Submission #879212

# Submission time Handle Problem Language Result Execution time Memory
879212 2023-11-26T22:56:08 Z sofija6 Plus Minus (BOI17_plusminus) C++14
100 / 100
439 ms 41140 KB
#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;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 420 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 420 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 52 ms 1276 KB Output is correct
17 Correct 42 ms 1112 KB Output is correct
18 Correct 43 ms 1280 KB Output is correct
19 Correct 47 ms 1104 KB Output is correct
20 Correct 49 ms 1108 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 420 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 2 ms 604 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 52 ms 1276 KB Output is correct
17 Correct 42 ms 1112 KB Output is correct
18 Correct 43 ms 1280 KB Output is correct
19 Correct 47 ms 1104 KB Output is correct
20 Correct 49 ms 1108 KB Output is correct
21 Correct 299 ms 29780 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 229 ms 28756 KB Output is correct
24 Correct 206 ms 28300 KB Output is correct
25 Correct 205 ms 28292 KB Output is correct
26 Correct 210 ms 33400 KB Output is correct
27 Correct 314 ms 34452 KB Output is correct
28 Correct 259 ms 34436 KB Output is correct
29 Correct 327 ms 34428 KB Output is correct
30 Correct 439 ms 41140 KB Output is correct