QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#748511 | #9118. Flip or Not | DaiRuiChen007 | WA | 660ms | 3896kb | C++17 | 1.5kb | 2024-11-14 20:36:17 | 2024-11-14 20:36:17 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int N=1e4;
typedef bitset<N+5> poly;
inline int deg(const poly &u) {
for(int i=N;~i;--i) if(u[i]) return i;
return 0;
}
inline poly operator *(const poly &x,const poly &y) {
static poly z,o; z.reset();
for(int i=0;i<N;++i) if(y[i]) o=x,o<<=i,z^=o;
return z;
}
inline array<poly,2> divp(poly x,const poly &y) {
static poly z,o; z.reset();
int dy=deg(y);
for(int i=N-dy;~i;--i) if(x[i+dy]) z.set(i),o=y,o<<=i,x^=o;
return {z,x};
}
inline poly operator /(const poly &x,const poly &y) {
return divp(x,y)[0];
}
inline poly operator %(const poly &x,const poly &y) {
return divp(x,y)[1];
}
inline array<poly,2> exgcd(poly x,poly y) { //px+qy=g
poly p,q; p.set(0);
while(y.any()) {
auto z=divp(x,y);
p^=z[0]*q,swap(p,q);
x=y,y=z[1];
}
return {x,p};
}
void read1(poly &x) {
string s; cin>>s;
for(int i=0;i<(int)s.size();++i) if(s[i]=='1') x.set(i);
}
void read2(poly &x) {
int n; cin>>n;
for(int i;n--;) cin>>i,x.set(i-1);
}
signed main() {
ios::sync_with_stdio(false);
int n;
poly S,T,A,B;
cin>>n,read1(S),read1(T),read2(A),read2(B);
A.flip(0),A.flip(n);
auto rs=exgcd(B,A);
poly g=rs[0],q0=rs[1],gs=S%g,gt=T%g,vs=S*q0%A,vt=T*q0%A;
int d=deg(g);
for(int k=1;k<=N*5;++k) {
gs<<=1; if(gs[d]) gs^=g;
vs<<=1; if(vs[n]) vs^=A;
if(gs!=gt) continue;
poly q=vs^vt;
if(deg(q)-d<k) {
q=q/g;
cout<<k<<"\n"; for(int i=k-1;~i;--i) cout<<(i<n&&q[i]); cout<<"\n";
return 0;
}
}
cout<<"-1\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3584kb
input:
5 00001 00111 3 1 2 3 2 3 5
output:
4 1001
result:
ok output is valid
Test #2:
score: 0
Accepted
time: 9ms
memory: 3644kb
input:
4 0110 1000 2 1 2 4 1 2 3 4
output:
-1
result:
ok output is valid
Test #3:
score: 0
Accepted
time: 1ms
memory: 3892kb
input:
1 0 1 1 1 1 1
output:
1 1
result:
ok output is valid
Test #4:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
8 11110000 10101011 6 2 3 5 6 7 8 3 4 7 8
output:
5 01110
result:
ok output is valid
Test #5:
score: 0
Accepted
time: 9ms
memory: 3560kb
input:
8 00010010 11000111 3 1 4 5 4 2 4 6 8
output:
-1
result:
ok output is valid
Test #6:
score: 0
Accepted
time: 12ms
memory: 3536kb
input:
8 00000111 10110100 6 3 4 5 6 7 8 4 1 3 7 8
output:
-1
result:
ok output is valid
Test #7:
score: 0
Accepted
time: 1ms
memory: 3896kb
input:
8 00101100 11100111 3 1 2 6 6 1 3 4 5 7 8
output:
8 10100111
result:
ok output is valid
Test #8:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
9 111001001 100001000 7 1 3 4 5 6 7 8 4 1 3 7 9
output:
2 01
result:
ok output is valid
Test #9:
score: 0
Accepted
time: 1ms
memory: 3520kb
input:
8 01100110 00000101 3 4 5 7 5 2 3 6 7 8
output:
13 0000000000000
result:
ok output is valid
Test #10:
score: 0
Accepted
time: 12ms
memory: 3664kb
input:
10 1001011001 0101100100 4 4 5 7 9 4 4 5 7 10
output:
-1
result:
ok output is valid
Test #11:
score: 0
Accepted
time: 1ms
memory: 3652kb
input:
7 1000010 1010101 4 3 4 5 6 4 1 2 4 5
output:
5 00110
result:
ok output is valid
Test #12:
score: 0
Accepted
time: 1ms
memory: 3536kb
input:
6 101011 101000 1 6 4 2 3 4 6
output:
2 11
result:
ok output is valid
Test #13:
score: 0
Accepted
time: 6ms
memory: 3648kb
input:
3 000 110 2 2 3 2 1 3
output:
-1
result:
ok output is valid
Test #14:
score: 0
Accepted
time: 1ms
memory: 3652kb
input:
19 1100010001111111100 0001101011001010110 10 2 3 4 5 6 7 9 14 15 19 10 3 5 6 8 10 11 12 17 18 19
