記憶化搜尋+狀態壓縮
一直逾時,看了標程後改了一個地方。
自己還是太菜啊
#include<iostream>#include<cstdio>#include<cstring>using namespace std;#define maxn 16#define INF 1<<30char a[maxn+1];int pali[1<<maxn];//是否是迴文 int dp[1<<maxn];//需要的step int n;int dfs(int x){if(dp[x]!=-1)return dp[x];int ans=INF;/*for(int i=x;i>=1;i--)// 以前是這麼寫 逾時了 if(pali[i]&&(x|i==x))ans=min(dfs(x-i)+1,ans);*/for(int i=x;i>=1;(--i)&=x)if(pali[i]&&(x|i==x))ans=min(dfs(x-i)+1,ans);return dp[x]=ans;}bool judge(int x){char str[maxn];int cnt=0;for(int i=0;i<n;i++) if(x>>i&1)str[cnt++]=a[n-i-1];for(int l=0,r=cnt-1;l<r;++l,--r)if(str[l]!=str[r])return 0;return 1;}int main(){int t;cin>>t;while(t--){cin>>a;n=strlen(a);memset(pali,0,sizeof(pali));memset(dp,-1,sizeof(dp));for(int i=0;i<(1<<n);i++)if(judge(i)){pali[i]=1;dp[i]=1;}dp[0]=0;int ans=dfs((1<<n)-1);printf("%d\n",ans);}return 0;}
非遞迴
#include<iostream>#include<cstdio>#include<cstring>#include<queue> using namespace std;#define maxn 16#define INF 1<<30char a[maxn+1];int pali[1<<maxn];//是否是迴文 int vis[1<<maxn];int n;void bfs(int x){queue<int> q;q.push(x);vis[x]=0;while(!q.empty()){int u=q.front();q.pop();if(u==0)return;for(int i=u;i>=1;(--i)&=u)if(pali[i]&&(u|i==u)&&vis[u-i]==-1){q.push(u-i);vis[u-i]=vis[u]+1;}}}bool judge(int x){char str[maxn];int cnt=0;for(int i=0;i<n;i++) if(x>>i&1)str[cnt++]=a[n-i-1];for(int l=0,r=cnt-1;l<r;++l,--r)if(str[l]!=str[r])return 0;return 1;}int main(){int t;cin>>t;while(t--){cin>>a;n=strlen(a);memset(pali,0,sizeof(pali));memset(vis,-1,sizeof(vis));for(int i=0;i<(1<<n);i++)if(judge(i))pali[i]=1;bfs((1<<n)-1);printf("%d\n",vis[0]);}return 0;}