Submission #879212

#TimeUsernameProblemLanguageResultExecution timeMemory
879212sofija6Plus Minus (BOI17_plusminus)C++14
100 / 100
439 ms41140 KiB
#include <bits/stdc++.h> #define ll long long #define MOD 1000000007 using namespace std; map<ll,set<ll> > rplus,cplus,rminus,cminus; bool Check_Rows() { set<pair<ll,ll> > s; for (auto i : rplus) { if (i.second.size()==2) return false; s.insert({i.first,*(i.second.begin())}); } for (auto i : rminus) { if (i.second.size()==2 || s.count({i.first,*(i.second.begin())})) return false; } return true; } bool Check_Columns() { set<pair<ll,ll> > s; for (auto i : cplus) { if (i.second.size()==2) return false; s.insert({i.first,*(i.second.begin())}); } for (auto i : cminus) { if (i.second.size()==2 || s.count({i.first,*(i.second.begin())})) return false; } return true; } ll Exp(ll x,ll y) { ll val[35]; val[0]=x; for (ll i=1;i<31;i++) val[i]=(val[i-1]*val[i-1])%MOD; ll ans=1,cur=30; while (y) { if ((1<<cur)<=y) { y-=(1<<cur); ans=(ans*val[cur])%MOD; } cur--; } return ans; } bool Check_Chess(ll x,ll y) { if (!Check_Rows() || !Check_Columns()) return false; for (auto i : rplus) { if ((i.first&1) && *(i.second.begin())!=x) return false; if (!(i.first&1) && *(i.second.begin())!=y) return false; } for (auto i : rminus) { if ((i.first&1) && *(i.second.begin())!=y) return false; if (!(i.first&1) && *(i.second.begin())!=x) return false; } return true; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); ll n,m,k,x,y,ans=0; set<ll> rows,cols; char c; cin >> n >> m >> k; for (ll i=1;i<=k;i++) { cin >> c >> x >> y; rows.insert(x); cols.insert(y); if (c=='+') { rplus[x].insert(y&1); cplus[y].insert(x&1); continue; } rminus[x].insert(y&1); cminus[y].insert(x&1); } if (Check_Rows()) ans+=Exp(2,n-rows.size()); if (Check_Columns()) ans+=Exp(2,m-cols.size()); ans=(ans-Check_Chess(1,0)-Check_Chess(0,1)+MOD)%MOD; cout << ans; return 0; }
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