# UVa 762 – We Ship Cheap

## Solution Idea:

After reading the problem statement It’s clear that this is a shortest path problem and we can solve this using BFS. In this problem all the nodes are string. so we use map for mapping strings with integers and run a BFS.

The main problem is is problem is it’s test cases. This problem have a lots of critical case. Like source and destination is not present on the input graph and Source and Destination is the same node.

Think carefully about this test cases and handle them separately and Most important thing in solving graph problem is clearing the whole graph and arrays after each test cases.

```
/*
+-+ +-+ +-+
|R| |.| |S|
+-+ +-+ +-+
*/

#include <bits/stdc++.h>

#define pii             pair <int,int>
#define sc              scanf
#define pf              printf
#define Pi              2*acos(0.0)
#define ms(a,b)         memset(a, b, sizeof(a))
#define pb(a)           push_back(a)
#define MP              make_pair
#define db              double
#define ll              long long
#define EPS             10E-10
#define ff              first
#define ss              second
#define sqr(x)          (x)*(x)
#define D(x)            cout<<#x " = "<<(x)<<endl
#define VI              vector <int>
#define DBG             pf("Hi\n")
#define MOD             100007
#define MAX             10000
#define CIN             ios_base::sync_with_stdio(0); cin.tie(0)
#define SZ(a)           (int)a.size()
#define sf(a)           scanf("%d",&a)
#define sfl(a)          scanf("%lld",&a)
#define sff(a,b)        scanf("%d %d",&a,&b)
#define sffl(a,b)       scanf("%lld %lld",&a,&b)
#define sfff(a,b,c)     scanf("%d %d %d",&a,&b,&c)
#define sfffl(a,b,c)    scanf("%lld %lld %lld",&a,&b,&c)
#define loop(i,n)       for(int i=0;i<n;i++)
#define REP(i,a,b)      for(int i=a;i<b;i++)
#define TEST_CASE(t)    for(int z=1;z<=t;z++)
#define PRINT_CASE      printf("Case %d: ",z)
#define all(a)          a.begin(),a.end()
#define intlim          2147483648
#define inf             1000000
#define ull             unsigned long long

using namespace std;

/*----------------------Graph Moves----------------*/
//const int fx[]={+1,-1,+0,+0};
//const int fy[]={+0,+0,+1,-1};
//const int fx[]={+0,+0,+1,-1,-1,+1,-1,+1};   // Kings Move
//const int fy[]={-1,+1,+0,+0,+1,+1,-1,-1};  // Kings Move
//const int fx[]={-2, -2, -1, -1,  1,  1,  2,  2};  // Knights Move
//const int fy[]={-1,  1, -2,  2, -2,  2, -1,  1}; // Knights Move
/*------------------------------------------------*/

//int Set(int N,int pos){return N=N | (1<<pos);}
//int reset(int N,int pos){return N= N & ~(1<<pos);}
//bool check(int N,int pos){return (bool)(N & (1<<pos));}
/*------------------------------------------------*/

vector<int>G[10005];
map<string,int>mp;
map<int,string>mp1;

int d[10005];
bool visit[10005];
int dir[10005];
int cnt=0;

int bfs(int src, int dst)
{
queue<int>Q;
d[src]=0;
visit[src]=1;
Q.push(src);
dir[src]=src;
while(!Q.empty())
{
int u=Q.front();
Q.pop();
if(u==dst) return 1;

loop(i,SZ(G[u]))
{
int v=G[u][i];
if(!visit[v])
{
visit[v]=1;
d[v]=d[u]+1;
Q.push(v);
dir[v]=u;
}
}
}
return -1;
}

void path_print(int a, int b)
{
if(a==b) return;
path_print(dir[a],b);
cout<<mp1[dir[a]]<<" "<<mp1[a]<<endl;
}

void allclear(int n)
{
loop(i,n)
{
G[i].clear();
d[i]=visit[i]=dir[i]=0;
}
mp.clear();
mp1.clear();
cnt=0;
}

int main()
{
CIN;
//    freopen("in.txt","r",stdin);
///freopen("out.txt","w",stdout);
int n;
bool test=0;
while(cin>>n)
{
if(test) cout<<endl;
test=1;
string s1,s2;
loop(i,n)
{
cin>>s1>>s2;
if(mp[s1]==0)
{
mp[s1]= ++cnt;
mp1[cnt]=s1;
}
if(mp[s2]==0)
{
mp[s2]= ++cnt;
mp1[cnt]=s2;
}
G[mp[s1]].pb(mp[s2]);
G[mp[s2]].pb(mp[s1]);
}

cin>>s1>>s2;
if(s1==s2)
cout<<s1<<" "<<s1<<endl;
else if((mp[s1]==0 || mp[s2]==0))
{
cout<<"No route"<<endl;
}
else if(bfs(mp[s1],mp[s2])==-1)
cout<<"No route"<<endl;
else
path_print(mp[s2],mp[s1]);

allclear(cnt+5);

}
return 0;
}

```
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