Go: package main

import (
	"container/heap"
	"fmt"
)

type Node struct {
	NowPosition          int
	DiscountTicketTCount int
	Amount               int
}

type PriorityQueueNode []*Node

func (pq PriorityQueueNode) Len() int {
	return len(pq)
}

func (pq PriorityQueueNode) Less(i, j int) bool {
	return pq[i].Amount < pq[j].Amount
}

func (pq PriorityQueueNode) Swap(i, j int) {
	pq[i], pq[j] = pq[j], pq[i]
}

func (pq *PriorityQueueNode) Push(node interface{}) {
	*pq = append(*pq, node.(*Node))
}

func (pq *PriorityQueueNode) Pop() interface{} {
	old := *pq
	n := len(old)
	item := old[n-1]
	*pq = old[0 : n-1]
	return item
}

type Point struct {
	NextPoint int
	Fee       int
}

func main() {
	var c, n, m, s, d int
	var a, b, f int

	for {
		fmt.Scan(&c, &n, &m, &s, &d)
		if c == 0 && n == 0 && m == 0 && s == 0 && d == 0 {
			break
		}
		s--
		d--
		pointMap := make([][]Point, n)
		for i := 0; i < n; i++ {
			pointMap[i] = make([]Point, 0)
		}
		for i := 0; i < m; i++ {
			fmt.Scan(&a, &b, &f)
			a--
			b--
			pointMap[a] = append(pointMap[a], Point{NextPoint: b, Fee: f})
			pointMap[b] = append(pointMap[b], Point{NextPoint: a, Fee: f})
		}
		pq := make(PriorityQueueNode, 0)
		start := Node{NowPosition: s, DiscountTicketTCount: c, Amount: 0}
		heap.Push(&pq, &start)
		for len(pq) != 0 {
			now := heap.Pop(&pq).(*Node)
			if now.NowPosition == d {
				fmt.Println(now.Amount)
				break
			}
			for _, v := range pointMap[now.NowPosition] {
				next := &Node{v.NextPoint, now.DiscountTicketTCount, now.Amount + v.Fee}
				heap.Push(&pq, next)
				if now.DiscountTicketTCount > 0 {
					next = &Node{v.NextPoint, now.DiscountTicketTCount - 1, now.Amount + v.Fee/2}
					heap.Push(&pq, next)
				}
			}
		}
	}
}

C++: #include<iostream>
#include<vector>
#include<algorithm>
#include<queue>
#include<climits>

using namespace std;

typedef pair<int,pair<int,int> >P;

struct Edge{
  int to,cost;
  Edge(int _to, int _cost):to(_to), cost(_cost){};
};

int minCost[110][12];
vector<Edge> edge[110];
static const int INF = INT_MAX;

int c,n,m,s,d;

int dijkstra(void){
  priority_queue<P, vector<P>, greater<P> >que;
  que.push(make_pair(0,make_pair(s,c)));

  for(int i=0;i<=n;i++)
    for(int j=0;j<=n;j++)
      minCost[i][j]=INF;

  while(!que.empty()){
    P p = que.top();
    que.pop();

    if(p.second.first==d)return p.first;
    
    for(int i=0;i<edge[p.second.first].size();i++){
      Edge e = edge[p.second.first][i];
      if(p.first+e.cost < minCost[e.to][p.second.second]){
	minCost[e.to][p.second.second] = p.first+e.cost;
	que.push(make_pair(p.first+e.cost,make_pair(e.to,p.second.second)));
      }
    }
    
    if(p.second.second==0)continue;
    
    for(int j=0;j<edge[p.second.first].size();j++){
      Edge e = edge[p.second.first][j];
      if(p.first+e.cost/2 < minCost[e.to][p.second.second-1]){
	minCost[e.to][p.second.second-1] = p.first+e.cost/2;
	que.push(make_pair(p.first+e.cost/2,make_pair(e.to,p.second.second-1)));
      }
    }
  }
  return -1;
}

int main(void){
  int a,b,f;

  while(cin >> c >> n >> m >> s >> d,c|n|m|s|d){

    for(int i=0;i<=n;i++)edge[i].clear();

    for(int i=0;i<m;i++){
      cin >> a >> b >> f;
      edge[a].push_back(Edge(b,f));
      edge[b].push_back(Edge(a,f));
    }

    cout << dijkstra() << endl;
  }

  return 0;
}

C++: // AOJ 0212
#define _CRT_SECURE_NO_WARNINGS
#include<cstdio>
#include<algorithm>
#include<functional>
#include<vector>
#include<queue>
#define rep(i,a) for( int i = 0; i != (a); ++i )

typedef std::pair<int, int> P;
typedef std::pair<P, int> PP;

const int INF = 1 << 30;

int c, n, m, s, d;	
std::vector<P> G[100];
int dist[100][11];

int dijkstra()
{
	std::fill( (int*)dist, (int*)(dist+100), INF );
	dist[s][0] = 0;
	std::priority_queue<PP, std::vector<PP>, std::greater<PP> > pque;
	pque.push( PP( P( s, 0 ), 0 ) );
	while( !pque.empty() )
	{
		PP p = pque.top(); pque.pop();
		int v = p.first.first, cost = p.first.second, tic = p.second;

