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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#579335 | #7900. Gifts from Knowledge | Master640 | WA | 38ms | 107024kb | C++14 | 3.2kb | 2024-09-21 12:33:30 | 2024-09-21 12:33:31 |
Judging History
answer
//
// Created by 35263 on 2024/9/20.
//
//每次选择是否反转一行,每一行最多进行一次反转,只有转和不转两种情况
//观察到r*c这是一个矩阵
//感觉像是一个dp
//给定相同相反关系,求方案数的题目,那么就必然是建图解决
//决定做就去做
//二分图染色 3 - color[x]
//连线+二分图染色说明两个不能同时选
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll maxn = 1000005;
const ll mod = 1e9 + 7;
string str[maxn];
ll n,m,cnt[maxn],vis[maxn*2];
vector<ll>pos[maxn],g[maxn*2];
//有意识地去突破
//i代表第i行不反转,i+n代表第i行反转
//所以连接的话,如果1都在第j列,那么(i->i'+n,i'->i+n);
//如果两个1不在同一列,那么(i->i',i+n->i’+n);
//最后普dfs一遍计算连通块个数,ksm一下即可
ll ksm(ll x,ll b){
ll ans=1;
while(b){
if(b&1)ans=(ans*x)%mod;
b>>=1;
x=(x*x)%mod;
}
return ans;
}
void update(){
for(ll i=1;i<=m;i++)pos[i].clear(),cnt[i]=0;
for(ll i=1;i<=2*n;i++)g[i].clear();
for(ll i=1;i<=2*n;i++)vis[i]=0;
}
void add(ll x,ll y){
g[x].push_back(y);g[y].push_back(x);
}
ll get_color(ll x){
for(auto v:g[x]){
if(vis[v]) {
if (vis[v] == vis[x])return false;
}
else {
vis[v] = 3 - vis[x];
get_color(v);
}
}
return true;
}
void init(){
cin>>n>>m;
update();
for(ll i=1;i<=n;i++)cin>>str[i],str[i]=" "+str[i];
for(ll i=1;i<=m;i++){
for(ll j=1;j<=n;j++){
if(str[j][i]=='1') {
cnt[i] += (str[j][i] == '1');
pos[i].push_back(j);
}
}
}
ll flag=true;
for(ll i=1;i<=(m+1)/2;i++){
if(i==m-i+1){
if(cnt[i]>1){
flag=false;
break;
}
continue;
}
if(cnt[i]+cnt[m-i+1]>2){
flag=false;
break;
}
}
if(!flag){
cout<<0<<endl;
return;
}
for(ll i=1;i<=n;i++)add(i,i+n);
for(ll i=1;i<=(m+1)/2;i++){
if(i==m-i+1)continue;
if(pos[i].size()==2){
ll u=pos[i][0],v=pos[i][1];
add(u,v);add(u+n,v+n);
}
else{
if(pos[i].size()==1&&pos[m-i+1].size()==1){
ll u=pos[i][0],v=pos[m-i+1][0];
add(u,v+n);add(v,u+n);
}
else{
if(pos[m-i+1].size()>=2) {
ll u = pos[m - i + 1][0], v = pos[m - i + 1][1];
add(u, v);
add(u + n, v + n);
}
}
}
}
ll cnt_blocks=0,ans=1;
flag=true;
for(ll i=1;i<=2*n;i++){
if(!vis[i]){
vis[i]=1;
if(get_color(i))ans=ans*2%mod;
else flag=false;
}
}
// cout<<cnt_blocks<<endl;
if(flag)
cout<<ans%mod<<endl;
else
cout<<0<<endl;
}
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
ll t;
cin>>t;
while(t--){
update();
init();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 16ms
memory: 107024kb
input:
3 3 5 01100 10001 00010 2 1 1 1 2 3 001 001
output:
4 0 2
result:
ok 3 number(s): "4 0 2"
Test #2:
score: 0
Accepted
time: 24ms
memory: 106604kb
input:
15613 10 10 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 15 8 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 1 5 00000 5 9 000000000 000000000 0000...
output:
1024 32768 2 32 32768 128 32 16 16 2 16384 16384 128 128 32768 8192 128 64 16384 2 4 2 4096 16 4096 1024 32768 32768 16384 8 128 2 16 4096 8192 32768 8192 8192 16 16384 16384 256 128 8 256 8 4096 512 2 4 32 32 2 64 512 1024 32768 32768 2 64 16384 16 8192 16 256 16 64 8192 8192 64 1024 2 32768 2 4 51...
result:
ok 15613 numbers
Test #3:
score: 0
Accepted
time: 38ms
memory: 105820kb
input:
15759 9 6 000000 000000 000000 000000 000000 000000 000000 000000 000000 5 15 010000000000000 000000000000000 000000000000000 000100000000000 000100000000000 14 12 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000...
output:
512 16 16384 512 1024 4096 32768 4 2 512 512 512 512 8 2 256 16 4096 512 64 16 4096 512 32 32768 8192 32 2048 128 16 4096 64 32768 256 32 16384 8 512 32 2048 8 16 1024 2048 128 64 32 8 512 8 8192 256 8192 32768 2 8 512 512 256 32 2 2048 8192 8 64 8 2 16384 32768 32768 1024 4096 16384 16384 128 256 4...
result:
ok 15759 numbers
Test #4:
score: -100
Wrong Answer
time: 28ms
memory: 105900kb
input:
15734 3 6 000101 010000 001110 5 7 0010010 1000000 0101000 0000000 0000000 10 9 000000000 100000000 000000000 000000000 000010000 000000001 000000000 000000000 000000000 000000000 5 14 10000000000000 00001001000000 00000100000000 00000000000000 00000100000000 5 14 00000000000000 00010000000100 00000...
output:
0 16 512 16 32 4096 0 256 0 0 0 0 4096 8 1024 128 8192 0 128 0 2 0 0 32 64 0 0 0 4096 64 8 8 32 128 64 4096 2 512 16384 4 2 0 0 32 0 4096 8 0 8192 256 256 64 0 32 0 32 0 256 4 16384 1024 4 0 16 256 0 2048 64 8 0 0 32768 2048 512 2048 2 0 8192 0 2 2048 16 512 256 1024 0 0 2 32 512 16384 0 32 1024 102...
result:
wrong answer 1479th numbers differ - expected: '0', found: '32'