Jan.20th
注:黑粗体为超链接
照题目要求模拟就行了
裸的扩欧
没有学过的童鞋戳右边→_→扩展欧几里得算法详解
C++ Code
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#include<cstdio>
#include<cstring> #include<algorithm> #include<cctype> #include<ctime> #include<cstdlib> #include<string> #include<queue> #include<cmath> #define Rep(x,a,b) for (int x=a;x<=b;x++) #define Per(x,a,b) for (int x=a;x>=b;x--) #define ll long long using namespace std; inline int IN(){ int x=0,ch=getchar(),f=1; while (!isdigit(ch)&&(ch!='-')&&(ch!=EOF)) ch=getchar(); if (ch=='-'){f=-1;ch=getchar();} while (isdigit(ch)){x=(x<<1)+(x<<3)+ch-'0';ch=getchar();} return x*f; } int exgcd(int a,int b,int &x,int &y){ if (b==0){x=1;y=0;return a;} int gcd=exgcd(b,a%b,x,y); int t=x; x=y;y=t-a/b*y; return gcd; } int A,B,C; int main(){ A=IN(),B=IN(),C=-1*IN(); int x,y; int gcd=exgcd(A,B,x,y); if (C%gcd!=0) return puts("-1"),0; ll s=C/gcd; printf("%I64d %I64d\n",s*x,s*y); } |
主要就是要在线性时间内求出所有的前缀是不是回文串
这个我们可以用扩展KMP搞
没有学过的童鞋戳右边→_→扩展KMP算法详解
然后我们把串S读进来 再反一下记为T
再把串T的后缀们与S做一下扩展KMP
如果对于串T存在$ex_i+i=len$那么也就是说:
在串S中$[ 0 , len-i+1 ]$这个前缀是回文串
然后剩下的就比较傻了
C++ Code
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#include<cstdio>
#include<cstring> #include<algorithm> #include<cctype> #include<ctime> #include<cstdlib> #include<string> #include<queue> #include<cmath> #define Rep(x,a,b) for (int x=a;x<=b;x++) #define Per(x,a,b) for (int x=a;x>=b;x--) #define ll long long using namespace std; inline int IN(){ int x=0,ch=getchar(),f=1; while (!isdigit(ch)&&(ch!='-')&&(ch!=EOF)) ch=getchar(); if (ch=='-'){f=-1;ch=getchar();} while (isdigit(ch)){x=(x<<1)+(x<<3)+ch-'0';ch=getchar();} return x*f; } const int maxlen=5000005; char s[maxlen],t[maxlen]; int next[maxlen],ex[maxlen],len,lev[maxlen]; void GetNext(){ next[0]=len; int k=0; while (k<len-1&&s[k]==s[k+1]) k++; next[1]=k;k=1; Rep(i,2,len-1){ int p=k+next[k]-1,L=next[i-k]; if (i+L<=p) next[i]=L; else{ int j=max(p-i+1,0); while (i+j<len&&s[j]==s[i+j]) j++; next[i]=j; k=i; } } } void GetExtend(){ int k=0; while (k<len&&t[k]==s[k]) k++; ex[0]=k;k=0; Rep(i,1,len-1){ int p=k+ex[k]-1,L=next[i-k]; if (i+L<=p) ex[i]=L; else{ int j=max(p-i+1,0); while (i+j<len&&s[j]==t[i+j]) j++; ex[i]=j; k=i; } } } int main(){ gets(s); len=strlen(s);t[len]=0; Rep(i,0,len-1) t[i]=s[len-i-1]; GetNext();GetExtend(); int Ans=0; Rep(i,0,len-1){ if (ex[len-i-1]+len-i-1==len) lev[i]=lev[(i-1)/2]+1,Ans+=lev[i]; else lev[i]=0; } printf("%d\n",Ans); } |
Jan 27, 2024 05:31:22 PM
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