Submission #1091181

# Submission time Handle Problem Language Result Execution time Memory
1091181 2024-09-20T03:36:09 Z Math4Life2020 Plus Minus (BOI17_plusminus) C++17
100 / 100
101 ms 14932 KB
#include <bits/stdc++.h>
using namespace std;
using ll = long long; 
using pii = pair<ll,ll>;
const ll p = 1e9+7;
const ll i2 = 5e8+4;

ll e2(ll x) {
    x %= (p-1);
    if (x==0) {
        return 1;
    } else if (x==1) {
        return 2;
    } else if (x%2==0) {
        ll y = e2(x/2);
        return (y*y)%p;
    } else {
        ll y = e2(x/2);
        return (2*y*y)%p;
    }
}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);
    /*freopen("io.txt","r",stdin);
    freopen("out.txt","w",stdout);*/
    ll N,M,K; cin >> N >> M >> K;
    if (K==0) {
        cout << (e2(N)+e2(M)-2)%p; exit(0);
    }
    ll pt = -1; ll ans = 0;
    map<ll,ll> px,py;
    for (ll k=0;k<K;k++) {
        string s; ll x,y; cin >> s >> x >> y;
        x--; y--;
        ll vpt,vpx,vpy;
        if (s=="+") {
            vpt = (x+y)%2;
            vpx = x%2;
            vpy = y%2;
        } else {
            vpt = (x+y+1)%2;
            vpx = (x+1)%2;
            vpy = (y+1)%2;
        }
        if (pt==-1) {
            pt=vpt;
        } else if (pt != vpt) {
            pt=-2;
        }
        if (py.find(y)==py.end()) {
            py[y]=vpx;
        } else if (py[y]!=vpx) {
            py[y]=-1;
        }
        if (px.find(x)==px.end()) {
            px[x]=vpy;
        } else if (px[x]!=vpy) {
            px[x]=-1;
        }
    }
    if (pt==-1) {
        ans += (p-2);
    } else if (pt==0 || pt==1) {
        ans += (p-1);
    }
    ll ax = e2(N); ll ay = e2(M);
    for (pii p0: px) {
        if (p0.second==-1) {
            ax = 0;
        } else {
            ax = (ax*i2)%p;
        }
    }
    for (pii p0: py) {
        if (p0.second==-1) {
            ay = 0;
        } else {
            ay = (ay*i2)%p;
        }
    }
    ans = (ans+ax+ay)%p;
    cout << ans;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 456 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 456 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 41 ms 1332 KB Output is correct
17 Correct 42 ms 1332 KB Output is correct
18 Correct 41 ms 1372 KB Output is correct
19 Correct 32 ms 1448 KB Output is correct
20 Correct 32 ms 1360 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 456 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 41 ms 1332 KB Output is correct
17 Correct 42 ms 1332 KB Output is correct
18 Correct 41 ms 1372 KB Output is correct
19 Correct 32 ms 1448 KB Output is correct
20 Correct 32 ms 1360 KB Output is correct
21 Correct 88 ms 9044 KB Output is correct
22 Correct 0 ms 352 KB Output is correct
23 Correct 87 ms 9128 KB Output is correct
24 Correct 86 ms 9048 KB Output is correct
25 Correct 86 ms 9044 KB Output is correct
26 Correct 83 ms 12596 KB Output is correct
27 Correct 82 ms 12620 KB Output is correct
28 Correct 82 ms 12532 KB Output is correct
29 Correct 87 ms 12628 KB Output is correct
30 Correct 101 ms 14932 KB Output is correct