using System;
using System.Collections.Generic;
using System.Linq;
class Program
{
static string InputPattern = "InputX";
static List<string> GetInputList()
{
var WillReturn = new List<string>();
if (InputPattern == "Input1") {
WillReturn.Add("6 7");
WillReturn.Add("1 2");
WillReturn.Add("1 5");
WillReturn.Add("2 3");
WillReturn.Add("2 4");
WillReturn.Add("2 5");
WillReturn.Add("3 6");
WillReturn.Add("5 6");
//2
//3
//3
//2
//1
//0
}
else if (InputPattern == "Input2") {
WillReturn.Add("5 4");
WillReturn.Add("1 5");
WillReturn.Add("2 3");
WillReturn.Add("3 4");
WillReturn.Add("4 5");
//1
//-1
//-1
//-1
//0
}
else if (InputPattern == "Input3") {
WillReturn.Add("2 0");
//0
//-1
}
else if (InputPattern == "Input4") {
WillReturn.Add("11 25");
WillReturn.Add("6 9");
WillReturn.Add("5 9");
WillReturn.Add("2 3");
WillReturn.Add("1 9");
WillReturn.Add("10 11");
WillReturn.Add("4 5");
WillReturn.Add("9 10");
WillReturn.Add("8 9");
WillReturn.Add("7 8");
WillReturn.Add("3 5");
WillReturn.Add("1 7");
WillReturn.Add("6 10");
WillReturn.Add("4 7");
WillReturn.Add("7 9");
WillReturn.Add("1 10");
WillReturn.Add("4 11");
WillReturn.Add("3 8");
WillReturn.Add("2 7");
WillReturn.Add("3 4");
WillReturn.Add("1 8");
WillReturn.Add("2 8");
WillReturn.Add("3 7");
WillReturn.Add("2 10");
WillReturn.Add("1 6");
WillReturn.Add("6 11");
//5
//-1
//-1
//-1
//-1
//-1
//4
//3
//2
//1
//0
}
else {
string wkStr;
while ((wkStr = Console.ReadLine()) != null) WillReturn.Add(wkStr);
}
return WillReturn;
}
// 隣接リスト
static Dictionary<long, List<long>> mToNodeListDict = new Dictionary<long, List<long>>();
static void Main()
{
List<string> InputList = GetInputList();
long[] wkArr = { };
Action<string> SplitAct = pStr =>
wkArr = pStr.Split(' ').Select(pX => long.Parse(pX)).ToArray();
SplitAct(InputList[0]);
long NodeCnt = wkArr[0];
foreach (string EachStr in InputList.Skip(1)) {
SplitAct(EachStr);
long FromNode = wkArr[0];
long ToNode = wkArr[1];
if (mToNodeListDict.ContainsKey(FromNode) == false) {
mToNodeListDict[FromNode] = new List<long>();
}
if (mToNodeListDict.ContainsKey(ToNode) == false) {
mToNodeListDict[ToNode] = new List<long>();
}
mToNodeListDict[FromNode].Add(ToNode);
mToNodeListDict[ToNode].Add(FromNode);
}
var InsUnionFindWithAnyInfo = new UnionFindWithAnyInfo();
var NGNodeSet = new HashSet<long>();
for (long I = 1; I <= NodeCnt; I++) {
InsUnionFindWithAnyInfo.MakeSet(I);
NGNodeSet.Remove(I);
// 隣接ノードでループ
if (mToNodeListDict.ContainsKey(I)) {
foreach (long EachRinsetuNode in mToNodeListDict[I]) {
if (I < EachRinsetuNode) {
NGNodeSet.Add(EachRinsetuNode);
}
else {
InsUnionFindWithAnyInfo.Unite(I, EachRinsetuNode);
}
}
}
// UnionFind森の木の数をチェック
if (InsUnionFindWithAnyInfo.TreeCnt == 1) {
Console.WriteLine(NGNodeSet.Count);
}
else {
Console.WriteLine(-1);
}
}
}
}
// UnionFindWithAnyInfoクラス
internal class UnionFindWithAnyInfo
{
private class NodeInfoDef
{
internal long ParentNode;
internal long Rank;
internal long Size; // 木のノード数
internal long EdgeCnt; // 木の枝の数
}
private Dictionary<long, NodeInfoDef> mNodeInfoDict =
new Dictionary<long, NodeInfoDef>();
// 森にある木の数
private long mTreeCnt = 0;
// 森にある木の数を返す
internal long TreeCnt
{
get { return mTreeCnt; }
}
// 要素が1つである木を森に追加
internal void MakeSet(long pNode)
{
mTreeCnt++;
NodeInfoDef WillAdd = new NodeInfoDef();
WillAdd.ParentNode = pNode;
WillAdd.Rank = 0;
WillAdd.Size = 1;
WillAdd.EdgeCnt = 0;
mNodeInfoDict[pNode] = WillAdd;
}
// 合併処理
internal void Unite(long pX, long pY)
{
long XNode = FindSet(pX);
long YNode = FindSet(pY);
// 既に同じ木の場合
if (XNode == YNode) {
mNodeInfoDict[XNode].EdgeCnt++;
return;
}
mTreeCnt--;
long XRank = mNodeInfoDict[XNode].Rank;
long YRank = mNodeInfoDict[YNode].Rank;
if (XRank > YRank) {
mNodeInfoDict[YNode].ParentNode = XNode;
mNodeInfoDict[XNode].Size += mNodeInfoDict[YNode].Size;
mNodeInfoDict[XNode].EdgeCnt++;
mNodeInfoDict[XNode].EdgeCnt += mNodeInfoDict[YNode].EdgeCnt;
}
else {
mNodeInfoDict[XNode].ParentNode = YNode;
mNodeInfoDict[YNode].Size += mNodeInfoDict[XNode].Size;
mNodeInfoDict[YNode].EdgeCnt++;
mNodeInfoDict[YNode].EdgeCnt += mNodeInfoDict[XNode].EdgeCnt;
if (XRank == YRank) {
mNodeInfoDict[YNode].Rank++;
}
}
}
// ノードを引数として、木の根を取得
internal long FindSet(long pTargetNode)
{
// 根までの経路上のノードのList
var PathNodeList = new List<long>();
long CurrNode = pTargetNode;
while (CurrNode != mNodeInfoDict[CurrNode].ParentNode) {
PathNodeList.Add(CurrNode);
CurrNode = mNodeInfoDict[CurrNode].ParentNode;
}
// 経路圧縮 (親ポインタの付け替え)
foreach (long EachPathNode in PathNodeList) {
mNodeInfoDict[EachPathNode].ParentNode = CurrNode;
}
return CurrNode;
}
// ノードを引数として、木のサイズを取得
internal long GetSize(long pNode)
{
long RootNode = FindSet(pNode);
return mNodeInfoDict[RootNode].Size;
}
// ノードを引数として、木の枝数を取得
internal long GetEdgeCnt(long pNode)
{
long RootNode = FindSet(pNode);
return mNodeInfoDict[RootNode].EdgeCnt;
}
internal void DebugPrint()
{
foreach (var EachPair in mNodeInfoDict.OrderBy(pX => pX.Key)) {
Console.WriteLine("mNodeInfoDict[{0}].ParentNode={1}",
EachPair.Key, EachPair.Value.ParentNode);
}
}
}