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| #include <cstdio>
#include <queue>
int getint() {
int r = 0, k = 1; char c = getchar();
for (; c < '0' || c > '9'; c = getchar()) if (c == '-') k = -1;
for (; '0' <= c && c <= '9'; c = getchar()) r = r * 10 - '0' + c;
return r * k;
}
const int maxn = 55;
const int maxe = 20005;
const int maxnode = 6005;
const int dx[2] = {0, 1}, dy[2] = {1, 0};
struct edge_type {
int to, next, r, c;
} edge[maxe];
int h[maxnode], cnte = 1;
int S, T, tot = 2;
int n, m;
int w[maxn][maxn], rid[maxn][maxn], cid[maxn][maxn];
void ins(int u, int v, int f, int c) {
++cnte;
edge[cnte].to = v;
edge[cnte].next = h[u];
edge[cnte].r = f;
edge[cnte].c = c;
h[u] = cnte;
++cnte;
edge[cnte].to = u;
edge[cnte].next = h[v];
edge[cnte].r = 0;
edge[cnte].c = -c;
h[v] = cnte;
}
using namespace std;
const int INF = 1<<30;
queue<int> Q;
int dis[maxnode], pre[maxnode], a[maxnode];
bool vis[maxnode];
bool SPFA(int S, int T, int &flow, int &cost){
while (!Q.empty()) Q.pop();
for (int i = S; i <= T; ++i) vis[i] = false, dis[i] = INF;
dis[S] = 0;
Q.push(S);
vis[S] = true;
a[S] = INF;
pre[S] = 0;
int now;
while (!Q.empty()) {
now = Q.front(); Q.pop();
vis[now] = false;
for (int i = h[now]; i; i = edge[i].next) {
if (edge[i].r && dis[edge[i].to] > dis[now] + edge[i].c) {
dis[edge[i].to] = dis[now] + edge[i].c;
pre[edge[i].to] = i;
a[edge[i].to] = min(a[now], edge[i].r);
if (!vis[edge[i].to]) {
Q.push(edge[i].to);
vis[edge[i].to] = true;
}
}
}
}
if (dis[T] == INF) return false;
flow += a[T];
cost += a[T] * dis[T];
for (now = T; now != S; now = edge[pre[now]^1].to) {
edge[pre[now]].r -= a[T];
edge[pre[now]^1].r += a[T];
}
return true;
}
int MCMF(int S, int T) {
int flow = 0, cost = 0;
while (SPFA(S, T, flow, cost));
return cost;
}
int main() {
n = getint(); m = getint(); S = 1;
for (int i = 1; i <= n; ++i)
for (int j = 1; j <= n; ++j) {
w[i][j] = getint();
rid[i][j] = tot++;
cid[i][j] = tot++;
ins(rid[i][j], cid[i][j], 1, -w[i][j]);
ins(rid[i][j], cid[i][j], m-1, 0);
}
T = tot;
for (int i = 1; i <= n; ++i)
for (int j = 1; j <= n; ++j)
for (int k = 0; k < 2; ++k) {
int tx = i + dx[k], ty = j + dy[k];
if (1<=tx&&tx<=n&&1<=ty&&ty<=n) ins(cid[i][j], rid[tx][ty], m, 0);
}
ins(S, rid[1][1], m, 0);
ins(cid[n][n], T, m, 0);
int ans = MCMF(S, T);
printf("%d", -ans);
}
|