QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#681436#8770. ComparatorfwittAC ✓803ms35760kbC++204.8kb2024-10-27 09:22:252024-10-27 09:22:25

Judging History

你现在查看的是最新测评结果

  • [2024-10-27 09:22:25]
  • 评测
  • 测评结果:AC
  • 用时:803ms
  • 内存:35760kb
  • [2024-10-27 09:22:25]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

#define rep(i, a, b) for (int i = (a); i < (b); i++)
#define all(x) begin(x), end(x)
#define sz(x) int((x).size())
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;

#ifdef LOCAL
auto operator<<(auto& o, auto x) -> decltype(x.first, o);
auto operator<<(auto& o, auto x) -> decltype(x.end(), o) {
  o << "{";
  for (int i = 0; auto y : x) o << ", " + !i++ * 2 << y;
  return o << "}";
}
auto operator<<(auto& o, auto x) -> decltype(x.first, o) {
  return o << "(" << x.first << ", " << x.second << ")";
}
void __print(auto... x) { ((cerr << x << " "), ...) << endl; }
#define debug(x...) __print("[" #x "]:", x)
#else
#define debug(...) 2137
#endif

vector<int> is_op;
vector<int> is_lit;
vector<int> lit_val;

pair<int, int> parse_multiple(const string &s, int pos);

// gdzie skonczyl
pair<int, int> parse_one(const string &s, const int pos) {
  if(is_lit[s[pos]]) {
    return {pos + 1, lit_val[s[pos]]};
  }
  if(s[pos] == '(') {
    auto [epos, ret] = parse_multiple(s, pos + 1);
    assert(s[epos] == ')');
    return {epos + 1, ret};
  }
  if(s[pos] == '!') {
    auto [epos, ret] = parse_one(s, pos+ 1);
    return {epos, ret ^ 0b1111};
  }
  assert(false);
}

using f_t = function<int(int, int)>;

vector<pair<char, f_t>> ops;

int eq(int a, int b) {return (~(a^b)) & 0b1111;}
int an(int a, int b) {return a & b;}
int rr(int a, int b) {return a | b;}
int xr(int a, int b) {return a ^ b;}

pair<int, int> parse_multiple(const string &s, const int pos) {
  vector<int> v;
  int ptr = pos;
  while(ptr < sz(s) && s[ptr] != ')') {
    if(is_op[s[ptr]]) {
      v.emplace_back(s[ptr++]);
      continue;
    }
    else {
      auto [epos, val] = parse_one(s, ptr);
      ptr = epos;
      v.emplace_back(val);
    }
  }
  for(auto [id, op] : ops) {
    int i = 0;
    vector<int> vv;
    while(i < sz(v)) {
      if(v[i] == id) {
        auto val = vv.back();
        vv.pop_back();
        vv.push_back(op(val, v[i + 1]));
        i += 2;
        continue;
      }
      if(is_op[v[i]]) {
        vv.push_back(v[i++]);
        continue;
      }

      assert(v[i] <= 0b1111);
      vv.push_back(v[i]);
      i += 1;
    } 
    v = vv;
  }
  return {ptr, v.back()};
}


int main() {
  cin.tie(0)->sync_with_stdio(0);

  ops = {
    {'=', eq},
    {'&', an},
    {'|', rr},
    {'^', xr},
  };


  is_op.resize(300);
  is_lit.resize(300);
  lit_val.resize(300);

  for(auto i : vector<char>{'=', '&', '|', '^'})
    is_op[i] = 1;

  for(auto i : vector<char>{'x', 'y', '0', '1'})
    is_lit[i] = 1;

  lit_val['0'] = 0b0000;
  lit_val['1'] = 0b1111;
  lit_val['x'] = 0b0011;
  lit_val['y'] = 0b0101;

  int n, k;
  cin >> n >> k;

  const int M = (1 << (k + k));

  vector d00(M, n + 1), d01(M, n + 1), d10(M, n + 1), d11(M, n + 1);

  vector<int> va(n);

  for(int _ = 0; _< n; _++) {
    int a, b;
    cin >> a >> b;
    --a;
    --b;
    string s;
    cin >> s;
    cin >> va[_];
    auto rr = parse_multiple(s, 0);
    int result = rr.second;

    auto inn = [&] (int &x, int y) {
      x = min(x, y);
    };

    debug(s, result);

    const int mm =   (1 << (a + k)) ^ (1 << b);

    debug(mm);

    if(result & 1)
      inn(d11[mm], _);
    if(result & 2)
      inn(d10[mm], _);
    if(result & 4)
      inn(d01[mm], _);
    if(result & 8)
      inn(d00[mm], _);
  }

  auto fi = [&] (vector<int> &a) {
    rep(i, 0, M) {
      rep(j, 0, 2 * k) {
        if(i & (1 << j)) {
          a[i] = min(a[i], a[i ^ (1 << j)]);
        }
      }
    }
  };

  int pad;
  cin >> pad;

  fi(d00);
  fi(d01);
  fi(d10);
  fi(d11);

  const int hm = (1 << k) - 1;

  using B = bitset<1024>;

  debug(k, M);

  vector<B> ve(1 << k, B());
  rep(i, 0, 1 << k) {
    rep(j, 0, 1 << k) {
      int ve0 = (d00[(i << k) | j]);
      int ve1 = (d01[(i << k) | (j ^ hm)]);
      int ve2 = (d10[((i ^ hm) << k) | j]);
      int ve3 = (d11[((i ^ hm) << k) | (j ^ hm)]);
      int mn = min({ve0, ve1, ve2, ve3});
      if(mn != n + 1)
        ve[i][j] = va[mn];
      else
        ve[i][j] = pad;
      debug(i, j, mn, ve[i][j]);
      debug(ve0, ve1, ve2, ve3);
    }
  } 

  rep(i, 0, 1 << k) {
    rep(j, 0, 1 << k)
      cerr << ve[i][j] << " ";
    cerr << endl;
  }


  int c0 = 0;

  rep(i, 0, 1 << k) {
    if(ve[i][i])
      ++c0;
  }

  int c1 = 0;

  rep(i, 0, 1 << k) {
    rep(j, 0, 1 << k) {
      if(ve[i][j] && ve[j][i])
        ++c1;
    }
  }

  int c2 = 0;

  rep(i, 0, 1 << k) {
    rep(j, 0, 1 << k) {
      if(ve[i][j]) {
        int add = (~ve[i] & ve[j]).count();
        c2 += add;
        debug(i, j, c2, ve[i] == ve[j]);
      }
    }
  }


  cout << c0 << " " << c1 << " " << c2 << endl;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3564kb

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: 1ms
memory: 3828kb

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: 48ms
memory: 3680kb

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: 744ms
memory: 20460kb

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: 7ms
memory: 35760kb

input:

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

output:

4 16 0

result:

ok single line: '4 16 0'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3564kb

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: 0ms
memory: 3576kb

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: 3600kb

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: 0ms
memory: 3568kb

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: 612ms
memory: 19848kb

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: 1ms
memory: 3640kb

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: 16ms
memory: 33376kb

input:

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

output:

1 1 0

result:

ok single line: '1 1 0'

Test #13:

score: 0
Accepted
time: 803ms
memory: 20560kb

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: 1ms
memory: 3640kb

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: 1ms
memory: 3576kb

input:

0 3
1

output:

8 64 0

result:

ok single line: '8 64 0'