Submission #650460

#	Time	Username	Problem	Language	Result	Execution time	Memory
650460		Lobo	Plus Minus (BOI17_plusminus)	C++17	100 / 100	404 ms	36824 KiB

plusminus

#include<bits/stdc++.h>
using namespace std;
const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl long double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()

const int maxn = -1;
const int mod = 1e9+7;

int n, m, k;

int fastexp(int x) {
    int pw = 2;
    int ans = 1;
    for(int i = 0; i <= 30; i++) {
        if((1<<i)&x) {
            ans*= pw;
            ans%= mod;
        }
        pw*=pw;
        pw%= mod;
    }
    return ans;
}

void solve() {
    cin >> n >> m >> k;
    map<int,pair<int,int>> rwp,rwm,clp,clm;
    set<int> rw,cl;
    for(int i = 1; i <= k; i++) {
        char tp; cin >> tp;
        int x,y; cin >> y >> x;
        cl.insert(x);
        rw.insert(y);
        if(tp == '+') {
            if(y%2 == 1) clp[x].fr = 1;
            else clp[x].sc = 1;
            if(x%2 == 1) rwp[y].fr = 1;
            else rwp[y].sc = 1;
        }
        else {
            if(y%2 == 1) clm[x].fr = 1;
            else clm[x].sc = 1;
            if(x%2 == 1) rwm[y].fr = 1;
            else rwm[y].sc = 1;
        }
    }


    int cnf1 = 1;
    int cnf2 = 1;

    int ans1 = 1;
    int antm = 0;
    for(auto i : cl) {
        ans1*= fastexp(i-antm-1);
        ans1%= mod;
        int ok0 = 1;
        if(clm[i].sc || clp[i].fr) ok0 = 0;
        int ok1 = 1;
        if(clm[i].fr || clp[i].sc) ok1 = 0;

        ans1*= (ok0+ok1);
        ans1%= mod;

        if(i%2 == 1) {
            if(!ok1) cnf1 = 0;
            if(!ok0) cnf2 = 0;
        }
        else {
            if(!ok1) cnf2 = 0;
            if(!ok0) cnf1 = 0;
        }
        antm = i;
    }
    ans1*= fastexp(m+1-antm-1);
    ans1%= mod;

    int ans2 = 1;
    int antn = 0;
    for(auto i : rw) {
        ans2*= fastexp(i-antn-1);
        ans2%= mod;
        int ok0 = 1;
        if(rwm[i].sc || rwp[i].fr) ok0 = 0;
        int ok1 = 1;
        if(rwm[i].fr || rwp[i].sc) ok1 = 0;

        ans2*= (ok0+ok1);
        ans2%= mod;
        antn = i;
    }
    ans2*= fastexp(n+1-antn-1);
    ans2%= mod;

    cout << (ans1+ans2-cnf1-cnf2+mod)%mod << endl;
}

int32_t main() {
    ios::sync_with_stdio(false); cin.tie(0);

    // freopen("in.in", "r", stdin);
    // freopen("out.out", "w", stdout);
    int tt = 1;
    // cin >> tt;
    while(tt--) {
        solve();
    }

}

• Subtask 1: 12 / 12
• Subtask 2: 42 / 42
• Subtask 3: 46 / 46