# 题目

## Description

Hatsune Miku is a popular virtual singer. It is very popular in both Japan and China. Basically it is a computer software that allows you to compose a song on your own using the vocal package.

Today you want to compose a song, which is just a sequence of notes. There are only m different notes provided in the package. And you want to make a song with n notes.

Also, you know that there is a system to evaluate the beautifulness of a song. For each two consecutive notes a and b, if b comes after a, then the beautifulness for these two notes is evaluated as score(a, b).

So the total beautifulness for a song consisting of notes a 1, a 2, . . . , a n, is simply the sum of score(a i, a i+1) for 1 ≤ i ≤ n - 1.

Now, you find that at some positions, the notes have to be some specific ones, but at other positions you can decide what notes to use. You want to maximize your song’s beautifulness. What is the maximum beautifulness you can achieve

## Input

The first line contains an integer T (T ≤ 10), denoting the number of the test cases.

For each test case, the first line contains two integers n(1 ≤ n ≤ 100) and m(1 ≤ m ≤ 50) as mentioned above. Then m lines follow, each of them consisting of m space-separated integers, the j-th integer in the i-th line for score(i, j)( 0 ≤ score(i, j) ≤ 100). The next line contains n integers, a 1, a 2, . . . , a n (-1 ≤ a i ≤ m, a i ≠ 0), where positive integers stand for the notes you cannot change, while negative integers are what you can replace with arbitrary notes. The notes are named from 1 to m.

## Output

For each test case, output the answer in one line.

## Sample Input

2
5 3
83 86 77
15 93 35
86 92 49
3 3 3 1 2
10 5
36 11 68 67 29
82 30 62 23 67
35 29 2 22 58
69 67 93 56 11
42 29 73 21 19
-1 -1 5 -1 4 -1 -1 -1 4 -1

270
625

# 题解

(本来有 bug 改成函数瞬间就没 bug 了)

# 代码

```/*
By:OhYee
Github:OhYee
Blog:http://www.oyohyee.com/
Email:oyohyee@oyohyee.com

かしこいかわいい？
エリーチカ！

*/
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <iomanip>
#include <iostream>
#include <map>
#include <set>
#include <list>
#include <queue>
#include <stack>
#include <string>
#include <vector>
#include <bitset>
#include <functional>

using namespace std;

const int INF = 0x7FFFFFFF;
const double eps = 1e-10;

const int maxm = 55;
const int maxn = 105;

int n,m;
int score[maxm][maxm];
int note[maxn];
int dp[maxn][maxm];

void DP(int i,int ln,int tn) {
dp[i][tn] = max(dp[i][tn],dp[i - 1][ln] + score[ln][tn]);
}

void TN(int i,int ln) {
if(note[i] < 0) {
for(int j = 1;j <= m;j++)
DP(i,ln,j);
} else {
DP(i,ln,note[i]);
}
}

void LN(int i) {
if(note[i - 1] < 0) {
for(int j = 1;j <= m;j++)
TN(i,j);
} else {
TN(i,note[i - 1]);
}
}

void Do() {

cin >> n >> m;
for(int i = 1;i <= m;i++)
for(int j = 1;j <= m;j++)
cin >> score[i][j];
for(int i = 0;i < n;i++)
cin >> note[i];

memset(dp,0,sizeof(dp));
for(int i = 1;i < n;i++) {
LN(i);
}

int Max = 0;
for(int i = 1;i <= m;i++)
Max = max(Max,dp[n - 1][i]);

cout << Max << endl;
}

int main() {
cin.tie(0);
cin.sync_with_stdio(false);

int T;
cin >> T;
while(T--)
Do();

return 0;
}
```