hdu 4280

最大流ISAP,邻接表+GAP+当前弧优化


//时间为3877ms

#include 
#include 
#define VM 100010
#define EM 400010
const int inf = 0x3f3f3f3f;
struct E
{
    int to, frm, nxt, cap;
}edge[EM];

int head[VM],e,n,m,src,des;
int dep[VM], gap[VM];

void addedge(int cu, int cv, int cw)
{
    edge[e].frm = cu;
    edge[e].to = cv;
    edge[e].cap = cw;
    edge[e].nxt = head[cu];
    head[cu] = e++;
    edge[e].frm = cv;
    edge[e].to = cu;
    edge[e].cap = 0;
    edge[e].nxt = head[cv];
    head[cv] = e++;
}

int que[VM];

void BFS()
{
    memset(dep, -1, sizeof(dep));
    memset(gap, 0, sizeof(gap));
    gap[0] = 1;
    int front = 0, rear = 0;
    dep[des] = 0;
    que[rear++] = des;
    int u, v;
    while (front != rear)
    {
        u = que[front++];
        front = front%VM;
        for (int i=head[u]; i!=-1; i=edge[i].nxt)
        {
            v = edge[i].to;
            if (edge[i].cap != 0 || dep[v] != -1)
                continue;
            que[rear++] = v;
            rear = rear % VM;
            ++gap[dep[v] = dep[u] + 1];
        }
    }
}
int cur[VM],stack[VM];
int Sap()       //sap模板
{
    int res = 0;
    BFS();
    int top = 0;
    memcpy(cur, head, sizeof(head));
    int u = src, i;
    while (dep[src] < n)
    {
        if (u == des)
        {
            int temp = inf, inser = n;
            for (i=0; i!=top; ++i){
                if (temp > edge[stack[i]].cap){
                    temp = edge[stack[i]].cap;
                    inser = i;
                }
            }
            for (i=0; i!=top; ++i)
            {
                edge[stack[i]].cap -= temp;
                edge[stack[i]^1].cap += temp;
            }
            res += temp;
            top = inser;
            u = edge[stack[top]].frm;
        }

        if (u != des && gap[dep[u] -1] == 0)
            break;
        for (i = cur[u]; i != -1; i = edge[i].nxt)
            if (edge[i].cap != 0 && dep[u] == dep[edge[i].to] + 1)
                break;

        if (i != -1)
        {
            cur[u] = i;
            stack[top++] = i;
            u = edge[i].to;
        }
        else
        {
            int min = n;
            for (i = head[u]; i != -1; i = edge[i].nxt)
            {
                if (edge[i].cap == 0)
                    continue;
                if (min > dep[edge[i].to])
                {
                    min = dep[edge[i].to];
                    cur[u] = i;
                }
            }
            --gap[dep[u]];
            ++gap[dep[u] = min + 1];
            if (u != src)
                u = edge[stack[--top]].frm;
        }
    }
    return res;
}

int main()
{
    int T, i;
    scanf("%d", &T);
    while (T--)
    {
        scanf("%d%d", &n, &m);
        int x, y;
        int Min = inf, Max = -inf;
        for (i=1; i<=n; ++i)       //找出起点src 终点des
        {
            scanf("%d%d", &x, &y);
            if (x <= Min)
            {
                src = i;
                Min = x;
            }
            if (x >= Max)
            {
                des = i;
                Max = x;
            }
        }
        e = 0;
        memset(head, -1, sizeof(head));
        int u, v, c;
        for (i=0; i!=m; ++i)
        {
            scanf("%d%d%d", &u, &v, &c);
            addedge(u,v,c);
            addedge(v,u,c);
        }
        int ans = Sap();
        printf("%d\n", ans);
    }
    return 0;
}
时间2770ms:
 

