二分+height分组
height分组真的很常用。我们只要二分长度就可以了。
值得注意的是,第一次满足长度的height[i]此是贡献的相等的为2个后缀
代码如下
#include<iostream> #include<algorithm> #include<map> #include<cstdio> using namespace std; const int max_n = 2e4 + 100; int a[max_n]; int ranks[max_n], SA[max_n], height[max_n]; int wa[max_n], wb[max_n], wvarr[max_n], wsarr[max_n]; inline int cmp(int* r, int a, int b, int l) { return r[a] == r[b] && r[a + l] == r[b + l]; } inline void get_sa(int* r, int* sa, int n, int m) { //r:原数组 //sa:SA //n:原数组长度 //m:原数组种类数,用于基数排序 ++n; int i, j, p, * x = wa, * y = wb, * t; for (i = 0; i < m; ++i) wsarr[i] = 0; for (i = 0; i < n; ++i) wsarr[x[i] = r[i]]++; for (i = 1; i < m; ++i) wsarr[i] += wsarr[i - 1]; for (i = n - 1; i >= 0; --i) sa[--wsarr[x[i]]] = i; for (j = 1, p = 1; p < n; j <<= 1, m = p) { for (p = 0, 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 < n; ++i) wvarr[i] = x[y[i]]; for (i = 0; i < m; ++i) wsarr[i] = 0; for (i = 0; i < n; ++i) wsarr[wvarr[i]]++; for (i = 1; i < m; ++i) wsarr[i] += wsarr[i - 1]; for (i = n - 1; i >= 0; --i) sa[--wsarr[wvarr[i]]] = y[i]; for (t = x, x = y, y = t, p = 1, x[sa[0]] = 0, i = 1; i < n; ++i) x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; } }//求解高度数组,height[i]指排名 void get_height(int* r, int* sa, int n) { int i, j, k = 0; for (i = 1; i <= n; ++i) ranks[sa[i]] = i; for (i = 0; i < n; height[ranks[i++]] = k) for (k ? k-- : 0, j = sa[ranks[i] - 1]; r[i + k] == r[j + k]; k++); return; } int N, K; int b[max_n]; bool check(int mid) { int cnt = 1; for (int i = 1;i <= N;++i) { if (height[i] >= mid)++cnt; else cnt = 1; if (cnt >= K)return true; }return false; } int binary() { int lft = 0;int rght = N + 1; while (lft < rght) { int mid = (lft + rght) >> 1; if (check(mid))lft = mid + 1; else rght = mid; }return rght - 1; } int main() { scanf("%d %d", &N, &K); for (int i = 0;i < N;++i)scanf("%d", &a[i]); for (int i = 0;i < N;++i)b[i] = a[i]; sort(b, b + N);map<int, int> mp;int tot = 0; mp[b[0]] = ++tot; for (int i = 1;i < N;++i) if (b[i] != b[i - 1]) mp[b[i]] = ++tot; for (int i = 0;i < N;++i)a[i] = mp[a[i]]; get_sa(a, SA, N, N + 10); get_height(a, SA, N); printf("%d\n", binary()); }