二分答案,2sat判定。
//#pragma comment(linker, "/STACK:1024000000,1024000000")
#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<algorithm>
#include<iostream>
#include<sstream>
#include<cmath>
#include<climits>
#include<string>
#include<map>
#include<queue>
#include<vector>
#include<stack>
#include<set>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
#define pb(a) push(a)
#define INF 0x1f1f1f1f
#define lson idx<<1,l,mid
#define rson idx<<1|1,mid+1,r
#define PI 3.1415926535898
template<class T> T min(const T& a,const T& b,const T& c) {
return min(min(a,b),min(a,c));
}
template<class T> T max(const T& a,const T& b,const T& c) {
return max(max(a,b),max(a,c));
}
void debug() {
#ifdef ONLINE_JUDGE
#elsefreopen("in.txt","r",stdin);
//freopen("d:\\out1.txt","w",stdout);
#endif
}
int getch() {
int ch;
while((ch=getchar())!=EOF) {
if(ch!=‘ ‘&&ch!=‘\n‘)return ch;
}
return EOF;
}const int maxn=205;
struct TwoSat
{
int n;
vector<int> g[maxn*2];
bool mark[maxn*2];
int s[maxn*2],c;
bool dfs(int x)
{
if(mark[x^1])return false;
if(mark[x])return true;
mark[x]=true;
s[c++]=x;
for(int i=0;i<g[x].size();i++)
{
if(!dfs(g[x][i]))return false;
}
return true;
}
void init(int n)
{
this->n=n;
for(int i=0;i<n*2;i++)
g[i].clear();
memset(mark,0,sizeof(mark));
}
void add_clause(int x,int xval,int y,int yval)
{
x=x*2+xval;
y=y*2+yval;
g[x].push_back(y^1);
g[y].push_back(x^1);
}
bool solve()
{
for(int i=0;i<n*2;i+=2)
{
if(!mark[i]&&!mark[i+1])
{
c=0;
if(!dfs(i))
{
while(c>0)mark[s[--c]]=0;
if(!dfs(i+1))return false;
}
}
}
return true;
}
};TwoSat solver;
const int maxm=10005;
int a[maxm],b[maxm],c[maxm];
int n,m;
int check(int k)
{
solver.init(n);
for(int i=0;i<k;i++)
{
if(c[i]==0)
{
int x=a[i],y=b[i];
solver.add_clause(x,0,y,0);
}
if(c[i]==2)
{
int x=a[i],y=b[i];
solver.add_clause(x,1,y,1);
}
if(c[i]==1)
{
int x=a[i],y=b[i];
solver.add_clause(x,0,y,1);
solver.add_clause(x,1,y,0);
}
}
return solver.solve();
}
int main()
{
int t;
scanf("%d",&t);
for(int ca=1;ca<=t;ca++)
{
scanf("%d%d",&n,&m);
for(int i=0;i<m;i++)
scanf("%d%d%d",&a[i],&b[i],&c[i]);
int l=0,r=m+1;
while(l<r)
{
int mid=(r+l)>>1;
if(check(mid))
l=mid+1;
else r=mid;
}
printf("%d\n",l-1);
}
return 0;
}
UVALive 5010 Go Deeper 2sat