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++: #define _USE_MATH_DEFINES
#define INF 10000000
#include <iostream>
#include <sstream>
#include <cmath>
#include <algorithm>
#include <queue>
#include <stack>
#include <limits>
#include <map>
#include <string>
#include <cstring>
#include <set>
#include <deque>
#include <bitset>
#include <list>

using namespace std;

typedef long long ll;
typedef pair <int,int> P;
typedef pair <int,P > PP;

static const double eps = 1e-8;

int path[101][101];
int used[101][11];

void bfs(int s,int d,int n,int c){
	priority_queue<PP,vector<PP>,greater<PP> > que;
	que.push(PP(0,P(s,c)));
	used[s][c] = 0;

	while(!que.empty()){
		int cost = que.top().first;
		int src = que.top().second.first;
		int ticket = que.top().second.second;
		que.pop();

		for(int dst=1;dst<=n;dst++){
			if(used[dst][ticket] > cost + path[src][dst]){
				used[dst][ticket] = cost + path[src][dst];
				que.push(PP(cost + path[src][dst],P(dst,ticket)));
			}

			if(ticket > 0 && used[dst][ticket-1] > cost + path[src][dst]/2){
				used[dst][ticket-1] = cost + path[src][dst]/2;
				que.push(PP(cost + path[src][dst]/2,P(dst,ticket-1)));
			}
		}
	}
}

int main(){
	//c:number of tickets
	//n:number of towns
	//m:number of buses
	//s:source
	//d:distination
	int c,n,m,s,d;
	while(~scanf("%d %d %d %d %d",&c,&n,&m,&s,&d)){
		if(c==n && n==m && m==s && s==d && d==0) break;
		memset(path,0x3,sizeof(path));
		memset(used,0x3,sizeof(used));

		for(int i=0;i<m;i++){
			int a,b,f;
			scanf("%d %d %d",&a,&b,&f);
			path[a][b] = path[b][a] = min(path[a][b],f);
		}

		bfs(s,d,n,c);
		printf("%d\n",used[d][0]);
	}
}

C++: #include <iostream>
#include <vector>
#include <algorithm>
#include <numeric>
#include <set>
#include <map>
#include <string>
#include <stack>
#include <queue>
#include <cmath>
#include <cstdio>
#include <istream>
#include <sstream>
#include <iomanip>
#include <iterator>
#include <climits>
using namespace std;

typedef ostringstream OSS;
typedef istringstream ISS;

typedef vector<int> VI;
typedef vector< VI > VVI;

typedef long long LL;

typedef pair<int, int> PII;
typedef vector<PII> VPII;

#define X first
#define Y second

typedef pair<int, pair<int, int>> STATE;

const int INF = INT_MAX / 4;

int main(void) {
	int c, n, m, s, d;

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

		VVI es(n, VI(n, INF));
		for (int i = 0; i < m; i++) {
			int a, b, f;
			cin >> a >> b >> f;
			es[a - 1][b - 1] = f;
			es[b - 1][a - 1] = f;
		}

		VVI distance(n, VI(c + 1, INF));	// node, ticket
		distance[s][c] = 0;
		priority_queue<STATE> q; // cost, node, ticket
		q.push(STATE(0, make_pair(s, c)));

		while (q.size()) {
			int cost = q.top().first;
			int node = q.top().second.first;
			int ticket = q.top().second.second;
			q.pop();

			if (cost > distance[node][ticket]) {
				continue;
			}

			for (int i = 0; i < n; i++) if (es[node][i] != INF) {
				int next_cost;

				// not use ticket
				next_cost = distance[node][ticket] + es[node][i];
				if (distance[i][ticket] > next_cost) {
					distance[i][ticket] = next_cost;
					q.push(STATE(next_cost, make_pair(i, ticket)));
				}

				// ticket - 1
				if (ticket) {
					next_cost = distance[node][ticket] + es[node][i] / 2;
					if (distance[i][ticket - 1] > next_cost) {
						distance[i][ticket - 1] = next_cost;
						q.push(STATE(next_cost, make_pair(i, ticket - 1)));
					}
				}
			}
		}

		cout << *min_element(distance[d].begin(), distance[d].end()) << endl;
	}

	return 0;
}

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

int calcCost(int c, int n, vector<int> path, vector<int> rt){
	priority_queue<int> costs;
	for(int i=1; i<rt.size(); i++){
		costs.push(path[rt[i]+n*rt[i-1]]);
	}
	int total = 0;
	while(costs.size() && c--){
		total += costs.top() / 2;
		costs.pop();
	}
	while(costs.size()){
		total += costs.top();
		costs.pop();
	}
	return total;
}
int main(){
	for(;;){
		int c,n,m,s,d;
		cin>>c>>n>>m>>s>>d;
		if(c+n+m+s+d==0) break;
		vector<pair<int, vector<int> > > route(n*n,make_pair(-1,vector<int>()));
		vector<int> path(n*n*n,-1);
		for(int i=0; i<m; i++){
			int a,b,f;
			cin>>a>>b>>f;
			path[--a+n*--b] = path[b+n*a] = f;
		}
		priority_queue<pair<int, vector<int> >, vector<pair<int, vector<int> > >, greater<pair<int, vector<int> > > > pq;
		pq.push(make_pair(0,vector<int>(1,s-1)));
		while(pq.size()){
			int cur = *(pq.top().second.rbegin());
			if(route[cur].first == -1){
				route[cur] = pq.top();
				for(int i=0; i<m; i++){
					if(route[i].first == -1 && path[i+n*cur] != -1){
						pair<int, vector<int> > copy = pq.top();
						copy.second.push_back(i);
						copy.first = calcCost(c,n,path,copy.second);
						pq.push(copy);
					}
				}
			}
			pq.pop();
		}
		cout<<route[d-1].first<<endl;
	}
}