It’s a bottom up dp approach.
#include <iostream>
#include <cstdio>
#include <queue>
#include <sstream>
#include <string>
#include <queue>
#include <vector>
#include <cstring>
#include <algorithm>
#include <cmath>
#define INF 100000000
using namespace std;
vector<int> vb[11];
vector<int> v;
int dp[11][1010];
void init()
{
for(int i=0;i<11;i++)
{
vb[i].clear();
for(int j=0;j<1010;j++)
{
dp[i][j]=-1;
}
}
}
int _min(int a,int b,int c,int d)
{
v.clear();
v.push_back(a);
v.push_back(b);
v.push_back(c);
v.push_back(d);
sort(v.begin(),v.end());
return v[0];
}
int mn(int a,int b,int c)
{
v.clear();
v.push_back(a);
v.push_back(b);
v.push_back(c);
sort(v.begin(),v.end());
return v[0];
}
int main()
{
int t,X,slot,a,b,c,d;
scanf("%d",&t);
while(t--)
{
scanf("%d",&X);
init();
slot = X/100;
for(int i=9;i>=0;i--)
{
for(int j=0;j<slot;j++)
{
scanf("%d",&a);
vb[i].push_back(a);
}
}
dp[0][1]=30-vb[0][0];
dp[1][1]=60-vb[0][0];
for(int i=2;i<=slot;i++)
{
for(int j=0;j<=9;j++)
{
if(j>0 && j<9)
{
if(dp[j-1][i-1]==-1)a = INF;
else a = dp[j-1][i-1]+60-vb[j-1][i-1];
if(dp[j][i-1]==-1)b = INF;
else b = dp[j][i-1]+30-vb[j][i-1];
if(dp[j+1][i-1]==-1)c = INF;
else c = dp[j+1][i-1]+20-vb[j+1][i-1];
if(dp[j][i]==-1)d = INF;
else d = dp[j][i];
dp[j][i]=_min(a,b,c,d);//_min( dp[j-1][i-1]+60-vb[j-1][i-1], dp[j][i-1]+30-vb[j][i-1], dp[j+1][i-1]+20-vb[j+1][i-1] );
}
else if(j==9)
{
if(dp[j-1][i-1]==-1)a = INF;
else a = dp[j-1][i-1]+60-vb[j-1][i-1];
if(dp[j][i-1]==-1)b = INF;
else b = dp[j][i-1]+30-vb[j][i-1];
if(dp[j][i]==-1)c = INF;
else c = dp[j][i];
dp[j][i]=mn(a,b,c);//_min( dp[j-1][i-1]+60-vb[j-1][i-1], dp[j][i-1]+30-vb[j][i-1] );
}
else if(j==0)
{
if(dp[j][i-1]==-1)a = INF;
else a = dp[j][i-1]+30-vb[j][i-1];
if(dp[j+1][i-1]==-1)b = INF;
else b = dp[j+1][i-1]+20-vb[j+1][i-1];
if(dp[j][i]==-1)c = INF;
else c = dp[j][i];
dp[j][i]=mn(a,b,c);//_min( dp[j][i-1]+30-vb[j][i-1], dp[j+1][i-1]+20-vb[j+1][i-1] );
}
}
}
cout<<dp[0][slot]<<"\n\n";
}
return 0;
}