This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//https://oj.uz/problem/view/BOI17_plusminus
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define PI acos(-1)
#define LSB(i) ((i) & -(i))
#define ll long long
#define pb push_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define sc second
#define th third
#define fo fourth
#define pii pair<int,int>
#define pll pair<ll,ll>
#define ldb double
#define INF 1e15
#define MOD 1000000007
#define endl "\n"
#define all(data) data.begin(),data.end()
#define TYPEMAX(type) std::numeric_limits<type>::max()
#define TYPEMIN(type) std::numeric_limits<type>::min()
#define MAXK 100007
char s[MAXK];
ll x[MAXK],y[MAXK];
vector<pair<pll,ll>> vx,vy;
ll Pow(ll a,ll b)
{
if(b==0) return 1;
ll x=Pow(a,b/2)%MOD; x=(x*x)%MOD;
if(b&1) x=(x*a)%MOD;
return x;
}
int main()
{
ios::sync_with_stdio(false); cin.tie(0);
ll n,m,k,rez=0; cin>>n>>m>>k;
for(int i=1;i<=k;i++)
{
cin>>s[i]>>y[i]>>x[i];
if(s[i]=='+') s[i]='1';
else s[i]='0';
vx.pb({{x[i],y[i]},i});
vy.pb({{y[i],x[i]},i});
}
sort(all(vx)); sort(all(vy));
ll cnt=0,cur=0,curpar=-2;
for(auto p:vy)// svi redovi su +-
{
if(p.fi.fi==cur)
{
if(curpar==-2) curpar=abs(p.fi.sc%2-(s[p.sc]-'0'));
else if(curpar!=abs(p.fi.sc%2-(s[p.sc]-'0'))) {cnt=-1; break;}
}
else {cnt++; cur=p.fi.fi; curpar=abs(p.fi.sc%2-(s[p.sc]-'0'));};
}
if(cnt!=-1) rez=(rez+Pow(2,n-cnt));
cnt=0; cur=0; curpar=-2;
for(auto p:vx)// sve kolone su +-
{
if(p.fi.fi==cur)
{
if(curpar==-2) curpar=abs(p.fi.sc%2-(s[p.sc]-'0'));
else if(curpar!=abs(p.fi.sc%2-(s[p.sc]-'0'))) {cnt=-1; break;}
}
else {cnt++; cur=p.fi.fi; curpar=abs(p.fi.sc%2-(s[p.sc]-'0'));};
}
if(cnt!=-1) rez=(rez+Pow(2,m-cnt));
bool check=true; curpar=-2;
for(int i=1;i<=k;i++)
{
if(curpar==-2) curpar=abs((x[i]+y[i])%2-(s[i]-'0'));
else if(curpar!=abs((x[i]+y[i])%2-(s[i]-'0'))) {check=false; break;}
}
if(check) rez=((rez-1)%MOD+MOD)%MOD;
cout<<rez<<endl;
return 0;
}
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