1.​​题目链接​​。给定一个网格图,求这个网格图从左上角(1,1)到右下角(n,m)的最大流。裸题。

#include<bits/stdc++.h>
#include<queue>
using namespace std;
typedef long long LL;
const int MAXM = 6000011;
const int MAXN = 1000011;
int inf;
int n, m;
int first[MAXN];
int ecnt;
int s, t;
int dis[MAXN];
int ans;
#pragma warning(disable:4996)
struct edge {
int v, f;
int next;
}e[MAXM];

void link(int x, int y, int z)
{
e[++ecnt].next = first[x]; first[x] = ecnt; e[ecnt].v = y; e[ecnt].f = z;
e[++ecnt].next = first[y]; first[y] = ecnt; e[ecnt].v = x; e[ecnt].f = z;
}

bool bfs() {
memset(dis, 127 / 3, sizeof(dis));
int cun = dis[t];
queue<int>Q;
while (!Q.empty()) Q.pop();

dis[1] = 1; Q.push(1);
while (!Q.empty()) {
int u = Q.front(); Q.pop();
for (int i = first[u]; i; i = e[i].next) {
if (e[i].f && dis[e[i].v] == cun) {
dis[e[i].v] = dis[u] + 1; Q.push(e[i].v);
}
}
if (dis[t] != cun) return true;
}

return false;
}

int maxflow(int now, int remain)
{
if (remain == 0 || now == t) return remain;
int flow = 0;
for (int i = first[now]; i; i = e[i].next) {
if (dis[e[i].v] == dis[now] + 1 && e[i].f) {
int f = maxflow(e[i].v, min(remain, e[i].f));
if (f) {
e[i].f -= f; e[i ^ 1].f += f;
flow += f; remain -= f;
if (remain == 0) return flow;
}
else dis[e[i].v] = -1;
}
}
return flow;
}

void solve() {
s = 1, t = n * m; inf = 1;
for (int i = 1; i <= 30; i++) inf *= 2;
while (bfs())
{
ans += maxflow(s, inf);
}
printf("%d", ans);
}

int main()
{
scanf("%d%d", &n, &m);
int x; ecnt = 1;
int nowx, nownex;
///横向加边
for (int i = 1; i <= n; i++)
for (int j = 1; j < m; j++)
{
nowx = (i - 1)*m + j, nownex = nowx + 1;
scanf("%d", &x);
link(nowx, nownex, x);
}

for (int i = 1; i < n; i++)
for (int j = 1; j <= m; j++) {
nowx = (i - 1)*m + j, nownex = nowx + m;
scanf("%d", &x);
link(nowx, nownex, x);
}

for (int i = 1; i < n; i++)
for (int j = 1; j < m; j++)
{
nowx = (i - 1)*m + j, nownex = nowx + m + 1;
scanf("%d", &x);
link(nowx, nownex, x);
}

solve();
return 0;
}