do ch = getchar(); while (!(ch >= '0'&&ch <= '9')&&ch != '-');
if (ch == '-') f = -1,ch = getchar();
do ret = ret*10+ch-'0',ch = getchar(); while (ch >= '0'&&ch <= '9');
return ret*f;
}

int main()
{
freopen("3375.in","r",stdin);
freopen("3375.out","w",stdout);
M = gi(); N = gi();
for (int i = 1;i <= M;++i) A[i] = gi();
for (int i = 1;i <= N;++i) B[i] = gi();
sort(A+1,A+M+1); sort(B+1,B+N+1);
for (int i = 0;i <= M;++i) f[1][i] = inf;
for (int i = 1,now = 1,last = 0,Lastl = 0,Lastr = M;i <= N;++i,swap(now,last))
{
int pos = lower_bound(A+1,A+M+1,B[i])-A,l = max(1,pos-N-1),r = min(M,pos+N+1);
for (int j = l;j <= r;++j) f[now][j] = min(f[now][j-1],f[last][min(j-1,Lastr)]+(ll)abs(A[j]-B[i]));
for (int j = Lastl;j <= Lastr;++j) f[last][j] = inf;
Lastl = l; Lastr = r;
}
for (int i = 1,now = N&1;i <= M;++i) ans = min(ans,f[now][i]);
cout << ans << endl;
fclose(stdin); fclose(stdout);
return 0;
}

posted @ 2017-02-15 23:12  lmxyy  阅读(142)  评论(0编辑  收藏