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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#428588#8770. Comparatorucup-team228#AC ✓584ms48176kbC++209.8kb2024-06-01 20:33:012024-06-01 20:33:02

Judging History

你现在查看的是最新测评结果

  • [2024-06-01 20:33:02]
  • 评测
  • 测评结果:AC
  • 用时:584ms
  • 内存:48176kb
  • [2024-06-01 20:33:01]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

struct Func {
    int res[2][2] = {};
    Func(char ch = '0') {
        if (ch == 'x') {
            for (int x = 0; x <= 1; x++) {
                for (int y = 0; y <= 1; y++) {
                    res[x][y] = x;
                }
            }
        } else if (ch == 'y') {
            for (int x = 0; x <= 1; x++) {
                for (int y = 0; y <= 1; y++) {
                    res[x][y] = y;
                }
            }
        } else if (ch == '0') {
            for (int x = 0; x <= 1; x++) {
                for (int y = 0; y <= 1; y++) {
                    res[x][y] = 0;
                }
            }
        } else {
            for (int x = 0; x <= 1; x++) {
                for (int y = 0; y <= 1; y++) {
                    res[x][y] = 1;
                }
            }
        }
    }
    int operator()(int x, int y) const {
        return res[x][y];
    }
};

ostream& operator<<(ostream& ostr, const Func& func) {
    for (int i = 0; i <= 1; i++) {
        for (int j = 0; j <= 1; j++) {
            ostr << func.res[i][j];
        }
        ostr << "\n";
    }
    return ostr;
}

struct LongFunc {
    int a = 0, b = 0;
    string expr;
    int r = -1;
};

istream& operator>>(istream& istr, LongFunc& long_func) {
    return istr >> long_func.a >> long_func.b >> long_func.expr >> long_func.r;
}

bool is_operator(char ch) {
    return ch == '!' || ch == '=' || ch == '&' || ch == '|' || ch == '^';
}

const int L = 1e6 + 10;
vector<int> g[L];

Func eval(int l, int r, const LongFunc& long_func) {
    assert(l == r); // must be one of the 'x', 'y', '0', or '1'
    return long_func.expr[l];
}

Func change_not(Func func) {
    for (int i = 0; i <= 1; i++) {
        for (int j = 0; j <= 1; j++) {
            func.res[i][j] ^= 1;
        }
    }
    return func;
}

Func merge_eq(const Func& lhs, const Func& rhs) {
    Func res;
    for (int i = 0; i <= 1; i++) {
        for (int j = 0; j <= 1; j++) {
            res.res[i][j] = lhs.res[i][j] == rhs.res[i][j];
        }
    }
    return res;
}

Func merge_and(const Func& lhs, const Func& rhs) {
    Func res;
    for (int i = 0; i <= 1; i++) {
        for (int j = 0; j <= 1; j++) {
            res.res[i][j] = lhs.res[i][j] & rhs.res[i][j];
        }
    }
    return res;
}

Func merge_or(const Func& lhs, const Func& rhs) {
    Func res;
    for (int i = 0; i <= 1; i++) {
        for (int j = 0; j <= 1; j++) {
            res.res[i][j] = lhs.res[i][j] | rhs.res[i][j];
        }
    }
    return res;
}

Func merge_xor(const Func& lhs, const Func& rhs) {
    Func res;
    for (int i = 0; i <= 1; i++) {
        for (int j = 0; j <= 1; j++) {
            res.res[i][j] = lhs.res[i][j] ^ rhs.res[i][j];
        }
    }
    return res;
}

Func merge(const Func& lhs, const Func& rhs, char trg_op) {
    if (trg_op == '=') {
        return merge_eq(lhs, rhs);
    } else if (trg_op == '&') {
        return merge_and(lhs, rhs);
    } else if (trg_op == '|') {
        return merge_or(lhs, rhs);
    } else if (trg_op == '^') {
        return merge_xor(lhs, rhs);
    } else {
        assert(false);
    }
}

