ZOJ3229 Shoot the Bullet(有源汇的上下界最大流)

时间:2023-01-18 09:05:20
#pragma warning(disable:4996)
#include <iostream>
#include <cstring>
#include <string>
#include <vector>
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <queue>
#include <map>
#include <stack>
using namespace std; #define maxn 3000
#define maxe 700000
#define inf 0x3f3f3f3f struct Edge
{
int u, v, cap;
int nxt;
}edge[maxe]; int head[maxn]; struct Dicnic
{
int level[maxn];
int iter[maxn];
int add;
void init(){
add = 0; memset(head, -1, sizeof(head));
memset(iter, -1, sizeof(iter));
}
void insert(int u, int v, int c){
edge[add].u = u; edge[add].v = v; edge[add].cap = c;
edge[add].nxt = head[u]; head[u] = add++;
edge[add].u = v; edge[add].v = u; edge[add].cap = 0;
edge[add].nxt = head[v]; head[v] = add++;
}
void bfs(int s){
memset(level, -1, sizeof(level));
queue<int> que;
level[s] = 0;
que.push(s);
while (!que.empty()){
int v = que.front(); que.pop();
for (int i = head[v]; i != -1; i = edge[i].nxt){
Edge &e = edge[i];
if (e.cap > 0 && level[e.v] < 0){
level[e.v] = level[v] + 1;
que.push(e.v);
}
}
}
} int dfs(int v, int t, int f){
if (v == t) return f;
for (int &i = iter[v]; i != -1; i = edge[i].nxt){
Edge &e = edge[i]; Edge &reve = edge[i ^ 1];
if (e.cap > 0 && level[v] < level[e.v]){
int d = dfs(e.v, t, min(f, e.cap));
if (d>0){
e.cap -= d; reve.cap += d;
return d;
}
}
}
return 0;
} int max_flow(int s, int t){
int flow = 0;
for (;;){
bfs(s);
if (level[t] < 0) return flow;
memcpy(iter, head, sizeof(iter));
int f;
while ((f = dfs(s, t, inf))>0){
flow += f;
}
}
}
}net; int n, m;
int G[maxn];
int mflow[400][1500]; int main()
{
while (~scanf("%d%d", &n, &m)){
int sum = 0;
net.init();
for (int i = 0; i < m; ++i) {
scanf("%d", G + i); sum += G[i];
}
int s = n + m + 1, t = s + 1;
int ss = t + 1, tt = ss + 1;
int C, D;
for (int i = 0; i < n; ++i){
scanf("%d%d", &C, &D);
net.insert(s, i, D);
int t, l, r;
for (int j = 0; j < C; ++j){
scanf("%d%d%d", &t, &l, &r); mflow[i][t] = l; sum += l;
net.insert(i, t + n, r - l);
net.insert(ss, t + n, l);
net.insert(i, tt, l);
}
}
for (int i = 0; i < m; ++i){
net.insert(i + n, t, inf);
net.insert(ss, t, G[i]);
net.insert(i + n, tt, G[i]);
}
net.insert(t, s, inf);
if (net.max_flow(ss, tt) != sum){
puts("-1\n"); continue;
}
net.insert(ss, s, inf);
net.insert(t, tt, inf);
int ans = net.max_flow(ss, tt); printf("%d\n", ans);
stack<int> stk;
int from, to, cap;
for (int x = 0; x < n; ++x){
for (int k = head[x]; ~k; k = edge[k].nxt){
from = edge[k].u; to = edge[k].v; cap = edge[k ^ 1].cap;
if (to >= n&&to < n + m){
stk.push(cap + mflow[from][to - n]);
//printf("%d\n", cap + mflow[from][to - n]);
}
}
while (!stk.empty()){
printf("%d\n", stk.top());
stk.pop();
}
}
puts("");
}
return 0;
}