hdu-6194 string string string 后缀数组 出现恰好K次的串的数量
最少出现K次我们可以用Height数组的lcp来得出,而恰好出现K次,我们只要除去最少出现K+1次的lcp即可。
#include <cstdio> #include <cstring> #include <algorithm> #include <iostream> using namespace std; const int maxn = 100000 + 10; int t1[maxn], t2[maxn], c[maxn]; bool cmp(int* r, int a, int b, int l) { return r[a] == r[b] && r[a + l] == r[b + l]; } void da(int str[], int sa[], int Rank[], int lcp[], int n, int m) { ++n; int i, j, p, *x = t1, *y = t2; for (i = 0; i < m; ++i) c[i] = 0; // puts("hha"); for (i = 0; i < n; ++i) c[x[i] = str[i]]++; for (i = 1; i < m; ++i) c[i] += c[i - 1]; for (i = n - 1; i >= 0; --i) sa[--c[x[i]]] = i; for (j = 1; j <= n; j <<= 1) { p = 0; for (i = n - j; i < n; ++i) y[p++] = i; for (i = 0; i < n; ++i) if (sa[i] >= j) y[p++] = sa[i] - j; for (i = 0; i < m; ++i) c[i] = 0; for (i = 0; i < n; ++i) c[x[y[i]]]++; for (i = 1; i < m; ++i) c[i] += c[i - 1]; for (i = n - 1; i >= 0; --i) sa[--c[x[y[i]]]] = y[i]; swap(x, y); p = 1; x[sa[0]] = 0; for (i = 1; i < n; ++i) { x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; } if (p >= n)break; m = p; } int k = 0; n--; for (i = 0; i <= n; ++i) Rank[sa[i]] = i; for (i = 0; i < n; ++i) { if (k)--k; j = sa[Rank[i] - 1]; while (str[i + k] == str[j + k])++k; lcp[Rank[i]] = k; //cout << k << endl; } } int lcp[maxn], a[maxn], sa[maxn], Rank[maxn]; char s[maxn]; int d[maxn][40]; int len; void rmq_init(int* A, int n) { for (int i = 0; i < n; ++i) d[i][0] = A[i]; for (int j = 1; (1 << j) <= n; ++j) for (int i = 0; i + (1 << j) - 1 < n; ++i) d[i][j] = min(d[i][j - 1], d[i + (1 << (j - 1))][j - 1]); } int ASK(int l, int r) { int k = 0; while ((1 << (k + 1)) <= r - l + 1)++k; return min(d[l][k], d[r - (1 << k) + 1][k]); } int ask(int l, int r) { if (l == r) return len - sa[r]; /// l == r的话 是一个串, 返回本身的长度即可。 return ASK(l + 1, r); ///否则在rmq查询。 } // int main() { //freopen("in.txt", "r", stdin); //freopen("outstd.txt", "w", stdout); int T; scanf("%d", &T); while (T--) { int k; scanf("%d", &k); scanf("%s", s); //puts(s); len = strlen(s); for (int i = 0; i < len; ++i) { a[i] = s[i] - 'a' + 1; } a[len] = 0; da(a, sa, Rank, lcp, len, 30); rmq_init(lcp, len + 1); long long ans = 0; if (k == 1) { for (int i = 1; i <= len; i++) { int siz = len - sa[i]; int des = 0; if (i > 1) des = max(des, ask(i - 1, i)); if (i < len) des = max(des, ask(i, i + 1)); ans += siz - des; } } else { for (int i = 1; i+k-1 <= len; i++) { int siz = ask(i, i + k - 1); int des = 0; if (i > 1) des = max(des, ask(i - 1, i + k - 1)); if (i + k <= len) des = max(des, ask(i, i + k)); ans += siz - des; } } printf("%I64d\n", ans); /* long long ans = 0; for (int i = 1; i + k - 1 <= len; ++i) { ans += ask(i, i + k - 1); if (i - 1 > 0)ans -= ask(i - 1, i + k - 1); ///注意边界问题。 if (i + k <= len)ans -= ask(i, i + k); if (i - 1 > 0 && i + k <= len)ans += ask(i - 1, i + k); } printf("%I64d\n", ans);*/ } return 0; }