Func dfs(int v, const LongFunc& long_func) {
    assert(long_func.expr[g[v].back()] == ')');
    vector<pair<char, Func>> cur;
    for (int i = 0; i + 1 < g[v].size(); i++) {
        int l = g[v][i], r = g[v][i + 1] - 1;
        if (long_func.expr[l] == '(') {
            cur.emplace_back('f', dfs(l, long_func));
        } else if (!is_operator(long_func.expr[l])) {
            cur.emplace_back('f', eval(l, r, long_func));
        } else {
            assert(l == r);
            cur.emplace_back(long_func.expr[l], Func());
        }
    }
    vector<pair<char, Func>> nxt;
    { // !
        nxt.clear();
        bool flag = false;
        for (const auto& [op, func] : cur) {
            if (op == '!') {
                flag ^= 1;
            } else {
                if (flag) {
                    assert(op == 'f');
                    nxt.emplace_back(op, change_not(func));
                    flag = false;
                } else {
                    nxt.emplace_back(op, func);
                }
            }
        }
        swap(cur, nxt);
    }
    for (char trg_op : "=&|^") {
        nxt.clear();
        bool flag = false;
        for (const auto& [op, func] : cur) {
            if (op == trg_op) {
                flag = true;
            } else {
                if (flag) {
                    assert(op == 'f' && !nxt.empty() && nxt.back().first == 'f');
                    auto prev = nxt.back().second;
                    nxt.pop_back();
                    nxt.emplace_back(op, merge(prev, func, trg_op));
                    flag = false;
                } else {
                    nxt.emplace_back(op, func);
                }
            }
        }
        swap(cur, nxt);
    }
    // cout << cur.size() << endl;
    assert(cur.size() == 1 && cur.front().first == 'f');
    return cur.front().second;
}

Func parse(LongFunc long_func) {
    int n = long_func.expr.size();
    long_func.expr = "(" + long_func.expr + ")";
    for (int i = 0; i <= n + 1; i++) {
        g[i].clear();
    }
    stack<int> st;
    st.push(0);
    for (int i = 1; i <= n + 1; i++) {
        g[st.top()].push_back(i);
        if (long_func.expr[i] == '(') {
            st.push(i);
        } else if (long_func.expr[i] == ')') {
            st.pop();
        }
    }
    return dfs(0, long_func);
}

const int N = 2e5 + 10;
const int K = 10;
const int M = (1 << K) + 10;
LongFunc long_func[N];
Func func[N];
int f[M][M];
bitset<M> bs[M];

int getbit(int mask, int bit) {
    return (mask >> bit) & 1;
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
#ifdef LOCAL
    freopen("input.txt", "r", stdin);
#endif

    int n, k;
    cin >> n >> k;
    for (int i = 1; i <= n; i++) {
        cin >> long_func[i];
    }
    int final_res;
    cin >> final_res;

//    n = 2e5;
//    k = 10;
//    for (int i = 1; i <= n; i++) {
//        long_func[i].a = 0;
//        long_func[i].b = 0;
//        long_func[i].expr = "y";
//        long_func[i].r = 0;
//    }

    for (int i = 1; i <= n; i++) {
        func[i] = parse(long_func[i]);
//        cout << long_func[i].expr << "\n";
//        cout << func[i] << "\n";
    }

    auto generate = [&](const vector<int>& bits) {
        vector<int> pos;
        for (int i = 0; i < k; i++) {
            if (bits[i] == -1) {
                pos.push_back(i);
            }
        }
        vector<int> res;
        for (int mask = 0; mask < (1 << pos.size()); mask++) {
            int cur = 0;
            for (int i = 0; i < k; i++) {
                if (bits[i] == 1) {
                    cur |= (1 << i);
                }
            }
            for (int i = 0; i < pos.size(); i++) {
                if (getbit(mask, i)) {
                    cur |= (1 << pos[i]);
                }
            }
            res.push_back(cur);
        }
        return res;
    };

