This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "crocodile.h"
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
struct edge
{
int to;
ll w;
};
vector<edge> adjList[100005];
ll first[100005]; //Shortest path to that node from an exit
ll second[100005]; //Second shortest path to that node from an exit
struct node
{
int data;
ll key;
};
node A[1000006];
int heapSize=0;
int leftNode(int i)
{
return i*2;
}
int rightNode(int i)
{
return i*2+1;
}
int parent(int i)
{
return i/2;
}
void minHeapify(int i)
{
int L=leftNode(i);
int R=rightNode(i);
int best;
if(L<=heapSize && A[L].key<A[i].key)
best=L;
else
best=i;
if(R<=heapSize && A[R].key<A[best].key)
best=R;
if(best!=i){
swap(A[i],A[best]);
minHeapify(best);
}
}
void decreaseKey(int i,int key)
{
if(A[i].key<key) return;
A[i].key=key;
while(i>1 && A[i].key<A[parent(i)].key){
swap(A[i],A[parent(i)]);
i=parent(i);
}
}
void heapInsert(node x)
{
A[++heapSize]=x;
A[heapSize].key=1000000000;
decreaseKey(heapSize,x.key);
}
node extractMin()
{
node minimum=A[1];
A[1]=A[heapSize--];
minHeapify(1);
return minimum;
}
int degree[100005];
void relax(int u,int v,ll w)
{
if(second[u]+w<first[v]){
second[v]=first[v];
first[v]=second[u]+w;
node x={v,second[v]};
if(degree[v]>=2)
heapInsert(x);
}
else if(second[u]+w<second[v]){
second[v]=second[u]+w;
node x={v,second[v]};
if(degree[v]>=2)
heapInsert(x);
}
}
int p[100005];
void dijkstra(int n,int k)
{
for(int i=0;i<n+1;i++){
first[i]=second[i]=INT_MAX;
}
for(int i=0;i<k;i++){
int u=p[i];
first[u]=second[u]=0;
node x={u,0};
heapInsert(x);
}
while(heapSize){
node u=extractMin();
for(edge e: adjList[u.data]){
degree[e.to]++;
relax(u.data,e.to,e.w);
}
}
}
int travel_plan(int N, int M, int R[][2], int L[], int K, int P[])
{
for(int i=0;i<M;i++){
int u=R[i][0];
int v=R[i][1];
edge e={v,L[i]};
adjList[u].push_back(e);
e.to=u;
adjList[v].push_back(e);
}
for(int i=0;i<K;i++){
p[i]=P[i];
}
dijkstra(N,K);
int secondBest=second[0];
return secondBest;
}
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