stablegradients/pie-gem5-pairs huggingface dataset:
// Slower C++ solution:
#include <queue>

#include <vector>

#include <stdio.h>

#include <stdlib.h>

#include <string.h>

#include <iostream>

#include <algorithm>

const int INF=0x3f3f3f3f;

using namespace std;

struct edge{

    int to,cost,w;

};

int V,d[10005],dis[10005];

vector<edge> G[20005];

typedef pair<int,int> P;

void dijkstra(int s){

    int i,v;

	priority_queue<P,vector<P>,greater<P> >que;

	fill(d,d+V+1,INF);

	fill(dis,dis+V+1,INF);

	d[s]=dis[s]=0;

	que.push(P(0,s));

	while(!que.empty()){

		P p=que.top(); que.pop();

		v=p.second;

		if(d[v]<p.first)

        continue;

		for(i=0;i<G[v].size();i++){

			edge e=G[v][i];

			if(d[e.to]>d[v]+e.cost){

				d[e.to]=d[v]+e.cost;

                dis[e.to]=e.w;

				que.push(P(d[e.to],e.to));

			}

			else if(d[e.to]==d[v]+e.cost)

            dis[e.to]=min(dis[e.to],e.w);

		}

	}

}

int main(){

    int m,st,en,i,j,x,y,z,q,ans;

    edge temp;

    while(scanf("%d%d",&V,&m)!=EOF&&(V||m)){

        for(i=0;i<=V;i++)

        G[i].clear();

        for(i=0;i<m;i++){

            scanf("%d%d%d%d",&x,&y,&z,&q);

            temp.to=y;temp.cost=z;temp.w=q;

            G[x].push_back(temp);

            temp.to=x;

            G[y].push_back(temp);

        }

        dijkstra(1);

        ans=0;

        for(i=1;i<=V;i++)

        ans+=dis[i];

        printf("%d\n",ans);

    }

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 1.1689750214715862x):
#include <bits/stdc++.h>



using namespace std;

const int N = 1E4 + 7;

bool vis[N];

int n, m;

typedef struct node

{

   int to,dis,cost;

   node(){}

   node(int a,int b,int c) : to(a),dis(b),cost(c) {}

   bool operator < (const node &a) const {

       return dis == a.dis ? cost > a.cost : dis > a.dis;

   }

}P;

vector<P>g[N];

int dij()

{

    int ans = 0;

    priority_queue<P> pq;

    pq.push(P(1,0,0));

    while(!pq.empty()) {

        P now = pq.top() ; pq.pop();

        if(vis[now.to]) continue;

        vis[now.to] = true;

        ans += now.cost;

        for(int i = 0;i < g[now.to].size();i ++) {

            P temp = g[now.to][i];

            pq.push(P(temp.to, now.dis + temp.dis, temp.cost));

        }

    }

    return ans;

}

int main()

{

   // freopen("f:\\jj.txt","r",stdin);

    std::ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);

    while(cin >> n >> m) {

        if(n + m == 0)  break;

        for(int i = 1;i <= n;i ++)  g[i].clear();

        memset(vis, 0, sizeof(vis));

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

            int a,b,c,d;

            cin >> a >> b >> c >> d;

            g[a].push_back(P(b,c,d));

            g[b].push_back(P(a,c,d));

        }

        cout << dij() << endl;

    }

    return 0;

}
// Slower C++ solution:
#include<iostream>

#include<vector>

#include<queue>

#include<algorithm>

#include<cstring>

using namespace std;

const int maxn  = 1e4+10;

const int INF = 0x3f3f3f3f;

typedef pair<int,int> P;

struct edge{

	int to,dis,cost;

		

};



int d[maxn];

int value[maxn];



int N,M;



int dijkstra(vector<edge>G[])

{



	memset(d,INF,sizeof(d));

	//memset(value,INF,sizeof(value));

	priority_queue<P,vector<P>,greater<P> > que;

