【每日一题】德玛西亚万岁
德玛西亚万岁
https://ac.nowcoder.com/acm/problem/15034
题意:
思路:
#include <cstdio>
#include <cstring>
#include <vector>
#include <iostream>
using namespace std;
const int N = 15;
const int mod = 100000000;
int s[N];//每行的状态
int dp[N][4100];//dp(i,j)排到第i行,且第i行的状态为j的合法安排方案
int n,m;
vector<int> v;
//筛选所有合法状态
void init(){
v.clear();
for(int i = 0;i < (1<<m);i++){
if(i & i<<1) continue;
v.push_back(i);
}
}
int main(){
while(~scanf("%d%d",&n,&m)){
for(int i = 1;i <= n;i++){
int state = 0;
for(int j = 0,x;j < m;j++){
scanf("%d",&x);
state <<= 1;
if(x) state |= 1;
}
s[i] = state;
}
init();
memset(dp,0,sizeof(dp));
dp[0][0] = 1;
//s1上一行的状态,s2这一行的状态
int s1,s2;
for(int i = 1;i <= n+1;i++){
for(int j = 0;j < v.size();j++){
s1 = v[j];
if((s1&s[i]) != s1) continue;
for(int k = 0;k < v.size();k++){
s2 = v[k];
if(s1&s2) continue;
dp[i][s1] = (dp[i][s1] + dp[i-1][s2]) % mod;
}
}
}
printf("%d\n",dp[n+1][0]);
}
return 0;
} 