		if( dist[v][tic] < cost )
			continue;

		rep( i, G[v].size() )
		{
			P &e = G[v][i];

			if( tic < c && dist[e.first][tic+1] > dist[v][tic]+e.second/2 )
			{
				dist[e.first][tic+1] = dist[v][tic]+e.second/2;
				pque.push( PP( P( e.first, dist[e.first][tic+1] ), tic+1 ) );
			}

			if( dist[e.first][tic] > dist[v][tic]+e.second )
			{
				dist[e.first][tic] = dist[v][tic]+e.second;
				pque.push( PP( P( e.first, dist[e.first][tic] ), tic ) );
			}
		}
	}

	return *std::min_element( dist[d], dist[d]+11 );
}

int main()
{
	while( scanf( "%d%d%d%d%d", &c, &n, &m, &s, &d ), c|n|m|s|d )
	{
		--s; --d;
		rep( i, 100 )
			G[i].clear();

		rep( i, m )
		{
			int a, b, f;
			scanf( "%d%d%d", &a, &b, &f );
			--a; --b;
			G[a].push_back( P( b, f ) );
			G[b].push_back( P( a, f ) );
		}

		printf( "%d\n", dijkstra() );
	}

	return 0;
}

C++: #include <iostream>
#include <queue>
#include <algorithm>
#include <vector>
#define INF 10e6 
using namespace std;

int c,n,m,s,d;

int cost[101][101];
int state[101][11];
struct node{
	int c;  //cost
	int n;	//number
	int t;	//times
	bool operator >(node b)const{
    return c > b.c;
	}
};




int dijkstra(int s,int g){
	node start;
	start.c=0,start.n=s,start.t=c;
	priority_queue<node,vector<node>,greater<node> > q;
	q.push(start);
	while(!q.empty()){
		node cur=q.top();
		q.pop();
		if(cur.n == g){
			int ans=cur.c;
			return ans;
		}
		if(state[cur.n][cur.t]>cur.c)
			state[cur.n][cur.t]=cur.c;
		else
			 continue;
		for(int i=1;i<=n;i++){
			if(cur.n== i)
				continue;
			node next;
			if(cur.t > 0){
				next.c=cur.c+(cost[cur.n][i]/2);
				next.n=i;
				next.t=cur.t-1;
				q.push(next);
			}
			next.c=cur.c+cost[cur.n][i];
			next.n=i;
			next.t=cur.t;
			q.push(next);
		}
	} 
	return INF;
}
int main(void){
	while(cin >> c >> n >> m >> s >> d,c|n|m|s|d){
		for(int i=1;i<=n;i++)
			for(int j=1;j<=c;j++)
				state[i][j]=INF;
		for(int i=1;i<=n;i++)
			for(int j=1;j<=n;j++)
				cost[i][j]=INF;
		int a,b,f;
		for(int i=0;i<m;i++){
			cin >> a >> b >> f;
			cost[a][b]=cost[b][a]=f;
		}
		int ans=dijkstra(s,d);
		cout << ans << endl;
	}
	return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <queue>
using namespace std;

#define INF ((int)1e9)

struct Edge {
  int to, cost;
  Edge(int t, int c) : to(t), cost(c) {}
};

typedef pair<int, int> Pii;
typedef pair<int, Pii> Piii; // cost, cnum, node

vector<Edge> G[100];
int memo[100][10];

int dijkstra(int src, int dst, int cnum) {
  
  fill(memo[0], memo[0]+1000, INF);
  
  priority_queue<Piii> pq;
  memo[src][cnum] = 0;
  pq.push(Piii(0, Pii(cnum, src)));
  while(!pq.empty()) {
    const Piii get = pq.top(); pq.pop();
    int cost = get.first;
    int cn = get.second.first;
    int now = get.second.second;
    
    for(int i=0; i<G[now].size(); i++) {
      int next = G[now][i].to;
      int add_c = G[now][i].cost;
      if(memo[next][cn] > cost + add_c) {
	pq.push(Piii(cost+add_c, Pii(cn, next)));
	memo[next][cn] = cost + add_c;
      }
      if(cn-1<0) continue;
      add_c /= 2;
      if(memo[next][cn-1] > cost + add_c) {
	pq.push(Piii(cost+add_c, Pii(cn, next)));
	memo[next][cn-1] = cost + add_c;
      }
    }
  }
  
  return *min_element(memo[dst], memo[dst]+10);
}

int main() {
  int C, N, M, S, D;
  while(cin >> C >> N >> M >> S >> D && (N|M)) {
    for(int i=0; i<N; i++) {
      G[i].clear();
    }
    for(int i=0; i<M; i++) {
      int a, b, c; cin >> a >> b >> c; a--, b--;
      G[a].push_back(Edge(b, c));
      G[b].push_back(Edge(a, c));
    }
    
    S --, D --;
    cout << dijkstra(S, D, C) << endl;
  }
  
  return 0;
}