		

	d[1] = 0;

	value[1] = 0;

	que.push(P(d[1],1));

	

	int res = 0;

	while(!que.empty())

	{

		P p  = que.top(); que.pop();

		

		int v = p.second;

		if(d[v] < p.first)

			continue;

			

		res += value[v];

		

		for(int i = 0; i < G[v].size(); i++)

		{

			edge e = G[v][i];

			if(d[e.to] == d[v] + e.dis)

				value[e.to] = min(value[e.to],e.cost);

			if(d[e.to] > d[v] + e.dis)

			{

				d[e.to] = d[v] + e.dis;

				que.push(P(d[e.to],e.to));

				

				value[e.to] = e.cost;

			}

		}

	}

	return res;

	

}



int main()

{



	//freopen("c:\\users\\administrator\\desktop\\in.txt","r",stdin);

	while(cin >> N >> M, N||M)

	{

		

		vector<edge> G[maxn];

		for(int i =0; i < M; i++)

		{

			int u,v,d,c;

			edge e;

			cin >> u >> v >> d >> c;

			e.to= v, e.dis= d, e.cost =c;

			G[u].push_back(e);

			e.to= u;

			G[v].push_back(e);	

		}

		

		int res = dijkstra(G);

		cout << res <<endl;

	}		

} 

// Faster C++ solution for the same problem (measured speedup: 1.1197403699262285x):
#include <bits/stdc++.h>



using namespace std;

const int N = 1E4 + 7;

bool vis[N];

int n, m;

typedef struct node

{

   int to,dis,cost;

   node(){}

   node(int a,int b,int c) : to(a),dis(b),cost(c) {}

   bool operator < (const node &a) const {

       return dis == a.dis ? cost > a.cost : dis > a.dis;

   }

}P;

vector<P>g[N];

int dij()

{

    int ans = 0;

    priority_queue<P> pq;

    pq.push(P(1,0,0));

    while(!pq.empty()) {

        P now = pq.top() ; pq.pop();

        if(vis[now.to]) continue;

        vis[now.to] = true;

        ans += now.cost;

        for(int i = 0;i < g[now.to].size();i ++) {

            P temp = g[now.to][i];

            pq.push(P(temp.to, now.dis + temp.dis, temp.cost));

        }

    }

    return ans;

}

int main()

{

   // freopen("f:\\jj.txt","r",stdin);

    std::ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);

    while(cin >> n >> m) {

        if(n + m == 0)  break;

        for(int i = 1;i <= n;i ++)  g[i].clear();

        memset(vis, 0, sizeof(vis));

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

            int a,b,c,d;

            cin >> a >> b >> c >> d;

            g[a].push_back(P(b,c,d));

            g[b].push_back(P(a,c,d));

        }

        cout << dij() << endl;

    }

    return 0;

}
// Slower C++ solution:
#include <bits/stdc++.h>

using namespace std;

struct node{

    int next,d,c;

};

const int maxn=10005;

int n,m;

int d[maxn],c[maxn];

bool vis[maxn];

void init()

{

    for(int i=0;i<maxn;i++)

        d[i]=c[i]=1e9,vis[i]=0;

}

int main()

{

    while(~scanf("%d%d",&n,&m))

    {

        if(n==0&&m==0) return 0;

        init();vector<node> v[maxn];

        for(int i=0;i<m;i++)

        {

            int x,y,d,c;

            scanf("%d%d%d%d",&x,&y,&d,&c);

            v[x].push_back(node{y,d,c});

            v[y].push_back(node{x,d,c});

        }

        queue<int> q;

        q.push(1);

        d[1]=c[1]=0;vis[1]=1;

        while(!q.empty())

        {

            int u=q.front();q.pop();vis[u]=0;

            for(int i=0;i<v[u].size();i++)

            {

                int nx=v[u][i].next;

                if(d[nx]==d[u]+v[u][i].d&&c[nx]>v[u][i].c){

                        c[nx]=v[u][i].c;

