The problem
solution of a boss The
following content is adapted from the solution of the boss
answer:
dp[i][j][k] means that there are already 2 j columns in the first i row, and there are already 1 k columns, so the number of 0s is
mjk : directly add dp[i- 1][j][k]
put one: 1. Change a column of 0 to 1; 2. Change a column of 1 to 2 and
put two: 1. Change two columns of 0 to 1; 2. Change two columns of 1 to 2; 3. Change a column of 0 to 1 and then change another column of 1 to 2
About the number of combinations:
put one: directly multiply the number of numbers to be changed (0 or 1)
Put two: the first two directly C (n , 2) (n is an optional number)
According to the multiplication principle, the last one is first multiplied by the original number of 0s, and then multiplied by the original number of 1s
Standard range:
#include<bits/stdc++.h>
using namespace std;
const int M=9999973;
long long t,f[103][103][103];
int i,j,k,n,m;
int main(){
cin>>n>>m;
f[0][0][0]=1;
for (i=1;i<=n;i++)
for (j=0;j<=m;j++)
for (k=0;k<=m-j;k++){
t=f[i-1][j][k];//不放
if (j) t+=f[i-1][j-1][k+1]*(k+1);//放1个,1变2
if (k) t+=f[i-1][j][k-1]*(m-j-k+1);//放1个,0变1
if (j && k) t+=f[i-1][j-1][k]*k*(m-j-k+1);//放两个,0变1,1变2
if (j>1) t+=f[i-1][j-2][k+2]*(k+2)*(k+1)/2;//放两个,两列1变2
if (k>1) t+=f[i-1][j][k-2]*(m-j-k+2)*(m-j-k+1)/2;//放两个,两列0变1
f[i][j][k]=t%M;
}
t=0;
for (i=0;i<=m;i++)
for (j=0;j<=m-i;j++) t=(t+f[n][i][j])%M;
cout<<t;
}