Go: package main

import (
	"container/heap"
	"fmt"
	"runtime"
)

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
}

type Memo struct {
	NowPoint             int
	DiscountTicketTCount 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, n)
		}
		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, m)
		start := Node{NowPosition: s, DiscountTicketTCount: c, Amount: 0}
		heap.Push(&pq, &start)
		memo := make(map[Memo]struct{})
		for len(pq) != 0 {
			now := heap.Pop(&pq).(*Node)
			if now.NowPosition == d {
				fmt.Println(now.Amount)
				break
			}
			memo[Memo{NowPoint: now.NowPosition, DiscountTicketTCount: now.DiscountTicketTCount}] = struct{}{}
			for _, v := range pointMap[now.NowPosition] {
				next := &Node{v.NextPoint, now.DiscountTicketTCount, now.Amount + v.Fee}
				if _, ok := memo[Memo{NowPoint: v.NextPoint, DiscountTicketTCount: now.DiscountTicketTCount}]; !ok {
					heap.Push(&pq, next)
				}
				if now.DiscountTicketTCount > 0 {
					next = &Node{v.NextPoint, now.DiscountTicketTCount - 1, now.Amount + v.Fee/2}
					if _, ok := memo[Memo{NowPoint: v.NextPoint, DiscountTicketTCount: now.DiscountTicketTCount}]; !ok {
						heap.Push(&pq, next)
					}
				}
			}
		}
		runtime.GC()
	}
}

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

typedef struct edge{
  int to, cost;
}edge;

using pii = pair<int, int>;
using piii = pair<int, pii>;//cost, c, pos

int main(){
  int c, n, m, s, d;
  while(std::cin >> c >> n >> m >> s >> d){
    if(c == 0)break;
    s--, d--;
    vector<vector<edge> > G(n);
    for (int i = 0; i < m; i++) {
      int a, b, f;
      std::cin >> a >> b >> f;
      a--, b--;
      G[a].push_back((edge){b, f});
      G[b].push_back((edge){a, f});
    }
    priority_queue<piii, vector<piii>, greater<piii> > que;
    que.push(piii(0, pii(c, s)));
    vector<vector<int> > dist(c + 1, vector<int>(n, 1e9));
    dist[c][s] = 0;
    while(not que.empty()){
      int cc = que.top().first;
      int remain = que.top().second.first;
      int v = que.top().second.second;
      // std::cout << cc << " " << remain << " " << v << std::endl;
      que.pop();
      for (int i = 0; i < G[v].size(); i++) {
        int u = G[v][i].to;
        int add = G[v][i].cost;
        // std::cout << u << std::endl;
        if(dist[remain][u] > cc + add){
          dist[remain][u] = cc + add;
          que.push(piii(cc + add, pii(remain, u)));
        }
        if(remain > 0 and dist[remain - 1][u] > cc + add/2){
          dist[remain - 1][u] = cc + add/2;
          que.push(piii(cc + add/2, pii(remain - 1, u)));
        }
      }
    }
    int ans = 1e9;
    for (int i = 0; i <= c; i++) ans = min(ans, dist[i][d]);
    std::cout << ans << std::endl;
  }
  return 0;
}

C++: #include <bits/stdc++.h>
#include<stdio.h>
using namespace std;
#define FOR(i,k,n) for(int i = (k); i < (n); i++)
#define REP(i,n) FOR(i,0,n)
#define ALL(a) begin(a),end(a)
#define MS(m,v) memset(m,v,sizeof(m))
#define D10  fixed<<setprecision(10)
typedef vector<int> vi;
typedef vector<string> vs;
typedef pair<int, int> P;
typedef long long ll;
const ll INF = 114514810;
const ll MOD = 1000000007;
const double EPS = 1e-8;
const double PI = acos(-1.0);
struct edge
{
	int from, to, cost;
	bool operator < (const edge& e) const { return cost < e.cost; }
	bool operator >(const edge& e) const { return cost > e.cost; }
};
int dx[] = { -1, 0, 0, 1 }; int dy[] = { 0, -1, 1, 0 };
bool valid(int x, int y, int h, int w) { return (x >= 0 && y >= 0 && x < h&&y < w); }
///*************************************************************************************///
///*************************************************************************************///
///*************************************************************************************///