                }

                if(d[nx]>d[u]+v[u][i].d)

                {

                    d[nx]=d[u]+v[u][i].d;

                    c[nx]=v[u][i].c;

                    if(vis[nx]) continue;

                    vis[nx]=1;

                    q.push(nx);

                }

            }

        }

        int ans=0;

        for(int i=2;i<=n;i++) ans+=c[i];

        cout<<ans<<endl;

    }

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 1.1655632512984155x):
#include <bits/stdc++.h>



using namespace std;

const int N = 1E4 + 7;

bool vis[N];

int n, m;

typedef struct node

{

   int to,dis,cost;

   node(){}

   node(int a,int b,int c) : to(a),dis(b),cost(c) {}

   bool operator < (const node &a) const {

       return dis == a.dis ? cost > a.cost : dis > a.dis;

   }

}P;

vector<P>g[N];

int dij()

{

    int ans = 0;

    priority_queue<P> pq;

    pq.push(P(1,0,0));

    while(!pq.empty()) {

        P now = pq.top() ; pq.pop();

        if(vis[now.to]) continue;

        vis[now.to] = true;

        ans += now.cost;

        for(int i = 0;i < g[now.to].size();i ++) {

            P temp = g[now.to][i];

            pq.push(P(temp.to, now.dis + temp.dis, temp.cost));

        }

    }

    return ans;

}

int main()

{

   // freopen("f:\\jj.txt","r",stdin);

    std::ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);

    while(cin >> n >> m) {

        if(n + m == 0)  break;

        for(int i = 1;i <= n;i ++)  g[i].clear();

        memset(vis, 0, sizeof(vis));

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

            int a,b,c,d;

            cin >> a >> b >> c >> d;

            g[a].push_back(P(b,c,d));

            g[b].push_back(P(a,c,d));

        }

        cout << dij() << endl;

    }

    return 0;

}
// Slower C++ solution:
#include <queue>

#include <vector>

#include <stdio.h>

#include <stdlib.h>

#include <string.h>

#include <iostream>

#include <algorithm>

const int INF=0x3f3f3f3f;

using namespace std;

struct edge{

    int to,cost,w;

};

int V,d[10005],dis[10005];

vector<edge> G[20005];

typedef pair<int,int> P;

void dijkstra(int s){

    int i,v;

	priority_queue<P,vector<P>,greater<P> >que;

	fill(d,d+V+1,INF);

	fill(dis,dis+V+1,INF);

	d[s]=dis[s]=0;

	que.push(P(0,s));

	while(!que.empty()){

		P p=que.top(); que.pop();

		v=p.second;

		if(d[v]<p.first)

        continue;

		for(i=0;i<G[v].size();i++){

			edge e=G[v][i];

			if(d[e.to]>d[v]+e.cost){

				d[e.to]=d[v]+e.cost;

                dis[e.to]=e.w;

				que.push(P(d[e.to],e.to));

			}

			else if(d[e.to]==d[v]+e.cost)

            dis[e.to]=min(dis[e.to],e.w);

		}

	}

}

int main(){

    int m,st,en,i,j,x,y,z,q,ans;

    edge temp;

    while(scanf("%d%d",&V,&m)!=EOF&&(V||m)){

        for(i=0;i<=V;i++)

        G[i].clear();

        for(i=0;i<m;i++){

            scanf("%d%d%d%d",&x,&y,&z,&q);

            temp.to=y;temp.cost=z;temp.w=q;

            G[x].push_back(temp);

            temp.to=x;

            G[y].push_back(temp);

        }

        dijkstra(1);

        ans=0;

        for(i=1;i<=V;i++)

        ans+=dis[i];

        printf("%d\n",ans);

    }

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 1.177276006847818x):
#include<cstdio>

#include<iostream>

#include<algorithm>

#include<vector>

#include<queue>

#define MAX_V 10006

#define INF 0x3fffffff

using namespace std;

struct edge{

    int to,cost,dis;