    for (int x = 0; x < (1 << k); x++) {
        vector<int> bits(k, -1);
        bool was_stopped = false;
        for (int i = 1; i <= n; i++) {
            int a = long_func[i].a - 1;
            int b = long_func[i].b - 1;
            int r = long_func[i].r;
            int res[2] = {
                    func[i](getbit(x, a), 0),
                    func[i](getbit(x, a), 1)
            };
            if (res[0] != res[1]) {
                bool is_id = res[0] == 0;
                int cur_bit = is_id ? 1 : 0;
                if (bits[b] == -1) {
                    bits[b] = cur_bit;

                    vector<int> ys = generate(bits);
                    for (int y : ys) {
                        f[x][y] = r;
                    }

                    bits[b] = cur_bit ^ 1;
                } else {
                    if (bits[b] == cur_bit) {
                        vector<int> ys = generate(bits);
                        for (int y : ys) {
                            f[x][y] = r;
                        }
                        was_stopped = true;
                        break;
                    } else {
                        // skip
                    }
                }
            } else {
                if (res[0] == 0) {
                    // expression always 0 and skips through
                } else {
                    // expression always 1 and need to stop
                    vector<int> ys = generate(bits);
                    for (int y : ys) {
                        f[x][y] = r;
                    }
                    was_stopped = true;
                    break;
                }
            }
        }
        if (!was_stopped) {
            vector<int> ys = generate(bits);
            for (int y : ys) {
                f[x][y] = final_res;
            }
        }
    }

    for (int x = 0; x < (1 << k); x++) {
        for (int y = 0; y < (1 << k); y++) {
            bs[x][y] = f[x][y];
        }
    }

    ll ans1 = 0, ans2 = 0, ans3 = 0;
    for (int x = 0; x < (1 << k); x++) {
        ans1 += f[x][x] != 0;
    }
    for (int x = 0; x < (1 << k); x++) {
        for (int y = 0; y < (1 << k); y++) {
            ans2 += f[x][y] && f[y][x];
        }
    }
    for (int x = 0; x < (1 << k); x++) {
        for (int y = 0; y < (1 << k); y++) {
            if (f[x][y]) {
                ans3 += bs[y].count() - (bs[y] & bs[x]).count();
            }
        }
    }

    cout << ans1 << " " << ans2 << " " << ans3 << "\n";

#ifdef LOCAL
    cout << "\nTime elapsed: " << double(clock()) / CLOCKS_PER_SEC << " s.\n";
#endif
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 18180kb

input:

3 2
1 1 (x=0)&(y=1) 1
1 1 (x=1)&(y=(x^x)) 0
2 2 (x=1)|(y=0) 0
1

output:

0 0 0

result:

ok single line: '0 0 0'

Test #2:

score: 0
Accepted
time: 0ms
memory: 17904kb

input:

4 3
2 1 x=0&(y=1) 1
1 2 !x^!!y 0
2 3 ((x|1)=y)&1&1 1
3 1 !x&!x&!x 0
1

output:

3 25 52

result:

ok single line: '3 25 52'

Test #3:

score: 0
Accepted
time: 47ms
memory: 19260kb

input:

1413 3
1 3 0 0
3 3 !x 0
2 2 x=0 1
1 2 !y^0 1
2 3 (x^1) 0
3 2 ((!0)) 1
1 1 !!1=(y) 0
2 2 !(1^x)&y 1
3 2 (y)&1|!!1 0
3 1 !x=(y&y=y) 0
2 1 (((!1)^!x)) 1
2 3 !0=(0&y)=1&y 0
1 2 ((((!0)))|!1) 0
3 1 !(y=!1=x|(!x)) 0
1 1 ((((y=!y)))&!0) 0
2 3 ((y=1)^!1^!!1|0) 1
2 3 1|(!x)&!x|1|(x=1) 1
2 3 !0^!!!!y&0=(!1&!0...

output:

4 16 0

result:

ok single line: '4 16 0'

Test #4:

score: 0
Accepted
time: 228ms
memory: 22208kb

input:

