PAT L3-007 天梯地图

https://pintia.cn/problem-sets/994805046380707840/problems/994805051153825792

  

本题要求你实现一个天梯赛专属在线地图，队员输入自己学校所在地和赛场地点后，该地图应该推荐两条路线：一条是最快到达路线；一条是最短距离的路线。题目保证对任意的查询请求，地图上都至少存在一条可达路线。

输入格式：

输入在第一行给出两个正整数N（2 ≤ N ≤ 500）和M，分别为地图中所有标记地点的个数和连接地点的道路条数。随后M行，每行按如下格式给出一条道路的信息：

V1 V2 one-way length time

其中V1和V2是道路的两个端点的编号（从0到N-1）；如果该道路是从V1到V2的单行线，则one-way为1，否则为0；length是道路的长度；time是通过该路所需要的时间。最后给出一对起点和终点的编号。

输出格式：

首先按下列格式输出最快到达的时间T和用节点编号表示的路线：

Time = T: 起点 => 节点1 => ... => 终点

然后在下一行按下列格式输出最短距离D和用节点编号表示的路线：

Distance = D: 起点 => 节点1 => ... => 终点

如果最快到达路线不唯一，则输出几条最快路线中最短的那条，题目保证这条路线是唯一的。而如果最短距离的路线不唯一，则输出途径节点数最少的那条，题目保证这条路线是唯一的。

如果这两条路线是完全一样的，则按下列格式输出：

Time = T; Distance = D: 起点 => 节点1 => ... => 终点

输入样例1：

10 15
0 1 0 1 1
8 0 0 1 1
4 8 1 1 1
5 4 0 2 3
5 9 1 1 4
0 6 0 1 1
7 3 1 1 2
8 3 1 1 2
2 5 0 2 2
2 1 1 1 1
1 5 0 1 3
1 4 0 1 1
9 7 1 1 3
3 1 0 2 5
6 3 1 2 1
5 3

输出样例1：

Time = 6: 5 => 4 => 8 => 3
Distance = 3: 5 => 1 => 3

输入样例2：

7 9
0 4 1 1 1
1 6 1 3 1
2 6 1 1 1
2 5 1 2 2
3 0 0 1 1
3 1 1 3 1
3 2 1 2 1
4 5 0 2 2
6 5 1 2 1
3 5

输出样例2：

Time = 3; Distance = 4: 3 => 2 => 5

代码：

ACACAC

#include <bits/stdc++.h>
using namespace std;

const int inf = 0x3f3f3f3f;
int N, M, st, en;
int mp[550][550], tim[550][550];
int vis[550], see[550], pre[550], num[550];
int dis[550];
int coos[550], nx[550];
vector<int> v[550];
int ans1, ans2;

void dijkstra(int act) {
    dis[act] = 0;
    pre[act] = -1;
    num[act] = 1;

    int temp = act;
    for(int i = 0; i < N; i ++) {
        int minn = inf;
        for(int j = 0; j < N; j ++) {
            if(vis[j]) continue;
            if(dis[j] < minn || (dis[j] == minn && num[j] > num[temp])) {
                temp = j;
                minn = dis[j];
            }
        }

        vis[temp] = 1;
        for(int k = 0; k < N; k ++) {
            if(vis[k]) continue;
            if(dis[k] > dis[temp] + mp[temp][k]) {
                dis[k] = dis[temp] + mp[temp][k];
                num[k] = num[temp] + 1;
                pre[k] =  temp;
            } else if(dis[k] == dis[temp] + mp[temp][k] && num[k] > num[temp] + 1) {
                num[k] = num[temp] + 1;
                pre[k] = temp;
            }
        }

