A - Til the Cows Come Home
SPFA
算法采用图的存储结构是邻接表,方法是动态优化逼近法。算法中设立了一个先进先出的队列Queue用来保存待优化的顶点,优化时从此队列里顺序取出一个点w,并且用w点的当前路径D[W]去优化调整其它各点的路径值D[j],若有调整,即D[j]的值改小了,就将J点放入Queue队列以待继续进一步优化。反复从Queue队列里取出点来对当前最短路径进行优化,直至队空不需要再优化为止,此时D数组里就保存了从源点到各点的最短路径值
///////////////////////////////////////////////////////////////////////////
竟然一遍过......好神奇的感觉,写起来也简单了不少
#include<algorithm>
#include<queue>
#include<stdio.h>
#include<string.h>
#include<vector>
using namespace std; const int maxn = ;
const int oo = 0xfffffff; struct node
{
int y, len;
node(int y, int len):y(y), len(len){}
};
vector<node> G[maxn];
int v[maxn]; void Spfa(int s)
{
queue<int> Q; Q.push(s); while(Q.size())
{
s = Q.front();Q.pop(); int len = G[s].size();
for(int i=; i<len; i++)
{
node q = G[s][i];
if(v[s]+q.len < v[q.y])
{
v[q.y] = v[s]+q.len;
Q.push(q.y);
}
}
}
} int main()
{
int T, N; while(scanf("%d%d", &T, &N) != EOF)
{
int i, a, b, len; for(i=; i<T; i++)
{
scanf("%d%d%d", &a, &b, &len);
G[a].push_back(node(b, len));
G[b].push_back(node(a, len));
} for(i=; i<=N; i++)
v[i] = oo;
v[] = ; Spfa(); printf("%d\n", v[N]); for(i=; i<=N; i++)
G[i].clear();
} return ;
}
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