2014
03-16

# Plan

One day, Resty comes to an incredible world to seek Eve — The origin of life. Lilith, the sister of Eve, comes with him. Although Resty wants to find Eve as soon as possible, Lilith likes to play games so much that you can’t make her make any move if you don’t play with her.

Now they comes to the magical world and Lilish ask Resty to play with her.

The game is following :
Now the world is divided into a m * n grids by Lilith, and Lilith gives each grid a score.
So we can use a matrix to describe it.
You should come from cell(0, 0) to cell(m-1, n-1) (Up-Left to Down-Right) and try to colloct as more score as possible.
According to Lilish’s rule, you can’t arrive at each cell more than once.

Resty knows that Lilish will be easy to find the max score, and he doesn’t want to lose the game.
So he want to find the game plan to reach the max score.

Your task is to calculate the max score that Lilish will find, the map is so small so it shouldn’t be difficult for you, right?

The input consists of more than one testdata.
Process to the END OF DATA.
For each test data :
the first live give m and n. (1<=m<=8, 1<=n<=9)
following m lines, each contain n number to give you the m*n matrix.
each number in the matrix is between -2000 and 2000

The input consists of more than one testdata.
Process to the END OF DATA.
For each test data :
the first live give m and n. (1<=m<=8, 1<=n<=9)
following m lines, each contain n number to give you the m*n matrix.
each number in the matrix is between -2000 and 2000

2 2
1 2
3 1
3 3
0 -20 100
1 -20 -20
1   1   1

Case 1: 5
Case 2: 61

#include <iostream>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <stack>
#define maxn 15
#define maxk 3000000
#define maxm 1000
using namespace std;
int f[2][maxk];
int ans;
int hash[maxm];
int a[2][maxk];
int pre[2][maxk];
int map[maxn][maxn];
int n,m,e,tot,num;
int fopp(int k,int b,int x,int fx)
{
stack <int> st;
while (!st.empty()) st.pop();
for (int i=k+b;;i+=b){
int h=fx>>i*2-2&3;
if (h==x){
if(st.empty()) return i;
else st.pop();
}
else if(h) st.push(h);
}
}

void put(int x,int v)
{
int h=x%997;
int p=hash[h];
while (p>0){
if (a[e][p]==x) break;
p=pre[e][p];
}
if (p==0){
num++;
pre[e][num]=hash[h];hash[h]=num;
a[e][num]=x;f[e][num]=v;
}
else f[e][p]=max(f[e][p],v);
}

void dp(int i,int j,int x,int v)
{
int left=x>>2*j-2&3;
int up=x>>2*j&3;
//printf("%d %d %d %d\n",i,j,x,v);
//printf("%d %d\n",left,up);
x-=(left<<2*j-2)+(up<<2*j);
if (left+up==0){
if (i==1&&j==1) {put(x+(1<<2*j-2),v);put(x+(2<<2*j),v);return;}
if (i<n&&j<m) put(x+(1<<2*j-2)+(2<<2*j),v);
put(x,v-map[i][j]);
}
else if(left==0||up==0){
int temp=left+up;
if (i==n&&j==m) ans=max(ans,v);
if (i<n) put(x+(temp<<2*j-2),v);
if (j<m) put(x+(temp<<2*j),v);
}
else if(left+up==3){
if (left==2) put(x,v);
}
else if(left+up==2){
int t=fopp(j+1,1,2,x);
put(x-(1<<t*2-2),v);
}
else if(left+up==4){
int t=fopp(j,-1,1,x);
put(x+(1<<t*2-2),v);
}
}
int main(){
int cas=0;
while (scanf("%d%d",&n,&m)==2){
int i,j,k,code;cas++;
for (i=1;i<=n;i++)
for (j=1;j<=m;j++)
scanf("%d",&map[i][j]);
if (n==1&&m==1) {printf("Case %d: %d\n",cas,map[1][1]);continue;}
memset(f,0,sizeof(f));
memset(hash,0,sizeof(hash));
e=0;num=0;
put(0,0);
ans=-100000000;
for (i=1;i<=n;i++)
for (j=1;j<=m;j++){
memset(hash,0,sizeof(hash));
e=1-e;tot=num;num=0;
for (k=1;k<=tot;k++){
code=a[1-e][k];
if (j==1)  code=code<<2;
dp(i,j,code,f[1-e][k]+map[i][j]);
}
}
printf("Case %d: %d\n",cas,ans);
}
return 0;
}

1. 给你一组数据吧：29 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 1000。此时的数据量还是很小的，耗时却不短。这种方法确实可以，当然或许还有其他的优化方案，但是优化只能针对某些数据，不太可能在所有情况下都能在可接受的时间内求解出答案。

2. 其实国内大部分公司对算法都不够重视。特别是中小型公司老板根本都不懂技术，也不懂什么是算法，从而也不要求程序员懂什么算法，做程序从来不考虑性能问题，只要页面能显示出来就是好程序，这是国内的现状，很无奈。

3. Good task for the group. Hold it up for every yeara??s winner. This is a excellent oppotunity for a lot more enhancement. Indeed, obtaining far better and much better is constantly the crucial. Just like my pal suggests on the truth about ab muscles, he just keeps obtaining much better.