Pagini recente » Cod sursa (job #667071) | Rating Samasugi (soup) | Cod sursa (job #778874) | Istoria paginii utilizator/fifimusat | Cod sursa (job #2415344)
//ALEX ENACHE
#include <vector>
#include <algorithm>
#include <queue>
#include <map>
#include <set>
#include <unordered_map>
#include <time.h>
#include <iomanip>
#include <deque>
#include <math.h>
#include <cmath>
#include <assert.h>
#include <stack>
#include <bitset>
#include <random>
#include <chrono>
using namespace std;
const double PI = acos(-1);
const double eps = 1e-6;
inline long long lgput(long long a , long long b , long long mod) {
long long ret = 1;
while( b ){
if(b & 1) ret = (ret * a) % mod;
a = (a * a) % mod;
b >>= 1;
}
return (ret%mod);
}
inline long long inv(long long x , long long MOD) {
return lgput(x, MOD - 2, MOD);
}
inline bool exist (double nr){
return (nr < -eps) || (nr > eps);
}
inline void mod (long long &nr , long long MOD){
if (nr >= 0 && nr <= 3*MOD){
while (nr >= MOD){
nr -= MOD;
}
return;
}
nr %= MOD;
if (nr < 0){
nr += MOD;
}
}
inline bool gauss (int n , int m , vector < vector < double > > v , vector < double > &ans){
//transformare matrice (zerouri sub diagonala principala)
for (int j=1; j<=m; j++){
int pnt = j;
while (pnt <= n){
if (exist(v[pnt][j])){
swap(v[j] , v[pnt]);
break;
}
pnt++;
}
if (pnt > n){
continue;
}
for (int i=j+1; i<=n; i++){
double cnst = v[i][j] / v[j][j];
for (int k=j; k<=m+1; k++){
v[i][k] -= v[j][k] * cnst;
}
}
}
//aflat raspuns
for (int i=n; i>=1; i--){
double sum = 0;
for (int j=i+1; j<=m; j++){
if (exist(v[i][j])){
sum += v[i][j] * ans[j];
}
}
if (i > m && exist(v[i][m+1])){
return false;
}
if (!exist(v[i][i]) && exist(v[i][m+1] - sum)){
return false;
}
if (exist(v[i][i])){
ans[i] = (v[i][m+1] - sum) / v[i][i];
}
}
return true;
}
inline bool gauss (int n , int m , vector < vector < long long > > v , vector < long long > &ans , long long MOD){
//transformare matrice (zerouri sub diagonala principala)
for (int j=1; j<=m; j++){
int pnt = j;
while (pnt <= n){
if (v[pnt][j]){
swap(v[j] , v[pnt]);
break;
}
pnt++;
}
if (pnt > n){
continue;
}
for (int i=j+1; i<=n; i++){
long long cnst = v[i][j] * inv(v[j][j] , MOD);
mod(cnst , MOD);
for (int k=j; k<=m+1; k++){
v[i][k] -= v[j][k] * cnst;
mod(v[i][k] , MOD);
}
}
}
//aflat raspuns
for (int i=n; i>=1; i--){
long long sum = 0;
for (int j=i+1; j<=m; j++){
if (v[i][j]){
sum += v[i][j] * ans[j];
mod(sum , MOD);
}
}
if (i > m && v[i][m+1]){
return false;
}
if (!v[i][i] && v[i][m+1] - sum){
return false;
}
if (v[i][i]){
ans[i] = (v[i][m+1] - sum) * inv(v[i][i] , MOD);
mod(ans[i] , MOD);
}
}
return true;
}
//-------------------------------------------------------------------
//#include <iostream>
#include <fstream>
ifstream cin ("ciclueuler.in");ofstream cout ("ciclueuler.out");
vector < int > gr[100100];
int poz[100100];
struct edge{
int st , dr;
bool used;
};
edge edges[500100];
int nxt(int nod , edge &edg){
edg.used = true;
if (edg.st == nod){
return edg.dr;
}
return edg.st;
}
vector < int > ans;
void dfs(int nod){
while (poz[nod] < gr[nod].size()){
if (!edges[gr[nod][poz[nod]]].used){
dfs(nxt(nod , edges[gr[nod][poz[nod]]]));
}
poz[nod]++;
}
ans.push_back(nod);
}
int main() {
//freopen("input", "r", stdin);freopen("output", "w", stdout);
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
cout << setprecision(10) << fixed;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
srand(time(nullptr));
int n , m;
cin>>n>>m;
for (int i=1; i<=m; i++){
int a , b;
cin>>a>>b;
edges[i] = {a , b , false};
gr[a].push_back(i);
gr[b].push_back(i);
}
dfs(1);
for (int i=1; i<=m; i++){
if (!edges[i].used){
cout<<-1;
return 0;
}
}
for (auto &x : ans){
cout<<x<<" ";
}
return 0;
}