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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#864606 | #4773. Piece it together | rladbeka | AC ✓ | 443ms | 161264kb | C++20 | 5.3kb | 2025-01-20 20:10:25 | 2025-01-20 20:10:25 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<ll> vi;
typedef vector<vi> vvi;
typedef array<ll, 2> pii;
typedef array<ll, 3> tii;
typedef vector<pii> vpii;
typedef double lf;
typedef string S;
#define V vector
#define PQ priority_queue
#define fastio; cin.tie(0); cout.tie(0); ios_base::sync_with_stdio(false);
#define vcin; for(int i=0; i<n; i++) cin >> v[i];
#define forf(i, s, e) for(ll i=s; i<e; i++)
#define forb(i, s, e) for(ll i=s-1; i>=e; i--)
#define pb push_back
#define sortv(v) sort(v.begin(), v.end())
#define sortc(v, cmp) sort(v.begin(), v.end(), cmp)
#define all(v) v.begin(), v.end()
const ll mod=1e9+7, MOD=998244353;
const ll dir4[4][2]={{0, 1}, {1, 0}, {-1, 0}, {0, -1}};
const ll dir8[8][2]={{0, 1}, {1, 0}, {-1, 0}, {0, -1}, {1, 1}, {1, -1}, {-1, 1}, {-1, -1}};
const ll inf=2147483647, linf=9223372036854775807;
const double pi=acos(-1), E=2.718281828459;
ll gcd(ll a, ll b){return b?gcd(b, a%b):a;}
ll n, e, N, M, Wc, Bc;
vvi edge, redge;
V<bool> vsd, rvsd;
vi vseq;
vvi scc;
void dfs(ll pnt){
vsd[pnt]=true;
for(ll i : edge[pnt]){
if(!vsd[i]) dfs(i);
}
vseq.pb(pnt);
}
void rdfs(ll pnt){
rvsd[pnt]=true;
for(ll i : redge[pnt]){
if(!rvsd[i]) rdfs(i);
}
scc[scc.size()-1].pb(pnt);
}
bool _2sat(){
vi sat(n);
forf(cnt, 0, scc.size())
for(ll i : scc[cnt])
sat[i]=cnt+1;
forf(i, 0, 2*N*M) if(sat[i]==sat[i+2*N*M]) return false;
return true;
}
bool solve(){
cin >> N >> M; n=N*M*4; // 0,1 UD / 2,3 LR
edge.clear(); redge.clear(); vsd.clear(); rvsd.clear();
vseq.clear(); scc.clear();
edge.resize(n); redge.resize(n);
vsd.resize(n); rvsd.resize(n);
Bc=0; Wc=0;
V<string> s(N);
forf(i, 0, N) cin >> s[i];
forf(i, 0, N){
forf(j, 0, M){
Wc+=(s[i][j]=='W');
Bc+=(s[i][j]=='B');
if(s[i][j]=='B'){
bool up=(i>0 && s[i-1][j]=='W');
bool down=(i<N-1 && s[i+1][j]=='W');
ll O=M*i+j, U=M*(i-1)+j, L=M*i+(j-1), lr=N*M, Not=2*N*M;
if(up && down){
edge[U+Not].pb(O);
edge[O+Not].pb(U);
}
else if(up){
edge[U+Not].pb(U);
}
else if(down){
edge[O+Not].pb(O);
}
else{
return false;
}
bool left=(j>0 && s[i][j-1]=='W');
bool right=(j<M-1 && s[i][j+1]=='W');
if(left && right){
edge[L+Not+lr].pb(O+lr);
edge[O+Not+lr].pb(L+lr);
}
else if(left){