181737 10
5 2 1 1
1 10 !1=!x 0
10 1 (1^x) 0
2 4 !1 1
10 8 y=(!1)^1 1
6 2 !((x&!x)) 1
1 10 !!((!x)|x) 1
7 10 (((0))) 0
7 3 !(1)^!x 0
10 4 (!1)&x 0
7 7 !y&!0 1
8 8 !1=(x)|1^1 1
2 6 ((!!!x)) 0
7 2 1 1
2 2 y=1=0 0
6 3 (!0) 0
6 4 0 0
1 1 (!1) 1
1 8 y 1
3 5 !x|!x^!1 0
4 7 (!0) 0
3 4 !1&1&!1|!0 1
2 7 ((0|1...

output:

1024 1048576 0

result:

ok single line: '1024 1048576 0'

Test #5:

score: 0
Accepted
time: 8ms
memory: 48176kb

input:

1 3
1 1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...

output:

4 16 0

result:

ok single line: '4 16 0'

Test #6:

score: 0
Accepted
time: 4ms
memory: 17952kb

input:

1 1
1 1 x^y|1 0
1

output:

1 1 0

result:

ok single line: '1 1 0'

Test #7:

score: 0
Accepted
time: 5ms
memory: 18096kb

input:

1 1
1 1 x&y|1 0
1

output:

0 0 0

result:

ok single line: '0 0 0'

Test #8:

score: 0
Accepted
time: 0ms
memory: 17956kb

input:

1 1
1 1 x=y|1 0
1

output:

0 0 0

result:

ok single line: '0 0 0'

Test #9:

score: 0
Accepted
time: 4ms
memory: 17896kb

input:

2 2
1 2 !x&!y 1
1 1 !x&y 0
1

output:

4 12 2

result:

ok single line: '4 12 2'

Test #10:

score: 0
Accepted
time: 49ms
memory: 22832kb

input:

2 10
9 8 ((((!((!x=1))^(!1&(x|x|!y))&((!y&!x=(x=y)))&!((((x=1))&(0=(y))^(!!(!!x^1=x)&(x)^y&1=!x&1=(((!0^(1)^1))^!(((((y))|x|!y))))^!!0=!y&(0)|(y=x&!y&y=x)))=((((!!y&!!0|!0^!0)=!x))))^0&(((!1=!(!x)))|(((((x=1|!y|y)=(!1^1^0^(0)))=!0^1)))=(!(!1^(((((!1)^!x^0))))=(1)^((((y=((x))|(0)|(!1^1)))|(!!!y))=((!...

output:

0 0 0

result:

ok single line: '0 0 0'

Test #11:

score: 0
Accepted
time: 0ms
memory: 17872kb

input:

4 3
1 1 !!!!!!x 0
2 1 !!y 1
1 2 !!!!!x 1
2 2 !!!x 0
1

output:

4 16 0

result:

ok single line: '4 16 0'

Test #12:

score: 0
Accepted
time: 8ms
memory: 44988kb

input:

1 1
1 1 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((...

output:

1 1 0

result:

ok single line: '1 1 0'

Test #13:

score: 0
Accepted
time: 584ms
memory: 21300kb

input:

200000 10
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10 !x^!y 1
3 10...

output:

512 262144 134217728

result:

ok single line: '512 262144 134217728'

Test #14:

score: 0
Accepted
time: 5ms
memory: 18204kb

input:

10 3
3 1 (!x) 1
3 2 !1&x&1&!y 1
2 1 ((x)&y) 1
1 3 0 0
2 2 !1&0=y&0 1
3 3 (!y)^y 1
2 1 0|((!y)) 0
3 2 x 0
2 2 (y|1^x) 0
2 1 ((!0)|y) 0
1

output:

8 64 0

result:

ok single line: '8 64 0'

Test #15:

score: 0
Accepted
time: 4ms
memory: 17840kb

input:

0 3
1

output:

8 64 0

result:

ok single line: '8 64 0'