    };

typedef pair<int,int> P;

int V;

vector<edge> G[MAX_V];

int d[MAX_V];



void dij(int s){

    priority_queue<P,vector<P>,greater<P> > que;

    fill(d,d+V,INF);

    d[s]=0;

    que.push(P(0,s));

    while(!que.empty()){

        P p=que.top();que.pop();

        int v=p.second;

        if(d[v]<p.first)continue;

        for(int i=0;i<G[v].size();i++){

            edge e=G[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 ans=0;



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

        int mimcost=INF;

        for(int j=0;j<G[i].size();j++){

            if(d[G[i][j].to]+G[i][j].cost==d[i]&&G[i][j].dis<mimcost){



                mimcost=G[i][j].dis;

                //cout<<mimcost<<endl;

            }

        }

        //cout<<mimcost<<endl;

        ans+=mimcost;

    }

    cout<<ans<<endl;



}



int main(){

   // freopen("1.txt","r",stdin);

    int M;

    while(cin>>V>>M){

        if(V==0&&M==0)break;

        for(int i=0;i<V;i++)G[i].clear();

        while(M--){

            int a,b,t,c;

            cin>>a>>b>>t>>c;

            a--;b--;

            edge tmp;

            tmp.to=b;

            tmp.cost=t;

            tmp.dis=c;

            G[a].push_back(tmp);

            tmp.to=a;

            G[b].push_back(tmp);

        }

        dij(0);

    }

    return 0;

}
// Slower C++ solution:
#include<iostream>

#include<vector>

#include<queue>

#include<algorithm>

#include<cstring>

using namespace std;

const int maxn  = 1e4+10;

const int INF = 0x3f3f3f3f;

typedef pair<int,int> P;

struct edge{

	int to,dis,cost;

		

};



int d[maxn];

int value[maxn];



int N,M;



int dijkstra(vector<edge>G[])

{



	memset(d,INF,sizeof(d));

	//memset(value,INF,sizeof(value));

	priority_queue<P,vector<P>,greater<P> > que;

		

	d[1] = 0;

	value[1] = 0;

	que.push(P(d[1],1));

	

	int res = 0;

	while(!que.empty())

	{

		P p  = que.top(); que.pop();

		

		int v = p.second;

		if(d[v] < p.first)

			continue;

			

		res += value[v];

		

		for(int i = 0; i < G[v].size(); i++)

		{

			edge e = G[v][i];

			if(d[e.to] == d[v] + e.dis)

				value[e.to] = min(value[e.to],e.cost);

			if(d[e.to] > d[v] + e.dis)

			{

				d[e.to] = d[v] + e.dis;

				que.push(P(d[e.to],e.to));

				

				value[e.to] = e.cost;

			}

		}

	}

	return res;

	

}



int main()

{



	//freopen("c:\\users\\administrator\\desktop\\in.txt","r",stdin);

	while(cin >> N >> M, N||M)

	{

		

		vector<edge> G[maxn];

		for(int i =0; i < M; i++)

		{

			int u,v,d,c;

			edge e;

			cin >> u >> v >> d >> c;

			e.to= v, e.dis= d, e.cost =c;

			G[u].push_back(e);

			e.to= u;

			G[v].push_back(e);	

		}

		

		int res = dijkstra(G);

		cout << res <<endl;

	}		

} 

// Faster C++ solution for the same problem (measured speedup: 1.1276917360933456x):
#include<cstdio>

#include<iostream>

#include<algorithm>

#include<vector>

#include<queue>

#define MAX_V 10006

#define INF 0x3fffffff

using namespace std;

struct edge{

    int to,cost,dis;

    };

typedef pair<int,int> P;

int V;

vector<edge> G[MAX_V];

int d[MAX_V];



void dij(int s){

    priority_queue<P,vector<P>,greater<P> > que;

    fill(d,d+V,INF);

    d[s]=0;

    que.push(P(0,s));

    while(!que.empty()){

        P p=que.top();que.pop();

        int v=p.second;

        if(d[v]<p.first)continue;

        for(int i=0;i<G[v].size();i++){

            edge e=G[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 ans=0;



