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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#600448 | #5250. Combination Locks | hzy99999 | AC ✓ | 4ms | 3964kb | C++20 | 4.1kb | 2024-09-29 16:37:18 | 2024-09-29 16:37:22 |
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) + 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 && flow < limit; 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])
continue;
if (cnt[i] == 1)
{
add(i, T, 1);
continue;
}
add(S, i, 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] && !forbid[i])
q.push(i);
while (q.size())
{
int t = q.front();
q.pop();
for (int i = 0; i < n; i++)
{
int j = t ^ (1 << i);
if (!st[j] || forbid[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
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3708kb
input:
2 1 0 0 0 1 1 0 0 .
output:
Alice Bob
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 0ms
memory: 3812kb
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 Alice Bob Alice Bob Bob
result:
ok 8 lines
Test #3:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
20 4 4 4714 5245 ..=. ..== .==. ==.. 4 1 2697 1438 .=.. 4 5 9255 0677 ...= ..== =..= ==.= ==== 4 12 3292 7326 ...= ..=. ..== .=.. .=.= .==. =... =..= =.== ==.. ==.= ==== 4 9 8455 2536 ...= ..== .=.. .=.= .==. .=== =... ==.. ===. 4 12 5755 1517 ...= ..=. ..== .=.. .=.= .=== =..= =.=. =.== ==.. ==.= =...
output:
Alice Bob Alice Bob Bob Alice Bob Bob Alice Alice Bob Alice Alice Bob Bob Bob Bob Bob Bob Bob
result:
ok 20 lines
Test #4:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
20 5 30 99942 90170 ..... ....= ...== ..=.. ..=.= ..==. ..=== .=... .=..= .=.=. .=.== .==.. .==.= .===. .==== =...= =..=. =..== =.=.. =.=.= =.==. =.=== ==... ==..= ==.=. ==.== ===.. ===.= ====. ===== 5 14 11760 95480 ...=. ...== ..=.. ..=.= .=... .=..= .==== =.... =...= =.=.. =.==. ==... ==.== =====...
output:
Bob Alice Alice Alice Alice Bob Bob Bob Alice Alice Alice Bob Alice Alice Alice Alice Alice Alice Alice Bob
result:
ok 20 lines
Test #5:
score: 0
Accepted
time: 1ms
memory: 3664kb
input:
20 6 62 188256 588825 ...... .....= ....=. ....== ...=.. ...=.= ...==. ...=== ..=... ..=..= ..=.=. ..=.== ..==.. ..==.= ..===. ..==== .=.... .=...= .=..=. .=..== .=.=.. .=.=.= .=.==. .=.=== .==..= .==.=. .==.== .===.. .===.= .===== =..... =....= =...=. =...== =..=.. =..=.= =..==. =..=== =.=... =.=.....
output:
Bob Bob Alice Alice Alice Bob Bob Bob Bob Alice Bob Bob Alice Alice Alice Bob Alice Alice Alice Alice
result:
ok 20 lines
Test #6:
score: 0
Accepted
time: 1ms
memory: 3824kb
input:
20 7 34 1829551 8802318 ....=.= ...=.== ...===. ..=..=. ..=..== ..=.==. .=...== .=..=== .=.=.=. .=.==.. .==.... .==...= .==.=.= .==.=== .===.== =.....= =..=.=. =..=.== =..==.. =..==.= =.=.=.. =.=.=.= =.==..= =.==.=. =.===.. =.===.= =.===== ==..... ==..=== ==.==.= ===.... ===..== ====.== =====.= 7 56...
output:
Alice Bob Bob Alice Bob Bob Alice Bob Alice Bob Alice Alice Alice Bob Bob Alice Bob Bob Alice Bob
result:
ok 20 lines
Test #7:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
20 8 101 98515990 35971617 ......== ....==.. ....==.= ...=.=.. ...=.=.= ...=.==. ...==... ...==.== ...===.. ...===.= ...====. ..=..=.. ..=..==. ..=.=..= ..=.=.== ..=.==.= ..=.===. ..==...= ..==..== ..==.=.. ..==.=.= ..===..= .=...=.. .=...=.= .=...=== .=..=... .=..=..= .=..==.= .=..===. .=..==== .=....
output:
Alice Alice Bob Alice Alice Alice Alice Bob Bob Bob Bob Bob Bob Alice Bob Alice Bob Bob Alice Bob
result:
ok 20 lines
Test #8:
score: 0
Accepted
time: 0ms
memory: 3956kb
input:
20 9 280 799210637 072013670 ......... ......=.= ......==. .....=... .....=..= .....=.=. .....===. .....==== ....=.... ....=.==. ....==... ....==..= ....==.== ....===== ...=..... ...=....= ...=...== ...=..=.. ...=..=.= ...=..==. ...=.=... ...=.=..= ...=.=.=. ...=.=.== ...=.==.= ...=.==== ...==..=. ....
output:
Alice Bob Bob Alice Bob Bob Alice Alice Bob Bob Bob Bob Alice Bob Bob Alice Alice Bob Alice Bob
result:
ok 20 lines
Test #9:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
20 3 0 000 000 3 1 000 000 ... 3 1 000 000 =.. 3 2 000 000 ... =.. 3 1 000 000 .=. 3 2 000 000 ... .=. 3 2 000 000 =.. .=. 3 3 000 000 ... =.. .=. 3 1 000 000 ==. 3 2 000 000 ... ==. 3 2 000 000 =.. ==. 3 3 000 000 ... =.. ==. 3 2 000 000 .=. ==. 3 3 000 000 ... .=. ==. 3 3 000 000 =.. .=. ==. 3 4 0...
