QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#424908 | #3223. Cellular Automaton | dengziyue | AC ✓ | 1ms | 4084kb | C++14 | 1.7kb | 2024-05-29 19:48:09 | 2024-05-29 19:48:09 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define max_n 2200
#define inf 0x3f3f3f3f
int tid;
int n;
int m;
char s[max_n+2];
struct E{int v,w,nx;}e[max_n*2+2];
int ei=1,fir[max_n+2];
int dis[max_n+2];
bool vis[max_n+2];
int ans[max_n+2];
int anspos=-1;
void addedge(int u,int v,int w){e[++ei]=(E){v,w,fir[u]}; fir[u]=ei;}
bool spfa(){
memset(dis,inf,sizeof(dis));
memset(vis,0,sizeof(vis));
queue<int>q;
dis[0]=0; vis[0]=1; q.push(0);
while(!q.empty()){
int u=q.front(); q.pop(); vis[u]=false;
for(int i=fir[u],v;i;i=e[i].nx){
v=e[i].v;
if(dis[u]+e[i].w<dis[v]){
dis[v]=dis[u]+e[i].w;
if(dis[0]<0)return false;
if(!vis[v]){vis[v]=true; q.push(v);}
}
}
}
return dis[0]>=0;
}
bool check(){
ei=1; memset(fir,0,sizeof(fir));
for(int u=0,v;u<(1<<(n*2));++u){
for(int x=0;x<=1;++x){
v=(u*2+x)&((1<<(n*2))-1);
if(ans[u*2+x]!=-1){addedge(u,v,ans[u*2+x]-x); addedge(v,u,x-ans[u*2+x]);}
else{
if(!x){addedge(u,v,1); addedge(v,u,0);}
else{addedge(u,v,0); addedge(v,u,1);}
}
}
}
return spfa();
}
int main(){
tid=1;
for(int ca=1;ca<=tid;++ca){
scanf("%d%s",&n,s); m=strlen(s);
if(s[0]=='1'){printf("no\n"); continue;}
for(int i=0;i<m;++i)ans[i]=s[i]-'0';
if(check()){printf("%s\n",s); continue;}
anspos=-1;
for(int i=m-1;i>=0;--i){
if(s[i]=='1')continue;
for(int j=0;j<i;++j)ans[j]=s[j]-'0';
ans[i]=1;
for(int j=i+1;j<m;++j)ans[j]=-1;
if(check()){anspos=i; break;}
}
if(anspos==-1){printf("no\n"); continue;}
for(int i=anspos+1;i<m;++i){
ans[i]=0;
if(!check())ans[i]=1;
}
for(int i=0;i<m;++i)printf("%d",ans[i]);printf("\n");
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3740kb
input:
1 11111111
output:
no
result:
ok single line: 'no'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
1 11111101
output:
no
result:
ok single line: 'no'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
1 11001011
output:
no
result:
ok single line: 'no'
Test #4:
score: 0
Accepted
time: 0ms
memory: 4000kb
input:
1 10111110
output:
no
result:
ok single line: 'no'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
1 10000010
output:
no
result:
ok single line: 'no'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
1 00100011
output:
00110011
result:
ok single line: '00110011'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
1 01000001
output:
01000111
result:
ok single line: '01000111'
Test #8:
score: 0
Accepted
time: 0ms
memory: 4052kb
input:
1 00000100
output:
00001111
result:
ok single line: '00001111'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
1 01001000
output:
01010101
result:
ok single line: '01010101'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
1 00001000
output:
00001111
result:
ok single line: '00001111'
Test #11:
score: 0
Accepted
time: 0ms
memory: 4040kb
input:
1 00000000
output:
00001111
result:
ok single line: '00001111'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
2 11111111111111111111111111111111
output:
no
result:
ok single line: 'no'
Test #13:
score: 0
Accepted
time: 0ms
memory: 4012kb
input:
2 11111111001111111111111111111110
output:
no
result:
ok single line: 'no'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
2 11111011011111001110111011011101
output:
no
result:
ok single line: 'no'
Test #15:
score: 0
Accepted
time: 0ms
memory: 4012kb
input:
2 11011101110111101111111101110111
output:
no
result:
ok single line: 'no'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
2 11011011111000101011001101110011
output:
no
result:
ok single line: 'no'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
2 00010000010001100111101111101110
output:
00010000010100001101111101011111
result:
ok single line: '00010000010100001101111101011111'
Test #18:
score: 0
Accepted
time: 0ms
memory: 3740kb
input:
2 01001010101010011010011000111001
output:
01010000010100000101111101011111
result:
ok single line: '01010000010100000101111101011111'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
2 10001110000000000000010000100001
output:
no
result:
ok single line: 'no'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