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

        int mimcost=INF;

        for(int j=0;j<G[i].size();j++){

            if(d[G[i][j].to]+G[i][j].cost==d[i]&&G[i][j].dis<mimcost){



                mimcost=G[i][j].dis;

                //cout<<mimcost<<endl;

            }

        }

        //cout<<mimcost<<endl;

        ans+=mimcost;

    }

    cout<<ans<<endl;



}



int main(){

   // freopen("1.txt","r",stdin);

    int M;

    while(cin>>V>>M){

        if(V==0&&M==0)break;

        for(int i=0;i<V;i++)G[i].clear();

        while(M--){

            int a,b,t,c;

            cin>>a>>b>>t>>c;

            a--;b--;

            edge tmp;

            tmp.to=b;

            tmp.cost=t;

            tmp.dis=c;

            G[a].push_back(tmp);

            tmp.to=a;

            G[b].push_back(tmp);

        }

        dij(0);

    }

    return 0;

}
// Slower C++ solution:
#include <bits/stdc++.h>

using namespace std;

struct node{

    int next,d,c;

};

const int maxn=10005;

int n,m;

int d[maxn],c[maxn];

bool vis[maxn];

void init()

{

    for(int i=0;i<maxn;i++)

        d[i]=c[i]=1e9,vis[i]=0;

}

int main()

{

    while(~scanf("%d%d",&n,&m))

    {

        if(n==0&&m==0) return 0;

        init();vector<node> v[maxn];

        for(int i=0;i<m;i++)

        {

            int x,y,d,c;

            scanf("%d%d%d%d",&x,&y,&d,&c);

            v[x].push_back(node{y,d,c});

            v[y].push_back(node{x,d,c});

        }

        queue<int> q;

        q.push(1);

        d[1]=c[1]=0;vis[1]=1;

        while(!q.empty())

        {

            int u=q.front();q.pop();vis[u]=0;

            for(int i=0;i<v[u].size();i++)

            {

                int nx=v[u][i].next;

                if(d[nx]==d[u]+v[u][i].d&&c[nx]>v[u][i].c){

                        c[nx]=v[u][i].c;

                }

                if(d[nx]>d[u]+v[u][i].d)

                {

                    d[nx]=d[u]+v[u][i].d;

                    c[nx]=v[u][i].c;

                    if(vis[nx]) continue;

                    vis[nx]=1;

                    q.push(nx);

                }

            }

        }

        int ans=0;

        for(int i=2;i<=n;i++) ans+=c[i];

        cout<<ans<<endl;

    }

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 1.1738400094210326x):
#include<cstdio>

#include<iostream>

#include<algorithm>

#include<vector>

#include<queue>

#define MAX_V 10006

#define INF 0x3fffffff

using namespace std;

struct edge{

    int to,cost,dis;

    };

typedef pair<int,int> P;

int V;

vector<edge> G[MAX_V];

int d[MAX_V];



void dij(int s){

    priority_queue<P,vector<P>,greater<P> > que;

    fill(d,d+V,INF);

    d[s]=0;

    que.push(P(0,s));

    while(!que.empty()){

        P p=que.top();que.pop();

        int v=p.second;

        if(d[v]<p.first)continue;

        for(int i=0;i<G[v].size();i++){

            edge e=G[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 ans=0;



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

        int mimcost=INF;

        for(int j=0;j<G[i].size();j++){

            if(d[G[i][j].to]+G[i][j].cost==d[i]&&G[i][j].dis<mimcost){



                mimcost=G[i][j].dis;

                //cout<<mimcost<<endl;

            }

        }

        //cout<<mimcost<<endl;

        ans+=mimcost;

    }

    cout<<ans<<endl;