output:
15 011001011010111
result:
ok output is valid
Test #15:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
7 0111111 0101011 6 2 3 4 5 6 7 4 1 3 5 7
output:
7 0000001
result:
ok output is valid
Test #16:
score: 0
Accepted
time: 1ms
memory: 3892kb
input:
17 10010100010100010 10101101101001101 8 3 5 8 9 12 14 15 17 8 1 3 5 8 10 12 14 15
output:
15 000001111100100
result:
ok output is valid
Test #17:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
13 1101000011011 1010001110110 4 3 5 6 13 8 2 3 4 7 8 10 11 13
output:
146 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010
result:
ok output is valid
Test #18:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
15 101011111011111 110110110101110 8 3 6 8 9 11 12 13 15 10 1 4 5 6 7 11 12 13 14 15
output:
13 0000010101111
result:
ok output is valid
Test #19:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
18 000000100100001110 011101100101001001 6 5 6 7 8 10 15 12 1 2 4 5 7 9 10 13 14 15 16 17
output:
13 1011100001110
result:
ok output is valid
Test #20:
score: 0
Accepted
time: 1ms
memory: 3896kb
input:
14 10111010011001 01010010010001 5 4 7 11 12 14 7 3 7 8 9 11 12 14
output:
485 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
result:
ok output is valid
Test #21:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
11 00011011101 00100111111 3 2 4 10 7 3 4 5 7 8 10 11
output:
11 00001001101
result:
ok output is valid
Test #22:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
8 00101000 01010101 4 2 6 7 8 4 1 3 4 6
output:
7 0010110
result:
ok output is valid
Test #23:
score: 0
Accepted
time: 1ms
memory: 3852kb
input:
15 100101100001100 001111110110000 10 2 4 5 6 7 8 9 12 14 15 6 3 6 9 10 13 14
output:
12 111010011101
result:
ok output is valid
Test #24:
score: 0
Accepted
time: 121ms
memory: 3600kb
input:
1910 0100011011011000010100001001000111111011010010111110101110001001010100001011001110011000000100011000111011010100011000101111100110011110001111000011100110001011010101011001010001001001011001110100101100010110111100110101110101101010110011100101101000001111100000000011110011100110101000101011000...
output:
-1
result:
ok output is valid
Test #25:
score: 0
Accepted
time: 479ms
memory: 3604kb
input:
4123 1000001000000011111010101100100111001110111010001100010000000111101101101101011101100001110011111011101010011001011010010101100110100101110100101100110110110101000100011110111100111101010110001000110000101110011001111011011101111011100101111101000111011110110011110000111000001011000011111101000...
output:
4122 0011010000011100001001110010000111111010101011000100100111101010010111100010010100010001111100110000011011011000011111001010110000011011001110011101001000001100011011000001001101111100101101100010100101001101011010111001001111100111110000111010110100100000011000100000000010000100101110011010010...
result:
ok output is valid
Test #26:
score: 0
Accepted
time: 560ms
memory: 3868kb
input:
4474 1011011010101101101000001000000111010011100001101010100010100111111100011101001000010010010110000101010011100001010001011111101111110011011000011001101110010111110100111011010100101100001111101111111010000110001010110001111111011000110100101100000111110000110011010010001100110110011100010011100...
output:
4471 1100101001110000010101100100100011000101000000110010110011111111111111000000110001110101100111011110110111101100001100110011100000100000110100111110111011011111111001110101111010010100100100111110100000000011000001011100101100110101100000111100010010111010001011001101101001001000110111101111000...
