#include <bits/stdc++.h>
#include "wombats.h"
using namespace std;
mt19937_64 rng(1);
int R, C;
int sz, I[200];
int H[5000][200], V[5000][200], DP[75][5000][200];
int temp[200];
inline void doDP(int u, int row = 0)
{
int index = I[u];
if(!row)
{
DP[index][0][u] = 0;
for(int i = u - 1; i >= 0; i--) DP[index][0][i] = DP[index][0][i + 1] + H[0][i];
if(u < (C - 1)) for(int i = u + 1; i < C; i++) DP[index][0][i] = DP[index][0][i - 1] + H[0][i - 1];
}
for(int i = row + !row; i < R; i++)
{
temp[0] = DP[index][i - 1][0] + V[i - 1][0];
for(int j = 1; j < C; j++)
{
temp[j] = min(temp[j - 1] + H[i][j - 1], DP[index][i - 1][j] + V[i - 1][j]);
}
int dp = DP[index][i - 1][C - 1] + V[i - 1][C - 1];
for(int j = C - 2; j >= 0; j--)
{
dp = min(dp + H[i][j], DP[index][i - 1][j] + V[i - 1][j]);
temp[j] = min(dp, temp[j]);
}
bool diff = false;
for(int j = 0; j < C; j++) if(temp[j] != DP[index][i][j]) {diff = true; break;}
if(!diff) break;
for(int j = 0; j < C; j++) DP[index][i][j] = temp[j];
}
return;
}
void init(int r, int c, int h[5000][200], int v[5000][200])
{
R = r;
C = c;
for(int i = 0; i < R; i++)
{
for(int j = 0; j < C; j++) {H[i][j] = h[i][j]; V[i][j] = v[i][j];}
}
for(int i = 0; i < C; i++) I[i] = -1;
return;
}
void changeH(int r, int c, int w)
{
H[r][c] = w;
for(int i = 0; i < C; i++) if(I[i] >= 0) doDP(i, r);
return;
}
void changeV(int r, int c, int w)
{
V[r][c] = w;
for(int i = 0; i < C; i++) if(I[i] >= 0) doDP(i, r + 1);
return;
}
int escape(int u, int v)
{
if(I[u] < 0)
{
if(sz < 75) I[u] = sz++;
else
{
int kick;
do
{
kick = rng() % C;
}while(I[kick] < 0);
I[u] = I[kick];
I[kick] = -1;
}
doDP(u);
}
return DP[I[u]][R - 1][v];
}
//int h[5000][200], v[5000][200];
//int main()
//{
// ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
// int r, c;
// cin >> r >> c;
// for(int i = 0; i < r; i++)
// {
// for(int j = 0; j < (c - 1); j++) cin >> h[i][j];
// }
// for(int i = 0; i < (r - 1); i++)
// {
// for(int j = 0; j < c; j++) cin >> v[i][j];
// }
// init(r, c, h, v);
// int Q, t, u, v, w;
// cin >> Q;
// while(Q--)
// {
// cin >> t >> u >> v;
// if(t == 3) cout << escape(u, v) << '\n';
// else
// {
// cin >> w;
// if(t == 1) changeH(u, v, w);
// else changeV(u, v, w);
// }
// }
// return 0;
//}
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