QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#101392 | #5250. Combination Locks | DestroyXuanQuang# | AC ✓ | 12ms | 3608kb | C++23 | 2.9kb | 2023-04-29 13:27:52 | 2023-04-29 13:27:55 |
Judging History
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()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
struct UF {
vi e;
UF(int n) : e(n, -1) {}
bool sameSet(int a, int b) { return find(a) == find(b); }
int size(int x) { return -e[find(x)]; }
int find(int x) { return e[x] < 0 ? x : e[x] = find(e[x]); }
bool join(int a, int b) {
a = find(a), b = find(b);
if (a == b) return false;
if (e[a] > e[b]) swap(a, b);
e[a] += e[b]; e[b] = a;
return true;
}
};
bool dfs(int a, int L, vector<vi>& g, vi& btoa, vi& A, vi& B) {
if (A[a] != L) return 0;
A[a] = -1;
for (int b : g[a]) if (B[b] == L + 1) {
B[b] = 0;
if (btoa[b] == -1 || dfs(btoa[b], L + 1, g, btoa, A, B))
return btoa[b] = a, 1;
}
return 0;
}
int hopcroftKarp(vector<vi>& g, vi& btoa) {
int res = 0;
vi A(g.size()), B(btoa.size()), cur, next;
for (;;) {
fill(all(A), 0);
fill(all(B), 0);
/// Find the starting nodes for BFS (i.e. layer 0).
cur.clear();
for (int a : btoa) if(a != -1) A[a] = -1;
rep(a,0,sz(g)) if(A[a] == 0) cur.push_back(a);
/// Find all layers using bfs.
for (int lay = 1;; lay++) {
bool islast = 0;
next.clear();
for (int a : cur) for (int b : g[a]) {
if (btoa[b] == -1) {
B[b] = lay;
islast = 1;
}
else if (btoa[b] != a && !B[b]) {
B[b] = lay;
next.push_back(btoa[b]);
}
}
if (islast) break;
if (next.empty()) return res;
for (int a : next) A[a] = lay;
cur.swap(next);
}
/// Use DFS to scan for augmenting paths.
rep(a,0,sz(g))
res += dfs(a, 0, g, btoa, A, B);
}
}
void solve() {
int n, m; cin >> n >> m;
string p1, p2; cin >> p1 >> p2;
int st = 0;
for (int i = 0; i < n; i++) {
st <<= 1;
if (p1[i] == p2[i]) {
st |= 1;
}
}
vector<int> ban(1 << n);
for (int i = 0; i < m; i++) {
string s; cin >> s;
int msk = 0;
for (char c: s) {
msk <<= 1;
if (c == '=') msk |= 1;
}
ban[msk] = 1;
}
UF d(1 << n);
vector<vi> g(1 << n), g2(1 << n);
for (int i = 0; i < (1 << n); i++) {
for (int b = 0; b < n; b++) {
int j = i ^ (1 << b);
if (ban[i] || ban[j]) continue;
d.join(i, j);
if ((__builtin_popcount(i) % 2) == 0) {
g[i].push_back(j);
if (i != st && j != st) {
g2[i].push_back(j);
}
}
}
}
vi btoa((1 << n), -1), btoa2((1 << n), -1);
hopcroftKarp(g, btoa); hopcroftKarp(g2, btoa2);
int pm = 0, pm2 = 0;
for (int i = 0; i < (1 << n); i++) {
if (d.sameSet(i, st) && btoa[i] != -1) {
pm++;
}
if (d.sameSet(i, st) && btoa2[i] != -1) {
pm2++;
}
}
if (pm != pm2) {
cout << "Alice\n";
} else {
cout << "Bob\n";
}
}
signed main() {
ios::sync_with_stdio(0); cin.tie(0);
int t; cin >> t;
while (t--) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3360kb
input:
2 1 0 0 0 1 1 0 0 .
output:
Alice Bob
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 2ms
memory: 3376kb
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: 3380kb
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: 1ms
memory: 3384kb
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: 2ms
memory: 3412kb
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: 3ms
memory: 3424kb
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: 2ms
memory: 3496kb
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: 1ms
memory: 3492kb
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: 2ms
memory: 3404kb
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: 2ms
memory: 3444kb
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: 2ms
memory: 3368kb
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: 1ms
memory: 3412kb
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: 3452kb
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: 3456kb
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: 2ms
memory: 3448kb
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: 1ms
memory: 3608kb
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: 12ms
memory: 3532kb
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