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ZOJ1100Mondriaan's Dream

2016-03-22 12:09 204 查看
用1*2的砖去恰好铺满n*m的地板

import java.io.BufferedInputStream;
import java.io.BufferedOutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.Scanner;

public class Main {

public static void main(String[] args) {
new ZOJ1100().run();
}

}

class ZOJ1100 {
void run() {
Scanner cin = new Scanner(new BufferedInputStream(System.in));
PrintWriter cout = new PrintWriter(new BufferedOutputStream(System.out));
int h, w;
while (true) {
h = cin.nextInt();
w = cin.nextInt();
if (h == 0 && w == 0)
break;
if (h < w) {
int t = h;
h = w;
w = t;
}
List<State> states = new ArrayList<State>();
dfs(0, 0, 0, states, w);
for (int i = 0; i <= h; i++)
Arrays.fill(dp[i], 0L);
int limit = (1 << w) - 1;
dp[0][limit] = 1L;
for (int row = 0; row < h; row++) {
for (State state : states) {
dp[row + 1][state.to] += dp[row][state.from];
}
}
cout.println(dp[h][limit]);
}
cout.flush();
}

void dfs(int pos, int from, int to, List<State> state, int w) {
if (pos > w)
return;
if (pos == w) {
state.add(new State(from, to));
return;
}
dfs(pos + 2, from << 2 | 3, to << 2 | 3, state, w);
dfs(pos + 1, from << 1 | 1, to << 1, state, w);
dfs(pos + 1, from << 1, to << 1 | 1, state, w);
}

final int N = 11;
long[][] dp = new long[N + 1][(1 << N) + 1];

}

class State {
int from, to;

State(int from, int to) {
this.from = from;
this.to = to;
}
}
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