#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
using namespace std;
//Macro
//STL-Alias
#define UN(c, a) unique(c, a)
#define MS(c, a) memset(c, a, sizeof c)
#define FLC(c, a ,b) fill(c, c + a, b)
#define LOS(c, a, b) lower_bound(c, a, b)
#define UPS(c, a, b) upper_bound(c, a, b)
//Syntax-Alias
#define Rep(c, a, b) for (int c = (a); c < (b); c++)
#define Nre(c, a, b) for (int c = (a); c > (b); c--)
//DEBUG
#define FK puts("Fu*k here!")
#define PA(s, c, a, b, p, f){\
    printf(s);\
    Rep(c, a, b) printf(p, (f));\
    puts("");}
//Constant
#define INFL (0x7fffffffffffffffLL)
#define INFI (0x7fffffff)
#define MOD ()
#define MAXN (100005)
//Type-Alias
typedef long long LL;
typedef long double LD;
typedef int AI[MAXN];
typedef bool AB[MAXN];
typedef double AD[MAXN];
typedef LL ALL[MAXN];
typedef LD ALD[MAXN];


//FSG
struct Edge
{
    int v, w, next;
};
vector E;
AI L;
void G_ini()
{
    E.clear();
    MS(L, -1);
}
void AE(int u, int v, int w)
{
    Edge te = {v, w, L[u]};
    L[u] = E.size();
    E.push_back(te);
}
#define Ere(c, a, L) for (int c = L[a]; c != -1; c = E[c].next)


//ISAP
int ISAP(int src, int snk, int V)
{
    static AI dis, gap, _L, se;
    int u = src, mxf = 0, te = 0;
    memcpy(_L, L, sizeof L);
    MS(dis, -1); MS(gap, 0);
    gap[dis[snk] = 0] = 1;
    queue Q;
    Q.push(snk);
    while (!Q.empty())
    {
        int u = Q.front(); Q.pop();
        Ere(i, u, L) if (E[i].w && dis[E[i].v] < 0)
        {
            gap[dis[E[i].v] = dis[u] + 1]++;
            Q.push(E[i].v);
        }
    }
    while (dis[src] < V)
    {
        int _i = -1;
        Ere(i, u, _L) if (E[i].w && dis[u] == dis[E[i].v] + 1)
        {
            _i = i;
            break;
        }
        if (_i != -1)
        {
            _L[u] = _i;
            u = E[se[te++] = _i].v;
        }
        else
        {
            int md = INFI;
            _i = -1;
            Ere(i, u, L) if (E[i].w && dis[E[i].v] < md)
            {
                md = dis[E[i].v];
                _L[u] = i;
            }
            if (!--gap[dis[u]]) break;
            gap[dis[u] = md + 1]++;
            if (u != src) u = E[se[te-- - 1] ^ 1].v;
        }
        if (u == snk)
        {
            int _i = 0, mf = INFI;
            Rep(i, 0, te) if (E[se[i]].w < mf)
            {
                mf = E[se[i]].w;
                _i = i;
            }
            Rep(i, 0, te)
            {
                E[se[i]].w -= mf;
                E[se[i] ^ 1].w += mf;
            }
            mxf += mf;
            te = _i;
            u = E[se[_i] ^ 1].v;
        }
    }
    return mxf;
}


struct Isl
{
    int x, y;
    void inp()
    {
        scanf("%d%d", &x, &y);
    }
} I[MAXN];
int n, m;


int main()
{
    int T;
    scanf("%d", &T);
    while (T--)
    {
        //Initialize
        scanf("%d%d", &n, &m);
        I[0].inp();
        int src = 0, snk = 0;
        Rep(i, 1, n)
        {
            I[i].inp();
            if (I[i].x < I[src].x) src = i;
            if (I[i].x > I[snk].x) snk = i;
        }
        G_ini();
        while (m--)
        {
            int u, v, w;
            scanf("%d%d%d", &u, &v, &w);
            u--;
            v--;
            AE(u, v, w);
            AE(v, u, w);
        }
        //Solve
        printf("%d\n", ISAP(src, snk, n));
    }
    return 0;
}

 



 
  
 
 

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