题意:给出一个串,是由它的一个子串重复k次得到的,问k最大是多少。
题解:从小到大枚举长度i,如果长度i的子串刚好是重复了len/i次,应该满足len % i == 0和rank[0] - rank[i] == 1 和height[rank[0]] == len-i这些条件的,直接判断就可以了,第一次用da倍增超时了(1000000的数据忘了。。。),换成dc3过了。
#include
#include
#include
#define F(x) ((x) / 3 + ((x) % 3 == 1 ? 0 : tb))
#define G(x) ((x) < tb ? (x) * 3 + 1 : ((x) - tb) * 3 + 2)
using namespace std;
const int N = 1000005;
int wa[N], wb[N], ws[N], wv[N], sa[N * 3];
int rank[N * 3], height[N * 3], s[N], n;
char str[N];
int c0(int *r, int a, int b) {
return r[a] == r[b] && r[a + 1] == r[b + 1] && r[a + 2] == r[b + 2];
}
int c12(int k, int *r, int a, int b) {
if (k == 2)
return r[a] < r[b] || r[a] == r[b] && c12(1, r, a + 1, b + 1);
return r[a] < r[b] || r[a] == r[b] && wv[a + 1] < wv[b + 1];
}
void sort(int *r, int *a, int *b, int n, int m) {
for (int i = 0; i < n; i++) wv[i] = r[a[i]];
for (int i = 0; i < m; i++) ws[i] = 0;
for (int i = 0; i < n; i++) ws[wv[i]]++;
for (int i = 1; i < m; i++) ws[i] += ws[i - 1];
for (int i = n - 1; i >= 0; i--) b[--ws[wv[i]]] = a[i];
}
void dc3(int *r, int *sa, int n, int m) {
int i, j, *rn = r + n, *san = sa + n, ta = 0, tb = (n + 1) / 3, tbc = 0, p;
r[n] = r[n + 1] = 0;
for (i = 0; i < n; i++) if (i % 3 != 0) wa[tbc++] = i;
sort(r + 2, wa, wb, tbc, m);
sort(r + 1, wb, wa, tbc, m);
sort(r, wa, wb, tbc, m);
for (p = 1, rn[F(wb[0])] = 0, i = 1; i < tbc; i++)
rn[F(wb[i])] = c0(r, wb[i - 1], wb[i]) ? p - 1 : p++;
if (p < tbc) dc3(rn, san, tbc, p);
else for (i = 0; i < tbc; i++) san[rn[i]] = i;
for (i = 0; i < tbc; i++) if (san[i] < tb) wb[ta++] = san[i] * 3;
if (n % 3 == 1) wb[ta++] = n - 1;
sort(r, wb, wa, ta, m);
for (i = 0; i < tbc; i++) wv[wb[i] = G(san[i])] = i;
for (i = 0, j = 0, p = 0; i < ta && j < tbc; p++)
sa[p] = c12(wb[j] % 3, r, wa[i], wb[j]) ? wa[i++] : wb[j++];
for (; i < ta; p++) sa[p] = wa[i++];
for (; j < tbc; p++) sa[p] = wb[j++];
}
void calheight(int *r, int *sa, int n) {
int i, j, k = 0;
for (i = 1; i <= n; i++) rank[sa[i]] = i;
for (i = 0; i < n; height[rank[i++]] = k)
for (k ? k-- : 0, j = sa[rank[i] - 1]; r[i + k] == r[j + k]; k++);
}
int main() {
while (scanf("%s", str) == 1 && str[0] != '.') {
int len = strlen(str);
for (int i = 0; i < len; i++)
s[i] = str[i] - 'a' + 1;
s[len] = 0;
dc3(s, sa, len + 1, 105);
calheight(s, sa, len);
int flag = 0;
for (int i = 1; i <= len; i++) {
if (len % i == 0 && rank[0] == rank[i] + 1 && height[rank[0]] == len - i) {
printf("%d\n", len / i);
flag = 1;
break;
}
}
if (!flag)
printf("1\n");
}
return 0;
}