方程挺好想的,就是本题的初始化我弄了挺久
不是忘了这个就是那个
#include<cstdio>
#include<cstdlib>
#include<iostream>
#include<cstring>
using namespace std;
int n1,n2;
const int N=103;
char s1[N],s2[N];
int d1[N],d2[N];
const int tab[5][5]=
{
{5,-1,-2,-1,-3},
{-1,5,-3,-2,-4},
{-2,-3,5,-2,-2},
{-1,-2,-2,5,-1},
{-3,-4,-2,-1,0}
};
int f[N][N];
int main()
{
scanf("%d%s",&n1,s1+1);
scanf("%d%s",&n2,s2+1);
for(int i=1;i<=n1;i++)
{
if(s1[i]=='A') d1[i]=0;
else if(s1[i]=='C') d1[i]=1;
else if(s1[i]=='G') d1[i]=2;
else if(s1[i]=='T') d1[i]=3;
}
for(int i=1;i<=n2;i++)
{
if(s2[i]=='A') d2[i]=0;
else if(s2[i]=='C') d2[i]=1;
else if(s2[i]=='G') d2[i]=2;
else if(s2[i]=='T') d2[i]=3;
}
memset(f,-0x3f,sizeof(f));
f[0][0]=0;for(int i=1;i<=n2;i++) f[0][i]=f[0][i-1]+tab[d2[i]][4];
for(int i=1;i<=n1;i++) f[i][0]=f[i-1][0]+tab[d1[i]][4];
for(int i=1;i<=n1;i++)
for(int j=1;j<=n2;j++)
{
f[i][j]=max(f[i-1][j-1]+tab[d1[i]][d2[j]],
max(f[i-1][j]+tab[d1[i]][4], f[i][j-1]+tab[d2[j]][4]) );
//printf("%d %d %d\n",f[i-1][j-1]+tab[d1[i]][d2[j]],f[i-1][j]+tab[d1[i]][4],f[i][j-1]+tab[d2[j]][4]);
//printf("%d\n",f[i][j]);
}
printf("%d\n",f[n1][n2]);
return 0;
}