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 <algorithm>
#include <cmath>
#include <climits>
#include <cstdio>
#include <cstring>
#include <fstream>
#include <iostream>
#include <list>
#include <map>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <vector>
#include <functional>

using namespace std;

//#define LOG(...) printf(__VA_ARGS__)
#define LOG(...)
#define FOR(i,a,b) for(int i=(a);i<=(b);++i)
#define REP(i,n) for(int i=0;i<(int)(n);++i)
#define ALL(a) (a).begin(),(a).end()
#define EXIST(s,e) ((s).find(e)!=(s).end())
#define SORT(c) sort((c).begin(),(c).end())

typedef long long ll;
typedef unsigned long long ull;
typedef vector<bool> vb;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<vb> vvb;
typedef vector<vi> vvi;
typedef vector<vll> vvll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define INF INT_MAX

struct P
{
    int n,cost,ticket;
    bool operator >(const P &p) const{
        return cost>p.cost;
    }
};

struct E{
    int to,cost;
};


int main() {
    int c,n,m,s,d;
    while(cin >> c >> n >> m >> s >> d,c|n|m|s|d){
        vector<vector<E>> edge=vector<vector<E>>(n+1);
        REP(i, m){
            int from,to,cost;
            cin >> from >> to >> cost;
            edge[from].push_back({to,cost});
            edge[to].push_back({from,cost});
        }

        int cost=INF;
        priority_queue<P, vector<P>, greater<P>> que;
        vvi town(n+1, vi(c+1, INF));

        que.push({s,0,c});
        while(!que.empty()){
            P p=que.top();que.pop();
            LOG("n:%d cost:%d tic:%d\n",p.n,p.cost,p.ticket);

            if(p.n==d){
                cost=p.cost;
                break;
            }

            REP(i, edge[p.n].size()){
                E e=edge[p.n][i];
                int ncost=p.cost+e.cost;
                if(town[e.to][p.ticket]>ncost){
                    LOG("afds n:%d cost:%d tic:%d\n",e.to,ncost,p.ticket);
                    town[e.to][p.ticket]=ncost;
                    que.push({e.to,ncost,p.ticket});
                }
                if(p.ticket>0){
                    ncost=p.cost+e.cost/2;
                    if(town[e.to][p.ticket-1]>ncost){
                        LOG("afds n:%d cost:%d tic:%d\n",e.to,ncost,p.ticket-1);
                        town[e.to][p.ticket-1]=ncost;
                        que.push({e.to,ncost,p.ticket-1});
                    }
                }
            }
        }

        cout << cost << endl;
    }
}

C++: #include <iostream>
#include <queue>
#include <vector>
#include <functional>

using namespace std;

const int INF = 10000000;

int solve( int city[101][101], int s, int d, int c, int n ){
	int dist[11][101];
	int history[101];

	for( int i = 0;i < 11;i++ ){
		for( int j = 0;j < 101;j++ ){
			dist[i][j] = INF;
		}
	}

	for( int i = 0;i < 101;i++ ){
		history[i] = 0;
	}

	for( int i = 0;i < 11;i++ ) dist[i][s] = 0;

	typedef pair<int,int> data;
	typedef pair<int,data> graph;
	priority_queue<graph,vector<graph>,greater<graph> > q;

	q.push( graph( 0, data( s, c ) ) );

	while( !q.empty() ){
		graph a = q.top();
		int u = a.second.first;
		int uc = a.second.second;
		q.pop();
		history[u] = 1;

		for( int i = 1;i <= n;i++ ){

			if( dist[uc][i] > dist[uc][u] + city[u][i] ){
				dist[uc][i] = dist[uc][u] + city[u][i];
				q.push( graph( dist[uc][i], data( i, uc ) ) );
			}

			if( uc && dist[uc - 1][i] > dist[uc][i] + city[u][i] / 2 ){
				dist[uc - 1][i] = dist[uc][u] + city[u][i] / 2;
				q.push( graph( dist[uc - 1][i], data( i, uc - 1 ) ) );
			}
		}
	}
	int answer = INF;
	for( int i = 0;i < 11;i++ ) answer = min( dist[i][d], answer );
	return answer;

}

int main(int argc, char const* argv[])
{
	int c,n,m,s,d;
	int city[101][101];

	while( cin >> c >> n >> m >> s >> d && c != 0 ){
		int a,b,f;
		for( int i = 0;i < 101;i++ ){
			for( int j = 0;j < 101;j++ ){
				city[i][j] = INF * 2;
			}
		}
		for( int i = 0;i < m;i++ ){
			cin >> a >> b >> f;
			city[a][b] = f;
			city[b][a] = f;
		}

		cout << solve( city, s, d, c, n ) << endl;
	}

	return 0;
}

C++: #include <iostream>
#include <vector>
#include <algorithm>
#include <queue>
#define INF 1000000000;
#define dis first
#define mati second.first
#define sta  second.second
using namespace std;
typedef pair <int ,pair <int,int> > P;
vector <P> mp[102];
int c,n,m,start,goal;

int dijkstra() {
  int flg[12][102] = {},dis[12][102];
  for(int j=0;j<=c;j++)
    for(int i=0;i<=n;i++) dis[j][i] = -INF;

  for(int j=1;j<=c;j++)flg[j][start] = 1;

  priority_queue <P> Q;
  P t;
  t.dis = 0, t.mati = start, t.sta = 0;
  Q.push(t);

  while(!Q.empty()) {
    t = Q.top(),Q.pop();
    if(flg[t.sta][t.mati] == 1) continue;
    flg[t.sta][t.mati] = 1;
    for(int i=0;i<mp[t.mati].size();i++){
      int ndis = mp[t.mati][i].dis;
      int nmati = mp[t.mati][i].mati;
      int nsta = t.sta+1;
      P tt;
      if(dis[t.sta][nmati] < t.dis-ndis && flg[t.sta][nmati] == 0) {
	tt.dis = t.dis-ndis,tt.mati = nmati,tt.sta = t.sta;
	dis[t.sta][nmati] = t.dis-ndis;
	Q.push(tt);
      }
      if(nsta<= c&&dis[nsta][nmati]<t.dis-ndis/2 && flg[nsta][nmati]==0){
	tt.dis = t.dis - ndis/2 , tt.mati = nmati, tt.sta = nsta;
	dis[nsta][nmati] = t.dis-ndis/2;
	Q.push(tt);
      }
    }
  }

  int ans = -INF;
  for(int j=0;j<=c;j++)ans = max(ans,dis[j][goal]);
   
  return -ans;
}


int main() {
  while(1) {
    cin >> c >> n >> m >> start >> goal;
    if(c==0&&n==0&&m==0&&start==0&&goal==0) break;

    for(int i=0;i<=n;i++) mp[i].clear();
    for(int i=0;i<m;i++) {
      int a,b,f;
      cin >> a >> b >> f;
      P t;
      t.dis = f,  t.mati = b , t.sta = 0;
      mp[a].push_back(t);
      t.mati = a;
      mp[b].push_back(t);
    }

    cout << dijkstra() << endl;
  }

  return 0;
}