edge[L+Not+lr].pb(L+lr);
}
else if(right){
edge[O+Not+lr].pb(O+lr);
}
else{
return false;
}
}
}
}
forf(i, 0, N){
forf(j, 0, M){
if(s[i][j]!='W') continue;
if(i<N-1 && j<M-1 && s[i+1][j]=='B' && s[i][j+1]=='B'){
ll UD=i*M+j, LR=i*M+j+N*M, Not=2*N*M;
edge[UD].pb(LR+Not);
edge[LR].pb(UD+Not);
}
if(i<N-1 && j>0 && s[i+1][j]=='B' && s[i][j-1]=='B'){
ll UD=i*M+j, LR=i*M+(j-1)+N*M, Not=2*N*M;
edge[UD].pb(LR+Not);
edge[LR].pb(UD+Not);
}
if(i>0 && j<M-1 && s[i-1][j]=='B' && s[i][j+1]=='B'){
ll UD=(i-1)*M+j, LR=i*M+j+N*M, Not=2*N*M;
edge[UD].pb(LR+Not);
edge[LR].pb(UD+Not);
}
if(i>0 && j>0 && s[i-1][j]=='B' && s[i][j-1]=='B'){
ll UD=(i-1)*M+j, LR=i*M+(j-1)+N*M, Not=2*N*M;
edge[UD].pb(LR+Not);
edge[LR].pb(UD+Not);
}
if(i>0 && i<N-1 && s[i-1][j]=='B' && s[i+1][j]=='B'){
ll UD=(i-1)*M+j, LR=i*M+j, Not=2*N*M;
edge[UD].pb(LR+Not);
edge[LR].pb(UD+Not);
}
if(j>0 && j<M-1 && s[i][j-1]=='B' && s[i][j+1]=='B'){
ll UD=i*M+j-1+N*M, LR=i*M+j+N*M, Not=2*N*M;
edge[UD].pb(LR+Not);
edge[LR].pb(UD+Not);
}
}
}
if(Wc!=Bc*2) return false;
forf(i, 0, n)
for(ll j : edge[i])
redge[j].pb(i);
/*forf(i, 0, n){
cout << i << ") ";
for(ll j : edge[i])
cout << j << " ";
cout << "\n";
}*/
forf(i, 0, n){
sortv(edge[i]);
sortv(redge[i]);
}
forf(i, 0, n){
if(!vsd[i]) dfs(i);
}
while(vseq.size()){
ll vt=vseq[vseq.size()-1];
if(rvsd[vt]){
vseq.pop_back();
continue;
}
scc.pb({});
rdfs(vt);
sortv(scc[scc.size()-1]);
}
/*cout << " \n";
for(vi v : scc){
for(ll i : v) cout << i <<" ";
cout <<" / ";
}
cout << "\n";*/
return _2sat();
}
int main(){
fastio;
ll t; cin >> t;
while(t--){
cout << (solve()?"YES\n":"NO\n");
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3712kb
input:
2 3 4 BWW. WWBW ..WB 3 3 W.. BW. WBW
output:
YES NO
result:
ok 2 token(s): yes count is 1, no count is 1
Test #2:
score: 0
Accepted
time: 443ms
memory: 161264kb
input:
70 3 4 BWW. WWBW ..WB 3 3 W.. BW. WBW 1 1 B 3 3 ... .W. ... 2 2 W. BW 2 3 .W. WBW 1 3 WBW 2 5 .W.W. WB.BW 2 2 WW .B 2 2 WB .. 3 3 WWB BWW WWB 3 5 .W.WB WBW.W ...WB 4 5 ..W.. .WBW. WBWBW .WBW. 3 9 BWW...W.. WWBW..BW. ..WB..WBW 4 12 BWWBWWBWWBWW WWBWWBWWBWWB BWWBWWBWWBWW WWBWWBWWBWWB 7 7 BWWBBWW WBWWW...
output:
YES NO NO NO YES NO NO YES NO NO NO NO YES NO YES YES NO YES YES YES NO YES YES NO NO NO NO NO NO NO NO NO YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES NO YES NO YES NO NO NO NO NO YES NO YES YES NO NO NO NO NO
result:
ok 70 token(s): yes count is 34, no count is 36