G3. Good Substrings
来源:互联网 发布:俄罗斯淘宝 编辑:程序博客网 时间:2024/04/30 01:32
http://codeforces.com/contest/316/problem/G3
利用RMQ 求 后缀的前缀在每个串里面的个数
二分每个后缀满足要求的最大和最小前缀长度
我用了十个后缀数组
代码写得有些拖沓
#include <cstdio>#include <cstring>#include <algorithm>using namespace std;#define lson l,m,rt<<1#define rson m+1,r,rt<<1|1typedef long long LL;const int INF = 0x7f7f7f7f;const int maxn = 111111;const int mod = 1000000000;const double eps = 1e-10;char s[maxn];char ss[12][maxn];int A[20], B[20];int Log[20];int a[maxn], wa[maxn], wb[maxn], wv[maxn], wn[maxn];int tp[maxn];struct range_min_query { int i, j, k, r[18][maxn]; void make(int n, int arr[]) { for (i = 0; i <= n; ++i) r[0][i] = arr[i]; for (i = 0; i < 17; ++i) { k = Log[i]; for (j = 0; j + k <= n; ++j) r[i + 1][j] = min(r[i][j], r[i][j + k]); } } int query(int L, int R) { if (R == L) return r[k][L]; k = tp[R - L]; return min(r[k][L], r[k][R - Log[k]]); }} RMQ[10];struct suffix_array { int sum[maxn], sa[maxn], rank[maxn], h[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 r[], int n, int m) { int i, j, p, *t; int *x = wa, *y = wb; for (i = 0; i < m; ++i) wn[i] = 0; for (i = 0; i < n; ++i) wn[x[i] = r[i]]++; for (i = 1; i < m; ++i) wn[i] += wn[i - 1]; for (i = n - 1; i >= 0; --i) sa[--wn[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) wv[i] = x[y[i]]; for (i = 0; i < m; ++i) wn[i] = 0; for (i = 0; i < n; ++i) wn[wv[i]]++; for (i = 1; i < m; ++i) wn[i] += wn[i - 1]; for (i = n - 1; i >= 0; --i) sa[--wn[wv[i]]] = y[i]; p = 1, t = x, x = y, y = t; for (x[sa[0]] = 0, i = 1; i < n; ++i) x[sa[i]] = cmp(y, sa[i - 1], sa[i], j) ? p - 1 : p++; } } void Calheight(int r[], int n) { int i, j, k = 0; for (i = 1; i <= n; ++i) rank[sa[i]] = i; for (i = 0; i < n; h[rank[i++]] = k) for (k ? k-- : 0, j = sa[rank[i] - 1]; r[i + k] == r[j + k]; ++k) ; } int left(int l, int r, int k, range_min_query& RMQ) { int m, p = r, t, ans = r; while (l <= r) { m = (l + r) >> 1; t = RMQ.query(m + 1, p + 1); if (t >= k) ans = m, r = m - 1; else l = m + 1; } return ans; } int right(int l, int r, int k, range_min_query& RMQ) { int m, p = l, t, ans = l; while (l <= r) { m = (l + r) >> 1; t = RMQ.query(p + 1, m + 1); if (t >= k) ans = m, l = m + 1; else r = m - 1; } return ans; } int search(int p, int len, int k, range_min_query& RMQ) { int L, R; L = left(1, p, k, RMQ); R = right(p, len, k, RMQ); return getsum(L, R); } void Calsum(int n, int len) { sum[0] = 0; for (int i = 1; i <= n; ++i) sum[i] = sum[i - 1] + (sa[i] > len && sa[i] < n); } int getsum(int L, int R) { return sum[R] - sum[L - 1]; }} suffix[10], src;int tlen[15];bool low(int i, int n, int L) { int l, r, tmp; for (int k = 0; k < n; ++k) { l = suffix[k].rank[i]; r = tlen[k]; tmp = suffix[k].search(l, r, L, RMQ[k]); if (tmp > B[k]) return false; } return true;}bool high(int i, int n, int L) { int l, r, tmp; for (int k = 0; k < n; ++k) { l = suffix[k].rank[i]; r = tlen[k]; tmp = suffix[k].search(l, r, L, RMQ[k]); if (tmp < A[k]) return false; } return true;}int main() { int i, len, j; Log[0] = 1; for (i = 1; i < 20; ++i) Log[i] = Log[i - 1] << 1; tp[1] = 0; i = 0; for (j = 2; j < maxn; ++j) { if (Log[i + 1] < j) tp[j] = ++i; else tp[j] = i; //printf("%d %d\n",j,tp[j]); } scanf("%s", s); len = strlen(s); for (i = 0; i <= len; ++i) a[i] = (int) s[i]; src.Da(a, len + 1, 128); src.Calheight(a, len); for (i = 0; i < 10; ++i) for (j = 0; j < len; ++j) ss[i][j] = s[j]; int n; scanf("%d", &n); for (i = 0; i < n; ++i) { ss[i][len] = '$'; scanf("%s%d%d", ss[i] + len + 1, A + i, B + i); tlen[i] = strlen(ss[i]); for (j = 0; j <= tlen[i]; ++j) a[j] = (int) ss[i][j]; suffix[i].Da(a, tlen[i] + 1, 128); suffix[i].Calheight(a, tlen[i]); suffix[i].Calsum(tlen[i], len); RMQ[i].make(tlen[i] + 1, suffix[i].h); } int L, R, p, m, l, r; int ans = 0; for (i = 0; i < len; ++i) { p = src.rank[i]; L = src.h[p] + 1; R = len - i; l = -1, r = -2; while (L <= R) { m = (L + R) >> 1; if (low(i, n, m)) l = m, R = m - 1; else L = m + 1; } L = src.h[p] + 1; R = len - i; while (L <= R) { m = (L + R) >> 1; if (high(i, n, m)) r = m, L = m + 1; else R = m - 1; } if (r != -2 && l != -1 && r >= l) ans += (r - l + 1); } printf("%d\n", ans); return 0;}
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