#include <bits/stdc++.h>
using namespace std;
#define IOS ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define int long long
#define ll long long
#define forn(i, n) for (int i = 0; i < (n); ++i)
#define forn1(i, n) for (int i = 1; i <= (n); ++i)
#define pb push_back
#define max(a,b) ((a)>(b)? (a):(b))
#define min(a,b) ((a)<(b)? (a):(b))
#define all(v) v.begin(),v.end()
#define rall(x) (x).rbegin(), (x).rend()
const int mod = 1e9+7 ;
void print_vector(vector<int>v){
for(int i=0;i<v.size();i++){
cout<<v[i]<<" ";
}
cout<<endl;
}
void print_arr(int arr[], int n){
for(int i=0;i<n;i++){
cout<<arr[i]<<" ";
}
cout<<endl;
}
void print_vector_pair(vector<pair<int,int>>v){
for(int i=0;i<v.size();i++){
cout<<v[i].first<<" "<<v[i].second<<" "<<endl;
}
cout<<endl;
}
// int kmp(string s){
// vector<int>lps(s.size(),0);
// for(int i=1;i<lps.size();i++){
// int prev_index = lps[i-1];
// while(prev_index>0 && s[i]!=s[prev_index]){
// prev_index = lps[prev_index-1];
// }
// lps[i] = prev_index + (s[i]==s[prev_index]?1:0);
// }
// return lps[lps.size()-1];
// }
void solve(){
int n,m;
cin>>n>>m;
vector<int>gr[n+1];
for(int i=0;i<m;i++){
int u,v;
cin>>u>>v;
gr[u].pb(v);
gr[v].pb(u);
}
vector<ll> v[n + 1];
ll colour_graph[n + 1];
for (ll i = 1; i <= n; i++) {
ll colour;
cin >> colour;
colour_graph[i] = colour;
v[colour].push_back(i);
}
ll flag = 0;
vector<ll> result;
for (ll i = 1; i <= n; i++) {
for (auto nodes : v[i]) {
set<ll> s;
for (auto neigh : gr[nodes]) {
if (colour_graph[neigh] < colour_graph[nodes]) {
s.insert(colour_graph[neigh]);
}
if (colour_graph[neigh] == colour_graph[nodes]) {
flag = 1;
break;
}
}
if (s.size() != colour_graph[nodes] - 1) {
flag = 1;
break;
}
result.push_back(nodes);
}
}
if (flag == 1) {
cout << "-1" << "\n";
} else {
for (ll i = 0; i < result.size(); i++) {
cout << result[i] << " ";
}
}
}
signed main(){
IOS
#ifndef ONLINE_JUDGE
freopen("input.txt","r",stdin);
freopen("output.txt","w",stdout);
#endif
int tests;
tests = 1;
// cin>>tests;
while(tests--){
solve();
}
}
238. Product of Array Except Self | 229. Majority Element II |
222. Count Complete Tree Nodes | 215. Kth Largest Element in an Array |
198. House Robber | 153. Find Minimum in Rotated Sorted Array |
150. Evaluate Reverse Polish Notation | 144. Binary Tree Preorder Traversal |
137. Single Number II | 130. Surrounded Regions |
129. Sum Root to Leaf Numbers | 120. Triangle |
102. Binary Tree Level Order Traversal | 96. Unique Binary Search Trees |
75. Sort Colors | 74. Search a 2D Matrix |
71. Simplify Path | 62. Unique Paths |
50. Pow(x, n) | 43. Multiply Strings |
34. Find First and Last Position of Element in Sorted Array | 33. Search in Rotated Sorted Array |
17. Letter Combinations of a Phone Number | 5. Longest Palindromic Substring |
3. Longest Substring Without Repeating Characters | 1312. Minimum Insertion Steps to Make a String Palindrome |
1092. Shortest Common Supersequence | 1044. Longest Duplicate Substring |
1032. Stream of Characters | 987. Vertical Order Traversal of a Binary Tree |