QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#90517 | #5250. Combination Locks | SolitaryDream# | AC ✓ | 22ms | 3580kb | C++20 | 2.4kb | 2023-03-23 14:10:14 | 2023-03-23 14:10:18 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define FOR(i,s,t) for(int i=(s),_t=(t); i<=_t; ++i)
#define DOR(i,s,t) for(int i=(s),_t=(t); i>=_t; --i)
#define EOR(i,x) for(int i=Head[x]; ~i; i=Nxt[i])
const int N=1200,M=N*20;
int Head[N],E[M],Nxt[M],tol;
int cap[M];
void clear() {
tol=0;
memset(Head,-1,sizeof(Head));
}
void Edge(int x,int y,int c) {
E[tol]=y;cap[tol]=c;Nxt[tol]=Head[x];Head[x]=tol++;
E[tol]=x;cap[tol]=0;Nxt[tol]=Head[y];Head[y]=tol++;
}
int cur[N],dis[N];
int S,T;
bool bfs() {
static int Q[N],l,r;
memset(dis,-1,sizeof(dis));
l=1;r=0;
dis[S]=0;Q[++r]=S;
while(l<=r) {
int x=Q[l++];cur[x]=Head[x];
EOR(i,x) if(cap[i] && !~dis[E[i]]) {
dis[E[i]]=dis[x]+1;Q[++r]=E[i];
}
}
return ~dis[T];
}
int dfs(int x,int left) {
if(x==T || !left) return left;
int flow=0,t;
for(int &i=cur[x]; ~i; i=Nxt[i]) {
if(dis[E[i]]==dis[x]+1 && cap[i]) {
if(t=dfs(E[i],min(cap[i],left))) {
cap[i]-=t;cap[i^1]+=t;
flow+=t;left-=t;
if(!left) return flow;
}
}
}
return flow;
}
int dinic() {
int flow=0;
while(bfs()) {
flow+=dfs(S,1e9);
}
return flow;
}
int del[N];
int sz[N];
void solve() {
int n,m;
cin >> n >> m;
string A,B;
cin >> A >> B;
int st=0;
FOR(i,0,n-1) {
if(A[i]==B[i]) st*=2;
else st=st*2+1;
}
FOR(i,0,(1<<n)-1) {
if(i) sz[i]=sz[i^(i&-i)]+1;
del[i]=0;
}
while(m--) {
cin >> A;
cerr << A << endl;
int v=0;
FOR(i,0,n-1) {
if(A[i]=='=') v*=2;
else v=v*2+1;
}
del[v]=1;
}
clear();
S=1<<n,T=S+1;
FOR(i,0,(1<<n)-1) if(sz[i]%2==0) {
FOR(j,0,n-1) Edge(i,i^(1<<j),1);
}
FOR(i,0,(1<<n)-1) if(sz[i]%2==0 && !del[i] && i!=st) {
Edge(S,i,1);
}
FOR(i,0,(1<<n)-1) if(sz[i]%2==1 && !del[i] && i!=st) {
Edge(i,T,1);
}
dinic();
// cerr << " -- " << endl;
if(sz[st]%2==0) Edge(S,st,1);
else Edge(st,T,1);
cout << (dinic()?"Alice":"Bob") << '\n';
// cerr << " -- " << endl;
}
int main() {
ios::sync_with_stdio(false);
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: 3396kb
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: 3380kb
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: 6ms
memory: 3408kb
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: 2ms
memory: 3488kb
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: 7ms
memory: 3444kb
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: 3452kb
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: 17ms
memory: 3388kb
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: 22ms
memory: 3572kb
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: 3ms
memory: 3508kb
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: 4ms
memory: 3344kb
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: 3512kb
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: 3400kb
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: 4ms
memory: 3396kb
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: 3508kb
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: 3476kb
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: 22ms
memory: 3556kb
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: 5ms
memory: 3580kb
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