int V;
int d[2000];
vector<vector<edge>> es;

void dijkstra(int s)
{
	fill(ALL(d), INF);
	d[s] = 0;
	priority_queue<P, vector<P>, greater<P>> que;
	que.push(P(0, s));
	while (!que.empty())
	{
		P p = que.top(); que.pop();
		int v = p.second;
		if (d[v] < p.first) continue;
		REP(i, es[v].size())
		{
			edge e = es[v][i];
			if (d[e.to] > d[v] + e.cost)
			{
				d[e.to] = d[v] + e.cost;
				que.push(P(d[e.to], e.to));
			}
		}
	}
}

int main()
{
	int c, n, m, s, g;
	while (cin >> c >> n >> m >> s >> g, c)
	{
		V = n;
		s--; g--;
		es.clear();
		es.resize(c*n+n);
		REP(i, n)
		{
			int a, b, f;
			cin >> a >> b >> f;
			a--; b--;
			REP(j, c+1) es[a + j*n].push_back(edge{ a + j*n, b + j*n, f });
			REP(j, c) es[a + (j+1)*n].push_back(edge{ a + (j+1)*n, b + j*n, f/2 });
			REP(j, c + 1) es[b + j*n].push_back(edge{ b + j*n, a + j*n, f });
			REP(j, c) es[b + (j + 1)*n].push_back(edge{ b + (j + 1)*n, a + j*n, f / 2 });
		}
		dijkstra(s + c*n);
		int ans = INF;
		REP(i, c + 1) ans = min(ans, d[g + i*n]);
		cout << ans << endl;
	}

	return 0;
}

C++: #include <bits/stdc++.h>
#define FOR(i,a,b) for(int i=(a);i<(b);i++)
#define RFOR(i,a,b) for(int i=(b) - 1;i>=(a);i--)
#define REP(i,n) for(int i=0;i<(n);i++)
#define RREP(i,n) for(int i=n-1;i>=0;i--)

#define PB push_back
#define INF INT_MAX/3
#define ALL(a) (a).begin(),(a).end()
#define RALL(a) (a).rbegin(),(a).rend()
#define CLR(a) memset(a,0,sizeof(a))

typedef long long int ll;

using namespace std;

int c,n,m,s,d;
int rosen[101][101] = {-1};
int saiki(int p,vector<int> st,vector<bool> u){
    int ans = INF;
    if(p == d){
	sort(RALL(st));
	int tc = min(c,(int)(st.size()));
	REP(i,c){
	    st[i] /= 2;
	}
	int sum = 0;
	REP(i,st.size()){
	    sum += st[i];
	}
	return sum;
    }
    FOR(i,1,n+1){
	if(!u[i] && rosen[p][i] > 0){
	    vector<int> temp = st;
	    vector<bool> utemp = u;
	    temp.PB(rosen[p][i]);
	    utemp[i] = true;
	    ans = min(ans,saiki(i,temp,utemp));
	}
    }
    return ans;
}

int main(){
    while(true){
	cin >> c >> n >> m >> s >> d;
	if(c==0&&n==0&&m==0&&s==0&&d==0) break;
	memset(rosen,-1,sizeof(rosen));
	REP(i,m){
	    int a,b,f;
	    cin >> a >> b >> f;
	    rosen[a][b] = f;
	    rosen[b][a] = f;
	}
	vector<bool>  used(n+1,false);
	vector<int> nanika;
	used[s] = true;
	cout << saiki(s, nanika ,used) << endl;
    }
    return 0;
}