题意:
有一个字符串T。字符串S的F函数值可以如下计算:F(S) = L * S在T中出现的次数(L为字符串S的长度)。求所有T的子串S中,函数F(S)的最大值。
题解:
求T的后缀自动机,然后所有每个后缀自动机的结点u
求出endpos[u]*maxlen[u]中的最大值即可
#include#include #include using namespace std;const int maxn = 1e6 + 100;const int maxn2 = maxn*2;int cnt = 1, last = 1;int endpos[maxn2], tr[maxn2][30], par[maxn2], mx[maxn2], c[maxn2], id[maxn2];int n;char s[maxn];void extend(int x){ int np = ++cnt, p = last; endpos[np] = 1; mx[np] = mx[p] + 1; last = np; while(p && !tr[p][x]) tr[p][x] = np, p = par[p]; if(!p) par[np] = 1; else { int q = tr[p][x]; if(mx[q] == mx[p]+1) par[np] = q; else { int nq = ++cnt; mx[nq] = mx[p]+1; memcpy(tr[nq], tr[q], sizeof(tr[q])); par[nq] = par[q]; par[q] = par[np] = nq; while(p && tr[p][x] == q) tr[p][x] = nq, p = par[p]; } }}void topsort(){ for(int i = 1; i <= cnt; i++) c[mx[i]]++; for(int i = 1; i <= n; i++) c[i] += c[i-1]; for(int i = 1; i <= cnt; i++) id[c[mx[i]]--] = i; for(int i = cnt; i; i--) endpos[par[id[i]]] += endpos[id[i]];}int main(){ cin>>s; n = strlen(s); for(int i = 0; i < n; i++) extend(s[i]-'a'); topsort(); endpos[0] = 0; long long ans = 0; for(int i = 1; i <= cnt; i++){ ans = max(ans, (long long)endpos[i]*mx[i]); } cout< <