hdu4360 spfa+分割点

标题要求必须按照L O V E 行走为了,你必须至少有一个完整的LOVE。说明可以通过同一个点反复

对每一个点拆分为4个点。分别为从L,O,V,E到达。

起始点看做是从E到达的

spfa时发现当前点距离同样,比較经过的边数,此时若边数更大,也要入队列!由于要更新后面的点经过的边数

trick 是点能够有自环,当N = 1时

1 4
1 1 1 L
1 1 1 O
1 1 1 V
1 1 1 E

还有就是数据可能会超int

敲了两遍,第一遍dijsktra怎么測都对,trick也都想到了。就是WA到死,第二遍初始化手贱4写成3。

。。

附送好多组数据。。。

都是自己编的


//#pragma comment(linker, "/STACK:102400000,102400000")
//HEAD
#include <cstdio>
#include <cstring>
#include <vector>
#include <iostream>
#include <algorithm>

#include <queue>
#include <string>
#include <set>
#include <stack>
#include <map>
#include <cmath>
#include <cstdlib>

using namespace std;
//LOOP
#define FE(i, a, b) for(int i = (a); i <= (b); ++i)
#define FED(i, b, a) for(int i = (b); i>= (a); --i)
#define REP(i, N) for(int i = 0; i < (N); ++i)
#define CLR(A,value) memset(A,value,sizeof(A))
//STL
#define PB push_back
//INPUT
#define RI(n) scanf("%d", &n)
#define RII(n, m) scanf("%d%d", &n, &m)
#define RIII(n, m, k) scanf("%d%d%d", &n, &m, &k)
#define RS(s) scanf("%s", s)
typedef long long LL;
const int MAXN = 1010;


#define FF(i, a, b) for(int i = (a); i < (b); ++i)
#define FD(i, b, a) for(int i = (b) - 1; i >= (a); --i)
#define CPY(a, b) memcpy(a, b, sizeof(a))
#define FC(it, c) for(__typeof((c).begin()) it = (c).begin(); it != (c).end(); it++)
#define EQ(a, b) (fabs((a) - (b)) <= 1e-10)
#define ALL(c) (c).begin(), (c).end()
#define SZ(V) (int)V.size()
#define RIV(n, m, k, p) scanf("%d%d%d%d", &n, &m, &k, &p)
#define RV(n, m, k, p, q) scanf("%d%d%d%d%d", &n, &m, &k, &p, &q)
#define WI(n) printf("%d
", n)
#define WS(s) printf("%s
", s)
#define sqr(x) x * x
typedef vector <int> VI;
typedef unsigned long long ULL;
const double eps = 1e-10;
const LL MOD = 1e9 + 7;

typedef long long LL;
using namespace std;

const int maxn = 3010;
const LL INF = 1e18;

struct Edge{
    int from, to, dis, let;
    Edge(int u, int v, int w, int let): from(u), to(v), dis(w), let(let) {}
};

struct Node{
    int u, let;
    Node(int d, int let): u(d), let(let) {}
};

int n, m;
LL d[maxn][5];
int num[maxn][5], inq[maxn][5];
VI G[maxn];
vector<Edge> edges;

void init(int nn)
{
    n = nn;
    edges.clear();
    FE(i, 0, n) G[i].clear();
}

void addEdge(int u, int v, int w, int let)
{
    edges.push_back(Edge(u, v, w, let));
    m = edges.size();
    G[u].push_back(m - 1);
}

void spfa()
{
    queue<Node> Q;
    Q.push(Node(1, 3));
    FE(i, 0, n) REP(j, 4) d[i][j] = INF;
    CLR(num, 0), CLR(inq, 0);
    d[1][3] = 0, inq[1][3] = 1;
    while (!Q.empty())
    {
        Node x = Q.front();  Q.pop();
        int u = x.u, let = x.let;
        inq[u][let] = 0;
        REP(i, G[u].size())
        {
            Edge& e = edges[G[u][i]];
            if (e.let != (let + 1) % 4) continue;
            if (d[e.to][e.let] > d[u][let] + e.dis || !d[e.to][e.let])
            {
                d[e.to][e.let] = d[u][let] + e.dis;
                num[e.to][e.let] = num[u][let] + 1;
//                printf("now:%d to:%d letter:%d num:%d   d:%d
", u, e.to, e.let, num[e.to][e.let], d[e.to][e.let]);
                if (!inq[e.to][e.let])
                {
                    inq[e.to][e.let] = 1;
                    Q.push(Node(e.to, e.let));
                }
            }
            else if (d[e.to][e.let] == d[u][let] + e.dis && num[e.to][e.let] <= num[u][let])
            {
                num[e.to][e.let] =  num[u][let] + 1;
                if (!inq[e.to][e.let])
                {
                    inq[e.to][e.let] = 1;
                    Q.push(Node(e.to, e.let));
                }
            }
        }
    }
}

int main()
{
    int T, N, M;
    RI(T);
    FE(kase, 1, T)
    {
        int x, y, z, let;
        char s[20];
        RII(N, M);
        init(N);
        REP(i, M)
        {
            RIII(x, y, z);
            RS(s);
            if (s[0] == 'L')    let = 0;
            if (s[0] == 'O')    let = 1;
            if (s[0] == 'V')    let = 2;
            if (s[0] == 'E')    let = 3;
            addEdge(x, y, z, let);
            addEdge(y, x, z, let);
        }
        spfa();
        printf("Case %d: ", kase);
//        cout << d[N][3] << num[N][3] << endl;
        if (d[N][3] == INF || num[N][3] / 4 < 1)
        {
            printf("Binbin you disappoint Sangsang again, damn it!
");
            continue;
        }
        printf("Cute Sangsang, Binbin will come with a donkey after travelling %I64d meters and finding %d LOVE strings at last.
",
                d[N][3], num[N][3] / 4);
    }
    return 0;
}
/*
55
6 6
1 2  10 L
 2 3 20 O
2 4 30 O
3 5 30 V
4 5 10 V
5 6 10 E
4 4
1 2 1 L
2 1 1 O
1 3 1 V
3 4 1 E
4 4
1 2 1 L
2 3 1 O
3 4 1 V
4 1 1 E
1 0
2 1
1 2  1 E


2 8
1 1 2 L
1 1 1 O
1 1 1 V
1 1 1 E
1 2 3 L
2 1 1 O
1 2 1 V
2 1 1 E



12  12
1 5 5 L
5 6 5 O
6 7 5 V
7 12 5 E
1 2 1 L
2 3 1 O
3 4 1 V
4 8 1 E
8 9 1 L
9 10 1 O
10 11 1 V
11 12 13 E

23 24
1 5 5 L
5 6 5 O
6 7 5 V
7 12 5 E
1 2 1 L
2 3 1 O
3 4 1 V
4 8 1 E
8 9 1 L
9 10 1 O
10 11 1 V
11 12 13 E
12 13 1 L
13 14 1 O
14 15 1 V
15 16 1 E
16 17 1 L
17 18 1 O
18 19 1 V
19 23 13 E
12 20 5 L
20 21 5 O
21 22 5 V
22 23 5 E
*/


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原文地址:https://www.cnblogs.com/gcczhongduan/p/4806591.html