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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#139355 | #5250. Combination Locks | UNos_maricones | AC ✓ | 8ms | 3892kb | C++20 | 3.5kb | 2023-08-13 02:34:37 | 2023-08-13 02:34:42 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std ;
#define ff first
#define ss second
#define pb push_back
typedef long long ll;
typedef pair<ll,ll> ii;
typedef long double lf;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll SQ = 800;
const ll N = 3e5+5;
const ll mod = 1e9+7;
const ll oo = 1e18;
/// Complexity: O(|E|*|V|^2)
/// Tested: https://tinyurl.com/ya9rgoyk
struct edge { int v, cap, inv, flow; };
struct network {
int n, s, t;
vector<int> lvl;
vector<vector<edge>> g;
network(int n) : n(n), lvl(n), g(n) {}
void add_edge(int u, int v, int c) {
// cout << u << ' ' << v << ' ' << c << '\n';
g[u].push_back({v, c, g[v].size(), 0});
g[v].push_back({u, 0, g[u].size()-1, c});
}
bool bfs() {
fill(lvl.begin(), lvl.end(), -1);
queue<int> q;
lvl[s] = 0;
for(q.push(s); q.size(); q.pop()) {
int u = q.front();
for(auto &e : g[u]) {
if(e.cap > 0 && lvl[e.v] == -1) {
lvl[e.v] = lvl[u]+1;
q.push(e.v);
}
}
}
return lvl[t] != -1;
}
int dfs(int u, int nf) {
if(u == t) return nf;
int res = 0;
for(auto &e : g[u]) {
if(e.cap > 0 && lvl[e.v] == lvl[u]+1) {
int tf = dfs(e.v, min(nf, e.cap));
res += tf; nf -= tf; e.cap -= tf;
g[e.v][e.inv].cap += tf;
g[e.v][e.inv].flow -= tf;
e.flow += tf;
if(nf == 0) return res;
}
}
if(!res) lvl[u] = -1;
return res;
}
int max_flow(int so, int si, int res = 0) {
s = so; t = si;
while(bfs()) res += dfs(s, INT_MAX);
return res;
}
};
int main(){
#ifdef LOCAL
freopen("input.txt","r",stdin);
#endif // LOCAL
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
int t; cin >> t;
while (t--) {
int n, c; cin >> n >> c;
string s1, s2; cin >> s1 >> s2;
int s = 0;
for (int i = 0; i < n; ++i) {
if (s1[i] == s2[i]) s ^= (1<<i);
}
vector <int> forb((1<<n));
for (int i = 0; i < c; ++i) {
string x; cin >> x;
int rx = 0;
for (int j = 0; j < n; ++j) {
if (x[j] == '=') rx ^= (1<<j);
}
forb[rx] = 1;
}
int oness = __builtin_popcount(s);
network net(2 + (1<<n));
for (int i = 0; i < (1<<n); ++i) {
int onesi = __builtin_popcount(i);
if (onesi % 2 == oness % 2) {
net.add_edge(0, i + 1, 1);
for (int j = 0; j < n; ++j) {
int cn = i ^ (1<<j);
if (!forb[i] && !forb[cn]) {
net.add_edge(i + 1, cn + 1, 1);
}
}
}
else net.add_edge(i + 1, 1 + (1<<n), 1);
}
net.max_flow(0, 1 + (1<<n));
queue <int> q;
q.push(s + 1);
vector <int> visi(2 + (1<<n));
visi[s + 1]=1;
// oness = __builtin_popcount(s+1);
while (q.size()) {
int curr = q.front(); q.pop();
for (auto &e : net.g[curr]) {
if (e.v == 0 || e.v == 1 + (1<<n)) continue;
int onesv = __builtin_popcount(e.v-1);
if (((onesv % 2 == oness % 2 && e.cap == 0) || (onesv % 2 != oness % 2 && e.cap == 0)) && !visi[e.v]) {
q.push(e.v);
visi[e.v]=1;
}
}
}
int can = 1;
for (auto &e : net.g[0]) {
// cout << e.v << ' ' << e.cap << ' ' << visi[e.v] << '\n';
if (e.cap && visi[e.v])
can=0;
}
if (can) cout << "Alice\n";
else cout << "Bob\n";
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3572kb
input:
2 1 0 0 0 1 1 0 0 .
output:
Alice Bob
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 1ms
memory: 3532kb
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: 1ms
memory: 3592kb
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: 3544kb
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: 3500kb
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: 2ms
memory: 3588kb
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: 3ms
memory: 3648kb
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: 5ms
memory: 3716kb
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: 3584kb
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: 3608kb
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: 1ms
memory: 3540kb
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: 3604kb
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: 1ms
memory: 3536kb
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: 1ms
memory: 3544kb
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: 1ms
memory: 3536kb
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: 8ms
memory: 3832kb
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: 7ms
memory: 3892kb
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