This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define all(s) s.begin(),s.end()
using namespace std;
typedef int ll;
ll n,m,k,a[300009],b[300009];
ll p[300009],sz[300009],d[300009];
vector<vector<ll> >v;
char c[300009];
bool is[300009],st[300009];
ll gp(ll z)
{
if(p[z]==z)
return z;
return p[z]=gp(p[z]);
}
void mrg(ll x,ll y)
{
x=gp(x),y=gp(y);
if(x==y)
return;
if(sz[x]<sz[y])
swap(x,y);
p[y]=x,sz[x]+=sz[y];
}
void dfs(ll id,ll op)
{
d[id]=max(d[id],op);
op=d[id];
if(d[id]==n)
return void(is[id]=1);
for(auto z:v[id])
{
dfs(z,op+1);
is[id]|=is[z];
}
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n>>m>>k;
v.resize(m+1);
for(ll i=1; i<=m; i++)
p[i]=i,sz[i]=1;
for(ll i=1; i<=k; i++)
{
cin>>a[i]>>c[i]>>b[i];
if(c[i]=='=')
mrg(a[i],b[i]);
}
for(ll i=1; i<=k; i++)
{
if(c[i]=='=')
continue;
if(c[i]=='<')
v[gp(a[i])].push_back(gp(b[i])),st[gp(b[i])]=1;
else
v[gp(b[i])].push_back(gp(a[i])),st[gp(a[i])]=1;
}
for(ll i=1;i<=m;i++)
if(st[i]==0&&p[i]==i)
dfs(i,1);
for(ll i=1;i<=m;i++)
{
if(is[gp(i)])
cout<<"K"<<d[gp(i)];
else
cout<<"?";
cout<<"\n";
}
return 0;
}
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