#include <iostream>
#include <stdio.h>
#include <cstring>
#include <string>
#include <queue>
#include <stack>
using namespace std;
#define N 205
#define M 1005
#define fill(x, y) memset(x, y, sizeof(x))
#define LL long long
#define min(x, y) ((x) < (y) ? (x) : (y))
const LL INF = 1e+18;
LL state[N];
int ls[M], n, m, k, st, ed, path[N];
int vexnum, edge;
bool exits[N];
struct dis
{
int to, w, next;
}e[M];
int l = 0;
struct cmp
{
int operator()(int a, int b)
{
return state[a] > state[b];
}
};
bool check(int Vexnum, int edge) {
if (Vexnum <= 0 || edge <= 0 || ((Vexnum * (Vexnum - 1)) / 2) < edge)
return false;
return true;
}
inline int read()
{
int x = 0, p = 1; char ch = getchar();
while (ch < '0' || ch > '9') { if (ch == '-') p = -1; ch = getchar(); }
while (ch >= '0' && ch <= '9') { x = (x << 1) + (x << 3) + ch - '0'; ch = getchar(); }
return x * p;
}
void write(LL x)
{
if (x < 10)
{
putchar(x + '0');
return;
}
else
{
write(x / 10);
write(x % 10);
}
}
void print(int s)
{
stack<int> q;
for(int i = 1;i <= vexnum; i++)
{
int p = i;
while( path[p] != -1)
{
q.push(p);
p = path[p];
}
q.push(p);
cout << s << "-->" << i << " ";
cout << "dis" << ":" << state[i] << " " << s;
q.pop();
while(!q.empty())
{
cout<<"-->"<<q.top();
q.pop();
}
cout<<endl;
}
}
void creadGrath()
{
printf("输入各条边:\n");
for (int i = 1; i <= edge; i++)
{
int x = read(), y = read(), w = read();
e[++l] = dis {y, w, ls[x]};
ls[x] = l;
e[++l] = dis{ x, w, ls[y] };
ls[y] = l;
}
}
void Dij(int st)
{
memset(path, -1, sizeof(path));
priority_queue<int, vector<int>, cmp > t;
for (int i = 1; i <= vexnum; i++)
state[i] = INF;
exits[st] = 1;
t.push(st);
state[st] = 0;
while (!t.empty())
{
int now = t.top();
t.pop();
for (int i = ls[now]; i; i = e[i].next)
{
if (state[e[i].to] > state[now] + e[i].w)
{
path[e[i].to] = now;
state[e[i].to] = state[now] + e[i].w;
if (!exits[e[i].to])
{
exits[e[i].to] = 1;
t.push(e[i].to);
}
}
}
exits[now] = 0;
}
}
int main()
{
printf("输入图的顶点个数和边的条数:\n");
vexnum = read();
edge = read();
while (!check(vexnum, edge))
{
printf("输入的数值不合法,请重新输入\n");
vexnum = read();
edge = read();
}
creadGrath();
for (int i = 1; i <= vexnum; i++)
{
Dij(i);
print(i);
}
}
堆优化dij+路径输出
发布于 2021-01-22 711 次阅读
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