PKU 2446

同3020,关键是建图,对每个点的四个相邻点,根据是否有hole,建立边的关系。

 

代码
   
     
// Rank:40 0ms
#include < stdio.h >
#include
< string .h >
#define NL 35
#define SL NL*NL

int adj[SL][ 5 ];
int mth[SL];
bool used[SL];
bool mx[NL][NL];
int flg[NL][NL];
int dir[ 4 ][ 2 ] = {{ 0 , 1 }, { 0 , - 1 }, { 1 , 0 }, { - 1 , 0 }};

bool path( int u)
{
for ( int v = 1 ; v <= adj[u][ 0 ]; v ++ ) {
int t = adj[u][v];
if ( ! used[t]) {
used[t]
= 1 ;
if ( ! mth[t] || path(mth[t])) {
mth[t]
= u;
return 1 ;
}
}
}
return 0 ;
}

int main()
{
int m, n, k;
int i, j, r, c, nt;
while (scanf( " %d%d%d " , & m, & n, & k) != EOF) {
memset(mx,
0 , sizeof (mx));
for (i = 0 ; i < k; i ++ ) {
scanf(
" %d%d " , & c, & r);
mx[r][c]
= 1 ;
}
if ((m * n - k) & 1 ) {
printf(
" NO\n " );
continue ;
}
memset(adj,
0 , sizeof (adj));
memset(flg,
0 , sizeof (flg));
nt
= 0 ;
for (i = 1 ; i <= m; i ++ ) {
for (j = 1 ; j <= n; j ++ ) {
if ( ! mx[i][j]) {
flg[i][j]
= ++ nt;
}
}
}
for (i = 1 ; i <= m; i ++ ) {
for (j = 1 ; j <= n; j ++ ) {
if ( ! mx[i][j]) {
for ( int t = 0 ; t < 4 ; t ++ ) {
int x = i + dir[t][ 0 ];
int y = j + dir[t][ 1 ];
if (x >= 1 && x <= m
&& y >= 1 && y <= n
&& ! mx[x][y]) {
int f1 = flg[i][j];
int f2 = flg[x][y];
adj[f1][
++ adj[f1][ 0 ]] = f2;
}
}
}
}
}
int ans = 0 ;
memset(mth,
0 , sizeof (mth));
for (i = 1 ; i <= nt; i ++ ) {
memset(used,
0 , sizeof (used));
if (path(i)) ans ++ ;
}
if (ans == m * n - k) {
printf(
" YES\n " );
}
else {
printf(
" NO\n " );
}
}
return 0 ;
}


 

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