Submission #940720

# Submission time Handle Problem Language Result Execution time Memory
940720 2024-03-07T14:11:51 Z phoenix0423 Plus Minus (BOI17_plusminus) C++17
100 / 100
150 ms 17676 KB
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pll;
#define fastio ios::sync_with_stdio(false), cin.tie(0)
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define lowbit(x) x&-x
const int maxn = 2e5 + 5;
const int N = 1e9 + 7;

ll fpow(ll a, ll b){
    ll ret = 1;
    while(b){
        if(b & 1) ret = ret * a % N;
        a = a * a % N;
        b >>= 1;
    }
    return ret;
}

struct pt{
    int x, y, t;
    pt(int _x, int _y, int _t) : x(_x), y(_y), t(_t){}
};
bool compx(pt a, pt b){
    return a.x < b.x || (a.x == b.x && a.y < b.y);
}
bool compy(pt a, pt b){
    return a.y < b.y || (a.y == b.y && a.x < b.x);
}

signed main(void){
    fastio;
    int n, m, k;
    cin>>n>>m>>k;
    vector<pt> a;
    for(int i = 0; i < k; i++){
        int x, y;
        char t;
        cin>>t>>x>>y;
        a.pb(pt(x, y, (t == '-')));
    }
    if(n == 1 || m == 1){
        cout<<fpow(2, n + m - 1 - k)<<"\n";
        return 0;
    }
    sort(a.begin(), a.end(), compx);
    vector<int> fixed(2);
    map<int, int> st;
    for(int i = 0; i < k; i++){
        if(st.find(a[i].y) != st.end()){
            if(((a[i].x & 1) ^ a[i].t) != st[a[i].y]){
                fixed[0] = 1;
                break;
            }
        }    
        st[a[i].y] = (a[i].x & 1) ^ a[i].t;
    }
    st.clear();
    sort(a.begin(), a.end(), compy);
    for(int i = 0; i < k; i++){
        if(st.find(a[i].x) != st.end()){
            if(((a[i].y & 1) ^ a[i].t) != st[a[i].x]){
                fixed[1] = 1;
                break;
                cout<<0<<"\n";
                return 0;
            }
        }
        st[a[i].x] = (a[i].y & 1) ^ a[i].t;
    }
    if(fixed[0] && fixed[1]){
        cout<<0<<"\n";
        return 0;
    }
    set<int> fd[2];
    vector<int> bi(2, 1);
    for(int i = 0; i < k; i++){
        fd[0].insert(a[i].x), fd[1].insert(a[i].y);
        bi[((a[i].x + a[i].y) & 1)^ a[i].t] = 0;
    }
    if(fixed[0]){
        cout<<fpow(2, n - fd[0].size())<<"\n";
    }
    else if(fixed[1]){
        cout<<fpow(2, m - fd[1].size())<<"\n";
    }
    else{
        cout<<((fpow(2, m - fd[1].size()) + fpow(2, n - fd[0].size()) - bi[0] - bi[1] + N) % N)<<"\n";
    }
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 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 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 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 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 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 38 ms 3024 KB Output is correct
17 Correct 34 ms 2772 KB Output is correct
18 Correct 34 ms 2772 KB Output is correct
19 Correct 70 ms 2772 KB Output is correct
20 Correct 81 ms 2772 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 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 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 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 38 ms 3024 KB Output is correct
17 Correct 34 ms 2772 KB Output is correct
18 Correct 34 ms 2772 KB Output is correct
19 Correct 70 ms 2772 KB Output is correct
20 Correct 81 ms 2772 KB Output is correct
21 Correct 142 ms 11208 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 35 ms 3028 KB Output is correct
24 Correct 35 ms 3280 KB Output is correct
25 Correct 36 ms 3028 KB Output is correct
26 Correct 48 ms 5320 KB Output is correct
27 Correct 70 ms 6228 KB Output is correct
28 Correct 68 ms 6096 KB Output is correct
29 Correct 122 ms 14764 KB Output is correct
30 Correct 150 ms 17676 KB Output is correct