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
}

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)
					}
				}
			}
		}
	}
}

C++: #include<iostream>
using namespace std;
#include<vector>
#include<queue>
#include<math.h>
struct crq{
	int cost;
	int ticket;
	int now;

	bool operator >(const crq& p) const{
	return cost > p.cost;
	}
};//cost root que
struct root{
	int s;
	int g;
	int cost;
};

priority_queue<crq,vector<crq>,greater<crq>> q;
vector<root> vr;
int c;
int n;
int m;
int s;
int d;
int ans;
bool townSearched[100];
unsigned int townMin[100][11];
int main(){
	while(cin>>c>>n>>m>>s>>d, c|n|m|s|d){
		vr.clear();
		ans=INT_MAX;
		while(!q.empty())q.pop();
		for(int  i=0;i<100;i++){
			townSearched[i]=false;
			for(int  j=0;j<11;j++)townMin[i][j]=INT_MAX;
		}
		for(int i=0;i<m;i++){
			root r;
			cin>>r.s;
			r.s--;
			cin>>r.g;
			r.g--;
			cin>>r.cost;
			vr.push_back(r);
		}
		townMin[s-1][c]=0;
		crq start;
		start.cost=0;
		start.ticket=c;
		start.now=s-1;
		q.push(start);
		while(1){
			crq crq2=q.top();q.pop();
			if(crq2.now==d-1){
				ans=crq2.cost;
				break;
			}
			

			for(int i=0;i<m;i++){
				if(vr.at(i).s==crq2.now){
					if(!townSearched[vr.at(i).g]&&townMin[vr.at(i).g][crq2.ticket]>crq2.cost+vr.at(i).cost){
						crq add;
						add.cost=crq2.cost+vr.at(i).cost;
						add.ticket=crq2.ticket;
						add.now=vr.at(i).g;
						townMin[vr.at(i).g][crq2.ticket]=crq2.cost+vr.at(i).cost;
						q.push(add);
					}

					if(!townSearched[vr.at(i).g]&&crq2.ticket>0&&townMin[vr.at(i).g][crq2.ticket-1]>crq2.cost+vr.at(i).cost/2){
						crq add;
						add.cost=crq2.cost+vr.at(i).cost/2;
						add.ticket=crq2.ticket-1;
						add.now=vr.at(i).g;
						townMin[vr.at(i).g][crq2.ticket]=crq2.cost+vr.at(i).cost/2;
						q.push(add);
					}

				}
				if(vr.at(i).g==crq2.now){
					if(!townSearched[vr.at(i).s]&&townMin[vr.at(i).s][crq2.ticket]>crq2.cost+vr.at(i).cost){
						crq add;
						add.cost=crq2.cost+vr.at(i).cost;
						add.ticket=crq2.ticket;
						add.now=vr.at(i).s;
						townMin[vr.at(i).s][crq2.ticket]=crq2.cost+vr.at(i).cost;
						q.push(add);
					}

					if(!townSearched[vr.at(i).s]&&crq2.ticket>0&&townMin[vr.at(i).s][crq2.ticket-1]>crq2.cost+vr.at(i).cost/2){
						crq add;
						add.cost=crq2.cost+vr.at(i).cost/2;
						add.ticket=crq2.ticket-1;
						add.now=vr.at(i).s;
						townMin[vr.at(i).s][crq2.ticket]=crq2.cost+vr.at(i).cost/2;
						q.push(add);
					}

				}
			}
			townSearched[crq2.now]=true;
		}
		cout<<ans<<endl;
	}
	return 0;
}

C++: #include<stdio.h>
#include<string.h>
#include<utility>
#include<queue>
#include<algorithm>
using namespace std;
#define INF 100000000
int C,N,M,S,D,g1[101][101],g2[101][101],s,t,c,d[101],u[101];
typedef struct P{int p,c,t;}P;
struct Order
{
	bool operator ()(P const& a, P const& b) const
	{
		return a.c==b.c?a.t<b.t:a.c>b.c;
	}
};

P tmp,tmp2;
priority_queue<P,vector<P>,Order>Q;
int main()
{
	for(;scanf("%d%d%d%d%d",&C,&N,&M,&S,&D),C;)
	{
		for(int i=0;i<=N;i++)
		{
			d[i]=INF;
			for(int j=0;j<=N;j++)
				g1[i][j]=g2[i][j]=INF;
		}
		for(int i=0;i<M;i++)
		{
			scanf("%d%d%d",&s,&t,&c);
			if(g1[s][t]>c)
			{
				g1[s][t]=g1[t][s]=c;
				g2[s][t]=g2[t][s]=c/2;
			}
		}
		d[S]=0;
		tmp.c=0;tmp.p=S;tmp.t=C;
		Q.push(tmp);
		for(;!Q.empty();)
		{
			tmp=Q.top(),Q.pop();
			for(int i=1;i<=N;i++)
			{
				int nc=d[tmp.p]+g1[tmp.p][i];
				if((d[i]==nc&&u[i]>tmp.p)||d[i]>nc)
				{
					tmp2.c=d[i]=d[tmp.p]+g1[tmp.p][i];
					tmp2.p=i;
					tmp2.t=tmp.t;
					Q.push(tmp2);
				}
				nc=d[tmp.p]+g2[tmp.p][i];
				if(tmp.t>0&&((d[i]==nc&&u[i]>tmp.p-1)||d[i]>nc))
				{
					tmp2.c=d[i]=d[tmp.p]+g2[tmp.p][i];
					tmp2.p=i;
					tmp2.t=tmp.t-1;
					Q.push(tmp2);
				}
			}
		}
		printf("%d\n",d[D]);
	}
}

C++: #include<iostream>
#include<vector>
#include<algorithm>
#include<queue>
using namespace std;
const int INF=1e9;
struct edge{
    int to,cost;
    edge(int a,int b):to(a),cost(b){}
};
struct data{
    int At,cost,cnt;
    data(int a,int b,int c):At(a),cost(b),cnt(c){}
    bool operator>(const data &d)const{
        return (cost>d.cost);
    }
};
int main(){
    int c,n,m,s,d;
    while(cin>>c>>n>>m>>s>>d){
        if(!(c||n||m||s||d))break;
        s--;d--;
        vector<vector<edge> >V(n);
        vector<vector<int> >D(n,vector<int>(c+1,INF));
        for(int i=0;i<m;i++){
            int a,b,f;
            cin>>a>>b>>f;
            a--;b--;
            V[a].push_back(edge(b,f));
            V[b].push_back(edge(a,f));
        }

        priority_queue<data,vector<data>,greater<data> >Q;
        Q.push(data(s,0,0));

        while(!Q.empty()){
            data latte=Q.top();Q.pop();
            int At=latte.At,cost=latte.cost,cnt=latte.cnt;
            if(cnt>c)continue;
            if(D[At][cnt]<cost)continue;
            D[At][cnt]=cost;
            for(int i=0;i<V[At].size();i++){
                edge e=V[At][i];
                Q.push(data(e.to,cost+e.cost,cnt));
                Q.push(data(e.to,cost+e.cost/2,cnt+1));
            }
        }
        cout<<*min_element(D[d].begin(),D[d].end())<<endl;
    }
    return 0;
}