Coloring Edges(有向图环染色)-- Educational Codeforces Round 72 (Rated for Div. 2)
题意:https://codeforc.es/contest/1217/problem/D
给你一个有向图,要求一个循环里不能有相同颜色的边,问你最小要几种颜色染色,怎么染色?
思路:
如果没有环,那全是1;如果有环,那小到大的边为1,大到小的边为2。
#define IOS ios_base::sync_with_stdio(0); cin.tie(0);
#include <cstdio>//sprintf islower isupper
#include <cstdlib>//malloc exit strcat itoa system("cls")
#include <iostream>//pair
#include <fstream>//freopen("C:\\Users\\13606\\Desktop\\草稿.txt","r",stdin);
#include <bitset>
//#include <G>
//#include<unordered_map>
#include <vector>
#include <stack>
#include <set>
#include <string.h>//strstr substr
#include <string>
#include <time.h>//srand(((unsigned)time(NULL))); Seed n=rand()%10 - 0~9;
#include <cmath>
#include <deque>
#include <queue>//priority_queue<int, vector<int>, greater<int> > q;//less
#include <vector>//emplace_back
//#include <math.h>
//#include <windows.h>//reverse(a,a+len);// ~ ! ~ ! floor
#include <algorithm>//sort + unique : sz=unique(b+1,b+n+1)-(b+1);+nth_element(first, nth, last, compare)
using namespace std;//next_permutation(a+1,a+1+n);//prev_permutation
#define fo(a,b,c) for(register int a=b;a<=c;++a)
#define fr(a,b,c) for(register int a=b;a>=c;--a)
#define mem(a,b) memset(a,b,sizeof(a))
#define pr printf
#define sc scanf
#define ls rt<<1
#define rs rt<<1|1
typedef long long ll;
void swapp(int &a,int &b);
double fabss(double a);
int maxx(int a,int b);
int minn(int a,int b);
int Del_bit_1(int n);
int lowbit(int n);
int abss(int a);
//const long long INF=(1LL<<60);
const double E=2.718281828;
const double PI=acos(-1.0);
const int inf=(<<);
const double ESP=1e-;
const int mod=(int)1e9+;
const int N=(int)1e6+; int in[N];
vector<vector<int> > G(N); bool top_sort(int n)
{
int cont=;
queue<int> q;
for(int i=;i<=n;i++)
if(in[i]==)
q.push(i);
while(!q.empty())
{
int x=q.front();
q.pop();
cont++;
for(int i=;i<G[x].size();i++)
{
in[G[x][i]]--;
if(in[G[x][i]]==)
q.push(G[x][i]);
}
}
return (cont==n);
}
struct node
{
int u,v;
}edge[N]; int main()
{
int n,m;
sc("%d%d",&n,&m);
for(int i=;i<=m;++i)
{
int u,v;
sc("%d%d",&u,&v);
edge[i]={u,v};
in[v]++;
G[u].push_back(v);
}
if(top_sort(n))
{
pr("1\n");
for(int i=;i<=m;++i)
pr("1 ");
}
else
{
pr("2\n");
for(int i=;i<=m;++i)
pr("%d ",edge[i].u>edge[i].v?:);
}
return ;
} /**************************************************************************************/ int maxx(int a,int b)
{
return a>b?a:b;
} void swapp(int &a,int &b)
{
a^=b^=a^=b;
} int lowbit(int n)
{
return n&(-n);
} int Del_bit_1(int n)
{
return n&(n-);
} int abss(int a)
{
return a>?a:-a;
} double fabss(double a)
{
return a>?a:-a;
} int minn(int a,int b)
{
return a<b?a:b;
}
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