QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#463238 | #8770. Comparator | std_abs# | AC ✓ | 156ms | 278912kb | C++20 | 3.7kb | 2024-07-04 16:18:06 | 2024-07-04 16:18:07 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
#define pb push_back
#define all(a) a.begin(), a.end()
#define sz(a) ((int)a.size())
const int mod = 1e9 + 7, N = 100000;
struct ST {
vector <vector <pii>> val;
ST (vector <pii> a) {
int n = a.size();
int g = __lg(n) + 1;
val.assign(g, vector <pii>(n));
for (int i = 0; i < n; ++i) {
val[0][i] = a[i];
}
for (int j = 1; j < g; ++j) {
for (int i = 0; i + (1 << j) <= n; ++i) {
val[j][i] = min(val[j - 1][i], val[j - 1][i + (1 << j - 1)]);
}
}
}
pii query(int l, int r) {
int cg = __lg(r - l);
return min(val[cg][l], val[cg][r - (1 << cg)]);
}
};
vector <pii> solve(string s) {
int n = s.size();
vector <pii> val(n);
for (int i = 0; i < n; ++i) {
if (i) {
val[i] = val[i - 1];
}
if (s[i] == '(') {
val[i].first++;
val[i].second = 6 * n + i;
} else if (s[i] == ')') {
val[i].first--;
val[i].second = 6 * n + i;
} else if (s[i] == '!') {
val[i].second = 5 * n + i;
} else if (s[i] == '=') {
val[i].second = 4 * n + i;
} else if (s[i] == '&') {
val[i].second = 3 * n + i;
} else if (s[i] == '|') {
val[i].second = 2 * n + i;
} else if (s[i] == '^') {
val[i].second = 1 * n + i;
} else {
val[i].second = 7 * n + i;
}
}
ST DS(val);
auto solve = [&](auto self, int l, int r, int vx, int vy) -> int {
if (r - l == 1) {
if (s[l] == 'x') {
return vx;
} else if (s[l] == 'y') {
return vy;
} else {
assert('0' <= s[l] && s[l] <= '1');
return s[l] - '0';
}
}
auto [dep, id] = DS.query(l, r);
int type = id / n, pos = id % n;
if (type == 1) {
return self(self, l, pos, vx, vy) ^ self(self, pos + 1, r, vx, vy);
} else if (type == 2) {
return self(self, l, pos, vx, vy) | self(self, pos + 1, r, vx, vy);
} else if (type == 3) {
return self(self, l, pos, vx, vy) & self(self, pos + 1, r, vx, vy);
} else if (type == 4) {
return self(self, l, pos, vx, vy) == self(self, pos + 1, r, vx, vy);
} else if (type == 5) {
assert(pos == l);
return self(self, l + 1, r, vx, vy) ^ 1;
} else {
assert(s[l] == '(' && s[r - 1] == ')');
return self(self, l + 1, r - 1, vx, vy);
}
};
vector <pii> res;
for (int vx : {0, 1}) for (int vy : {0, 1}) {
if (solve(solve, 0, n, vx, vy) == 1) {
res.emplace_back(vx, vy);
}
}
return res;
}
int main() {
ios::sync_with_stdio(false), cin.tie(0);
int n, k;
cin >> n >> k;
vector vis(2 * k, vector <int>(2 * k, false));
vector <array <int, 5>> events;
for (int i = 0; i < n; ++i) {
int a, b; string s; int r;
cin >> a >> b >> s >> r, --a, --b;
auto res = solve(s);
for (auto [x, y] : res) {
int nx = a + x * k, ny = b + y * k;
if (!vis[nx][ny]) {
vis[nx][ny] = true;
events.pb({a, x, b, y, r});
}
}
}
int final; cin >> final;
vector table(1 << k, vector <int>(1 << k, final));
vector <bitset <1024>> row(1 << k), col(1 << k);
for (int x = 0; x < 1 << k; ++x) for (int y = 0; y < 1 << k; ++y) {
for (auto [px, vx, py, vy, r] : events) {
if ((x >> px & 1) == vx && (y >> py & 1) == vy) {
table[x][y] = r;
break;
}
}
if (table[x][y]) {
row[x][y] = 1, col[y][x] = 1;
}
}
int cnt[3] = {0, 0, 0};
for (int x = 0; x < 1 << k; ++x) if (table[x][x]) {
cnt[0]++;
}
for (int x = 0; x < 1 << k; ++x) for (int y = 0; y < 1 << k; ++y) {
if (table[x][y] == 1 && table[y][x] == 1) {
cnt[1]++;
}
}
for (int x = 0; x < 1 << k; ++x) for (int y = 0; y < 1 << k; ++y) {
if (table[x][y] == 0) {
cnt[2] += (row[x] & col[y]).count();
}
}
cout << cnt[0] << ' ' << cnt[1] << ' ' << cnt[2] << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3596kb
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: 3652kb
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: 66ms
memory: 3904kb
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: 120ms
memory: 7644kb
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: 156ms
memory: 278912kb
input:
1 3 1 1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...
output:
4 16 0
result:
ok single line: '4 16 0'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3584kb
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: 3608kb
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: 3588kb
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: 3588kb
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: 66ms
memory: 12880kb
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: 3656kb
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: 12ms
memory: 36560kb
input:
1 1 1 1 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((...
output:
1 1 0
result:
ok single line: '1 1 0'
Test #13:
score: 0
Accepted
time: 101ms
memory: 7592kb
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: 0ms
memory: 3592kb
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: 0ms
memory: 3608kb
input:
0 3 1
output:
8 64 0
result:
ok single line: '8 64 0'