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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#346656 | #4773. Piece it together | PetroTarnavskyi# | AC ✓ | 727ms | 125792kb | C++20 | 2.9kb | 2024-03-08 20:46:04 | 2024-03-08 20:46:05 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define RFOR(i, a, b) for(int i = (a) - 1; i >= (b); i--)
#define SZ(a) int(a.size())
#define ALL(a) a.begin(), a.end()
#define PB push_back
#define MP make_pair
#define F first
#define S second
typedef long long LL;
typedef vector<int> VI;
typedef pair<int, int> PII;
typedef double db;
struct SAT2
{
int n;
vector<VI> g[2];
VI used;
VI order;
VI color;
void init(int _n)
{
n = _n;
g[0].resize(2 * n);
g[1].resize(2 * n);
used.resize(2 * n);
color.resize(2 * n);
}
void addEdge(int a, int b)
{
FOR(i, 0, 2)
{
g[i][a].PB(b);
swap(a, b);
}
}
//2u = don't take edge
void addOrClause(int u, int xu, int v, int xv)
{
//(2*u + xu) || (2*v + xv)
FOR(i, 0, 2)
{
addEdge((2 * u + xu) ^ 1, 2 * v + xv);
swap(u, v);
swap(xu, xv);
}
}
void dfs(int v, int t, int col)
{
color[v] = col;
used[v] = 1;
for(int to : g[t][v])
if(!used[to])
dfs(to, t, col);
if(t == 0)
order.PB(v);
}
bool check()
{
FOR(i, 0, 2 * n)
{
if(!used[i])
dfs(i, 0, -1);
}
reverse(ALL(order));
fill(ALL(used), 0);
int col = 0;
for(int v : order)
{
if(used[v])
continue;
dfs(v, 1, col);
col++;
}
FOR(i, 0, n)
if(color[2 * i] == color[2 * i + 1])
return false;
return true;
}
};
void solve()
{
int n, m;
cin >> n >> m;
vector<string> grid(n + 2);
grid[0] = grid[n + 1] = string(m + 2, '.');
FOR(i, 0, n)
{
cin >> grid[i + 1];
grid[i + 1] = "." + grid[i + 1] + ".";
}
n += 2;
m += 2;
SAT2 S;
S.init(n * (m - 1) + m * (n - 1));
int cntB = 0, cntW = 0;
FOR(i, 1, n)
{
FOR(j, 1, m)
{
int a = i * (m - 1) + (j - 1);
int b = n * (m - 1) + j * (n - 1) + (i - 1);
if(grid[i][j] == '.')
{
S.addOrClause(a, 0, a, 0);
S.addOrClause(b, 0, b, 0);
continue;
}
int c = a + 1;
int d = b + 1;
if(grid[i][j] == 'W')
{
cntW++;
S.addOrClause(a, 0, b, 0);
S.addOrClause(a, 0, c, 0);
S.addOrClause(a, 0, d, 0);
S.addOrClause(b, 0, c, 0);
S.addOrClause(b, 0, d, 0);
S.addOrClause(c, 0, d, 0);
if(grid[i][j - 1] != 'B')
S.addOrClause(a, 0, a, 0);
if(grid[i - 1][j] != 'B')
S.addOrClause(b, 0, b, 0);
}
else
{
cntB++;
S.addOrClause(a, 1, c, 1);
S.addOrClause(a, 0, c, 0);
S.addOrClause(b, 1, d, 1);
S.addOrClause(b, 0, d, 0);
if(grid[i][j - 1] != 'W')
S.addOrClause(a, 0, a, 0);
if(grid[i - 1][j] != 'W')
S.addOrClause(b, 0, b, 0);
}
}
}
if(S.check() && 2 * cntB == cntW)
cout << "YES\n";
else
cout << "NO\n";
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
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: 0ms
memory: 3768kb
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: 727ms
memory: 125792kb
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