    }
    
    ans1 = dis[en];
}

void Dijkstra(int act) {
    coos[act] = 0;
    nx[act] = -1;

    int temp = act;

    for(int i = 0; i < N; i ++) {
        int minn = inf;
        for(int j = 0; j < N; j ++) {
            if(see[j]) continue;
            if(coos[j] < minn || (coos[j] == minn && dis[j] > dis[temp])) {
                temp = j;
                minn = coos[j];
            }
        }

        see[temp] = 1;
        for(int k = 0; k < N; k ++) {
            if(see[k]) continue;
            if(coos[k] > coos[temp] + tim[temp][k]) {
                coos[k] = coos[temp] + tim[temp][k];
                dis[k] = dis[temp] + mp[temp][k];
                nx[k] = temp;
            } else if(coos[k] == coos[temp] + tim[temp][k] && dis[k] > dis[temp] + mp[temp][k]) {
                dis[k] = dis[temp] + mp[temp][k];
                nx[k] = temp;
            }
        }
    }
    
    ans2 = coos[en];
    
}

int main() {
    memset(vis, 0, sizeof(vis));
    memset(see, 0, sizeof(see));
    memset(dis, inf, sizeof(dis));
    memset(mp, inf, sizeof(mp));
    memset(tim, inf, sizeof(tim));
    memset(coos, inf, sizeof(coos));
    scanf("%d%d", &N, &M);
    for(int i = 0; i < M; i ++) {
        int uu, vv, dir, len, t;
        scanf("%d%d%d%d%d", &uu, &vv, &dir, &len, &t);
        if(dir == 0) {
            v[uu].push_back(vv);
            v[vv].push_back(uu);
            mp[uu][vv] = mp[vv][uu] = len;
            tim[uu][vv] = tim[vv][uu] = t;
        } else {
            v[uu].push_back(vv);
            mp[uu][vv] = len;
            tim[uu][vv] = t;
        }
    }
    scanf("%d%d", &st, &en);

    string s1 = "", s2 = "";
    dijkstra(st);
    Dijkstra(st);

    stack<int> s3, s4;

    bool same = true;
    int n1 = en, n2 = en;
    vector<int> v1, v2;

    while(n1 != -1) {
        v1.push_back(n1);
        n1 = pre[n1];
    }
    while(n2 != -1) {
        v2.push_back(n2);
        n2 = nx[n2];
    }

    if(v1.size() != v2.size()) same = false;
    else {
        int m = v1.size();
        for(int i = 0; i < m; i ++) {
            if(v1[i] != v2[i]) {
                same = false;
                break;
            }
        }
    }

    int mintime = ans2;
    int minway = ans1;

    if(!same) {

        printf("Time = %d: ", mintime);
        stack<int> s2;
        int lastt = en;
        while(lastt != -1) {
            s2.push(lastt);
            lastt = nx[lastt];
        }
        printf("%d", s2.top());
        s2.pop();
        while(!s2.empty()) {
            printf(" => %d", s2.top());
            s2.pop();
        }

        printf("
");

        printf("Distance = %d: ", minway);
        stack<int> s1;
        int last = en;
        while(last != -1) {
            s1.push(last);
            last = pre[last];
        }
        printf("%d", s1.top());
        s1.pop();
        while(!s1.empty()) {
            printf(" => %d", s1.top());
            s1.pop();
        }
    } else {
        printf("Time = %d; Distance = %d: ", mintime, minway);
        stack<int> s1;
        int last = en;
        while(last != -1) {
            s1.push(last);
            last = pre[last];
        }
        printf("%d", s1.top());
        s1.pop();
        while(!s1.empty()) {
            printf(" => %d", s1.top());
            s1.pop();
        }
    }


    return 0;
}
View Code

WA 掉的 

#include <bits/stdc++.h>
using namespace std;

const int inf = 0x3f3f3f3f;
int N, M, st, en;
int mp[550][550], tim[550][550];
int vis[550], see[550], pre[550], num[550];
int dis[550];
int coos[550], nx[550];
vector<int> v[550];

void dijkstra(int act) {
	dis[act] = 0;
	pre[act] = -1;
	num[act] = 1;

	int temp = act;
	for(int i = 0; i < N; i ++) {
		int minn = inf;
		for(int j = 0; j < N; j ++) {
			if(vis[j]) continue;
			if(dis[j] < minn || (dis[j] == minn && num[j] > num[temp] + 1)) {
				temp = j;
				minn = dis[j];
			}
		}

		vis[temp] = 1;
		for(int k = 0; k < N; k ++) {
			if(vis[k]) continue;
			if(dis[k] > dis[temp] + mp[temp][k]) {
				dis[k] = dis[temp] + mp[temp][k];
				num[k] = num[temp] + 1;
				pre[k] =  temp;
			} else if(dis[k] == dis[temp] + mp[temp][k] && num[k] > num[temp] + 1) {
				num[k] = num[temp] + 1;
				pre[k] = temp;
			}
		}