output:
Alice Bob Alice Alice Alice Alice Alice Alice Bob Bob Alice Bob Alice Bob Alice Alice Alice Alice Alice Alice
result:
ok 20 lines
Test #10:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
20 3 2 000 000 .=. ..= 3 3 000 000 ... .=. ..= 3 3 000 000 =.. .=. ..= 3 4 000 000 ... =.. .=. ..= 3 2 000 000 ==. ..= 3 3 000 000 ... ==. ..= 3 3 000 000 =.. ==. ..= 3 4 000 000 ... =.. ==. ..= 3 3 000 000 .=. ==. ..= 3 4 000 000 ... .=. ==. ..= 3 4 000 000 =.. .=. ==. ..= 3 5 000 000 ... =.. .=. =...
output:
Alice Alice Alice Alice Alice Bob Alice Alice Alice Alice Alice Alice Bob Bob Alice Bob Alice Bob Alice Alice
result:
ok 20 lines
Test #11:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
20 3 2 000 000 ==. =.= 3 3 000 000 ... ==. =.= 3 3 000 000 =.. ==. =.= 3 4 000 000 ... =.. ==. =.= 3 3 000 000 .=. ==. =.= 3 4 000 000 ... .=. ==. =.= 3 4 000 000 =.. .=. ==. =.= 3 5 000 000 ... =.. .=. ==. =.= 3 2 000 000 ..= =.= 3 3 000 000 ... ..= =.= 3 3 000 000 =.. ..= =.= 3 4 000 000 ... =.. ....
output:
Bob Bob Bob Bob Bob Bob Alice Bob Alice Bob Alice Alice Alice Alice Alice Alice Bob Bob Alice Bob
result:
ok 20 lines
Test #12:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
20 3 4 000 000 .=. ==. ..= =.= 3 5 000 000 ... .=. ==. ..= =.= 3 5 000 000 =.. .=. ==. ..= =.= 3 6 000 000 ... =.. .=. ==. ..= =.= 3 1 000 000 .== 3 2 000 000 ... .== 3 2 000 000 =.. .== 3 3 000 000 ... =.. .== 3 2 000 000 .=. .== 3 3 000 000 ... .=. .== 3 3 000 000 =.. .=. .== 3 4 000 000 ... =.. ....
output:
Alice Alice Alice Alice Bob Bob Alice Bob Alice Bob Alice Alice Bob Bob Bob Bob Bob Bob Alice Bob
result:
ok 20 lines
Test #13:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
20 3 2 000 000 ..= .== 3 3 000 000 ... ..= .== 3 3 000 000 =.. ..= .== 3 4 000 000 ... =.. ..= .== 3 3 000 000 .=. ..= .== 3 4 000 000 ... .=. ..= .== 3 4 000 000 =.. .=. ..= .== 3 5 000 000 ... =.. .=. ..= .== 3 3 000 000 ==. ..= .== 3 4 000 000 ... ==. ..= .== 3 4 000 000 =.. ==. ..= .== 3 5 000 0...
output:
Alice Bob Alice Alice Alice Alice Alice Alice Bob Bob Alice Alice Alice Bob Alice Alice Bob Bob Bob Bob
result:
ok 20 lines
Test #14:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
20 3 3 000 000 .=. =.= .== 3 4 000 000 ... .=. =.= .== 3 4 000 000 =.. .=. =.= .== 3 5 000 000 ... =.. .=. =.= .== 3 3 000 000 ==. =.= .== 3 4 000 000 ... ==. =.= .== 3 4 000 000 =.. ==. =.= .== 3 5 000 000 ... =.. ==. =.= .== 3 4 000 000 .=. ==. =.= .== 3 5 000 000 ... .=. ==. =.= .== 3 5 000 000 =...
output:
Bob Bob Alice Alice Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob Alice Bob Alice Bob Alice Alice
result:
ok 20 lines
Test #15:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
8 3 4 000 000 ==. ..= =.= .== 3 5 000 000 ... ==. ..= =.= .== 3 5 000 000 =.. ==. ..= =.= .== 3 6 000 000 ... =.. ==. ..= =.= .== 3 5 000 000 .=. ==. ..= =.= .== 3 6 000 000 ... .=. ==. ..= =.= .== 3 6 000 000 =.. .=. ==. ..= =.= .== 3 7 000 000 ... =.. .=. ==. ..= =.= .==
output:
Bob Bob Bob Bob Bob Bob Bob Bob
result:
ok 8 lines
Test #16:
score: 0
Accepted
time: 4ms
memory: 3752kb
input:
20 10 815 4819325421 9470583705 .........= ........=. .......=.. .......=.= .......==. .......=== ......=... ......=..= ......=.=. ......=.== ......==.. ......===. ......==== .....=.... .....=..== .....=.=.. .....==... .....==..= .....==.=. .....==.== .....===.. .....===.= .....====. .....===== .......
output:
Alice Alice Alice Bob Alice Alice Alice Alice Alice Bob Alice Alice Bob Bob Alice Bob Alice Alice Alice Alice
result:
ok 20 lines
Test #17:
score: 0
Accepted
time: 3ms
memory: 3964kb
input:
20 10 7 9410870639 8237933369 .....=.=.= ...==.==.. ..===....= =..==..=.= =..==.=.== =.====.=.= ====.===.= 10 285 0225666838 4493031931 .......... .......=.. .......=== ......==.. ......==.= ......===. .....=.=.. .....=.=== .....==... .....==.== .....===.. ....=...=. ....=..=== ....=.=... ....=.=..=...
output:
Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob Bob
result:
ok 20 lines