result:
ok output is valid
Test #27:
score: 0
Accepted
time: 206ms
memory: 3632kb
input:
2514 0010101111011001011010111000011011011000001001110001111100011100100110111110101000000100011011000110010011011100010000110000101001000110000010110011011100001010101011100100011010011111011011100111011111111100011110001000000000110100001000111110111101010100110010000001001101000100101001110111111...
output:
2513 0001010100001010010010011011101010110011010111100010000101010100000111010101001011001111101000100101001011010100101101000101011111110001000101010001110100011101011100000100000101111110111010110101000111010110111011011000110000001001001101110000111110010001000011000010010101100001101111100110001...
result:
ok output is valid
Test #28:
score: 0
Accepted
time: 660ms
memory: 3608kb
input:
4813 0010010010001011101101000111110101101010100111111010001000001010011010110111000100101100010001110010100101010011111010001111110001110011010010111000111110001011011100111010110101100000101000110001010110111011000101011001000111000001011000000010111011010001101001011010001011100010010011011101101...
output:
4817 0000000010011000110101000011101011011101100110100111011101000111001000000110101111111111000010101011100010101010101110110101111010100001011111110000010100110100000101010101110001011001111100001000110111011111101000000101010111001110111000101100000001111001101110011001100100101001110110110111101...
result:
ok output is valid
Test #29:
score: 0
Accepted
time: 431ms
memory: 3684kb
input:
4352 0011111100110101100101000100100010000111101010000100001011111110011101011011001001110110001111011101101101010011111011011000101010100011110011010001011100111110111001010010101100111011111101011000101011011100101011010100000011110000010000100001000111101100001101101010000100110100101000111100100...
output:
-1
result:
ok output is valid
Test #30:
score: 0
Accepted
time: 29ms
memory: 3832kb
input:
3281 0010001100110001110100111011111010111010011010100011101101001000011001110010100000000000001110110001110101110001001011110101010110010100100110111010011100100010010101010111011110011000001011100111111110001010011101000001000011111110001001011101010000101101100011000110100011101011001010010011010...
output:
-1
result:
ok output is valid
Test #31:
score: 0
Accepted
time: 24ms
memory: 3676kb
input:
3520 1101100010110110001010100100011100001100001100010100101111111000010100011001110010110110001000101110011101001100010110001001101000101101110110010011100100001011011011111011000000100111111110111110111111110100001001011101111010100101100110011010001001001001101100011010000110101100111101111111010...
output:
-1
result:
ok output is valid
Test #32:
score: 0
Accepted
time: 134ms
memory: 3608kb
input:
3051 1011110101011100000100011100010100000011110001010011011011001111100101001000111101110011111000000001101010000100010100000110000011111101010000010111001011000001111111000010001100100011011011001111000010010010100100001110010000000111111001010000010011011111000010101101011110011001101101001110010...
output:
-1
result:
ok output is valid
Test #33:
score: 0
Accepted
time: 11ms
memory: 3848kb
input:
226 1001011011001011001110011000001000001101110110101110001111100011100001101011111100011011000110001100000000110010110100111101110101001001010001110010101101101100101000101010100010001100101100111111010100111010010010010111011001 011100010011011111111011001101001110101010001011111101000100010010001...
output:
-1
result:
ok output is valid
Test #34:
score: 0
Accepted
time: 57ms
memory: 3660kb
input:
3346 1010101010011101100001001100100101101000110010100010110100011001100100101111100011000111111101010011010100000011101110010111110111011011011001100001001000011001001001010001010001111110100100010100001011010011011001101000001110101010100100011100110011111100110010010100101110011010011000101000100...
output:
40284 000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
result:
ok output is valid
Test #35:
score: -100
Wrong Answer
time: 172ms
memory: 3676kb
input:
3512 1111001111010100101010010010001101000010110111001110010101001110010011111001010100111110100001001011100011011000111010000010111011111001101100101010010111000000001101011000101100101110000010101110000011111110001000110011001111111000110001100111101001011010001001000101001101110011011010111111110...
output:
-1
result:
wrong answer mismatched m: expected 107254, found -1