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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#600356 | #5250. Combination Locks | hzy99999 | WA | 0ms | 3804kb | C++20 | 4.0kb | 2024-09-29 16:05:45 | 2024-09-29 16:05:46 |
Judging History
answer
#include <iostream>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <queue>
#include <vector>
using namespace std;
typedef long long LL;
const int N = 1 << 10, M = (6000 + N) * 2, INF = 0x3f3f3f3f;
int t;
int n, c;
string a, b;
bool forbid[N], st[N];
int h[N], e[M], ne[M], f[M], idx;
int d[N], cur[N];
int S, T, match[N], cnt[N];
void add(int a, int b, int c)
{
e[idx] = b, ne[idx] = h[a], f[idx] = c, h[a] = idx++;
e[idx] = a, ne[idx] = h[b], f[idx] = 0, h[b] = idx++;
}
bool bfs()
{
queue<int> q;
for (int i = 0; i <= (1 << n) + 1; i++)
d[i] = -1;
d[S] = 0, cur[S] = h[S];
q.push(S);
while (q.size())
{
int t = q.front();
q.pop();
for (int i = h[t]; ~i; i = ne[i])
{
int j = e[i];
if (d[j] == -1 && f[i])
{
d[j] = d[t] + 1;
cur[j] = h[j];
if (j == T)
return 1;
q.push(j);
}
}
}
return 0;
}
int find(int u, int limit)
{
int flow = 0;
if (u == T)
return limit;
for (int i = cur[u]; ~i; i = ne[i])
{
cur[u] = i;
int j = e[i];
if (d[j] == d[u] + 1 && f[i])
{
int t = find(j, min(f[i], limit - flow));
if (!t)
d[j] = -1;
flow += t, f[i] -= t, f[i ^ 1] += t;
}
}
return flow;
}
int dinic()
{
int res = 0, flow;
while (bfs())
while (flow = find(S, INF))
res += flow;
return res;
}
int calc(int x)
{
int res = 0;
for (int i = 0; i < n; i++)
if (x >> i & 1)
res++;
return res % 2;
}
void work()
{
S = 1 << n, T = (1 << n) + 1;
for (int i = 0; i < 1 << n; i++)
cnt[i] = calc(i);
cnt[S] = cnt[T] = -1;
for (int i = 0; i < 1 << n; i++) // 偶左,奇右
{
if (forbid[i] || cnt[i])
continue;
add(S, i, 1), add(i ^ 1, T, 1);
for (int k = 0; k < n; k++)
{
int x = i ^ (1 << k);
if (forbid[x])
continue;
add(i, x, 1);
}
}
dinic();
// cout << dinic() << endl;
for (int i = 0; i < idx; i += 2)
if (!f[i] && !cnt[e[i ^ 1]] && cnt[e[i]] == 1)
{
if (forbid[e[i ^ 1]] || forbid[e[i]])
continue;
match[e[i ^ 1]] = e[i], match[e[i]] = e[i ^ 1], st[e[i]] = st[e[i ^ 1]] = 1;
// cout << ":" << e[i ^ 1] << ' ' << e[i] << endl;
}
}
void bfs2()
{
queue<int> q;
for (int i = 0; i < 1 << n; i++)
if (!st[i])
q.push(i);
while (q.size())
{
int t = q.front();
q.pop();
for (int i = h[t]; ~i; i = ne[i])
{
int j = e[i];
if (!st[j])
continue;
if (!st[match[j]])
continue;
st[match[j]] = 0;
q.push(match[j]);
}
}
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> t;
while (t--)
{
cin >> n >> c;
cin >> a >> b;
for (int i = 0; i <= (1 << n) + 1; i++)
forbid[i] = st[i] = 0, h[i] = match[i] = -1;
idx = 0;
int ini = 0;
for (int i = 0; i < n; i++)
ini = ini * 2 + (a[i] == b[i]);
while (c--)
{
string temp;
int x = 0;
cin >> temp;
for (int i = 0; i < n; i++)
x = x * 2 + (temp[i] == '=');
forbid[x] = 1;
}
work();
bfs2();
// for (int i = 0; i < 1 << n; i++)
// if (st[i])
// cout << i << ' ';
// cout << endl;
if (st[ini])
cout << "Alice" << endl;
else
cout << "Bob" << endl;
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3804kb
input:
2 1 0 0 0 1 1 0 0 .
output:
Alice Bob
result:
ok 2 lines
Test #2:
score: -100
Wrong Answer
time: 0ms
memory: 3612kb
input:
8 2 0 00 00 2 1 00 00 .. 2 1 00 00 =. 2 2 00 00 .. =. 2 1 00 00 .= 2 2 00 00 .. .= 2 2 00 00 =. .= 2 3 00 00 .. =. .=
output:
Alice Alice Bob Bob Bob Alice Bob Bob
result:
wrong answer 4th lines differ - expected: 'Alice', found: 'Bob'