2 00100010010010010000001000000101
output:
00100011000000000010111111111111
result:
ok single line: '00100011000000000010111111111111'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
2 00100000000001000000100000000000
output:
00100000000011110010110011111111
result:
ok single line: '00100000000011110010110011111111'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
2 00000000000000000000000000000000
output:
00000000000000001111111111111111
result:
ok single line: '00000000000000001111111111111111'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
3 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
output:
no
result:
ok single line: 'no'
Test #24:
score: 0
Accepted
time: 0ms
memory: 4016kb
input:
3 10101011111111111111111111111111110111111111110011111111111111101111111110111101111111111111111100111111101111101011111110111111
output:
no
result:
ok single line: 'no'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
3 11111100111111101101111111111110111110111111111110101101010111111111111011011111111101110111011101111111010011111111111011011111
output:
no
result:
ok single line: 'no'
Test #26:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
3 10111110011110010111101011101011111000100110111111001111111011110110010111111001111101010010110000101111111010111111111111011001
output:
no
result:
ok single line: 'no'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
3 11101110111001011110110100001111010111000000010010011001011100111111110011100010011010011011111111010011111110000111010111011100
output:
no
result:
ok single line: 'no'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
3 10101111000011010011010111111011000100100001101000001011111011101000110101011001110110011010001101111010011101111000011111111101
output:
no
result:
ok single line: 'no'
Test #29:
score: 0
Accepted
time: 1ms
memory: 3896kb
input:
3 00000000000010000000110001000001011101000011001001000001011101000011010000000001000101000000100101100001010011111100001111100000
output:
00000000000010000000110100000000000000100000100000001111111111111111111111111011000011011111000000000010111110111111111111111111
result:
ok single line: '000000000000100000001101000000...0000010111110111111111111111111'
Test #30:
score: 0
Accepted
time: 1ms
memory: 4084kb
input:
3 01000000110100111100001000001001000011100000010101110100001000000010010000110100000001100110001010010000001100000000000001011100
output:
01000001000000000000000000000000000100010000001101010001000000000111110111111111111111111111111111011101111111110101000111111111
result:
ok single line: '010000010000000000000000000000...1011101111111110101000111111111'
Test #31:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
3 00100010001000100000000000000001100000100000000100000000001010100100000000001000110000000000000000101000000000000000010000000000
output:
00100010001000100000000000000011000001000000000000101100011011110010111011101110000011001111111111110111111111111110111101101111
result:
ok single line: '001000100010001000000000000000...1110111111111111110111101101111'
Test #32:
score: 0
Accepted
time: 1ms
memory: 3796kb
input:
3 00100000000100000010000000010101000000000100000000001100000000000000000000000100100000000001000000000000000000010000010000001000
output:
00100000000100000010000011111111000000000101000000101111011111110010110000010000111011110000000011111111010111111110111101111111
result:
ok single line: '001000000001000000100000111111...1111111010111111110111101111111'
Test #33:
score: 0
Accepted
time: 1ms
memory: 3800kb
input:
3 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
output:
00000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111
result:
ok single line: '000000000000000000000000000000...1111111111111111111111111111111'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
1 00011101
output:
00011101
result:
ok single line: '00011101'
Test #35:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
1 00011000
output:
00011101
result:
ok single line: '00011101'
Test #36:
score: 0
Accepted
time: 0ms
memory: 3740kb
input:
1 11111111
output:
no
result:
ok single line: 'no'