LA 2531 The K-league 最大流
#include <iostream>
#include <cstdio>
#include <fstream>
#include <algorithm>
#include <cmath>
#include <deque>
#include <vector>
#include <queue>
#include <string>
#include <cstring>
#include <map>
#include <stack>
#include <set>
#define INF 0x3f3f3f3f
#define OPEN_FILE
#define MAXN 626
using namespace std; int n;
int win[MAXN], remain[MAXN][MAXN];
struct Edge{
int from, to, cap, flow;
//Edge(int u, int v, int c, int f) :from(u), to(v), cap(c), flow(f){};
};
bool comp(const Edge& a, const Edge& b){
return (a.from < b.from || (a.from == b.from && a.to < b.to));
}
struct Dinic{
int n, m, i, s, t;
Edge e;
vector<Edge> edges;
vector<int> G[MAXN];
int d[MAXN], cur[MAXN];
bool vis[MAXN];
void init(int n){
this->n = n;
for (i = ; i <= n; i++){
G[i].clear();
}
edges.clear();
}
void AddEdge(int from, int to, int cap){
edges.push_back(Edge{ from, to, cap, });
edges.push_back(Edge{ to, from, , });
m = edges.size();
G[from].push_back(m - );
G[to].push_back(m - );
}
bool BFS(){
memset(vis, , sizeof(vis));
queue<int> Q;
Q.push(s);
d[s] = ;
vis[s] = ;
while (!Q.empty()){
int x = Q.front();
Q.pop();
for (i = ; i < G[x].size(); i++){
Edge& e = edges[G[x][i]];
if (!vis[e.to] && e.cap > e.flow){
vis[e.to] = true;
d[e.to] = d[x] + ;
Q.push(e.to);
}
}
}
return vis[t];
}
int DFS(int x, int a){
if (x == t || a == ) return a;
int flow = , f;
for (int& i = cur[x]; i < G[x].size(); i++){
Edge& e = edges[G[x][i]];
if (d[x] + == d[e.to] && (f = DFS(e.to, min(a, e.cap - e.flow))) > ){
e.flow += f;
edges[G[x][i] ^ ].flow -= f;
flow += f;
a -= f;
if (a == ) break;
}
}
return flow;
}
int MaxFlow(int s, int t, int need){
int flow = ;
this->s = s;
this->t = t;
while (BFS()){
memset(cur, , sizeof(cur));
flow += DFS(s, INF);
if (flow > need) return flow;
}
return flow;
}
bool checkFull(int s){
for (int i = ; i < G[s].size(); i++){
if (edges[G[s][i]].flow != edges[G[s][i]].cap){
return false;
}
}
return true;
}
}; int main()
{
#ifdef OPEN_FILE
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
#endif // OPEN_FILE
int T, x;
scanf("%d", &T);
for (int cas = ; cas <= T; cas++){
scanf("%d", &n);
memset(win, , sizeof(win));
for (int i = ; i <= n; i++){
scanf("%d%d", &win[i], &x);
}
memset(remain, , sizeof(remain));
int p = ;
for (int i = ; i <= n; i++){
for (int j = ; j <= n; j++){
scanf("%d", &x);
if (i == j) continue;
remain[i][] += x;
if (remain[i][j] == && remain[j][i] == ){
remain[i][j] = x;
++p;
}
}
}
int s = , t = n + p + , q;
bool flag, first;
Dinic ex;
first = false;
for (int k = ; k <= n; k++){
ex.init(n * n);
flag = false;
q = ;
int total = win[k] + remain[k][];
for (int i = ; i <= n; i++){
for (int j = i + ; j <= n; j++){
if (!remain[i][j]) continue;
ex.AddEdge(s, q, remain[i][j]);
ex.AddEdge(q, p + i, INF);
ex.AddEdge(q, p + j, INF);
q++;
}
if (total - win[i] < ) {
flag = true;
break;
}
ex.AddEdge(p + i, t, total - win[i]);
}
if (flag){
continue;
}
ex.MaxFlow(s, t, INF);
if (ex.checkFull()){
if (first){
printf(" ");
}
printf("%d", k);
first = true;
}
}
printf("\n");
}
}
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