就是給你一個電力網絡,有發電站,有用戶,有中轉站,然後讓你求用戶最多能使用多少電
然後就是網絡流唄,建一個超級源點,連接所有發電站,然後建一個超級匯點,連接所用用戶,然後從超級源點往超級匯點跑網絡流就行
但是因爲是第一次寫,找模板找了好久,最後還是用kuangbin菊苣的模板,畢竟是鏈式前向星的熟悉,而且代碼風格也很熟悉,而且模板也很nice,快的飛起
對了,複雜度應該是O(n*n*sqrt(m))的
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <string>
#include <fstream>
#include <list>
#include <stack>
#include <queue>
#include <deque>
#include <algorithm>
#include <map>
#include <set>
#include <vector>
using namespace std;
//ISAP+bfs 初始化+棧優化
#define maxn 100010//點數的最大值
#define maxm 400010//邊數的最大值
#define INF 0x3f3f3f3f
struct Edge
{
int to, next, cap, flow;
}edge[maxm];//注意是maxm
int tol;
int head[maxn];
int gap[maxn], dep[maxn], cur[maxn];
void init()
{
tol = 0;
memset(head, -1, sizeof(head));
}
void addedge(int u, int v, int w, int rw = 0)
{
edge[tol].to = v; edge[tol].cap = w; edge[tol].flow = 0;
edge[tol].next = head[u]; head[u] = tol++;
edge[tol].to = u; edge[tol].cap = rw; edge[tol].flow = 0;
edge[tol].next = head[v]; head[v] = tol++;
}
int Q[maxn];
void BFS(int start, int end)
{
memset(dep, -1, sizeof(dep));
memset(gap, 0, sizeof(gap));
gap[0] = 1;
int front = 0, rear = 0;
dep[end] = 0;
Q[rear++] = end;
while (front != rear)
{
int u = Q[front++];
for (int i = head[u]; i != -1; i = edge[i].next)
{
int v = edge[i].to;
if (dep[v] != -1)continue;
Q[rear++] = v;
dep[v] = dep[u] + 1;
gap[dep[v]]++;
}
}
}
int S[maxn];
int sap(int start, int end, int N)
{
BFS(start, end);
memcpy(cur, head, sizeof(head));
int top = 0;
int u = start;
int ans = 0;
while (dep[start] < N)
{
if (u == end)
{
int Min = INF;
int inser;
for (int i = 0; i < top; i++)
if (Min > edge[S[i]].cap - edge[S[i]].flow)
{
Min = edge[S[i]].cap - edge[S[i]].flow;
inser = i;
}
for (int i = 0; i < top; i++)
{
edge[S[i]].flow += Min;
edge[S[i] ^ 1].flow -= Min;
}
ans += Min;
top = inser;
u = edge[S[top] ^ 1].to;
continue;
}
bool flag = false;
int v;
for (int i = cur[u]; i != -1; i = edge[i].next)
{
v = edge[i].to;
if (edge[i].cap - edge[i].flow && dep[v] + 1 == dep[u])
{
flag = true;
cur[u] = i;
break;
}
}
if (flag)
{
S[top++] = cur[u];
u = v;
continue;
}
int Min = N;
for (int i = head[u]; i != -1; i = edge[i].next)
if (edge[i].cap - edge[i].flow && dep[edge[i].to] < Min)
{
Min = dep[edge[i].to];
cur[u] = i;
}
gap[dep[u]]--;
if (!gap[dep[u]])return ans;
dep[u] = Min + 1;
gap[dep[u]]++;
if (u != start)u = edge[S[--top] ^ 1].to;
}
return ans;
}
char s0[20];
int main()
{
//freopen("input.txt", "r", stdin);
int n, np, nc, m;
int u, v, w;
while (scanf("%d%d%d%d", &n, &np, &nc, &m) != EOF)
{
//printf("n %d np %d nc %d m %d\n", n, np, nc, m);
init();
n += 2;
for (int i = 0; i < m; ++i)
{
scanf("%s", s0);
sscanf(s0, "(%d,%d)%d", &u, &v, &w);
//printf("u %d v %d w %d\n", u, v, w);
++u; ++v;
addedge(u, v, w);
}
for (int i = 0; i < np; ++i)
{
scanf("%s", s0);
sscanf(s0, "(%d)%d", &v, &w);
//printf("v %d w %d\n", v, w);
++v;
addedge(0, v, w);
}
for (int i = 0; i < nc; ++i)
{
scanf("%s", s0);
sscanf(s0, "(%d)%d", &u, &w);
//printf("u %d w %d\n", u, w);
++u;
addedge(u, n - 1, w);
}
int ans = sap(0, n - 1, n);
printf("%d\n", ans);
}
//while (1);
return 0;
}