}



int main(){

   // freopen("1.txt","r",stdin);

    int M;

    while(cin>>V>>M){

        if(V==0&&M==0)break;

        for(int i=0;i<V;i++)G[i].clear();

        while(M--){

            int a,b,t,c;

            cin>>a>>b>>t>>c;

            a--;b--;

            edge tmp;

            tmp.to=b;

            tmp.cost=t;

            tmp.dis=c;

            G[a].push_back(tmp);

            tmp.to=a;

            G[b].push_back(tmp);

        }

        dij(0);

    }

    return 0;

}
// Slower C++ solution:
#include <queue>

#include <vector>

#include <stdio.h>

#include <stdlib.h>

#include <string.h>

#include <iostream>

#include <algorithm>

const int INF=0x3f3f3f3f;

using namespace std;

struct edge{

    int to,cost,w;

};

int V,d[10005],dis[10005];

vector<edge> G[20005];

typedef pair<int,int> P;

void dijkstra(int s){

    int i,v;

	priority_queue<P,vector<P>,greater<P> >que;

	fill(d,d+V+1,INF);

	fill(dis,dis+V+1,INF);

	d[s]=dis[s]=0;

	que.push(P(0,s));

	while(!que.empty()){

		P p=que.top(); que.pop();

		v=p.second;

		if(d[v]<p.first)

        continue;

		for(i=0;i<G[v].size();i++){

			edge e=G[v][i];

			if(d[e.to]>d[v]+e.cost){

				d[e.to]=d[v]+e.cost;

                dis[e.to]=e.w;

				que.push(P(d[e.to],e.to));

			}

			else if(d[e.to]==d[v]+e.cost)

            dis[e.to]=min(dis[e.to],e.w);

		}

	}

}

int main(){

    int m,st,en,i,j,x,y,z,q,ans;

    edge temp;

    while(scanf("%d%d",&V,&m)!=EOF&&(V||m)){

        for(i=0;i<=V;i++)

        G[i].clear();

        for(i=0;i<m;i++){

            scanf("%d%d%d%d",&x,&y,&z,&q);

            temp.to=y;temp.cost=z;temp.w=q;

            G[x].push_back(temp);

            temp.to=x;

            G[y].push_back(temp);

        }

        dijkstra(1);

        ans=0;

        for(i=1;i<=V;i++)

        ans+=dis[i];

        printf("%d\n",ans);

    }

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 1.140244090159798x):
#include<iostream>

#include<cstdio>

#include<cstdlib>

#include<string>

#include<cstring>

#include<algorithm>

#include<queue>

#include<vector>

#define N 20100

#define M 50010

#define rg register

using namespace std;

typedef long long ll;

typedef double db;

int n,m,tot=0;

int dis[N],head[N],vis[N];

int nxt[M],to[M],w[M],c[M];

void link(int x,int y,int z,int v){

	nxt[tot]=head[x],to[tot]=y,w[tot]=z,c[tot]=v,head[x]=tot++;

}

void spfa(){

	queue <int> q;

	memset(dis,0x3f,sizeof(dis));

	memset(vis,0,sizeof(vis));

	q.push(1),dis[1]=0,vis[1]=1;

	while (!q.empty()){

		int x=q.front();q.pop();

		for (int i=head[x];i!=-1;i=nxt[i]){

			int v=to[i];

			if (dis[v]<=dis[x]+w[i]) continue;

			dis[v]=dis[x]+w[i];

			if (!vis[v]) vis[v]=1,q.push(v);

		}

		vis[x]=0;

	}

}

int main(){

//	freopen ("2249.in","r",stdin);

//	freopen ("2249.out","w",stdout);

	while (scanf ("%d%d",&n,&m)&&(n||m)){

		memset(head,-1,sizeof(head));

		tot=0;int x,y,z,v;

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

			scanf ("%d%d%d%d",&x,&y,&z,&v);

			link(x,y,z,v),link(y,x,z,v);