	}
}

void Dijkstra(int act) {
	coos[act] = 0;
	nx[act] = -1;

	int temp = act;

	for(int i = 0; i < N; i ++) {
		int minn = inf;
		for(int j = 0; j < N; j ++) {
			if(see[j]) continue;
			if(coos[j] < minn || (coos[j] == minn && dis[j] > dis[temp] + mp[temp][j])) {
				temp = j;
				minn = coos[j];
			}
		}

		see[temp] = 1;
		for(int k = 0; k < N; k ++) {
			if(see[k]) continue;
			if(coos[k] > coos[temp] + tim[temp][k]) {
				coos[k] = coos[temp] + tim[temp][k];
				nx[k] = temp;
			} else if(coos[k] == coos[temp] + tim[temp][k] && dis[k] > dis[temp] + mp[temp][k]) {
				nx[k] = temp;
			}
		}
	}
}

int main() {
	memset(vis, 0, sizeof(vis));
	memset(see, 0, sizeof(see));
	memset(dis, inf, sizeof(dis));
	memset(mp, inf, sizeof(mp));
	memset(tim, inf, sizeof(tim));
	memset(coos, inf, sizeof(coos));
	scanf("%d%d", &N, &M);
	for(int i = 0; i < M; i ++) {
		int uu, vv, dir, len, t;
		scanf("%d%d%d%d%d", &uu, &vv, &dir, &len, &t);
		if(dir == 0) {
			v[uu].push_back(vv);
			v[vv].push_back(uu);
			mp[uu][vv] = mp[vv][uu] = len;
			tim[uu][vv] = tim[vv][uu] = t;
		} else {
			v[uu].push_back(vv);
			mp[uu][vv] = len;
			tim[uu][vv] = t;
		}
	}
	scanf("%d%d", &st, &en);

    string s1 = "", s2 = "";
	dijkstra(st);
	Dijkstra(st);

	stack<int> s3, s4;

	bool same = false;
	int n1 = en, n2 = en;
	vector<int> v1, v2;

	while(n1 != -1) {
        v1.push_back(n1);
        n1 = pre[n1];
	}
	while(n2 != -1) {
        v2.push_back(n2);
        n2 = nx[n2];
	}

	if(v1.size() != v2.size()) same = false;
	else {
        int m = v1.size();
        for(int i = 0; i < m; i ++) {
            if(v1[i] == v2[i]) {
                same = true;
                break;
            }
        }
	}

	int mintime = coos[en];
	int minway = dis[en];

	if(!same) {

        printf("Time = %d: ", mintime);
        stack<int> s2;
        int lastt = en;
        while(lastt != -1) {
            s2.push(lastt);
            lastt = nx[lastt];
        }
        printf("%d", s2.top());
        s2.pop();
        while(!s2.empty()) {
            printf(" => %d", s2.top());
            s2.pop();
        }

        printf("
");

        printf("Distance = %d: ", minway);
        stack<int> s1;
        int last = en;
        while(last != -1) {
            s1.push(last);
            last = pre[last];
        }
        printf("%d", s1.top());
        s1.pop();
        while(!s1.empty()) {
            printf(" => %d", s1.top());
            s1.pop();
        }
	} else {
	    printf("Time = %d; Distance = %d: ", mintime, minway);
	    stack<int> s1;
        int last = en;
        while(last != -1) {
            s1.push(last);
            last = pre[last];
        }
        printf("%d", s1.top());
        s1.pop();
        while(!s1.empty()) {
            printf(" => %d", s1.top());
            s1.pop();
        }
	}


	return 0;
}

　　差两个测试点没过 但是实在是写的头大 如果有旁友知道我错的点请私信我！谢谢！！！！

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原文地址：https://www.cnblogs.com/zlrrrr/p/10599541.html