zoj 3661 Palindromic Substring(后缀数组)

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首先记录每种回文串,然后我用height 数组二分查找统计每种回文串的出现次数,暴力排序求第K小的值


 

#include <utility>#include <algorithm>#include <string>#include <cstring>#include <cstdio>#include <iostream>#include <iomanip>#include <set>#include <vector>#include <cmath>#include <queue>#include <bitset>#include <map>#include <iterator>using namespace std;#define clr(a,v) memset(a,v,sizeof(a))#define lson l,m,rt<<1#define rson m+1,r,rt<<1|1const int INF = 0x7f7f7f7f;const int maxn = 211111;const double pi = acos(-1.0);const double eps = 1e-10;const int mod = 777777777;typedef long long ll;typedef pair<int, int> pii;typedef vector<int> VI;typedef vector<VI> VVI;typedef vector<VVI> VVVI;ll P[maxn];char s[maxn];int a[maxn], o[maxn];int val[30];int S[maxn], tot;pair<int, int> res[maxn];ll tmp[maxn];struct node {int l, m, len;} f[maxn];inline ll Mod(ll n) {return n < mod ? n : n % mod;}struct Range_M_Query {int r[20][maxn];int n, i, j, k;void make(int a[]) {for (i = 0; i <= n; ++i)r[0][i] = a[i];for (i = 0; i < 19; ++i) {k = (1 << 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) {k = 0, i = L != R, j = R - L;while (i * 2 < j)i <<= 1, ++k;return min(r[k][L], r[k][R - i]);}} RMQ;struct Suffix_Array {int wa[maxn], wb[maxn], wn[maxn], wv[maxn], h[maxn], rank[maxn], sa[maxn];int n;bool cmp(int r[], int a, int b, int l) {return (r[a] == r[b] && r[a + l] == r[b + l]);}void Calheight(int r[], int n) {this->n = n;int i, k = 0, j;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);}void Da(int r[], int n, int m) {int i, j, p, *t, *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 = 0; 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++;}}int LCP(int x, int y) {x = rank[x] + 1;y = rank[y] + 1;if (x > y)swap(x, y);return RMQ.query(x, y);}int left(int pos, int len) {int l, r;pos = pos[rank];l = 0, r = pos;int m, t, ans = r;while (l <= r) {m = (l + r) >> 1;t = RMQ.query(m + 1, pos + 1);if (t >= len)ans = m, r = m - 1;elsel = m + 1;}return ans;}int right(int pos, int len) {int l, r;pos = rank[pos];l = pos, r = n;int m, t, ans = l;while (l <= r) {m = (l + r) >> 1;t = RMQ.query(pos + 1, m + 1);if (t >= len)ans = m, l = m + 1;elser = m - 1;}return ans;}void print_sa(int n) {int i;for (i = 0; i <= n; ++i) {printf("%d %s\n", h[i], &s[sa[i]]);}}} suffix;int main() {ll k;int i, j, n, m, len, l, r, cnt, num, p, t;ll tv;P[0] = 1;for (i = 1; i < maxn; ++i)P[i] = Mod(P[i - 1] * 26);int T;scanf("%d", &T);while (T--) {scanf("%d%d", &n, &m);len = n;scanf("%s", s);s[n] = '$';for (i = 0; i <= n; ++i)o[i] = -1;for (i = n + 1, j = n - 1; j >= 0; --j, ++i)s[i] = s[j], o[i] = j;n = i;s[n] = 0;for (i = 0; i <= n; ++i)a[i] = (int) s[i];suffix.Da(a, n + 1, 128);suffix.Calheight(a, n);RMQ.n = n;RMQ.make(suffix.h);tot = 0;for (i = 1, num = maxn; i <= n; ++i) {num = min(num, suffix.h[i]);p = suffix.sa[i];if (~o[p]) {cnt = suffix.LCP(p, o[p]);if (cnt > num) {t = cnt;for (j = t; j > num; --j) {f[tot].l = o[p] - j + 1;f[tot].m = o[p];f[tot++].len = j * 2 - 1;}num = cnt;}}}for (i = 1, num = maxn; i <= n; ++i) {num = min(num, suffix.h[i]);p = suffix.sa[i];if (~o[p]) {cnt = suffix.LCP(p, o[p] + 1);if (cnt > num) {t = cnt;for (j = t; j > num; --j) {f[tot].l = o[p] - j + 1;f[tot].m = o[p];f[tot++].len = j * 2;}num = cnt;}}}for (i = 0; i < tot; ++i) {l = suffix.left(f[i].l, f[i].len);r = suffix.right(f[i].l, f[i].len);S[i] = (r - l + 1) >> 1;}while (m--) {scanf("%lld", &k);for (i = 0; i < 26; ++i)scanf("%d", val + i);tmp[0] = val[s[0] - 'a'];for (i = 1; i < len; ++i) {tmp[i] = Mod(tmp[i - 1] * 26 + val[s[i] - 'a']);}for (i = 0; i < tot; ++i) {l = f[i].l - 1;r = f[i].m;j = (f[i].len + 1) >> 1;tv = tmp[r];if (l >= 0)tv -= tmp[l] * P[j];tv = (tv % mod + mod) % mod;res[i].first = (int)tv;res[i].second = S[i];}sort(res, res + tot);for (i = 0; i < tot; ++i) {if (k > res[i].second)k -= res[i].second;else {printf("%d\n", res[i].first);break;}}}puts("");}return 0;}

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