		}

		spfa();

		int ans=0;

		for (int i=2;i<=n;++i){

			int mx=2000;

			for (int j=head[i];j!=-1;j=nxt[j]){

				v=to[j];

				if (dis[i]==dis[v]+w[j]) mx=min(mx,c[j]);

			}

			ans+=mx;

		}

		printf ("%d\n",ans);

	

	}

	return 0;

}
// Slower C++ solution:
#include <bits/stdc++.h>

using namespace std;

struct node{

    int next,d,c;

};

const int maxn=10005;

int n,m;

int d[maxn],c[maxn];

bool vis[maxn];

void init()

{

    for(int i=0;i<maxn;i++)

        d[i]=c[i]=1e9,vis[i]=0;

}

int main()

{

    while(~scanf("%d%d",&n,&m))

    {

        if(n==0&&m==0) return 0;

        init();vector<node> v[maxn];

        for(int i=0;i<m;i++)

        {

            int x,y,d,c;

            scanf("%d%d%d%d",&x,&y,&d,&c);

            v[x].push_back(node{y,d,c});

            v[y].push_back(node{x,d,c});

        }

        queue<int> q;

        q.push(1);

        d[1]=c[1]=0;vis[1]=1;

        while(!q.empty())

        {

            int u=q.front();q.pop();vis[u]=0;

            for(int i=0;i<v[u].size();i++)

            {

                int nx=v[u][i].next;

                if(d[nx]==d[u]+v[u][i].d&&c[nx]>v[u][i].c){

                        c[nx]=v[u][i].c;

                }

                if(d[nx]>d[u]+v[u][i].d)

                {

                    d[nx]=d[u]+v[u][i].d;

                    c[nx]=v[u][i].c;

                    if(vis[nx]) continue;

                    vis[nx]=1;

                    q.push(nx);

                }

            }

        }

        int ans=0;

        for(int i=2;i<=n;i++) ans+=c[i];

        cout<<ans<<endl;

    }

    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 1.1369161740747786x):
#include<iostream>

#include<cstdio>

#include<cstdlib>

#include<string>

#include<cstring>

#include<algorithm>

#include<queue>

#include<vector>

#define N 20100

#define M 50010

#define rg register

using namespace std;

typedef long long ll;

typedef double db;

int n,m,tot=0;

int dis[N],head[N],vis[N];

int nxt[M],to[M],w[M],c[M];

void link(int x,int y,int z,int v){

	nxt[tot]=head[x],to[tot]=y,w[tot]=z,c[tot]=v,head[x]=tot++;

}

void spfa(){

	queue <int> q;

	memset(dis,0x3f,sizeof(dis));

	memset(vis,0,sizeof(vis));

	q.push(1),dis[1]=0,vis[1]=1;

	while (!q.empty()){

		int x=q.front();q.pop();

		for (int i=head[x];i!=-1;i=nxt[i]){

			int v=to[i];

			if (dis[v]<=dis[x]+w[i]) continue;

			dis[v]=dis[x]+w[i];

			if (!vis[v]) vis[v]=1,q.push(v);

		}

		vis[x]=0;

	}

}

int main(){

//	freopen ("2249.in","r",stdin);

//	freopen ("2249.out","w",stdout);

	while (scanf ("%d%d",&n,&m)&&(n||m)){

		memset(head,-1,sizeof(head));

		tot=0;int x,y,z,v;

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

			scanf ("%d%d%d%d",&x,&y,&z,&v);

			link(x,y,z,v),link(y,x,z,v);

		}

		spfa();

		int ans=0;

		for (int i=2;i<=n;++i){

			int mx=2000;

			for (int j=head[i];j!=-1;j=nxt[j]){

				v=to[j];

				if (dis[i]==dis[v]+w[j]) mx=min(mx,c[j]);

			}

			ans+=mx;

		}

		printf ("%d\n",ans);

	

	}

	return 0;

}